Answer:
Step-by-step explanation:
If the total number of potions is p, then we can write (2/5)p to represent the number of potions needed.
Wasn't the total number of potions given?
This is for pre calculus, please help
Answer:
The correct answer is:
[tex]g(x) = x+1[/tex]
Step-by-step explanation:
Given that:
[tex]h(x) = f\circ g(x)= \sqrt[3]{x+3}[/tex]
[tex]f(x) = \sqrt[3]{x+2}[/tex]
To find:
[tex]g(x) = ?[/tex]
Solution:
Let [tex]g(x) = m[/tex]
We have
[tex]f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}[/tex]...... (1)
Now, we have let:
[tex]g(x) = m\\\therefore f(g(x)) = f(m)[/tex]
Putting x = in f(x), we get
[tex]f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}[/tex]....... (2)
Comparing equation (1) and (2):
[tex]\sqrt[3]{x+3} =\sqrt[3]{m+2}[/tex]
Taking cubes both sides:
[tex]x+3=m+2\\\Rightarrow m = x+3-2\\\Rightarrow m = x+1[/tex]
[tex]\therefore g(x) = x+1[/tex]
Hence,
The correct answer is:
[tex]g(x) = x+1[/tex]
HELPPPP NOW Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answer:
$54 for 4 months $89 in total
Step-by-step explanation:
Lisa paid $35 at first
then she paid 0.75 per song which is 0.75 *18 = $13.5
Then just multiply 13.5 by 4 b/c of 4 months
The total amount Liza has spent after 4 months is $89.
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.
Given that, Lisa paid $35.00 to join an online music service, she purchases 18 songs each month at a cost of $0.75 per song,
we need to find the total amount she paid after 4 months,
So, the cost of 18 songs = 0.75 x 18 = $13.5
The cost of 18 songs in 4 months = $54
Now, the total amount she paid = $54 + $35 = $89
Hence, the total amount Liza has spent after 4 months is $89.
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Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.
Answer:
Option 2 and option 4
Step-by-step explanation:
option 2:
(2,2) ; (2*2 , 2*2)= (4,4) ; (2*3, 2*3) = (6 , 6)
Option 4:
(4 ,1 ) ; (4*2 , 1*2) = (8 , 2) ; (4*3 , 1*3) = (12 , 3)
BOSE
Consider the quadratic function.
f(p) = p? – Sp-5
What are the values of the coefficients and the constant in the function?
a = -1, b = -8, c = -5
a = 1, b= -5, C = -8
a = 1, b = -8, c = -5
a = -1, b = -5, C = 8
Answer:
a = 1 ; b = -8 ; c = -5
Step-by-step explanation:
f(p) = p² - 8p -5
a = co-efficient of p² = 1
b = co-efficient of p = -8
c = constant = -5
the box plot represents the number of math problems on the quizzes for an algebra course.
what is the range of the data?
6
7
9
10
The range of the data is 10.
What is Box Plot?Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.
Given is a box plot.
Range of a data set is the difference between the highest and the lowest point.
The highest and lowest point of the data set is the points where the whiskers of the box plot extends to.
Here, whiskers extends from 5 to 15.
Range = Maximum - Minimum
= 15 - 5
= 10
Hence the range of the data set is 10.
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a miving company's moving rates can be represented by the function f(x)=3x+400, where x is the number of miles for the move. Another moving company's rates can be represented by the function g(x)=5x+200. Which function represents the difference between the moving companies rates , h(x)=f(x)-g(x)?
A) h(x)=-2x+200
B) h(x)=-2x+200
C) h(x)=5x-200
D) h(x)=5x+600
Answer:
Option a
Step-by-step explanation:
This is a nice simple problem!
Given that the function f( x ) is equivalent to 3x + 400, respectively g( x ) = 5x + 200, all we are being asked to do is find their difference. Substitute the given values as such -
h( x ) = f( x ) - g( x )
⇒ h( x ) = ( 3x + 400 ) - ( 5x + 200 ) - Distribute negative sign, taking out ( )
⇒ h( x ) = 3x + 400 - 5x + 200 - Combine like elements
⇒ h( x ) = - 2x + 200
And there you have it! Our solution should be option a ( h( x ) = - 2x + 200 )
If you would like, there is a graph of the function in the attachment below.
Answer:
It's B on edge!
What type of function is represented in the table? exponential linear quadratic logarithmic
Answer:
quadratic
Step-by-step explanation:
Linear function is represented by the data given on the table.
What is linear equation?" Linear equation is an algebraic expression in which highest exponent of the given variables is one. It represent a straight line."
General form of linear equation
y = ax + b
According to the data given in the table,
When x = 0 , y = -3 ,
Substitute the given values of x and y in general form of linear equation
- 3 = a × 0 + b
⇒ - 3 = b ____(1)
When x = 1 , y = 5
5 = a × 1 + b
5 = a + b ____(2)
Substitute the value of b in (2) we get,
5 = a + ( -3)
⇒ a = 8
Substitute the value of 'a' and 'b' in general form of linear equation and check whether it is true for other values of x and y.
y = 8x - 3
check for the x = 2
y = 8(2) -3
⇒ y = 13
Yes , it is correct.
When x =3
y = 8 (3) - 3
⇒ y = 21
It is correct.
Hence, we conclude that Linear function is represented by the data given on the table.
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The accompanying graph shows the amount of
water left in Rover's water dish over a period of
time.
Amount of Water in Rover's Water Dish
500
400
300
Amount of Water (mL)
200
100
0 15 30 45 60 75 90 105
Time (seconds)
How long did Rover wait from the end of his first
drink to the start of his second drink of water?
A
10 sec
B. 30 sec
C. 60 sec
D. 75 sec
Answer:
The answer is B. 30 seconds
If I have 2 circles, circle A has a radius of 2, and circle B has a radius of 3. What is the ratio of the radius of circle A to circle B? For some reason I am drawing a blank. I know this is super simple. I am wanting to say 1:1.5 but that doesn't sound right.
Attempt 1 of 1
Jamin wants to paint a wall in his bedroom. In order to know how much paint to buy, he first needs to know the
approximate area. There is a window in the middle of the wall, so he'll only need to paint the shaded part shown. How
many square feet is just the window? [Note: The wall and window are both rectangular.)
611
2
18 in.
81
>
362
0742
1.5 ft2
32
O
Type here to search
-
12:36 PM
7/10/2020
is this right??
Answer:
Step-by-step explanation:
Window is in the shape of rectangle
Area of the rectangular window = length * width
= 18 * 2
= 36 ft²
Answer:
36
Step-by-step explanation:
i got 100%(❁´◡`❁)
PLEASE HELP PLEASE triangle sériese!!!!!!!!
Answer:
1/4+1/16+1/64+1/256+1024
Sorry if i am wrong
If i am right please make me brainliest
Answer:
341/1024 (or) 0.333
Step-by-step explanation:
1st) 1/4 of 1 = 1/4
2nd) 1/4 of 1/4 = 1/16
3rd) 1/4 of 1/16 = 1/64
4th) 1/4 of 1/64 = 1/256
5th) 1/4 of 1/256=1/1,024
so 1/4+1/16+1/64+1/256+1/1024with the same common denominator is
256/1024+64/1024+ 16/1024+4/1024+1/1024=
341/1024
How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable and the boxes are distinguishable?
Answer:
There are 243 ways but the balls in the boxes.
Step-by-step explanation:
There are 109375 ways to put 5 balls in 2 boxes when the balls and boxes are distinguishable by using counting principles and combinatorics
To solve this problem, use the concept of the multiplication principle, also known as the multiplication rule of counting.
Here's a step-by-step explanation:
Determine the number of choices for each ball: Since the balls are distinguishable, we have 5 choices for the first ball, 5 choices for the second ball, and so on, until we have 5 choices for the fifth ball. This can be represented as:
[tex]5 \times 5 \times 5 \times 5 \times 5.[/tex]
Determine the number of choices for each box: Since the boxes are distinguishable, each ball can be placed in either box 1 or box 2. Thus, there are 2 choices for each ball. This can be represented as:
[tex]2 \times 2 \times 2 \times 2 \times 2.[/tex]
To find the total number of ways, we multiply the number of choices for each ball with the number of choices for each box:
Total number of ways [tex]= (5 \times 5 \times5 \times5 \times5) \times(2 \times2 \times2 \times2 \times2)[/tex]
On multiply gives:
= 3125\times 32 = 109,375.
Therefore, there are 109375 ways to put 5 balls in 2 boxes when the balls and boxes are distinguishable.
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Solve this quadratic equation by completing the square.
x2 + 8x= 10
A. X=-8 + V10
B. x= -4 26
O C. X= -8 + V26
D. X=-4 + V10
SUBMI
DO
Answer:
B
Step-by-step explanation:
Marcus is saving up his money to buy a television that costs $395.50. Right now he has $85.00, and can save $29.00 each week. How many weeks will it take for Marcus to have enough money to buy the television?
Answer:
11 weeks
Step-by-step explanation:
He has 85 and can save 29 each week. This must be greater than the cost of the tv
85 + 29 w > 395.50
Subtract 85 from each side
85 -85 + 29 w > 395.50-85
29w >310.50
Divide by 29
29w/29 > 310.5/29
w >10.70689655
The number of weeks must be greater than 10.7 so rounding up
He must save for at least 11 weeks
A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centimeters (cm3).
Answer:
V = 65.548 cm³
Step-by-step explanation:
We have,
Volume of a ball is 4 cubic inches or [tex]4\ \text{inch}^3[/tex].
We know that, 1 inch = 2.54 cm
It is required to convert this volume to cubic centimetre or [tex]\text{cm}^3[/tex].
[tex]4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3[/tex]
So, the volume of the ball is 65.548 cm³.
Find the perimeter Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. How much fencing material does Jose need to enclose the garden? Question 2 options: a) 257.4 feet b) 1287 feet c) 144 feet d) 72 feet
Answer:
144
Step-by-step explanation:
2(39+33)
2(72)
144
=144
Diagram NOT
accurately drown
28
A, B and Care points on a circle, centre 0
Angle ABC = 389
Work out the size of angle OAC
Give a reason for each stage of your working
Answer:
m(∠OAC) = 52°
Step-by-step explanation:
A, B and C are the pints on a circle with center O.
m(∠ABC) = 38°
By the central angle theorem,
"Central angle subtended by two points on a circle measure the twice of the inscribed angle subtended by these points."
m(∠AOC) = 2m(∠ABC)
m(∠AOC) = 2 × 38° = 76°
Now in ΔAOC,
AO and OC are the radii, so the angles opposite to radii will measure the same.
∠OAC ≅ ∠OCA
Since, sum of all the interior angles of a triangle is 180°.
m(∠OAC) + m(∠OCA) + m(∠AOC) = 180°
m(∠OAC) + m(∠OAC) + 76° = 180°
2m(∠OAC) = 180° - 76°
2m(∠OAC) = 104°
m(∠OAC) = 52°
What are the domain and the range of this function?
Answer:
domain: -5≤x<1
range: -4≤y<7
Step-by-step explanation:
The domain of the line segment will be [-5, 1) and the range of the line segment will be [-4, 7).
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
The domain means all the possible values of x and the range means all the possible values of y.
From the graph, the domain of the line segment will be [-5, 1) and the range of the line segment will be [-4, 7).
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Question 1 (1 point)
3. Each week Mohammad works 3 — hours on Monday, 3 hours on Tuesday, 2 hours on
2
1
Wednesday, 2-hours on Thursday, and 4 hours on Friday. How many hours does he work per
4
week? (2 marks)
Answer:
56 Hours
Step-by-step explanation:
=3+3+2+2+4=14
=14*4=56 Hours
Assuming that I read this correctly, Mohammad works 3 hours Monday, 3 hours Tuesday, 2 hours on Wednesday, 2 hours on Thursday and 4 hours on Friday. All you have to do is add all the hours he worked each week. So that would look like this. ->
3+3+2+2+4=14
Mohammad is working for 14 hours this week.
Since he has to know how many hours he is working this month (4 weeks) . He needs to multiply his weekly hours by 4. So 14*4 is 56.
56 Hours is your answer
Somebody please help me!!!
Answer:
512.
according to the instructions you are told to drag and carry the numbers in the box below to the correct destination in the sequence until the ninth value.
If its not correct drag to the trashcan to delete
Step-by-step explanation:
2, -4, 8, -16, 32, -64, 128, -256,512
that's the sequence to be filled in
Find the missing length to the attached triangle.
Answer:
? = 140
Step-by-step explanation:
Use similar triangles and laws of proportions.
36/56 = 90/?
36 * ? = 56 * 90
? = 56 * 90/36
? = 140
A person purchased a $239,127 home 10 years ago by paying 15% down and signing a 30-year mortgage at 10.8% compounded monthly. Interest rates have dropped and the owner wants to refinance the unpaid balance by signing a new 20-year mortgage at 6 % compounded monthly. How much interest will refinancing save?
Answer:
$135,629.37
Step-by-step explanation:
For computing the interest amount first we need to find out the monthly payment, present value, monthly payment and finally the interest amount which is shown below with the help of an attached spreadsheet
The value of the loan could come by
= $239,127 - $239,127 × 15%
= $203,257.95
The amount of interest saved is
= ($1,905 × 20 × 12) - ($1,399.18 × 20 × 12)
= $135,629.37
Suppose the population of a town is 98,000 in 2014. The population increases at a rate of 3.7 percent every year. What will the population of the town be in 2020? Round your answer to the nearest whole number.
Answer: 121871
Step-by-step explanation:
Current population = 98000
Rate of increase = 3.7% / year
Total time = 2020 - 2014 = 6 years
Population in 2020 = 98000 * (1+ (3.7/100))^6
= 98000 * (1.037)^6 = 98000 * 1.243576 = 121870.505
Rounding off to nearest whole number we get the population = 121871
Answer:
121,871
Step-by-step explanation:
I took the quiz.
Will mark as Brainlist!
the pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
y= 1/4x - 16
y = 4x − 16
y=1/4x + 16
y = 4x + 16
Answer:
y=1/4x + 16
Step-by-step explanation:
Answer:
cccccccccccccccccccccccccccc
C!
which of the following was not a new business created by the rise of automobile
1. Roadside restaurants
2. national parks
3. roadside cabins
4. gas stations
Answer:
road side cabins
Step-by-step explanation:
pls help me with number 10
Answer:
D
Step-by-step explanation:
Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent
KM = LM = 5
Δ MJK is isosceles ( base angles are congruent ), thus
MJ = KM = 5 , substitute value
x + 1 = 5 ( subtract 1 from both sides )
x = 4 → D
x=4
Step-by-step explanation:
all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4
Which of these is a unit of density?
A. km/m³
B. kg/m²
C. kg/m³
D. kg/m
Answer:
[tex]\huge\boxed{C.\ \dfrac{kg}{m^3}}[/tex]
Step-by-step explanation:
[tex]density=\dfrac{mass}{volume}\\\\\text{the unit of mass is}\ kg\\\text{the unit of volume is}\ m^3\\\\\text{therefore the unit of density is}\ \dfrac{kg}{m^3}[/tex]
Guys please help me, what is 10+x+ 8, what is 9(3x), what is 1/2 (10x) + 7-3, what is -5 (4x), what is 10 - 2 (8x) - 3 , and what is 3(7x) + 3 (-5)
Answer:
[tex]1.\ 10+x+ 8 = 18+ x[/tex]
[tex]2.\ 9(3x) = 27x[/tex]
[tex]3.\ \frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]
[tex]4.\ -5(4x) = -20x[/tex]
[tex]5.\ 10 - 2 (8x) - 3 = 7 - 16x[/tex]
[tex]6.\ 3(7x) + 3 (-5) = 21x -15[/tex]
Step-by-step explanation:
Required
Solve each expression
[tex]1.\ 10+x+ 8[/tex]
Start by collecting like terms
[tex]10+ 8+x[/tex]
Add like terms
[tex]18+x[/tex]
The expression can't be solved further
Hence; [tex]10+x+ 8 = 18+ x[/tex]
[tex]2.\ 9(3x)[/tex]
Open the bracket
[tex]9 * 3x[/tex]
[tex]27x[/tex]
The expression can't be solved further
Hence, [tex]9(3x) = 27x[/tex]
[tex]3.\ \frac{1}{2}(10x) + 7 - 3[/tex]
Open bracket
[tex]\frac{1}{2} * 10x + 7 - 3[/tex]
[tex]5x + 7 - 3[/tex]
[tex]5x + 4[/tex]
The expression can't be solved further;
Hence, [tex]\frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]
[tex]4.\ -5(4x)[/tex]
Open the bracket
[tex]-5 * 4x[/tex]
[tex]-20x[/tex]
The expression can't be solved further
Hence, [tex]-5(4x) = -20x[/tex]
[tex]5.\ 10 - 2 (8x) - 3[/tex]
Open Bracket
[tex]10 - 2 *8x - 3[/tex]
[tex]10 - 16x - 3[/tex]
Collect like terms
[tex]10 - 3 - 16x[/tex]
[tex]7 - 16x[/tex]
The expression can't be solved further
Hence, [tex]10 - 2 (8x) - 3 = 7 - 16x[/tex]
[tex]6.\ 3(7x) + 3 (-5)[/tex]
Open both brackets
[tex]3*7x + 3 * -5[/tex]
[tex]21x -15[/tex]
The expression can't be solved further
Hence, [tex]3(7x) + 3 (-5) = 21x -15[/tex]
A pole that is 2.6 m tall casts a shadow that is 1.38 m long. At the same time, a nearby tower casts a shadow that is 49.25 m long. How tall is the tower? Round
your answer to the nearest meter.
Answer:
92.7
Step-by-step explanation:
1.38 ÷ 2.6 = .53076923
this means ↑that number is what percent shadows covers
49.25 ÷ .53076923 = 92.7 (roughly)
Plz help me I don't know how to do this!!!!
Answer:
x = 25
Step-by-step explanation:
Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)
Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:
c^2 - a^2 = b^2
50^2 - 25^2 = b^2
2500 - 625 = b^2
1875 = b^2
√1875 = b
43.30127019
now you put that into the expression: x√3:
x√3 = 43.30127019
x = (43.30127019) ÷ (√3)
x = 25
Hope this helped!