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Yanka [14]
3 years ago
11

1 point

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

last option

Step-by-step explanation:

y + 3 = 2 ( x - 1 )

⇒ y + 3 = 2x - 2

⇒ y = 2x - 5

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g My Notes Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. Find
Arada [10]

Answer:

4,200 liters

Step-by-step explanation:

The flow rate is given by:

r(t) = 200 - 4t

Integrating the flow rate expression from t=0 to t=30 minutes, yields the total volume that flows out of the tank during that period:

\int\limits^{30}_0 {r(t)} = \int\limits^{30}_0 {(200 - 4t} )\, dt \\V=(200t - 2t^2)|_0^{30}\\V= (200*30 -2*30^2)-(200*0 -2*0^2)\\V=4,200\ liters

4,200 liters of water flow from the tank during the first 30 minutes.

3 0
3 years ago
How to do logarithmic equations
kaheart [24]

Answer:To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable. (it’s kind of the similar to regular equation)

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Roger bring 4 cakes for desert to the community potluck feast and powwow. His son brings 2 individual servings of dessert. Altog
TiliK225 [7]
y=\frac{x-2}{4}
x= the # of people at the feast
y= the # of pieces the cake must be cut

\frac{34-2}{4} =  \frac{32}{4} = 8



8 0
3 years ago
In how many ways can the letters in the word MATHEMATICS be reshuffled so that all consonants appear together?
steposvetlana [31]

Answer:

75600

Step-by-step explanation:

We are given that  a word MATHEMATICS

Total letters =11

M repeated 2 times

T repeated 2 times

A repeated 2 times

Total vowels=4

Let MTHMTCS=P

Total number of ways in which MTHMTCS can be arranged=\frac{7!}{2!2!}

PAEAI

Total number of ways in which PAEAI can arranged=\frac{5!}{2!}

Total number of arrangements when all consonant appear together=\frac{7!}{2!2!}\times \frac{5!}{2!}

Total number of arrangements when all consonant appear together=\frac{7!5!}{2\times 2\times 2}=\frac{7\times 6\times 5\times 4\times 3\times 2\times 1\times 5\times 4\times 3\times 2\times 1}{8}=75600

By using formula ;n!=n(n-1)(n-2)...2\times 1

4 0
3 years ago
Corey has 510 marbles he fills one jar with 165 marbles how many are not in the jar
Luba_88 [7]

Answer:

510-165=345.

Step-by-step explanation:

Well if you subtract 510-165 you would get 345. Therefore your answer would be " There are 345 marbles that are not in the jar."

4 0
3 years ago
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