True or false?

The length of the intercepted arc is equal to the circumference of the circle.

Given:

Brianna had a garden Box that is 8' by 12'.

She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].

To find:

The area of her new garden.

Solution:

Let the length and width  of the original garden are 8 ft by 12 ft respectively.

Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].

Length of the new garden is

[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]

Width of the new garden is

[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]

Now, the area of the new garden is

[tex]Area=Length\times Width[/tex]

[tex]Area=(4)\times (6)[/tex]

[tex]Area=24[/tex]

Therefore, the area of the new garden is 24 sq. ft.

Answer:

3/4

Step-by-step explanation:

that's as simple as it gets

Answer:

[tex]Rate = 15[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 56 - 0.020x^2[/tex]

Required

Find the average change from​ 1,000 car seats to​ 1,050 car seats --- Missing information

This is calculated using:

[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]

In this case:

[tex]a = 1000[/tex]

[tex]b = 1050[/tex]

Now, we have:

[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

Calculating R(1050)

[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]

[tex]R(1050) = 58800-22050[/tex]

[tex]R(1050) = 36750[/tex]

Calculating R(1000)

[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]

[tex]R(1000) = 56000- 20000[/tex]

[tex]R(1000) = 36000[/tex]

So:

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

[tex]Rate = \frac{750} {50}[/tex]

[tex]Rate = 15[/tex]

The average rate of change is 12

Answer:

[tex]Length = 6x^2 - 2x + 3[/tex]

Step-by-step explanation:

Given

[tex]Area = 42x^3 - 14x^2 + 21x[/tex]

[tex]Width = 7x[/tex]

Required

Determine the length of the aquarium

The area of a rectangular base is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Width

[tex]42x^3 - 14x^2 + 21x = Length * 7x[/tex]

Make Length the subject

[tex]Length = \frac{42x^3 - 14x^2 + 21x}{7x}[/tex]

Factorize the numerator

[tex]Length = \frac{7x(6x^2 - 2x + 3)}{7x}[/tex]

[tex]Length = 6x^2 - 2x + 3[/tex]

Answer:

Part A: Venti

Part B: (Check the Step-by-step explanation)

Step-by-step explanation:

The unit rate for these drinks is ounce per $.

Tall: 12 oz/$3.55 ≈ 3.38 oz/$

Grande: 16 oz/$4.25 ≈ 3.76 oz/$

Venti: 20 oz/$4.55 ≈ $4.40/oz

Out of all of these, the unit rate for the Venti is the greatest.

Answer:

it was a 2 year loan with $210 contributed each year

Step-by-step explanation:

you take 7 percent of 300 which is 210 and see how many times it goes into the total interest amount and then your answer is how many years the loan was for

Answer:

8. 548.9       9.349.3

Step-by-step explanation:

10% of 499 is 49.9

30% of 499 is 3*49.9=149.7

499+49.9=548.9

499-149.7=349.7

Answer:

See below, please!

Step-by-step explanation:

There are infinite number of ratios equivalent to 3:8 because both numbers can be multiplied by a common number or divided by a common number.

For example, 9:24 would still be equivalent to 3:8 because the common number in our case is 3. See what I mean?

Hope this helped!

9514 1404 393

Answer:

  60 cm

Step-by-step explanation:

The model ship will be x feet long, where ...

  x/100 = 1/50

  x = 100/50 = 2

In meters, that is ...

  2(0.3 m) = 0.6 m

A meter is 100 cm, so the length in centimeters is ...

  (0.6)(100 cm) = 60 cm

Answer:

After next 24 hours, bacterial population would be [tex]1433[/tex]

Step-by-step explanation:

The initial bacterial count at time = 0  was [tex]100[/tex]

At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]

At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]

As we know that

[tex]P = P_0 * e^{rt}[/tex]

The growth rate of bacterial population is equal to

[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]

Substituting the above values we get -

[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]

Count of bacteria after next 24 hours

[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]

Answer:

1,137.24

Step-by-step explanation:

Every worksheet is made up of thousands of rectangles, which are called cells. A cell is the intersection of a row and a column—in other words, where a row and column meet. Columns are identified by letters (A, B, C), while rows are identified by numbers (1, 2, 3).

So all you do is multiply like if you were finding the area:

35.1 x 32.4 = 1137.24.

Answer:

5.04

Step-by-step explanation:

=> 52 -3.5y -4y = 4y -6

Take everything with y to left and numbers to right

=> -3.5y -4y -4y = -52 -6

=> -11.5y = -58

=> 11.5 y = 58

=> y = 58/11,5= 5.04

Answer:

[tex]Rate = 0.13[/tex]

Step-by-step explanation:

Given

[tex]y = \sqrt[3] x[/tex]

Required

Determine the average rate of change over [2,7]

This is calculated as:

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

In this case:

[tex]b = 7[/tex] and [tex]a = 2[/tex]

So, we have:

[tex]Rate = \frac{f(7) - f(2)}{7-2}[/tex]

[tex]Rate = \frac{f(7) - f(2)}{5}[/tex]

From the table:

f(7) = 1.91

f(2) = 1.26

[tex]Rate = \frac{1.91 - 1.26}{5}[/tex]

[tex]Rate = \frac{0.65}{5}[/tex]

[tex]Rate = 0.13[/tex]

Answer:

plot it 2 higher ticks then the zero. hope this helps

Step-by-step explanation:

it should look like this

Answer:

74

Step-by-step explanation:

Answer:

Jordan will have $96 in all after 6 weeks of saving.

Expression will be f(w)= 60+ 6w

brainliest please

Answer:

if ur solving for x the answer is x=-1

Step-by-step explanation:

-15 - 4x = -11

=> -4x = -11 + 15

=> -4x = 4

[tex] = > x = \frac{4}{ - 4} [/tex]

=> x = -1 (Ans)

Answer:

The answer is C. Quadratic Binomial

Answer:

46.6 inches in 5 years

Step-by-step explanation:

Answer: 46.6 inches in five years

Step-by-step explanation:

SO you wanna multiply 7.9 by 5 to get your grand total

Souljem

Step-by-step explanation:

souljem yes yes yes

Step-by-step explanation:

try desmos its a life saver

Answer: 3y+5

Step-by-step explanation: 4y+3−(y−2)

4y+3+−1(y−2)

4y+3+−1y+(−1)(−2)

4y+3+−y+2

(4y+−y)+(3+2)

3y+5

Answer:

6/8 of a chapter

Step-by-step explanation:

3/8 = 1/2 of an hour

1/2 + 1/2 = 1

Basic Fact ^^

So, we need to add 3/8 + 3/8 or 3/8 x 2

We get : 6/8

He didn't read a whole chapter but he did read 6/8 of a chapter.

Answer:

Step-by-step explanation:

There are 60 min in an hour - 1/5 of an hour=20mim

3/8 x 5 = 15/8 = 1 & 7/8 chapters

Answer:

36

Step-by-step explanation:

75%=0.75

0.75*48=3/4*48=144/4=36

Answer:

75% of 48 is 36.

Step-by-step explanation:

So, what I did here was to first find out what 25% of 48 is, because 75% is 25% multiplied by 3.

50% of 48 = 24

Since 25% is half of 50% all we have to do is divide by 2.

24 ÷ 2 = 12.

Now, we multiply by 3.

12 * 3 = 36

So, the answer is 36.

Hope this helps! :)

Answer:

Step-by-step explanation:

[tex](3x+7)8x^2\\ \\ 3x(8x^2)+7(8x^2)\\ \\ 24x^3+56x^2[/tex]

Answer:

10 dollar bill, 5 dollar bill, and one dollar.