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3 years ago

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

6 0

Answer:

The slope also increases

Step-by-step explanation:

The slope of a function is the ratio of change in y to change in x. For an exponential function f(x) = e^x, the slope of the function is equal to the function, i.e slope = e^x.

For a function represented by $y=2^x$ , this is an exponential function representing growth, the slope of $y=2^x$ is also $2^x$ , therefore as the value of x increases, the value of the slope also increases.

At x = 1, slope = 2^1 = 2, At x = 4, slope = 2^4 = 16.

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a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in

damaskus [11]

the area of the piece of land that is not part of the garden is $28,486ft^2$ .

Step-by-step explanation:

Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter. We need to find what is the area of the piece of land that is not part of the garden . Let's find out:

Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !

Area of Land:

Area of land is given by

⇒ $length(width)$

⇒ $120(240)$

⇒ $28,880ft^2$

Area of Garden:

Area of circular garden given by

⇒ $\pi r^2$

⇒ $\pi (\frac{D}{2})^2$

⇒ $\pi (\frac{20}{2})^2$

⇒ $\pi (10)^2$

⇒ $100\pi$

⇒ $100(3.14)$

⇒ $314ft^2$

Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is $28,486ft^2$ .

8 0

2 years ago

Ratio question. Someone please help me!

kipiarov [429]

Answer:

b is the right answer

Step-by-step explanation:

because the ratio of 98÷10=9.8

when we did the ration of 1078÷110=9.8

we can say that both ratio is same.

3 0

2 years ago

Read 2 more answers

An equation is shown x + 3 = 8.5 what is the solution to the question A x = 11.5 B x= 5.5 C x= 2.83 D x= 25.5

german

Answer: x =5.5

x+3=8.5

subtract “-3” from both sides

x = 5.5

3 0

2 years ago

Read 2 more answers

Divide the sum of -13/5 and 12/7 by the product of -31/7 and -1/2

andriy [413]

Let's compute the two factors separately: as for "the sum of -13/5 and 12/7", we have to rewrite the two fractions so that they have the same denominator. Since the least common multiple of 5 and 7 is 35, we will change both fractions so that they have denominator 35:

$\frac{-13}{5} = \frac{-13}{5}\frac{7}{7} = \frac{-91}{35} \qquad \qquad \frac{12}{7} = \frac{12}{7}\frac{5}{5} = \frac{60}{35}$

So now we can sum them:

$\frac{-13}{5}+\frac{12}{7} = \frac{-91}{35}+\frac{60}{35} = \frac{-91+60}{35} = \frac{-31}{35}$

Multiplication is easier, since you just have to multiply numerators and denominators with each others:

$\frac{-31}{7} \frac{-1}{2} = \frac{-31 \cdot (-1)}{7\cdot 2} = \frac{31}{14}$

Finally, we must divide the two fractions. Dividing by a fraction is the same this as multiplying by the inverse of that fraction, i.e. we have to switch numerator and denominator:

$\frac{-31}{35} \div \frac{31}{14} = \frac{-31}{35} \cdot \frac{14}{31} = -\frac{2}{5}$

8 0

3 years ago

Convert to find the equivalent rate. 960 packages per hour packages per week

saw5 [17]

Answer:

161,280 packages in 1 week

Step-by-step explanation:

there are 168 hours in 1 week

so 960 × 168 = 161,280

5 0

3 years ago