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3 years ago

15

Select all that justify the following statement. 8•1/8+(-1)+5=5

2 answers:

Lisa [10]3 years ago

7 0

The statments that justify this eqaution would be:

inverse - addition

inverse - multiplication

Ulleksa [173]3 years ago

7 0

Answer:

Option A, F and G are correct.

Step-by-step explanation:

Given the expression

$8.\frac{1}{8}+(-1)+5=5$

We have to select the statement that justify the above expression.

LHS is

$8.\frac{1}{8}+(-1)+5$

$\text{Here, }\frac{1}{8} \text{is the inverse of 8 which is to be multiplied}$

∴ inverse-muliplication

Now, there are 3 terms

1+(-1)+5 which is to be solved

Now, first two are to be added i.e

Associative-addition and commutative-addition takes place.

Hence, option A, F and G are correct.

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1/9,1/3,5/9 find the rule

anastassius [24]

It’s going up by 2/9 . if you did it for the first one it’d b 3/9 which is 1/3

3 0

4 years ago

Volumes of the solids with disk or shell method?

lina2011 [118]

The answer to the questions of volumes are given as follows

a) $v=128 \pi$

b) $v=\frac{128}{3} \pi$

c) $v=\frac{1024}{5} \pi$

d) $V=\frac{13568}{15} \pi$

Generally, the questions are mathematically solved below

$y=\sqrt{x}, y=4, x=0$

a) x-axis

if $y=4, x=16, x=0$

Using disk method

$} v=\pi \int_{0}^{16}(\sqrt{x})^{2} d x \\$

$v=\pi\left(\frac{x^{2}}{2}\right)_{0}^{16} \\$

$v=\frac{\pi}{2} \times 16 \times 16 \\$

$v=128 \pi$

b) line y=4

if x=0, y=0 ;

$y=\sqrt{x} \Rightarrow x=y^{2}$

Using shell method

$v = \int_{0}^{4} 2 \pi(4-y) \cdot y^{2} d y \\$

$v=2 \pi \int_{0}^{4}\left(4 y^{2}-y^{3}\right) d y$

$v=2 \pi\left[\frac{4 y^{3}}{3}-\frac{y^{4}}{4}\right]_{0}^{4} \\$

$v=\frac{2 \pi}{12}[1024-768] \\$

$v=\frac{512 \pi}{12} \\$

$v=\frac{128}{3} \pi$

c) y-axis

0 ≤ y ≤ 4

x=y^2

Using disk method

volume

$v=\pi \int_{0}^{4} y^{4} d y$$

$v=\pi\left(\frac{y 5}{5}\right)_{0}^{4} \\$

$v=\frac{1024}{5} \pi$

d) line x=-1

y=√x, y=4, x=0

0 ≤ x ≤ 6

Using shell method

volume is

$V=\int_{0}^{16} 2 \pi(1+x) \sqrt{x} d x$$

$V=2 \pi\int_{0}^{16}(x^{1 / 2}+x^{3 / 2}\right) )d x\right. \\$

$V=2 \pi\left[\frac{x^{3 / 2}}{3 / 2}+\frac{x^{5 / 2}}{5 / 2}\right]_{0}^{16} \\$

$V=2 \pi\left[2 / 3 \cdot\left(4^{2}\right)^{3 / 2}+2 / 5\left(4^{2}\right)^{5 / 2}\right] \\$

$V=4 \pi / 3 \cdot 4^{3}+4 \pi / 5 \cdot 4^{5} \\$

$V=4 \pi\left(\frac{1}{3}+\frac{4^{2}}{5}\right)$

$V=\frac{256}{15}(5+48) \pi \\$

$V=\frac{256 \times 53}{15} \pi \\$

$V=\frac{13568}{15} \pi$

Read more about volumes

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8 0

2 years ago

If f(x) = 4x - 3, what is (f^-1 o f)(10)?

RSB [31]

F(x)=(4x-3)^-1(10))
(-4x+3(10))
(-4x(30))
i think that's how you would solve it i can't quite remember if you substitute the x with the 10 but if you do it would be
f(x)=4(10)-3
40-3
37
but im pretty sure it's the first way.

6 0

4 years ago

Could someone please help answer this, thank you, will give brainliest, please no spam, Homework help!

Zinaida [17]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Here's the solution :

slope of the line is equal to :

$\dfrac{y_2 - y_1}{x_2 - x_1}$

$\dfrac{4 - 1}{0 - ( - 1)}$

$\dfrac{3}{1}$

$3$

slope of given line = 3

7 0

3 years ago

Read 2 more answers

Simplify each expression <br> 1. -9(n-3)<br> 2. -10(9n+3)-8<br><br> Show work please

Darina [25.2K]

1. -9 need to multiple to both number
-9 X n= -9n -9 X -3 = 21
-9n + 21

2. -10 X 9n = -90n -10 X 3 = -30
-90n - 30 - 8
-90n - 38
Hope that helps

3 0

4 years ago