What is the average rate of change of the function f(x) = 5x ^ 2 + 20x between x = 0 and x = 0.5
Answers
9514 1404 393
Answer:
22.5
Step-by-step explanation:
The average rate of change on the interval [a, b] is the ratio ...
(f(b) -f(x))/(b -a)
For your function and interval, it is ...
(f(0.5) -f(0))/(0.5 -0)
Since f(0) = 0, this reduces to ...
average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)
average rate of change = 22.5
Related Questions
Simplify the expression:
3(2+8p)
A. 6+24p
B. 30p
C. 3(10p)
D. 6p+24
Answers
Answer:
A. 6+24p
Step-by-step explanation:
=(3)(2+8p)
=(3)(2)+(3)(8p)
=6+24p
=24p+6
Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of 1,000
delivery orders and constructed a one-sample z interval to estimate the proportion of delivery orders that take
more than an hour to arrive. She decides to repeat this process, but this time she'll use a sample of 4,000 orders.
Assume that the point estimates from each sample are approximately equal.
What is true about the margins of error from these two samples?
The margin of error from the smaller sample will be about
select ratio v
the margin of error from the
larger sample.
Answers
Answer:
2 times
Step-by-step explanation:
Khan Academy
You can use the formula for margin of error and the fact that the point estimates of both the samples are same to calculate the ratio of margin of errors of both the samples.
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.
[tex]MOE_1 = 2 \times MOE_2[/tex]
How to calculate the margin of error for a given sample from a population?Let the level of significance be [tex]\alpha[/tex] and the standard deviation of the population be [tex]\sigma[/tex] and the sample size be n, then we have:
[tex]\text{MOE(Margin of Error)} = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex]
Using the above formula to calculate the margin of errors for two specified samplesFor first sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_1 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}[/tex]
For second sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_2 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}[/tex]
(since it was given that they have same point estimates, so same standard deviation)
Their ratios are given by
[tex]\dfrac{MOE_2}{MOE_1} = \dfrac{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}}{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}} = \sqrt{\dfrac{1000}{4000}} = \dfrac{1}{2}\\\\\\MOE_1 = 2 \times MOE_2[/tex]
Thus,
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.[tex]MOE_1 = 2 \times MOE_2[/tex]
Learn more about margin of error here:
https://brainly.com/question/13990500
What is the perimeter of the figure?"
Answers
9514 1404 393
Answer:
46 yd
Step-by-step explanation:
The sum of horizontal lengths across the top is 8+6 = 14 yd. The length across the bottom is the same, so the total of horizontal lengths is
14 yd +14 yd = 28 yd
The sum of vertical lengths at the right is the same as the sum of vertical lengths at the left, 9 yd, so the total of vertical lengths is ...
9 yd + 9 yd = 18 yd
The total of all lengths around the perimeter of the figure is ...
28 yd + 18 yd = 46 yd
A copy machine makes 136 copies in 4 minutes and 15 seconds. How many copies does it make per minute?
Answers
Answer:
The copy machine makes 32 copies per minute.
Step-by-step explanation:
Given that a copy machine makes 136 copies in 4 minutes and 15 seconds, to determine how many copies does it make per minute, the following calculation must be performed:
15 seconds = 0.25 minutes
136 / 4.25 = X
32 = X
Therefore, the copy machine makes 32 copies per minute.
What is greater 3 or -2.5
Answers
Answer:
3
Step-by-step explanation:
Morgan and her family live in a rural community in Alabama. Their average monthly expenses to meet their basic needs are shown in the table.
What is the minimum amount Morgan's family needs monthly to meet their budget?
Answers
Answer:
add up all the numbers
Step-by-step explanation:
$3017
Solve. Between [0, 2pi]
2cos^2x+7cosx+3=0
Answers
9514 1404 393
Answer:
x = {2π/3, 4π/3}
Step-by-step explanation:
The equation can be factored as ...
(cos(x) +3)(2cos(x) +1) = 0
The solutions are the values of x where the factors are zero.
cos(x) +3 = 0
cos(x) = -3 . . . . . . no real solution
__
2cos(x) +1 = 0
cos(x) = -1/2
x = arccos(-1/2) = 2π/3
The other solution in the desired interval is ...
x = 2π -(2π/3) = 4π/3
The solutions are x∈ {2π/3, 4π/3}.
Find Arc ABC pls I need help
Answers
Step-by-step explanation:
Arc AD = 70
< D = 98
So
Arc BC = 2 * < D ( relation between arc and inscribed angle)
= 2 * 98
= 196
Hope it will help :)❤
find the absolute maximum absolute minimum of the function F(x)=(x^2-12x+32)^(1/3) on the interval [3,10]
Answers
9514 1404 393
Answer:
minimum: -∛4 ≈ -1.58740maximum: ∛12 ≈ 2.28943Step-by-step explanation:
The expression under the radical can be written in vertex form as ...
x^2 -12x +32 = (x -6)^2 -4
The function will be symmetrical about x=6. The minimum is at x=6 where we have ...
F(6) = ∛(-4)
The maximum is at the end of the interval farthest from the vertex, so is ...
F(10) = ∛((10 -6)² -4) = ∛12
The minimum is -∛4 ≈ -1.587; the maximum is ∛12 ≈ 2.289.
PLEASE HELP ME OUT IXL !! PLEASE GEOMETRY
Answers
Answer:
131
Step-by-step explanation:
Sorry but I am not conform to this answer
Can someone help me ASAP!!
Answers
The answer is 5.
Step-by-step explanation:
To find the interquartile range you must look at the median and the upper and lower halves of the data. The median (12) to the upper half of the data (15) is 3. Next, look at the median (12) to the lower half of the data (10) it is 2. We then add 2 and 3 to get the interquartile range of 5.
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 100°. what is the
measure of ZQRS?
mZQRS = [?]°
Answers
The measure of other supplementary angle where one angle is 100° is 80°
In the above question, it is given that two angles are supplementary angles and,
Two angles are said to be supplementary angles if their sum is 180 degrees.
We have,
The measure of one angle is = 100°
Let the angle which needs to be find as ∠x
That means, we need to find the measure of ∠x
So, according to the supplementary angles property,
100° + ∠x = 180°
∠x = 180 - 100
∠x = 80°
Hence, the measure of other supplementary angle where one angle is 100° is 80°
To learn more about, supplementary angles, here
https://brainly.com/question/18164299
#SPJ1
Darby’s Breakfast table an square tabletop what are your area of 36 ft.²
Answers
Answer:
Diagonal length = 8.59
Step-by-step explanation:
To find the diagonal length, we need the length of the sides. We find the length of the sides by finding the square root of 36, which is 6. Then, we use this equation (see attached image)
I need help with these, the answer options are as follows: always true, sometimes true, never true
Thank you!!
Answers
So I tried everything I could but I still don’t know
Answers
Step-by-step explanation:
app it's a standard 30 60 90 triangle. there are rules for this.
x = 3
y = 6
Question 4 (2 points)
A pizza restaurant offers thin crust or deep dish pizzas. This weekend, they have a special offer that includes 1 meat topping of
either pepperoni or sausage, and 2 vegetable toppings chosen from onions, black olives, and peppers. The different pizzas are
listed in the table shown.
Answers
Answer:
25%
Step-by-step explanation:
Which statement correctly describes the relation between the variables in the equation C = id.
a. C varies directly as d
C varies jointly as d
b. C varies inversely as d
d. C varies directly as .
c.
Please select the best answer from the choices provided
Ο Α
OB
Ос
OD
Answers
Answer:
c. C varies inversely as d
hope this helps you☺️☺️
PLEASE HELP ASAP WILL GIGE YOU BRAINLIEST
What additional piece of information is needed to show that ADEF 2. APQR by ASA?
R
D
O A. FZR
B. ZDZP
0
C.
DFPR
D
EF QR
Answers
Christian ran the 90 feet to first base in 5 seconds. At
this rate, how far would Christian run in 12.5 seconds?
Answers
2x+3x+9=26
can someone help me plz
Answers
Step-by-step explanation:
2x+3x+9=26
5x = 26 - 9
5x = 16
x = 16/5
In the rhombus below, m
What is the measure of
Answers
Answer:
53
Step-by-step explanation:
Billy drove 192.5 miles at an average speed of 55 miles per hour. The statement shown represents this situation.
55h = 192.5
What was the total number of hours, h, it took Billy to drive this distance?
A. 4.5
B. 4
C. 3.5
D. 3
Answers
Answer:
C) 3.5 hours
Step-by-step explanation:
55h = 192.5
55h/55 = 192.5/55
h = 3.5 hours
Solve for x to the nearest degree.
Answers
Answer:
Using Pythagoras Theorem, squareroot 15^2 - 5^2.
After you found the opposite length, use the cosine rule to find angle x.
[tex]\sqrt{529x^{19}}[/tex]
Simplify the radical expression.
Write your answer in form A,
B or [tex]A\sqrt{B}[/tex] where A and B are constants or expressions in x. Use at most one radical in your answer, and at most one absolute value symbol if need.
Answers
Answer:
Step-by-step explanation:
√(529x^{18}x)
√529=23
√x^{18}=x^9
[tex]\sqrt{529x^{19}}=23\sqrt{x^{18}x}=23x^9\sqrt{x}[/tex]
t the following in order for the most area in the tails of the distribution. (a) Standard Normal Distribution (b) Student's t-Distribution with 5 degrees of freedom. (c) Student's t-Distribution with 20 degrees of freedom. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Choose the correct answer below. (c), (a), (b) (b), (c), (a) (b), (a), (c) (a), (c), (b) (a), (b), (c)
Answers
Answer:
(b), (c), (a)
Step-by-step explanation:
The Most area in the tails of the distribution can be ordered as :
Student t-distribution with 5 degrees ( b ) Student's t-distribution with 20 degrees ( c )Standard Normal Distribution ( a )T-distribution is a continuous probability distribution that is applied when the population is small and when the population standard deviation is not given
if In x + ln(x – 4) = ln(7x), then x
Answers
Answer:
x=11
Step-by-step explanation:
ln rule: ln(ab)=ln(a)+ln(b)
ln(x)+ln(x-4)=ln(7x)
ln(x(x-4))=ln(7x)
x^2-4x=7x
x^2-11x=0
x(x-11)=0
x=0 or x=11
Since ln(x) is undefined when x is less or equal to 0
x=11
What is m∠1 in this ixl
Answers
Answer:
m<1 = 137
Step-by-step explanation:
Exterior angles thm:
41 + 96 = m<1
m<1 = 137
I JUST NEED AN ANSWER AND EXPLANATION PLEASE
Which equation in standard form represents the line in the graph?
Answers
Answer:
B) -3x+y=1
Step-by-step explanation:
y=mx+b
b=y-intercept=1
m=slope=3/1
y=3x+1
-3x+y=1
Katie has $600 in a savings account that earns 5% annually. The interest is not compounded. How much interest will she earn in 1 year ?
Answers
Answer:
$30
Step-by-step explanation:
The formula for interest is I = Prt
Principal = 600
Rate = 0.05 or 5%
Time: 1 year
600 x 0.05 x 1 = 30
She earned an interest of 30.
Simply the expression below
Answers
Answer:
[tex]\frac{7x + 3}{(x + 5) (x - 3) }[/tex]
Step-by-step explanation:
Answer:
7x + 3 / (x+5)(x-3)