Problem 7) The model labelling p, q and p + q is given in the attached. The addition equation using integers that could represent p, q, and p + q are:
(-1) + 2 = 1
Problem 8) The model would change if p > q
What is the explanation for the above response?7) Addition equation is given as:
(-1) + 2) = 1
Where ;
p = -1
q = 2
Hence,
-1 + 2 = 1
8) The model in the equation above would change if p > q
That is
|p| > |q|
⇒ p > q
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Full Question:
Although part of your question is missing, you might be referring to this full question: See attached image.
Help please I got 5.76 I don’t know if that’s right
Evaluating the linear equation in x = 19 we can see that the temperature was 5.76 degrees, so your answer is correct.
How to predict the temperature?Here we have a linear equation that relates the wind temperature with the wind's velocity.
The linear equation is:
y = -0.36*x + 12.6
Where y is the temperature and x is the wind speed. We want to find the temperature when the speed is 19 miles per hour, to get it, just replace x by 19 in the linear equation above, then we will get:
y = -0.36*19 + 12.6
y = -6.84 + 12.6
y = 5.76
So your answer is correct.
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How many quarts of pure antifreeze must be added to 5 quarts of a 10 % antifreeze solution to obtain a 30 % antifreeze solution?
According to the solving this algebra approximately 1.43 quarts of pure antifreeze to the initial 5 quarts of 10% antifreeze solution to obtain a 30% antifreeze solution.
what is algebra?
Mathematical operations are applied to abstract symbols rather than concrete numbers in the field of algebra, which also includes other formal manipulations. The area of mathematics known as geometry is concerned with the qualities of the space that objects are in as well as the shape of the objects themselves.
According to the given information:
Let Q be the number of quarts of pure antifreeze to be added.
Let 0.10(5) be the amount of antifreeze in the initial 5 quarts of the 10% antifreeze solution, which is 0.5 quarts.
To obtain a 30% antifreeze solution, the amount of antifreeze in the final solution should be 0.3(5+Q) quarts.
Since we are only adding pure antifreeze, the amount of antifreeze in the final solution will be the sum of the antifreeze in the initial solution and the antifreeze we add:
0.5 + Q = 0.3(5+Q)
Now we can solve for Q:
0.5 + Q = 1.5 + 0.3Q
0.7Q = 1
Q = 1/0.7
Q ≈ 1.43
Therefore, we need to add approximately 1.43 quarts of pure antifreeze to the initial 5 quarts of 10% antifreeze solution to obtain a 30% antifreeze solution.
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I need help ASAP.I m really confused with it
If x ≠ 0 and y ≠ 0, which expression is equivalent to −4x−2 y−3 ? Responses A −4x2y3 − 4 x 2 y 3 B 14x2y3 1 4 x 2 y 3 C −4x2y3 − 4 x 2 y 3 D −4xy − 4 xy
Answer:The expression −4x−2y−3 can be written as −4/x^2y^3.
Multiplying both numerator and denominator by -1, we get 4/x^2y^3.
Hence, option A, −4x^2y^3, is equivalent to −4x−2y−3.
Step-by-step explanation:
18.A singer sells a single as a music download and CD, making a total profit of £246.64
She sells 456 CD singles, earning 35p for every single sold.
She earns 17p for each music download of the single.
How many music downloads did she sell?
The singer sold 512 music downloads.
What is equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. 2x - 5 and 13 are expressions in this case. These two expressions are joined together by the sign "=".
Let's use the following variables:
CD = the number of CD singles sold
DL = the number of music downloads sold
From the problem, we know the following:
CD + DL = total number of singles sold
CD = 456
The profit from selling CD singles is 35p = £0.35 per CD single
The profit from selling music downloads is 17p = £0.17 per music download
The total profit is £246.64
Using the information above, we can set up two equations based on the profits earned from selling CD singles and music downloads:
0.35 * CD = profit from CD sales
0.17 * DL = profit from download sales
And we know that the sum of these two profits equals the total profit:
0.35 * CD + 0.17 * DL = 246.64
Substituting CD = 456, we get:
0.35 * 456 + 0.17 * DL = 246.64
Simplifying this equation, we get:
159.6 + 0.17 * DL = 246.64
0.17 * DL = 87.04
DL = 512
Therefore, the singer sold 512 music downloads.
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the opposite of the oppsite of 28,or (-28),is equivalent to which of the following
0
-28
28
The opposite of the oppsite of 28,or (-28), is equivalent to the option (c) 28
How to determine the equivalent expressionThe opposite of a number is the number with the opposite sign.
For example, the opposite of 28 is -28, and the opposite of -28 is 28.
So, the opposite of the opposite of 28, or (-28), is the opposite of -28, which is 28.
This means that the answer is (c) 28.
To explain it further, think of the number line. 28 is a positive number, so its opposite is a negative number, which is -28.
Now, the opposite of -28 is a positive number, which is 28. So, the opposite of the opposite of 28 is 28.
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One angle in an isosceles triangle has a measure of 20
. Find the measure of all other angles in the triangle. List all possible values for these angles. Do not enter the degree sign, just numbers.
Answer:
the possible answers are 80 and 140
Step-by-step explanation:
since one angle has a measure of 20 in isosceles triangle let this be vertex angle and other two as base angles then
in isosceles triangle base angles must be equal to each other so
x+x+20 = 180
2x+20 = 180
2x = 160
x=80
so the base angles are equal to 80
now if you suppose 20 as base angle then other base angle should also be 20 since it is an isosceles triangle and the vertex angle can be calculated as
20+20 + x = 180
x = 140
Do you guys know the answer to this please help?
Answer:37
Step-by-step explanation:
<UYW=<UYV+<VYW=36+2x=110
2x=110-36=74
x=74/2=37
what is a prime number
Answer: A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, a prime number is a number that is only divisible by 1 and itself.
Step-by-step explanation:
For example, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and so on, are prime numbers because they can only be divided by 1 and themselves without any remainder.
However, 4 is not a prime number because it can be divided by 1, 2, and 4, and 6 is not a prime number because it can be divided by 1, 2, 3, and 6.
Answer:
A prime number is a number that can be multiplied by one and itself~
eg- 2,3,5,7,11
Let me know if this helps
Alia has 36 1/4 inches shares of silver chain to make some braces if she needs 7 1/4 inches of the chain to make one bracelet how many bracelets can Alia
make
Answer:
To find the number of bracelets Alia can make, we need to divide the total length of the silver chain she has by the length of each bracelet.
Total length of silver chain = 36 1/4 inches
Length of each bracelet = 7 1/4 inches
To divide fractions, we need to invert the second fraction and multiply:
(36 1/4) ÷ (7 1/4) = (145/4) ÷ (29/4) = (145/4) x (4/29) = 5
Therefore, Alia can make 5 bracelets with the given amount of silver chain.
Answer:
5 bracelets
Step-by-step explanation:
Given Information:
Amount of chain needed for 1 bracelet: 7 1/4 inchesTotal chain length: 36 1/4 inchesClearly, the number of bracelets possible (say x) multiplied by the amount of chain required for 1 bracelet will result in the total chain length (36 1/4).
⇒ 7 1/4 × x = 36 1/4Now, we can divide 7 1/4 on both sides to find value of x (total bracelets).
⇒ (7 1/4 × x)/(7 1/4) = (36 1/4)/(7 1/4)⇒ x = (36 1/4)/(7 1/4) = 5Therefore, Alia can make 5 bracelets.
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there are 250 n each has a mass of 5.2x10 to the negative 3 power kilograms.What is the total mass in kilograms in decimal form
Answer:
the total mass of the 250 objects is 1.3 kilograms.
Step-by-step explanation:
To find the total mass of the 250 objects, we need to multiply the mass of each object by the number of objects:
Total mass = mass per object x number of objects
The mass per object is given as 5.2x10^-3 kg, and the number of objects is 250. So, we can calculate the total mass as follows:
Total mass = 5.2x10^-3 kg x 250
Total mass = 1.3 kg
Calculate the area of a square with sides of 5 inches. a. 20 inches b. 20 square inches c. 25 inches d. 25 square inches
Answer: d. 25 square inches
Step-by-step explanation:
15. MULTIPLE CHOICE Determine which statement is true given that CBX = SML.
The statement that is true, given that ΔCBX ≅ ΔSML, would be G. XC ≅ ML.
How to find the true statement on congruent triangles ?Given that ΔCBX ≅ ΔSML, we can use the properties of congruent triangles to determine which statement is true. The correspondence between the vertices of the two triangles is as follows:
C ↔ S
B ↔ M
X ↔ L
XC ≅ ML is true because XC corresponds to the side connecting vertices X and C in ΔCBX, and ML corresponds to the side connecting vertices M and L in ΔSML. Since the triangles are congruent, their corresponding sides are congruent.
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Only answer this is your good at math. I don’t want to see some random kid answering this and get the answer wrong without explanation.
Question: You open a bank with a simple interest of 1.95% and your principal / p have been laying there for 30 whole years. After 30 years, you see that there is $800 in your brand account. What was the interest and what was the principal?
The Formula is I=P*R*T
interest, principal, rate, and time
Answer: To solve this problem, we can use the formula for simple interest:
I = P * r * t
where I is the interest earned, P is the principal, r is the interest rate as a decimal, and t is the time in years.
We are given that the interest rate is 1.95% = 0.0195, the time is 30 years, and the final amount in the account is $800. Let P be the principal we are trying to find.
First, we can use the formula to find the total interest earned over the 30-year period:
I = P * r * t
I = P * 0.0195 * 30
I = 0.585P
Next, we can use the fact that the final amount in the account is the sum of the principal and the interest:
800 = P + 0.585P
800 = 1.585P
P = 504.71
Therefore, the principal was $504.71 and the interest earned over the 30-year period was:
I = 0.585P
I = 0.585 * 504.71
I = 294.29
So the interest earned was $294.29.
Step-by-step explanation:
Question 7 of 10
AFGH is a right triangle.
9
6
G
√45
H
A. True
OB. False
Yes, it is true that Triangle FGH is a right triangle.
How can this be determined?We check whether the Pythagorean theorem holds true for these sides to determine if this triangle is a right triangle. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the right triangle's legs.
a² + b² = c²
If this is a right triangle, the hypotenuse will be the longest side, and the other two sides will be the legs. We have these when we incorporate the Pythagorean theorem.
6²+(√45)² = 9²
36+45 = 81
which implies that right triangle because the assertion is true.
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Solve for x.
x + 5
30
36
20
The scatterplot of the data below models what type of correlation?
Answer:
asdfasdfasdf
Step-by-step explanation:
asdf
What is the volume of this cone?
The volume of the cone is 2119. 5 cubic centimeters
How to determine the volume of the coneThe formula used for calculating the volume of a cone is expressed as;
V = πr² h/3
Given that the parameters are namely;
V is the volume of the cone.π takes the constant value of 3.14h is the height of the cone.r is the radius of the cone.Now, substitute the values, we have;
Volume , V = 3.14 × 15² × 9/3
Divide the values, we have;
Volume = 3.14 × 225 × 3
Multiply the values, we get;
Volume, V = 2119. 5 cubic centimeters
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If f(x)= 4x/x-3
then determine the value of f^-1 (inverse) (16) Explain or show how you arrived at your answer.
Answer:32+ 1.21
Step-by-step explanation:
if you really want an awser you would take all the nubers and sfhgkjfqipjghwpkrejvhbwptijgbqkejnvwpigtnjuvrepiufgnjwrekjbhartio
PLEASE HELP Area of Cross Sections
Answer:
396 in²
Step-by-step explanation:
To answer this question we need to use pythagorean theorem (a² + b² = c²)
In our case, a would be 14 and b would be 17
14² + 17² = ?²196 + 289 = 485[tex]\sqrt{485}[/tex] = 22.02Now we have to multiply this by 18
22.02 x 18 = 396.36Which rounded would be 396
Hope this helps, have a lovely day! :)
Suppose 50 rabbits are on Groff Farm… TRIPLING every SIX MONTHS…
How many rabbits after 5 years?
Find the foci of the hyperbola 4y2-x2=16
The foci of the hyperbola is (0,2[tex]\sqrt5[/tex]) and ([tex]0,-2\sqrt5)[/tex].
What is foci of the hyperbola?The two fixed points that are located inside each curve of a hyperbola are known as its foci, and they are important for the formal description of the curve.
Here the given equation of the hyperbola is [tex]4y^2-x^2=16[/tex] .
Now writing the given equation into standard form then,
=> [tex]4y^2-x^2=16[/tex]
=> [tex]-x^2+4y^2=16\\[/tex]
=> [tex]\frac{-x^2}{4}+\frac{4y^2}{4}=\frac{16}{4}[/tex]
=> [tex]\frac{-x^2}{4}+y^2=4[/tex]
=> [tex]\frac{-x^2}{4\times4}+\frac{y^2}{4}=1[/tex]
=> [tex]\frac{-x^2}{16}+\frac{y^2}{4}=1[/tex]
Here we know that [tex]\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1[/tex] then a=2 and b=4 , (h , k)=(0,0)
Then c=[tex]\sqrt{a^2+b^2}=\sqrt{2^2+4^2}=\sqrt{4+16}=\sqrt{20}=2\sqrt{5}[/tex].
Then foci is (0,0+c) and (0,0-c) then,
=> (0,2[tex]\sqrt5[/tex]) and ([tex]0,-2\sqrt5)[/tex]
Hence the foci of the hyperbola is (0,2[tex]\sqrt5[/tex]) and ([tex]0,-2\sqrt5)[/tex].
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What is the product of 2.5 and 7.08?
Show your work.
Consider the following function.
f(x) = −2x^3 − 6x^2 + 5
(a) Use the Intermediate Value Theorem and a graphing utility to find graphically any intervals of length 1 in which the polynomial function is guaranteed to have a zero. Verify your answers by using the table feature of the graphing utility. (Select all that apply.)
(−4, −3)
(−3, −2)
(−2, −1)
(−1, 0)
(0, 1)
(1, 2)
(2, 3)
(3, 4)
(b) Use the zero or root feature of the graphing utility to approximate the real zeros of the function. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
x =
, in the presented question, we can conclude that Interval [tex](0, 1): f(0) 5, f(1) -3[/tex], indicating that the function switches signs and has a zero in the interval [tex](0, 1).[/tex]
What are polynomials?Interval [tex](4, 3): f(-4) -41, f(-3) 5,[/tex]therefore, the function reverses its sign and has a zero in the interval [tex](-4, -3).[/tex]
Interval [tex](3, 2): f(-3) 5, f(-2) -9,[/tex] indicating that the function changes sign and has a zero in the interval [tex](-3, -2).[/tex]
Interval [tex](2, 1): f(-2) -9, f(-1) 1[/tex], therefore the function reverses its sign and has a zero in the interval [tex](-€2, -1).[/tex]
Interval [tex](1, 0): f(-1) 1, f(0) 5[/tex], so the function does not change sign and the interval may or may not contain a zero [tex](-1, 0).[/tex]
Interval [tex](0, 1): f(0) 5, f(1) -3,[/tex] indicating that the function switches signs and has a zero in the interval [tex](0, 1).[/tex]
Therefore, in the presented question, we can conclude that Interval [tex](0, 1): f(0) 5, f(1) -3[/tex], indicating that the function switches signs and has a zero in the interval [tex](0, 1).[/tex]
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Which of these points are 5 units away from (-6, -3)? Select all that apply.
(-3, -7)
(-2,-7)
(-2, 0)
(-9, -1)
Answer:(-3, -7)
Step-by-step explanation: (7-3,-) look the middle is (3,-6) and instead on 7 is 6 bec in 7-
the length of a rectangle is represented by 4x + 1 and the width by 2x^2 - 3. Determine the area of the rectangle as a simplified expression in standard form
Hence, the simplified expression for the area of a rectangle in standard form is 8x³ + 2x² - 12x - 3.
In maths, what is a rectangle?Having four sides, four corners, & four right angles (90°), a rectangle is an enclosed 2-D shape. A rectangle has four equal and parallel opposite sides. Having length and width as its two dimensions, a rectangle is a two-dimensional form. The length and breadth of a rectangle are determined by its longer and shorter sides, respectively.
The equation A = length x width determines the area of a rectangle. When we replace the provided length and width expressions, we obtain:
A = (4x + 1) (2x² - 3)
By combining like terms and the distribution property of multiplication, we may make this expression simpler:
A = 8x³ - 12x + 2x² - 3
A = 8x³ + 2x² - 12x - 3
So, the area of the rectangle as a simplified expression in standard form is 8x³ + 2x² - 12x - 3.
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type an equation for the following pattern x12345 y-2 -4 -6 -8 -10
Answer: y = -2 - 2 * (x - 1).
Step-by-step explanation: The pattern is a linear function with a slope of -2 and an intercept of -2. The slope of a line is the change in y over the change in x. In this case, the change in y is -2 and the change in x is 1. Therefore, the slope is -2/1 = -2. The intercept is where the line crosses the y-axis, which is at y = -2 when x = 1. Therefore, the equation of the line is y = mx + b where m is the slope and b is the intercept. Substituting m = -2 and b = -2 gives us y = -2 - 2 * (x - 1).
Hope this helps, and have a great day!
CUAL ES EL CONJUNTO DE SOLUCIONES DE LA ECUACION X^2+3X-4=6
The solution set of the equation x^2+3x-4=6 is {-5, 2}.
The answer of the given question are as follows :-
Para encontrar el conjunto de soluciones de la ecuación x^2+3x-4=6, debemos primero llevarla a su forma canónica. Restando 6 de ambos lados, obtenemos:
x^2+3x-10=0
Luego, podemos resolver esta ecuación utilizando la fórmula cuadrática:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
donde a = 1, b = 3, y c = -10.
Reemplazando estos valores, obtenemos:
x = (-3 ± sqrt(3^2 - 4(1)(-10))) / 2(1)
x = (-3 ± sqrt(49)) / 2
x = (-3 ± 7) / 2
x1 = 2
x2 = -5
Por lo tanto, el conjunto de soluciones de la ecuación x^2+3x-4=6 es {-5, 2}.
Translation in english :-
To find the solution set of the equation x^2+3x-4=6, we must first bring it to its standard form. Subtracting 6 from both sides, we get:
x^2+3x-10=0
Then, we can solve this equation using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 3, and c = -10.
Substituting these values, we get:
x = (-3 ± sqrt(3^2 - 4(1)(-10))) / 2(1)
x = (-3 ± sqrt(49)) / 2
x = (-3 ± 7) / 2
x1 = 2
x2 = -5
Therefore, the solution set of the equation x^2+3x-4=6 is {-5, 2}.
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Para prepara un pastel Anita tenía un paquete de harina de 1 1/3 si solo uso 3/6 kg del paquete que cantidad de harina le sobró
Para preparar un pastel, Anita tenía un paquete de harina de 1 1/3 kg: 0.83 kg
Primero, debemos convertir 1 1/3 kg a una fracción común. 1 1/3 kg es igual a 4/3 kg o 1.33 kg. Luego, podemos simplificar 3/6 a 1/2.
Ahora podemos restar 1/2 de 1.33 kg para encontrar la cantidad de harina que sobró.
1.33 kg - 1/2 kg = 1.33 kg - 0.5 kg = 0.83 kg
Entonces, Anita le sobró aproximadamente 0.83 kg de harina después de preparar su pastel.
Es importante recordar que la medición y las cantidades de los ingredientes son cruciales al preparar cualquier receta de cocina. Es importante seguir las instrucciones cuidadosamente para obtener resultados exitosos en la cocina.
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i need help with my geometry work please . giving 45 points !!!