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babymother [125]
3 years ago
12

Find the output, k, when the input, t, is 3. K=13t-2 K=

Mathematics
1 answer:
zalisa [80]3 years ago
7 0
K=37

You multiply 13 and 3 and you get 39. You then subtract 2 from 39 to get K.
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Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving
Pachacha [2.7K]

Solution :

$y=x^{3/2}, \ \ y =8, \ \ x=0$

$v=2 \pi \int_0^4 x (8-x^{3/2}) \ dx$

 $= 2\pi \left(\frac{8x^2}{2}-\frac{x^{7/2}}{7/2}\  \left|_0^4

 $=2\pi \left( 4x^2-\frac{2}{7}x^{7/2}\ |_0^4$

 $=2\pi \left( 64-\frac{2}{7} \times 32 \times 4 \right)$

  $=2\pi \left(1-\frac{4}{7} \right) 64$

  $=128 \pi \times \frac{3}{7}$

 $=\frac{384 \pi}{7}$

7 0
3 years ago
The solution to 12x = 36 is x =___. (Only input whole number)
pickupchik [31]
X equals 3. Because you divide 36 by 12
4 0
4 years ago
Read 2 more answers
A movie theater has a membership program, $30 enrollment fee and $5 per movie. Non-members pay $8 per movie. After how many movi
soldi70 [24.7K]

Answer:

The number of movies must be greater than 10

Step-by-step explanation:

Let

x ----> the number of movies

y ----> the total cost

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

<em>Membership</em>

The slope is equal to

m=\$5\ per\ movie

The y-intercept is equal to

b=\$30  ---> enrollment fee

so

The linear equation is

y=5x+30 ----> equation A

<em>Non-Members</em>

The slope is equal to

m=\$8\ per\ movie

The y-intercept is equal to

b=0  ---> Is a proportional relationship

so

The linear equation is

y=8x ----> equation B

Solve the inequality

5x+30 < 8x

5x-8x < -30

-3x < -30

Divide both sides by -3

Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

x> 10

therefore

The number of movies must be greater than 10

4 0
4 years ago
consider the point (8,2) and the Line L, given by the equation y=4x-6. what is the equation of the line in slope intercept form
vampirchik [111]

Answer: y = -x/4 + 4

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 4x - 6

Comparing with the slope intercept form, slope = 4

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of line L passing through (8,2) is - 1/4

To determine the intercept, we would substitute m = - 1/4, x = 8 and y = 2 into y = mx + c. It becomes

2 = - 1/4 × 8 + c

2 = - 2 + c

c = 2 + 2 = 4

The equation becomes

y = -x/4 + 4

7 0
3 years ago
Original price of a cell phone is 154.99$ the discount is 20% what's the price off
Irina-Kira [14]
To get 10 % you have to divide by 10 .
so 154.99 ÷ 10 = 15.499.
that's 10% but you want 20% so you times 10% by 2.
15.499 X 2 = 30.998.
154.99 - 30.998 = 123.992.
you then need to round the answer so you get $123.99
Hope this helps!!
6 0
4 years ago
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