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2 years ago

Zachary found a string of pearls

Mathematics

1 answer:

svetlana [45]2 years ago

7 0

Answer:

He has 8 1/4 or 8.25 pounds of pearls

Step-by-step explanation:

4 3/4 + 3 1/2

You change 3 1/2 to 3 2/4 and then add them normal and change the improper fraction to a mixed number.

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Austin's truck has a mass of 2000 kg when traveling at 22.0 m/s, it brakes to a stop in 4.0 s. show that the magnitude of the br

olga2289 [7]

Since F=m•a, you want to show that a = -5.5

5 0

3 years ago

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Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and

vova2212 [387]

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V1) and it is calculated using;

$V_1 = l * w * h$

$V_1 = lw h$

Since the pyramid has the same base area and height as the prism, the its dimension would be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V2) and it is calculated using;

$V_2 = \frac{1}{3}*(lwh)$

So, we have:

$V_1 = lw h$

$V_2 = \frac{1}{3}*(lwh)$

Substitute lwh for V1 in the second equation

$V_2 = \frac{1}{3}V_1$

Multiply both sides by 3

$3 * V_2 = \frac{1}{3}V_1 * 3$

$3 * V_2 = V_1$

Reorder

$V_1 = 3 * V_2$

$V_1 = 3 V_2$

Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid

3 0

3 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

3 years ago

The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?

Leona [35]

Answer:

$\large\boxed{V=2304\pi}$

Step-by-step explanation:

The formula of a surface area of a sphere:

$S.A.=4\pi R^2$

R - radius

We have

$S.A.=576\pi$

Substitute and solve for R:

$4\pi R^2=576\pi$ divide both sides by π

$4R^2=576$ divide both sides by 4

$R^2=144\to R=\sqrt{144}\\\\R=12$

The formula of a volume of a sphere:

$V+\dfrac{4}{3}\pi R^3$

Substitute:

$V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi$

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3 years ago

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Andreas93 [3]

Answer:

(6,1)

Step-by-step explanation:

(6,1)

4 0

3 years ago

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