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3 years ago

−2y−8+4yminus, 2, y, minus, 8, plus, 4, y

Mathematics

2 answers:

Dovator [93]3 years ago

8 0

Answer:

A and B on Khan Academy are correct.

Step-by-step explanation:

lora16 [44]3 years ago

3 0

Answer:

a number 12

Step-by-step explanation:

duh bro

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Margaret is building storage boxes. each box will have a length of 8 feet, a width of 512 feet, and a height of 412 feet. a pint

Lera25 [3.4K]

The surface area of a cuboid is the area of all the six faces of a cuboid. The Paint that is required to paint 3 boxes is 13 pints.

<h3>What is the surface area of a cuboid?</h3>

The surface area of a cuboid is the area of all the six faces of a cuboid. It is given by the formula,

$\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)]$

As it is given the dimensions of the storage box are a length of 8 feet, a width of 5 1/2 feet(5.5 feet), and a height of 4 1/2 feet(4.5 feet). Therefore, the surface area of the box can be written as,

$\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)]$

$\rm \text{Surface area of the box}= 2[(8\times 5.5)+(5.5\times 4.5)+(8 \times 4.5)] = 209.5\ ft^2$

As it is given that the surface area that can be covered with a pint of paint is 50 square feet, therefore, the paint that will be required to paint 209 square feet is,

$\text{Paint Required} = \dfrac{\text{Total area that is needed to be paint}}{\text{Area covered in a pint of paint}}$

$\rm \text{Paint Required} = \dfrac{209.5}{50} = 4.19\ pints$

Now, we know that the surface area of the box is 209 square feet, while the paint required to paint a complete box is 4.19, therefore, the paint that will be required to paint 3 boxes will be,

$\text{Paint required to paint 3 boxes} = 3 \times 4.19 = 12.57 \approx 13$

Hence, the Paint that is required to paint 3 boxes is 13 pints.

Learn more about Surface Area of Cuboid:

brainly.com/question/26403859

4 0

2 years ago

Find the slope of the line through each pair of points (-14,16) (9,16)

Marysya12 [62]

Answer:

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

= (16-16)/(9--14)

= (16-16)/(9+14)

=0/23

The slope is zero which means this is a vertical line. The y value does not change

5 0

4 years ago

Which of the following is NOT a rational number?

alekssr [168]

The only one that is not rational is the square root of 12.

6 0

3 years ago

the answer to this equation is negative 6 but I don’t know to explain how I got the answer is word form.

SpyIntel [72]

The value of k is –6.

Solution:

Given equation:

$$\frac{5 \cdot 5^{k}}{5^{-8}}=5^{3}$

<u>To find the value of k:</u>

$$\frac{5 \cdot 5^{k}}{5^{-8}}=5^{3}$

Using exponent rule: $a^m \cdot a^n = a^{m+n}$

$$\frac{5^{1+k}}{5^{-8}}=5^{3}$

Using exponent rule: $\frac{1}{a^{-m}} = a^{m}$

$$ 5^{1+k} \cdot 5^{8}=5^{3}$

Using exponent rule: $a^m \cdot a^n = a^{m+n}$

$$ 5^{1+k+8}=5^{3}$

$$ 5^{k+9}=5^{3}$

<em>If the bases are same then, we can equate the powers of the bases.</em>

i. e. If $a^m = a^n$ then m = n.

k + 9 = 3

Subtract 9 from both sides of the equation, we get

k = –6

Hence the value of k is –6.

8 0

4 years ago

To save for retirement, Karla Harby put $675675 each month into an ordinary annuity for 1313 years. Interest was compounded mo

IRISSAK [1]

Answer:

5.7% per year

Step-by-step explanation:

For an ordinary annuity, the final amount can be calculated by:

$A = R*(\frac{(1+\frac{r}{n})^{nt}-1 }{\frac{r}{n} } )$

Where A is the final amount, R is the value invested monthly, r is the annual interest, n is the number of months in a year, and t the time in years. So:

$155,514 = 675*(\frac{(1+\frac{r}{12} )^{156}-1}{\frac{r}{12} })$

(\frac{(1+\frac{r}{12} )^{156}-1}{\frac{r}{12} }) = 230.39

$(\frac{(1+\frac{r}{12} )^{156}-1}{r}) = 230.39/12$

(\frac{(1+\frac{r}{12} )^{156}-1}{r}) = 19.2

Solving that in a graphic calculator,

r = 0.057

r = 5.7% per year

3 0

3 years ago