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Zolol [24]
3 years ago
12

PS. 99 points will be given What is the volume of the prism? Enter your answer in the box as a mixed number in simplest form. I

really need this to be correct

Mathematics
2 answers:
IRINA_888 [86]3 years ago
7 0
Answer: 90cm^3
Explanation: The volume formula of a rectangular prism is V=lwh
So, if we put the correct length, width and height into the formula, it would be V=9/2*8*5/2
That equals 90, so the volume is 90cm^3.
Nikolay [14]3 years ago
4 0

Answer: 90cmx^{3}

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1/4 divided by 7/1 equals 1/28
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2 years ago
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Evaluate −2(2/5)^10x for x=1/5.
kenny6666 [7]

Answer:

-8/25

Step-by-step explanation:

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8 0
3 years ago
Jason wants to add a fence to his yard to make it the shape of a rectangle. What is the measure of angle MKJ in the portion of t
alex41 [277]

Answer:

\angle MKJ  = 34

Step-by-step explanation:

Given

\angle LKJ = 124

Required

Find \angle MKJ

From the attachment:

The measure of \angle MKJ is calculated using the following expression:

\angle MKJ  + \angle LKM = \angle LKJ

Where

\angle LKM = 90 -- right-angled.

The expression becomes

\angle MKJ  + 90 = 124

\angle MKJ  = 124 - 90

\angle MKJ  = 34

3 0
3 years ago
Please help
Zolol [24]

Given:

The function is

r(x)=0.05(x^2+1)(x-6)

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

To find:

Number of complex and real zeros.

Time intervals for which the population increased and population deceased.

Solution:

We have,

r(x)=0.05(x^2+1)(x-6)

r(x)=0.05(x^3+x-6x^2-6)

Here, degree of function x is 3. It means, the given function has 3 zeros.

From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.

So, the given function r(x) has only one real root and other two real roots are complex.

Therefore, function r has 2 complex zeros and one real zero.

Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.

Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.

Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

3 0
3 years ago
Find f (x )if f apostrophe apostrophe (x )equals x to the power of negative 2 end exponent comma space x greater than 0 comma sp
viva [34]

Step-by-step explanation:

Given g'(x) = g^{-2}, x> 0\ g(1) = 0 \ and \ g(2) = 0

To get g(x), we will have to integrate g'(x)

g(x)  = \int\limits {x^{-2}} \, dx\\ g(x)  = \frac{x^{-2+1}}{-2+1} + C\\ g(x) = -x^{-1} + C\\g(x) = -x^{-1} + C\\

If g(1) = 0, this means at x = 1, g(x) = 0

0 = -1⁻¹ + C

C= 1

Substitute C = 1 into the function

g(x) = -x⁻¹ + 1

If g(2) = 0, this means at x = 2, g(x) = 0

0 = -2⁻¹ + C

C= 2⁻¹

C =  1/2

Substitute C = 2 into the function

g(x) = -x⁻¹ + 1/2

3 0
3 years ago
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