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snow_tiger [21]
2 years ago
13

(4 times 2 to the third power) - (64 divided by 8)

Mathematics
1 answer:
Irina-Kira [14]2 years ago
7 0

Answer:

24

Step-by-step explanation:

(4 times 2 to the third power) - (64 divided by 8) = 4*(2^3) - 64/8

= 4*8 - 8 = 32 - 8 = 24

The answer is 24

Hope this helps :)

Have a great day!

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Find the area between y=(x-2)ex and the x-axis from x=2 to x=4.
mojhsa [17]

Answer:

e^4+e^2

Step-by-step explanation:

It can be found by integral.

First let's find the intersection points.

(x-2)e^x = 0

Only intersection point is x = 2.

And it is asked to find the area in the interval (2, 4).

\int\limits^4_2 (x-2)e^x \,dx=?

We will use integration by parts.

x-2=u\\dx=du\\e^xdx=dv\\e^x=v

\int\limits^4_2 (x-2)e^x \,dx=uv-\int vdu=(x-2)e^x-\int e^xdx=(x-2)e^x-e^x=\\\\=(x-3)e^x|^4_2=(4-3)e^4-(2-3)e^2=e^4+e^2

3 0
3 years ago
Todd is training to bike in the Turkey Trot Bike Race and rode his bike 7 ¾ miles per hour for 2 2/3 hours. How many miles did T
trapecia [35]
(7 3/4 mi/h)*(2 2/3 h) = 20 2/3

Todd rode 20.667 miles.
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A calculator that works with mixed numbers is a handy thing.
5 0
3 years ago
What is one factor of 2x^2-32y^2
serg [7]
Here you have two terms connected by the "subtraction" symbol.

The two coefficients are 2 and 32, and one factor common to both of these is 2.     Thus, <span>2x^2-32y^2 = 2(x^2-16y^2).

You could stop here.  But it'd make more sense to continue, since x^2-16y^2 is easy to factor:

The three factors of </span><span>2x^2-32y^2  are 2, x-4 and x+4</span>
4 0
3 years ago
Simplify please I need help don't get it
trasher [3.6K]
Hope this helps. If you have any further question ask me in comment.

4 0
3 years ago
Of the following equations below, which equation represents a direct variation between x and y?
spin [16.1K]

Answer:

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A. 2y = 3x-7

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.  

B. y-4 = x+6

Solving above expression we get;

y-4 = x+6\\y = x+6+4\\y=x+10

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C. y+3 = x+3

Solving above expression we get;

y+3 = x+3\\y = x+3-3\\y=x

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D. 4y+1 = 4x-1

Solving above expression we get;

4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C. y+3 = x+3

7 0
3 years ago
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