Answer:
The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.
Step-by-step explanation:
The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
Robert's salary after working for n years can be determined using the equation
S = 5000n + 60000.
Hence, The slope is 5000,
this means that for each additional year Robert works at the company, he earns 5000 more dollars.
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f(x) = 3x2 – 4x – 1
g(x) = –2x + 5
Find: (gof)(x)
Answer:
[tex](g\circ f)(x)=-6x^2 +8x +7[/tex]
Step-by-step explanation:
The Composite Function
Given f(x) and g(x) real functions, the composite function, named (g\circ f)(x) is defined as:
[tex](g\circ f)(x)=g(f(x))[/tex]
For practical purposes, it's found by substituting f into g.
Given the functions:
[tex]f(x) = 3x^2 - 4x - 1[/tex]
[tex]g(x) = -2x + 5[/tex]
We need to find
[tex](g\circ f)(x)=g(f(x))[/tex]
Replace f into g:
[tex](g\circ f)(x)=-2(3x^2 - 4x - 1) + 5[/tex]
Operating:
[tex](g\circ f)(x)=-6x^2 +8x +2 + 5[/tex]
Reducing:
[tex](g\circ f)(x)=-6x^2 +8x +7[/tex]
Thus,
[tex]\boxed{(g\circ f)(x)=-6x^2 +8x +7}[/tex]
AC Sports also manufactures tennis balls. It sells these in sets of three. The tennis
ball container is cylindrical with a radius of 3 inches and a height of 8.5 inches. The
marketing department is planning to create a new label to wrap around the container
and hopefully increase sales. Approximately how much space is there for a label that
wraps around the container?
Answer:
about 216.77 inches of space
Step-by-step explanation:
2πrh+2πr²
2π(3)(8.5)+2π(3)²
2π25.5+2π9
51π+18π
216.769893
about 216.77 inches of space
What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
Answer:
-2,-3
Step-by-step explanation:
escribe el número igaul a 5 decenas y 13 unidades
Answer:
63
Step-by-step explanation:
Solve the following 3x + 7 = 2x + 13 over 3
Answer:
3x+7=2x+13 over 3
3 (3x )+3 (7)=2x +13 over 3×3
9x+21=2x +13
9x- 2x=13-21
7x=-8
x=8/7
Step-by-step explanation:
Step 1:Multiply both sides by the denominator
Step 3:Group like terms
Step 5: Divide both sides to find for x
Jessica, Sarah, and Vincent are following music in Mr. Arnold's class. Jessica is playing the
triangle on every second beat. Sarah is playing the cymbals on every fourth beat. Vincent is
playing the tambourine on every seventh beat. On what beat will all three students all play
their instruments at the same time.
Answer:
28 beats?
Step-by-step explanation: i think you have to do LCM of 2,4 and 7
ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize
Answer:
0.98
Step-by-step explanation:
Prob (Ball target & prize ) = 0.74
Prob (Ball no target & no prize) = 1 - 0.74 = 0.26
Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)
= 1 - (0.26)^3
= 1 - 0.017576
= 0.982424
(6-x3)5=45 Please help
To win at Lotto in a certain state, one must correctly select 6 numbers from a Corbin of 52 numbers (one through 52). The order in which the selecting is made does not matter. How many different selections are possible?
Answer:
the answer is ... look down below
Step-by-step explanation:
52 divided by 6 equals 8.66
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
what are the slopes of the two lines?
green has two yellow dots.
Answer:
-7(1/7) = -1
Step-by-step explanation:
division 6=7??????????
Ed and Suzie went out to eat at Pizzeria. The dinner check was $24.00. They left a tip of $4.32. What percent of the check was the tip?
Answer:
18%
Step-by-step explanation:
24-18% is 19.68 which means it took away $4.32.
Please answer quickly I really need this answer
Answer:
The answer is 10
the school library had a used book sale. paperbacks were $2 each and hardcover books were $3 each. there were 54 paperbacks and 163 hardcover books sold.
Please help me, I have no idea how to do this we need to use BEDMAS to solve this. Can anyone help?
Answer:
Total money made is $597, $489 from hardbacks and $108 from paperbacks.
Step-by-step explanation:
$3 x 163= $489
$2 x 54= $108
total $= 3(163)+2(54)
total $= 489 + 108
total $ = 597
The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.
Answer:
The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Step-by-step explanation:
Data: 14.25, 13.7, 14.02, 14.13, 13.99, 14.0
Mean = [tex]\frac{Sum}{n}=14.015[/tex]
Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]
Claim : Average number of fluid ounces in the cup should be 14.
Null hypothesis : [tex]H_0:\mu = 14[/tex]
Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]
n = 6
[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]
t critical > t calculated
So, we failed to reject null hypothesis
So, Option B is true
Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Simplest form of 14/63
Answer:
2/9
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
I mark as brainliest
Answer:
The answer is D
Step-by-step explanation:
you might get confused with A but its D because D is separating 4 + 3 from 3 wich we are multiplying and A is not. so the answer is D
a horizontal line , such as y=4, has a slope of what
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope
g Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Complete question is;
In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher at ODU decides to randomly sample 15 female college students. Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Answer:
σ = 1.77
Step-by-step explanation:
We are told that 70% stated that they plan to graduate with a STEM degree.
This means that probability of success is; p = 70% = 0.7
A sample of 15 female college students were randomly selected, this means that number of trials is;
n = 15
Now,in binomial distribution formula for standard deviation is;
σ = √(np(1 - p))
Plugging in the relevant values, we have;
σ = √(15 × 0.7 × (1 - 0.7))
σ = √(15 × 0.7 × 0.3)
σ = √3.15
σ ≈ 1.77
Carrie has $500 in her bank account. She plans to add $245 a week to her account. Jose has $710 in his bank account. He plans to add $230 a week. How many weeks will it take untill carrie & jose have an equal ammount of money saved up is neither of them spent any of their savings?
Answer:
14 weeks
Step-by-step explanation:
14 times 245= 3430+ 500=3930 (carrie)
14 times 230= 3220+ 710= 3930 (jose)
Find the value of ×
[tex]3x + 2(x - 4) = 14[/tex]
Answer:
x = 22/5
Step-by-step explanation:
3x+2(x-4) = 14
Distribute
3x+2x -8 = 14
5x - 8 = 14
Add 8 to each side
5x-8+8 = 14+8
5x = 22
Divide by 5
5x/5 = 22/5
x = 22/5
Last week, Tanya had $43 in her checking
account. She deposited $50 and wrote a check
for $92. How much money is left in her account?
Answer:
She would have $1 left in her account.
Step-by-step explanation:
43 + 50 = 93
93 - 92 = 1
Hope this helps..?
Answer:
$1
Step-by-step explanation:
We start off with $43.
Tanya deposits $50 to her account.
50+43=93.
She has $93 now.
She writes a check for $92.
93-92=1.
Man, Tanya is broke no cap.
Kevin's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 8 dollars per pound. Kevin has 80 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Kevin purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is _____________________
Answer:
5x+8y≤80
Step-by-step explanation:
trust me ;)
Answer:
5x+8y< 80
Step-by-step explanation:
The total amount should be less than 80 or equal to
A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen
Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
What is 6√2⋅√11−2√22 expressed in simplified form?
Hope this help you!!! :))
m. 2.7(2x + 3) –4.6 n. 2 3 (12 + 15z) – 4 1 2 z o. 9 10 + 1 4 ( 2 3 v+ 2 5 )–1
Answer:
go on
Step-by-step explanation:
math,way, ., com
Jeannine puts 10% of her paycheck into a savings account. If she makes $500 each week,
how much does she put in her savings account each week?
Answer:
$50
Step-by-step explanation:
Please look at the pic and help it got marked wrong
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256