The pay-scale for Pedro's stores is based on the education level of his employees. The education levels are shown for the employees at his two stores. Which matrix correctly displays the total number of employees for the two stores based on their education levels?

Answers

Answer 1

Answer:

The total of the two matrices is found by adding corresponding elements:

$\left[\begin{array}{cc}5+2&3+3\n22+17&15+27\n13+15&12+18\end{array}\right] =\left[\begin{array}{cc}7&6\n39&42\n28&30\end{array}\right]$

This matches selection A.

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75 over 100 simplified

What is LK rounded to the nearest hundredth? show work if you canAlso what is JK TO THE nearest hundredth? show work if you can

Answers

LK is actually the opposite side. What you've also been given is the length of the hypotenuse and an angle (20 degrees).

We know that:

sin(β)=Opposite/Hypotenuse=O/H

This is because of the famous:

SOH CAH TOA

-----

We can solve the problem by writing down:

sin(20)=LK/8.5

This means that:

LK = 8.5 * sin(20)

LK = 2.91 metres (to 2 decimal places)

Given the function f ( x ) = − 1 x + 3 x 4 , f(x)=− x 1 + 4 3 x , find f ′ ( 4 ) . f ′ (4). Express your answer as a single fraction in simplest form.

Answers

Step-by-step explanation:

The question is not well written. Let us say the function given as expressed as;

f(x) = -1/x + 3/x⁴

f'(x) means we are to differentiate the function with respect to x;

Given f(x) = axⁿ

f'(x) = naxⁿ⁻¹

f(x) = -x⁻¹ + 3x⁻⁴

Applying the differentiation formula we will have;

f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹

f'(x) = x⁻²-12x⁻⁵

Express as a fraction

f'(x) = 1/x²-12/x⁵

To get f'(4), we will have to substitute x = 4 into the resulting expression

f'(4) = 1/4²-12/4(5)

f'(4) = 1/16-12/20

f'(4) = 1/16-3/5

Find the LCM

f'(4) = (5-48)/80

f'(4) = -43/80

Note that the function used was assumed but the same method can be employed to any other functions.

Please help! Asap! (Photo)

Answers

Answer: 1 true 2 false

Step-by-step explanation: Sorry I’m kinda rusty if you get it wrong

4a²+4a x a²-5a
a²-25 8a

Answers

(4a^2 + 4a)/(a^2-25) x (a^2-5a)/8a
Factor the possible ones to be easier
[4a(a+1)]/[(a-5)(a+5)] x [a(a-5)/8a]
Cancel the a-5
[4a(a+1)]/[a+5)] x a/8a
cancel the 4a and 8a(8a becames 2)
[a+1]/[a+5] x a/2
now multiply
[a(a+1)]/[2(a+5)]<---- can be the answer or:
(a^2+a)/(2a+10)

How can i simplify √320x³

Answers

Answer:

8x * sqrt(5x)

Step-by-step explanation:

Factor 320 into its prime factors: (2^6) * 5

To simplify sqrt we extract factors which are squares and the rest remain inside the root: (2^6) will be extracted (2^6=64) and 5 will remain inside

Take sqrt of factors being extracted: sqrt64= 8

Now it looks like this: 8 * sqrt(5x^3)

SQRT(x^3) is the same as x * SQRT(x)

Therefore, sqrt (320x^3)= 8x*sqrt(5x)

Factor completely: x^2 + 11x + 24Prime
(x + 12)(x + 2)
(x + 3)(x + 8)
(x + 24)(x + 1)

Answers

two numbers if you multiple them give you 24
and if you add them gives 11
so the numbers are 3, 8
(x+3)(x+8)