David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200. Part A: what is David's rate of pay?

Answer:

The nth term is given by: [tex]a_n = -9 + 3(n-1)[/tex]

The 30th term is 78.

Step-by-step explanation:

Arithmetic sequence:

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference between terms.

-9, -6, - 3,0

This means that [tex]a_1 = -9, r = -6 - (-9) = -6 + 9 = 3[/tex]. So

[tex]a_n = -9 + 3(n-1)[/tex]

30th term:

[tex]a_30 = -9 + 3(30-1) = -9 + 87 = 78[/tex]

The 30th term is 78.

Answer:

[tex]Rate = 9(t+1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 9x^2 - 2[/tex]

[tex]Interval = [1,t][/tex]

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [1,t][/tex]

So, we have:

[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]

Solve for f(t) and f(1)

[tex]f(t) = 9t^2 - 2[/tex]

[tex]f(1) = 9*1^2 - 2[/tex]

[tex]f(1) = 9 - 2[/tex]

[tex]f(1) = 7[/tex]

So, we have:

[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]

[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]

Factorize:

[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]

Apply difference of two squares

[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]

[tex]Rate = 9(t+1)[/tex]

answer:

they will never cross....

Answer:

x = 28

Step-by-step explanation:

(x + 18)° + (5x - 6)° = 180° (supplementary angles)

Solve for x

x + 18 + 5x - 6 = 180

Add like terms

6x + 12 = 180

6x = 180 - 12 (subtraction property of equality)

6x = 168

x = 168/6 (division property of equality)

x = 28

Answer:

x<3

Step-by-step explanation:

5x+12+3x<36

First subtract 12 from both sides.

5x+3x<24

Next combine like terms on the left side (5x and 3x)

8x<24

Next divide 8 from both sides

x<3

Step-by-step explanation:

you have to have some number for someone to solve it

Answer:

here you go I hope this helps:)

Answer:

we cant see the numbers in the picture

Answer:

2/3 * 1/3 = 2/9

Step-by-step explanation:

You see the top 2 lines being shaded which is 2/3's of the whole square.

The second shaded part only covers 1/3 of the whole square.

Thus, you multiply both parts to figure out the darkest shaded part!

Answer:

(7+5.5)m + 5.5(2)

Step-by-step explanation:

Given:

Equation;

7m + 5.5(2+m)

Find:

Equivalent way

Computation:

7m + 5.5(2+m)

7m + 11 + 5.5 m

12.5m + 11

Or

(7+5.5)m + 5.5(2)

Answer:

R = 0.8815 ;

y = 6.14679X + 2.33028 ;

14.624

Step-by-step explanation:

Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.

The regression line equation obtained by Plotting the values to generate a linear model is :

y = 6.147X + 2.330

With ;

Slope or gradient being 6.147

Intercept = 2.330

C.)

x = 2

y = 6.147X + 2.330

y = 6.147(2) + 2.330

y = 14.624

Answer:

Scars to Your Beautiful Analysis

Alessia Cara uses figurative language to emphasize that our differences are what makes us beautiful and we should embrace it. She personifies that the world has possibilities to change its opinions on people with differences by saying "the world could change it's heart".

Step-by-step explanation:

is this it?

Answer:

61

Step-by-step explanation:

90 divided by 36 is 2.5 add 10 to the 90 then multiply 10 by 2.5 you get 25 then add 25 to 36 witch gives u 61.  90/36=2.5x10=25+36=61

/ is for division. Hope it helps.

Step-by-step explanation:

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

Answer:

65 is the answer okkkkkk

Best of luck

Answer:

10.4

Step-by-step explanation:

So let's do the basic, adding. 5 kilometers on Saturday and 4 on part of Sunday. That's 9. So let's save that. Now for the meters. We know that there are 1000 meters in a kilometer. So add up 600 and 800. That gives you 1400 meters total. Now if we divide 1400 by 1000, we get 1.4. So that is how many kilometers he rode on Friday and and the other part of Sunday. SO now we just add everthing up. 9km+1.4km = 10.4, your answer

Answer:

£217.80

Step-by-step explanation:

198 increase 10% =

198 × (1 + 10%) = 198 × (1 + 0.1) = 217.8

Answer:  D) 10

============================================================

Explanation:

I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.

So,

DE = 2*(MN)

3x-2 = 2*(x+4)

3x-2 = 2x+8

3x-2x = 8+2

x = 10

Answer:

Step-by-step explanation:

Question 3

The triangle is right isosceles (45°)

The legs have equal length

Question 4

The figure is a square

The angle between sides 24 and 24 is the right angle

Your answer is:

V(n) = 30(0.95)^n

Why?

Well here is why!

Rate of decrease = 5%

Period, n = 10 days

Initial stock price = $30

Value of share price as a function of n:

Value, V(n)

Initial price = A

V(n) = Initial price(1 - rate)^n

V(n) = 30(1 - 0.05)^n

V(n) = 30(0.95)^n

Hope this helps if it did mark brainlist!

The statement that could be false on the interval is if x is greater than π/2

Given the function g(x)=√ 1−sin2x

We are to get the value of x that will make the function not exist. For the function not to exist, hence:

sin2x> 1

Solve the expression for x

2x > arcsin(1)

2x > π

x > π/2

This shows that the statement that could be false on the interval is if x is greater than π/2

Learn more here: https://brainly.com/question/18738481

Answer:

90x3

Step-by-step explanation:

Step-by-step explanation:

Rabbit/Snake= 4

Rabbit/Not snake= 18

Not rabbit/Snake= 11

Not rabbit/Not snake= 26

Total snake= 15 (from 4+11)

Total not snake= 44 (from 18+26)

Total rabbit= 22 (from 4+18)

Total not rabbit= 37 (from 11+26)

Total total= 118 (from all totals added together [15+44+22+37])

the correct answer is A) 10x + 30

Answer:

The answer is "10x+30"

Step-by-step explanation:

Answer:

mhm

Step-by-step explanation:

that is right

Answer:

bet power of 7

Step-by-step explanation:

I'm help you 2 cubed plus b times 4