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3 years ago

A large office building is 158 m long, 56 m wide and 417 m high. What is its volume? Answer in units of m3.

Mathematics

1 answer:

Vesnalui [34]3 years ago

6 0

Answer:

Volume = 3,689,616 m³

Step-by-step explanation:

A large office building would make a three-dimensional shape of a rectangular prism. The formula for the volume of a rectangular prism is:

V =lwh, where l = length, w = width and h = height

In this case, the l = 158m; w = 56m and h = 417m. Putting these values into the formula for volume:

V= (158)(56)(417) = 3,689,616 m³

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What is the square root of 5x^2 = 300

vesna_86 [32]

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Step-by-step explanation:

We need to find the square root of 5x^2 = 300

Writing in mathematical form:

$5x^2=300$

Divide both sides by 5

$\frac{5x^2}{5}=\frac{300}{5}$

$x^2=60$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{60}$

$x=\pm (\sqrt{2\times 2\times 3\times 5})$

$x=\pm (\sqrt{2^2 \times 3\times 5})$

$x=\pm (2\sqrt{3\times 5})$

$x=\pm (2\sqrt{15})$

$x=2\sqrt{15},\,\,x=-2\sqrt{15}$

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Keywords: Square root

Learn more about square root at:

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7 0

4 years ago

i need help with this if you help me i will mark you as brainliest if its right please dont put the answer in a file

STatiana [176]

Answer:

more than 7

Step-by-step explanation:

4+3 = 7

)sorry if i was wrong(

5 0

3 years ago

Read 2 more answers

Last week, the price of cherries at the corner deli was $4.99 per pound. This week, cherries at the same deli are on sale at a 1

sergij07 [2.7K]

Answer:

The price for 3.75 pounds of cherries is $17.775.

Step-by-step explanation:

The price las week was $ 4.99 and it got a discount of 15% for this week, this means that the price for this week is 100% of the one prior minus 15%, therefore it is 85% of the last price. We need to calculate the price per pound with this discount as shown below:

$\text{this week} = \text{last week}*\frac{95}{100}\\\\\text{this week} = 4.99*0.95 = 4.74 \text{ per pound}\\$

Since the price is $4.74 per pound and we want to buy 3.75 pounds, then the total amount we need to pay is:

$\text{total amount} = 3.75*4.74 = 17.775$

The price for 3.75 pounds of cherries is $17.775.

6 0

3 years ago

F(x) =-2x^2-4x-18 find f (-6)

Alexxandr [17]

Answer:

ncdjndndd

Step-by-step explanation:

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7 0

4 years ago

A sample survey interviews SRSs of 500 female college students and 550 male college students. Researchers want to determine whet

stira [4]

Answer:

Option (d) and (e)

Step-by-step explanation:

We are given that a sample survey interviews SRS of 500 female college students and 550 male college students. And Researchers want to determine whether there is a difference in the proportion of male and female college students who worked for pay last summer.

In all, 410 of the females and 484 of the males say they worked for pay last summer.

From this, Null Hypothesis, $H_0$ : $p_1 = p_2$ {means proportion of male and female college students who worked for pay last summer are same}

Alternate Hypothesis, $H_1$ : $p_1\neq p_2$ {means there is a difference in the proportion of male and female college students who worked for pay last summer}

Now, since we know that results were statistically significant at the 1% level.

So, if p-value is less than the significance level ⇒ we will reject $H_0$

if p-value is more than the significance level ⇒ we will not reject $H_0$

From the options given it is sure that P-value is less than 1%,i.e.;

<em>P-value is less than the significance level, so we will reject null hypothesis and conclude that there is convincing evidence that the proportion of all male college students in the study who worked for pay last summer is different from the proportion of all female college students in the study who worked for pay last summer. </em>

Also, option (d) and (e) are same in my opinion.

4 0

4 years ago