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Leviafan [203]
4 years ago
6

Please help me solve this problem.

Mathematics
1 answer:
KatRina [158]4 years ago
4 0
The square of the diagonal (d1) of the end face is
.. (d1)^2 = (3 in)^2 +(5 in)^2 = (9 +25) in^2 = 34 in^2

The square of the longest diagonal (d2) will be given by
.. (d2)^2 = (3x in)^2 +(d1)^2
.. = (9x^2 +34) in^2

So, the longest diagonal is
.. d2 = √(9x^2 +34) in
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If (-1, y) lies on the graph of y= 2^2x, then y=<br> -4<br> 1/4<br> 1
AfilCa [17]

Answer:

1/4

Step-by-step explanation:

Substitute x=-1 to find y

Given y= 2^2x

y(-1)=2^-2=1/(2^2)

7 0
3 years ago
Which graph represents the function over the interval [-3, 3]?<br> floor-2
murzikaleks [220]

Answer:

In mathematics, the functions of the whole part are functions that take a real number and return a whole number, either by excess or by default.

 Function floor (or ground), that to each real number assigns the nearest whole number by defect, that is to say, the greater whole number equal or smaller than that real number.

 Let's evaluate the extremes of the interval

 x = -3

 g (-3) = floor (-3) -2 = -5

 x = 3

 g (3) = floor (3) -2 = 1

 Therefore, the graph that best corresponds to the function in the given interval is the attached graph.

Step-by-step explanation:

7 0
4 years ago
Which of the following would be equivalent to 32 ⋅ 35? 3 to the 10th power over 3 to the 3rd power 3 to the 10th power over 3 to
sladkih [1.3K]
<span> 3 to the 10th power over 3 to the 3rd power</span>
8 0
3 years ago
Altred is saving up money for a down payment on a house. He currently has $4739, but knows he can get a loan at a lower interest
Stella [2.4K]

Given the word problem, we can deduce the following information:

Principal amount = $4739

Future amount = $5336

Interest = 5.1 % =0.051

To determine the time to accumulate the $5336, we use the compound interest formula:

A=P(1+\frac{r}{n})^{nt}

A=Future amount=$5336

P=Present amount=$4739

r=interest rate = 0.051

n=number of compounding periods =12

t=time in years

We also note that the number of compounding periods must be 12 since the investment is compounded monthly.

We plug in what we know:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 5336=4739(1+\frac{0.051}{12})^{12t} \\ Simplify\text{ and rearrange} \\ 5336=4739(\frac{12.051}{12})^{12t} \\ 12t=\frac{\ln\frac{5336}{4739}}{\ln\frac{12.051}{12}} \\ t=\frac{\operatorname{\ln}\frac{5,336}{4,739}}{12\operatorname{\ln}\frac{12.051}{12}} \\ Calculate \\ t=2.33 \end{gathered}

Therefore, the answer is 2.33 years.

5 0
1 year ago
A survey taken of 140 sports fans asked the question: "What is the most you have ever spent for a ticket to a sporting event?" T
Zarrin [17]

The IQR is 150 - 130 = 20. Using the 1.5(IQR) criterion we get 130 -1.5(20) = 100. Since the smallest observation of 85 is smaller than 100, it should be considered an outlier

8 0
3 years ago
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