At a school 159 students play at least one sport this is 60% of the students how many students are at the school !I need it fasttt!

Answer:

The answer is A because sixteen divide by two equals eight also two is common

Answer: 81

Step-by-step explanation:

\(v=\sqrt{2gh}\\\\g=32, v=72\\\\\implies 72=\sqrt{2(32)h}\\\\5184=64h\\\\h=81\)

Answer: 3, 8, 13, 18, 23, etc...

Step-by-step explanation:

To get a remainder of 3 upon dividing by 5, we must get multiples of 5 then add 3 to each. So, we start with 0+3=3, then 5+3=8, 10+3=13, etc... So, we end up with the sequence 3, 8, 13, 18, 23... notice how each term is 5 more than the previous.

Answer:

48 and 32

Step-by-step explanation:

both numbers get rounded by 8 going up and down rounding it to 40

Answer:

14 ft

Step-by-step explanation:

area = length * width

140 sq ft = 10 ft * width

width = (140 sq ft)/(10 ft)

width = 14 ft

Answer:

Step-by-step explanation:

We all know that the volume of a cube can be shown as:

V=s^3

now the volume of nine cubes is:

V=9*s^3

now, we know that the edge length is 0.5 ft, thus, lets find the volume of the figure:

V=9*s^3

V=9*0.5^3

V=9*0.125

V=1.125

Hence, the answer is 1.125 ft^3

The volume of the given figure is 1.125 cubic feet.

The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.

Given that, a figure is built out of 9 cubes as shown the edge length of each cube is 1/2 foot.

Volume of one cube = (1/2)³

= 1/8

= 0.125 cubic feet

Volume of 9 cubes = 9×0.125

= 1.125 cubic feet

Therefore, the volume of the given figure is 1.125 cubic feet.

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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For 63 ounces of sugar, we use 27 ounces of flour.

Here it is given that, a recipe called for the ratio of sugar to flour to be

7 : 3

If we used 63 ounces of sugar, then how many ounces of flour would you need to use for that amount?

To solve this we use the Product of means and the product of extremes case.

We get;

7 : 3 = 63 : x

By applying the product of means and the product of extremes,

7x = 63*3

x = 189/7

x = 27

For 63 ounces of sugar, we use 27 ounces of flour.

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Answer:

25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Okay so as you can see there is an x shape and whenever you have that it means they are verticle angles. So we can conclude that 25 is verticle to x and so x is equal to 25.

The true statements are:

The function is given as D(x) = 2x

The function D(x) is a linear function, and it is also a proportional function

Proportional functions represent direct variation

This means that (b) and (e) are true

Also set x = 5, 6 and -2

So, we have the following equations

D(5) = 2 x 5 = 10

D(6) = 2 x 6 = 12

D(-2) = 2 x -2 = -4

This means that (a) is true

Lastly, the function D(x) is dependent on x for its value

This means that x is the dependent variable.

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Answer:

5

Step-by-step explanation:

Answer:

-x² + 8x - 7

Step-by-step explanation:

Step 1: Write expression

(7 - x)(x - 1)

Step 2: FOIL (First Outside Inside Last)

7x - 7 - x² + x

Step 3: Combine like terms

-x² + 8x - 7

Answer:

-x^2 + 8x - 7

Step-by-step explanation:

(7 - x)(x - 1)

(7 * x) + (7 * -1) + (-x * x) + (-x * -1)

7x - 7 - x^2 + x

8x - 7 - x^2

-x^2 + 8x - 7

Best of Luck!

Answer:

3rd and last option

Step-by-step explanation:

it the temperature rises and falls during the day, the graph would look squiggly

the path of a baseball is a curve not a straight line

55mph is a consistent measure, they will travel exactly 55 mph

if the child grew 2 inches this year and 1 last year the graph would look like a j curve

The movie director makes exactly 2 movies a year consistently

Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

Answer: 0+10i

Step-by-step explanation:

\(\sqrt{-100}=\sqrt{100}\sqrt{-1}=10i=\boxed{0}+\boxed{10}i\)

The position vector r (with components x1, x2, x3) and any vector v can be expressed as r = x1*i + x2*j + x3*k and v = a*i + b*j + c*k, respectively.

The dot product of two vectors is defined as the sum of the products of their corresponding components. Therefore, the dot product of r and v can be calculated as:

r · v = (x1*i + x2*j + x3*k) · (a*i + b*j + c*k)

     = (x1*a) + (x2*b) + (x3*c)

Here, we multiplied the corresponding components and summed them up. The dot product represents the scalar projection of one vector onto the other, which indicates the magnitude of one vector in the direction of the other.

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Answer:

there ya go

Step-by-step explanation:

In this scenario, the appropriate inference procedure would be the two-sample t-test for the difference between means.

Based on the given information, you would use a "two-sample t-test for the difference between two means" to estimate the difference in the average amount of TV watched by high school and college students. This procedure is suitable because you have separate random samples from two distinct groups and you're comparing their means.

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The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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Answer:

\(9\)

Step-by-step explanation:

1) Cancle x².

\(4 \times \frac{9}{4} \)

2) Cancle 4.

\(9\)

Therefor, the answer is 9.

Answer:

Step-by-step explanation:

\(\frac{4(9x^2)}{4x^2}\\ \\ \frac{36x^2}{4x^2}\\ \\ \text{Divide the numerator and denominator by }4x^2\\ \\ 9\)

When determining the cell density of a sample by the standard plate count method, the final density of cells is reported as colony forming units "(CFUs) per milliliter of sample."

This method involves diluting the sample and spreading it onto a solid agar medium, allowing the bacteria to grow and form visible colonies.

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The five friends should pay $21.54 for the meal plus a 20% tip.

Your question seems incomplete; it might be:

Five friends plan to split a restaurant bill evenly. The cost of the meal is about $89.75, and they want to leave a 20% tip. What amount should each friend pay?

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If we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.01, reject H₀ in favor of H₁. The correct answer is (a)

If the confidence interval for the population mean does not contain the hypothesized value in the null hypothesis, then we can reject the null hypothesis in favor of the alternative hypothesis.

In this case, the confidence interval is centered around 10.15, and it does not contain the hypothesized value of 16. Therefore, we can conclude that we have evidence to reject the null hypothesis at a significance level of 0.01 and accept the alternative hypothesis that the population mean is not equal to 16.

It is important to note that this decision is based on the confidence interval and significance level given in the question. If the confidence level or significance level were different, the decision might be different as well.

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The coordinates of the recycle bin will be = ( -1, 2.5 )

According to the information given in the question,

The coordinates of the vertices of the park are,

( 1, 1 ), ( 1, 4 ), and ( -3, 4 )

We have to find the coordinates of the recycle bin.

Let us consider the equation of the circle,

\(x^{2} +y^{2}+Dx + Ey+ F =0\)

So putting the values of the coordinates into the equation,

First Equation,

\(1^{2}+1^{2} + D + E + F = 0\)

Second Equation,

\(1^{2} +4^{2} +D + 4E + F=0\)

Third Equation,

\((-3)^{2} + 4^{2} - 3D+4E+F=0\)

Subtracting the first equation from the second,

\(1^{2} +4^{2} +D + 4E -E=0\)

15 + 3E = 0

3E = -15

E = -5

Subtracting the third equation from the second,

1 + 16 - 9 - 16 + D + 3D = 0

4D = 8

D = 2

Putting the values of E and D in the first equation,

1 + 1 + D + E + F = 0

F = -2 - D - E

F = 1

So now the equation of the circle becomes,

\(x^{2} +y^{2}+2x - 5y+ 1 =0\)

By expanding the above equation we can find the standard equation,

\(x+2x+1^{2} +y^{2} -5y+ 2.5^{2}- 1^{2} -2.5^{2} +1 =0\)

\((x+1)^{2} + (y - 2.5)^{2} = 1^{2} + 2.5^{2} -1\)

\((x+1)^{2} + (y - 2.5)^{2} = 2.5^{2}\)

So the required circumcenter will be = ( -1, 2.5 )

Therefore, the coordinates of the recycle bin will be = ( -1, 2.5 )

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A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1,4), and (-3,4). The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins?

Answer:

b.complementary angles

d.adjacent angles

The number of roots of the equation 1/x = x² + 1 is given as follows:

One.

The number of solutions of the system of equations is given by the number of times which the two functions intersect.

When the two functions intersect, we have that:

1/x = x² + 1

Hence:

1/x  - (x² + 1) = 0.

Which is the number of roots of the equation.

From the graph, the two functions intersect at one point, hence the number of roots is of one.

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Answer:

We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides. to see whether you are correct.

Answer:

There will be 3 full 4.2-yd pieces plus a 2.02-yd leftover piece.

Step-by-step explanation:

Divide 14.62 yd by 4.2.  Determine the remainder as a decimal fraction:

14.62 yd

------------- = 3 full 4.2 yd pieces, plus 0.5 piece left over.

4.2 yd

Note that "0.5 piece" would be 0.48(4.2) yds long, or 2.02 yds.

Then you'd have three pieces of length 4.2 yds and 1 leftover piece of length 2.02 yd.

Step-by-step explanation:

7x-8y = - 5     arrange to   y = mx+ b  form    m is the slope of this line

8y = 7x+5

y = 7/8 x = 5/8     <======   m, slope = 7/8  

           perpendicular slope =  - 1/m  =  - 8/7

Now use point ( -7,3)   slope (-8/7)  form:

  y-3   = - 8/7 ( x - - 7)     simplify

   y = -8/7 x  + 5          re-arrange ,   add  8/7 x to both sides of the equation

   8/7 x  + y = 5                 multiply through by 7 to get integer values

      8x + 7y =  - 35