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3 years ago

What is the value of 4x^-3y^3 for x = 3 and y=-1?

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

Answer:

− 23 /27

its a fraction

Step-by-step explanation:

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Write the equation of the line that passes through the given points. (0, -1) and (-5.-9)

Elis [28]

Answer:

$y=\frac{8}{5}x-1$

Step-by-step explanation:

Recall:

Slope -> $m=\frac{Rise}{Run}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$
Slope-intercept form -> $y=mx+b$
Y-intercept -> $b$

Given:

$(x_1,y_1) = (0,-1)$
$(x_2,y_2) = (-5,-9)$

Slope calculation:

$Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-1)}{-5-0}=\frac{-9+1}{-5}=-\frac{8}{5}=\frac{8}{5}$

Y-intercept calculation:

$y=\frac{8}{5}x+b$

$-1=\frac{8}{5}(0)+b$

$-1=0+b$

$-1=b$

Final equation:

$y=\frac{8}{5}x-1$

3 0

3 years ago

Problem situation: Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade

salantis [7]

Answer:

Answer:

18 cups.

Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .

To find number of cups x to make a profit of at least $20 we will use our given inequality.

Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.

3 0

3 years ago

What is the exact volume of the cylinder?

goldenfox [79]

1. Find the radius of the circular base.
2. Calculate the area of the circular base. 
3. Find the height of the cylinder. 
4. Multiply the area of the base by the height.5. State your final answer in cubic units

6 0

4 years ago

Please no random letters or false answers:

ruslelena [56]

Answer: approximately 188.07 feet

======================================================

Explanation:

Refer to the diagram below. Note that the 62 degree angle is from the fact that 90-28 = 62.

With the reference angle 62 degrees in mind, we have an unknown opposite side x feet and a known adjacent side 100 feet.

Use the tangent trig ratio to tie the two sides together, and then solve for x.

tan(angle) = opposite/adjacent

tan(62) = x/100

100*tan(62) = x

x = 100*tan(62)

x = 188.072646534633 approximately

x = 188.07 feet approximately

Your calculator needs to be in degree mode. One way to check is to compute something like tan(45) and the result should be 1.

6 0

3 years ago

For the following right triangle, find the side length x.

lesantik [10]

Answer:

x= 5√7

Step-by-step explanation:

Use the Pythagorean theorem

16^2= 9^2 + x^2

x^2=175

x= √175

x= 5√7

6 0

3 years ago