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Fed [463]
2 years ago
8

On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change. At 7:30 a

.m., the temperature was `-4`°F. By 7:32 a.m., the temperature was `45`°F. By 9:00 a.m. the same day, the temperature was `54`°F. By 9:27 a.m., the temperature was `-4`°F. How many degrees did the temperature change each minute from 9:00 to 9:27? Make sure to show whether the change was positive or negative.
Mathematics
1 answer:
pychu [463]2 years ago
4 0

The average rate of change between from 9:00 to 9:27 is 2.15°F increase per minute

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Let y represent the temperature at x time.

By 9:00 a.m. the same day, the temperature was 54°F. By 9:27 a.m., the temperature was -4°F

m = (-4 - 54)/27 minutes = -2.15

The average rate of change between from 9:00 to 9:27 is 2.15°F decrease per minute

Find out more on Linear equation at: brainly.com/question/14323743

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The given expression is

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2 years ago
what is the common ratio of the geometric sequence below? –96, 48, –24, 12, –6, ... a, -2 b,-1/2 c, 2 d, 1/2
marysya [2.9K]

Answer:

Option b is correct.

The common ratio for the given geometric sequence is; \frac{-1}{2}

Step-by-step explanation:

The given sequence is;  -96, 48 , -24, 12 , -6, .....

Since, given sequence is Geometric

Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)

In general we write geometric sequence as;

a , ar, ar^2, ar^3 , .....

where a be the first term and r is the common ratio.

On comparing the given sequence with general geometric sequence;

we get

a = -96                  ......[1]

ar = 48                   ......[2]

ar^2 = -24              .....[3]

and so on....        

To find the common ratio i.e, r;

Divide equation [2] by [1];

\frac{ar}{a} =\frac{48}{-96}

Simplify:

r = \frac{-1}{2}

Similarly,

by dividing the equation [3] by [2] we get;

\frac{ar^2}{ar} = \frac{-24}{48}

Simplify:

r = \frac{-1}{2}

As, you can see that the value of r is constant i.e, r= \frac{-1}{2} in the given sequence.

Therefore, the common ratio for the given geometric sequence is; r= \frac{-1}{2}


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3 years ago
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nlexa [21]

If both printers work together. Then the number of the pamphlets will be 20x in four hours.

<h3>What is Algebra?</h3>

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.

The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.

Let x be the number of the pamphlets are printed by the old printer in one hour.

Then the number of the pamphlets are printed by the new printer in one hour will be 4x.

Then if they work together, then the  number of the pamphlets in one hour will be 5x.

Then the number of the pamphlets in 4 hour will be

→ 5x × 4

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More about the Algebra link is given below.

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6 0
2 years ago
What is the equation of the line that passes through the point (-1, -7) and has a<br> slope of 2?
slava [35]

Answer:

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Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

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So, plug in the values to get the final equation y=2x-5.

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2 years ago
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