The ages in years of right boys are. 14,14.5,12,11.5,15,13,20.5,13.5. what is the average age.

Answer:

E

Step-by-step explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E

Answer:

6.73

Step-by-step explanation:

Answer:

$81.12

Step-by-step explanation:

get cost per 1 pound by dividing 141.96 by 7; unit price is $20.28

4 pounds multiplied by 20.28 gives you $81.12

Answer:

8x+36

Step-by-step explanation:

distribute the -4

-2x times -4 + -9 times -4

8x+36

Answer:

[tex]64x^2+648x-124[/tex]

if your question is

[tex]\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36[/tex]

Answer:

1/4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

16+8=24

Answer:

[tex]HL\ Congruency[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\HL\ Congruency\ states\ that\ if\ the\ hypotenuses\ and\ any\ sides\ of\ two\\ right\ triangles\ correspond,\ the\ triangles\ are\ congruent.\\Hence,\\Here,\\AC\ [Hypotenuse\ of\ \triangle CDA]=BD [[Hypotenuse\ of\ \triangle BAD]\\\angle BAD=\angle CDA=90[Hence,\ the\ two\ triangles\ are\ right\ triangles]\\AD[In\ \triangle BAD]=AD[In\ \triangle CDA] [Common\ Side]\\Hence, Through\ HL\ Congruency\ Theorem\ \triangle BAD\ is\ congruent\\to\ \triangle CDA.[/tex]

Answer:

asa

Step-by-step explanation:

right angle

same base side

same distance to the other angle

Answer:

Perimeter is 50

Area is 60

Step-by-step explanation:

To get the perimeter, you add all the lengths of the sides together.

To get the area, you do A=hb * b / 2, which is 60

Answer:

The answer is at the bottom!!

Step-by-step explanation:

A= b * h * 1/2

24 * 5 =120

120 / (1/2)=60

60= 24 * 5 * 1/2

P = a + b + c

P= 13 + 24 + 13

P=50

Hope this helps!!

Answer:

Dependent.

Step-by-step explanation:

The system of equations we got there is dependent. This is because they are both basically the same equation, so the graph of both of them is just the same. We can get one equation from the other:

x+2y=7

if we multiplied both sides of the equation by -2 we would get:

-2(x+2y)=-2(7)

-2x-4y=-14

This means that the system of equations will have infinitely many answers.

Answer:

8

Step-by-step explanation:

-9+17=8

I gotta make it 20 characters long so I'm just adding this in :p

Answer:

y = $100 + $1.50x

y = $15x

Step-by-step explanation:

Given that :

A Wok in the Park charges :

Setup fee =$100 ; per person = $12.50

Chop Chop Catering charges :

$15 per person

Writing equation for the amount charged by the 2 services in the form :

y = mx + c ;

A Wok in the Park ;

Setup fee =$100 = c = intercept ; per person = $12.50 = slope = m

y = $100 + $1.50x

Where x = number of persons. ; y = amount charged

Chop Chop Catering charges :

$15 per person

y = 0 + $15x

y = $15x

x = number of persons. ; y = amount charged ; intercept (c) = $0

Answer:

5x-9

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

you have to find the discriminant

b²-4ac for each equation

if discriminant < 0 no real solutions because will be negative under the squareroot whhan you try to find the roots

if discriminant = 0 there is only one solution

if discriminant > 0 two real solutions

for your given problems

A. discriminant =(-2)²-4*2*15 will be negative

Answer:

Tuscon. btw DIE MAX!

Step-by-step explanation:

Answer:yo the rule is

R% x P x T

which in this question is:

r%= 9%

p= 630

t=8

so

630 x 8 x 9% = 453.6

that's the final answer and in order to make sure make

630+453.6=1083.6

Step-by-step explanation:

Answer:

x = [tex]\frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2(x + 7) ← distribute

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = [tex]\frac{15}{2}[/tex]

Answer:

B.) -4.44

Step-by-step explanation:

Order of operations. Do the power then multiplication and division first.

which gets you: (5)+(11.9)-21.34=-4.44

Answer:

B

Step-by-step explanation:

Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)

use definition of logarithm

0.15 = ln(A / 1500)

0.15 = ln(A) - ln(1500)

ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387

Step-by-step explanation:

The amount of money Joe would have in his account after 5 years is $1742.75.

Given the following data:

To determine the amount of money Joe would have in his account after 5 years.

Mathematically, an interest that is compounded continuously given by the formula:

[tex]A = Pe^{rt}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]A = 1500 \times e^{0.03 \times 5}\\\\A = 8000 \times e^{0.15}\\\\A = 1500 \times 1.1618[/tex]

A = $1742.75

Read more on compound interest here: https://brainly.com/question/16992474

Answer:

m = 8 / -2 = 4 / -1 = -4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because 24 divided by 3 = 8 and 3/8 has a denominator of 8 and you divide it by 3

could i have branliest and a heart please

Have a good day :)

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(2,-5)\quad\implies\quad x_1=2\,,\ \ y_1=-5\\\\(3,-7)\quad\implies\quad x_2=3\,,\ \ y_2=-7\\\\d=\sqrt{(3-2)^2+(-7+5)^2}= \sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt5=2.236....\approx2.24[/tex]

Answer:

the answer is A!

Explanation:

here you go <3

Answer:

A

Step-by-step explanation:

Answer:

1. x = 2

2. x = -2

3 x = 1

Step-by-step explanation:

Make x the subjects and work from there

Answer:

23

Step-by-step explanation:

y=f(n)=( -4× -7)-5

f(n)=28-5 =23

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

31 is half of 62, so it was a 50% decrease.

Answer:

He actually has 25 paints.

Step-by-step explanation:

This is because you take 18x100(100 is the total % under 72 because 72 is out of 100) that equals 1800. then, you take 1800 and divide it by 72. That is because 72 is the actual number that we already have. You would get 25 after dividing. hope this helps:)

Answer:

25

Step-by-step explanation:

Think the number is x

So

According to the question

The equation is

x×72%=18

x×72/100=18

x×18/25=18

x=18×25/18

x=25

So

There are 25 colours on the artist's palette

Answer:

It cost $397

Step-by-step explanation:

Because 906 divided by 2 equals 453 minus 56 equals 397

Answer:

315

Step-by-step explanation:

Answer:

assuming all the meals cost the same: about 141 dollars

Step-by-step explanation:

comment if explanation needed