QUESTION 1
A conical cup is 4 cm across and 6 cm deep. Water leaks out of the bottom at the rate of 2 cm/sec. How fast (in cm/sec) is the water level dropping
when the height of the water is 3 cm?(Round your answer two (2) decimal places)

Answer:

2878045.500 cubed metres

Step-by-step explanation:

volume = 1/3* pie* r*r*h

= 1/3 *3.14*165*165*101

=2878045.5 cubed metres

i hope it's helpful

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y (Addition Property of Equality)

1/5x+8/5=y (Division Property of Equality, slope of original equation is 1/5)

y-y1=m(x-x1)    (point-slope formula)

y-(-5))=1/5(x-(6)) (plug in the slope that was found earlier and the point given in the question)

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

y=1/5x-31/5 (Subtraction Property of Equality, and there's your answer)

y=0.2x-6.2 (This is the same answer, but written with decimals)

Answer:

the slope of the line is 2

Step-by-step explanation:

Answer:

The slope of the line is 2.

Step-by-step explanation:

The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).

We can use the formula for finding slope here.

[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:

[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]

Therefore, the slope is 2.

Answer:

25%

Step-by-step explanation:

8-6=2

2/8=0.25

0.25×100=25%

Answer:

9 is the answer.

Step-by-step explanation:

Given:

=> 3-6h

=> 3 - 6(-1)

=> 3 + 6

=> 9

Therefore, 9 is the answer.

Hoped this helped.

Answer:

read explanation for answer

Step-by-step explanation:    Finding the distance between any two integers is obtained by;

Taking the absolute value of the difference between the two integer values.

For instance :

Point A = - 10

Point B = 5

The distance between the two integer points is :

Difference = Point A - Point B = - 10 - 5 = - 15

Absolute value = |-15| = 15

Therefore, This procedure works for any pair of integer distances.

Answer:Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them.

Step-by-step explanation:

Answer:

2x²+2x+8

Step-by-step explanation:

4x²-2x+10-2x²+4x-2

=4x²-2x²-2x+4x+10-2

=2x²+2x+8

Answer:

7/20

Step-by-step explanation:

Answer:

ok so here is answer option no1

1/8 + 1/4 = 3/8

or you could do

18 plus 14 equals 32divided into 8 equals 4

Step-by-step explanation:

if this is wrong I'm very very very really really really sorry.

The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.

8y=-5x+16

y=-5/8x+2.

To be perpendicular, the slope has to be 8/5.

The slope-intercept form is y=mx+c

Where m is the slope and c is the y-intercept.

So y=8/5x+b.

We can plug in the given coordinates to get

7=8/5*-5+b

7=-8+b

b=15.

So eqn is y=8/5x+15 or in point-slope form, y=8/5x+15

5y=8x+75

5y-8x=75

The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.

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Answer:

9

Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Fill in the numbers for each corresponding letter combination within the formula.

Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).

Subtract the numbers within the parentheses.

0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.

Multiply that result by the number to the left of the parentheses.

0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.

Add the three products together.

0 + 0 + 18 = 18

Divide the sum of the three products by 2.

18 ÷ 2 = 9

Answer:36

Step-by-step explanation:

Answer:

The answer is A. Hope this helped!!!!!!

Answer:

answer C because is x is input and is multiplied by 3 so the function would have been y=3x so that is C

Answer and Explanation: The answer and explanation is in the image.

Answer:

35

Step-by-step explanation:

one word: PEMDAS. technically they are all a bunch of words but whatever...

P: parentheses

e: exponents

m: multiply

d: divide

a: add

s: subtract

first we multiply 4*10 since that's first on the list

4*10=40

we have

3+40-8

then we add

3+40

which is 43

then we subtract 8 from it as we have 43-8

which is in the end:

35

Answer:

Step-by-step explanation:

The angle bisector in this isosceles triangle is also its altitude. It meets the base segment at right angles.

  x° = 90°

__

The acute angles in a right triangle are complementary.

  y° = 90° -47°

  y° = 43°

Answer:

8 turtles joined the group

Step-by-step explanation:

13-5=8

Answer:

[tex]\huge\boxed{\overrightarrow{u}-\overrightarrow{v}=\left<-10;\ -3\right>}[/tex]

Step-by-step explanation:

[tex]\overrightarrow{u}=\left<-8;\ 4\right>;\ \overrightarrow{v}=\left<2;\ 7\right>\\\\\overrightarrow{u}-\overrightarrow{v}=\left<-8;\ 4\right>-\left<2;\ 7\right>=\left<-8-2;\ 4-7\right>=\left<-10;\ -3\right>[/tex]

Answer:

Step-by-step explanation:

-u-v = 6,-11

u-v = -10,-3

v-u = 10,3

[tex] \: \: \: \: \: \: [/tex]

[tex] = 25x - 104[/tex]

Step-by-step explanation:

[tex] - x + x26 - 104[/tex]

[tex] - x + 26x - 104[/tex]

[tex] = 25x - 104[/tex]

in essence it's just asking on getting the equation of that line in more or less slope-intercept form, hmmm well, it's a line, so all we need is two points to get it, hmmm let's see let's use the starting point and terminal point, so we know it goes through the origin, (0,0) and also goes through (1, 0.7), let's change 0.7 to a fraction, so its 7/10, ok, let's use those two points from it.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{\frac{7}{10}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{7}{10}}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{~~ \frac{7}{10}~~}{1}\implies \cfrac{7}{10}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{7}{10}}(x-\stackrel{x_1}{0})\implies y = \cfrac{7}{10}x[/tex]

Who's Joe? I am in dire need of therapy.

Answer:

Step-by-step explanation:

Let the tip be x.

You have to take 15% of 90 to get x.

The equation looks like

15/100 * 90 = x         Multiply the numerator of the fraction by 90

1350/100 = x            Divide by 100    

x = 13.50

So the tip is 13.50

There are other ways you could do this problem, but I think this is the most easily understood.

A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?

$13.50

Let the tip be x.

→ x = [tex] 90 \times \frac{15}{100} [/tex]

→ x = [tex] \frac{1350}{100} [/tex]

→ x = $13.50

Answer:

[tex]x^{2} -49[/tex]

Step-by-step explanation:

Answer:

[tex](x-7)(x+7) =x^2 -7^2 = x^2 -49[/tex]

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

At x = 10 and 31 the value of the function h(x) is greater than g(x) thus options (A) and (D) are correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given graph of the function,

At x = 10 the h(x) > g(x)

At x = 31 the h(x) > g(x)

Hence "The value of the function h(x) is bigger than g(x) at x = 10 and 31".

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Step-by-step explanation:

first you need to find the 17 and 8 triangles missing sides length so we do a squared plus b squared equals c square and since we have c which is 17 we subtract 8 squared or 64 from 17 square and we get 225. next the missing line from the next one is done the same way 225 minus 9 squared or 81 and we get 144 and the square root of that is 12 we do 12 squared 144 minus 6 squared because we already know that the side is six because it gives it to us and we get 10.392

Answer:

Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.

Answer:

237.5 miles / hour

Step-by-step explanation:

The conversion factor is 1.6 km = 1 mile.

1 mile / 1.6 km = x / 380 km / hour                  Multiply both sides by 380 km/hour

380 km/hr * 1 mile / 1.6km = x

237.5 miles / hour = x

Answer:

y=1/3x-8

Step-by-step explanation:

The slope intercept form of a line is y=mx+b

m stands for slope and b stands for y intercept

So ... simply put 1/3 in for m and -8 in for b

Answer: Carol bought 4 pounds(lb) of meat.

Explanation: 0.32 x 5 = 1.60, and 0.8 x 3 = 2.40, and 1.60 + 2.40 = 4.

The weight of the meat bought by Carol is 4 pounds.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Carol bought 5 pork chops and 3 steaks. Each pork chop weighed 0.32 pounds and each steak weighed 0.8 pounds.

The weight of the meat will be calculated as:-

0.32 x 5 = 1.60,

0.8 x 3 = 2.40,

Total weight,

1.60 + 2.40 = 4 pounds

Therefore, the weight of the meat bought by Carol will be 4 pounds.

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