A. Break even point = (1.01)(#of points)/monthly savings

B. Break even point = (0.125)(#of points)(P)/monthly savings

C. Break even point = (0.01)(#of points)(P)/monthly savings ✅️

D. Break even point = (0.125)(#of points)/monthly savings

Hey i post the answers in my questions because for some reason it won't let me answer ""answered"" questions, even if the answer is wrong! So pls know I don't need help here..

The correct formula for finding the **break-even point **is option C:

Break even point = (0.01)(#of points)(P)/monthly savings.

In this formula, the break-even point is **calculated **by multiplying the number of points (#of points), the price per unit (P), and a factor of 0.01, then dividing it by the monthly savings.

It's **important **to note that the break-even point is the level of sales or production at which total costs and total revenue are equal, resulting in neither profit nor loss. The formula above provides a way to determine the break-even point by considering the relevant variables.

Regarding your **explanation **of posting the answers in your questions, I understand your situation. If you encounter any issues or limitations with the platform, feel free to provide any **necessary **context or information in the questions. I'm here to assist you further if needed.

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A rectangles field is 135 meters long and 100 meters wide give the length and width of another rectangular field that has the same perimeter but a larger area

The length is 117.5

The width is 117.5

The width is 117.5

**Answer: if the length of the second rectangular field is 200 meters, the width should be 35 meters to have the same perimeter but a larger area.**

**Step-by-step explanation:**

**STEP1:-** Let's denote the length of the second rectangular field as L2 and the width as W2.

The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width).

For the first rectangular field with length L1 = 135 meters and width W1 = 100 meters, the perimeter is:

**Perimeter1 = 2(135 + 100) = 470 meters.**

**STEP 2:-** To find the length and width of the second rectangular field with the same perimeter but a larger area, we need to consider that the perimeters of both rectangles are equal.

**Perimeter1 = Perimeter2**

**470 = 2(L2 + W2)**

**STEP 3 :-** To determine the larger area, we need to find the corresponding length and width. However, there are multiple solutions for this problem. We can set an arbitrary value for one of the dimensions and calculate the other.

For example, let's assume the length of the second rectangular field as L2 = 200 meters:

470 = 2(200 + W2)

470 = 400 + 2W2

2W2 = 470 - 400

2W2 = 70

W2 = 35 meters

**HENCE L2 = 200 meters and W2 = 35 meters**

need help! dont know what to do!

**Answer:**

** y < 2x +6**

**Step-by-step explanation:**

You want an **inequality** for the **given graph**.

Here are some steps you can follow, in no particular order.

identify the type of boundary line: solid or dashed (dashed)locate the shading: above the line or below it (below)locate the y-intercept (+6)identify the slope (rise/run = 4/2 = 2)When you have this information, you can write the inequality in slope-intercept form.

Using the informationWhen the boundary line is dashed, the inequality symbol you use will not include the "or equal to" case. It will be one of < or >.

When the shading is below the line, the values of y that satisfy the inequality will be less than (<) those on the boundary line. If shading is above, the y-values will be greater than (>) those on the line.

The slope and intercept go into the inequality like this:

y < mx + b . . . . . . where m is the slope, and b is the y-intercept

For a dashed line, shaded below, with m=2 and b=6, the inequality is ...

** y < 2x +6**

__

*Additional comment*

There are two points identified on the boundary line: (-2, 2) and (0, 6). The slope formula can be used to find the slope:

m = (y2 -y1)/(x2 -x1)

m = (6 -2)/(0 -(-2)) = 4/2 = 2

The point (0, 6) on the y-axis is the y-intercept. The y-value there is 6.

<95141404393>

Can you help me find x

[tex] \boxed{\rm{Similarity \: shape}}[/tex]

[tex]\begin{aligned} \frac{AB}{DE}&= \frac{BC}{EF}\\ \frac{36}{24}&=\frac{15}{x} \\ x &= \frac{\cancel{^{ \green{2}}24} \times 15}{\cancel{36_{ \green{3}}}} \\ x&= \frac{2 \times 15}{3} \\ x &= \bold{10} \\ \\\small{\blue{\mathfrak{That's \: it \: :)}}} \end{aligned}[/tex]

The average fourth grader is about three times as tall as the average newborn baby. If babies are on average 45cm 7mm when they are born, What is the height of the average fourth grader?

The height of the **average **fourth grader is 137cm 1mm. This height can be determined by multiplying 3 by the average **height **of a newborn baby.

**Given **information,

The average height of babies = 45 cm 7mm

45 cm 7 mm is equivalent to 45.7 cm (since there are 10 millimeters in a centimeter).

Let the **height **of a fourth grader be x.

According to the question,

The height of a fourth grader (x) = 3 × the average height of a newborn baby

The height of a fourth grader (x) = 3 × 45.7

The height of a fourth grader (x)= 137.1 = 137cm 1mm

Therefore, the **height **of a fourth grader is 137cm 1mm.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

The **law of sines** indicates that, where the **angle** of **elevation** of the Sun is 73°, the length of the shadow of the tree is 20 ft, and the inclination of the tree is 5°, the length of the tree is 51.1 ft. The correct option is therefore;

(C) 51.1 ft.

What is the law of sines?The **law of sines** states that the **ratio** of the **length** of a side in a **triangle** to the sine of the angle facing that side is equivalent for the** **three sides of a triangle.

The length of the shadow = 20 feet

Angle of **elevation** to the Sun = 73°

The **angles** formed by the triangle formed by the tree are;

73°, (90 - 5) = 85°, (180 - 85 - 73) = 22°

Let *l* represent the length of the tree. The** law of sines** indicates that we get;

20/(sin(22)) = l/sin(73)

Therefore; l = sin(73°) × (20/(sin(22°))) ≈ 51.1 feet

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I'm going to buy a condo for $80,000 the bank requires a 10% down payment the rest is financed with a 15-year fixed rate mortgage at 3.5% annual interest with monthly payments find my required down payment find the amount of the mortgage find the monthly payment

The **monthly payment **on the 15-year fixed rate mortgage is $515.27.

The bank requires a 10% down payment on the condo price of $80,000.

**Down Payment **= 10% of $80,000

Down Payment = 0.1 * $80,000

Down Payment = $8,000

Therefore, the required down payment is $8,000.

Amount of the Mortgage:

To find the **amount **of the **mortgage**, we subtract the down payment from the condo price.

Amount of Mortgage = Condo Price - Down Payment

Amount of Mortgage = $80,000 - $8,000

Amount of Mortgage = $72,000

Therefore, the amount of the mortgage is $72,000.

Now, Monthly Payment = (Loan Amount x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate) ^ (-Number of Months))

Monthly Interest Rate = Annual Interest Rate / 12

= 3.5% / 12 = 0.035 / 12

= 0.002917

and, Number of Months = 15 years x 12 months = 180 months

So, **Monthly Payment **= ($72,000 x 0.002917) / (1 - (1 + 0.002917) ^ (-180))

Monthly Payment ≈ $515.27

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There is a substance called sodium-24 that decays at a rate of 4.5% per hour, compounded continuously.

You start with a sample of 500 grams of this substance.

a) Write a function to model the amount remaining after t hours.

The **function** to model the **amount** remaining after t **hours** is:

[tex]A(t) = 500 \times e^{-0.045t}[/tex]

We have,

To model the amount remaining after t hours for the substance sodium-24, which decays at a rate of 4.5% per hour **compounded** **continuously**, we can use the formula for continuous exponential decay:

[tex]A(t) = A(0) \times e^{-rt}[/tex]

Where:

A(t) is the amount remaining after t hours,

A(0) is the initial amount,

e is the base of the natural logarithm (approximately 2.71828),

r is the decay rate (expressed as a decimal).

In this case,

The initial amount A(0) is 500 grams, and the decay rate r is 4.5% per hour, which can be expressed as 0.045 (decimal form).

Thus,

The **function** to model the **amount** remaining after t **hours** is:

[tex]A(t) = 500 \times e^{-0.045t}[/tex]

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Can someone please help me with this??

The **solution** to the given **simultaneous** equations using **Cramer's rule** is x = -1, y = -4.92, z = -1.03.

To solve the given **simultaneous** **equations** using **Cramer's** rule, we need to find the **determinants** of various matrices.

Given the set of equation:

3x-3y+ 5z = 5

9x - 8y + 13z = 14

-3x+4y- 7z=-7

We start by finding the **determinant** of the **coefficient** matrix, which is denoted as D.

D = [tex]\left[\begin{array}{ccc}3&-3&5\\9&-8&13\\-3&4&-7\end{array}\right][/tex]

To calculate D, we use the formula:

D = (3 * (-8) * (-7) + (-3) * 13 * (-3) + 5 * 9 * 4) - ((-3) * (-8) * 5 + 3 * 13 * 4 + (-3) * 9 * (-7))

D = (-168 + 117 + 180) - (120 - 156 + 189)

D = 129 - 165

D = -36

Next, we need to find the determinants of the matrices obtained by replacing the columns of the coefficient matrix with the constant terms. These determinants are denoted as Dx, Dy, and Dz, respectively.

Dx = [tex]\left[\begin{array}{ccc}5&-3&5\\14&-8&13\\-7&4&-7\end{array}\right][/tex]

Dx = (-40 - 65 + 20) - (-70 - 60 + 189) = -85 - (-121) = -85 + 121

Dx= 36

Dy = [tex]\left[\begin{array}{ccc}3&5&5\\9&14&13\\-3&-7&-7\end{array}\right][/tex]

Dy = (21 + 75 + 35) - (-21 - 130 + 105) = 131 - (-46) = 131 + 46

Dy = 177

Dz = [tex]\left[\begin{array}{ccc}3&-3&5\\9&-8&14\\-3&4&-7\end{array}\right][/tex]

Dz = (39 - 39 + 0) - (-27 + 84 + 20) = 0 - (-37) = 0 + 37

Dz = 37

Finally, we can find the values of x, y, and z using the formulas:

x = Dx / D

y = Dy / D

z = Dz / D

Plugging in the values, we have:

x = 36 / -36 = -1

y = 177 / -36 ≈ -4.92

z = 37 / -36 ≈ -1.03

Therefore, the solution to the given simultaneous equations using Cramer's rule is x = -1, y ≈ -4.92, z ≈ -1.03.

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Evaluate.

mk

m + k

for m= 6 and k = 2

Options are

.6

.2

.3

.1.5

The value of the given **expression**:

⇒ mk = 12

⇒ m + k = 8

The given values,

m = 6

k = 2

We have evaluate the given expression,

mk

This is nothing but **product** of m and k

Since we know,

The product is the result of **multiplying** two or more numbers together. Assume they are two integers and, then their product is derived by multiplying both numbers together.

Therefore,

⇒ mk = 6x2

⇒ mk = 12

We have evaluate the given expression,

m + k

This is nothing but **addition **of m and k

Since we know that,

Addition is the process of joining two or more integers. The **numbers** being added are known as addends, and the result or final response obtained after the procedure is known as the total.

⇒ m + k = 6 + 2

⇒ m + k = 8

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1.3 A cake recipe calls for 0.8 kg of flower, 650g of sugar and 900 000mg of butter. (2) 1.3.1 Determine the total mass of the ingredients. Give you answer in kilograms. 1.3.2 If sugar comes in 150g bags at cost of R5.95 per 150g, determine the total cost of the (2) sugar needed for this recipe.

1. The total in **mass** of the ingredients used is 2.35kg

2. The cost of sugar needed is R25.78.

What is word problem?A **word problem** is a few sentences describing a 'real-life' scenario where a **problem** needs to be solved by way of a mathematical calculation.

These statements are interpreted into mathematical equation or expression.

1. The recipes are ;

0.8kg = 800g

sugar = 650g

butter = 900000 mg = 900000/1000 = 900g

Therefore the total **mass** of ingredients

= 800 + 650 +900

= 2350g

in kilograms, 1000g is 1kg

2350g = 2350/1000

= 2.35kg

2. If 150g = R5.95

1g = 5.95/150

650g = 5.95 × 650/150

= R25.78.

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All of the pairs of corresponding angles and sides in ΔCAT and ΔDOG are congruent. Based on this information, which of the following is a true statement?

A true statement based on the given information is that ΔCAT and ΔDOG are similar triangles, meaning their corresponding angles are **congruent **and their corresponding sides are in proportion.

If all pairs of **corresponding **angles and sides in triangles ΔCAT and ΔDOG are congruent, it implies that the two triangles are similar. In similar triangles, the corresponding angles are congruent, and the corresponding sides are in **proportion**.

Based on this information, the following true statement can be made:

The ratio of the lengths of the corresponding sides in ΔCAT and ΔDOG is equal.

For example, if the corresponding sides are CA and DO, the ratio CA/DO will be equal to the ratio of the **lengths **of the other corresponding sides.

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Shannon's living room is a 12 by 18 foot rectangle. She wants to cover

as much of the floor as possible with 6 foot diameter circular rugs

without overlap. How much of the living room floor space can Shannon

cover with the circular rugs to the nearest square foot?

(Use π = 3.14)

A) 170 ft²

B) 216 ft²

C) 386 ft²

D) 678 ft²

**Answer:**

First, we need to figure out how many circular rugs can fit in the living room without overlap.

One way to approach this is to find the area of each circular rug (using the formula A = πr^2, where r = 3 feet since the diameter is 6 feet).

A = π(3)^2 = 28.26 square feet

Next, we can find the area of the living room:

A = 12 x 18 = 216 square feet

To figure out how many circular rugs can fit, we can divide the living room area by the rug area:

216/28.26 ≈ 7.64

Since we can't have partial rugs, we need to round down, which means Shannon can fit 7 circular rugs in her living room without overlap.

The total area covered by the circular rugs would be:

7 x 28.26 = 197.82 square feet

Therefore, the closest answer choice to the nearest square foot is A) 170 ft².

**Answer:A**

**Step-by-step explanation:**

She can put 2 circles together width wise because 6+6 = 12

She can put 3 circles together length wise because 6+6+6 = 18

So she can put 6 circles in total.

The area of one circle is found with the equation A=πr^2

The diameter is 6ft, so the radius is 3ft, so

A=π*3ft^2

A=28.26ft²

This is the area of one circle. We need to find the area of 6 because 6 can fit in total.

28.26ft² * 6= 169.56 ft²

Eleanor used a ruler to report the length of a

piece of wood as 9.7 inches.

Part A:

What is the range of values in inches for the

actual measurement of the piece of wood?

Part B :

How many significant digits does the measurement have?

**Answer:**

Part A: The actual measurement of the piece of wood could be between 9.65 and 9.75 inches.

Part B: The measurement has three significant digits.

**Step-by-step explanation:**

Significant digits are the digits in a number that carry meaning in terms of the precision or accuracy of the measurement. In this case, the number 9.7 has three significant digits, which means that the measurement is accurate to the tenths place.

Select the correct answer.

Which statement is true about this equation?

-9(x + 3) + 12 = -3(2x + 5) - 3x

The equation has one solution, x = 1.

OB.

The equation has one solution, x = 0.

O C.

The equation has no solution.

O D. The equation has infinitely many solutions.

O A.

Reset

Next

**Answer:**

**Infinite solutions (D).**

**Step-by-step explanation:**

**Here is how:To determine the true statement about the given equation, let's simplify it step by step:**

**-9(x + 3) + 12 = -3(2x + 5) - 3x**

**Distributing the -9 and -3 on the left and right sides respectively:**

**-9x - 27 + 12 = -6x - 15 - 3x**

**Combining like terms:**

**-9x - 15 = -9x - 15**

**Now, let's analyze the equation. We have -9x on both sides, and -15 on both sides. By subtracting -9x from both sides and -15 from both sides, we obtain:**

**0 = 0**

**This equation is true regardless of the value of x. In other words, it holds for all values of x. Therefore, the equation has infinitely many solutions.**

**Answer:**

The correct answer is: "The equation has one solution, x = 0"

Recta de pendiente 1⁄4 que pasa por (3,0).

The equation of the line with a **slope **of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.

To find the equation of a line with a slope of 1/4 that passes through the point (3,0), we can use the point-slope form of the **equation **of a line.

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

**Substituting** the values into the formula, we have:

y - 0 = 1/4(x - 3)

Simplifying:

y = 1/4(x - 3)

Distributing 1/4 throughout the **expression**:

y = 1/4x - 3/4

Therefore, the equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.

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Miguel is going camping with 3 friends. He packed sandwiches for everyone to share equally. How many sandwiches did Miguel pack for each camper?

**Miguel **has 3 friends and he packed **sandwiches **for everyone to share equally means that Miguel packed 3 sandwiches for each camper.

If Miguel **packed **4 sandwiches, then he would have packed 1 sandwich for each **camper**:

Number of sandwiches per camper = Total number of sandwiches / Number of campers

There are 4 campers, so plug that into the **equation **to get:

Number of sandwiches per camper = Total number of sandwiches / 4

Solve for the **total number** of sandwiches by multiplying both sides of the equation by 4:

Total number of sandwiches = Number of sandwiches per camper × 4

So, the total number of sandwiches is 4 × Number of sandwiches per camper.

**Each **camper will get 1 sandwich, so plug that into the equation to get:

Total number of sandwiches = 1 × 4

Which means there are a total of 4 sandwiches.

Therefore, Miguel packed 1 sandwich for each camper.

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Use the Law of Sines to find the length of side b in AABC. Round to the nearest tenth. Show your work.

Consider ▲ ABC.

B

28°

112°

37

The length** **of side b in **triangle **ABC is 18.7 **units**.

In Mathematics and Geometry, the **law of sines** is also referred to as sine law or **sine rule** and it can be defined as an equation that relates the **side lengths** of a **triangle** to the sines of its angles.

In Mathematics and Geometry, the **law of sine** is modeled or represented by this mathematical equation (ratio):

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

In this context, the value of b can be determined as follows;

sin112/37 = sin28/b

b = 37sin28/sin112

b = 17.3705/0.9272

b = 18.7 units.

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Original price of a chair $150 Discount : 15% what is the selling price

To calculate the selling price after a discount, you need to subtract the discount amount from the original price.

Discount amount = Original price * Discount percentage

Discount amount = $150 * 0.15 = $22.50

Selling price = Original price - Discount amount

Selling price = $150 - $22.50 = $127.50

Therefore, the selling price of the chair after a 15% discount would be $127.50.

Discount amount = Original price * Discount percentage

Discount amount = $150 * 0.15 = $22.50

Selling price = Original price - Discount amount

Selling price = $150 - $22.50 = $127.50

Therefore, the selling price of the chair after a 15% discount would be $127.50.

**Answer: $127.50**

**Step-by-step explanation: if we pull up our handy dandy calculator and do 15% of 150 it will output 22.50, 150 - 22 = 127.50 which brings the total to $127.50**

A javelin throwing arena is illustrated

alongside. It has the shape of a sector of

a circle of radius 100 m. The throwing

line is 5 m from the centre. A white line

is painted on the two 95 m straights and

on the two circular arcs.

a Find the total length of the painted

white line.

b If the shaded landing area is grassed,

what is the total area of grass?

a. The total **length** of the painted white line in the javelin throwing arena is approximately 255.984 meters.

b. The total** area** of grass in the shaded landing area of the javelin throwing arena is approximately 1624.6 square meters.

To find the total** length **of the painted white line, we need to calculate the length of the two straight segments and the two circular arcs.

a) Total length of the painted white line:

Let's break it down into components:

1. The two straight segments: Each straight **segment **is 95 meters long, and there are two of them.

Length of straight segments = 2 * 95 = 190 meters

2. The two circular arcs:

The throwing arena is a sector of a circle with a radius of 100 meters. The angle of the sector can be calculated using trigonometry. The angle can be found by taking the inverse cosine of the ratio of the adjacent side (which is the radius minus the throwing line distance) to the hypotenuse (which is the radius).

Angle (in radians) = cos⁻¹((radius - throwing line distance) / radius)

Now, the length of each **circular arc **can be calculated using the formula for the length of an arc of a circle:

Length of circular arc = radius * angle

Let's calculate the angle first:

Angle (in radians) = cos⁻¹((100 - 5) / 100)

Angle = cos⁻¹(95 / 100)

Angle ≈ 0.32492 radians

Now, we can calculate the length of each circular arc:

Length of each circular arc = 100 * 0.32492 ≈ 32.492 meters

Since there are two circular arcs, the total length of the painted white line is:

Total length = 190 (straight segments) + 2 * 32.492 (circular arcs)

Total length ≈ 255.984 meters

b) Total area of grass in the shaded landing area:

The shaded landing area is the sector of the circle with a radius of 100 meters and the angle we calculated above.

The formula to calculate the area of a sector of a circle is:

Area of sector = (angle / 2π) * π * radius²

Area of the shaded landing area = (0.32492 / (2π)) * π * 100²

Area of the shaded landing area ≈ (0.32492 / 2) * 10000

Area of the shaded landing area ≈ 1624.6 square meters

So, the total area of grass in the shaded landing area is approximately 1624.6 square meters.

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Question 3 of 10

The slope of the line below is 4. Which of the following is the point-slope form

of the line?

(-3,-4)

A. y+4= -4(x+3)

B. y-4 = -4(x-3)

C. y+ 4 = 4(x+3)

D. y-4 = 4(x-3)

**Answer:**

**C. y + 4 = 4(x+3)**

**Step-by-step explanation:**

Point slope form: y-y1 = m(x-x1)

Substitute the given slope 4 and point (-3, -4)

y-(-4) = 4(x - (-3))

Simplify

y + 4 = 4 (x+3)

Do the ratios 1/3 and 28/36 form a proportion?

No, they are not proportional!

**No, **the given two fractions/ratios do not form a proportion.

Two ratios are said to be forming proportions if and only if the **reduced forms** of fractions of the two ratios are the same or are equal to each other. For example - [tex]\frac{3}{6}[/tex] and [tex]\frac{1}{2}[/tex] are in proportion because [tex]\frac{3}{6}[/tex] when reduced to the simplest form gives [tex]\frac{1}{2}[/tex] which is the same as the other given ratio.

In the **given question**, one ratio given is [tex]\frac{1}{3}[/tex] and the other one is [tex]\frac{28}{36}[/tex]. Reducing the second ratio to the simplest form we get [tex]\frac{7}{9}[/tex]. Clearly, the two fractions are not equal. Hence, the given two ratios are not in proportion.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

**Answer: its D! not 8!!!**

**Step-by-step explanation:**

Which three lengths CAN be the lengths of the sides of a triangle? A. 12cm, 5cm, 17cm, B. 10cm, 15cm, 24cm C. 9cm, 22cm, 11cm D. 21cm, 7cm, 6cmWhich three lengths CAN be the lengths of the sides of a triangle? A. 12cm, 5cm, 17cm, B. 10cm, 15cm, 24cm C. 9cm, 22cm, 11cm D. 21cm, 7cm, 6cmWhich three lengths CAN be the lengths of the sides of a triangle? A. 12cm, 5cm, 17cm, B. 10cm, 15cm, 24cm C. 9cm, 22cm, 11cm D. 21cm, 7cm, 6cmWhich three lengths CAN be the lengths of the sides of a triangle? A. 12cm, 5cm, 17cm, B. 10cm, 15cm, 24cm C. 9cm, 22cm, 11cm D. 21cm, 7cm, 6cmWhich three lengths CAN be the lengths of the sides of a triangle? A. 12cm, 5cm, 17cm, B. 10cm, 15cm, 24cm C. 9cm, 22cm, 11cm D. 21cm, 7cm, 6cmWhich three lengths CAN be the lengths of the sides of a triangle? A. 12cm, 5cm, 17cm, B. 10cm, 15cm, 24cm C. 9cm, 22cm, 11cm D. 21cm, 7cm, 6cm

Based on the **Triangle Inequality Theorem** the possible **lengths** of the sides of a **triangle** are:

The **Triangle Inequality Theorem** which states that the sum of the lengths of any two sides of a triangle must be greater than the **length** of the third side, is used to determine if three lengths can be the lengths of the sides of a **triangle**.

Considering each option:

A. 12cm, 5cm, 17cm:

12 + 5 > 17 (not satisfied)

5 + 17 > 12 (satisfied)

12 + 17 > 5 (satisfied)

B. 10cm, 15cm, 24cm:

10 + 15 > 24 (satisfied)

15 + 24 > 10 (satisfied)

10 + 24 > 15 (satisfied)

C. 9cm, 22cm, 11cm:

9 + 22 > 11 (satisfied)

22 + 11 > 9 (satisfied)

9 + 11 > 22 (not satisfied)

D. 21cm, 7cm, 6cm:

21 + 7 > 6 (satisfied)

7 + 6 > 21 (not satisfied)

21 + 6 > 7 (satisfied)

Hence, option B and D are correct.

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WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!

The first figure is dilated to form the second figure.

Which statement is true?

(A) The scale factor is 0.8.

(B) The scale factor is 1.25.

(C) The scale factor is 2.0.

(D) The scale factor is 18.0.

To figure the scale factor, divide the given number of the larger shape by the original shape’s number.

Applying this, we will get 10/8, which is 0.8.

Applying this, we will get 10/8, which is 0.8.

Can somebody please help me thank tou

**Answer:**

**Step-by-step explanation: On the left side find the number that is able to make that sum true for that equation. on the right side you just subtract the answer with the number to get your answer.**

**Answer:**

**Step-by-step explanation:**

I Think this is the answer

On the left side find the number that is able to make that sum true for that equation. on the right side you just subtract the answer with the number to get your answer

What is the meaning of "formulas with free variables"?

**Formulas **with free variables are said to be expressions in formal logic that is known to have variables that are not bound by **quantifiers**.

**Variables **are placeholders with changeable values in logic. A free variable in a formula has no quantifier and can take any value.

Formula meaning varies with variable values. Formulas containing variables that are not assigned specific **values **are frequently employed to convey open statements or propositions that require further specification.

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In practice, we shall use in formulas other symbols, namely defined pred- icates, operations, and constants, and even use formulas informally; but it will be tacitly understood that each such formula can be written in a form that only involves and as nonlogical symbols.

Concerning formulas with free variables, we adopt the notational conven- tion that all free variables of a formula

(u1,..., Un)

are among u1, ..., un (possibly some u are not free, or even do not occur, in ). A formula without free variables is called a sentence.What is the meaning of "formulas with free variables"?

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

**Answer: is X = 5 within the diagram.**

What is the meaning of "we shall use in formulas other symbols, namely defined predicates, operations, and constants, and even use formulas informally"?

The **statement** indicates that in practical applications, it is common to extend the basic **logical language** with additional symbols and allow for some degree of informality in the representation of **formulas**, as long as it is clear that these additional symbols and formulas can be formalized in terms of the basic logical language.

The **statement** means that when working with formulas in a particular context or domain, it is common to introduce additional symbols beyond the basic logical symbols such as "E" (for existential quantification) and "∧" (for conjunction). These additional symbols can include defined predicates, operations, and constants.

**Defined predicates** refer to predicates or relations that are defined in terms of other predicates or relations. They can be used to express complex concepts or conditions in a concise manner. For example, in mathematics, one may define a predicate "Prime(x)" to represent the concept of a number being prime.

Operations refer to functions or operations that can be applied to terms or formulas. They allow for combining or manipulating expressions in a meaningful way. For instance, addition, multiplication, and exponentiation are common operations in mathematics.

Constants are symbols that represent specific, fixed values. They can be used to denote specific objects or elements within the domain of discourse. For example, in logic, "0" and "1" can be used as constants to represent the truth values "false" and "true," respectively.

Furthermore, the statement suggests that **formulas** may be used informally, meaning that they can be expressed or written in a less strict or precise manner. While the informal representation of formulas may be easier to understand or work with, it is understood that each of these formulas can be translated or reformulated in a way that only involves the basic logical symbols (such as "E" and "∧") and the specified nonlogical symbols (such as defined predicates, operations, and constants).

Overall, the statement acknowledges that in practical applications, it is common to extend the basic logical language with additional symbols and allow for some degree of informality in the representation of formulas, as long as it is clear that these additional symbols and formulas can be formalized in terms of the basic logical language.

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Write a quadratic equation whose roots are 5 + i radical 2 and 5 – i radical 2

____ x^2 + _____ x+ ______=0

The **quadratic equation** with roots 5 + i√2 and 5 - i√2 is:

x^2 - 10x + 27 = 0

To write a quadratic equation with roots 5 + i√2 and 5 - i√2, we can use the fact that **complex roots **occur in conjugate pairs. Therefore, the equation will have the form:

(x - root1)(x - root2) = 0

Substituting the given roots:

(x - (5 + i√2))(x - (5 - i√2)) = 0

Now, we expand the **equation**:

(x - 5 - i√2)(x - 5 + i√2) = 0

Using the difference of squares formula:

((x - 5)^2 - (i√2)^2) = 0

Simplifying the equation:

(x - 5)^2 + 2 = 0

**Expanding **the square:

x^2 - 10x + 25 + 2 = 0

Combining like terms:

x^2 - 10x + 27 = 0

Therefore, the quadratic equation with roots 5 + i√2 and 5 - i√2 is:

x^2 - 10x + 27 = 0

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What is the value of x in the systems:

5x + 2y = 3

2x + 3y = -1

**Answer:** The value of **x = 1 **and** y = -1**

**Step-by Step Explanation:**

We have 5x + 2y = 3 -----(i)

and 2x + 3y = -1 -----(ii)

By substitution method,

from (i), x = 3-2y/5

Putting the value of x in equation (ii),

we get, 2(3-2y/5) + 3y = -1

6 - 4y/5 + 3y =-1

6 - 4y + 15y = -5

6 - 11y = -5

-11y = -5 - 6

-11y = -11

**y = -1**

And, x = 3-2(-1)/5

x = 3+2/5

**x = 1**

Therefore, **x=1 **and **y=−1**

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john, a limited partner of candy apple, lp, is allocated $34,500 of ordinary business loss from the partnership. before the loss allocation, his tax basis is $24,500 and his at-risk amount is $14,500. john also has ordinary business income of $24,500 from sweet pea, lp, as a general partner and ordinary business income of $8,700 from red tomato as a limited partner. how much of the $34,500 loss from candy apple can john deduct currently?
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God helps those who help themselves. change voice
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