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3 years ago

HELP PLEASE! WILL MARK U BRAIN-LIST

Mathematics

2 answers:

Semmy [17]3 years ago

7 0

Answer:

D. 10.20 cm

Step-by-step explanation:

faust18 [17]3 years ago

7 0

Choice D)10.20cm i hope that helps

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42x 5 y 4 =(−7x 3 y)(B)

gulaghasi [49]

This is my very own step-step solution:

Step 1:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

 42*x^5*y^4-((-7*x^3*y)*(b))=0
Step 2:Equation at the end of step 1 :

((42•(x5))•(y4))-((0-(7x3•y))•b) = 0

Step 3:Pulling out like terms :

42x5y4 + 7x3yb = 7x3y • (6x2y3 + b)

The correct is: 7x3y • (6x2y3 + b) = 0 

Quick Side Note:
Binomial can not be factored as the difference of two perfect cubes

I hope this helps a little!

Hope you have a great day!

4 0

3 years ago

Please show me step by step how to do this

riadik2000 [5.3K]

Answer:

You know that the beginning salary is $32,000, and it is raised by $1,000 per year.

a) We want to find a recursive relation, let's try to find a pattern:

S₁ = salary on the first year = $32,000

S₂ = salary on the second year = $32,000 + $1,000 = $33,000

S₃ = salary on the third year = $33,000 + $1,000 = $34,000

and so on.

We already can see that the recursive relation is: "the salary of the previous year plus $1,000", this can be written as:

Sₙ = Sₙ₋₁ + $1,000

Such that S₁ = $32,000

b) Your salary in the fifth year is S₅

Let's construct it:

S₃ = $34,000

S₄ = $34,000 + $1,000 = $35,000

S₅ = $35,000 + $1,000 = $36,000

Your salary on the fifth year is $36,000

c) When we have a recursive relation like:

Aₙ = Aₙ₋₁ + d

The sum of the first N elements is given by:

Sum(N) = N*(2*A₁ + (N - 1)*d)/2

Then the sum of your salary for the first 20 years is:

S(20) = 20*(2*$32,000 + (20 - 1)*$1,000)/2

S(20) = $830,000

6 0

3 years ago

Left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub. If it takes the hot water

mario62 [17]

Answer:

$\frac{15}{2}=7.5$ minutes.

Step-by-step explanation:

Let t represent time taken by cold water faucet in minutes to fill the tub.

Part of tub filled by cold water faucet in one minute would be $\frac{1}{t}$ .

We have been given that it takes the hot water faucet 15 minutes to fill the tub by itself, so art of tub filled by hot water faucet in one minute would be $\frac{1}{15}$ .

We are also told that left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub, so part of tub filled by both faucets in one minute would be $\frac{1}{5}$ .