Answer:
The answer is option 1.
Step-by-step explanation:
You have to substitute the expressions of s into the formula of volume :
s = 4x² + 3
V = s³
V = (4x² + 3)³
Then, you have to expand it :
V = (4x² + 3)³
V = (16x⁴ + 24x² + 9)(4x² + 3)
V = 16x⁴(4x²) + 16x⁴(3) + 24x²(4x²) +
24x²(3) + 9(4x²) + 9(3)
V = 64x⁶ + 48x⁴ + 96x⁴ + 72x² + 36x² + 27
V = 64x⁶ + 144x⁴ + 108x² + 27
The required volume of the cube is 64x⁶ + 144x⁴ + 108x² + 27. Answer: A.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
The volume of the cube is given by V = s^3. Substituting s = 4x^2 + 3, we get:
V = (4x² + 3)³
= (4x²)³ + 3(4x²)²(3) + 3(4x²)(3²) + 3³
= 64x⁶ + 144x⁴ + 108x² + 27
Therefore, the volume of the cube is 64x⁶ + 144x⁴ + 108x² + 27. Answer: A.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ7
There is a stack of twenty cards labeled from 1 to 20. One card is randomly drawn. What is the probability that the card is a multiple of three or odd?
Answer:
I think 6 out of 20.
Step-by-step explanation:
I used mental math.
Middle school 95 students have freckles there are 382 students in the school to the nearest 10th of a percent what is the percent of the students have freckles
Answer:
24.9%
Step-by-step explanation:
95/382=0.24869
0.24869*100=24.87
24.87% rounded up to the nearest tenth of a percent is 24.9%
What is this!!! I need to know quick
Answer:
x<3
Step-by-step explanation:
the dot is not black so it means that its not equal to three but bigger than three
Simon started for school at 8:30 he got there 15minuter later. what time did he get to school
Answer:
8:45
Step-by-step explanation:
XD 8:30+15 mins =8:45
Using the equation ŷ = 2.6 − 3.1x, what is the predicted value if x is 4.3?
Select one:
a. −10.73
b. 10.73
c. 15.93
d. −15.93
e. 0.54
Work Shown:
Plug x = 4.3 into the equation given
ŷ = 2.6 − 3.1x
ŷ = 2.6 − 3.1(4.3)
ŷ = 2.6 − 13.33
ŷ = -10.73
Note: The symbol ŷ is read as "y hat". It's used to estimate the y value when it comes to regression equations.
Answer pls will
Give brailiest or show how to do it
Answer:
bro i do not know how to do that stuff im only in Middle school my guy
Step-by-step explanation:
I don't know
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
Help please ASAP. Correct answer will get brainly
Answer:
I think it's 3,6.....................
What are some numbers between 61 and 107 that are multiples of 3,6,8
"HOT PIZZA" is offering a 20% discount on all its pizza
Ali orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answer: the answer is 7
Step-by-step explanation:
first you divide the price by four then add a quarter to the original amount. gl
half the sum of 16 and x decreased by one-fourth x
8x=
8-0.25=
7.75
Heart this if it helped!
A label is twice as long as it is wide. If the length of the label is 10 cm, find the
area of the label.
O 20 square centimeters
O 50 square centimeters
O 60 square centimeters
O 70 square centimeters
Answer:
50 square centimeters
Step-by-step explanation:
Long means length, and we know the length of the label, 10 centimeters. That means the width is half of 10 centimeters, or 5 centimeters. Now, we multiply 10 and 5 to get 50. That means the area of the label is 50 square centimeters
PLease answer this!!!
Answer:
the answer is -5
Step-by-step explanation:
simply put the slope is going down one unit so that would me that for every one year equals 5lb so the would make the ratio 5/1 and when we simply that we get -5 for the first year or range they want us to answer.(And its negative because the slope is going down for the range they give us)
Write an equation in slope-intercept form for the line that passes through (4, 1) and is parallel to the line y-1/4x+7
Answer and I will give you brainiliest
Answer:
y = -1/4x + 8
need help pls answer asap!
How far is `75\%` of a `2,000`-kilometer trip?
Answer:
1,500 kilometers
Step-by-step explanation:
To find 75% of 2,000, multiply 2,000 by .75. That gets us 1,500. That means 75% of a 2,000 kilometer trip is 1,500 kilometers.
Answer:
1,500 kilometers
Step-by-step explanation:
Mia measures the length of a leaf with her ruler.
Which of the following values is most likely the value she measured with her ruler?
A
0.0048 m
B
0.157 ft
C
4.8 cm
D
48.41 mm
Answer:
most likely C) 4.8 cm
Step-by-step explanation:
Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let W be the event that the system will work. Specify all the outcomes in W.
[tex]A \ system \ is \ composed \ o f \ 5 \ components \ , \ e ach \ of \ which \ is \ either \ working \ or[/tex][tex]failed. \ Consider \ an \ experiment \ that \ consists \ of \ observing \ the \ status \ of \ each[/tex][tex]component \ . and \ let \ the \ outcome \ of \ the \ experiment \ be \ given \ by \ the \ vector[/tex][tex](x1,x2,x3, x4, x5), \ where \ xi \ is \ equal \ to \ 1\ if \ component \ i \ is \ working \ and \ is \\ equal \ to \ 0 \ if \ component \ i \ is \ failed.[/tex]
[tex](a) \ How \ many \ outcomes \ are \ in \ the \ sample \ space \ of \ this \ experiment?[/tex]
[tex](b) \ Suppose \ that \ the \ system \ wil l \ work \ if \ components \ 1 \ and \ 2 \ are \ both \\ working, or \ if \ components \ 3 \ and \ 4 \ are \ both \ working, \ or \ if \ components \ 1, \ 3, \\ and \ 5 \ are \ all \ working. \ Let \ W \ be \ the \ event \ that \ the \ system \ will \ work. \ Specify \\ all \ the \ outcomes \ i n \ W.[/tex]
Answer:
Step-by-step explanation:
From the given information:
We learned that it is possible that all entities can be in one of two states i.e. 0 or 1. Thus, all 5 entities can either be 0 or 1 (2 states).
∴
Number of outcomes = 2 × 2 × 2 × 2 × 2
= 2⁵
= 32
b)
All the outcomes of W = {(1, 1, x₃, x₄, x₅) (x₁, x₂, 1, 1, x₅) (1, x₂, 1, x₄, 1)}
-2n divided by 3 + (4n - n), when n = 6
Step-by-step explanation:
Divisor = -2n = -2 * 6 = - 12
Dividend = 3 + ( 4 * 6 - 6) = 3 + 18 = 21
Now
21 / -12
dividing numerator and denominator by 3
= - 7 / 4
Step-by-step explanation:
= -2n
= -2×6
= -12
again,
=3+(4n-n)
= 3+4×6-6
=3+24-6
=21
now,
= -12
21
hope it helps.
median for 9, 8, 5, 4, 3,18, 15 *
What is the mode for 1,1,1,2,3,5,10,10,10,10,14,11
Answer:
median: 8
mode: 10
Please help I’ve been stuck for an hour!!!
Answer:
D
Step-by-step explanation:
If Y varies directly with X,
find Y when X=24, if Y = 5
when X= 30.
Answer:
Y=4 when X =24
Step-by-step explanation:
If Y varies directly with X, find Y when X=24, if Y = 5 when X= 30.
We can write:
[tex]Y\:\alpha\: X\\Y=kX[/tex]
Where k is known as constant of proportionality
Now, we are given: Y = 5 when X= 30.
We can find value of k
[tex]Y=kX\\5=k(30)\\k=\frac{5}{30}\\k=\frac{1}{6}[/tex]
Now, we will find Y when X = 24
and k=1/6
[tex]Y=kX\\Y=\frac{1}{6}(24)\\Y=4[/tex]
So, Y=4 when X =24.
as you move to the ______on the number line the values of the numbers ________
Hawall is 6 hours behind Cincinnati. If it is 5 AM in Hawall, what time is it in Cincinnati?
Answer:
11 AM
Step-by-step explanation:
5 + 6 = 11
6/12 + 5/6 + 2/4 + 1/2
Answer:
7/3
Step-by-step explanation:
L.C.M of all of the denominators is 12
We get,
[tex] \frac{6 + 10 + 6 + 6}{12} = \frac{28}{12} \\ \\ = \frac{7}{3} [/tex]
In mixed fraction it becomes 2 1/3
And here is your answer hope it helps :)
Based on the two way frequency table above, what is the ratio / fraction of women who selected a sports car as their preferred vehicle. Express your answer in simplest terms.
45/240
45/180
3/12
1/4
3/16
HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!
Which fraction represents the product of -5/6 times 5/6 in simplest form?
A. -1
B. -5/6
C. -25/36
D. 25/36
Answer:
-25/36
Step-by-step explanation:
-5/6 x 5/6 = -25/36
There is no way to simplify it.
You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.
Answer:
C. -25/36
Step-by-step explanation:
-5/6 x 5/6 = -25/36
There is no way to simplify it.
You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.
Hope this helps :)
What is the value of 15 + x2 when the value of x is 3
Answer:
21
Step-by-step explanation:
15 + (3)2
15 + 6
21
Answer:
24
Step-by-step explanation:
15+x2
= 15 + (3x3)
= 15 + 9
= 24
Subtract
28 1/27 - 2/9=
Answer:
1759. or 27 58/63
63
hope it helps
Sarah has three more than four times the money that Jessica has. Together they have $72. How
much does each person have?
Answer:
Jessica has x amount of dollars.
Sarah has 4x + 3
Together they have $72
We can combine Jessica and Sara's money to equal $72.
x + (4x + 3) = 72
Combime like terms
5x + 3 = 72
Subtract 3 from both sides to isolate the variable.
5x = 69
Divide both sides by 5
x = 69/5 or 13 4/5 or 13.80
Jessica has $13.80 and
Sarah has 4(13.80) + 3
55.20 + 3 = 58.20