Which of these is the standard form of the following function?
f(x) = -9(x + 5)2 + 4
f(x) = -9x2 - 90x - 221
AX) = 9x2 - 90x - 221
f(x) = -9x2 – 180x – 221
RX) = 9x2 - 180x + 221

Answer:

8 units for the length

Step-by-step explanation:

Let l = length

w = width

l = w+3

A = l*w

substitute what we know

40 = (w+3) *w

distribute

40 = w^2 +3w

Subtract 40 from each side

0 = w^2 +3w -40

Factor

0 = (w+8) (w-5)

Using the zero product property

w+8 =0   w-5=0

w= -8   w=5

Since the width cannot be negative

w=5

l = w+3 = 5+3

l = 8 units

Answer:

1: 12d

2: m^-2 n^3

Step-by-step explanation:

For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.

For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3

The ^ before a number means that it is an exponent.

Answer:

-35.0

Step-by-step explanation:

Answer:

-.35

Step-by-step explanation:

Answer:

2/2

Step-by-step explanation:

There are only red and green jump ropes so she is for sure going to get a red or green jump rope. If she wants specifically a red or green jump rope her chances are 1/2.

Answer:

D. A minimum

Step-by-step explanation:

Point F is lower than the points nearby, both to the left and the right. Therefore it is a local minimum.

Answer:

The stem and leaf plot is not shown, so I will answer the question in a general way.

Suppose you have the following stem and leaf plot

I 2 I 0 5 8

I 3 I 4 4 7 8

I 4 I 0

Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:

I 2 I 0 5 8

I 3 I 7 7 7 8

I 4 I 0

then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.

The volume of the given rectangular prism is 108 cubic centimeters.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.

Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.

We know that, the volume of a rectangular prism = Length×Breadth×Height

= 4×3×9

= 108 cubic centimeters

Therefore, the volume of the given rectangular prism is 108 cubic centimeters.

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Answer:

B.

Step-by-step explanation:

Given: expressions

To find: the expression whose value is closest to e

Solution:

Value of e is 2.718

[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]

Therefore, value 2.659 is closest to the value of e.

So, option B. is correct.

Answer:

B

Step-by-step explanation:

Answer:

Right Triangle

Step-by-step explanation:

All altitudes meet on the right angle vertex.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

71-45 is 26

Step-by-step explanation:

Answer:

71-45 = 26

Step-by-step explanation:

Answer:

First, let's work out the V of container A and B

V_A = pi x (diameter/2)^2 x height = pi x (26/2)^2 x 14 = 2366 pi (ft3)

V_B = pi x (diameter/2)^2 x height = pi x (18/2)^2 x 15 = 1215 pi (ft3)

After pumping water from container A to container B until B is full:

The empty space inside container A would be:

V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)

Answer:

3,815.1 feet³

Step-by-step explanation:

Volume filled in B = Volume emptied from A

pi × r² × h

3.14 × (18/2)² × 15

3815.1 feet³

Answer:

A

Step-by-step explanation:

Answer:

A. 9

C. 16  

E. 169

F. 625

Step-by-step explanation:

1. Sample

2. Population

3. Parameter

4. Statistic

Answer:

E= 236

Step-by-step explanation:

If C is 56.37, then m= 236

Answer:

236

Step-by-step explanation:

Answer:

25 square root is 5 so the missing sides is 5.

5+5=10 x 2 = 20

perimeter is 20

Hope this helps

Step-by-step explanation:

The perimeter of the given square is 20 inches.

The perimeter of a square is defined as the addition of the lengths of the square.

The perimeter of a square = 4a

Where a is the length of the side of the square

Given that the area of the square is 25 square inches.

Let a is the length of the side of the square

The area of the square = a² = 25

So a = 5

Since all sides of a square are equal, we can calculate the perimeter by multiplying the length of one side by 4:

The perimeter of a square = 4a

The perimeter of a square = 4(5)

The perimeter of a square = 20 inches

Therefore, the perimeter of the square is 20 inches.

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Answer:A.in both chambers

Step-by-step explanation:

Look up the test on the moon.

and the test on Netflix

Answer:

4

Step-by-step explanation:

2 times by itself would make 4

Hope this helps

God loves you

Question:

The quantities x and y are proportional.

x y

5.8 7.5

11.2

Find the constant of proportionality (r) in the equation y=rx

Answer:

The constant of proportionality is 75/58 or 1.29

Step-by-step explanation:

Given

The table above

Required

Find the constant of proportionality

The question has an incomplete table but it can still be solved because x and y are proportional.

Given that

y = rx

Make r the subject of formula

Divide through by x

y/x = rx

y/x = r

r = y/x

When y = 7.5, x = 5.8

Substitute these values

r = y/x becomes

r = 7.5/5.8

Multiply denominator and numerator by 10

r = (7.5 * 10)/(5.8 * 10)

r = 75/58

In this case, it's best to leave the answer in fraction.

However, it can be solved further.

r = 75/58

r = 1.29 (Approximated)

Hence, the constant of proportionality is 75/58 or 1.29

Answer:

the correct answer is 1

hope this helps :D

Answer:

Pet Hotel: 42.50 x + 64 y =277

Animal Spa: 35.50x + 50.5y = 225.50

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each place:

For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .

Mathematically speaking:

Pet hotel: 42.5 x + 64 y =277

Same process for Animal Spa:

Animal Spa: 35.5 x + 50.5y = 225.50

The system is:

42.5 x + 64 y =277 (Pet Hotel)

35.5 x + 50.5y = 225.50 (Animal Spa)

Answer:

huh

Step-by-step explanation:

confused

Answer:

3:2 and 21:14

Step-by-step explanation:

The same side on the larger and smaller cylinders is 30 and 20 respectively or 18 to 12

Simplify:

30:20 => 3:2

18:12 => 3:2

Therefore, the answer is 3:2

However, in addition you can multiply 3 by 7 to get 21 and 2 by 7 to get 14, so 21:14 also works

Answer:

37400

Step-by-step explanation:

just cause.

Answer:

37400

Step-by-step explanation:

Answer: 617 ft.

Step-by-step explanation: So first, the formula is A=C²/ 4π, knowing this, let's just plug in our numbers

A = C² /  4 · π

A = 88² /  4 · 3.14

A = 7744 /  4 · 3.14

A = 7744 /  12.56

A = 7744 /  12.56

A = 616.56

A ≈ 617

Hope this helps :)

Answer:

11 and 16.5

Step-by-step explanation:

3x : 2x = length: width

55 = (3 + 2)(2)x -->

55 = 10x -->

5.5 = x -->

11 and 16.5 = width, length

Answer:

16.5

Step-by-step explanation:

Answer:

2 hours, 142 miles

Step-by-step explanation:

Given;

equation of motion of car A as;

y = 55x + 32

equation of motion of car B as;

y = 42x + 58

where;

y is distance measured in miles

x is time measured in hours

When the distance of the two cars are equal, we will have the following equation;

55x + 32 = 42x + 58

collect like terms and solve for x

55x - 42x = 58 - 32

13x = 26

x = 26 /13

x = 2 hours ( x is time measured in hours)

Now substitute in the value of x into any equation of the cars;

y = 55x + 32

y = 55 (2) + 32

y = 110 + 32

y = 142 miles ( y is distance measured in miles)

Thus, the correct option is 2 hours, 142 miles

Answer:

-6.7, -28/5, 8.2, 17/2

Step-by-step explanation:

Divide the fractions to turn them into decimals, then organize from least to greatest!

Answer:

The second one

Step-by-step explanation:

Divide 17 by 2 = 8.5

Divide -28 by 5 = -5.6

Therefore:

-28/5, -6.7, 8.2, 17/2

Hope this helps!

Answer:144 ways

Step-by-step explanation:

Given

There are 7 different models cars

out of which three are blue and 4 are red

If the first middle and last car in Queue is blue car therefore the position of blue cars is fixed

But these 3 cars can be arranged in 3! ways

Remaining 4 cars can be  arranged in remaining 4 spots in 4! ways

Therefore total no of ways are

[tex]=3!\times 4![/tex]

[tex]=6\times 24=144\ ways[/tex]

Answer:

[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)

Step-by-step explanation:

We want to find the decimal equivalent of 4/15.

[tex]\dfrac{4}{15}=0.266666666.....[/tex]

Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:

[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]

The correct option is B.

Answer:

i got you bro the answer is 0.26 with a  line on top of the 6