Answer:
Step-by-step explanation:
The domain and range of these two functions are identical.
The domain is "all real numbers."
The range is also "all real numbers."
Answer:
Domain of both given functions is the set of real numbers.
Range of both given functions is the set of real numbers.
Step-by-step explanation:
Given functions are
f(x)=5x
And g(x)= 5x
First, we solve for f(x)
F(x)=5x
Put x=0 then we get
f(x)=0
Now , put x=1 then we get
f(x)= [tex]5\times1=5[/tex]
Put x=2 then we get
f(x)=[tex]5\times2=10[/tex]
Therefore, we can see domain of function f(x) can be set of real numbers and range of function f(x) can be set of real numbers .Because the function is define at every value of x.
Both function are the same
Therefore , the domain of both function is same and range of both functions is same .
Hence, the domain of both functions is the set of real numbers and range of both functions is the set of real numbers.
What is the approximate probability that a person is in the 45-54 age group given that they liked the movie?
A.1
B.0.52
C.0.35
D.0.18
Answer:
d.
Step-by-step explanation:
12+5+9+3+13+8=50=total
divide the total by the amount of 45-54s that liked the movie
9/50=0.18
find the first five terms of a1=1/3 and d=1/2
Answer:
1/3, 5/6, 4/3, 11/6, 7/3.
Step-by-step explanation:
This is an arithmetic sequence where you add 1/2 to each term to get the next one.
a1 = 1/3 so a2 = 1/3 + 1/2 = 5/6, and a3 = 5/6 + 1/2 = 4/3.
The first 5 terms are:
1/3, 5/6, 4/3, 11/6, 7/3.
In a circle with a 12-inch radius, find the length of a segment joining the mid-point of a 20 inch cord and the center of the circle
Check the picture below.
Teach me how to yeet
Answer:
d
Step-by-step explanation:
I'm thinking the last one
While 'yeet' is not an academically defined term, it typically refers to the act of throwing something with force. Drawing from a story on LibreTexts, one can learn the technique for effectively throwing objects such as a horseshoe, which involves grip, stance, focus on the target, and a smooth release.
To throw a horseshoe effectively, similar to learning how to "yeet," one must:
Hold the horseshoe in a comfortable but firm grip with your thumb along one of the sides of the horseshoe.
Stand at the designated throwing line and focus on the stake you're aiming at.
Swing your arm forward smoothly and release the horseshoe when your hand is about waist-high, keeping your eyes on the target for accuracy.
What is the smallest prime factor of 1821?
Answer: 3×607
Step-by-step explanation:
Prime factor is a number that can be divided by itself and 1 to get the quotient 0. so according to 1821 this can be divided by 1 and 3 to get a 0 quotient so because 1(unique number ) is not considered as a prime factor 3 is the answer for this question.
Which expression is equivalent to 8a + 20? (5 points)
Select one:
a. 4(2a + 20)
b. 4(2a + 5)
c. 4(4a + 16)
d. 4(4a + 5)
It is B that is correct because:
4(2a + 5) = 8a + 20
Answer:
The answer is B. Hope it Helps
Step-by-step explanation:
What is the value of X?
These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:
x + 40 = 3x
Combine like terms
(x-x) + 40 = 3x - x
40 = 2x
Isolate x
40/2 = 2x/2
x = 20
Hope this helped!
Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?
Answer:
Infinitely many solution
Step-by-step explanation:
The given equations are:
y = 3x + 2
3y = 9x + 6
We graph the two equations as shown in the attachment.
We can see that the second equation is lying on top of the first one.
This means that, they have infinitely many solutions.
Answer:
The provided system of equations have infinitely many solutions.
Step-by-step explanation:
Consider the provided system of equations:
y = 3x + 2 and 3y = 9x + 6
Now use the graphing technology in order to draw the graph of the equations.
The graph of the provided system of equations is shown in figure 1:
As it can be observed that the second equation is lying on top of the first one.
Therefore, they have infinitely many solutions.
How do you do this?
Express the area of a rectangle with length 5m4 and width 6m2 as a monomial
To express the area of a rectangle as a monomial, multiply the length and width. This gives 30m6.
Explanation:The area of a rectangle is calculated by multiplying its length and width. For a rectangle with length 5m4 and width 6m2, to express the area as a monomial, you multiply these two together. So, the area A = 5m4 * 6m2.
In terms of exponents, when we multiply terms with the same base (in this case, m), we add up the exponents. Thus, A = 30m4+2 = 30m6. Therefore, the area of the rectangle expressed as a monomial is 30m6.
Learn more about Monomial here:https://brainly.com/question/9183135
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y is two times the value of x
The equation is y=
Y=2x should be correct
Y is two times the value of X, which can be represented as Y = 2X.
This indicates a directly proportional relationship between Y and X, where Y increases as X increases.
I know the answer but I need to understand HOW to get it. Bailey will roll a number cube and flip a coin for a probability experiment. The faces of the cube are labeled 1-6. The coin can land on heads or tails.If Bailey rolls the number cube once and flips the coin once which list contains only the outcomes in which the number cube lands on a number greater than 4.
The right answer was a list with says:
5, Heads
5, Tails
6, Heads
6, Tails
Answer:
Total output= H5, H6,T5, T6
Step-by-step explanation:
Bailey will roll a number cube and flip a coin for a probability experiment.
The faces of the cube are labeled 1-6= 6 possible outcomes
The coin can land on heads or tails= 2 possible outcomes
If Bailey rolls the number cube once= 1 output
and flips the coin once = 1 output
Total output will be combined outcome of cube and coin:
possible outcome of cube= 1, 2, 3 , 4 , 5, 6
possible outcome of coin= H, T
(H for heads and T for tails)
Total output =possible combined outcome of cube and coin= H1, H2, H3 , H4 , H5, H6, T1, T2, T3 , T4 , T5, T6
Now
the outcomes in which the number cube lands on a number greater than :
reduces the total required output by removing the combination when the number cube lands on a number less than or equals to 4
therefore removing H1, H2, H3 , H4 and T1, T2, T3 , T4 from the total outcome will result in following list:
Total output= H5, H6,T5, T6 i.e.
5, Heads
5, Tails
6, Heads
6, Tails !
Can someone help me with this
Answer:
if you simplify and solve you will get y=3
Answer:
x=3
Can you mark me as brainliest???
If the area of BAC=8, what is the area of EDF. Enter a decimal rounded to the tenths.
PLEASE NEED HELP
Answer:
4.5 in²
Step-by-step explanation:
Given that the triangles are similar then
linear ratio of corresponding sides = 3 : 4, then
ratio of corresponding areas = 3² : 4² = 9 : 16
let the area of ΔEDF be x then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )
16x = 72 ( divide both sides by 16 )
x = 72 ÷ 16 = 4.5
Area of ΔEDF = 4.5 in²
An electronics store had a 20% off sale,if a stereo originally cost $125,how much did the stereo cost during the sale
100 dollars because yeah
Which fraction is equivalent to
4/9?
14/19
2/3
6/11
8/18
Answer:
8/18
Step-by-step explanation:
[tex]\frac{4*2}{9*2} =\frac{8}{18}[/tex]
Answer:
8/18
Step-by-step explanation:
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 m³. What is the volume of the sphere? 6 m² 7 m³ 14 m³ 28 m³
Answer: Third option
[tex]V_s=14\ m^3[/tex]
Step-by-step explanation:
The volume of a sphere is:
[tex]V_s=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere
The volume of a cylinder is:
[tex]V_c = \pi r ^ 2 h[/tex]
Where h is the height of the cylinder and r is the radius
We assume that the height of the sphere is its diameter or 2 times its radius.
Then [tex]2r = h[/tex]
[tex]V_c= 21\ m^3=\pi r ^ 2 h[/tex]
[tex]V_c= 21\ m^3=\pi r ^ 2(2r)[/tex]
We solve the equation for r
[tex]\frac{21}{2\pi}=r ^ 3\\\\r= \sqrt[3]{\frac{21}{2\pi}}\\\\r=1.495\ m[/tex]
The radius of the cylinder is equal to the radius of the sphere
Finally
[tex]V_s=\frac{4}{3}\pi (1.495)^3[/tex]
[tex]V_s=14\ m^3[/tex]
618 runners registered for the marathon. Of these runners 0.8% completed the race in under 2 hr 15 min. a) how many runners completed the race in this time?
EXPLAIN HOW TO SOLVE THIS
Answer:
Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.
Step-by-step explanation:
0.8/100 = x/618
618(0.8) = 100x
494.4 = 100x
/100. /100
x = 4.944
The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
618 runners registered for the marathon. Of these runners, 0.8% completed the race in under 2 hr 15 min.
Let "N" be the number of runners who completed the race. Then the equation is given as,
0.8% = (N / 618) x 100
0.008 = N / 618
N = 0.008 x 618
N = 4.944
N ≈ 5
The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Which function is the inverse of (x) = -5x-42
Answer:
f-1(x) = (-1/5)x - 42/5
Step-by-step explanation:
f(x) = -5x - 42
Switch the x and y
x = -5y - 42
solve for y
-5y = x + 42
y = (-1/5)x - 42/5
Please answer right away
Answer:
0.42
Step-by-step explanation:
There are 12 different paths to the end. Five of those paths lead to money.
p(winning money) = 5/12 = 0.42
Find the measure of each interior angle of a regular convex dodecagon. Show equations and all work that leads to your answer.
The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure
[tex]\dfrac{360^\circ}{12}=30^\circ[/tex]
Exterior angles are complementary to interior angles, which means each interior angle has measure
[tex]180^\circ-30^\circ=\boxed{150^\circ}[/tex]
Can someone please help me with this question please.
Step-by-step explanation:
[tex](a)\\h-\text{number of hours}\\\\8\dfrac{1}{5}\cdot h=32\dfrac{4}{5}\\(b)\\\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{8\cdot5+1}{5}h=\dfrac{32\cdot5+4}{5}\\\\\dfrac{41}{5}h=\dfrac{164}{5}\qquad\text{multiply both sides by 5}\\\\41h=164\qquad\text{divide both sides by 41}\\\\h=4[/tex]
[tex]\text{Answer:\ 4\ hours}[/tex]
A car cost $20,000 when it was purchased. The value of the car decreases by 8% each year. Find the rate of decay each month and select the correct answer below. −0.006924% −0.006667% −0.666667% −0.0081%
To find the monthly rate of decay, we convert the annual decay rate of 8% to a monthly rate using the formula for compound interest. The monthly rate comes out to be approximately -0.6734%, which is closest to the provided option of -0.667%.
To find the monthly rate of decay for a car that depreciates 8% annually, we should convert the annual decay rate to a monthly decay rate assuming compound interest. This calculation involves using the formula for converting an annual percentage rate to a monthly rate when compounded monthly:
Monthly rate = [tex](1 + Annual rate)^(1/12)[/tex] - 1
Substitute the given annual rate of decay (-0.08 or -8%) into the formula:
Monthly rate = [tex](1 - 0.08)^(1/12)[/tex] - 1
This calculation gives us:
Monthly rate = [tex](0.92)^(1/12)[/tex] - 1
Approximately -0.006734
Expressed as a percentage, the monthly rate of decay is approximately -0.6734%, which means the correct answer is not exactly presented in the choices. However, the closest value from the options provided is -0.667%.
Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. If footware manufacturing had 1.8 billion dollars of output in 2006, approximately how much output is expected in 2016?
Answer:
The output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion
Step-by-step explanation:
The output is decreased by 8.4% from 2006 to 2016.
Amount of output in 2006 = 1.8 billion dollars
Decrease in output = 8.4%
We need to find the 8.4% of 1.8 billion dollars and then subtract the result from 1 billion dollars.
We know 1.8 billion = 1,800,000,000 or 1.8 x 10^9
8.4% of 1.8 billion = 8.4/100 * (1.8 x 10^9)
= 151200000
So, Output expected in 2016 = 1.8 x 10^9 - 151200000
= 1648800000 or 1.6488 x 10 ^9
So, the output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion.
Answer:
It would be D
Step-by-step explanation:
$1.65 billion
How do you get the answer for 3n+5 I’m trying to get my grade up from a C so how do you find this answer?
I think it’s six because 3n=6-5 3 n=6-5 then subtract 5 5 from 6 6
What are the solutions of the equation 4x+21=−(13)x+4+6 ?
Answer is -11/17.
I've attached an image to show you how I got this answer.
11/17 THERE YOU GO YOU ARE WELCOME
What is the longest side of the triangle shown?
Side DE
Side OD
Side OE
Side DE is the longest side of the triangle.
Answer:
Side DE
Step-by-step explanation:
Hello, the answer to your question is side DE.
According to one of the inequality theorems, it says that if two angles in a triangle are not equal, the side opposite to the largest angle is the longest side. Therefore, the side opposite 110* is side DE.
Hope this helps.
Which of the following statements is logically equivalent to, "If it is a holiday, then there is no school"?
Answer: If there is school, then it is not a holiday.
Step-by-step explanation:
Very easy just do
Contrapositive= negation and reverse
find the value of x
5x+15+6x-10=180
Combine the common factors.
11x + 5 = 180
Subtract 5 from both sides.
11x = 175
Divide 11 from both sides to isolate the x.
x = 15.90909091
Answer:
x = 175/11
Step-by-step explanation:
Step 1: Combine like terms
11x + 5 = 180
Step 2: Subtract 5 from both sides.
11x = 175
Step 3: Divide 11 from both sides
x = 175/11
the art museum charges $13 for each adult admission and $8 for each child the total bill for the 182 people from a achool trip was $1606 how many adults and children went to the museum?
Answer:
152 kids and 30 adults
Step-by-step explanation:
To solve this, we must create a system of equations
Suppose:
x = the number of adults
y = the number of children
We know that a total of 182 people attended the trip.
So:
x + y = 182
This equation represents the number of people attending the trip.
To find out the cost, look at the problem.
It costs 13$ for one adult and 8$ for a child.
So:
13x + 8y = 1606
This equation represents the total cost to attend the museum. Now, we must solve.
[There are two ways to solve a system of equations, substitution and adding/subtracting. I will use adding and subtracting. The steps to solving the system of equations is in the photos below]
The final answer is 152 kids and 30 adults
I hope this helps!!! :)
470.47 in expanded form
Four hundred seventy and forty seven hundredth
Final answer:
The number 470.47 in expanded form is expressed as the sum of each digit's value according to its place value, which is 400 + 70 + 0 + 0.4 + 0.07.
Explanation:
You've asked to write the number 470.47 in expanded form. Writing a number in expanded form is a way of expressing the number as the sum of the values of each digit according to its place value. Here is how you convert 470.47 into expanded form:
400 (4 in the hundreds place is worth 400)
70 (7 in the tens place is worth 70)
0 (0 in the ones place doesn't add any value)
0.4 (The digit 4, after the decimal, represents 4 tenths or 0.4)
0.07 (The digit 7, in the hundredths place, represents 7 hundredths or 0.07)
Therefore, 470.47 in expanded form is: 400 + 70 + 0 + 0.4 + 0.07.