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Alona [7]
2 years ago
14

A plant is already 52 centimeters tall, and it will grow one centimeter every month. Let H be the plant's health (in centimeters

) after M months. Write an equation relating H to M. Then use this equation to find the plant's height after 31 months.
Equation:

Plant's height after 31 months: _______ centimeters
Mathematics
1 answer:
Tasya [4]2 years ago
5 0

Plant's height after 31 months:82 centimeters

<h3>How to find the height of the plant</h3>

The equation that can be used to find the height of the plant is given as

h = 52 centimeters + 1m

We have that the plant grows at 1 centimeter every month hence we have 1m in the equation.

Then the number of periods is m, Now we are to find the height in this period of time

h = 52 + 1*31

= 51 + 31

= 82

Hence the height after 31 months is given as 82 centimeters.

Read more on height here:

brainly.com/question/73194

#SPJ1

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Sholpan [36]

Answer:

29 : 8

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4 0
3 years ago
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. The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces
Pepsi [2]

Answer:

She should offer a guarantee of 13.76 years.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.

This means that \mu = 10, \sigma = 2

If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?

She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.

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

1.88 = \frac{X - 10}{2}

X - 10 = 2*1.88

X = 13.76

She should offer a guarantee of 13.76 years.

8 0
3 years ago
Solve for x.<br> 18x - 12<br> 16x +8<br> x = [?]
rodikova [14]

Answer: x = 10;

Both the angles are congruent, therefore;

8x - 12 = 6x + 8

=> Now subtract 6x from each side of "="

2x - 12 = 8

=> Add 12 to each side;

2x = 20

=> Lastly divide each side by 2;

<u>x = 10</u>

Hope this helps!

7 0
3 years ago
Read 2 more answers
A,b,c,or d help plz<br><br><br>Does this table represent a function
brilliants [131]
Yes, because every x-value corresponds to exactly one y-value
5 0
3 years ago
8)
zepelin [54]

Answer:

Multiply the first equation by 3 and multiply the second equation by -2.

This is justified by the multiplication property of equality

Step-by-step explanation:

we have

2x+5y=7 ----> first equation

3x+4y=6 ----> second equation

step 1

Multiple the first equation by 3 both sides

3(2x+5y)=3(7) -----> by multiplication property of equality

6x+15y=21 ----> new first equation

step 2

Multiple the second equation by -2 both sides

-2(3x+4y)=-2(6)  -----> by multiplication property of equality

-6x-8y=-12 ----> new second equation

step 3

Solve the system of equations by elimination

Adds new first equation and new second equation

6x+15y=21\\-6x-8y=-12\\-------\\15y-8y=21-12\\7y=9\\y=\frac{9}{7}

Find the value of x

substitute the value of y in any equation and solve for x

6x+15y=21

6x+15(\frac{9}{7})=21

6x=21-\frac{135}{7}

6x=\frac{12}{7}

x=\frac{2}{7}

The solution is the point (\frac{2}{7},\frac{9}{7})

therefore

Multiply the first equation by 3 and multiply the second equation by -2.

This is justified by the multiplication property of equality

8 0
3 years ago
Read 2 more answers
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