Answer:
The average rate of change is 2.
Step-by-step explanation:
We are given the function:
[tex]g(x)=-x^2+x+5[/tex]
And we want to find the average rate of change over the interval:
[tex]-4\leq x\leq 3[/tex]
The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.
Our first endpoint is given by:
[tex]g(-4)=-(-4)^2+(-4)+5=-15[/tex]
And our second endpoint is given by:
[tex]g(3)=-(3)^2+(3)+5=-1[/tex]
This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:
[tex]\displaystyle ARC=\frac{-1-(-15)}{3-(-4)}=\frac{14}{7}=2[/tex]
The average rate of change is 2.
In ANOP, the measure of ZP=90°, NO = 83 feet, and OP = 49 feet. Find the measure of 20 to the nearest tenth of a degree.
Answer: 53.8
Step-by-step explanation:
What is 25& of 140?
Answer:
35
Step-by-step explanation:
Answer:
The answer is 35
Hope this helps :>
what is 4.42 - 1.26 equal
Answer:
3.16
Step-by-step explanation:
4.42 - 1.26 = 3.16
In the accompanying diagram, PA is tangent to the circle at A and PC is a secant. If
PA = 8 and PB = 4, then BC =
Answer:
c. 12
Step-by-step explanation:
PA² = (BC + PB) × PB => tangent-secant theorem
PA = 8
PB = 4
BC = ?
Substitute
8² = (BC + 4) × 4
64 = 4BC + 16
64 - 16 = 4BC + 16 - 16
48 = 4BC
48/4 = 4BC/4
12 = BC
BC = 12
. Bree sold 2 paintings for $95 each,
5 stone sculptures for $64 each, and
1 mini-bronze sculpture for $150 in the
month of April. Bree doubled her sales
in May. How much were her total sales in
April and May?
A swimming pool is 14 yards long and 6 yards wide.Which equation can you use to find the area of the bottom of the pool?
The U.S. Postal Service is to deliver a letter to a certain postal ZIP 4 code. Find the probability that the ZIP 4 code is correct if the sender (a) randomly chooses the code, (b) knows the five-digit code but must randomly choose the last four digits, and (c) knows the five-digit code and the first two digits of the plus 4 code.
Answer:
State City ZIP Code(s)
Arizona (AZ) Phoenix 85001 thru 85055
Arkansas (AR) Little Rock 72201 thru 72217
California (CA) Sacramento Los Angeles Beverly Hills 94203 thru 94209 90001 thru 90089 90209 thru 90213
Colorado (CO) Denver 80201 thru 80239
Step-by-step explanation:
Hope This Helps!!!!!!!
11231×12+117271-67473
Answer:
the answer is 184570
Step-by-step explanation:
7-100 Lavanne is not convinced that his measurements from Problem 7-99 are correct. He
decides to calculate the distance again between towns A and C using a different method to
verify his results. This time, he drives a stake in the ground at Point D, which is 800 feet from
town A and 694 feet from town C. He also determines that m 2D = 68º. Using these
measurements. how wide is the lake between points A and C?
D
The least common denominator of 2/5, 1/2, and 3/4 is:
Answer:
20
Step-by-step explanation:
20 is the least common denominator
2/5, 1/2, and 3/4 fractions have a Least Common Denominator of 20.
What is Least Common Denominator?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have to determine the Least Common Denominator of fractions 2/5, 1/2, and 3/4
We need to calculate the factors of the denominators 5, 2, and 4.
⇒ 5 = 5 × 1
⇒ 2 = 2 × 1
⇒ 4 = 2 ×2 × 1
The LCD would be:
⇒ 5 × 2 ×2 × 1 = 20
Hence, 2/5, 1/2, and 3/4 fractions have a Least Common Denominator of 20.
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Please confirm my answer
Each of the 20 students in Mr. Anderson's
class flipped a coin ten times and recorded
how many times it landed on tails. How
many tails would a student expect to see
out of ten tosses?
Answer:
5.
Step-by-step explanation: Because when you flip a coin it has 2 sides, a 50/50 to get heads or tails. But theoretically it could be infinitely any combination. Though 5 tails would be the best choice.
What is the sector area of a sector created
by circle with a radius of 2 m and a 140°
central angle.
Answer:
Area of sector = 4.88 m ²
Step-by-step explanation:
Given:
Angle = 140°
Radius = 2 m
Find:
Area of sector
Computation:
Area of sector = [θ/360][πr²]
Area of sector = [140/360][(22/7)(2)²]
Area of sector = 4.88 m ²
Which camera is the farthest from the surface of the water?
Sorry if the picture is blurry! I tried my best!
Answer:
fish camera
Step-by-step explanation:
I think I took the quiz
Answer:
B hope this helps
Step-by-step explanation:
6 foot tall man has a 9 foot shadow at the same time a tree standing next to him as a 30 foot shadow how tall is the tree?
The tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
From the right angle triangle,
The ratio of the man height and his shadow is equal to the tree height(h) and its shadow.
6/9 = h/30
h = 20 feet
Thus, the tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.
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show your work (?) please
100 POINTS AND BRAINLIEST !!!!! (I need the answer ASAP) A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system’s solutions?
A.
The system has two solutions, and both are viable because they result in positive widths.
B.
The system has only one solution, but it is not viable because it results in a negative width.
C.
The system has two solutions, but only one is viable because the other results in a negative width.
D.
The system has only one solution, and it is viable because it results in a positive width.
Answer:
D.
Step-by-step explanation:
I'ts just reading the question over and over.
Answer:
The Answer is C
Step-by-step explanation:
I blessed you all and just guessed on the test on Plato/Edmentum and this was the right answer.
17. The base of a 30-foot ladder is placed 11 feet from the building. How
high up the building does the ladder reach, to the nearest foot? *
PLZ HELP
which of the following is true
2 + 21 =27
2 + 21 = 32
2 + 21 = 23
200% of what number is 66?
Answer:
33
Step-by-step explanation:
Because 66 is 200% just divide that by 2. Then 33 would be 100%
Points (−3, 5) and (3, 5) on the coordinate grid below show the positions of two players on a tennis court:
Which statement best describes the relationship between the positions of the two players? (4 points)
Select one:
a. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
b. Player 2's position is Player 1's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
c. Player 2's position is Player 1's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
d. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Answer:
B
Step-by-step explanation:
1. Plot the points on a graph (reflected across x-axis)
Find the interior height of the pyramid. Round to the nearest tenths if necessary.
Answer: 6 in
Step-by-step explanation:
[tex]a^{2}= c^{2} - b^{2}[/tex]
[tex]a=\sqrt{10^{2}-8^{2} }[/tex]
a=6 in
how do i find r in a geometric sequence of (243, 81, 27)? also how do i find the explicit formula for this?
Answer:
Step-by-step explanation:
The initial term is 243. Since it is a geometric sequence, each term is r times the preceding term.
r = 81/243 = ⅓
nth term = a₁rⁿ⁻¹ = 243(⅓)ⁿ⁻¹
The Medical College Admissions Test (MCAT) is a standardized, multiple-choice examination created to help medical school admissions officers assess a medical school applicants problem solving and critical thinking skills, as well as knowledge of natural, behavioral, and social science concepts and principles prerequisite to the study of medicine. The lowest raw total score on the test is 472 while the highest raw total score is 528. For the current version of the MCAT, the population mean is 501.1 and the population standard deviation is 10.6 points.
1. Alison scored 515 on the MCAT. What is the percentage of test takers who scored less than Alison (what is the percentile rank associated with a raw score of 515)?
2. Kamal scored higher than 82% of the test takers. What is Kamal's percentile—what is Kamal's score on the MCAT?
3. What percentage of test takers scored between 505 and 510 on the MCAT?
Answer:
1. 90.49% of test takers scored less than Alison.
2.
Kamal scored in the 82th percentile.
Kamal's score was of 510.8.
3. 15.52% of test takers scored between 505 and 510 on the MCAT.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For the current version of the MCAT, the population mean is 501.1 and the population standard deviation is 10.6 points.
This means that [tex]\mu = 501.1, \sigma = 10.6[/tex]
1. Alison scored 515 on the MCAT. What is the percentage of test takers who scored less than Alison (what is the percentile rank associated with a raw score of 515)?
The proportion is the pvalue of Z when X = 515. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{515 - 501.1}{10.6}[/tex]
[tex]Z = 1.31[/tex]
[tex]Z = 1.31[/tex] has a pvalue of 0.9049
0.9049*100% = 90.49%
90.49% of test takers scored less than Alison.
2. Kamal scored higher than 82% of the test takers. What is Kamal's percentile—what is Kamal's score on the MCAT?
Kamal scored in the 82th percentile.
His score is the value of Z when Z has a pvalue of 0.82. So X when Z = 0.915.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.915 = \frac{X - 501.1}{10.6}[/tex]
[tex]X - 501.1 = 0.915*10.6[/tex]
[tex]X = 510.8[/tex]
Kamal's score was of 510.8.
3. What percentage of test takers scored between 505 and 510 on the MCAT?
The proportion is the pvalue of Z when X = 510 subtracted by the pvalue of Z when X = 505. So
X = 510
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{510 - 501.1}{10.6}[/tex]
[tex]Z = 0.84[/tex]
[tex]Z = 0.84[/tex] has a pvalue of 0.7995
X = 505
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{505 - 501.1}{10.6}[/tex]
[tex]Z = 0.37[/tex]
[tex]Z = 0.37[/tex] has a pvalue of 0.6443
0.7995 - 0.6443 = 0.1552
0.1552*100% = 15.52%
15.52% of test takers scored between 505 and 510 on the MCAT.
Solve.
10x^2 - 6 = 9x
Answer:
B
Step-by-step explanation:
use quadratic formula: (-b ±√b²-4ac) ÷ 2a
a = 10, b = -9, c = -6
The table shows values for a quadratic function.
x
у
0
0
1
2
2
8
3
18
4
32
5
50
72
6
What is the average rate of change for this function for the interval from x = 2
to x = 4?
o
A. 16
B. 8
C. 18
O D. 12
Answer:
D. 12
Step-by-step explanation:
The average rate of change between the interval, x = 2 to x = 4, in the given function is: D. 12.
What is the Average Rate of Change Within an Interval?Average rate of change = change in y / change in x = (y2 - y1)/(x2 - x1).
Given the interval of the function, as x = 2 to x = 4, we have:
(x1, y1) = (2, 8)
(x2, y2) = (4, 32)
Average rate of change = change in y / change in x = (32 - 8)/(4 - 2) = 24/2
Average rate of change = 12
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Area and Perimeter Study Island
Answer:
C. 48
Step-by-step explanation:
since it's the perimeter is 112 and the width is 8 ft you add 8 + 8 which is 16 and then you subtract it by 112 which gives you 96 then you divide 96 / 2 which gives you the answer of 48
if James have 12 books and Jack has 15 who has more
Answer:
Jack
Step-by-step explanation:
Jack has more books because 15 is more than 12
lol
A photocopy machine was sold at 12% discount with 13% VAT. If the customer paid Rs. 3,57,984 then find VAT amount and discount amount.
Answer:
See the answers below
Step-by-step explanation:
Given data
Discount=12%
VAT= 13%
Amount paid= Rs. 3,57,984
The amount of VAT
=13/100*3,57,984
=0.13*357984
= Rs. 46537.92
The amount of discount
=12/100*3,57,984
=0.12*357984
= Rs. 42958.08
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 fort and enter your answer as a decimal.
MA
As
d=8
MY
Co
MY
units
Answer:
[tex]A=50.24\ \text{unit}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the circle, d = 8 unit
Radius, r = 4 units
We need to find the area of the circle. The formula for the area of a circle is given by :
[tex]A=\pi r^2\\\\A=3.14\times 4^2\\A=50.24\ \text{unit}^2[/tex]
So, the area of the circle is equal to [tex]50.24\ \text{unit}^2[/tex].