there are 23 boys and 35 girls on the school track and field team. After q boys and (q+4) girls graduate qt the end of the year, the probability of selecting a boy at random to represent the school for an event becomes 2/5. find the value of q

Answer:

[tex](8m - 2)^{2}[/tex]

Step-by-step explanation:

Answer:

(8m -2) ^2

Step-by-step explanation:

64 m^2 - 32m +4

Recognizing that this is a perfect square trinomial (a^2 - 2ab + b^2) = (a-b)^2

(8m)^2 -2*8m*2 +2^2 = (8m -2) ^2

Answer:

4/5 book per hour

Step-by-step explanation:

In this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do

is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

Step-by-step explanation:

4/5 books/hour

Answer:

B

Step-by-step explanation:

the mixmum area y-axis also know in this graph as area then we go to the left hand side we see the mixmum point of the x-axis also know in this graph as width

the greater the area the greater the width

Answer:

12

Step-by-step explanation:

[tex]no \: of \: side \: of \: polygon \\ = \frac{360 \degree}{ measure \: of \: exterior \: angle} \\ \\ = \frac{360 \degree}{ 30 \degree} \\ \\ = 12[/tex]

Answer:

1/8 meters

Step-by-step explanation:

The volume of a cube is given as the cube of the length of its sides. That is:

[tex]V = L^3[/tex]

where L = length of its side

The volume of the cube is 1/512 cubic metres.

This implies that:

[tex]\frac{1}{512} = L^3[/tex]

Find the cube root of both sides:

[tex]\sqrt[3]{\frac{1}{512} } = L\\\\=> L = \frac{1}{8}[/tex] meters

The cube has sides of length 1/8 meters

Answer:

[tex]4,080grams[/tex]

Step-by-step explanation:

the formula for density is:

[tex]d=\frac{m}{V}[/tex]

where d is density, m is mass, and V is volume.

solving for m in the last equation:

[tex]m=d*V[/tex]

so if we find the volume and multiply it by the density [tex]d=8.3gr/cm^3[/tex]  we will get the mass of the object.

The volume of a rectangular prism is given by:

[tex]V=l*w*h[/tex]

where [tex]l[/tex] is length, [tex]w[/tex] is width and [tex]h[/tex] is height:

[tex]l=5in\\w=3in\\h=2in[/tex]

we substitute to find the volume:

[tex]V=5in*3in*2in\\V=30in^3[/tex]

since the density has units of [tex]cm^3[/tex] we need the volume also in units of [tex]cm^3[/tex] , so we make the conversion using:

[tex]1in^3=16.3871cm^3[/tex]

multiplying by 30:

[tex]30in^3=491.612cm^3[/tex]

and now we find the mass with the equation:

[tex]m=d*V[/tex]

substituting d and V:

[tex]m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr[/tex]

the nearest gram is: [tex]4,080grams[/tex]

Answer:

15.5 feet

Step-by-step explanation:

Find attached to this answer the appropriate diagram.

We would be using the Pythagoras Theorem to solve this question

The formula is given as:

a² + b² = c²

Where a = opposite side

b  = adjacent side

c = hypotenuse

From the question,

a = opposite side =  unknown

b  = adjacent side = 7 feet

c = hypotenuse = 17 feet

We are to find the opposite side

Using the formula

a² + b² = c²

a² = c² - b²

a² = 17 feet² - 7 feet ²

a² = 289 feet² - 49 feet²

a² = 240 feet²

a = √240 feet²

a = 15.491933385 feet

Approximately 15.5 feet

Therefore, the kite is 15.5 feet high up in the tree.

Answer:

x ≤ 3

Step-by-step explanation:

The equation of the solid line is x = 3

The shaded region to the left of x = 3 is less than 3 , thus

x ≤ 3 matches the graph

Answer:

b. y1 = –x2 + 10

d. y2 = log (x + 1)

Step-by-step explanation:

edge 2023

Answer:

b,d and d for the second question

Step-by-step explanation:

Answer:

273

Step-by-step explanation:

CD(3):DVD(5)

3+5=8

728 divided by 8= 91

3x91=273

Answer:

273

Step-by-step explanation:

CDs to DVDs is 3:5

[tex]\frac{728}{3+5}[/tex]

[tex]\frac{728}{8}=91[/tex]

[tex]3 \times 91: 5 \times 91[/tex]

[tex]273:455[/tex]

273 CDs were sold.

Answer:

160

Step-by-step explanation:

We can divide 96 by 6 to find that Isaac types at 16 words per minute

16*10=160

The graph that most resembles y=3^x is Graph B

Answer:

I think graph B

Step-by-step explanation:

It makes more sense

Answer:

107

Step-by-step explanation:

got it right... your welcome

Answer:

107

i took the review and examStep-by-step explanation:

Answer:

yes thats correct

Step-by-step explanation:

Answer:

14.79

Step-by-step explanation:

Take the price of the dishes and multiply by the tax rate

232 * 6 3/8%

Change to decimal form

232 * .06375

14.79

The tax is 14.79

Answer:

I think D but I'm not sure about that

Answer:

D

Step-by-step explanation:

Answer:

94.2 cm³

Step-by-step explanation:

The volume of a cone is

1/3 x h x π x r²

Plug in the values!

1/3 x 10 x 3.14 x 3²

1/3 x 10 x 3.14 x 9

3 x 10 x 3.14

30 x 3.14

94.2 cm³

Answer:

V =94.2 cm^3

Step-by-step explanation:

The volume of a cone is

V = 1/3 pi r^2 h

The radius is 3 and the height is 10

V = 1/3 ( 3.14) 3^2 * 10

V = 1/3 (3.14) *9(10)

V =94.2 cm^3

Answer:

  x-axis from -20 to 5; y-axis from -80 to 80

Step-by-step explanation:

The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...

  x: -20 to 5

  y: -80 to 80 . . . . . choice A

x-axis from -20 to 5; y-axis from -80 to 80

Step-by-step explanation:

The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...

 x: -20 to 5

 y: -80 to 80 . . . . . choice A

Answer:

I am not sure but still according to me, its 3×5. 3X5 can be the correct answer.

Answer:

The answer is A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]3x^2-x+7=0[/tex]

Using the quadratic formula:

[tex]x=\dfrac{1\pm \sqrt{1-84}}{6}=\dfrac{1\pmi\sqrt{83}}{6}[/tex]

Therefore, the correct answer is A. Hope this helps!

Answer:

Let's solve your equation

[tex]x^2+13=8x+37[/tex]

Step 1: Subtract 8x+37 from both sides.

[tex]x^2+13-(8x+37)=8x+37-(8x+37)[/tex]

[tex]x^2-8x-24=0[/tex]

For this equation: a= 1, b= -8, c= -24

Step 2: Use quadratic formula with a=1, b=-8, c=-24.

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-8)+\sqrt{(-8)^2-4(1)(-24)} }{2(1)}[/tex]

[tex]x=\frac{8+\sqrt{160} }{2}[/tex]

[tex]x=4+2\sqrt{10}[/tex]   or  [tex]x=4-2\sqrt{10}[/tex]       This is the answer

So,the correct option is C

I hope this help :)

Answer:

The height is 20

The max profit is 1600

Step-by-step explanation:

P (h) = -4h^2 + 160h

The vertex is at

-b/2a = -160/2(-4) = 160/8 = 20

The height that will give the maximum profit is 20

We want to find the value at 20

P(40)  =-4(20)^2 +160(20)

          =-1600+3200

             1600

Answer:

6.235

Step-by-step explanation:

c²=a²+b² (pythagorean theory)

7²=-3²+b²

49=9+b²

(49-9). 40=b² (find the square root of 40 to obtain the value of b)

Answer:

[tex]y = - 3[/tex]

[tex]y = - 6 + 3 \\ y = - 3[/tex]

Answer:

Step-by-step explanation:

a=8

b=41

c=39

sorry if im too late

Answer: 3/5

Step-by-step explanation: thats your answer.

Answer:

[tex]t = 1[/tex]

Step-by-step explanation:

[tex]16 - 2t = 5t + 9 \\ 16 - 9 = 2t + 5t \\ 7 = 7t \\ \frac{7}{7} = \frac{7t}{7} \\ t = 1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]t=1[/tex]

Step-by-step explanation:

[tex]16-2t=5t+9[/tex]

[tex](+16)+(-2t)=(+5t)+(9)[/tex]

Add [tex]-16[/tex] and [tex]-5t[/tex] on both sides.

[tex](-2t)+(-5t)=(+9)+(-16)[/tex]

Add the like terms and evaluate.

[tex]-2t-5t=9-16[/tex]

[tex]-7t=-7[/tex]

[tex]7t=7[/tex]

[tex]t=7/7[/tex]

[tex]t=1[/tex]

Answer:

Step-by-step explanation:

If A then B is a conditional statement.

Answer:

37.7 inches

Step-by-step explanation:

She wants to paint the line along the circumference of the plate.

The plate is circular; the circumference of a circle is given as:

C = πD

where D = diameter

The diameter of the plate is 12 inches, therefore:

C = π * 12 = 37.7 inches

The line will be 37.7 inches long.

Answer:

20%

Step-by-step explanation:

There is a 20% chance you get selected for researching China because 5 out of 25 spaces are ones for researching China.

[tex]\frac{5}{25} =\frac{20}{100}[/tex]

Answer:

C.

Step-by-step explanation:

Take the equation for finding the volume of a sphere and plug in your radius

4π[tex]\frac{r^3}{3}[/tex] = V

your equation would plug in 7 for the r. Then simplify the rest of the equation.

Answer:

c

Step-by-step explanation:

I'm not sure but i hope this helps