Answer:
54 cm^2
Step-by-step explanation:
side ( a ) = 3 cm
Formula : -
Surface area ( cube ) = 6a^2
Surface area ( cube )
= 6 x ( 3 )^2
= 6 x 9
= 54 cm^2
Answer:
54cm^2
Step-by-step explanation:
There are 6 sides in a cube. One of the sides should have the area of 9, because it's a cube and 3 * 3 is 9.
Considering that one side is [tex]9cm^{2}[/tex], the surface area should be 9 * 6, which is 54.
The surface area is 54cm^2.
HELPPP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
What is the answer to this??
Answer:
C
Step-by-step explanation:
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
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:
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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:
Decide whether 4 is a solution of 9x - 6 = 7x
No, 4 is not a solution of [tex]9x - 6 = 7x[/tex].
Here's why:-
[tex]9x - 6 = 7x \\ ⇢ 9x - 7x = 6 \\ ⇢ 2x = 6 \\ ⇢ x = \frac{6}{2} \\ ⇢ x = 3[/tex]
Clearly, the value of [tex]x[/tex] is 3.
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex]9x - 6 = 7x \\ ⇢ 9 \times 3 - 6 = 7 \times 3 \\ ⇢ 27 - 6 = 21 \\ ⇢ 21 = 21 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
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:
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)
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･`♡
Ill give brainliest.....
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]
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
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%
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)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.
2x + 3 ≥ 6 illustrat in number line
Answer:
2x + 3 ≥ 6
2x + 3 - 3 ≥ 6 - 3
2x ≥ 3
2x ÷ 2 ≥ 3 ÷ 2
x ≥ 1.5
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
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.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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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.
Learn more about Factorial here:
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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:
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)
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)
7) Suppose that the amount of time it takes to process insurance claims is normally distributed with a mean of 12 weeks and a variance of 9 weeks. What is the probability that the next claim will be processed within
This question is incomplete, the complete question is;
Suppose that the amount of time it takes to process insurance claims is normally distributed with a mean of 12 weeks and a variance of 9 weeks. What is the probability that the next claim will be processed within; a) 10 weeks, b) 11 weeks, c) 12 weeks.
Answer:
a) the probability that the next claim will be processed within 10 weeks is 25.14%
b) the probability that the next claim will be processed within 11 weeks is 37.07%
c) the probability that the next claim will be processed within 12 weeks is 50.00%
Step-by-step explanation:
Given the data in the question;
mean 12 weeks
Variance = 9 weeks
Standard deviation SD = √Variance = √ 9 = 3 weeks.
Since, the amount of time it takes to process insurance claims is normally distributed.
z = ( x - mean ) / SD
where x is weeks of next claim.
a) 10 weeks
z = ( x - mean ) / SD
we substitute
z = ( 10 - 12 ) / 3
z = -2/3
z = -0.67
{ from standard normal distribution table }
value of z is 0.2514
Therefore, the probability that the next claim will be processed within 10 weeks is 25.14%
b) 11 weeks
z = ( x - mean ) / SD
we substitute
z = ( 11 - 12 ) / 3
z = -1/3
z = -0.33
{ from standard normal distribution table }
value of z is 0.3707
Therefore, the probability that the next claim will be processed within 11 weeks is 37.07%
c) 12 weeks
z = ( x - mean ) / SD
we substitute
z = ( 12 - 12 ) / 3
z = 0/3
z = 0.00
{ from standard normal distribution table }
value of z is 0.5000
Therefore, the probability that the next claim will be processed within 12 weeks is 50.00%
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
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
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.
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.
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.
Are all numbers that are divisible by 2 also divisible by 10
Answer:The Rule for 10: Numbers that are divisible by 10 need to be even and divisible by 5, because the prime factors of 10 are 5 and 2. Basically, this means that for a number to be divisible by 10, the last digit must be a 0. ... So this number is even and divisible by 5. That means that it is also divisible by 10
Step-by-step explanation:
A 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]