In how many ways can 8 people be seated in a row of chairs if three of the people, John, Wilma, and Paul, refuse to sit in three consecutive seats?

Answer:

[tex] \sf \: j= \frac{−8}{7}s+ \frac{445}{7} , \sf \: s= \frac{−7}{8}j+ \frac{445}{8} [/tex]

Step-by-step explanation:

[tex] \sf \: Let's solve for j. \\ \sf \: 7j+8s=445 \\ \sf \: Step 1: \: Add \: -8s \: to \: both \: s ides. \\ \sf \: 7j+8s+−8s=445+−8s \\ \sf \: 7j=−8s+445 \\ \sf \: Step \: 2: \: Divide \: both \: sides \: by \:7. \\ \sf \frac{7j}{7}= \frac{−8s+445}{7} \\ \sf \: j= \frac{−8}{7}s+ \frac{445}{7} \\[/tex]

The construction that uses the compass for only one step in addition to drawing the circle itself is A. an equilateral triangle inscribed in a circle.

It should be noted that a compass simply means a device that's used to show cardinal directions. It's also used in mathematics to draw shapes.

In this case, the construction that uses the compass for only one step in addition to drawing the circle itself is an equilateral triangle inscribed in a circle.

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Answer:

19/60 or .317

Step-by-step explanation:

C = 95/300

95/300 = 19/60

19/60 = .317

If the mean of the sample is 18.7, The 95% confidence interval for the population mean is 18.7 ± 11.6.

z-score for 95% confidence interval =1.96

Lower limit of the interval:

Lower limit=Sample mean-(Z-score×Margin of error)

Lower limit=18.7-(1.96×5.9)

Lower limit=18.7-11.564

Lower limit=18.7-11.6 (Approximately)

Upper limit of the interval:

Upper limit=Sample mean+(Z-score×Margin of error)

Upper  limit=18.7+(1.96×5.9)

Upper  limit=18.7+11.564

Upperr limit=18.7+11.6 (Approximately)

Hence:

Confidence interval= 18.7 ± 11.6

Therefore the 95% confidence interval for the population mean is 18.7 ± 11.6.

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Answer:

18.7 ± 11.6

Step-by-step explanation:

The answer above is correct.

Answer:

First you have to convert MG to G, 1 Gram is equal to 1,000 Milligrams.  If Julie has eaten a total of 9 Grams of fiber, she would need to eat 11 Grams more to get her recommended amount of Fiber

Step-by-step explanation:

1. Convert Mg to G

2. Add the amount of Grams she has already eaten.

3. Subtract the sum from twenty and multiply the difference by 1,000.

Answer:

A, B, D, E

Step-by-step explanation:

Every point is on the circle except for the middle one

The points lying on the circle will be (-4, 12), (-6, 6), and (4, 16). Then the correct options are A, B, and E.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The center is at (4, 6) and the radius is 10 units. Then the equation of the circle is calculated as,

(x - 4)² + (y - 6)² = 10²

(x - 4)² + (y - 6)² = 100             .......1

Substitute (-4, 12) in equation 1, then we have

(-4 - 4)² + (12 - 6)² = 100

100 = 100

Substitute (-6, 6) in equation 1, then we have

(-6 - 4)² + (6 - 6)² = 100

100 = 100

Substitute (13, 10) in equation 1, then we have

(13 - 4)² + (10 - 6)² = 100

97 ≠ 100

Substitute (-4, 12) in equation 1, then we have

(4 - 4)² + (16 - 6)² = 100

100 = 100

If the equation is satisfied, then the point lies on the circle.

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A=2πrh+2πr2

A≈34.18 if radius is .8

A≈256.35 if radius is 6

Answer:

Past the waves to the beach

Step-by-step explanation:

They never went past the breaking waves that much and started at the beach

Answer: 1 divided by 7

Step-by-step explanation: fraction bar is equal to division

Answer:

C or D but mostly D because the fraction is 1 into 7 and D is dividing 1 into 7 so if correct please consider brainliest

<3

Step-by-step explanation:

Liam's pumpkin will weigh more in week 10, and Patricia's pumpkin will weigh more in week 13. Then the correct option is C.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The table below shows the weights of Liam's pumpkin, l(w), and Patricia's pumpkin, p(w), over a four-week period which represents the number of weeks.

Liam's pumpkin grows at a constant rate.

Patricia's pumpkin grows at a weekly rate of approximately 52%.

Let x be the number of the week and y be the weight in pounds.

The equation of Liam's pumpkin will be

[tex]\rm y - 2.4 = \dfrac{5.5-2.4}{7-6} (x- 6)\\\\y - 2.4 = 3.1(x- 6)\\\\y = 3.1x - 16.2[/tex]

Then the weight of Liam's pumpkin after 10 weeks will be

y = 3.1 × 10 - 16.2

y = 31 - 16.2

y = 14.8

Then the weight of Liam's pumpkin after 10 weeks will be

y = 3.1 × 13 - 16.2

y = 40.3 - 16.2

y = 24.1

The equation of Patricia's pumpkin will be

[tex]\rm y = a\times (1.52)^{x}[/tex]

For x = 6 and y = 2.5

Then

[tex]\rm 2.5 = a \times 1.52^6\\\\a \ \ = 0.203[/tex]

We have

[tex]\rm y = 0.203 \times (1.52)^{x}[/tex]

Then the weight of Patricia's pumpkin after 10 weeks will be

[tex]\rm y = 0.203 \times (1.52)^{10}\\\\y = 13.36[/tex]

Then the weight of Patricia's pumpkin after 13 weeks will be

[tex]\rm y = 0.203 \times (1.52)^{13}\\\\y = 46.93[/tex]

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The answer to this question is 700 ML

Answer: An example is m³

Step-by-step explanation: Volume in a rectangular pool is length multiplied by width multiplied by height. Whatever the unit of these three parameters are, the volume will be raised to a cube. It it is metres, then volume will be m³

Answer:

a. square pyramid b. sphere d.triangular pyramid

Answer:   a= Square Pyramid, b= Sphere, d= Triangular Pyramid

Step-by-step explanation:

Answer:

y = 29

Step-by-step explanation:

y = (3x)2 + 17

y = (3(2))2 + 17

y = (6)2 + 17

y = 12 + 17

y = 29

Answer:

Math with letters

Step-by-step explanation:

Algebra is just like normal math but instead of you knowing all the numbers there are some numbers you dont know and those are replaced with letters. letters are there to you can replace them with any number, or if given the right problem you might have to find out what number replaces the letter to give you the right answer. for example take 1+x=2 here x would be replaced with 1 to make this true. or take y=2-x+3 if you replace x with any number you want that changes the (y) value to give you anything you want. Also the letters can be any letter you want they dont mean anything just there as place holders for numbers.

Answer:

5

Step-by-step explanation:

Repreical means opposite, so, 1/5 x 5 would equal one, thats a reciproal

Answer:

5

Step-by-step explanation:

The reciprocal of 1/5 would be 5. To find the reciprocal of a number, swap the numerator and the denominator.

Answer:

look at the attached image

Answer: 12 units

Step-by-step explanation:

    Since this is a "special" right triangle with congruent legs. We can multiply 6[tex]\sqrt{2}[/tex] by [tex]\sqrt{2}[/tex] to find the length of d.

   6[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = 12

         d = 12

Answer:

d = 12

Step-by-step explanation:

multiply 6√2 by √2

since they are congruent angles (angles that have equal measure).

Answer:

10%

Step-by-step explanation:

if she weight 125 and is 115 pounds now then the percentage would = 10% because 125 - 115 = 10%

Answer:

Below!

Step-by-step explanation:

Given square root:

[tex]\sqrt41[/tex]

Let's note a few perfect square roots.

[tex]1 = \sqrt{1 \times 1} = \sqrt{1}[/tex]

[tex]2 = \sqrt{2 \times 2} = \sqrt{4}[/tex]

[tex]3 = \sqrt{3 \times 3} =\sqrt{9}[/tex]

[tex]4 = \sqrt{4 \times 4} =\sqrt{16}[/tex]

[tex]5 = \sqrt{5 \times 5} =\sqrt{25}[/tex]

[tex]6 = \sqrt{6 \times 6} =\sqrt{36}[/tex]

[tex]7 = \sqrt{7 \times 7} =\sqrt{49}[/tex]

[tex]8 = \sqrt{8 \times 8} =\sqrt{64}[/tex]

And so on...

When looking at the perfect square roots we identified, we can say that:

[tex]\sqrt{36} < \sqrt{41} < \sqrt{49}[/tex]

Therefore,

[tex]6 < \sqrt{41} < 7[/tex]

We can conclude that [tex]\sqrt{41}[/tex] is between 6 and 7.

Let's check the squares of first 10 number

41 lies between 36 and 49

Hence

Answer:

6 ways she can choose a course

Answer:

M

Step-by-step explanation:

Option A M is answers

I hope it helped you

Answer:

5/16 mile

Step-by-step explanation:

5/8 * 1/2 = 5/16 mile

Answer:

10

Step-by-step explanation:

Based on the given parameters, the real value of the investment is $3675

From the question, the given parameters about the investment are:

Pretax return = $5,000

State tax rate = 4.5%

Federal tax rate = 22.0%

The real value of the investment is calculated using the following formula

Real investment value = Pretax return - [(Pretax return * State tax rate) * Pretax return * Federal tax rate)]

Substitute the given values in the above equation.

Real investment value = 5000 - [(5000 * 4.5%) + (5000 * 22.0%)]

Evaluate the products

Real investment value = 5000 - [225 + 1100]

Evaluate the sum in the above equation

Real investment value = 5000 - 1325

Evaluate the difference in the above equation

Real investment value = 3675

Hence, the real value of the investment is $3675

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Answer:3675

Step-by-step explanation:

Answer:

  3 cm

Step-by-step explanation:

The given relation between length and width can be used in the perimeter formula to find the width.

__

Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...

  P = 2(L +W) . . . . . perimeter formula

  20 = 2((w +4) +w) . . . . known values substituted

  10 = 2w +4 . . . . . . . . divide by 2, collect terms

  6 = 2w . . . . . . . . . subtract 4

  3 = w . . . . . . . . divide by 2

The width of the rectangle is 3 cm.

__

Additional comment

The length is 7 cm.

Answer:

38.4895

Step-by-step explanation:

area of circle = pi * r^2

3.142 * 7^2 = area of the whole circle

as we only have 1/4 of the circle we divide our area by 4

(3.142 *7^2) / 4 = 38.4895

Answer:

38.4895

Step-by-step explanation:

basically you are finding a quarter of the area of the circle. So the formula is 1/4πr^2

so that's 3.142×7^2 and then divided by 4.

hope this helps

Answer:

78.5 m²

Step-by-step explanation:

The formula to find the area of a quarter of a circle: [tex]\frac{1}{4} * \pi * r^{2}[/tex], where [tex]r[/tex] is the radius (diameter ÷ 2) and the [tex]\pi[/tex] is alterable.

1) Substitute the given values into the formula.

= [tex]\frac{1}{4} * 3.14 * 10^{2}[/tex]

2) Solve it.

= [tex]\frac{1}{4} * 314[/tex]

= 78.5

3) Round it off to the nearest tenth. In this case, it has already been rounded off.

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D

So, If ∠A = 20°, then So, also ∠C = 20°.

Therefore,

⠀

And, ∠A and ∠B are adjacent angles. We know,

So,

⇒ ∠A + ∠B = 180°

⇒ 20° + ∠B = 180°

⇒ ∠B = 180° – 20°

⇒ ∠B = 160°

So,

⠀

So, If ∠B = 160°, then So, also ∠D = 160°.

Therefore,