There are 12 sixth graders, 11 seventh
graders, and 13 eighth graders on a
soccer team. The coach randomly selects
one student to collect all of the soccer
balls. In how many ways can choosing
not an eighth grader occur?

Hi there!

[tex]\large\boxed{\text{False.}}[/tex]

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

Answer:

volume = 904.78 cubic inch

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]

Answer:

904,32 in³

Step-by-step explanation:

The formula for finding the volume of a sphere with given radius is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

You simply substitute r³ with 6³:

[tex]V=\frac{4}{3} \pi 6^3[/tex]

Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³

Answer:

X=0 or x=8/5

Step-by-step explanation:

Answers:

==============================================

Explanation:

We use these rules shown below

For reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).

Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.

Answer:

8.7

Step-by-step explanation:

Step-by-step explanation:

x + 7 = 92

x = 92 - 7

x = 85

The value of x is 85

Answer:

C' (- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

C (3, 2 ) → C' (- 3, 2 )

Answer:

PR = 2*36 = 72

SU = (1/2)54 = 27

RS = 36

Step-by-step explanation:

By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,

Answer:

90.8

Step-by-step explanation:

20/13 = x/59

13x = 1180

x=90.76

x=90.8

Answer:

B

Step-by-step explanation:

x+x+94 = 180 (sum of angle of triangle)

2x+94 = 180

2x = 180-94

2x = 86

x = 86÷2

Therefore x = 43

Answer:

39

Step-by-step explanation:

sin^-1(x)= 39/62

x= 38.97

x=39

Why is this? Recall that (x-h)^2+(y-k)^2 = r^2  is the general template of a circle. The center being (h,k) and the radius is r.

For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.

The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.

Answer:

-7

Step-by-step explanation:

THE CORRECT ANSWER IS 57 CM³!

Answer:

53 gallons of fuel

Step-by-step explanation:

Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

[tex]\frac{10}{250} = \frac{x}{1325}[/tex]

Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)

[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]1325 \times 0.04\\\\= 53[/tex]

Therefore, 53 is the amount of gallons of fuel needed.

Answer:

translate; Assault me or ban the question

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.

4^2 + JK^2 = 5^2

16 + JK^2 = 25

JK^2 = 9

JK = 3

now we can solve for GH

3^2 + GH^2 = 5^2

9 + GH^2 = 25

GH^2 = 16

GH = 4

Answer:

D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1

Step-by-step explanation:

A. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 1 /2 , 1 /4 )

Focus:  

( 1 /2 , 0 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

− 6

− 1

− 2

1

2

1

4

1

0

2

− 2

B. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 /2 , 3 /4 )

Focus:  

( − 1 /2 , 1 )

Axis of Symmetry:  

x

=

−

1

2

Directrix:  

y

=

1

2

x

y

− 2

3

− 1

1

− 1

2

3

4

1

3

2

7

C. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 1 /2 , 3 /4 )

Focus:  

( 1 /2 , 1 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

7

− 1

3

1

2

3

4

1

1

2

3

D. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 , 0 )

Focus:  

( − 1 , 1 /4 )

Axis of Symmetry:  

x

=

− 1

Directrix:  

y

=

− 1

4

x

y

− 3

4

− 2

1

− 1

0

0

1

1

4

Answer:

0.0512

Step-by-step explanation:

Probability of making a correct guess ; p = 1 / 5 = 0.2

q = 1 - p = 1 - 0.2 = 0.8

Number of questions, n = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 3) = 5C3 * 0.2^3 * 0.8^2

P(x = 3) = 0.0512

x = -2

−12x−2(x+9)=5(x+4)

Use the distributive property to multiply −2 by x+9.

−12x−2x−18=5(x+4)

Combine −12x and −2x to get −14x.

−14x−18=5(x+4)

Use the distributive property to multiply 5 by x+4.

−14x−18=5x+20

Subtract 5x from both sides.

−14x−18−5x=20

Combine −14x and −5x to get −19x.

−19x−18=20

Add 18 to both sides.

−19x=20+18

Add 20 and 18 to get 38.

−19x=38

Divide both sides by −19.

x=  

−19

38

​

Divide 38 by −19 to get −2.

x=−2

The required simplified value of x for the given equation is -2/19.

To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

-12x - 2(x + 9) = 5(x + 4)
-12x -2x  - 18 = 5x + 20
-14x - 18 = 5x  + 20
-14x - 5x = 20 - 18
-19x  = 2
x = -2/19

Thus, the required simplified value of x for the given equations is -2/19.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Answer:

138.23 in

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

138.16

Step-by-step explanation:

Diameter times pi gives you circumference. I used 3.14

Answer:

c. 9/12

Step by step explanation.

Given: sin = 9/15

and,

[tex]sin = \frac{opp.}{hyp.} [/tex]

[tex]tan = \frac{opp.}{adj.} [/tex]

thus, find adj. side

by using Pythagoras theorem

[tex] {c }^{2} = {a}^{2} + {b}^{2} [/tex]

then,

let adj. side be a^

[tex] {a}^{2} = {c}^{2} - {b }^{2} \\ {a}^{2} = {15 }^{2} - {9}^{2} \\ {a}^{2} = 144 \\ a = 12[/tex]

thus,

adj. side is 12

then,

tan of the angle = 9/12

Answer:

f(1) = - 3

Step-by-step explanation:

Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then

f(1) = - 3

=========================================================

Explanation:

The quotient is the result after a division problem.

As another example, we would say that 9 is the quotient of 27 and 3 because 27 ÷ 3 = 9

We can use the slash symbol / to mean division. So we could say 27/3 = 9

Going back to the answer, we could rewrite j ÷ 9 as j/9

The order is important. This means j ÷ 9 is different from 9 ÷ j which represents "the quotient of 9 and j".

Answer:

Step-by-step explanation:

Roots:  set y = x^2 + 8x + 12 = 0 and solve for x:  x + 6 = 0, so x = -6 is one root.  The other is x = -2.  The corresponding points are (-6, 0) and (-2, 0).

y-intercept:  Let x = 0.  Then y = 12.  The y-intercept is (0, 12).

Axis of symmetry:  x = -b / (2a) => x = -8/(2*1) = -4:  x = -4

Vertex y-value:  evaluate y at x = - 4:  (-4)^2 + 8(-4) + 12 = -4:    (-4, -4)

Arbitrarily chosen x value:  x = 1 => 1^2 + 8(1) + 12 = 21:     (1, 21)

The five points are:  (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21).  The vertex is (-4, -4).  The parabolic graph opens UP.

The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = x² + 8x + 12

Conver the equation into a vertex form. Then we have

y = x² + 8x + 12

y = x² + 8x + 16 - 16 + 12

y = (x + 4)² - 4

The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).

The graph is given below.

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ2

Answer:

B. 54°

Step-by-step explanation:

There are 360° in a circle and sector 4 consists of 15% of it.

We just have to multiply the 2 numbers.

15% = 0.15

0.15(360) = 54

Answer:

do you still need help

Step-by-step explanation:

???