A cylindrical well has a radius of 100 feet and a height of 15 feet what volume of water well it take to fill in the well

In the equation y = -2x, if x is doubled, what happens to y? stays the same doubles quadruples unknown, since a value for x is n

OLEGan [10]

In an equation like that, y would double into 2y. But just keep in mind that what happens to one side must happen to another.

3 0

3 years ago

At the beginning of the school year, 70 students signed up for music lessons. Students could choose drums, guitar, piano, or vio

Irina18 [472]

Answer:

D.

Step-by-step explanation:

1. Answer A:

15 students signed up for violin lessons (4 boys + 11 girls)

15 / 70 = approx. 21% of the class.

Answer A says 28%, so this is incorrect.

2. Answer B:

17 students signed up for drum lessons (11 boys + 6 girls)

17/70 = approx. 24%

B says 17% signed up for drums, so this is incorrect.

3. Answer C.

Wrong because more girls signed up for piano lessons (15 girls, whereas only 9 boys signed up for piano)

4. D. The same percent of boys and girls are taking guitar lessons.

Get the total number of boys and girls in the class (just add the results for each separately for all instruments)

Boys: 11 + 6 + 9 + 4 = 30

Girls: 6+8+15+11 = 40

6 out of 30 boys signed up for guitar

6/30= 20%

8 out of 40 girls signed up for guitar

8/40 = 20%

Answer is D

5 0

3 years ago

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A line passes through the points (-7, 2) and (1, 6).A second line passes through the points (-3, -5) and (2, 5).Will these two l

BlackZzzverrR [31]

Answer:

Yes, the lines intersect at (3,7). The solution is (3,7).

Explanation:

Step 1. The first line passes through the points:

(-7,2) and (1,6)

and the second line passes through the points:

(-3,-5) and (2,5)

Required: State if the lines intersect, and if so, find the solution.

Step 2. We need to find the slope of the lines.

Let m1 be the slope of the first line and m2 be the slope of the second line.

The formula to find a slope when given two points (x1,y1) and (x2,y2) is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our two points for each line, their slopes are:

$\begin{gathered} m_1=\frac{6-2}{1-(-7)} \\ \\ m_2=\frac{5-(-5)}{2-(-3)} \end{gathered}$

The results are:

$\begin{gathered} m_1=\frac{6-2}{1-(-7)}=\frac{4}{1+7}=\frac{4}{8}=\frac{1}{2} \\ \\ \end{gathered}$ $m_2=\frac{5+5}{2+3}=\frac{10}{5}=2$

The slopes are not equal, this means that the lines are NOT parallel, and they will intersect at some point.

Step 3. To find the intersection point (the solution), we need to find the equation for the two lines.

Using the slope-point equation:

$y=m(x-x_1)+y_1$

Where m is the slope, and (x1,y1) is a point on the line.

For the first line m=1/2, and (x1,y1) is (-7,2). The equation is:

$y=\frac{1}{2}(x-(-7))+2$

Solving the operations:

$\begin{gathered} y=\frac{1}{2}(x+7)+2 \\ \downarrow\downarrow \\ y=\frac{1}{2}x+7/2+2 \\ \downarrow\downarrow \\ y=\frac{1}{2}x+5.5 \end{gathered}$

Step 4. We do the same for the second line. The slope is 2. and the point (x1,y1) is (-3, -5). The equation is:

$\begin{gathered} y=2(x-(-3))-5 \\ \downarrow\downarrow \\ y=2x+6-5 \\ \downarrow\downarrow \\ y=2x+1 \end{gathered}$

Step 5. The two equations are:

$\begin{gathered} y=\frac{1}{2}x+5.5 \\ y=2x+1 \end{gathered}$

Now we need to solve for x and y.

Step 6. Equal the two equations to each other:

$\frac{1}{2}x+5.5=2x+1$

And solve for x:

$\begin{gathered} \frac{1}{2}x+5.5=2x+1 \\ \downarrow\downarrow \\ 5.5-1=2x-\frac{1}{2}x \\ \downarrow\downarrow \\ 4.5=1.5x \\ \downarrow\downarrow \\ \frac{4.5}{1.5}=x \\ \downarrow\downarrow \\ \boxed{3=x} \end{gathered}$

Step 7. Use the second equation:

$y=2x+1$

and substitute the value of x to find the value of y:

$\begin{gathered} y=2(3)+1 \\ \downarrow\downarrow \\ y=6+1 \\ \downarrow\downarrow \\ \boxed{y=7} \end{gathered}$

The solution is x=3 and y=7, in the form (x,y) the solution is (3,7).

Answer:

Yes, the lines intersect at (3,7). The solution is (3,7).

6 0

1 year ago

let h (x) represent the height of a bridge at x feet from the start of the bridge. what does h (32) represent?

balandron [24]

Answer:

It is the third one.

Step-by-step explanation:

Since the question is asking us that h(x) represents the height of the bridge the answer can be determined.

8 0

3 years ago

Mszbnxcvlhjuascv,hjaqsc,hjkas

Wittaler [7]

Answer:

A

Step-by-step explanation:

A is a parabola

6 0

3 years ago

Read 2 more answers