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3 years ago

Evaluate: xy+2x^2, if x=0.1 and y=9.8

Mathematics

2 answers:

shepuryov [24]3 years ago

6 0

Answer: 1

Step-by-step explanation:

$(0.1)(9.8)+2(0.1)^2\\0.98+0.02=1$

Elodia [21]3 years ago

4 0

Try Photomath! I always use the app for evaluating

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What is the common rule for simplifying a negative exponent with a coefficient?<br> Ex: 3^-1

rjkz [21]

Anything to a negative power becomes the inverse with the coefficient to a positive power.
For example, 3^-1 becomes 1/3^1 or just 1/3.
3^-2 would be 1/3^2 or 1/9.

3 0

3 years ago

Read 2 more answers

Points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and PQ is approximently = to RS . If

Aneli [31]

The value of QR for the given line will be 15 units.

<h3>What is a line segment?</h3>

A line section that can connect two places is referred to as a segment.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

In other terms, a line segment is merely a section of a larger, straight line that extends indefinitely in both directions.

Given,

PQ = RS

PR = 18

PS = 21

Now,

RS = PS - PR

RS = 21 - 18 = 3

So,

PQ = 3

Now,

QR = PR - PQ

QR = 18 - 3

QR = 15

Hence the value of QR will be 15 units.

For more about line segment

brainly.com/question/25727583

#SPJ1

4 0

2 years ago

Find the length of AC. Round your answer to two decimal places. A 10 in. b 40° C B a

stepladder [879]

Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:

$\sin{40^\circ} = \frac{b}{10}$

$b = 10 \times \sin{40^\circ}$

Using a calculator:

$b = 6.43$

More can be learned about relations in a right triangle at brainly.com/question/26396675

4 0

3 years ago

If you deposit $6000 into an account paying 6.5% annual interest compounded quarterly, how long until there is $12600 in the acc

grandymaker [24]

Use this formula:

K = K_0 * (1+r)^n

Insert and solve for n:

12600 = 6000 * (1+0.065)^n

n = 11.78

So about 12 quarters.

Hope that helped.

3 0

3 years ago

Since the area of the circle is I the area of the square, the

Dovator [93]

Answer:

(b)

$V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}]$ or $V_2 = \frac{1}{3}\pi r^2h$

Step-by-step explanation:

Given

$Ratio = \frac{\pi}{4}$

See attachment for complete question

Required

Determine the volume of the cone

The volume of a square pyramid is:

$V = \frac{a^2h}{3}$

Where

a = base dimension

From the attachment, the base dimension of the square pyramid is 2r.

So:

$a = 2r$

The volume becomes;

$V = \frac{(2r)^2h}{3}$

To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.

So, we have:

$V_2 = Ratio * V$

$V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}]$

$V_2 = \frac{\pi}{4} * \frac{(2r)^2h}{3}$

Open bracket;

$V_2 = \frac{\pi}{4} * \frac{4r^2h}{3}$

Cancel out 4

$V_2 = \pi * \frac{r^2h}{3}$

The above can be written as:

$V_2 = \frac{1}{3} * \pi r^2h$

$V_2 = \frac{1}{3}\pi r^2h$

So, we have:

$V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}]$

$V_2 = \frac{1}{3}\pi r^2h$

7 0

3 years ago