If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can give you a thanks.
Answers
Part (a)
Answer: x^3 + 12x^2 + 47x + 60--------------------------
Work Shown:
Let's say we have
L = length = x+5W = width = x+4H = height = x+3To find the volume of the block, we multiply the length width and height.
So,
volume = (length)*(width)*(height)
V = L*W*H
V = LW*(x+3) .... replace H with (x+3)
V = LW*x + LW*3 .... distribute
V = Lx*(W) + 3L*(W)
V = Lx(x+4) + 3L(x+4) .... replace W with x+4
V = Lx^2 + 4Lx + 3Lx + 12L .... distribute
V = Lx^2 + 7Lx + 12L
V = x^2*(L) + 7x*(L) + 12*(L)
V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5
V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute
V = x^3 + 12x^2 + 47x + 60
x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.
=======================================================
Part (b)
Answer: 336 cubic feet--------------------------
Work Shown:
We can plug x = 3 into the polynomial we found
V = x^3 + 12x^2 + 47x + 60
V = (3)^3 + 12(3)^2 + 47(3) + 60
V = 27 + 12(9) + 47(3) + 60
V = 27 + 108 + 141 + 60
V = 336
Or we could find the volume like this
V = L*W*H
V = (x+5)*(x+4)*(x+3)
V = (3+5)*(3+4)*(3+3)
V = (8)*(7)*(6)
V = 336
Either way, we get the same volume of 336 cubic feet.
Related Questions
Braxton has money in a savings account. The equation B = 800(1 + 0.03) can be used to calculate the amount
of money in dollars, B. Braxton has in his account after t years since opening the account.
Pam also has money in a savings account. The equation P=800(1 +0.04) can be used to calculate the
amount of money in dollars, P, Pam has in her account after t years since opening the account.
Choose from the drop down menus to correctly complete each sentence.
Braxton's initial investment Choose...
• Pam's initial investment.
The interest on Braxton's account Choose...
• the interest on Pam's account.
Answers
Answer:
Braxton's initial investment is equals to (=) Pam's initial investment.
The interest on Braxton's account is less than (< ) the interest on Pam's account.
Step-by-step explanation:
Given - Braxton has money in a savings account. The equation
B = [tex]800(1 + 0.03)^{t}[/tex] can be used to calculate the amount of money
in dollars, B, Braxton has in his account after t years since opening
the account.
Pam also has money in a savings account. The equation
P=[tex]800(1 + 0.04)^{t}[/tex] can be used to calculate the amount of money in
dollars, P, Pam has in her account after t years since opening the
account.
To find - Braxton's initial investment ..........Pam's initial investment.
The interest on Braxton's account .....the interest on Pam's account.
Proof -
As given, Broxton equation is - [tex]800(1 + 0.03)^{t}[/tex]
Pam equation is - [tex]800(1 + 0.04)^{t}[/tex]
Now,
1.)
For initial investment , Put t = 0
⇒B = [tex]800(1 + 0.03)^{0} = 800(1) = 800[/tex]
P = [tex]800(1 + 0.04)^{0} = 800(1) = 800[/tex]
As for t = 0
Braxton's equation , B = Pam's equation,P
⇒Braxton's Initial investment = Pam's initial investment.
2.)
For the interest,
As we don not have time for which the interest has to be check.
So , let the time period = 5 years
Therefore,
B = [tex]800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42[/tex]
P = [tex]800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32[/tex]
Now,
Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127
Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173
∴ we get
The interest on Braxton's account is less than the interest on Pam's account.
The table shows the relationship between the average number of hours students studied for a mathematics test and their
average grade.
Hours
Studied
Average
Grade
0
62
1
78
2
85
5
74
Which type of function is most likely to model these data?
A
linear function with positive rate of change
O
B
linear function with negative rate of change.
non-linear function that decreases then increases
D
non-linear function that increases then decreases
Answers
Answer:
D
Step-by-step explanation:
I'm going to ponder a guess that the numbers shown, 0, 62, 1, 78, 2 ,etc. are part of a table. Having said that, the answers, when graphed, create a sort of parabola, meaning that the function itself is non-linear. This exterminates option A and B. Now its just a matter of seeing which way it goes, and since 78 is higher than 62, and 85 is higher than 78, it obviously increases, rather than decreases. This makes D our final answer.
this killing me pls help ♀️
Answers
Add 3 to both sides.
-6p = 12
Divide -6 by both sides.
p = -2
PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)
Answers
Please solve these geometry questions.
Answers
Answer: I don't know how to do the first question but I think I did the 2nd question correctly I believe we learned this in 7th grade. I am a freshman so if it is wrong I am sorry anyways the answers for #2 are
A: 34 for JK
B: 15 for MN
and C: 30 for JL
Perimeter: is 79.
This was fun to do lol ik it wasn't much but better than nothing.
Step-by-step explanation:
which function has the steepest slope 2x-12 and y= 9- 3x
Answers
x+y =0
3x+y=16
x-y+4=8
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
[tex] \large \boxed{v > - 1}[/tex]
Step-by-step explanation:
Given the Inequality:
[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]
Step 1
Multiply the fraction or 1/3 in the expression.[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]
Step 2
Multiply the whole Inequality by 3 to get rid of the denominator.[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]
Step 3
Solve the Inequality for v-term by making v as the subject.[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]
Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!
plz will mark as brainliest
Answers
Answer:
30
Step-by-step explanation:
1/2 x (a+b) x h = area
1/2 x ( 40 + x ) x 50 = 1750
1/2 (40 + x )= 1750/50
20 + 1/2x = 35
1/2 x = 35 - 20
x = 15 x 2
= 30
I hope this is right :)
YOU AINT GOT THE ANSWERS MAN IMAO
please l, I really need help like ASAP. my thing ends in 5 minutes!!!!
Answers
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?
Answers
Answer:
18 More Minutes
Step-by-step explanation:
Hi,
I think I can help.
What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.
To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.
But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)
So we can do :
40 / 4
=
10%
Also
12 / 4
=
3
So with this we can conclude that 10% of his total time is 3 minutes.
Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.
So :
10% x 10
=
100%
3 x 10
=
30 minutes
So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.
We can now simply take the total time and take off the time spent already to find this answer :
30 - 12
=
18 minutes
That is your answer, he needs to study 18 more minutes.
I hope this helps!
If you have any questions or concerns please comment or message me! :)
PLEASE HELP, I’ll give brainliest to anyone who answers first!!!!
Answers
Answer:
opotion 2!
Step-by-step explanation:
Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?
Answers
Answer:
Step-by-step explanation:
1.15×$42.50 = $48.875 ≅ $48.88
Answer:
$48.88
Step-by-step explanation:
42.50 increase 15% =
42.50 × (1 + 15%) = 42.50 × (1 + 0.15) = 48.875
Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
Answers
Answer:
x ≥ -1
y < 3
Step-by-step explanation:
Answer:
Inequality 1: x ≽-1
Inequality 2: x ≼ 3
MORE KHAN ACADEMY! HELP ME PLEASE!
6/3+(-1/6)=?
Answers
Answer:
[tex]1\frac{5}{6}[/tex]
Step-by-step explanation:
6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]
Answer:
If these are fractions the answer is 1 5/6
If they are not fractions the answer is 1.83
What is the perimeter of JKL?
Answers
Answer:
The perimeter of JKL is 60 units.
Step-by-step explanation:
The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.
Someone plz help me I will give brainliest
Answers
Answer:
2.25x2+2x1.00+1.50=8, 10-8 =$2.00
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.
About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts
55 to 90 for math: 50 to 90 for language arts
55 to 60 for math: 50 to 60 for language arts
85 to 90 for math 80 to 90 for language arts
Answers
Answer:
B
Step-by-step explanation:
What's the greatest ten you can multiply by 8 to get close to, but not go over 629
Answers
Answer:
i guss 8× 77 = 524 which is close to it
Answer: 8 x 70 = 560
A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?
Answers
Answer:
1.5 Feet
Step-by-step explanation:
15 x .1 = 1.5
Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blue
Answers
You do 8/12 since it’s blue to mosaic tiles and both number divide by 4 so 8 divided by 4 is 2 and 12 divided by 4 is 3 so 2/3
For which of the equations below is x = 2 a solution?
A 2 + x = 2
B x - 7 = 5
C 3x = 6
Answers
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A= x=0
B= x=12
C= x=2
Find the exact value of inverse cos (square root of 3/ 2.
Answers
Answer:
that I have attached my application for you to have a couple months but I'm thinking it's all threads a small for more about an automatically ke you don't you to join our next few different to see a look great and you want them so it in for her the
Answer:
30° is the exact value of cos invers
PLEASE MARK ME AS BRAINLIEST
Solve for w
-w + 181 = 128
w = ____
Answers
when you add negative numbers its basically subtracting
Which expression is equivalent to (60)2 – (12)?? (60 – 12)
(60 - 12) (60 - 12)
(60 + 12)(60 – 12)
(60 + 12)
Answers
Answer:(60 + 12)(60 – 12)
Step-by-step explanation:
wasssssupppppppppppppp
Answers
Answer:
Wasssupppp yallll
Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *
(0, 3)
(0, -3)
(4, -3)
(-4, 3)
Answers
A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12
Answers
Answer:
sin23= x/12
sin23(12)=x
0.391(12)=x
x=4.7 or 5
An Xbox has a retail price of $350. Best Buy is offering a 15% discount on the system. How much will the Xbox cost after the discount?
Answers
Answer:
About 297.50$
becuase since i actually have an xbox with that same discount i know the answer
Answer:
you will pay 297.50$
you are saving 52.50$
Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big enough to fill a movie screen! What must be true about the measure of each of the interior angles for these two triangles? Does the size of a triangle influence its angle measures? What about other polygons?
Answers
Answer:
Step-by-step explanation:
First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.
Second Question: No the size does not influence the size of the interior angle.
Third Question: That's true for all polygons. Size is not affect the interior angle size.
Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 miles 1.2 miles
Answers
Answer: 8.4 miles
Step-by-step explanation:
d = rt
Solve for her rate
21 = 5r
r = 21/5
r = 4.2
Solve for if the time is 2 hours and rate (solved previously) is 4.2
d = 4.2*2
d = 8.4
The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the total distance ran by Rebecca be D = 21 miles
The time taken by her to travel 21 miles T = 5 hours
So , the speed of Rebecca S = D / T
On simplifying , we get
S = 21/5
S = 4.2 miles per hour
Therefore , the speed of Rebecca is 4.2 miles / hour
Now , let the time taken be T₂ = 2 hours
So , the distance traveled in 2 hours , D = ST₂
D = 4.2 x 2
D = 8.4 miles
Hence , the distance traveled is 8.4 miles
To learn more about speed click :
https://brainly.com/question/19930939
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