Answer:
f^−1(x) = x + 7Step-by-step explanation:
Replace f(x) with y. y = x − 7
Interchange the variables. x = y − 7
Solve for y. y = x + 7
Solve for y and replace with f^−1 (x). f^−1(x) = x + 7
I hope this helps have a great day :)
40 out of 50 birds are female. total number of birds is 1,120, how many of them would be female
Answer:
896
Step-by-step explanation:
40/50 = 80%
80% of 1120 is 896
help 1234567891011121314151617181920
Number of Bars
1
Analyze A store sells variety packs
of granola bars. The table shows
the types of bars in each pack.
Mason says that for every 7 bars in
a pack, there is 1 cinnamon bar.
Do you agree? Explain.
Type
Cinnamon:1
Honey:4
Peanut Butter:3
Answer: Disagree. 1 in 8 bars are cinnamon.
Step-by-step explanation:
There are a total of 8 bars in the pack. Cinnamon is 1 of the 8. Therefore, for every 8 bars, one is cinnamon.
How do I determine z ∈ C:
[tex](\frac{3-2i}{1+i} - \frac{5+3i}{1+2i} )z = \frac{1}{2} - \frac{2}{5}i[/tex]
Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}[/tex]
So, the equation is simplified to
[tex]-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5[/tex]
Let's combine the fractions on the right side:
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22[/tex]
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}[/tex]
Then
[tex]-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}[/tex]
reduces to
[tex]-(17+11i) z = 5-4i[/tex]
Multiply both sides by -1/(17 + 11i) :
[tex]\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}[/tex]
[tex]z = -\dfrac{5-4i}{17+11i}[/tex]
Finally, simplify the right side:
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}[/tex]
So, the solution to the equation is
[tex]z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}[/tex]
i'll mark brainliest, thanks in advance!
Answer:
not enough information.
Step-by-step explanation:
We know one side and the vertical angle. We do not have enough information to determine if the triangles are congruent.
An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.
Two dice are rolled; the numbers add to 11.
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Is this statement true or false:
a - b = b - a
True
False
Answer:
False
Step-by-step explanation:
positive A and negative B does not equal positive B and negative A
Answer:
FALSE
Step-by-step explanation:
Peter Morris wants to verify the amount
deposited to his savings account. His new balance is $729.49,
his previous balance was $680.50, interest earned on his
account was $3.25, and withdrawals totaled $222.06. Find the
amount deposited to his savings account.
Answer:324.24??? Not sure just a guess.
Step-by-step explanation:
Last month 288 people attended the monthly bingo night. This month 243 people attended bingo night. To the nearest tenth of a percent, what is the percent decrease in attendance from last month to this month? Enter your answer as a decimal in the box. %
Answer:
15.625
Step-by-step explanation:
old number = 288
new number = 243
percent decrease = (old - new / new ) * 100
= (288 - 243 / 288) * 100
= 45 / 288 * 100
= 15.625
Answer:
15.6 (rounded)
Step-by-step explanation:
I took the test
Lauren received a box of 12 identical-looking truffles for Valentine's Day. 3/4 of them have a fruit filling and 2/3 of the remaining are coffe-flavored. 1/3 of the fruit-filled ones have raspberry filling and 1/6 of the remaining fruit-filled truffles have strawberry flavor. What is the probability that she will draw a flavor she doesn't reconize.
A. 1/3
B. 2/5
C. 1/2
D. 3/4
C. 1/2
9 of the truffles are fruit-filled. 2 are coffee-flavored. one is unaccounted for.
Of the 9 fruit-filled ones, 3 are raspberry and one is strawberry. 5 are unaccounted for.
Putting together the ones we don't know, we get 6 unknown ones. 6/12, or 1/2, is the answer.
A bicycle has a listed price of $660.95 before tax. If the sales tax rate is 7.25%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary
9514 1404 393
Answer:
$708.87
Step-by-step explanation:
The price with tax included is ...
660.95 + 0.0725×660.95 = 660.95(1 +0.0725) = 708.87
The total cost of the bicycle with tax is $708.87.
Answer:
$ 708.87
Step-by-step explanation:
Think that, a bicycle has listed price of $ 100,
Listed price Tax rate Total cost of the bicycle with sales tax
$ 100 7.25 107.25
$ 660.95 x
Let the Total price of the bicycle be x
Now you can create a equation like this,
[tex]\frac{100}{660.95}=\frac{107.25}{x}[/tex]
Use cross multiplication, and find out the total cost of the bicycle with sales tax.
[tex]100x=660.95*107.25[/tex]
[tex]100x=70886.8875[/tex]
[tex]\frac{100x}{100} =\frac{70886.8875}{100} \\[/tex]
[tex]x=708.8688[/tex]
Therefore, the total cost of the bicycle with sales tax is,
≈ $ 708.87
Hope this helps you.
Let me know if you have any other questions :-)
A crate has a mass of 6kg. Using the fact that the acceleration due to gravity is g=9.8 m/s2, how much work is done in lifting the crate 3m, in Joules? Round answer to one decimal place if necessary.
Work done = force applied * distance covered
Force = mass * acceleration
Therefore, Work done = mass * acceleration * distance covered
Parameters:
mass = 6kg
acceleration = 9.8m/s2
distance = 3m
Substitution:
Work done = 6 * 9.8 * 3
Work done = 176.4J (to 1 decimal place)
f(x)=ax^2 +bx +c solve: heigh 275 width 290
Answer:
800 i think
Step-by-step explanation:
A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50,
a 35% chance it will be worth $60 and a 25% chance it will be worth $70. What expected value
does this broker assign to this stock's end-of-the-year price?
The expected value that this broker assign to this stock's end-of-the-year price is $58.50.
Using this formula
Expected value=Stock worth at $50+ Stock worth at $60+ Stock worth at $70
Where:
Stock worth at $50=40% chance
Stock worth at $60=35% chance
Stock worth at $70=25% chance
Let plug in the formula
Expected value=(40%×$50)+($35%×$60)+($25%×$70)
Expected value=$20+$21+$17.5
Expected value=$58.50
Inconclusion the expected value that this broker assign to this stock's end-of-the-year price is $58.50.
Learn more here:
https://brainly.com/question/12834805
Mike burns 392 calories when he walks 4 miles how many calories does he burn when he walks 1 mile?
Answer:
Step-by-step explanation:
If mike burns 392 calories when he walks 4 miles then we just need to divide
/ =
Mike burns 98 calories when he walks 1 mile.
What is unitary method?"It is a method of finding the value of a single unit and based on that value, we can find the required value."
For given example,
Mike burns 392 calories when he walks 4 miles.
This means, 4 miles = 392 calories
By using unitary method we find the number of calories he burns when he walks 1 mile.
4 miles = 392 calories
So, 1 mile = 392/4 calories
1 mile = 98 calories
Therefore, Mike burns 98 calories when he walks 1 mile.
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ2
Find the factorization of the polynomial below.
81x2 + 72x + 16
Answer:
9 x + 42.
Step-by-step explanation:
Answer:
72x+178" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.017px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">72x+17872x+178
1. What is the place value of 7 in 43.0671? A. tenths B. hundredths TA C. thousandths D. ten thousandths
no link no bot right please
Answer:
27pi in^3
Step-by-step explanation:
the volume for a cone is (1/3)pi*r^2*h. r=3in, h=9in. so the volume is (1/3)*pi*3^2*9=27pi
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate).
4 sin(2θ) − 2 sin(θ) = 0
Answer:
θ = πk, 1.318+2πk, 4.965+2πk
Step-by-step explanation:
4sin(2θ) − 2sin(θ) = 0
8sin(θ)cos(θ) - 2sin(θ) = 0
2sin(θ)[4cos(θ)-1] = 0
2sin(θ) = 0
sin(θ) = 0
θ = πk
4cos(θ)-1 = 0
4cos(θ) = 1
cos(θ) = 1/4
θ ≈ 1.318+2πk, 4.965+2πk
Therefore, θ = πk, 1.318+2πk, 4.965+2πk
Select the correct answer.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
A. point U
B. point V
C. point W
D. point X
Answer:
the answer is A. point U
or it's point W
60 twelve minus 13 twelve
Answer:
47 twelve
Step-by-step explanation:
hope it's help
Find the sum of 5x + 6 and -11x - 9
Which name is a correct way to name the tiling?
Answer:
sowing, I'm not sure about the exact answer
Answer:
6^3
Step-by-step explanation:
Due to normality, the formula for computing z is the same for a single data value, as it is
for an average of the data values for a sample group.
True or false ?
Using the Central Limit Theorem, the statement is false, as for the averages of the data values for a sample group, the standard error is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], hence, the formula is:
[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
While for a single value, it is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Hence, the formulas are different, and for an average of the data values for a sample group it is:
[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
A similar problem is given at https://brainly.com/question/24663213
100 POINTS If x and y are real numbers, what is the simplified radical form of [tex](x^{2} y^{5} )^{\frac{1}{5} }[/tex]
Answer: [tex]x^{2/5}[/tex][tex]y[/tex]
Step-by-step explanation:
([tex]x^{2}[/tex][tex]y^{5}[/tex])^[tex]^{1/5}[/tex]
= [tex]x^{2/5}[/tex][tex]y[/tex]
what is the measure of line CD. explain
An aircraft factory manufactures airplane engines. The unit C(the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made , then the unit cost is given by the function C (x) = 0.9x^2-306x+34,590. What is the minimum unit cost?
If an item is $6.49 for 36 ounces, then it is $
Answer:
0.18
Step-by-step explanation:
If i have a silver necklece at the price of 26 $ and its 50 percent of what was the orginal price.
50%=100%/2
26*2 = 52
Original price is 52 dollas
Answer:
52
Step-by-step explanation:
please mark brainlest
A baseball pitcher has made 53 pitches in the first four innings of a baseball game and plans to pitch 3 mote innings. The manager of the team has committed to allowing his pitcher to throw, at most, pitches during the game. Write an inequality to find the average number of pitches the pitcher can throw over the next three innings Solve the inequality from Part 1. What is the maximum number of pitches the pitcher can make in cach of the next 3 innings ? Graph your solution from Part 2 on a number line and explain what your solution means. If the pitcher threw just 6 pitches in the fifth inning, what is the greatest number of pitches the pitcher can throw per inning he wishes to pitch nine innings? Write and solve an inequality to answer this part.
Answer:
at most 17 pitches per inning
Step-by-step explanation:
It is given that a baseball pitcher makes 53 pitches in the first 4 innings of a game and plans to pitch in the next 3 innings.
We need to write and solve an inequality to find the possible average pitches per inning the pitcher made in the next 3 innings if the pitcher is assigned a maximum of 105 pitches.
From part (a) we know 3 p + 53 3p+53 represents the total number of pitches made if the pitcher makes an average of p pitches per inning in the next 3 innings.
If the pitcher can make at most 105 pitches, then:
3 p + 53 ≤ 105 3p+53≤105
To solve the inequality, first subtract 53 on both sides of the inequality to isolate the variable term:
3 p + 53 − 53 ≤ 105 − 53 3 p ≤ 53
3p+53≤105 [tex]p\leq 17\frac{1}{3}[/tex]
at most 17 pitches per inning
(Hope this helps can I pls have brainlist (crown)☺️)