How many terms are there in the expression? 2x^2 + 5x + 7y

Find surface area of the right angled triangular prism.

jeka57 [31]

A triangular prism has 5 faces, 3 being rectangular and 2 being triangular. The area of the rectangular faces can be found by multiply the base and height lengths together. The area of the triangular faces can be found by multiplying the base and height and dividing by 2.

6 0

2 years ago

Read 2 more answers

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

Drag each graph to show if the system of linear equations it represents will have no

Annette [7]

Top left, none
middle, many
top right, one
bottom left, none

if you extend the top and bottom left graphs, they won’t intercept. but if u extend the middle graph, they always intercept. and the top right graph only intercepts once

4 0

3 years ago

30. f(x) = 11x3 + 3x2 - 4x + 2 and g(x) = 5x3 - 7x + 2. What is f(x) – g(x)? Show all of your steps and

balandron [24]

Answer:

3x(2x^2 +x-1)

Step-by-step explanation:

f(x) = 11x^3 + 3x^2 - 4x + 2,

g(x) = 5x^3 - 7x + 2,

f(x) - g(x) =11x^3+3x^2-4x+2 - (5x^3-7x + 2)=

11x^3+3x^2 -4x+2-5x^3+7x-2=

(11x^3-5x^3)+3x^2+(-4x+7x)+(2-2)=

6x^3 +3x^2 - 3x=

3x(2x^2 +x-1)

3 0

3 years ago

The measurement of the height of 600 students of a college is normally distributed with a mean of

ioda

Answer:

68

Step-by-step explanation:

We let the random variable X denote the height of students of the college. Therefore, X is normally distributed with a mean of 175 cm and a standard deviation of 5 centimeters.

We are required to determine the percent of students who are between 170 centimeters and 180 centimeters in height.

This can be expressed as;

P(170<X<180)

This can be evaluated in Stat-Crunch using the following steps;

In stat crunch, click Stat then Calculators and select Normal

In the pop-up window that appears click Between

Input the value of the mean as 175 and that of the standard deviation as 5

Then input the values 170 and 180

click compute

Stat-Crunch returns a probability of approximately 68%

5 0

3 years ago

How many terms are there in the expression? 2x^2 + 5x + 7y - 6