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never [62]
3 years ago
8

A rectangular prism has a dimension x units ,2x units and x+8 units . Which expression represents the surface area of the prism

?!
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Formula to find the surface area of the rectangular prism is:

2wl + 2lh + 2hw,

where w is width, l is the length, and h is height of the prism.

Given, the dimension x units ,2x units and x+8 units .

So, we can plug in w= x, l= 2x and h= x+8 in the above formula to get the expression for the surface area of the prism. Hence,

Surface area= 2wl + 2lh + 2hw

=2*x*2x+ 2*2x*(x+8)+2*(x+8)*x

= 4x²+4x(x+8)+2x(x+8) (By multiplying)

= 4x²+4x²+32x+2x²+16x (Multiplying by distribution)

=(4x²+4x²+2x²)+(32x+16x ) (Making the groups of like terms)

= 10x²+48x (Adding the like terms)

So, the expression 10x²+48x units² represents the surface area of the given prism.

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2x^2-12x+5

Step-by-step explanation:

(2x^2-3x+5)(x^2+4x+1)\\(2x^2-12x+5)

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For what values of y : is the value of the binomial 5y−1 greater than the value of the fraction 3y−1/4
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y>0.375

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Read 2 more answers
The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

Z = \frac{X - \mu}{\sigma}

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

Z = \frac{X - \mu}{\sigma}

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
What are the length and width of a rectangular traffic sign if the length exceeds the width by 2 inches and the perimeter is 120
Mazyrski [523]
Answer:

L = w+2
L+w = 60
W+2+w = 60
2w+2 = 60
W+1 = 30
W = 29
L = 31
7 0
2 years ago
In 1995, Orlando, Florida, was about 175,000. At the time, the population was growing at a rate of about 2000 per year. Write an
gladu [14]

Answer:

y= 2000 * x + 175000

Step-by-step explanation:

Given is Population is 175,000

Increase in rate = 2000/year

Let x be the population in 1995 which is C= 175,000

y= Population after per year

We know the formula for slope intercept form is

y= mx + C     ............... (i)

Now from the suppose values and given

m= 2000

Now putting values in equation (i) gives

y= 2000 * x + 175000

Here x is the No of years

6 0
3 years ago
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