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3 years ago

Determine whether the improper integral converges or diverges, and find the value if it converges.

Mathematics

1 answer:

salantis [7]3 years ago

7 0

Answer:

Integral will be diverging in nature

Step-by-step explanation:

We have given integral $\int_{5}^{\infty}\frac{3}{2}x^2dx$

Now after solving the integral

$[\frac{3}{2}\frac{x^3}{3}]$ limit from 5 to infinite

So $[\frac{3}{2}\frac{\infty^3}{3}]-[\frac{3}{2}\times \frac{5^3}{3}]=\infty$

As after solving integral we got infinite value so integral will be diverging in nature

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For each container of tea, McKenzie uses 16 tea bags and 3 cups of sugar. If McKenzie uses 64 tea bags, how many cups of sugar w

cestrela7 [59]

So tis is a ratio 16 is to 3 or 16:3
if use 64 tea bags then how many cups of sugar so
turn 16:3 into fraction
16:3=16/3 or 3/16, it doesn't matter
then you want to find 64:x or 64/x or x/64

we know that 16/3=64/x because it tis an equivalent ratio
so 16/3=64/x
multiply both sdies by (3 times x)
16 times x times 3/3=64 times 3 times x/x
16 times x=64 times 3
16x=192
divide both sdies by 16
x=12
theanswer is 12 cups of sugar

5 0

3 years ago

What is the graph of 4x + 7y = -28?

lesya692 [45]

Answer:

StGraph the line using the slope and y-intercept, or two points.

Slope: −47

y-intercept: (0,−4)

x y

−7 0

0 −4

step-by-step explanation:

5 0

2 years ago

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Which method(s) can be used to solve a system of equations? Select all that apply. distributing graphing substitution formulas a

katovenus [111]

Distributing, formulas, and addition

6 0

3 years ago

X/2-1/5=x/3+1/4<br>solve this equation

Alekssandra [29.7K]

Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$

$\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}$

$-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}$

$-\frac{1}{5}+\frac{x}{6}+\frac{1}{5}=\frac{1}{4}+\frac{1}{5}$

$\frac{x}{6}=\frac{9}{20}$

$\frac{6x}{6}=\frac{9\times \:6}{20}$

$x=\frac{27}{10}$

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3 years ago

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Which graph represents f(x)=log3x 1?

exis [7]

The correct option A: graph A, shows the logarithmic function;

f(x) = log₃x + 1

<h3>Explain the term logarithmic function?</h3>

The opposite of such an exponential function is a logarithmic function.
A log function and then an exponential function both use the same base.
An exponent is a logarithm. f(x) = bx is how the exponential function be expressed.
The formula again for logarithmic function is f(x) = log base b of x.

f(x) = log₃x + 1

When x = 1

f(1) = log₃1 + 1

f(1) = 0 + 1

f(1) = 1

(1, 1)

When x = 3

f(3) = log₃3 + 1

f(3) = 1 + 1

f(3) = 2

(3, 2)

Thus, the graph must contain the points (1, 1), (3, 2).

Therefore, graph A define the given logarithmic function;

f(x) = log₃x + 1.

To know more about the logarithmic function, here

brainly.com/question/13473114

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7 0

10 months ago