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3 years ago

Solve using synthetic division. (x2 + 3) ÷ (x − 1)

Mathematics

1 answer:

murzikaleks [220]3 years ago

3 0

Answer:

2x+3 / x = 1

Step-by-step explanation:

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When a number is increased by 5% the result is 25 what is the original number to the nearest 10th

lbvjy [14]

The original number to the nearest tenth is 23.8

3 0

3 years ago

1 Point

I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

<em><u>Ratio for the volumes of two cylinders</u></em>

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$

Substituting we get,

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}$

Hence, the ratio of volume of two cylinders is 8 : 27

7 0

3 years ago

an electrician charges $55 per hour of electrical work plus a flat fee of 25$ as a service charge . if a customer's bill 190 whi

zhenek [66]

Answer:

$\large \boxed{\text{A. 3.0 h}}$

Step-by-step explanation:

The bill = $190

Less flat fee = 25

Work done = $165

$\text{Hours worked} = \$165 \times \dfrac{\text{1 h}}{\$55} = \textbf{3.0 h}\\\\\text{The electrician was on the job for $\large \boxed{\textbf{3.0 h}}$}$

7 0

3 years ago

Solve for x with work

Nuetrik [128]

Answer:

47 degrees

Step-by-step explanation:

The two angles shown are "vertical angles" and thus are equal.

Thus, 2x + 3 = x + 50

Combining like terms, we get:

x = 47 degrees

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3 years ago

5 to the power of 7 divided by 5 times 5 to the power of 3

gayaneshka [121]

You have to do the integers first. 5 to the 7th power is 78,125. 5 to the 3rd power is 75. Now you have to divide 78,125 by 5. It would be 15,625. Now you have to multiply 15,625 by 75 to get 1,171,865.

4 0

3 years ago