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grigory
3 days ago
15

Write a situation to represent the equation y = 0.5x.

Mathematics
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A chemist recorded the change in temperature of a cooling liquid as −25.5°F over a 1.5 minute period. The temperature fell at a
Leona [12618]
The temperature change rate is determined by taking the temperature difference in °F and dividing it by the time measured in minutes. Thus,
rate of change in temperature = -25.5°F / 1.5 min
= -17°F / min
Therefore, the temperature decreases at a rate of -17°F every minute. 
3 0
1 month ago
Read 2 more answers
A 16\dfrac1216 2 1 ​ 16, start fraction, 1, divided by, 2, end fraction kilometer stretch of road needs repairs. Workers can rep
lawyer [12517]

Answer:

The repair of the stretch of road will require

weeks to finish.7\frac{1}{3}

Step-by-step explanation:

Provided:

Length of the roads needing repair =

Length of the road workers can fix in a week = 16\frac{1}{2}\ km

To ascertain how many weeks it will take to mend this road stretch.2\frac{1}{4}\ km

Solution:

Worker's road repair rate =   per week.

Overall road length to repair =

2\frac{1}{4}\ km

The time required to repair 16\frac{1}{2}\ km

of road by the workers can be calculated: 16\frac{1}{2}\ km⇒

When dividing mixed numbers, we change them first into fractions.\frac{16\frac{1}{2}\ km}{2\frac{1}{4}\ km}

To compute fraction division, we take the reciprocal of the divisor and substitute division with multiplication:

⇒  \frac{\frac{33}{2}} {\frac{9}{4}}

We revert the fraction back into a mixed number.

Thus, it will take

weeks to complete the road repair task.\frac{33}{2}\times \frac{4}{9}

7 0
2 months ago
Scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what i
AnnZ [12381]
The highest 5% of scores corresponds to the 95th percentile, meaning the cutoff score k is defined as

\mathbb P(X

When transformed into the standard normal distribution,

\mathbb P(X

A cumulative probability of 95% corresponds to a z-score of approximately k^*=1.6449, indicating that the cutoff score is likely around

1.6449=\dfrac{k-76.4}{6.1}\implies k\approx86.4
5 0
3 months ago
Simplify the expression: (x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
lawyer [12517]

3x4-2x3-2x2+4x-10

Explication étape par étape:

Il suffit de regrouper les termes similaires.

7 0
1 month ago
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