The volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have h = 1.2 ft = 1.2×12 = 14.4 inches
r = 20 inches
[tex]\rm V = \pi (20)^2 \times 14.4[/tex]
After calculating, we get:
V = 18095.57 ≈ 18095.6 cubic inches
Thus, the volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
Learn more about the cylinder here:
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Answer:
Step-by-step explanation:
2
Simplify the expression (4x2y3)2
Answer:
8x^2 2y^3
Step-by-step explanation:
I was confused on how to write the quadratic in standard form
Answer:
3x² + 4x + 8 = 0
Step-by-step explanation:
Standard form of quadratic equation is
ax²+bx+c=0
standard form of quadratic equation 3x²+4x+7=-1 is
3x² + 4x + 7 = -1
3x² + 4x + 7 + 1 = 0
3x² + 4x + 8 = 0
What does this graph show
inverse
direct
neither
Answer:
i think the given graph is inverse
What two operations would you use to solve the equation 5x - 8=-18
-multiplication
-division
-addition
-subtraction
Answer:
subtraction
Step-by-step explanation:
5x-8+8=-18+8
5x=-10
5x/5=-10/5
x=-2
Answer:
addition and division
Step-by-step explanation:
5x - 8 = - 18 ( add 8 to both sides )
5x = - 10 ( divide both sides by 5 )
x = [tex]\frac{-10}{5}[/tex] = - 2
Convert the improper fraction to a mixed number 17/3
Answer:
5 and 2/3
Step-by-step explanation:
17/3 = 17 - 3 = 14
1
14 - 3 = 11
2
11 - 3 = 8
3
8 - 3 = 5
4
5 - 3 = 2
5
So it’s 5 2/3
label the quadrants IV
Answer:
Quadrant IV is always in the bottom right corner.
Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С
Answer: C) add 12 to both sides
Reason:
We add 12 to the left side to undo the -12, which will get y by itself.
We must do the same thing to both sides to keep things balanced.
What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}
Find the minimum value of
\[\frac{x^2 + 9}{x}\]for $x > 0.$
I tried this but I didn't get it, could someone explain?
I hope this will help you a lot
whats 55 + 55? I've been struggling and I can't take it anymore. I saw the memes and I need the real absolute final answer. pls help
Answer:
110
50+50=100
5+5=10
100+10=110
(thats how i do mental math)
If v₁ = (3,-4) and v₂ = (2,6), then v₁v₂ is equal to which of the following?
O A. (-12,-24)
OB. 30
O C. -18
OD. (6,-24)
Answer:
C. -18
Step-by-step explanation:
Scalar Product (Dot Product) of two vectors
[tex]\displaystyle \vec{a} \cdot \vec{b}=\sum_{i=1}^na_ib_i[/tex]
[tex]\textsf{If }\: \vec{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \quad \textsf{and } \quad \vec{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}[/tex]
[tex]\textsf{then }\quad \vec{a} \cdot \vec{b}=a_1b_1+a_2b_2+a_3b_3[/tex]
Given:
v₁ = (3, -4)v₂ = (2, 6)⇒ v₁ · v₂ = (3 · 2) + (-4 · 6)
⇒ v₁ · v₂ = 6 + (-24)
⇒ v₁ · v₂ = 6 - 24
⇒ v₁ · v₂ = -18
I'll give brainiest to the first person to respond BUT only if the answer is correct
Answer:
115 and 1/2
Step-by-step explanation:
B•W•H
Hope this helps! ;-)
Thanks for correcting my mistake!!!
Answer: The answer is 115 1/2
Explanation: Just multiply all the dimensions
Answer Quickly and Correctly for Brainlist!!! Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.
Answer:
the difference in their ages is 31/2
Step-by-step explanation:
151/2=2x15+1/2=31/2
In a company which services air-conditioner units, the revenue,
$r, is given by the equation r = 20x, where x is the number of
units serviced. The operating cost, $c, is given by the equation
c= 3600 + 4x.
The profit, $P, is given by the expression, r — c.
(a) Find a formula for P in terms of x only.
(b) For each of the following cases, find the value of x if
(i) the revenue earned is twice that of the cost,
(ii)the profit earned is $292 more than one third of the revenue
earned.
Answer:
p(x) = 16x -3600600 units417 unitsStep-by-step explanation:
The problem statement gives expressions and relations for revenue, cost, and profit. Substitute and simplify or solve, as appropriate.
__
(a)Given: r(x) = 20x; c(x) = 3600+4x; p(x) = r(x) -c(x)
The formula for p(x) is ...
p(x) = (20x) -(3600 +4x) . . . . substitute for r(x) and c(x)
p(x) = 16x -3600 . . . . . . . . simplify
__
(b-i)r(x) = 2·c(x) . . . . given relation for revenue and cost
20x = 2(3600 +4x) . . . . substitute for each
12x = 7200 . . . . . . . simplify and subtract 8x
x = 600 . . . . . . . divide by 12
Revenue is twice the cost when x = 600 units.
__
(b-ii)p(x) = 292 +1/3r(x) . . . . given relation for profit and revenue
16x -3600 = 292 +1/3(20x) . . . . . substitute for each
28/3x = 3892 . . . . . . . . add 3600 -20/3x
x = 417 . . . . . . . . multiply by 3/28
Profit is $292 more than 1/3 the revenue earned for 417 units.
Given the system below:
f(x) = 2x
g(x) = 2x
Which value(s) of x make f(x) = g(x) a true statement? If necessary, you may choose more than one
answer.
1
4
3
2
9
0
All real numbers
1. f(x) = 2x
2. g(x) = 2x
Substitute g(x) to the 2x in the first statement.
You'll get: f(x) = g(x)
Therefore, x ∈ all real numbers (any value of x would make it a true statement)
A baby is born weighing 120 ounces. At 1 year, the same baby weighs 14 pounds. How many pounds did the bay gain?
What happens to warm air when it cools?
A) It sinks back down to Earth.
B) It is absorbed into clouds.
C) It remains in Earth’s upper atmosphere.
D) It breaks apart and disappears.
Answer:
b
Step-by-step explanation:
hj
Answer:Its B,dude
Step-by-step explanation:
discuss why area: perimeter for a square ÷ 4.
Step-by-step explanation:
because its formula is 4L
Given the equations and the graph below, how many solutions are there to the system of equations?
Explain your answer.
Answer:
One, since the lines are not parallel (you can tell by either the graph, or the coefficient of the x term, called "slope", and it's (3;4)
Help? It’s for scantron and I have to exempt
Answer:
A. Red/Line C
Step-by-step explanation:
If cost of 15 eggs is Rs. 75, then find out the cost of 4 dozens eggs.
a.₹ 185
b.₹ 150
c.₹ 300
d.₹ 240
Answer:
The answer is d 240. You will first find how much 1 egg costs then times 12 times 4 equal to 48 times how much 1 egg Costs equal to 240
Which answers describe the shape below? Check all that apply.
Answer:
Step-by-step explanation:
A: Not a Rhombus. Adjacent sides are unequal
B: True. Opposite sides are parallel
C: True. Adjacent sides are unequal in length but it has two sets of parallel lines and at least 1 right angle.
D: Not a square. Not all 4 sides are of equal length
E: It is a quadrilateral. A quadrilateral only requires 4 sides.
F: Not true. It does not have the properties of a trapezoid.
Jim works as a manager at a local supermarket in dallas. jim worked 36 hours and his paycheck for this week was $1,620.51. how much does jim make per hour? round your answer to the nearest cent.
324
Step-by-step explanation:
roughly about that much
Mason has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$15 $35 $21 $29 $30 $19
Answer:
21, 29, 30, 35
Step-by-step explanation:
anything greater than 20 would break even and then give a position balance
What are the ratio of the perimeters and the ratio of the areas?
Check the picture below.
the ratio of the sides will be the same ratio of their perimeters
[tex]\stackrel{\textit{\LARGE ratio of their}}{\stackrel{perimeters}{\cfrac{6}{15}\implies \cfrac{2}{5}}\hspace{5em}\stackrel{areas}{\cfrac{2^2}{5^2}\implies \cfrac{4}{25}}}[/tex]
A line passes through the points (-4,3) and (0, 0). What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
ΔY / ΔX, or change in y divided by change in x
(-4,3) and (0, 0)
x increases by 4
y decreases by 3
-3/4
Answer:
It is -3/4
Step-by-step explanation:
The top three teams qualified to compete at the state competition. At the state competition, however, scoring is done differently than at the other meets. Use the following information to create a system of equations where is the points for first place, is the points for second place, and is the points for third place.
Results:
Eagles got 5 first-place, 3 second-place, and 4 third-place finishes with a team total of 67 points.
Pirates got 2 first-place, 5 second-place, and 5 third-place finishes with a team total of 56.
Devil Rays got 6 first-place, 3 second-place and 3 third-place finishes with a team total of 72.
We can’t believe the Devil Rays came from behind and won! We need to determine how many points were awarded for each place. Use Cramer’s rule or inverse method to get the answers. Explain your process.
The equations are
5x+3y+4z=672x+5y+5z=566x+3y+3z=72Lets solve them through matrix
Let
[tex]\\ \rm\Rrightarrow A=\left[\begin{array}{ccc}\rm 5&\rm 3&\rm 4\\ \rm 2&\rm 5&\rm 5\\ \rm 6&\rm 3&\rm3\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\left[\begin{array}{c}\rm x\\ \rm y\\ \rm z\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow B=\left[\begin{array}{c}\rm 67 \\ \rm 56\\ \rm 72\end{array}\right][/tex]
Let solve
Determinant of A
[tex]\\ \rm\Rrightarrow |A|[/tex]
[tex]\\ \rm\Rrightarrow 5\left|\begin{array}{cc}\rm 5&\rm 5\\ \rm 3&\rm 3\end{array}\right|-3\left|\begin{array}{cc}\rm 2&\rm 5\\ \rm 6&\rm 3\end{array}\right|+4\left|\begin{array}{cc}\rm 2&\rm 5\\ \rm 6&\rm 3\end{array}\right|[/tex]
[tex]\\ \rm\Rrightarrow 5(15-15)-3(6-30)+4(6-30)[/tex]
[tex]\\ \rm\Rrightarrow 72-96[/tex]
[tex]\\ \rm\Rrightarrow -24[/tex]
Cofactor[tex]\\ \rm\Rrightarrow A_{11}=0[/tex]
[tex]\\ \rm\Rrightarrow A_{12}=24[/tex]
[tex]\\ \rm\Rrightarrow A_{13}=-24[/tex]
[tex]\\ \rm\Rrightarrow A_{21}=3[/tex]
[tex]\\ \rm\Rrightarrow A_{22}=-9[/tex]
[tex]\\ \rm\Rrightarrow A_{23}=3[/tex]
[tex]\\ \rm\Rrightarrow A_{31}=-5[/tex]
[tex]\\ \rm\Rrightarrow A_{32}=-17[/tex]
[tex]\\ \rm\Rrightarrow A_{33}=19[/tex]
Cofactor of A[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 24&\rm -24\\ \rm 3&\rm -9&\rm 3\\ \rm -5&\rm -17&\rm 19\end{array}\right][/tex]
Adjacent of A[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 24&\rm -24\\ \rm 3&\rm -9&\rm 3\\ \rm -5&\rm -17&\rm 19\end{array}\right]^T[/tex]
[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right][/tex]
Inverse of A[tex]\\ \rm\Rrightarrow \dfrac{1}{|A|}\times Adj.A[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{-24}\left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right][/tex]
Now
[tex]\\ \rm\Rrightarrow AX=B[/tex]
[tex]\\ \rm\Rrightarrow X=A^{-1}B[/tex]
[tex]\\ \rm\Rrightarrow X=\dfrac{1}{-24}\left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right]\left[\begin{array}{c}\rm 67\\ \rm 56\\ \rm 72\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\dfrac{1}{-24}\left[\begin{array}{c}\rm -192\\ \rm -120\\ \rm -72\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\left[\begin{array}{c}\rm 8\\ \rm 5\\ \rm 3\end{array}\right][/tex]
So
[tex]\\ \rm\Rrightarrow \left[\begin{array}{c}\rm x\\ \rm y\\ \rm z\end{array}\right]=\left[\begin{array}{c}\rm 8\\ \rm 5\\ \rm 3\end{array}\right][/tex]
We get
x=8y=5z=3Tara made a scale drawing of a boarding school. she used the scale 1 centimeter : 7 meters. a building at the school is 12 centimeters long in the drawing. how long is the actual building?
Answer:
84cm
Step-by-step explanation:
Given that;
1cm = 7m
12cm = x
Cross Multiply
x = 12×7
x = 84m
What are the solutions of the equation 6x^2-x-1=0
Answer:
x=1/2 or x=-1/3
Step-by-step explanation:
6x^2-x-1=0
6x^2+2x-3x-1=0
(6x^2+2x)+(-3x-1)=0
2x(3x+1)-1(3x+1)=0
2x(3x+1)-1(3x+1)=0
(2x-1)(3x+1)=0
(2x-1)(3x+1)=0
2x-1=0
or
3x+1=0
x=-1/3
x=1/2
Answer:
Its 1/3 and -1/2
Step-by-step explanation:
Please help me
Which equation has the same solutions as x²+6x-7=0 ?
A) (x+3)²=2
B) (x-3)²=2
C) (x-3)²=16
D) (x+3)²=16
Answer:
[tex]D)~(x+3)^2 = 16[/tex]
Step-by-step explanation:
[tex]~~~~~~x^2 +6x -7 = 0\\\\\implies x^2+6x = 7\\\\\implies x^2 +2 \cdot 3 \cdot x +3^2 -3^2 = 7\\\\\implies x^2 +2 \cdot 3 \cdot x+3^2 = 7+3^2\\\\\implies (x+3)^2 = 7+9\\\\\implies (x+3)^2 = 16[/tex]