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2 years ago

5

Find the values of y = r(x) = ∛x for x = –2.197, –1.331, 0, 1.331, 2.197, 3.375, 4.913 Then plot the corresponding points on a g

raph.

1 answer:

lions [1.4K]2 years ago

8 0

The cube root values and a graph of them are shown in the attachment.

_____

The cube root of a negative number is negative. These all have exact (rational) cube roots.

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Jim Ryan, an owner of a Burger King restaurant, assumes that his restaurant will need a new roof in 7 years. He estimates the ro

Lelu [443]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$9000\\
P=\textit{original amount deposited}\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &7
\end{cases}
\\\\\\
9000=P\left(1+\frac{0.06}{4}\right)^{4\cdot 7}\implies 9000=P(1.015)^{28}\implies \cfrac{9000}{1.015^{28}}=P$

6 0

2 years ago

Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin

jonny [76]

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 92.

<span> 2x + y = 92</span>

The value of y in terms of x is equal to,

<span> y = 92 – 2x</span>

The area is the product of the two sides,

<span> A = xy</span>

Substituting,

<span> A = x (92 – 2x) = 92x – 2x2</span>

Solving for the derivative and equating to zero,

<span> 0 = 92 – 4x ; x = 23</span>

Therefore, the area of the garden is,

<span> A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

4 0

2 years ago

Read 2 more answers

Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?

vitfil [10]

Hi!

We will solve this using ratios, like this:

4 1/2 = 4,5 kg of olive oil for 27 $

1 kg of olive oil for x $

_____________________________

x = (27*1)/4,5

x = 27/4,5

x = 6 $ per kilogram

Hope this helps!

8 0

2 years ago

Sue played four games of golf for these games her modal score was 98 and her mean score was 100 her range of score was 10 what w

earnstyle [38]

Answer : Remaining two observation becomes 97 and 107.

Explanation :

Since we have given that

Mean = 100

Modal value = 98

Range = 10

As we know that ,

Range = Highest-Lowest

Let highest observation be x

Let lowest observation be y

So equation becomes x-y=10 ----equation 1

So, observation becomes

x,98,98,y

Now, we use the formula of mean i.e.

Mean = $\frac{\text{Sum of observation}}{\text{N.of observaton}}$

So, mean = $\frac{x=98=98+y}{4}=400\\\frac{196+x+y}{4}=100\\x+y=400-196\\x-y=204$

So our 2nd equation becomes

x+y=204

On using elimination method of system of linear equation on these two equation we get,

x=97

and

$x+y=204\\y=204-x\\y=204-97\\y=107$

Hence , remaining two observation becomes 97 and 107.

8 0

1 year ago

Which of the following are solutions to the equation sinx cosx = 1/4? Check all that apply.

N76 [4]

The solution is <span>B. π/12+nπ

</span>proof
sinx cosx = 1/4 is equivalent to 2 <span>sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = </span>π/6 + 2nπ, so x = π/12+nπ

8 0

2 years ago

Read 2 more answers