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3 years ago

Need help please answer

Mathematics

1 answer:

Nata [24]3 years ago

6 0

Answer:

$\frac{3}{16}$

Step-by-step explanation:

To find the volume of a rectangular prism, just multiply all 3 sides together.

$\frac{3}{4}*\frac{1}{2} *\frac{1}{2}=\frac{3}{16}$

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I need help please please

miv72 [106K]

Answer:

The value of x is 7.

Step-by-step explanation:

First, you have to make the left side into 1 fraction by making the denormintor the same and make it into simplest form :

$\frac{x}{3} + \frac{x}{6}$

$= \frac{x \times 2}{3 \times 2} + \frac{x}{6}$

$= \frac{2x}{6} + \frac{x}{6}$

$= \frac{2x + x}{6}$

$= \frac{3x}{6}$

$= \frac{x}{2}$

Next you have to multiply both sides by 2 in order to make x the subject :

$\frac{x}{2} = \frac{7}{2}$

$\frac{x}{2} \times 2 = \frac{7}{2} \times 2$

$x = 7$

5 0

3 years ago

Y=3x-1 Help pleaseeeeee

nata0808 [166]

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

3 0

3 years ago

Find the volume and surface area of the composite figure. Give your answer in terms of π.

irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

Volume:

For volume

r = 6 cm

h = 8 cm

$Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3$

Surface Area:

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

$l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2$

Hence the first option is correct ..

3 0

3 years ago

Can you help with these two questions?

Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is $y=a(b)^{x}$ , where

a is the initial amount (y at x = 0)
b is the growth/decay factor
b = 1 + r, where r is the rate of growth
b = 1 - r, where r is the rate of decay

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ $y=500(0.89)^{10}$

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ $y=140212(1.025)^{40}$

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0

3 years ago

Select all statements that are true about the graph of ordered pair (5, −1) . The point is 5 units below the x-axis. The point i

seropon [69]

The -1 means that y = -1, so point is one unit below the x-axis. In (5, -1), the x is positive, which could put the point in either the first quadrant or the fourth. With the y being negative, however, it means that the point is in the fourth quadrant. Those are your 2 true statements.

8 0

3 years ago

Read 2 more answers