Answer:
A is the Far Left
B is the Base
C is the Hypotenuse
Step-by-step explanation:
Interpretation
a home improvement store charges $20 to rent a small truck for 1 hour . Each additional hour costs $25 . There is also a fuel surcharge of $0.05 for each mile driven .How much will it cost to rent the truck for 4 hours if it is driven 30 miles
Answer:
It will cost $121.50
Step-by-step explanation:
C = 20 + 25h + .05m
Now plug in the hours and miles
C = 20 + 25(4) + .05(30)
C = 20 + 100 + 1.5
C = 121.50
The total cost rent the truck for 4 hours and 30 miles drive is $121.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, a home improvement store charges $20 to rent a small truck for 1 hour.
Let the number of hours be h and the number of miles be m.
Now, total charge = 20+25h+0.05m
Here, h=4 and m=30
So, total charge = 20+25(4)+0.05(30)
= $121.5
Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.
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Convert 73% to a decimal *
Answer
0.73
Step-by-step explanation:
73% = 0.73 in decimal form. Percent means 'per 100'. So, 73% means 73 per 100 or simply 73/100.
Answer:
Step-by-step explanation:
73%
=73/100
=0.73
when u divide the percentage with hundred percentage sign will be removed.
Can someone please help me?
Answer:
(x-1)^5 (x+1)
Step-by-step explanation:
2 (x-1)^5 + (x-1)^6
Factor out (x-1)^5
2 (x-1)^5 + (x-1)^5 (x-1)
(x-1)^5( 2 + x-1)
Combine like terms
(x-1)^5 (x+1)
Answer:
A
Step-by-step explanation:
factor out (x-1)^5 and you get (x-1)^5(2+x-1)
simplify that to get (x-1)^5(x+1)
HELPPP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
a Car has a 15 gallon gas tank . I f a car gets 32 miles per gallon and travels 384 miles . how much gas will be left in the tank?
Answer:
so you would actually multiply 32 x 15=480 then subtract 480 - 384= it would have 96 miles left. then divide 96/32= 3
so your answer would be 3 gallons left
Step-by-step explanation:
If the sun is 67° above the horizon, find the length of the shadow cast by a building 61 ft tall. Round your answer to the nearest tenth. (plz help I list brainlist)
Answer:
25.9 ft
Step-by-step explanation:
tan = opp/adj
tan67 = 61 / adj
adj = 61/tan67
use calculator
adj = 25.892963788785889
Rounded
25.9 ft
Write an exponential equation using y a(b) that
represents the growth or decay of the situation.
A house was purchased for $160,000. The house has an
annual appreciation rate of 8%. Please write a let statement
and an equation that represents the house's value over time.
Answer:
[tex]y = 160000 * (1.08)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 160000[/tex] --- initial
[tex]r =8\%[/tex] --- rate
Required
The function over time
The function is calculated as:
[tex]y = a(1 + r)^t[/tex]
So, we have:
[tex]y = 160000 * (1 + 8\%)^t[/tex]
Express percentage as decimal
[tex]y = 160000 * (1 + 0.08)^t[/tex]
[tex]y = 160000 * (1.08)^t[/tex]
How many 3s must be added to a list of six 11s so that the average of all the numbers is 6
Answer:sj
Step-by-step explanation:
d fjls ljf s
Ill give brainliest.....
How many ways can six of the letters of the word palindrome be selected and written in a row where either the first two letters are PA(in order) or the last two letters are ME (in order)
There are 48 ways to select and arrange six letters from the word "palindrome".
Case 1: First two letters are "PA" (in order)
In this case, to select four letters from the remaining seven letters of the word "lindrome" and arrange them.
The order of the selected four letters is important.
So, the number of ways for this case is:
Number of ways = 4! = 24
Case 2: Last two letters are "ME" (in order)
Similarly, in this case, to select four letters from the remaining
seven letters of the word "palindr" and arrange them.
The number of ways for this case is also:
Number of ways = 4! = 24
Now, the total Number of ways
= Number of ways in Case 1 + Number of ways in Case 2
= 24 + 24
= 48
Therefore, there are 48 ways to select and arrange.
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Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below.
Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28.
Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression?
Answer:
-4x (1-3) - (2x + 2)
-4(5)(1-3) - (2(5) + 2)
-20(1-3) - (10 + 2)
-20(-2) - (12)
40 - (12)
28
Step-by-step explanation:
There are 40 students in a class. 4 of them are absent, then find the
percent of present students.
Please help by writing down the steps as well.
Answer:
90%
Step-by-step explanation:
present students:40-4=36
36/40*100
=90%
Answer:
90% are present
Step-by-step explanation:
40-4=36
36 are present
36/40 = x/100
36x100=3600
3600/40=90
answer: 90/100 = 90%
Find the volume of the rectangular prism below.
Answer:
I have two but im unsure
without fractioned to pie it is
1568
but with the [tex]\pi[/tex] fraction it is
499.11
Step-by-step explanation:
what is f(x)? What point is on the graph of f?
Answer: A) -2; (2, -2)
Step-by-step explanation: If x is 2 then only the first two answers have the possibilty of being correct since in the coordinate pair the x coordinate is 2.
Sub in x and solve equation
[tex]\frac{x^2-2}{x-3}\\\frac{2^2-2}{2-3}\\\frac{4-2}{-1} \\\frac{2}{-1} \\-2[/tex]
f(x)=-2 so that is where the point of f is.
If x^3 + 4x^2 - 16x + 24 is divided by x + 3, what is the value of the remainder?
A.-33
B.24
C.57
D.81
Answer:
24
Step-by-step explanation:
Answer:
the remainder is 81
Step-by-step explanation:
so , equate x +3 to 0 , as in x + 3 = 0 then x = -3
so now we know the value of x so just replace it in the expression to get the remainder
♡´・ᴗ・`♡
A solid with straight edges has 8
edges and 5 vertices. Find the
number of faces of the solid using
the Euler's relationship.
A. 13
B. 3
C. 5
D. 11
Answer:
option C. 5
Step-by-step explanation:
Face, F
Vertices, V = 5
Edges ,E = 8
F + V - E = 2
F + 5 - 8 = 2
F - 3 = 2
F = 2 + 3 = 5
The box plots represent the distances run by the players in a football match.
Team B
8.7 88 89 90 91 92 93 9.4 0.5 0.6 0.7 08 09 10.0 10.1 10.2 10.3 10.4
Distance run (km)
The players in Team A ran more consistent distances.
How do the box plots show this?
(Total 1 mark)
Answer:
Following are the response to the given question:
Step-by-step explanation:
Its scope, as well as the cross median range, could be established using the measurement for dispersal by looking at even a booth map. We simply search for the difference between the larger and lowest data value to define the range, and we make all the difference between the third quartile and first quarter for the disposing of products and services ranges.
Team A:
[tex]R=V_{max} -V_{min} \to R= 10.2 – 8.8 = 1.4 \\\\IQR = Q_3 - Q_1 = IQR = 9.09 - 9.5 = 0.4\\\\[/tex]
Team B:
[tex]R= 10.4 - 9.0 = 1.4\\\\IQR= 10.1 – 9.6 = 0.5[/tex]
Based on previous results, you see an equal range, but variation in the interquartile. Group B does have a greater confidence interval than Group A, therefore we can say it is far more consistent over group B distance. Group A is a different type.
Last year the division had total sales of 23,380,000 , operating income of 2,828,980, and invested assets of 10,000,000. Required : a. What is the division's profit margin ? b. What is the division's investment turnover? c. What is the division's return on investment (ROI) using DuPont formula? d. What is the residual income if investors require a minimum return of 20% ?
Answer:
The solution is given below
Step-by-step explanation:
The computation is shown below:
a. The profit margin is
= Operating income ÷ total sales
= $2,828,980 ÷ $23,380,000
= 12.1%
b. The investment turnover is
= Total sales ÷ total assets
= $23,380,000 ÷ $10,000,000
= 2.34
c. The return on investment is
= Profit margin × investment turnover
= 12.1% × 2.34
= 28.29%
d. The residual income is
= Operating income - (minimum rate of return × assets)
= $2,828,980 - (20% of $10,000,000)
= $828,980
Could someone help me with number 19
Solving #19
Take y-values from the graph
a) (g·f)(-1) = g(f(-1)) = g(1) = 4b) (g·f)(6) = g(f(6)) = g(2) = 2c) (f·g)(6) = f(g(6)) = f(5) = 1d) (f·g)(4) = f(g(4)) = f(2) = -2A circular table top has a radius of 24 inches. What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.
Answer:
1809[tex]in^{2}[/tex]
Step-by-step explanation:
A = (3.14)(24)^2.
A = 1808.64
To the nearest square inch:
1809[tex]in^{2}[/tex]
What is the answer to this??
Answer:
C
Step-by-step explanation:
1
Select the correct answer
which set of numerical values represents the minimum lower quartile, median, upper quartile, and maximum, in that order, of the box plot of
this data set
51.51.53 53 54 55 55 56 58 58 58. 59.60
51.54 56 58 60
51.53 56 59 60
C 53 54 55.59.60
51.53.55. 58. 60
How much is a $28 shirt
that is on sale for 30% off?
30%=8.40
28-8.4=$19.60
Answer:
8.4
Step-by-step explanation:
30% = 0.30 or 0.3
0.3 x 28 = 8.4
(i usually use a calculator for this part)
I will mark brainliest to whoever answers the question fast and correct.
The expression 2(1 + W) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is 2/3 unit and the width is 1 3 unit, what is the perimeter of the rectangle in units? 2/3unit 1 unit 1 2/3unit 2unit
Answer:
the answer is a
Step-by-step explanation:
Which of the following describes a compound event?
A. Tossing 5 coins and getting 4 heads
B. Rolling 3 on a die
C. Tossing a coin and getting tails
D. Drawing the ten of diamonds from a deck of cards
Answer:
A. Tossing 5 coins and getting 4 heads
Step-by-step explanation:
Compound events may be described as events whose occurence has more than one possible outcome, that is the number of possible events is more than one. From the options given above, Rolling 3 on a die, this event has only one possible outcome, which is rolling 3 ; tossing a coin and getting tails also has one obe possible outcome. Drawing 10 diamonds from a deck also focuses on one event which is drwinh diamonds. However, tossing 5 coins and getting 4 heads involves that the 5th toss will be tail. This has more than one event and thus a compound event.
Answer: A.
Step-by-step explanation:
Tossing five coins and getting four heads is a compound event as the coins and cards are different
Use the graph to answer the questions.
1) write into vertex form.
2) identify the vertex, focus, and directrix.
Answer:
y = 2( x+5)^2 -4
Vertex (-5,-4)
directrix y = -33/8
focus (-5, -31/8)
Step-by-step explanation:
First identify the vertex, which is the minimum
Vertex = (-5,-4)
The vertex form is y = a( x-h)^2 + k
y = a( x- -5)^2 -4
y = a( x+5)^2 -4
We need to determine a
Substitute a point on the graph
(-3,4) is on the graph
4 = a( -3+5)^2 -4
4 = a( 2)^2 -4
4 = 4a -4
Add 4 to each side
8 = 4a
Divide by 4
8/4 = a
a=2
y = 2( x+5)^2 -4
To find the focus and directrix, write in standard form
4p(y-k)=(x-h)^2
y+4 = 2(x+5)^2
1/2 (y+4) = (x+5)^2
4p = 1/2
p = 1/8
The focal length is 1/8
Subtract this from the y coordinate to get the directrix
y = -4 -1/8
y = -32/8 - 1/8 = -33/8
Add this to the y coordinate to get the coordinate for the focus the x coordinate the same
(-5, -4+1/8)
(-5, -32/4+1/8)
(-5, -31/8)
The values that divide a list of numbers into four groups are called _____.
Answer:
I think that the answer you're looking for is quartiles!
Step-by-step explanation:
They divide your data into four segments according to where the numbers fall on the number line.
find the domain and range of the function f(x) = x -|2 cos x|
The domain and range of the function f(x) = x -|2 cos x| includes all real numbers.
Domain and Range of a functionThe domain and range of a function simply refers to the set of all possible inputs and outputs of a function respectively.
On this note, the function, f(x) = x -|2 cos x| given has domain and range in the set of all real numbers....This follows from the fact that the function is linear.
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Wilson and Brian are practicing for a swim meet. Last week, Wilson swam 400 meters on each day for three days. Brian swam 0.8 kilometers total for two days. Which boy swam farther last week and by how much?
Answer:
wilson swam farther by 0.4 km
Step-by-step explanation:
wilson swam 1.2km
brian swam 0.8km
1.2 - 0.8 = 0.4
Which of the following is the definition for permutation?
Answer:
The answer is D. Selections of objects in which the order of the objects matters.
Step-by-step explanation:
Permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement.
The formula for permutation: A permutation is the choice of (r) things from a set of (n) things without replacement and where the order matters. Formula-
[tex]nPr= \frac{n!}{(n-r)!}[/tex]
Permutation can be classified in three different categories:
Permutation of (n) different objects (when repetition is not allowed)Repetition, where repetition is allowedPermutation when the objects are not distinct (Permutation of multi sets)