Answers
Okay, here we have this:
We need to calculate the volume of a rectangular prism, so we are going to use the following formula:
Volume=Lenght*Width*Heigth
Replacing we obtain:
Volume=8 in*10 in*6in
Volume=480 cubic inches.
Related Questions
The first term of an a.p is 29 and the 7th term is -13.What is the value of the tenth term
Answers
The value of the tenth term of the arithmetic sequence will be negative 34.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term of an a.p is 29 and the 7th term is -13. Then the common difference between the successive term is given as,
a₇ = a₁ + (7 - 1)d
-13 = 29 + 6d
d = -7
Then the value of the tenth term of the arithmetic sequence will be given as,
a₁₀ = a₁ + (10 - 1)(-7)
a₁₀ = 29 + 9(-7)
a₁₀ = 29 - 63
a₁₀ = -34
The value of the tenth term of the arithmetic sequence will be negative 34.
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Find the volume of the frog queen building in Graz, Austria. The building is 18 meters long, 17 meters tall, and 18 meters wide
Answers
Answer: 5,508 m3
Step-by-step explanation: V= 18 x 17 x 18 = 5,508 m3
Answer:5, 508
Step-by-step explanation:
V 18×18×17=5,508
I need help asap!!!!!!!!!!!!
The falls that make up Niagara Falls are eroding backwards, thus migrating upstream.
They have migrated back 100 feet in the past 50 years. What is the rate of erosion along the falls?
( )Feet per year
Answers
The rate of erosion along the falls is given as follows:
2 feet per year.
How to obtain the rate of erosion?The rate of erosion of Niagara Falls is obtained applying the proportions in the context of the problem.
The falls have migrated back 100 feet in the past 50 years, hence the rate of erosion in feet per year is given as follows:
100/50 = 2 feet per year.
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3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Answers
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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I'LL MARK THE BRAINLIEST!!!!!!!!! PLEASE HELP ASAP!
This figure shows the dimensions of a right triangular prism. What is the volume of the right triangular prism in cubic meters?
60m
30m
15m
50m
Answers
Answer: 60m
Step-by-step explanation: V= b x h x l
Read the problem in the box below. Make a list to help you find the correct
answer.
To remain a member of the Nickname Club,
Nicole has to reduce the number of her official
nicknames from 4 to 2. Right now, she is known
as Tricky, Nicky, Coyote or Slim. Which answer
lists all her choices?
A. TN, TC, TS, NC, NS, CT
B. TN, TC, TS, NC, NS, CS
C. TN, TC, NC, NS, CT, CS
D. CS, CN, CT, SN, TN, TC
Answers
Answer:
B
Step-by-step explanation:
She could be either TN, CT, TS, CN, NS, or CS
Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?
Answers
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
According the question,
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
Where x represents the quantity of additional tours that the tourist wants to add to their travel package.
The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.
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Please look for the question in the picture.
Answers
Answer:
-12.5
Step-by-step explanation:
-7x+8+11x=-42
-7x+11x=-42-8
4x=-50
x=-12.5
Hope this helped! :)
Hey There!
Question:-
\( \sf \: - 7x+8+11x= - 42\)
We need to find the value of x.
Solution:-
\(\sf \longmapsto - 7x + 8 + 11x = - 42\)
Combine Like terms:-
\(\sf \longmapsto \: ( - 7x+11x)+(8)= - 42\)
On Simplification :-
\(\sf \longmapsto \: 4x +8 = - 42\)
Subtract 8 from both sides:-
\(\sf \longmapsto \: 4x+8 - 8= - 42 - 8\)
On Simplification:-
\(\sf \longmapsto \: 4x + 0 = - 42 - 8\)
Note that (-) and (-) equals to (+).
\(\sf \longmapsto \: 4x = - 50\)
Divide both sides by 4:-
\(\sf \longmapsto \: \dfrac{4x}{4} = \dfrac{ - 50}{4} \)
On Simplification:-
\(\sf \longmapsto \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{ \cancel{- 50}}{ \cancel4} \)
\(\sf \longmapsto \: x = \dfrac{ - 25}{2} \)
Or in Decimal :-
\(\sf \longmapsto \: x = -12.5\)
______________________________________
Henceforth, the value of x is :-
\(\boxed{\huge \red{x = - \dfrac{25}{2}}} \)
In Decimal:-
\( \boxed{\huge\red{ x = -12.5}}\)
________________________________
Please let me know if you have any questions.
~MisterBrian
HELP ME QUICKLY!!!!!!!!!!!!!!!It takes Luis 15
minutes to read 3
pages. How long
Will it take him to
read 90 pages?
Answers
Answer:
450 min hope this helps!
Step-by-step explanation:
Answer
It will take him 450 minutes to read 90 pages.
Explanation
Luis can read 3 pages every 15 minutes.
You are trying to find how long it will take him to read 90 pages.
Set up this ratio.
\(\frac{15}{3} =\frac{x}{90}\)
To get from 3 to 90, you multiply by 30. Do the same thing to 15.
15 times 30 is 450.
It will take Luis 450 minutes to read 90 pages.
A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.
Answers
Answer:
::::::::::::::::::
5:2
PLEASE HELP!! “Find the value of x and round your answer to the nearest degree. Show your work.”
Answers
Answer:
Step-by-step explanation:
cos(x) = 179/202
x = arccos(0.886138613861)
x = 27.608033...
x = 28°
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answers
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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5. The number of service calls received by a local fire department is between 0 and 5. The probabilities are 0.10, 0.15, 0.30, 0.20, 0.15, 0.10, respectively. a. Write the probability distribution for the number of service calls in a given day. b. What is the expected number of service calls per day in this fire department
Answers
Answer:
2.45
Step-by-step explanation:
1. Probability distribution shows us sample space(number of calls) and their probabilities
Number of calls. Probability
0. 0.10
1. 0.15
2. 0.30
3. 0.20
4. 0.15
5. 0.19
2. We are to find expected number of calls
(0x0.1) + (1x0.15) + (2x0.30) + (3x0.20) + (4x0.15) + (5x0.10)
E(X) = 0 +0.15 + 0.6 + 0.6 + 0.6 + 0.5
= 2.45
The expected number of Service calls per day is 2.45
Thank you!
Find the area of the shaded part of the figure if a=6, b=7, c=4. (I need help on this)
Answers
To obtain the area(A) of the shaded part of the figure, we will sum up the area of the triangle and the area of the rectangle.
Let us solve the area of the triangle(A1) first,
The formula for the area of the triangle is,
\(A_1=\frac{1}{2}\times base\times\text{height}\)where,
\(\begin{gathered} base=b=7 \\ height=a=6 \end{gathered}\)Therefore,
\(A_1=\frac{1}{2}\times7\times6=21unit^2\)Hence, the area of the triangle is 21 unit².
Let us now solve for the area of the rectangle(A2)
The formula for the area of the rectangle is
\(A_2=\text{length}\times width\)Where,
\(\begin{gathered} \text{length}=b=7 \\ \text{width}=c=4 \end{gathered}\)Therefore,
\(\begin{gathered} A_2=7\times4=28 \\ \therefore A_2=28\text{unit}^2 \end{gathered}\)Hence, the area of the rectangle is 28unit².
Finally, the total area of the shaded area is
\(\begin{gathered} A=A_1+A_2=21+28=49 \\ \therefore A=49unit^2 \end{gathered}\)Hence, the area of the shaded part is 49unit² (OPTION A).
which equation can be used to represent this problem? company spent $2000 developing a waterproof fabric. The company makes $3 on the sale of each yard of fabric after subtracting anufacturing costs. How many yards of fabric, x, will they need to sell to have a profit of $12,000?
A 2000 - 3x = 12000
B 12000 - 3x =2000
C 3x - 2000 = 12000
D 3x - 12000 = 2000
Answers
A wallet contains 34 notes, all of which are either $5 or $10 notes. If it amounts to $235, how many $10 notes are there?
Answers
According to the problem, we know that:
- x + y = 34 (since the wallet contains a total of 34 notes)
- 5x + 10y = 235 (since the total amount of money in the wallet is $235)
We can use the first equation to solve for x in terms of y:
x = 34 - y
Substituting this expression for x into the second equation, we get:
5(34 - y) + 10y = 235
Simplifying and solving for y, we get:
y = 15
Therefore, there are 15 $10 notes in the wallet.
Answer:
For this question, you can use the simultaneous equation to solve this problem.
Equation 1 reads: x + y = 34. (There are 34 notes in total.)
Equation 2: 5x + 10y = 235 (The notes are worth a total of $235.)
To find x in terms of y, we can apply equation 1:
x = 34 - y
When we use this expression to replace x in equation 2, we obtain:
5(34 - y) + 10y = 235
By condensing and figuring out y, we get at:
y = 15
There are 15 $10 bills in the wallet as a result.
During the soccer season, Cathy made 27 of the 54 goals she attempted. Karla made 18 of the 45 goals she attempted. Patty made 34% of the goals she attempted. List the athletes in order of their goal-scoring percentage from least to greatest.
Answers
Answer:
Patty, Karla, Cathy
Step-by-step explanation:
The scoring percentage of goals attempted can be computed by dividing goals made by those attempted, then multiplying the result by 100%.
__
Cathy's rate is ...
27/54 × 100% = 50%
Karla's rate is ...
18/45 × 100% = 40%
Patty's rate is ...
given as 34%
__
By least to greatest scoring rate, the athletes are ...
Patty (34%), Karla (40%), Cathy (50%)
Jacob answered 80% of the questions in a test correctly.
He answered 32 of the questions correctly.
Work out the total number of questions in the test.
Answers
I think the answer would be 40 questions I don't know if this is actually correct tho
What’s the answer PLEASEE asap 4(x - 2)
Answers
Answer:x=2
Step-by-step explanation:
4(x-2) goes to 4x -8 which then goes to 4x=8 which then divided by 4 equals x=2
Need answers ASAP show works pls
i^53
Answers
Answer: 53
Step-by-step explanation:
53
If 9 more than twice a number is 7 less than three times the same number, what is the number?
Answers
Answer:
12
Step-by-step explanation:
9+2x=3x-3
9+3=3x-2x
Answer:
16
Step-by-step explanation:
Let x be "a number"
9 + 2x = 3x - 7
Isolate variables to one side
9 + 7 = 3x - 2x
16 = x
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Exponential Function:
What happens to the graph of the functions of the first and second graphs? (Describe in detail considering the differences in the functions of each of the graphs)
Answers
Answer:
See below
Step-by-step explanation:
On the graphs we see transformations of exponential functions
Graphic 1 = Horizontal shift f(x) = 2ˣ is the parent functiong(x) = 2ˣ⁺³ indicates shift to the left by 3 unitsh(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unitGraphic 2 =Vertical shiftp(x) = (1/3)ˣ is the parent functionr(x) = (1/3)ˣ⁺³ indicates shift up by 3 unitsq(x) = (1/3)ˣ⁻² indicates the shift down by 2 unitsFind the measure of the missing angles. WILL GIVE BRAINLIEST
Answers
This is because any line is equal to 180 degrees, we see that d is situated on a line that continues into another angle, the other angle is 90 degrees, so we minus 90 from 180, to get 90.
E = 99
E is situated on a line with the other angle F, F = 81 (see below) so we minus 81 from 180
F = 81
F is situated on a line, we minus it from the other angle situated on the same line, so we minus 99 from 180to get 81
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
Please help with answers
Answers
The value of x is 11° and measure of other two angles are 80° and 117°
What is triangle?A triangle can be defined as a polygon which has three angles and three sides. The interior angles of a triangle sum up to 180°, and the exterior angles sum up to 360°.
Given that, the interior angles of the triangle are 37° and (3x+47)° and an exterior angle measures (5x+ 62)°
We know that the sum of two interior angles equals to the measure of an exterior angle,
Therefore, 37° + (3x+47)° = (5x+ 62)°
x = 11°
Hence, The value of x is 11° and measure of other two angles are 80° and 117°
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Does anyone know the answer
Answers
Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five less than half its width.
Answers
Answer:
eh width = 103.5 inches
Step-by-step explanation:
x = width
Length = (x/2 - 5 )*6
so 384=x+3x-30
414=4x
x=414/4=103.5 inches
Add a nonrestrictive
element using commas.
My brother keeps taking my
tal.
things.
Answers
My brother, who is always pushing my buttons, keeps taking my things.
What is statement?State-ment ˈ : something stated: such as. : a single declaration or remark : assertion. : a report of facts or opinions. : the act or process of stating or presenting orally or on paper.
Here , the required answer is.
My brother, who is always pushing my buttons, keeps taking my things.
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Suppose the state space consists of all positions (x,y)(x,y) in the plane. How many states are there
Answers
DeMarkus says that a store overcharged him on the price of the video game he bought. He thought that the price
of the original price, but it was really off the original price. He misread the advertisement. If the
original price of the game was $48, what is the difference between the price that De Markus thought he should pay
and the price that the store charged him?
was marked
11
10
Answers
The difference between the price that DeMarkus thought he should pay and the price that the store charged him is $24
The question provided is incomplete. Here is the complete question : DeMarkus says that a store overcharged him on the price of the video game he bought. He thought the price was marked 1/4 of the original price, but it was really 1/4 off the original price. He misread the advertisement. If the original price of the game was $48 , what is the difference between the price that DeMarkus thought he should pay and the price that the store charged him? A. $28.50B. $36.00C. $42.50D. $24.00
The first step is to determine the price DeMarkus thought the price of the videogame was = 1/4 of the original price
1/4 x $48 = $12
The second step is to determine the actual discounted price.
Actual discounted price = original price = (1/4 of the price)
48 - (1/4 x $48 = $12)
$48 - $12 = $36
The third step is to determine the difference in the prices
$36 - $12 = $24
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