Solve for n. (7^2)^4 = n^8

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Leokris [45]

Answer: The value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6

Step-by-step explanation:

Since we have given that

y varies directly as x.

If y = 18, when x = 5.

So, we need to find the value of y when x is 11.

According to question, we get that

$\dfrac{y}{x}=\dfrac{18}{5}=\dfrac{y}{11}\\\\18\times 11=5y\\\\198=5y\\\\\dfrac{198}{5}=y\\\\y=39.6$

Hence, the value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6

5 0

3 years ago

Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel

hjlf

Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we need to know the slope-intercept form of an equation. The slope intercept form is $y=mx+b$ where $m$ is the slope of the line and $b$ is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure $y$ is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have $-\frac{1}{2} y$ so we have to divide both sides by $-\frac{1}{2}$ to get $y=-12x -20$

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or $m$ in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

8 0

3 years ago

Numbers like 10, 100, 1,000, and so on are <br><br> called?

mylen [45]

Numbers starting with a 1 and followed by only 0s (such 10, 100, 1,000,10,000, and so forth) are called powers of ten, and they're easy to represent as "exponents". Powers of ten are the result of multiplying 10 times itself any number of times.

3 0

2 years ago

The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu

amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0

3 years ago

What is 0.006 divided by 0.24

Zolol [24]

When dividing 0.006 divided by 0.024 it becomes 0.025, i did it by calculator so dont give me credit for this lol

8 0

2 years ago