All categories

3 years ago

How do I do this? Please explain

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

Answer:

$\frac{1}{16}$

Step-by-step explanation:

With a negative fractional exponent place a 1 over the positive value

$\frac{1}{ {8}^{ \frac{4}{3} } }$

rewrite 8 as

$( {2}^{3} ) ^{ \frac{4}{3} }$

apply the power rule and multiply the exponents.

cancel the common factor of 3

rewrite the expression

$\frac{1}{ {2}^{4} }$

raise 2 to the power of 4 which =16

so the answer is

$\frac{1}{16}$

You might be interested in

Triangle DEF has coordinates D(1,1). E(1,5), and F(5.1). Triangle D'EF is the image of ADEF by a dilation with center (0.0) and

Nastasia [14]

Answer:

$2282 \div 2 = < \leqslant 2 \times \frac{?}{?} {?}^{?} \sqrt{226 \tan( \cot(?) ) }$

5 0

3 years ago

William and his three friends went out for lunch. The bill was $34 and they left a 15% tip. They want to split the bill equally.

slavikrds [6]

Answer:

Each person will pay $9.78

Step-by-step explanation:

Given that:

Amount of bill = $34

Tip = 15%

Amount of tip = $\frac{15}{100}*34$

Amount of tip = 0.15 * 34

Amount of tip = $5.10

Amount after bill = 34 + 5.10 = $39.10

Number of people = William + three friends = 4

Per person share = $\frac{39.10}{4}$

Per person share = $9.775

Rounded to two decimal places

Per person share = $9.78

Hence,

Each person will pay $9.78

8 0

3 years ago

Write in exponent form 85

Nataly [62]

We are given 85

Firstly, we will find all possible factors of 85

we can write it as

$85=1*5*17$

so, exponential form is

$85=5^1*17^1$ ................Answer

4 0

3 years ago

The sides of a square are 12 feet long. Find the new side<br> length after it is increased by 40%.

djyliett [7]

Answer:

16.80 ft long

Step-by-step explanation:

8 0

2 years ago

compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.

Nina [5.8K]

$\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})$

We have been given two vectors $\vec{a}$ and $\vec{b}$ , we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of $\vec{b}$ onto $\vec{a}$ means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

#SPJ4

3 0

1 year ago