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3 years ago

Write the expression as a single logarithm

Mathematics

1 answer:

Yakvenalex [24]3 years ago

4 0

$\log _a(6w+1)^{7} + \log _a(w+7)^{\frac{1}{5}} \\ \log _a(6w+1)^{7} + \log _a\sqrt[5]{(w+7)}\\\log _a((6w+1)^{7} (\sqrt[5]{(w+7)}))$

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Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a

Leto [7]

Answer:

2.45c + 1.65c = 4.12 + 0.75

Step-by-step explanation:

To write an equation to find the value for c, we need to declare what c is first.

c = price of fruit

2.45c + 1.65c = 4.12 + 0.75

Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.

Now to check if the equation is right, let's solve for c.

2.45c + 1.65c = 4.12 + 0.75

4.1c = 4.87

Now to get the value of c, we divide both sides of the equation by 4.1.

$\dfrac{4.1c}{4.1}=\dfrac{4.87}{4.1}$

c = 1.19

Now let's substitute the value of c in the equation to see if we got it right.

2.45(1.19) + 1.65(1.19) = 4.12 + 0.75

2.92 + 1.96 = 4.87

4.87 = 4.87

Therefore concluding that the value of c is 1.19.

7 0

4 years ago

The function s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237. Find the a

trapecia [35]

Answer:

29 is answer.

Step-by-step explanation:

Given that the function s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237.

To find average velocity of the object over the interval of time [1,3]

We know that derivative of s is velocity and antiderivative of velocity is position vector .

Since moving along a line equation of s is

use two point formula

$\frac{s-150}{237-150} =\frac{t-2}{5-2} \\s=29t-58+150\\s=29t+92$ gives the position at time t.

Average velocity in interval (1,3)

= $\frac{1}{3-1} (s(3)-s(1))\\=\frac{1}{2} [87+58-29-58]\\=29$

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4 years ago

What's 486.12 fraction

melisa1 [442]

486.12 as fraction is 12153/25
HOPE THIS HELPS

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4 years ago

At a local fair, 194 balloons are blown up. over the course of the day, 85 of them are given away to children and another 38 of

kaheart [24]

Answer:

Step-by-step explanation:

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4 years ago

Sylvia is considering investing in one of two bond packages offered to her by different brokers. Broker U suggests that Sylvia b

Aneli [31]

Thanks for your question, Broker U's package will cost her $156.02 less than broker V's.

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3 years ago

Read 2 more answers