Tommy throws a ball from the balcony of his apartment down to the street. The
height of the ball, in meters, is modeled by the function shown in the graph. What's
the average rate of change of the height of the ball, in meters per second, while it's in the air?
A) -2/3
B) -3/2
C) 2/3
D) 3/2

Answer:

7/16

Step-by-step explanation:

Answer:

not similar,

77/66 does not equal 49/41

Answer:

180 blue cars

Step-by-step explanation:

30/100=x/600

18000=100x

x=180

Answer:

Pat gets 20 and Sam gets 15

Step-by-step explanation:

35 ÷ 7 = 5

5 x 4 = 20 (for Pat)

5 x 3 = 15 (for Sam)

Answer:

The area of rectangle is 12cm² and the perimeter is 14cm.

Step-by-step explanation:

First, you have to find the length of the rectangle using Pythagoras Theorem :

a² + b² = c²

a² + 3² = 5²

a² = 5² - 3²

a² = 16

a = √16

a = 4 cm

Next, you have to find the perimeter and area of rectangle :

Perimeter = 2(length + breadth)

P = 2(4 + 3)

P = 2(7)

P = 14 cm

Area = length×breadth

A = 4×3

A = 12 cm²

Answer:

Ok, 9, 18, 24, 15, and 30

Step-by-step explanation:

3*3=9 - 9/3=3

6*3=18 - 3/18=6

3*8=24 - 24/3=8

3*5=15 - 15/3=5

3*10=30 - 30/3=10

Answer:

Because it goes through the origin and the line is straight but there is still the empty space between the 4 and 6

Step-by-step explanation:

Answer:

Good

Step-by-step explanation:

Goodd

Answer: 4

Step-by-step explanation:

Angle 8 is = to 4, they are corresponding.

Answer:1) bacteria size = b(initial) * e^(r * t)  

initial size = 300  

final size = 1600.

Substituting the values into the main equation:

1600 = 300 * e^(r * 35 - 20)  

solving for 'r'.

1600 = 300 * e^(r * 15)  

1600/300 = e^(r * 15)  

taking natural log on both sides to eliminate the power

ln(16/3) = ln[e^(r * 15)]  

ln(16/3) = r * 15  

r  = ln(16/3) / 15

  = 0.11159843

  = 11.16%  

To find the initial bacteria size,  

Given: t = 20  

300 = b * e^(0.1116 * 20)  

Solving for b:

300 = b * e^2.232  

b = 300/e^2.232  

b = 32

Step-by-step explanation:

Answer:

7 is the answer to that jgf6bf6 reddish Ve

Answer:

y=2x-13

Step-by-step explanation:

12y=-6x+13

y=-1/2x+13/2 is the line, so to find the line perpendicular to that, you find that the slope of the line perpendicular to it is 2 because it's the negative reciprocal of -1/2. Then multiply 2 and 4 to get 8 and subtract 13 to get -5. Now you know that -13 is the y-intercept.

8 + 8 = 16

16 - 14 = 12

Given:

The equation is [tex]7p+10=24[/tex].

To find:

The scenario that uses the given equation.

Solution:

If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units.

According to this scenario,

Total supply = 10+7p

Equate total supply with 24, to find the price at which the supply will be 24 units.

[tex]7p+10=24[/tex]

Therefore, the required scenario is "If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units."

Answer:

89

Step-by-step explanation:

Answer:

A score of 89

Step-by-step explanation:

To find the average, we'll need to add all the results and divide them by the number of her exams. To do this, we'll need to add all her scores and one more (her next score to make the average 85): we'll call that x for now.

(80 + 82 + 83 + 91 + x) ÷ 5 = 85

(336 + x)/5 = 85

Multiply 5 on both sides

336 + x = 425

x = 89

Therefore, Monica will need an 89 on her next test for her average to be 85.

I hope this helped. Good luck and keep studying!

Answer:

I disagree because the decimal point in the wrong place. 40.2

Step-by-step explanation:

The mystery number is 20 for the given information.

A number system is defined as a system of writing to express numbers.

To find the mystery number, we need to find a number that satisfies all the given conditions:

The GCF of 18, 36, and the mystery number is 2.

The prime factorization of 18 is 2 x 3 x 3.

The prime factorization of 36 is 2 x 2 x 3 x 3.

The only common factor is 2 x 3 x 3, which is equal to 18.

This means that the mystery number must also be divisible by 2.

The mystery number is a multiple of 5.

Since the mystery number is a multiple of 5 and also divisible by 2, it must end in 0 or 5.

The mystery number is greater than 18 and less than 30.

The only number that satisfies all three conditions is 20.

Hence, the mystery number is 20 for the given information.

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

0.5

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

x*0.40=50

50/0.40=125

40% of 125=50

x=125

Answer:

Standard Form            

f(x)=10x2-7x-12

Vertex Form

  y=10(x-720)^2-52940

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Since the recipe calls for 1/2 cup of flour, the equation would be 6x2

Answer:

270 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

3

Step-by-step explanation:

(43-20)-2*5

Step 1: 43- 20= 13

Step 2: 2*5 = 10

Step 3: 13 - 10 = 3

PEMDAS

Answer:

The number of distinguishable arrangements are 1,663,200.

Step-by-step explanation:

The word is: CONNECTICUT

The number of ways to arrange a word when no conditions are applied is:

[tex]\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}[/tex]

Here k is the number of times a word is repeated.

In the word CONNECTICUT there are:

3 Cs

2 Ns

2 Ts

And there are a total of n = 11 letters

So, the number of distinguishable arrangements are:

[tex]\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}=\frac{11!}{3!\times 2!\times 2!}[/tex]

                     [tex]=\frac{39916800}{6\times 2\times 2}\\\\=1663200[/tex]

Thus, the number of distinguishable arrangements are 1,663,200.

Answer: I think it the second one

Step-by-step explanation:

Answer:

The variable x represents the  - cost per pound of meat

The variable y represents the  - cost per pound of cheese

The deli charges $4.50 for   -  a pound of meat

Step-by-step explanation:

got it correct for edgen 2020

Answer:

$2.55 each

Step-by-step explanation:

Answer:

2.55

Step-by-step explanation:

9514 1404 393

Answer:

  a = 102°

  b = 78°

  c = f = 58°

  d = 122°

  e = 26°

Step-by-step explanation:

The usual rules apply:

__

There are a couple of angles we can find right away:

  b corresponds to 78°, so has that measure

  a is supplementary to b, so is 180° -78° = 102°

  e is complementary to 64°, so is 26°

The unmarked angle between 78° and f is vertical to 44°, so we have ...

  78° +44° +f = 180°

  f = 58°

Angle c corresponds to angle f, so is 58°

Angle d is supplementary to angle c, so is 180° -58° = 122°

In summary, ...

  a = 102°

  b = 78°

  c = f = 58°

  d = 122°

  e = 26°

Answer:

20 packs

Step-by-step explanation:

2000 / 100 = 20 packs