Can someone help me plz (-5x^4y^2)^3

1 answer:

5 0

(-5x⁴y²)³

To avoid confusion, we can separate each variable and raise it to the 3rd power.

-5³ * (x⁴)³ * (y²)³

-5³ = -5 * -5 * -5 = -125
(x⁴)³ = x⁴*³ = x¹²
(y²)³ = y²*³ = y⁶

(-5x⁴y²)³ = -125x¹²y⁶

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Find the projection of the vector A = î - 2ġ + k on the vector B = 4 i - 4ſ + 7k. 15. Given the vectors A = 2 i +3 ſ +6k and B =

Gwar [14]

Answer:

Part 1)

Projection of vector A on vector B equals 19 units

Part 2)

Projection of vector B' on vector A' equals 35 units

Step-by-step explanation:

For 2 vectors A and B the projection of A on B is given by the vector dot product of vector A and B

Given

$\overrightarrow{v_{a}}=\widehat{i}-2\widehat{j}+\widehat{k}$

Similarly vector B is written as

$\overrightarrow{v_{b}}=4\widehat{i}-4\widehat{j}+7\widehat{k}$

Thus the vector dot product of the 2 vectors is obtained as

$\overrightarrow{v_{a}}\cdot \overrightarrow{v_{b}}=(\widehat{i}-2\widehat{j}+\widehat{k})\cdot (4\widehat{i}-4\widehat{j}+7\widehat{k})\\\\\overrightarrow{v_{a}}\cdot \overrightarrow{v_{b}}=1\cdot 4+2\cdot 4+1\cdot 7=19$

Part 2)

Given vector A' as

$\overrightarrow{v_{a'}}=2\widehat{i}+3\widehat{j}+6\widehat{k}$

Similarly vector B' is written as

$\overrightarrow{v_{b'}}=\widehat{i}+5\widehat{j}+3\widehat{k}$

Thus the vector dot product of the 2 vectors is obtained as

$\overrightarrow{v_{b'}}\cdot \overrightarrow{v_{a'}}=(\widehat{i}+5\widehat{j}+3\widehat{k})\cdot (2\widehat{i}+3\widehat{j}+6\widehat{k})\\\\\overrightarrow{v_{a'}}\cdot \overrightarrow{v_{b'}}=1\cdot 2+5\cdot 3+3\cdot 6=35$

7 0

4 years ago

Lisa and bart spin the spinner 60 times

ladessa [460]

The question is not complete. It should read;
Lisa and Bart spin this spinner 60 times the result are below/ black=17 blue=15 orange=21 purple=7 a. What is the experimental probability of a spin of orange? B which color had an experimental probability that matched its theoretical probability

Answers
a) 0.35
b)Blue

Explanation
The probability of an event is its chance to occur.
Probability is found by the formula,

Probability = (Number of favourable outcome)/(Number of total outcome)

Part a
The orange are 21 and the total spins are 60.
Probability (orange) = 21/60
= 0.35

Part 2
The theoretical probability of blue is normally 25%.
By calculating the experimental probability of blue we get,
P(blue) = 15/60
= 1/4
In percentage
1/4×100 = 25%

So, the color that had an experimental probability that matched its theoretical probability is blue.

6 0

3 years ago

What is the equation of the line that passes through the point

Pavel [41]

bearing in mind that lines with an undefined slopes are vertical lines, Check the picture below.