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2 years ago

Choose the correct simplification of the expression d3 ⋅ d5.

Mathematics

1 answer:

snow_tiger [21]2 years ago

5 0

$d^3*d^5=d^{3+5}=d^8$

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An object is translated by ( x + 4, y - 2). If one point in the image has the coordinates (5, -3), what would be the coordinates

Nikolay [14]

To find the pre-image we work backwards. Since the coordinates one of the translated image is (5,-3) and this image was translated with the formula (x+4, y-2), then we can just work backwords.
(x-4, y+2) --> (5-4,-3+2) -->(1,-1)
The correct answer is (1,-1)

5 0

3 years ago

Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.

trasher [3.6K]

Answer:

$\frac{xe^{7x}}{7} + \frac{e^{7x}}{49}$

Step-by-step explanation:

Given the integral equation

$\int\limits{xe^{7x}} \, dx \\$

According to integration by part;

$\int\limits {u} \, dv = uv + \int\limits {v} \, du$

u = x, dv = e^7x

du/dx = 1

du = dx

$v = \int\limits {e^{7x}} \, dx \\v = e^7x/7$

Substitute the given values into the formula;

$\int\limits {xe^{7x}} \, dx = x(e^{7x}/7) + \int\limits ({e^{7x}/7}) \, dx\\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{7*7} \\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{49}$

3 0

2 years ago

What is 4 5/6 - 9 8/9

vodomira [7]

Answer:

-91/18

Step-by-step explanation:

hope this helps!

7 0

2 years ago

Which is the best approximation of the volume of a cone with the same base and height as the cylinder?

Sever21 [200]

If the volume of a cylinder is x, then the volume of a cone with same height and diameter is x/3

so

if the cone is 72ft³ then the cone with same base and height is 72/3ft³=24ft³

answer is A

3 0

3 years ago

A textbook store sold a combined total of 411 psychology and history textbooks in a week. The number of history textbooks sold w

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

h and p are the number of history and psych textbooks, respectively.

store sold a total of 411 textbooks in a week.

h + p = 411

The number of history textbooks sold was 69 less than the number of psychology textbooks sold.

h = p - 69

Substitution

(p-69) + p = 411

2p = 411+69

p = 240

h = p-69 = 171

171 history books and 250 psych books

8 0

2 years ago