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3 years ago

Simplify the expression distribute if necessary 4a + 7(2c - a)

Mathematics

2 answers:

TiliK225 [7]3 years ago

8 0

Answer:

-3a + 14c

Step-by-step explanation:

4a + 7(2c - a)

4a + 14c - 7a <- Distribute

-3a + 14c <- Add like terms

N76 [4]3 years ago

6 0

Answer:

-3a + 14c

Step-by-step explanation:

4a+7(2c-a)

4a + 14c - 7a

-3a + 14c

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A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

The Pythagorean Identity states that: (sin x)2 + (COS x)2 = 1 Given sin 0 = 3/5, find cos 0. cos 0= ?/? Simplify the fraction. E

Alex787 [66]

Answer:

cosθ = 4/5

Step-by-step explanation:

7 0

3 years ago

The sales tax in your state is 5% if a car costs $24,600 what is the total cost including tax?

Svetach [21]

<h2>Greetings!</h2>

Answer:

$25830

Step-by-step explanation:

If 100% of the car price is 24,600 , then you can imagine that extra 5% being added to this

100 + 5 = 105

So you need to find what 105% of the cost was.

To do this you can use the percentage formula:

Amount x $\frac{percentage}{100}$

Now, you can simply plug the values into this

24,600 x $\frac{105}{100}$

24600 x 1.05 = 25830

<h3>So the total cost including tax would be $25830!</h3><h3 /><h2>Hope this helps!</h2>

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3 years ago

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lisov135 [29]

Answer: sorry I don't get it but the answer for 16 is B sorry

Step-by-step explanation:

What do they teach you they are weird t doesn't make any sense

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3 years ago

Which rate has the same unit rate as 126 miles in 9 hours.

OLEGan [10]

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Step-by-step explanation:

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