There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. How many males are cast in the school play?

Answer:

D. y = −0.054(44) 44.54

Step-by-step explanation:

The difference in years from 1976 to 1996 is 20 years

But from 1976 to 2020 the years would be 44

So here put the value of x as 44  

Therefore the equation that could be used for predict the winning time for the year 2020 is y = −0.054(44) 44.54

Hence, the correct option is d.

ANd the rest of the options are incorrect

Answer:

a) The maximum height of the ball is 272.25 feet

b) The balls take 8 seconds to hit the ground.

Step-by-step explanation:

a) You know that the quadratic function h(t)=−16*t²+124*t+32 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown.

Being a quadratic function of the form:

f (x) = a*x² + b*x + c

The vertex of a quadratic or parabola equation is the highest or lowest point on the graph corresponding to that function. When a> 0, the vertex of the parabola is at the bottom of it and indicates the minimum of the function. When a <0 the vertex is at the top and indicates the maximum of the function.

The value of x at the vertex is calculated by the expression:

[tex]x=\frac{-b}{2*a}[/tex]

The value of y at the vertex is calculated by substituting the value of x at the vertex into the quadratic function.

In this case, being a=-16, b=124 and c=32  you get that the maximum time is:

[tex]x=\frac{-124}{2*(-16)}=3.875[/tex]

Then a maximum height of:

h(3.875)=−16*(3.875)²+124*3.875+32

h(3.875)= 272.25

The maximum height of the ball is 272.25 feet

b) When the ball hits the ground the height is zero. So h (t) = 0:

0=−16*t²+124*t+32

Applying the resolvent:

[tex]\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a} =\frac{-124+-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)}[/tex]

you get:

[tex]\frac{-124+\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =-0.25[/tex]

[tex]\frac{-124-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =8[/tex]

Since the time cannot be negative, the balls take 8 seconds to hit the ground.

Answer:

You didn't put the worksheet.

Answer:

0.13 0.13 3.1.3

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Answer:

2.1

Step-by-step explanation:

Given :

Radios(X):_0 ___ 1 ___2 ___ 3 ___4 ___5

P(X=x) : 0.03 0.20 0.50 0.20 0.05 0.02

The expected weekly radio sales :

Σ(X) * p(x) : (0*0.03) + (1*0.20) + (2*0.50) + (3*0.20) + (4*0.05) + (5* 0.02) = 2.1

Hence, expected weekly radio sale = 2.1

Answer:

A. Reflection over the x-axis.

Step-by-step explanation:

Now, we present how to transform [tex]f(x) = x[/tex] into [tex]g(x) = -5\cdot (x-3)-8[/tex] below:

1) [tex]f(x) = x[/tex] Given.

2) [tex]f(x-3) = x - 3[/tex] Horizontal shift to the right.

3) [tex]-5\cdot [f(x-3)] = -5\cdot (x-3)[/tex] Vertical scale factor.

4) [tex]-5\cdot f(x-3)-8 = -5\cdot (x-3)-8[/tex] Vertical shift downwards.

5) [tex]g(x) = -5\cdot (x-3)-8[/tex] Definition/Result

In consequence, the only transformation which was not done to the linear parent function was a reflection over the x-axis. The correct answer is A.

Answer:

6

Step-by-step explanation:

2(x+2) + 3x

2x + 4 + 3x = 34

5x + 4 = 34

5x = 34–4

5x = 30

x = 30/5

x = 6

Answer:

41% because if you put both of those numbers a decimal like this 0.37 and 0.41

It's greater

Step-by-step explanation:

Answer:

41%

Step-by-step explanation:

percentages are out of 100.

41% is equal to 0.41

and 0.41 is greater than 0.37

Answer:

[tex]m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-12, 1)

Point (4, 1)

Step 2: Find slope m

Answer:

zero; it is a horizontal line

Step-by-step explanation:

equation of slope: [tex]\frac{y1-y2}{x1-x2}[/tex]         (-12, 1) (4, 1)

[tex]\frac{1-1}{-12-4}[/tex] = [tex]\frac{0}{-16}[/tex]

Because the numerator is zero, the slope of the line is zero. It is a horizontal line.

Answer:

Expanded Notation: 7,425=7,000+400+20+5

Expanded Factors: 7,425=7*1,000+4*100+2*10+5*1

Expanded Exponential: 7,425 =7 × 103+4 × 102+2 × 101+5 × 100

Word: seven thousand four hundred twenty-five

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!

Answer:

umm i think you would be at tje point 4,0

Answer:

it is False

Step-by-step explanation:

12.6736≠30.91

Answer:

it is false

Step-by-step explanation:

because (3.56)^2= 3.56^2 = ( 89/25) ^2= 7621/625

Answer:

No because if you set them equivelent to each other you get 12=0

Step-by-step explanation:

1/4(12x + 24) - 9x = -6(x + 1)

3x + 6 - 9x = -6x - 6

-6x + 6 = -6x - 6

12 = 0x

I hope this helps

Answer:

62 is 90.5% of what number?  68.51 (I think)

This is a binomial probability experiment. Each trial is independent of one another, ie each roll is independent. The probability of getting an even number is 3/6 = 1/2 = 0.5 and that probability does not change from roll to roll. Furthermore, the value of n is fixed and not infinitely large. Lastly, each trial outcome comes down to two choices: either you get an even number, or you don't. So we've met the requirements of a binomial probability distribution.

The values of n, p and q are:

Answer:

c

Step-by-step explanation:

Answer:

y=-3/4x+5.5

Step-by-step explanation:

Answer:

The answer is

[tex] \sqrt{65} [/tex]

Step-by-step explanation:

We need to find the distance as instructed.

Its formula is:

[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } [/tex]

Let's plug in according to the formula and solve.

[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } \\ d = \sqrt{( - 7 - 1) ^{2} + (2 - 3)^{2} } \\ d = \sqrt{64 + 1} \\ d = \sqrt{65} [/tex]

Answer:

51 and  -27

Step-by-step explanation:

The sum of two numbers is 24 and their difference is 78. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 24. In other words, x plus y equals 24 and can be written as equation A:

x + y = 24

The difference between x and y is 78. In other words, x minus y equals 78 and can be written as equation B:

x - y = 78

Now solve equation B for x to get the revised equation B:

x - y = 78

x = 78 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 24

78 + y + y = 24

78 + 2y = 24

2y = -54

y = -27

Now we know y is -27. Which means that we can substitute y for -27 in equation A and solve for x:

x + y = 24

x + -27 = 24

X = 51

Summary: The sum of two numbers is 24 and their difference is 78. What are the two numbers? Answer: 51 and -27 as proven here:

Sum: 51 + -27 = 24

Difference: 51 - -27 = 78

Answer:

The numbers are 27 and 51

Explanation

x - y = 24

x + y = 78

Add together the equations

2x = 102

x = 51

Put into equation

51 - y = 24

27 = y

Answer:

If the teacher wants to split an eraser into 5 pieces she/he could but they would be small pieces. if she/he splits them, each student would get one small piece and since there are two erasers, then each student would get 2 small pieces of an eraser.

Step-by-step explanation:

Answer:

the answer is x power 6/y power 3

Answer:

[tex]x^{\frac{6}{y} }[/tex]

Step-by-step explanation:

[tex]x^{\frac{2}{y} * 3}[/tex]

Answer:

subtract 1/2x from 2/3x

Step-by-step explanation:

Step-by-step explanation:

doing whole question

12+7=23⋅−6

12+7=23⋅−6

12+7=23⋅−6

2+7=23⋅−6

2+7=23−6

2+7=23−6

2+7=23−6

2+7−7=23−6−7

Subtract the numbers

2=23−13

2=23−13

2⋅3⋅2=2⋅3(23−13)

Cancel multiplied terms that are in the denominator

Multiply the numbers

Distribute

Combine multiplied terms into a single fraction

Multiply the numbers

Cancel terms that are in both the numerator and denominator

3=4−78

4

4x4x

 from both sides of the equation

3=4−78

3x=4x-783x=4x−78

3−4=4−78−4

Combine like terms

−=−78

−=−78

-x=-78−x=−78

−−1=−78−1

Cancel terms that are in both the numerator and denominator

Divide the numbers

=78

Answer:

Lost Boy, One Call Away, Train wreck, Sad song?

Step-by-step explanation:

Those are just some songs I thought of their not the best but hope it helps some. And good job on singing hope you do well... YOU GOT THIS!! Have a nice day stranger!!

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

Answer:

11

Step-by-step explanation:

√121=11 so right answer is B

Answer:

64 cars

Step-by-step explanation:

because he is multipling by 2

Monday 4

Tuesday 8

Wensday 16

Thursday 32

Friday 64

Answer: On Friday the toy store would have sold 256 race cars.

Step-by-step explanation: The pattern is x2 each number.

M: 4

T: 8

W: 16

T: 32

W: 64

TH: 128

F: 256

Answer:

9 teaspoons of vanilla

Step-by-step explanation:

12/4=3

3*3=9

Answer:

teaspoons of vanilla =9

Step-by-step explanation:

we can make it as a ratio

So we have (3 for teaspoons and 4 tablespoons)

          3:4  

Then  x : 12

x=(12/4)*3=9

hope this helps

Answer:

50 meter ka 10 km

Step-by-step explanation:

50 meter ka 10 km