Answer:
Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)
Step-by-step explanation:
What are the main things I need to know when doing variables on both sides of the equation?
Answer:
Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.
Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.
When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.
Is this relation a function? Justify your answer.
11
10
9
8
7
654321
1 2 3 4 5 6 7 8 9 10 11
OA. Yes, because every x-value corresponds with a single y-value.
OB. Yes, because the number of x-values is the same as the number of
y-values.
OC. No, because two points with the same y-value have different x-
values.
OD. Yes, because every x- and y-value is positive.
Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.
What is meant by function?A function is a relationship between a collection of inputs and one output per input. A function is, to put it simply, an association between inputs where each input is linked to exactly one output.For each function, a domain, codomain, or range exists. A function is often represented by the expression f(x), where x represents the input.A "chunk" of code that may be utilized repeatedly rather than having to be typed down repeatedly is called a function.Programmers can break a huge problem down into smaller components, each of which can perform a specific purpose, by using functions.Therefore,
(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)
Every input has a single output, proving that it is a function.
The elements in the domain of the provided relation are therefore 2,5,8,11,14, and 17.
Here, domain is equal to two and range is one.
(ii) (2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)
Every input has a single output, proving that it is a function.
Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.
Here, range is 1,2,3,4,5,6,7 and domain is 2,4,6,8,10,12,14.
(iii) (1,3),(1,5),(2,5)
Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.
The complete question is:
Which of the following relations are functions? Give reasons.
If it is a function determine its domain and range
(i) (2,1),(5,1),(8,1),(11,1),(14,1),(17,1)
(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)
(iii) {(1,3),(1,5),(2,5)
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Find the volume of the given prism. Round to the nearest tenth if necessary.
Find the surface area of the cylinder to the nearest whole number,
Answer:
18. 2,047.5 yd³
19. 3204 in.²
Step-by-step explanation:
18. Volume of triangular prism = triangular base area × height of prism
Height of prism = 21 yd
Triangular base area = ½*b*h
b = 15 yd
h = √(15² - 7.5²) = √168.75 ≈ 13 yd
Triangular base area = ½*15*13 = 97.5 yd²
Plug in the values into the formula of the volume of prism
Volume of prism = 97.5 × 21
= 2,047.5 yd³
19. Surface area = 2πrh + 2πr²
Where,
r = 15 in.
h = 19 in.
Plug in the values
Surface area = 2*π*15*19 + 2*π*15²
Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
D = 75°E = 37°F = 68 ° GivenStep-by-step explanation:
[tex](13x - 3) + (6x + 1) + (68) = 180 \\ 19x + 66 = 180 \\ 19x = 180 - 66 \\ x = \frac{114}{19} \\ x = 6 \\ \\ \\ d = 13x - 3 \\ d = 13(6) - 3 \\ d = 75 \\ \\ e = 6x + 1 \\ e = 6(6) + 1 \\ e = 37 \\ \\ f = 68 \\ \\ check \: \: \: 75 + 37 + 68 = 180[/tex]
I hope that is useful for you :)
you want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with M and ends with E?
A. 0.01
B. 0.02
C. 0.05
D. 0.10
Answer:
its C. 0.05 #edmentumgang
Step-by-step explanation:
Answer:
Option C is the correct anwer for plato
Step-by-step explanation:
C. 0.05
Determine the perimeter of the right triangle shown.
24 units
10 units
8 units
6 units
Answer:
A) 24 units----------------------------------
Find the legs first:
5 - (-3) = 8 units,4 - (-2) = 6 units.Find the hypotenuse using Pythagorean:
[tex]\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\ units[/tex]Find the perimeter:
P = 8 + 6 + 10 = 24 unitsCorrect choice is A.
Answer:
A) 24 units
Step-by-step explanation:
The perimeter of a triangle is the sum of its side lengths.
From inspection of the given right triangle:
Base = 8 unitsHeight = 6 unitsAs the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:
[tex]\implies c^2=a^2+b^2[/tex]
[tex]\implies c^2=8^2+6^2[/tex]
[tex]\implies c^2=64+36[/tex]
[tex]\implies c^2=100[/tex]
[tex]\implies c=\sqrt{100}[/tex]
[tex]\implies c=10[/tex]
Therefore, the perimeter of the given triangle is:
[tex]\implies 8+6+10=24 \; \rm units[/tex]
how do i do this
find the difference of 24-3k and 5k-11.
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
Solve the system with elimination. 2x+2y=4 x+3y=6
Answer:
Point Form:
(0,2)
Equation Form:
x=0,y=2
Step-by-step explanation:
For the question below, think carefully about what you divide 80 by to calculate the value of one part.
In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?
Answer:
200
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]
2 x 40 = 80, so
5 x 40 = 200
Answer:
200 houses
Step-by-step explanation:
Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses
Which expression could be used to determine the product of –4 and 3 and one-fourth?
(negative 4) (3) times (negative 4) (one-fourth)
(negative 4) (3) + (negative 4) (one-fourth)
(3) (negative 4) times (3) (one-fourth)
The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).
Which expression can be used to determine the product of the given word phrase?As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.
Since the given expression is; -4 and 3 and one-fourth; we have that;
-4 × 3 ¼
However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;
-4 × ( 3 + ¼ )
Ultimately, the resulting expression using the distributive property is;
( -4 ) ( 3 ) + ( -4 ) ( ¼ )
Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).
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The diameter of a circle measures 18yd . What is the circumference of the circle? Use3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
Given ,
The diameter of a circle measures 18ydTo Find : The Circumference of a circle
Radius can be the determined by the formula
[tex]r = \frac{d}{2} \\r = \frac{18}{2} \\r = 9yd[/tex]
Now we can apply the formula of the circumference of a circle which is,
[tex]Circumference = 2\pi r[/tex]
[tex]Circumference = 2X3.14X9[/tex]
[tex]Circumference = 56.52[/tex]
Hence , the Circumference of a circle is 56.52yd
Two numbers total 43 and have a difference of 11 Find the two numbers.
Answer:
27 and 16
27 + 16 = 43
And the difference between them ( 27-16) = 11
Step-by-step explanation:
There are 16 ounces in 1 pound, Juan is mailing a package that weighs 96 ounces. He wants
to know the weight of the package in pounds.
Answer:
96oz = 6 pounds
Step-by-step explanation:
96 divided by 16 = 6 pounds
Assuming there are 16 ounces in 1 pound, if he want to know the weight of the package. The weight of the package in pounds is 6 pounds.
Weight of the package in poundsUsing this formula
Weight in pounds=Weight /Ounces in 1 pound
Where:
Weight=96 ounces
Ounces in 1 pound=16 ounces
Let plug in the formula
Weight in pounds=96 ounces/16 ounces
Weight in pounds=6 pounds
Inconclusion the weight of the package in pounds is 6 pounds.
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help me please with this
Answer:
a) (0,-2)
b) [tex]\frac{1-(-2)}{3-0}[/tex]= 1
c) -3 or 9
Step-by-step explanation:
What is the volume of a right rectangular prism that measures 4 inches
long, 3 inches wide, and 6 inches high?
A
75 inches3
B.
13
1 inches
C.
72 inches
D
81 inches 3
Answer:
72
Step-by-step explanation:
you multiply length x width x height and you get your answer
‼️PLEASE HELP ASAP!!!!‼️
Select the table that represents a linear function. (Graph them if necessary.)
Equations of Exponential Functions
Given the following equation of an exponential function
R = 10.5(0.535)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?
a. b is 0.535; It is a growth factor.
b. b is 0.535; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.
Please select the best answer from choices provided
Answer:
B. B is 0.535; It is a decay factor.
Step-by-step explanation:
I calculated it logically
Answer:
B. b is 0.535; It is a decay factor.
What is the rate of change of the function y= 3/4x - 2
Answer:
rate of change = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
the slope is a measure of the rate of change , then
rate of change = [tex]\frac{3}{4}[/tex]
-2(t+7)=-4t+12 what is the value of t
9514 1404 393
Answer:
13
Step-by-step explanation:
-2(t +7) = -4t +12
t +7 = 2t -6 . . . . . . . divide by -2
13 = t . . . . . . . . . . . . add 6-t
Which graph represents the solutions to this equation?
X²+8x=-20
Answer:
The one with the vertex of (-4,4)
Step-by-step explanation:
Find the volume of the pyramid
If Braulio bought 34 spinners for $5.44, how much would he pay for 20 spinners? Estimate the unit rate, and then solve the problem. Write a paragraph to explain the process and justify your response.
Answer:
The estimated total cost for 20 spinners is $3.2.
Step-by-step explanation:
To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.
The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:
$5.44 / 34 spinners = $0.16 (approximately)
We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:
20 spinners * $0.16/spinner = $3.2
So the estimated total cost for 20 spinners is $3.2.
In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.
In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?
A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.
I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?
Therefore, the solution of given problem of percentage indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
A percentage is defined.A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.
Here,
Before any changes,
let w represent the size of the workforce. There are:
50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5
A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5
Reverse the first equation to create the second equation.
w(2001) = w(1999) * 1.5/1.5
Remove the 1.5 from the top and bottom so that w(2001) = w (1999)
Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
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Slope intercept form
Answer:
The formula for finding Slope Intercept Form is y = mx + b.
Step-by-step explanation:
Y - Y coordinate
M - Slope
X - X coordinate
B - Y Intercept
This formula is used for finding the equation of a line.
no links please
The elevator in the newest skyscraper downtown goes from the top floor down to the lowest level of the underground parking garage. If the building is 380 feet tall and the elevator descends 420 feet from top to bottom, how far underground does the parking garage go?
A.
40 feet
B.
790 feet
C.
30 feet
D.
800 feet
Three vertices of a rectangle are located on the coordinate plane shown below. Coordinate plane with points labeled Part A Which is the ordered pair for Point B? A. (2, 8) B. (6, 8) C. (6, 6) D. (8, 6) Part B Which point is at (8, 2)? A. A B. B C. C D. None of these Part C What are the coordinates of point A? Enter your answer in the boxes. ( , ) Part D What are the coordinates of the fourth vertex of the rectangle? Enter your answer in the boxes. ( , )
HELP!!
Answer:
Part A
Which is the ordered pair for Point B?
A. (2, 8)
B. (6, 8)
C. (6, 6)
D. (8, 6)
Part B
Which point is at (8, 2)?
A. A
B. B
C. C
D. None of these
Part C
What are the coordinates of point A?
Enter your answer in the boxes.
(
2
,
8
)
Part D
What are the coordinates of the fourth vertex of the rectangle?
Enter your answer in the boxes.
(
0
,
0
)Step-by-step explanation:
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Equation:
Solution X:
Answer:
3.5 hours to read
Step-by-step explanation:
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
total pages / reading rate per hour
Equation: 84/24
Solution: = 3.5 hours
simplify (2^3)^-2
A -1/64
B 1/64
C 2
D 64
Please help me.
11 Find the lateral area and surface area of a regular square pyramid with base edge length 6 m and slant height 8 m.
Answer:
area of square =length × length ×height
=6×6×8
=288
Math Kangaroo Brazil 2020 Grade 7-8 Question. Please Solve both question 25 and 26
According to the information, Jonas realized that the four-digit sequence showing the distance traveled was the same sequence showing the time at 22h10min (question 25). Also, Lady Josephine removed 1/2 of impurities of the package of beans (question 26).
How to calculate at what time Jonas realized the sequences of distance, and time were the same (Question 25)?To calculate at what time Jonas realized the sequences of distance and time were the same we have to perform the following mathematics operation:
21h00min - 22h10min = 1h10min = 70 min1 min = 0.016h70 min = 1.16h1.16h + 21h = 22.1h = 22h10minHow to calculate what fraction of the total amount of impurities was removed from the package (question 26)?To calculate what fraction of the total amount of impurities was removed from package we have to perform the following mathematical operation:
Total impurities in package: 8%Impurities removed from the package: 4%8 / 2 = 4According to the above, we can infer that 4% of impurities equals 50% or 1/2 of the total impurities in the package.
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