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Dafna1 [17]
3 years ago
15

Write a function rule for the relationship. the amount c of energy you burn and the time t you spend exercising, if you burn Cal

ories at a rate of 12 Cal/min
ct = 12

c = 12t

t = 12c

t= 12/c
Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

c= 12t

c is the amount of energy you burn, so it'll be the "solution" to the equation. Multiply 12 times the amount of time you spend exercising to find how much energy you'll burn.

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Can somebody help me solve 8^4v + 5 = 31 ?
bezimeni [28]
8^{4v}+5=31
minus 5 both sides
8^{4v}=26
take the log₈ of both sides
4v=log₈26
divide both sides by 4
v=(1/4)log₈28

if yo use calculator
go back
8^{4v}=26
take ln of both sides
4vln8=ln26
divide both sides by (4ln8)
v=(ln28)/(4ln8)
evaluate
v≈0.40061291017147

3 0
3 years ago
Solve for x, assuming a, b, and c are negative constants.<br><br> (ax + b)/c ≤ b
Rudik [331]
(ax + b)/c ≤ b

ax+b ≤ cb

ax ≤ cb - b

x ≤ (cb-b)/a
5 0
3 years ago
A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

7 0
3 years ago
A survey was conducted with 100 people. 20% said they liked Star Trek , 75% said they liked Star Wars, and 10% said they liked b
Roman55 [17]

Answer:

The probability is 1/4 or 25%

Step-by-step explanation:

Since 100% matches the 100 value, we can have the percentage as the number of people that actually likes a particular movie

This mean; 20 people liked star Trek, 75 people liked Star wars and 10 people liked both

Let the number of people that liked neither be x

Mathematically, we can have the sum as follows for the set notation;

100 = (75-10) + (20-10) + 10 + x

100 = 65 + 10 + 10 + x

100 = 85 + x

x = 100-85

x = 15

What this mean is that 15 persons liked neither

The probability of selecting a random that likes both movies is simply the number of people that liked both/total number of people on the survey

Mathematically, that will be 10/100 = 1/10

For the probability that likes neither, we have the number that liked neither as 15

So the probability of selecting someone from here is 15/100 = 3/20

Since we have or between both probabilities, we will need to add both

So, mathematically, we have it that;

3/20 + 1/10 = (3 + 2)/20 = 5/20 = 1/4 or simply 25%

4 0
2 years ago
A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour
sergiy2304 [10]

d1 = 51(t)

d2 = 71(8 - t)

d1 + d2 = 508

and now you just have to solve for t.

3 0
3 years ago
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