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3 years ago

7

You need to cover the playground of a child development center with mulch. The playground is 125 feet long and 60 feet wide. You

want the mulch to be at least 6 inches deep.

1 answer:

elixir [45]3 years ago

7 0

1 foot = 12 inches
125 feet = 1,500 inches
60 feet = 720 inches
1,500 * 720 * 6 =
6,480,000 inches or 540,000 feet

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Ella and kate play basketball last year ella scored 16 points per game kates total points for the season were 22 less than Ellis

KatRina [158]

Alright, lets get started.

Ella and kate played basketball last year.

In each game, Ella scored 16 points.

We have not given the number of games played.

So, lets suppose there are n games played last year.

So, total points of Ella will be = number of games * each game score

total points of Ella will be = n * 16 = 16 n

Kates total points for the season are 22 less than Elli's points

Means , Kates total points = 16 n - 22

This expression is similar with expression given 16 z - 22 (which is give in question)

It means z = n , means variable z means total games played in last year. : Answer

Hope it will help :)

4 0

3 years ago

The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.

snow_tiger [21]

Answer:

x = 26

Step-by-step explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

4x = 104

4x/4 = 104/4

x = 26

6 0

3 years ago

What is the closed linear form for this sequence given a1 = 0.3 and an + 1 = an + 0.75?

german

Answer:

The closed linear form of the given sequence is $a_{n}=0.75n-0.45$

Step-by-step explanation:

Given that the first term $a_{1}=0.3$ and $a_{n+1}=a_{n}+0.75$

To find the closed linear form for the given sequence

The formula for arithmetic sequence is

$a_{n}=a_{1}+(n - 1)d$ (where d is the common difference)

The above equation is of the given form $a_{n+1}=a_{n}+0.75$

Comparing this we get d=0.75

With $a_{1}=0.3$ and d=0.75

We can substitute these values in $a_{n}=a_{1}+(n - 1)d$

$a_{n}=a_{1}+(n - 1)d$

$=0.3+(n-1)(0.75)$

$=0.3+0.75n-0.75$

$=-0.45+0.75n$

Rewritting as below

$=0.75n-0.45$

Therefore $a_{n}=0.75n-0.45$

Therefore the closed linear form of the given sequence is $a_{n}=0.75n-0.45$

3 0

3 years ago

These tables of values represent continuous functions. In which table do the values represent an exponential function?

vichka [17]

Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

$\frac{f(2)}{f(1)}=\frac{6}{3}=2$

$\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}$

$2\neq \frac{3}{2}$

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

$\frac{f(2)}{f(1)}=\frac{6}{2}=3$

$\frac{f(3)}{f(2)}=\frac{18}{6}=3$

$3=3$

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

$\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}$

$\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}$

$\frac{11}{5}\neq \frac{17}{11}$

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

$\frac{f(2)}{f(1)}=\frac{8}{7}$

$\frac{f(3)}{f(2)}=\frac{9}{8}$

$\frac{8}{7}\neq \frac{9}{8}$

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

3 0

3 years ago

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What is 4 square root 7^3 in exponential form?

Gnesinka [82]

Answer:

Given the radical form: $4\sqrt{7^3}$

Use the exponent rules:

$\sqrt[n]{a^m} = (a^m)^{\frac{1}{n}} = a^{\frac{m}{n}}$

we can write $\sqrt{7^3}$ as:

$\sqrt{7^3} = (7^3)^{\frac{1}{2}} = 7^{\frac{3}{2}}$

then;

$4\sqrt{7^3}$ = $4 \cdot 7^{\frac{3}{2}}$

Therefore, $4\sqrt{7^3}$ in exponential form is $4 \cdot 7^{\frac{3}{2}}$

8 0

3 years ago

Read 2 more answers