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3 years ago

Please answer!

Mathematics

2 answers:

musickatia [10]3 years ago

7 0

Answer:

the answer 20

Step-by-step explanation:

13 26 54

-----------------------------

20 40 80

you know 13(2=26 26(2= 54

you know 80/2=40 40/2=20

Digiron [165]3 years ago

4 0

26/40 = 13/x
26x = 520
x = 520/26
x = 20 <== ur answer

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Multiple-Choice Integration, Picture Included, Please Include Work

ValentinkaMS [17]

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx$

Recall that a circle of radius 2 centered at the origin has equation

$x^2+y^2=4\implies y=\pm\sqrt{4-x^2}$

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius $r$ is $\pi r^2$ , it follows that the area of a quarter-circle would be $\dfrac{\pi r^2}4$ .

You have $r=2$ , so the definite integral is equal to $\dfrac{2^2\pi}4=\pi$ .

Another way to verify this is to actually compute the integral. Let $x=2\sin u$ , so that $\mathrm dx=2\cos u\,\mathrm du$ . Now

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx=\int_0^{\pi/2}\sqrt{4-(2\sin u)^2}(2\cos u)\,\mathrm du=4\int_0^{\pi/2}\cos^2u\,\mathrm du$

Recall the half-angle identity for cosine:

$\cos^2u=\dfrac{1+\cos2u}2$

This means the integral is equivalent to

$\displaystyle2\int_0^{\pi/2}(1+\cos 2u)\,\mathrm du=2u+\sin2u\bigg|_{u=0}^{u=\pi/2}=\pi$

4 0

3 years ago

Which option is the best. Use math to support ur answer.

snow_tiger [21]

Answer:

The option A has the cheapest price of the liter, so it is the better buy.

Step-by-step explanation:

The best buy is going to be the one with the lowest liter price.

The liter price of each option can be found by a rule of three problem:

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

For each option, in this problem, the measures are:

- The number of liters bought

- The total cost

As the number of liters bought increases, so will the total cost. It means that the relationship between the measures is direct.

Option A:

2 liters - $1.29

1 liter - x

2x = 1.29

$x = \frac{1.29}{2}$

x = 0.645

In option A, each liter costs $0.645

Option B

A six pack of half a liter was bought. So in all, 3 liters were bought.

3 liters - $2.99

1 liter - x

3x = 2.99

$x = \frac{2.99}{3}$

x = $0.997

In option B, each liter costs $0.997

Option C

A 12 pack of half a 0.35 liter was bought. So in all, 4.2 liters were bought

4.2 liters - $3.50

1 liter - x

4.2x = 3.50

$x = \frac{3.5}{4.2}$

x = $0.8333

In option C, each liter costs $0.8333

The option A has the cheapest price of the liter, so it is the better buy.

7 0

3 years ago

There are 9,485 elementary school students in the surrounding cities. If there are 5 elementary schools and each school has the

kenny6666 [7]

1,897
9485/5=1897
Divide

8 0

4 years ago

Read 2 more answers

A scientist adds drops of liquid to a test tube. The test tube has marks every ml.

Anastasy [175]

Answer:

A scientist adds drops of liquid to a test tube. The test tube has marks every ml.

Each drop contains 0.14 mL. Between which two marks on the test tube will the

liquid be after the sixth drop is added?

a. 1/5 and 2/5, between 0.2 and 0.4 mL's

b.2/5 and 3/5, between 0.4 and 0.6 ml's

c.3/5 and 4/5, between 0.6 and 0.8 mL's

d. 4/5 and 5/5, between 0.8 and 1 ml

4 0

3 years ago

What's 380 divided by 40

Ksju [112]

The answer is 9.5
Hope it helps :-)

8 0

3 years ago