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malfutka
11 days ago
13

A pie with a temperature of 140∘F is taken out of the oven and placed on a windowsill to cool. Its temperature as a function of

tminutes is given by
T(t)=68e−0.0174t+72

How long, to the closest minute, will it take for the pie to cool to
80∘F?
Mathematics
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If one termite can destroy 1.2mg of wood per day, how many kilograms of wood can 10 termites destroy in 1 week? *Can someone ple
AnnZ [12381]
A group of 10 termites is capable of damaging 0.000084kg of wood in one week.

For clarity, converting milligrams to kilograms yields: 1.2mg = (1.2 / 1,000,000)kg equals 0.0000012kg. Consequently, a single termite will consume 0.0000012kg daily. Therefore, 10 termites will demolish a total of: (0.0000012 × 10) kg per day, resulting in 0.000012kg. As there are 7 days in a week, the total destruction across the week is calculated as 10 termites' daily destruction multiplied by 7, which translates to 0.000012 × 7 = 0.000084kg per week.

5 0
2 months ago
Chelsea has 11 times as many art brushes as Monique. If they have 60 art brushes altogether, how many brushes does Chelsea have?
zzz [12365]
Let Monique have m brushes.
Chelsea then has <span>11m brushes because she has 11 times as many as Monique. Together they total 60 brushes, so we form the equation:

                                              m+11m=60.

Thus 12m=60, and dividing both sides by 12 gives m=5.

Chelsea has 11m=11*5=55 brushes.

Answer: 55</span>
7 0
2 months ago
The University of Central Florida's cheerleading team has eighteen males and twenty-one females. If h represents the height of a
Leona [12618]

Answer:

The range of cheerleaders' heights lies within the interval [58, 74)

It includes all real numbers from 58 inches and above, but below 74 inches.

Step-by-step explanation:

we have

260 \leq 4h+28

Separate the combined inequality into two distinct inequalities

260 \leq 4h+28 -----> inequality A

4h+28 -----> inequality B

Solve inequality A

260 \leq 4h+28

Subtract 28 from both sides

232 \leq 4h

Split by 4 on both sides

58 \leq h

Reformulate

h \geq 58\ in

Address inequality B

4h+28

Subtract 28 from both sides

4h

Split by 4 on both sides

h

consequently

The height range of the cheerleaders is the interval [58, 74)

It consists of every real number starting from 58 inches and less than 74 inches

3 0
3 months ago
Earyn owns French Twist Hair Salon. She charges $35 for a cut an $120 for a cut and color combo. Yesterday she had seven clients
Leona [12618]
35x + 120y = 500
I hope this makes sense
6 0
2 months ago
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