Answer:
Since h(x) is a one-to-one function, this means its inverse is also a function
Step-by-step explanation:
The key idea here is knowing that a function needs to be a 'many - to -one' operation (Many could also include one-to-one functions. The key if that for any x, there is only one f(x) value).
This means that for a function to have an inverse, it needs to be one-to-one. Since the domain and range switch when we look at inverse relations, and so if we have a many-to-one function, then it's inverse would be one-to-many. But we need it to be one-to-one. So the original function would need to be one-to-one.
However the short answer is to just know the 'theorem' which says that a function has an inverse function if and only if it is a one-to-one function.
Answer: c, the graph of the inverse of h(x) passes through the horizontal line test.
Step-by-step explanation:
Edge 2020
What is 13.2857142857 as a fraction
the fraction form of 13.2857142857 is[tex]\( \frac{1195714285713}{90000000000} \).[/tex]
To convert the decimal 13.2857142857 into a fraction, we can follow these steps:
Step 1: Let x = 13.2857142857
Step 2: Multiply x by 10 to move the decimal one place to the right:
x = 13.2857142857
10x = 132.857142857
Step 3: Subtract the original x from 10x to eliminate the decimal:
10x - x = 132.857142857 - 13.2857142857
9x = 119.5714285713
Step 4: Simplify the equation:
9x = 119.5714285713
Step 5: Divide both sides by 9:
[tex]\[x = \frac{119.5714285713}{9}\][/tex]
Step 6: Simplify the fraction:
[tex]\[x = \frac{1195714285713}{90000000000}\][/tex]
Now, the fraction form of 13.2857142857 is[tex]\( \frac{1195714285713}{90000000000} \).[/tex]
The Equation is 34 + 4 ⋅ 5 = ____. (input whole numbers only)
Answer:
54
Step-by-step explanation:
34 + 4 ⋅ 5 (by PEDMAS, do multiply first)
= 34 + 20
= 54
Answer:
54 :)
Step-by-step explanation:
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2, the fraction is now equal to .
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
Question:
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to [tex]\frac{1}{2}[/tex].
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
5n = 3d and n - 2 = 2d - 4
5n = 3d and 2n - 4 = d - 2
3n = 5d and 2n - 4 = d - 2
Answer:
5n = 3d and 2n – 4 = d – 2
Solution:
Let n be the numerator of the fraction and d be the denominator of the fraction.
Given the numerator and denominator of a fraction are in the ratio of 3 to 5.
This can be written as n : d = 3 : 5.
⇒ [tex]\frac{n}{d}= \frac{3}{5}[/tex] – – – – (1)
Do cross multiplication, we get
⇒ 5n = 3d
When the numerator and denominator are decreased by 2, the fraction is equal to [tex]\frac{1}{2}[/tex].
⇒ [tex]\frac{n-2}{d-2}= \frac{1}{2}[/tex]
Do cross multiplication, we get
⇒ 2(n –2)=1(d – 2)
⇒ 2n – 4 = d – 2
Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.
Answer:
5n = 3d and 2n – 4 = d – 2 is the answer
Step-by-step explanation:
Cindy’s apartment complex is offering renters insurance through their insurance company. The insurance company charges an annual premium of $565.00 which can be paid in equal payments throughout the year with her monthly rent. Cindys monthly rent is currently $789.00. What will Cindy's new rent be if she includes the renters insurance
Answer:
C: $836.08
Step-by-step explanation:
Edg 2020
The Cindy's new rent be if she includes the renters insurance is $836.08
We are given that;
An annual premium = $565.00
Now,
To find Cindy's new rent, we need to add the monthly payment for the renters insurance to her current rent.
To find the monthly payment for the insurance, we need to divide the annual premium by 12, since there are 12 months in a year. We get:
565 / 12 = 47.08
So, the monthly payment for the insurance is $47.08.
Adding this to Cindy's current rent, we get:
789 + 47.08 = 836.08
Therefore, by unitary method the answer will be $836.08.
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someone help me with this please.
Answer:
c. -51 i know bc i used a math app and it is always right
Step-by-step explanation:
welcome
Write the name of each angle arm
A to O to C
Answer:
∠AOC
Step-by-step explanation:
The statement "A to O to C" is talking about each of the points that form an angle. Each point is given a letter as its name.
The symbol ∠ means angle.
You need two lines to form an angle, and you need two points to form a line. By reusing one of the points, you need three points to form an angle. The point that is being reused is always the point in the middle, in this case, that point is called 'O'.
Jeremy has a deck of cards numbered 1-12. He picks one card and then replaces it. Then he picks another card. What is the probability he picks a 1 and then a 12?
Final answer:
The probability of picking a 1 and then a 12 from a deck of cards numbered 1-12 with replacement is 1/144, since each event is independent and each card has an equal chance of being selected.
Explanation:
The student asked about the probability of selecting a 1 and then a 12 from a deck of cards numbered 1-12, with replacement in between the picks. To find this, we need to consider the events independently, since the card is replaced after the first draw, meaning the probability of the second draw is unaffected by the first.
The formula to calculate the probability of independent events is P(A and B) = P(A) × P(B), where P(A) is the probability of the first event and P(B) is the probability of the second event occurring. Since each card has an equal chance of being picked from the deck, and there are 12 cards in total, the probability of picking any specific card, like a 1 or a 12, is 1/12.
Therefore, the probability of picking a 1 first and then a 12 is P(1 and then 12) = P(1) × P(12), which is equal to (1/12) × (1/12) = 1/144. So, the final probability is 1/144, or about 0.00694.
Which are rational numbers?
Check all that are true.
3⁄456
3⁄1
3⁄0
-191⁄32
an item is regularly priced at $75 it is now priced at a discount of 55% off the regular price
Answer:
$41.25
Step-by-step explanation:
part=%(whole)
x=55%(75)
x=0.55(75)
x=41.25
What is the value of x?
Enter your answer in the box.
°
Answer:
x = 127
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6, thus
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720 for x
120 + 100 + 128 + 133 + 112 + x = 720, that is
593 + x = 720 ( subtract 593 from both sides )
x = 127
At bright minds learning , 75% of employees work as instructors . If there are 300 employees at bright mind Learning , how many of them work as instructors ?
Answer:
225 employees work as instructors.
Step-by-step explanation:
You want to find what 75% OF 300 is, therefore multiplication will be required in this problem. First you want to convert 75% to a decimal which you could do by just bringing the decimal point to the left twice. which will give you the decimal 0.75.
Now multiply. 0.75*300=225. There are 225 employees that work as instructors.
Final answer:
To find out how many employees work as instructors at Bright Mind Learning, multiply 75% by the total number of employees. 225 of the 300 employees at Bright Mind Learning work as instructors.
Explanation:
To find out how many employees work as instructors at Bright Mind Learning, we need to calculate 75% of the total number of employees. First, convert 75% to a decimal by dividing it by 100: 75/100 = 0.75. Then, multiply this decimal by the total number of employees (300): 0.75 * 300 = 225.
So, 225 of the 300 employees at Bright Mind Learning work as instructors.
PLEASE HELP! A class has an average score of 75%. A test is taken with an average score of 60%. The test is graded on a curve so that 60%=75%. If Emalie's original score is 72%, what is her new grade after the curve? This is real life, as I'm trying to figure out my exam grade believe it or not!
Answer:
1.032%
Step-by-step explanation:
When Dahlia meets her fitness trainer, which quantity would be appropriate for describing the amount of milk she drinks
each day?
1.99 liters
2 liters
2.02 liters
2 liters and 5 milliliters
Answer
It would be 2 liters
Answer:
1.99 liters is the correct answer
Step-by-step explanation:
What scale factor is applied to shape B to make shape A
(A) 8 , 6 , 2 , 2
(B) 12, 9 , 3 , 3
To find the scale factor, compare the corresponding dimensions of the two shapes. Divide the dimension of shape A by the corresponding dimension of shape B to calculate the scale factor.
Explanation:In order to find the scale factor applied to shape B to make shape A, we need to compare the corresponding dimensions of the two shapes. The scale factor is determined by dividing the dimension of shape A by the corresponding dimension of shape B. In this case, we compare the lengths of the shapes, so the scale factor is determined by dividing the length of shape A by the length of shape B.
Let's calculate the scale factor:
For the length: A/B = 8/12 = 2/3For the width: A/B = 6/9 = 2/3For the height: A/B = 2/3 = 2/3Therefore, the scale factor is 2/3 for all dimensions of shape B to make shape A.
What is the fraction for 45 divided by 20 please show work
Final answer:
The fraction for 45 divided by 20 is written as 45/20, which can be simplified by dividing both the numerator and the denominator by their greatest common divisor, 5. This results in a simplified fraction of 9/4.
Explanation:
To find the fraction for 45 divided by 20, you can write it directly as a fraction, which is 45/20. This fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 45 and 20 is 5. To simplify the fraction, we divide both the numerator and denominator by 5.
Simplified fraction:
45 ÷ 5 = 9
20 ÷ 5 = 4
So, the simplified fraction for 45 divided by 20 is 9/4.
The circumference of great circle of a hemisphere is 44 cm. find the total surface area of the hemisphere
Answer:
I didn't know if you meant that the circumference of tje hemisphere was 44 or if the circumference of the cirkel in which the hemisphere exists is 44 but you rearrange the numbers.
Step-by-step explanation:
The formula for calculating a circumference is 2×pi×r, with r as tje radius of the cirkel. So in this instance we get 2×pi×r=44. r=44/(2×pi)=7.00 centimeters. The total surface area of a cirkel=pi×r^2=pi×7.00^2=154.06 meters squared. 154.06/2=77.03 meters squared (hemisphere is half of a cirkel)
To find the total surface area of the hemisphere, first find the radius of the hemisphere using the formula for circumference. Then, use the formula for the total surface area of a hemisphere to calculate it.
Explanation:To find the total surface area of the hemisphere, we need to first find the radius of the hemisphere. Since the circumference of the great circle is given as 44 cm, we can use the formula for circumference to find the radius: C = 2πr. Thus, 44 = 2πr. Solving for r, we have r = 44/(2π) = 7 cm.
The total surface area of a hemisphere is given by the formula A = 3πr^2. Plugging in the value of the radius, we get A = 3π(7^2) = 3π(49) = 147π cm^2.
So, the total surface area of the hemisphere is 147π cm^2.
Identify all points and line segments in the picture below.
Simplify the expression 7X3g
Answer:
21g
Step-by-step explanation:
you multiply the 7 and the 3 together and get 21
how to distribute -2(x-3)^2
The distributed form of -2(x-3)^2 is -2x^2 + 12x - 18.
Step-by-step explanation:
The given question is -2(x-3)^2
step 1 :The formula for (a-b)^2 = a^2 - 2ab + b^2
step 2 :Here, the term (x-3)^2 = x^2 - (2*3x) + 3^2
= x^2 - 6x + 9
step 3 :The expanded form = -2 (x^2 - 6x + 9)
step 4 : where -2 can be distributed to each term inside the bracket.
Therefore, -2(x^2 - 6x + 9) = -2x^2 + 12x - 18
Two angles in a triangle measure 28 degrees and 93 degrees. What is the measure of the third angle?
59 degrees
87 degrees
121 degrees
152 degrees
Answer:
59
Step-by-step explanation:
The three interior angles in a triangle will always add up to 180°, so:
180-93-28=59
The measure of the third angle is 59 degrees.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given are two angles of a triangle.
First angle = 28 degrees
Second angle = 93 degrees
We know that, the sum of the all the three interior angles of a triangle is 180 degrees.
Let x be the measure of third angle.
x + 28 + 93 = 180
x + 121 = 180
Subtracting 121 from both sides,
x = 180 - 121 = 59 degrees
Hence the third angle is 59 degrees.
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What is the y intercept of a graph containing the two points (3,1) and (7,-2)?
The y intercept of a graph containing the two points (3,1) and (7,-2) is [tex]\frac{13}{4}[/tex]
Solution:
Given points are (3, 1) and (7, -2)
The equation of line in slope intercept form is given as:
y = mx + c ------- eqn 1
Where, "m" is the slope of line and "c" is the y intercept
Let us first find the slope of line
The slope of line is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here the points are (3, 1) and (7, -2)
[tex](x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)[/tex]
Substituting in formula, we get
[tex]m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}[/tex]
To find the y intercept:
[tex]\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }[/tex]
[tex]1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}[/tex]
Thus y -intercept is [tex]\frac{13}{4}[/tex]
Which of the following statements best explains how the graphs misrepresent the data?
A.The graphs were created with different colors.
B.The graph for City B makes its population appear much smaller, but its population is only a little smaller than City A.
C.The graphs use different scales, making it appear that City A has a larger population than City B.
D.The graphs do not include information for the years between 1950 and 2000, so there is not enough information to compare their populations.
Answer:
i believe the answer is C
Evaluate [ sin^2 -(cos^2@)(sin^2)]^-1 for @=30 degrees. The value of this expression is
Answer:
Step-by-step explanation:
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.
− sin ( π 2 )
The exact value of sin ( π 2 ) is 1 .
-1.1
Multiply
− 1 by 1 .
−1
SIN (3 PIE/2)
Round 87,067 to the nearest ten thousand
Answer:
87067=90000
Step-by-step explanation:
because 7 is bigger than 8 so its90000
Answer:
90,000
Step-by-step explanation:
Please help!!!!! ASAP
Answer:
ok
Step-by-step explanation:
asap
Carol types 57 words in 3 minutes.how many words would she type in 1 hour?
Answer:
1,140 words
Step-by-step explanation:
57/3 = 19 words per minute
there are 60 minutes in an hour
19x60 = 1140
If Carol is able to type 57 words in 3 minutes, then in one hours time she will be able to type 1140 words.
Number of words Carol typed in 1 hours is;Let the number of words typed in 1 hours be represented as y
So that;
57 words are typed in 3 min
We know that 60 minutes makes 1 hour
57 words typed in 0.05 hour
y words typed in 1 hours
We cross multiply
57 words × 1 hour = y × 0.05 hour
y = 57hours / 0.05 hours
y = 1140 words
If Carol is able to type 57 words in 3 minutes, then in one hours time she will be able to type 1140 words.
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If angle 1 is 110°, what would the other angle measures
have to be in order for m ll n and
all p?
Angle 2=
Angle 3 =
Angle 4 =
Answer:
Angle 2= 110 degrees
Angle 3 = 70 degrees
Angle 4 = 70 degrees
Step-by-step explanation:
Finding angle 2
In the figure attached below,the angles 1 and 2 Corresponding angles
When two lines are crossed by another line that is called the Transversal, then, the angles in matching corners are called corresponding angles.
Corresponding angles are equal so
angle 2 = 110 degrees
Finding angle 3
Similarly 2 and 3 are consecutive angles and Consecutive angles are supplementary . That is the sum of the consecutive angles is 180 degree
then
angle 2 +angle 3 = 180
110 + angle 3 = 180
angle 3 = 180 -110
angle 3 = 70 degrees
Finding angle 4
Now angle 3 and angle 4 are alternate interior angle and they are equal
angle 3 = angle 4
so angle 4 is 70 degree
Answer:
110
70
70
Step-by-step explanation:
cause i got it right
azmin is completing an art project. She has two pieces of construction paper. The first piece is 44 cm wide and the second piece is 33 cm wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible. How wide should Jazmin cut each strip?
Answer:
11 cm
Step-by-step explanation:
Answer:
is there a picture
Step-by-step explanation:
Which data set below has the weakest correlation?
The weakest correlation is indicated by a correlation coefficient that is close to 0. This shows that there is little to no predictable relationship between the two variables.
Explanation:The data set with the weakest correlation will have a correlation coefficient value closest to zero. The correlation coefficient is a measure of the relationship between two variables. Its value ranges from -1 to 1. A value of -1 indicates a perfect negative correlation, a value of 1 indicates a perfect positive correlation, and a value of 0 indicates no correlation. The direction of the correlation is indicated by whether the value is positive or negative, whereas the strength of the correlation is indicated by how close the value is to -1 or 1.
For example, consider two variables, hours of sleep and performance on a test. If the correlation coefficient is close to 1, this suggests that as one variable increases (hours of sleep), the other variable (test performance) also increases. This would be a strong positive correlation. But if the correlation coefficient is close to 0, there is a weak or no correlation, meaning the variables (for example, shoe size and hours of sleep) do not move together in a predictable way.
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Ali runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes
Answer:
Ali would run 2.8 miles in 24 minutes.