F(x) = 3x^2 + 6x - 5
g(x) = 4x^3 – 5x^2 + 6
Find (f +g) (c)
9514 1404 393
Answer:
4c^3 -2c^2 +6c +1
Step-by-step explanation:
We can substitute c for x either before or after we combine the functions.
(f +g)(c) = f(c) +g(c)
(f +g)(c) = (3c^2 +6c -5) +(4c^3 -5c^2 +6)
(f +g)(c) = 4c^3 +c^2(3-5) +6c +(-5+6) . . . . group like terms
(f +g)(c) = 4c^3 -2c^2 +6c +1
The perimeter of a rectangular field is 580 yards. The length is 30 yards more than the width. Find the length and width of the field (in yards).
2 L + 2 W = 580
W = L - 30
2( L - 30) + 2 L =580
2L - 60 + 2 L =580
4 L = 640
L = 160
W = 160-30= 130
160 × 2 + 130 × 2 = 580
What is the total area? Use 3 for Pi.
answer fast pls!!! <3
Answer:
total area = 217 m³
Step-by-step explanation:
area of the triangle
= 14 × 10
= 140 m²
area of a semicircle
= 1/2 × 22/7 × 7 × 7
= 77 m²
total area
= 140 + 77
= 217 m³
please help me please
Answer:
1. 13
2.9
jauwiwiwijqiwiw9q9qiwsb sorry can't do step bu step way tooooooooo long
help pls ! ASAP
Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
6 milk bottles, 1 banana peel, 4 newspapers, 4 soda cans, 5 apple cores
A.
40%
B.
14%
C.
100%
D.
70%
Answer:
i think its 70 percent
Step-by-step explanation:
what's the diameter plz help
what is an equation that requires only one step to solve one operation called?
Answer
algebraic equation
Step-by-step explanation:
Find the slope of the line that contains the following pair of points: (1, 2), (5,2).
O A. - 1
O B. o
O C. 4
OD. Undefined
Answer:
The answer is 0
Step-by-step explanation:
input into slope formula
The slope of the line is 0.
The correct option is (B).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Points from the graph (1, 2) and (5, 2).
So, the slope of line
= ( 2- 2) / (5 -1)
= 0 / 4
= 0
Hence, the slope of line is 0.
Learn more about slope here:
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) The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday life to a sample of 840 men 21 to 25 years of age. Scores range from 0 to 500; for example, someone with a score of 325 can determine the price of a meal from a menu. The mean score for these 840 young men was x⎯⎯⎯ = 272. We want to estimate the mean score μ in the population of all young men. Consider the NAEP sample as an SRS from a Normal population with standard deviation σ = 60. (a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution? (b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number? (c) What is the 95% confidence interval for the population mean score μ based on this one sample? Note: Use the 68-95-99.7 rule to find the interval.
Answer:
a) The standard deviation of this sampling distribution is 2.07.
b) The missing number is 4.14.
c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.
Step-by-step explanation:
To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
[tex]\mu = 272, n = 840, \sigma = 60[/tex]
(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?
Using the Central Limit Theorem:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07[/tex]
The standard deviation of this sampling distribution is 2.07.
(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?
Within 2 standard deviations of the mean.
So, 2*2.07 = 4.14
The missing number is 4.14.
(c) What is the 95% confidence interval for the population mean score μ based on this one sample?
Within 4.14 of the mean
272 - 4.14 = 267.86
272 + 4.14 = 276.14
The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.
There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE.
How many students are enrolled in PE?
Answer:
525
Step-by-step explanation:
multiply 1250 by the decimal form of the percentage (42% turns to .42)
Determine the solution to the system of equations {4x+15y=40
-8x-5y=20}
And write your solution as an ordered pair.
Step-by-step explanation:
4x+15y= 40-5y= 20
= 4x+15y+5y= 40-20
4x+20y= 20
HELP FAST WILL MARK BRAINLYIST
Answer:
c
Step-by-step explanation:
Help help help help help
Answer:
B) 7.5% decrease
Step-by-step explanation:
(11,100 - 12,000) / 12,000 = -9/120 or -3/40, which is -0.075
calculate the quotient of 286 and 11
The quotient for 286 and 11 is 26.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
286 ÷ 11
This can be written as,
11 ) 286 ( 26
286
0
This means,
The quotient is 26.
Thus,
The quotient is 26.
Learn more about expressions here:
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Please Help Me Asapp
The answer for the first question is s-14=25.
The answer for the second question is 4000+p=4375
2 Evaluate the following expression whenx = 2.
2+7x+2
A. 24
B. 22
C. 10
D. 9
Answer:
a is the answer bye bye hope that helps you
A line passes through the point (8,-6) and has a slope of 3/2
Write an equation in slope-intercept form for this line.
Answer:
y = 3/2x - 18
Step-by-step explanation:
y = mx + b
-6 = 3/2(8) + b
-6 = 12 + b
b = -18
Do 9a, 9b, 9c please quick due in 5 minutes also pleaseeee show step by step thanks I will mark brainlest and give extra points people please
Step-by-step explanation:
The answer to 9a is that A and B have to be on the right side of the number line but A has to be greater than B.
The first and second box for 9c is > .
The table shows the distance 4 people swam. Who swam a greater distance than Milo
Answer:
Lorrie and karrie
Step-by-step explanation:
Question
Find the area of the shaded region of the figure shown below. Use 3.14 for n and round your answer to the nearest tenth
L-15
W-9
Saved
Autocracies have rules along with a court system and free press
Question 5 options:
True
False
Answer:
True
Step-by-step explanation:
if you need help with math go to cymath hoped i helped :>
Answer:
Can I get a brainliest- and also that so nice!!✨
Construct a triangle with side lengths 6,6 and 6. what are the angle measures of a triangle
Answer:
60 degrees
Step-by-step explanation:
Hello! The side lengths of this triangle are all the same, so this is an equilateral triangle. These types of triangles have equal angles. A triangle equals 180 degrees so divide that by three. Each angle in this triangle is 60 degrees. Hope this helps :)
what is 3(t+2v) ?? Please and thank you
PLS HELP ITS URGENT!!!!!!!!!!!!!!!!! Pizza Guy pizza delivery time for a pizza is approximately normally distributed with a mean of 22 minutes and a standard deviation of 5. Pizza Guy guarantees delivery within 30 minutes or the pizza is free. What percent of customers will get a free pizza?
Answer:
I'm not positive since it's been a couple months but the answer is 95%
Step-by-step explanation:
30-22/5 = 1.6 with a z score of 0.9452 with a percentage of 94.52%
Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians ____ 6. Name the reference angle in both degrees and radians.
Answer:
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
[tex]\theta = \dfrac{l}{r}[/tex]
[tex]\theta = \dfrac{350}{4000}[/tex]
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
Words
a. Divide the difference
between 1,200 and 700 by 5
Answer:
100
Step-by-step explanation:
1,200 - 700 = 500
500/5 = 100
Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried
Three teachers buy prizes to put in the prize bin at school. Mrs. Maiers spends $7.68 on stickers.
Mr. Lang spends $11.52 on balloons. Mrs. Connor spends $17.64 on pencils.
Part A
Use the bar diagram to help find how much the teachers spend in all on the prizes.
A bar diagram with a bar labeled stickers, a bar labeled balloons, and bar labeled pencils that equal the total cost.
Enter your answer in the box.
Hi there! The answer to this problem would be 36.64$.
Step By Step:
So there is three teachers and they all brought something.
_____________________________________
| Mrs.Maiers | 7.68$ |
| Mr.Lang | 11.52$ |
| Mrs.Connor | 17.64$ |
______________________________________
Total Cost: 36.64
in the coordinate plane what is the length of the line segment that connects points at (4, -1) and (9, 7) round to the nearest tenth
PLEASE HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!! 0__________________________________________________________________0
Answer:
the answer is 9.4
Step-by-step explanation:
We get that formula is:
d=[tex]\sqrt{(9-4)^{2} +(7--1)^{2} }=\sqrt{89}=9.4339[/tex]
What is the constant and variable of 6a in algebra
Answer:
Constant is 6 and the variable is a