The volume of a shape is the amount of space in it.
The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long(a) The volume of one table leg
Represent the side length of the leg with l, and the side length of the notch with n.
So, the expression that represents the volume of one table leg is:
[tex]V = l^3 + n^3[/tex]
(b) The length of the sides
From the question, we have:
[tex]n = 40\% \times l[/tex]
Express 40% as decimal
[tex]n = 0.40 \times l[/tex]
[tex]n = 0.4l[/tex]
Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]
[tex]V =l^3 + (0.4l)^3[/tex]
[tex]V =l^3 + 0.064l^3[/tex]
[tex]V =1.064l^3[/tex]
The volume of the 4 legs is given as: 12636
So, the volume of one leg would be 12636/4
So, we have:
[tex]1.064l^3 = \frac{12636}{4}[/tex]
[tex]1.064l^3 = 3159[/tex]
Divide both sides by 1.064
[tex]l^3 = 2968.985[/tex]
Take cube roots of both sides
[tex]l = 14.37[/tex]
Hence, the sides of the legs is 14.37 inches long
Read more about volumes at:
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Use the distributive property to remove the parentheses.
-9(-6u+v-5)
I need help- I’ll get brainly list
Answer:
54u - 9v + 45
Step-by-step explanation:
distributive property
need help dont want to fail
Answer:
I think the correct answer is D since the arrows go infinite ways. Let me know if im right. :)
Step-by-step explanation:
PLS HELP round to the nearest hundredth
Simplify (x-4) (x^2 + 3x + 2)
Answer:
x^3-x^2-10x-8
Multiply each term in the first expression by each term in the second expression and combine like terms.
I don’t understand how to do it
Answer:
Use the slope formula (y2-y1 over x2-x1) also attached as an image file to my answer for each question. After you solve each number for their slope, input the problem number into the table that corresponds with the slope.
For your information, in the attached image file with the formula, "m" represents the slope in the formula.
A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?
Answer:
4/15 of an inch
Step-by-step explanation:
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Hope this helps
Have a great day
~Zero
Answer:
4/15 of an inch
Step-by-step explanation:
A worm wriggled forward 4/5 of an inch in 3 minutes.
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Hehehehehsheh help pls need help asap
Answer:
c
Step-by-step explanation:
hope this helps
Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the length of the remaining post in feet?
Answer:
2 13/14 feet
Step-by-step explanation:
The remaining length is the difference between the starting length and the amount cut off:
5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14
= 2 13/14 . . . feet remaining
_____
Additional comment
Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.
[tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]
Answer:
3 and five fifthteenths or 3 and 4/9
Step-by-step explanation:
i think so.........
Could somebody please help with this math?
Answer:
87
Step-by-step explanation:
the slope is very easy you can solve it in easy way all you have to do is give me your phone
2x + 3 for x=3
PLEASE I NEED A ANSWER
Answer:
9
Step-by-step explanation:
2 times 3 = 6
6+3=9
2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?
Answer:
21
Step-by-step explanation:
his ratio of shots from the first game would be 14:40 or 7:20
so if he made the same ratio from 60 shots it would be
21:60
Which of the following is most likely the next step in the series?
Suppose you draw two tennis balls at random from a bag containing seven pink, four white, three yellow,
and two striped balls. Find each probability.
l2 P(yellow then pink) without replacing
its a ratio i think .......
What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.
The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
Given that,
The graphs of f(x) = 10x and its translation, g(x), are shown.
We have to determine,
What is the equation of g(x)?
According to the question,
The given graphs of two functions f(x) and g(x).
The function f(x) is an exponential function and is given by:
[tex]\rm f(x) = 10^x[/tex]
To find the equation for the transformed function g(x).
We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.
This means that the equation or the expression for the function g(x) is given by:
[tex]\rm g(x) = 10 ^{x-3}[/tex]
Substitute the value of x = 3 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]
Substitute the value of x = 4 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]
Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
For more details refer to the link given below.
https://brainly.com/question/13148696
Answer:
the answer is a g(x)= 10x^-3
Step-by-step explanation:
The diameter of a circle is 14 in. Find its area in terms of
π
π.
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
To find radius given diameter, just divide the diameter by 2: [tex]\frac{14}{2}[/tex] 14/2 = 7, so the radius is 7.Step 2: Apply area of circle formula.
The formula to find the area of a circle is πr², where r = radius.Now, plug in the value of r: π(11)².Step 3: Simplify.
π(11)²π(121)121πSince we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
help pls?? will give brainilest <3
Answer:
The y = 0.5 the x = 1
Step-by-step explanation:
The y = 0.5 the x = 1
Answer:
y=1/2x
Step-by-step explanation:
y=mx+b, where m is the slope, b is the y-int and y and x are variables.
y=1/2x+0 is the answer but you dont need to add the 0.
To get the slop you do RISE/RUN which in this case is 1/2
Hope that helps. Brainliest is appreciated
17. Find the 15% commission on $400 in sales.
O $75
$60
O $40
O $15
100,105,110.25… recusive formula
Answer:
a[1] = 100
a[n] = 1.05·a[n -1]
Step-by-step explanation:
The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...
a[1] = 100
a[n] = 1.05·a[n -1]
[tex](\sqrt[3]{5})^{2}[/tex]
Answer:
[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{5})^2[/tex]
[tex](5^{\frac{1}{3}})^2[/tex]
[tex]5^{\frac{1}{3}*2}[/tex]
[tex]5^\frac{2}{3}[/tex]
Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]
A student says that it 5x^2 =20,then x must be
equal to 2. Do you agree or disagree with the
student? Justity your answer.
Hope you could get an idea from it.
Doubt clarification - use comment section.
please help me with math
Hi there! :)
5-2b when b=-1; 3.
5-2(-1)
5+2
7
5-2(3)
5-6
-1
3(x+8)
3x+24
Hope it helps!
~Answer given by
An Unknown Dreamer
Good luck.
Please answer this ASAP LINKS WILL BE BANNED !!!
Solve for p.
P+3=p-4/2
A: p= -74
B: p= 74
C: p= 10
D: p= -10
Answer:
p = - 10
Step-by-step explanation:
I hope this helps. Good luck
x/2 = y/3
find value of x, y if x+y =30
Answer:
x=12, y=18
Step-by-step explanation:
here's another one
Answer:
Supplementary Angles
x = 62
Step-by-step explanation:
Supplementary angles equal 180.
180 - 118 = 62
I hope this helps!
Mrs. Clark's plant is 4 3/4 inches tall. It is 1 7/8 inches taller than Jimmy's plant.
How tall is Jimmy's plant?
Which number is divisible by both three and nine?
Select the Hint button to view a hint.
A.21,369 B. 36,359 C. 48,618 D. 56,783
Answer:
answer is
A.21,369 or D. 56,783
Step-by-step explanation:
am not sure but am mostly sure it is D but i dont know i think is A to but am
99% is D
hope it helps
Answer:
Your answer is C 48,618
Step-by-step explanation:
if you add the sum up of all of the digits it is divisible by both three and nine.
can i plz get brainliest.
The LCM of 2, 3, and 4 is _____. 24 12 6
Answer: the answer is 12
Step-by-step explanation: trust me
The LCM of 2,3, and 4 is 12.
What is LCM?The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.
The given numbers are 2,3 and 4.
The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.
The lowest number that can be divisible by 2,3 and 4 is 12.
Therefore, the LCM of 2,3, and 4 is 12.
Learn more about LCM:
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There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER
Answer:
71/120
Step-by-step explanation:
which one is a function quick
Answer:
Table be is the only function. Table A has -5 as an x value two times.
Step-by-step explanation:
Solve.
x/2=−0.73
What is the solution to the equation?
Enter your answer as a decimal in the box.
x =
x/2 = -0.73
To solve for x multiply both sides by 2:
x = -1.46