Answers
The composition of the function and its inverse must be zero. So the composition of 7x with x/7 is:
[tex](F( F^{-1}x)) \\ \\ =F( \frac{x}{7}) \\ \\ = 7(\frac{x}{7}) \\ \\ = x [/tex]
Thus, 7x and x/7 are inverse of each other.
So the answer to this question is option B
Related Questions
hello can you please help me out on this question posted picture
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So, the tree will start with 3 leaves, and each leaf will further be divided into 3 leaves. Thus the total number of leaves in the tree diagram will be 3 x 3 = 9 leaves.
Option A correctly represent this situation.
how many lines of symmetry does the figure have??
Answers
Answer: The given figure does not have any line of symmetry.
Explanation:
Since, Given figure seems a parallelogram.
And, a line of a symmetry is an imaginary line through which we get two same figure or unchanged figure. Or, we can say that Line of symmetry makes a reflection of a figure in which the size or shape of the figure does not change.
In the case of parallelogram diagonals must be the line of symmetry. But any diagonal in parallelogram does not make symmetry. Therefore, there is no line of symmetry in parallelogram.
Which of these is equal to sin(70°)? A) cos(110°) B) cos(160°) C) cos(20°) D) cos(70°)
Answers
sin (70⁰)= cos (90-70⁰)=cos (20⁰)
sin (70⁰)=cos (20⁰)
Answer:
[tex]sin (70^{\circ})=cos (20^{\circ})[/tex]
Option C is correct.
Step-by-step explanation:
we have to choose the option for which the value is equals to sin(70°)
As in the first quadrant sine and cosine both are positive
[tex]\sin \theta = \cos (90-\theta)\\\\\sin (70^{\circ})= \cos (90-70)=\cos (20^{\circ})\\\\sin (70^{\circ})=cos (20^{\circ})[/tex]
hence, option C is correct.
Help with this math question please
Answers
52. The best answer is G. This is a circle of diameter 10 in, so 10 in is the longest dimension, and you would not be able to cut a 2-in wide section that is 10 in long since the circle immediately gets smaller when you move away from the diameter.
Find the area of the circle r= 7
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Leon deposited $30000 in a bank which paid 2% interest per year. After 1 year, Leon withdrew all his money including the interest. how much money did Leon withdraw?
Answers
A=P(1+r)^n
where:
P=principle
r=rate
n=time
But from the information given:
P=$30,000, r=2%, n=1 year
thus
A=30000(1+2/100)^1
A=30000(1.02)^1
A=$30600
Thus amount after 1 year was $30600
What is the interquartile range for the data set?
Could you please double check my answer for me?
Answers
1- By definition, the formula for calculate the interquartile range is
Interquartile range=Q3-Q1
Where Q1 is the lower quartile and Q3 is the upper quartile.
2-Keeping this on mind, you have:
Interquartile range=Q3-Q1
Q3=245
Q1=201
Interquartile range=245-201
Interquartile range=44
Therefore, the answer is: 44
Logarithmic form x^19 = y
Answers
1. You have the following expression given in the problem:
x^19 = y
2. By definition, you have:
logb(x)=y
b^y=x
3. Therefore, you have:
x^19 = y
logx(y)=19
4. Then, as you can see, the answer is: logx(y)=19
b ^ x = a , then to solve for the exponent x, log b a = x or read as log a base b = x.
x^19 = y
x = b
a = y
x = 19
log x y = 19 or log y base x = 19
what is the value of y /2/4/16/20
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Calculate the total budget and then fill in the missing percentages. You will use some of the answers given more than once. Total budget = Household Budget Item Percent % Amount $ Donations 1,620 Taxes 1,620 Food 3,510 Clothing 2,700 Housing 1,350 Transportation 675 Insurance 675 Savings 675 Recreation and miscellaneous 675
Answers
Donations = 12%
Taxes = 12%
Food = 26%
Clothing = 20%
Housing = 10%
and the rest are 5 %
Answer:
Step-by-step explanation:
To calculate the percentage of each expenses we use this formula :
[tex]\frac{amountofbudgetitem}{Totalbudget}[/tex] × 100
Household Budget Items Amount ($) Percentage
Donations 1,620 12%
Taxes 1,620 12%
Food 3,510 26%
Clothing 2,700 20%
Housing 1,350 10%
Transportation 675 5%
Insurance 675 5%
Savings 675 5%
Recreation and
miscellaneous 675 5%
Total Budget 13,500 100%
The endpoints of a line segments are at the coordinates (-6,3,4) and (4,-1,2) what is the midpoint of the segment
Answers
Explanation:
The coordinates of the mid point are calculated by dividing the sum of each pair of corresponding coordinates by 2.
This is how you calculate the mid of each coordinate separately:
1) x-coordinate:
mid x-coordinate = (- 6 + 4) / 2 = -2 / 2 = - 1
2) y-coordinate
mid y-coordinate = (3 - 1) / 2 = 2 / 2 = 1
3) z-coordinate
mid z-coordinate = (4 + 2) / 2 = 6 / 2 = 3
So, the midpoint is (-1, 1 , 3)
Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute. Write an inequality that shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons.
Answers
4500 - 1500 = 3000
Because we need to represent an inequality:
30m = 3000
Divide both by 30:
m = 100
It will take 100 minutes
Answer:
Inequality is m ≤ 1000
Step-by-step explanation:
Capacity of the pool to hold the maximum water is = 4500 gallons of water.
Pool is already having 1500 gallons of water so remaining volume of the pool that can be filled is = 4500 - 1500 = 3000 gallons
Marcus begins to add 30 gallons water per minute and it takes "m" minutes to fill the remaining volume.
So amount of water required = 30m gallons
There is a condition that Marcus continues to add water without exceeding the maximum amount of water.
This means remaining amount "3m gallons" will be never cross the limit of "3000 gallons" of remaining volume of water.
Now we can form the inequality as 3m ≤ 3000
or m ≤ 1000
Therefore, answer is m ≤ 1000
hey can you please help me posted picture of question
Answers
Now, we need to find how many solutions the nonlinear system of equations graphed has
The points where these given graphs intersect will be the number of solutions.
We can see on the equations graphed that 3 points are where they intersect
[tex]\boxed {Therefore \ your \ answer \ will \ be \ option \ A }[/tex]
Find the final amount of $1000 investment after 9 years at 8% interest compound quarterly
Answers
1000 + 0.08(1000)
But because it is 9 years:
1000 + 9(0.08(1000))
1000 + 0.72(1000)
We can make it simpler:
1.72(1000)
Multiply:
1720
You will have $1720
6.
Valdez Construction signed a note with a payment of $5,200 per quarter for 5 years.
Find the amount they must set aside today to satisfy this capital requirement in an account earning 8% compounded quarterly.
$30,506.32
$126,346.32
$51,054.38
$85,027.44
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Where, PV = Present vale, C = Quarterly payments =$52,000, r = Annual interest rate = 8% = 0.08, n = Number of payments per year = 4, t= time of payment in years = 5
Substituting,
[tex]PV = 52000* \frac{1- (1+0.08/4)^{-4*5} }{0.08/4} = $85,027.53[/tex]
The closest answer is $85,027.44
The data set below shows the weights of some puppies, in pounds, at a kennel: 10, 11, 11, 12, 13, 13, 13, 14, 15 Which histogram represents the data set?
Answers
Group the data into 5 bins according to the table shown below.
Bin Count----- --------- 10 3 11 1 12 2 13 0 14 2 15 1
A plot of the histogram n shown in the figure.The data is skewed toward a value of 10, which has the largest frequency of 3.The average is 12, and the median is 12.
Answer:
I think it is C
Step-by-step explanation:
Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?
Answers
[tex] \frac{1 - 8}{8 - 1} = \frac{-7}{7} = -1[/tex]
The answer is -0.99, as this is the closest answer to the estimate we found.
Correlation coefficient measures the relationship between two variables in a scatterplot. Its value ranges from -1.0 to 1.0. You can estimate it by observing the direction and the closeness of the data points to a line of best fit.
Explanation:The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement. A correlation of -1.0 shows a perfect negative correlation, while a correlation of 1.0 shows a perfect positive correlation. A correlation of 0.0 shows no linear relationship between the movement of the two variables.
To estimate the correlation coefficient from a scatterplot, observe the tightness of the points around a line of best fit and whether the points are mainly increasing or decreasing. For tight points increasing, it's close to 1. For tight points decreasing, it's close to -1. If there's no pattern, it's close to 0.
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Booker own 85 video games. He has 3 shelves to put the games on. Each shelf can hold 40 video games. How many more video games do he have room for
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What percent of data is in quartile 1
Answers
25% of data is in quartile 1
Which number produces an irrational number when added to 2/5? A) 0.555... B) -0.4 C) -/`5 D) 2/7
Answers
Answer to this question is pie of 5
The number that produces an irrational number when added to 2/5 is 0.55....
What is a rational number?A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
To produce an irrational number when added to 2/5, the number must be irrational itself.
Therefore, options B, C, and D are eliminated since they are all rational numbers.
Option A, 0.555..., is a repeating decimal and can be expressed as a fraction of 5/9. When added to 2/5, we get:
2/5 + 5/9 = (18/45) + (25/45) = 43/45
Since 43/45 is not a rational number, the answer is A) 0.555...
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How many milliliters equal 1052 cm3? A. 1052 B. 1.052 C. 105.2 D. 10.52 30 points
Answers
Short answer: A. 1052 ml
Why?
1 cm = 1 ml, so what would that be? 1052 cm = 1052 ml.
Hope this helped you! ♥
Hello!
I believe the answer is A) 1052.
I hope it helps!
Hey can you please help me posted picture of question
Answers
1) Multiplication by -1.
This implies F(x) is flipped over x-axis
2) Multiplication by 1/3
This implies F(x) is compressed vertically
3) Addition of 4 to x.
This implies F(x) is shifted by 4 units to left.
Thus, G(x) is obtained from F(x) by flipping it across x-axes, compressing it vertically and shifting it towards left.
Thus, option C is the correct answer
Show that the sum, over the set of people at a party, of the number of people a person has shaken hands with, is even. assume that no one shake his or her own hand.
Answers
If we assume the total no. of people to be odd then the no. of handshakes
each person will have will be an even number.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Assuming the no. of total people to be 'n' and 'n' is an odd no.
Now if each person shakes hands with each other except their own hands each person will have (n - 1) no. of handshakes and (n - 1) or odd - 1 will always be an even no.
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The sum of handshakes is always even at a party as each handshake involves two people.
To show that the sum of handshakes is even:
Consider that each handshake involves two people, adding two handshakes to the total.
Since each person shakes hands with an odd number of people, the total sum of handshakes will be even.
Hence, the sum of the number of people a person has shaken hands with will always be even.
250 tickets are sold at a church fundraiser. if sara buys 15 tickets the probability the probability that she will win the prize quilt is
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= 15/250
= 0.06
= 6%
In a family with 8 children, excluding multiple births, what is the probability of having 7 boys and 1 girl, in any order? assume that a boy is as likely as a girl at each birth
Answers
The probability of having 7 boys and 1 girl in a family with 8 children is 1/128.
Explanation:To find the probability of having 7 boys and 1 girl in a family with 8 children, we can use the concept of combinations. There are 8 children in total, and we want to choose 7 boys and 1 girl from them. The probability of having a boy or a girl at each birth is 50%, so we can use the binomial coefficient to calculate the probability. The formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n is the total number of children and k is the number of boys we want. Plugging in the values, we get C(8, 7) = 8! / (7!(8-7)!) = 8. Therefore, the probability of having 7 boys and 1 girl in any order in a family with 8 children is 8 / 2^8 = 1 / 128.
please help........there are 3 problems
Answers
if
[tex]x^2+10x+21[/tex]
then
[tex]=x^2+7x+3x+21=x(x+7)+3(x+7)=(x+7)(x+3)[/tex]
Use a net to find the surface area of the prism.
•213 m^2
•426 m^2
•336 m^2
•306 m^2
Answers
SA=2(L×W)+2(L×H)+2(H×W)
SA=2(12×5)+2(12×9)+2(5×9)
SA=120+216+90
SA=426m²
Answer: 426m²
Multiple 3/4 times 16/9
Answers
Remark
Before doing the multiplication, you should do a cancellation. You can cancel fractions by dividing any numerator by the same thing that will go into any denominator or vica versa.
3 goes into 9 = 3
4 goes into 16 four times.
So the fraction cancellation looks like this.
[tex] \frac{ \frac{16}{4} }{ \frac{9}{3} } = \frac{ \frac{4}{1} }{ \frac{3}{1} } = \frac{4}{3} [/tex]
Two trains leave stations 532 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 100 miles per hours. How long will it take for the two trains to meet?
Answers
The two trains will meet in 2.4 hours.
What is the distance?Distance is defined as the product of speed and time.
We have been given that two trains depart from stations 532 miles apart at the same time and head in the opposite direction. The first train runs at 90 miles per hour, while the second at 100 miles per hour.
Let's assume x distance 90 mph train traveled
Then (532 - x) is the distance 100 mph train traveled
Travel time = distance/speed (equal in both directions)
⇒ x/90 = (532 -x)/100
⇒ 100x = 90× 532 - 90x
⇒ 100x + 90x = 47880
⇒ 190x = 47880
⇒ x = 47880/190
⇒ x = 252
So travel time = 252/90 = 2.4 hrs
Therefore, the two trains will meet in 2.4 hours.
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What is the scale factor of figure ABCD?
a. 1/3
b. 4/3
c. 3
d. the figure isn't dilated properly
Answers
measure ABCD=scale factor*[measure A1B1C1D1]
in the axis of the y coordinate
we have
scale factor=measure ABCD/measure A1B1C1D1
scale factor=3/1----->3
in the axis of the x coordinate
we have
scale factor=measure ABCD/measure A1B1C1D1
scale factor=8/6----->4/3
therefore
the answer is the option
d. the figure isn't dilated properly