9514 1404 393
Answer:
[tex]f^{-1}(x)=\pm\sqrt{x-10}[/tex]
Step-by-step explanation:
You can find the inverse of
y = f(x)
by solving for y:
x = f(y)
__
x = y² +10
x -10 = y² . . . . . . . . subtract 10
±√(x -10) = y . . . . . take the square root
The inverse relation is ...
[tex]\boxed{f^{-1}(x)=\pm\sqrt{x-10}}[/tex]
__
It is not a function unless some restriction is placed on the domain of f(x).
Sheila is cutting a sector out of a circle with area 42 cm2. She wants the sector to have a central angle to measure between 25° and 35°, 5π36 radians and 7π36 radians respectively. Which of the following are possible areas for the sector? Select the two correct answers
2.5 cm2
3.8 cm2
3.5 cm2
2.7 cm2
4.6 cm2
irs 2.7jsjsjsjjsjssjjw I have no idea what is I to on to with
help me please I dont know this
Answer:
answer: 384
Step-by-step explanation:
Hello! cubes are very simple! since there all the same measure and 6 faces all we have to do is 8 × 8 = 64 sense we know 1 face is 64 we just have to multiply by 6 cause there is 6 faces so
64 × 6 = 384 Hope this helps you!
Can someone please Help me with this ?
Answer:
The answer is A
Step-by-step explanation:
t(x) = (x-4)(x-4)+3
t(x) = (x²-4x-4x+16)+3
t(x) = x²-8x+19
please answer ive been waiting half hour
Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed
The subject is the idea,being or thing being discussed.
Should be "plant". Its the Main thing being discussed.
2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP
Answer:
5555555555555555555555555555555555555 trust
Step-by-step explanation:
Teresa Alice drove 383.5 miles in 6.5 hours. What is her average rate of speed?
Answer:
59
Step-by-step explanation:
383.5/6.5=59
You deposit $200 in an account earning 2% interest compounded annually how much will you have any account in 10 years
Answer:
$243.80
Step-by-step explanation:
You basically just multiply this by 1.02, then multiply the answer of that by 1.02, etc, until you did it 10 times in total. There is also the formula
P (1 + r/n)^(nt)
Where
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
[tex]s = 2\pi(r + h)[/tex]
find r
I need help ☹️ anybody know if it’s a b c or d
Answer:
C
Step-by-step explanation:
anthony went on a bike ride. He rode two-thirds of a mile in three-fourths of an hour. What was his biking speed in miles per hour?
What is the mean of the data set?
25, 18, 16, 25
Answer:
21
Step-by-step explanation:
Add all of the numbers and then divide by how many numbers there are.
How do you do this question?
Answer:
the answer is 4 of it will help you
Question 5 of 10
Use the function below to find F(-4).
F(x) = 2x
O A. -16
B. -8
C.
1CO
1
O D.
Answer:
B. -8
Step-by-step explanation:
F(x) = 2x
F(-4) = 2(-4) = -8
please help
The graphs below have the same shape. What is the equation of the blue graph?
A. g(x) = (x - 2)2 + 1
B. g(x),= (x - 2)2 -1
C. g(x) = (x + 2)2 - 1
D. g(x) = (x + 2)2 + 1
Answer:
A
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Vertex: (2,1)(2,1)
Focus: (2,54)(2,54)
Axis of Symmetry: x=2
Hope it helped :)
HELP PLEASEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
12²+15² is 369. square root of 369 is 3[tex]\s\sqrt{41[/tex] or 19.2
Please help marking people as brainlist
Mr. Zhāng received a shipment that
arrived in a cardboard box in the shape of a
rectangular prism. The volume of the box
was 110 cubic feet. The area of the base of
the box was 20 square feet. What was the
height of the cardboard box?
A rectangular book cover is 8cm long and 5cm wide.Find the area of a book cover
Answer:
26cm
Step-by-step explanation:
because you have to add 8cm+8cm +5cm+5cm=26cm
Answer now boi/gurl, Tahke yuo
Answer:
Seems like it's B
Step-by-step explanation:
The rest seem wrong.
---↓
A- Jon paid $235.50 for yard work. He paid $25.00 to have some
bushes trimmed and $35.50 each time he had his grass mowed. What is
x, the number of times Jon had his yard mowed? | The equation is 25x + 35.50 = 235.50 . That means this answer is probably wrong.
·
C- Jon paid $235.50 for yard work. He paid $35.50 to have some
bushes trimmed and $25.00 each time he had his grass mowed. What is
x, the number of bushes Jon had trimmed? | Once again, the equation is 25x + 35.50 = 235.50 . That means this answer is probably wrong too.
·
D- Jon and his neighbor paid $235.50 for yard work. Jon paid $35.50 to have some bushes trimmed and his neighbor had some bushes trimmed for $25.00 each. What is x, the amount of money Jon paid to have his bushes trimmed? | It says that Jon paid $35 to have his bushes trimmed in the sentence.
~~~~~~~~~~~~~~~~~~~~
B- Jon paid $235.50 for yard work. He paid $35.50 to have some
bushes trimmed and $25.00 each time he had his grass mowed. What is
x, the number of times Jon had his yard mowed?
The equation is 25x + 35.50 = 235.50 || We would put the x after 25 because it's asking "What is x, the number of times Jon had his yard mowed?" This seems correct.
Therefore, the answer would be B
what is 358 divided by 6
Answer:
59.6
Step-by-step explanation:
:)
Decimal form-59.6
Mixed fraction form-59 2/3
Exact form-179/3
The low weekdays temperature for a city are shown
Identify the constant term of
14 - 8x - 7y
Answer:
14
Step-by-step explanation:
In ancient Egypt, mathematicians and architects used 10 as an approximation for π . The circular floor of an ancient arena is paved with tiles. The floor of the arena has a radius of 100 feet.
FREE POINT GIVE AWAY!!!!!! Just solve my equation 5*4+2=? (I already know the answer)
Answer:
22
Step-by-step explanation:
I did the math in my head sooo if it's wrong I know why
simple math for 18 points !!
Hi there!
[tex]\large\boxed{C. \text{ } \$ 272.50}[/tex]
To begin, we can find the amount he is paid from his hourly wage:
$12.75 × 6 = $76.5
Calculate the commission by adding up the sales to get the total:
$1200 + $2350 $975 + $375 = $4900
4% of $4900 = 4900 × 0.04 = 196
Add the total wage and commission together:
76.5 + 196 = $272.50
Answer:
c 272.50
Step-by-step explanation:
A grading scale is set up for 1000 students' test scores. It assumes the
scores are normally distributed with a mean score of 75 and a standard
deviation of 15.
How many students will score between 48 and 75?
hint: recall how to get the standard deviation. What does that mean in
this context? How could you use that to understand how many test
scores could be in one standard deviation?
464
Answer:
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.
This means that [tex]\mu = 75, \sigma = 15[/tex]
How many students will score between 48 and 75?
First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So
X = 75
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 75}{15}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 75}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a p-value of 0.0359
1 - 0.0359 = 0.4641
Out of 1000:
0.4641*1000 = 464
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
Enter the absolute value of 6.2 and -7/2
Answer:
1, 6.2 and 7/2
Step-by-step explanation:
Answer:
6.2 = 6.2
-7/2= 3.5
Step-by-step explanation:
Because I know, mark brainliest please
Give the coordinates of point A.
Answer: -2,-5
Step-by-step explanation:
The red point is located in the 3rd quadrant in the graph. So that means both the y and the x are negative. So first you go by the x value, the point is located on the 2 space left (-) from the origin (center) of the graph and then you have to go 5 spaced down (-). So point A is located at (-2,-5).
need help asappppppp
Answer:
for what
Step-by-step explanation:
The local branch of the Internal Revenue Service spent an average of 21 minutes helping each of 10 people prepare their tax returns. The standard deviation was 5.6 minutes. A volunteer tax preparer spent an average of 27 minutes helping 14 people prepare their taxes. The standard deviation was 4.3 minutes. At α = 0.02, is there a difference in the average time spent by the two services? Find the 98% confidence interval for the two means.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
Answer:
The confidence Interval is [- 0.7053 10.4521]
a: The hypotheses are
H0: μ1=μ2 against the claim Ha :μ1≠μ2
b. The critical value for t∝/2 for 17 d.f t > 2.508 and t < -2.111
c. t= -2.8422
d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.
Step-by-step explanation:
When the standard deviations are not the same then the confidence intervals for mean differences are calculated as
(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2
x1`= 21 x2`= 27
n1= 10 n2= 14
s1= 5.6 s2= 4.3
The degrees of freedom is calculated using
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 17
The t∝/2 for 17 d.f = 2.11
Putting the values
(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2
(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27) +2.11√5.6²/10+4.3²/14
6- 2.11*2.111 < u1-u2 < ( 6 ) +2.11*2.111
6- 4.4521 < u1-u2 < ( 6 ) +5.294
- 1.5479 < u1-u2 < 10.4521
The confidence Interval is [- 0.7053 10.4521]
a: The hypotheses are
H0: μ1=μ2 against the claim Ha :μ1≠μ2
The claim is that there is a difference in the average time spent by the two services
b. The critical value for t∝/2 for 17 d.f t > 2.508 and t < -2.111
The degrees of freedom is calculated using
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 17
c. The test statistic is
t= (x1`-x2`) /√s1²/n1 + s2²/n2
t= (21-27) /√5.6²/10+ 4.3²/14
t= -6/2.111
t= -2.8422
d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.