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2 years ago

Math test! i need help

Mathematics

2 answers:

Y_Kistochka [10]2 years ago

7 0

Answer:

C. x ≥ 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

lara [203]2 years ago

3 0

Answer:

[3] x ≥ 4

Step-by-step explanation:

[Give] -7 ≥ 13 - 5x

[Subtract 13] -20 ≥ -5x

[Divide by negative & flip the sign since it is negative] 4 ≤ x

[Flip sides & flip the sign] x ≥ 4

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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I need help on this I don’t understand how to do this

stepan [7]

Answer:

Hi there!

The correct answer to this question is: The <u>side length</u> of the square base is 18 inches and the <u>height</u> of the pyramid is 9 inches.

Step-by-step explanation:

The equation to find the volume of a square pyramid is V= (b^2)(h/3)

we are given the volume to be 972 inches cubed, additionally we know that the base of the square is x inches, the height is x/2

then we plug in and we get 972= (x^2)(x/2/3)

then you simplify to 972 = x^3 / 6 then you multiply six on both sides and you get x^3 = 5832

cube root on both sides and you get x = 18 that means the base is 18 inches and the height is x/2 then you plug 18 in and you get the height to be 9 inches.

8 0

3 years ago

What is the standard form polynomial representing the volume of this shipping container?

harina [27]

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

= [(4x² + 3x)(x²- 8)](6x + 15)

= [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

= (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

= (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

= 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

= 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

= 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

8 0

3 years ago

Read 2 more answers

Marco’s mother told him that she would add 25% to his allowance if he had saved it all. What fraction is this?

Makovka662 [10]

25 percent more = 125/100 = 5/4 of the regular allowance

answer: 5/4 of the regular allowance

5 0

3 years ago

Read 2 more answers

Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0

3 years ago

Nyla writes 1/4 of a page and 1/8 of a minute. how much time does it take her to write a full page ? answer

grin007 [14]

For this case we can make the following rule of three:
1/4 --------> 1/8
1 ----------> x
From here, we clear the value of x.
We have then:
x = (1 / (1/4)) * (1/8)
Rewriting:
x = 4 * (1/8)
x = 4/8
x = 1/2 minutes
Answer:
it takes her 1/2 minutes to write a full page

8 0

3 years ago