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3 years ago

Solve for y: 4y = 32 A. y = 4 B. y = 6 C. y = 8 D. y = 9

Mathematics

2 answers:

tankabanditka [31]3 years ago

8 0

Answer:

Step-by-step explanation:

I am Lyosha [343]3 years ago

6 0

Answer:

Step-by-step explanation:

4y=32

Taking 4 to the other side

y=32/4

y=8

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Which number is a perfect cube? 5, 100, 125, 150

KATRIN_1 [288]

Answer:

125

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the function r that satisfies the given condition. r'(t) = (e^t, sin t, sec^2 t): r(0) = (2, 2, 2) r(t) = ()

lesantik [10]

Answer:

r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2)

Step-by-step explanation:

A primitive of e^t is e^t+c, since r(0) has 2 in its first cooridnate, then

e^0+c = 2

1+c = 2

c = 1

Thus, the first coordinate of r(t) is e^t + 1.

A primitive of sin(t) is -cos(t) + c (remember that the derivate of cos(t) is -sin(t)). SInce r(0) in its second coordinate is 2, then

-cos(0)+c = 2

-1+c = 2

c = 3

Therefore, in the second coordinate r(t) is equal to -cos(t)+3.

Now, lets see the last coordinate.

A primitive of sec²(t) is tan(t)+c (you can check this by derivating tan(t) = sin(t)/cos(t) using the divition rule and the property that cos²(t)+sin²(t) = 1 for all t). Since in its third coordinate r(0) is also 2, then we have that

2 = tan(0)+c = sin(0)/cos(0) + c = 0/1 + c = 0

Thus, c = 2

As a consecuence, the third coordinate of r(t) is tan(t) + 2.

As a result, r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2).

6 0

3 years ago

Lucia flips a coin three times. What is the probability she gets (Head, tail, Head) in that order?

Svetach [21]

Answer: $\dfrac{1}{8}$

Step-by-step explanation:

The total outcomes of tossing a coin = 2

The total number of possible outcomes of flipping coin three times =2 x 2 x 2 = 8

Favorable outcome= (Head, tail, Head) in order

i.e. Number of Favorable outcomes = 1

We know that , Probability = $\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Therefore , The required probability $=\dfrac{1}{8}$

Hence , the probability she gets (Head, tail, Head) in that order $=\dfrac{1}{8}$

8 0

3 years ago

Damon buys lumber worth $562. He gets a 20% contractors discount. The sales tax is 6%. His credit card gives him 2% off. How muc

Zanzabum

Answer:

$467.05

Step-by-step explanation:

By getting a discount of 20%, it means he pays 100-20=80% of the initial price

80% is same as 0.8

Price after discount will be

0.8*$562=$449.6

Taxation is then subjected to the discounted price. With tax rate of 6% which is equivalent to 0.06 then the total prive incurres will be 106% of the discounted price, same as 1.06

Final price inclusive of tax

1.06*$449.6=$476.576

Since his credit gives 2% discount of everytging then he only pays 98% of the price inclusive of tax

Payable amount

0.98*476.576=467.04448

Rounded off as $467.05

8 0

2 years ago

Find the amount accumulated if $10000 is invested for 5 years at a rate of 5.9% compunded monthly.

Harman [31]

The Answer: A = $ 13,421.56

Formula A=P(1 + r/n)^(nt) A=10000(1+0.059/12)^(12(5)) = $ 13,421.56

V = the future value of the investmentP = the principal investment amountr = the annual interest raten = the number of times that interest is compounded per yeart = the number of years the money is invested for

4 0

2 years ago