The expression that represents the volume of the prism is
2 × 3 × 9 units³. That is option C.
What is a prism?Prism is defined as the type of polyhedron that has two polygonal faces lying in parallel planes and with the other faces parallelograms.
A prism can be of a regular shape or of an irregular shape. The volume of a regular shapes prism can be calculated using the formula stated below
volume of a prism = l × b × h
Length (l) = 9 units
Breath = 2 units
Height (h) = 3 units.
Therefore, the volume of the given prism can be calculated as 2 × 3 × 9 units³.
Learn more about volume here:
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keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?
Answer:
7920
Step-by-step explanation:
Calculator
An angle measures 78° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
Step-by-step explanation:
Supplementary angles add up to 180°.
If the angle is x, its supplement is 180°-x.
x = (180°-x) - 78°
x = 51°
supplement = 180°-x = 129°
The angles are 51° and 129°
A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?
Answer:
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
Step-by-step explanation:
Let x represent the length of the first piece.
Since the second piece is 5 ft longer than the first, it can be represented by x + 5
Since the third piece is 1 ft longer than the second, it can be represented by x + 6
Create an equation that adds all of these terms up to 32, and solve for x
(x) + (x + 5) + (x + 6) = 32
3x + 11 = 32
3x = 21
x = 7
So, the first piece is 7 ft long.
Using the expressions we created, solve for the lengths of the second and third pieces.
x + 5
7 + 5 = 12
x + 6
7 + 6 = 13
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
John is 70 years younger than Sharon. Sharon is 4 times as old as John.
If you let s = Sharon's age and j = John's age, then the problem can be represented by a system of equations. Which of the
following shows a graph of this system and the solution to this problem?
1
Answer:
j = 23 years-old s = 92 years old.
Step-by-step explanation:
j = s - 70
s = 4j
j = 4j - 70
-3j = -70
j = 70/3
j = 23
s = 92
In the last 20 sets of volleyball, Hailey has scored over 8 points
sets of volleyball that Hailey plays?
3
of the time. What prediction can you make about the next 10
She will score over 8 points 3 times.
B)
She will score over 8 points 4 times.
She will score over 8 points 6 times.
D)
She will score over 8 points 8 times.
Answer:
B she will score over 8 points 4 times
Step-by-step explanation:
Calculate the circumference. show me process
Answer:
Radius is 13
13 x 3.14 x 2 = 81.64
Formula of circumference:
2 x pie(3.14 or 22/7) x r (radius
Can someone help with this question plz
Answer:
A: 2x + 13 = 59
Step-by-step explanation:
1/5 x 10 = 2 and 1/5 x 5 = 1, then you equation looks like this:
12+2x+1=59
Next, you must do 12+1 which gives you 13. Therefore the simplified equation is 2x+13=59
Find the 20th term in the following
arithmetic sequence :
12, 15, 18, 21, ..
The graph of a linear function
is shown on the grid.
What is the rate of change of y with respect to x for this function?
Record your answer in the space below.
Pls help 10 ptsssssssssssss
NO LINKS
Answer: If m=2, then 28 divided by 2 equals 14. Plug m into the equation.
can you do this math test for me i need it done by 4:00
Answer:
14. x=1, x=−9
x^2 + 8x + 20 = 29
x^2 + 8x + 4^2 = 9 + 4^2
(x + 4)^2 = 25
x + 4 = ± 5
15. x = -1/2, x = -3/2
4x^2+8x+3=0
x = -8 ± √8^2-4x4x3/2x4
x = -8 ± √64-4x4x3/2x4
x = -8 ± √64-16x3/2x4
x = -8 ± √64-48/2x4
x = -8 ± √16/2x4
x = -8 ± √4/2x4
x = -8 ± √4/8
x = -4/8
x = -1/2
x = -12/8
x = -3/2
16. -36
Use the values of a, b, and c to find the discriminant.
17. x=2, x=−2
3x^2 + 5 = 17
3x^2 + 5 - 17 = 0
3x^2 - 12 = 0
x^2 - 4 = 0
(x−2)(x+2)=0
x=2 x=−2
18. x=12
, x=−12
x^2 = 144
x^2 - 144 = 0
(x−12)(x+12)=0
x=12,
x=−12
19. x=2√5+3, x=3−2√5
x−3=2√5
x−3=−2√5
x−3−(−3)=2√
5−(−3)
x−3−(−3)=−2√5−(−3)
x=2√
5−(−3)
x=−2√5−(−3)
x=2√5+3
x=3-2√5
20. t = -√24-h/4+1, t = √24-h/4+1, h≤24
Word bank:
A) zeroes
B) axis of symmetry
C) y-value of the vertex
Step-by-step explanation:
I hope this helps!
5 x 100 + 4 x 10 + 6 x 1 + 2 x ( 1/10) + 8 x ( 1/1000) =?
Answer:
68276/125
Step-by-step explanation:
500+40+6+1/5+1/125
546+26/125
68276/125
Answer:
546.208
Step-by-step explanation:
5
⋅
1
0
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+
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6
⋅
1
+
2
(
1
1
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)
+
8
(
1
1
0
0
0
)
{\color{#c92786}{5}} \cdot {\color{#c92786}{100}}+4 \cdot 10+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})
5⋅100+4⋅10+6⋅1+2x(101)+8x(10001)
5
0
0
+
4
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1
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(
1
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)
500+{\color{#c92786}{4}} \cdot {\color{#c92786}{10}}+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})
500+4⋅10+6⋅1+2x(101)+8x(10001)
5
0
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+
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1
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)
500+40+{\color{#c92786}{6}} \cdot {\color{#c92786}{1}}+2x(\frac{1}{10})+8x(\frac{1}{1000})
500+40+6⋅1+2x(101)+8x(10001)
5
0
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8
(
1
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)
500+40+6+{\color{#c92786}{2}}x \cdot {\color{#c92786}{\frac{1}{10}}}+8x(\frac{1}{1000})
500+40+6+2x⋅101+8x(10001)
5
0
0
+
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6
+
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(
1
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6
+
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+
8
(
1
1
0
0
0
)
500+40+6+\frac{1}{5}x+8x(\frac{1}{1000})
500+40+6+51x+8x(10001)
5
0
0
+
4
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+
6
+
1
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8
(
1
1
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)
)
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6
+
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+
8
(
1
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)
500+40+6+\frac{1x}{5}+8x(\frac{1}{1000})
500+40+6+51x+8x(10001)
5
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(
1
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+
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8
⋅
1
1
0
0
0
500+40+6+\frac{x}{5}+{\color{#c92786}{8}}x \cdot {\color{#c92786}{\frac{1}{1000}}}
500+40+6+5x+8x⋅10001
5
0
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2
5
500+40+6+\frac{x}{5}+\frac{1}{125}x
500+40+6+5x+1251x
5
0
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+
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+
6
+
5
+
1
1
2
5
500+40+6+\frac{x}{5}+\frac{1x}{125}
500+40+6+5x+1251x
9
Multiply by 1
5
0
0
+
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0
+
6
+
5
+
1
1
2
5
500+40+6+\frac{x}{5}+\frac{1x}{125}
500+40+6+5x+1251x
5
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2
55
0
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{\color{#c92786}{500}}+{\color{#c92786}{40}}+{\color{#c92786}{6}}+\frac{x}{5}+\frac{x}{125}
500+40+6+5x+125x
5
4
6
+
5
+
1
2
5
{\color{#c92786}{546}}+\frac{x}{5}+\frac{x}{125}
546+5x+125x
Show less
Solution
5
4
6
+
5
+
1
2
5
Roman used 10% off coupon to buy a toaster that was originally priced at $18.48. Is the final amount cheaper or more expensive than the original price?
Correct answer gets Brainliest! Have an amazing day!! :)
i-Ready
Equivalent Linear Expressions - Instruction - Level G
3
-2 +1+
4
2
) Write an expression that is equivalent to
2
3
1
20.
2
2
1
3
-2 +1+ 2
4
4
1
2
2
2 +
?
3
Answer:
LEavel ^ 9-8=1
Step-by-step explanation:
HELP PLS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
area = 255 [tex]m^{2}[/tex]
perimeter = 20+6.7+8+8+15+26 = 83.7m
Step-by-step explanation:
top left triangle - base is 3 because (20-8-9). so 1/2 bh = 1/2 (3) (6) = 9
left rectangle = l x w = 20 x 6 = 120
middle square = l x w = 8 x 9 = 72
lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54
9+120+72+54 = 255
HELP PLZZZ HELP I’ll give u BRAINLY
Answer:
1 Factor out the common term 22.
2(x+3y)=6
2(x+3y)=6
2 Divide both sides by 22.
x+3y=\frac{6}{2}
x+3y=
2
6
3 Simplify \frac{6}{2}
2
6
to 33.
x+3y=3
x+3y=3
4 Subtract 3y3y from both sides.
x=3-3y
x=3−3y
Answer:
x=3 and y=2
Step-by-step explanation:
I hope I"m right and if I am can I be marked brainliest.
Tickets to a movie cost $5 for adults and $3 for students m. A group of friends purchased 18 tickets for $82. How many adults tickets did they buy?
Answer:
1230
Step-by-step explanation:
i multipled to see what i was gone get
What are some random numbers that add up to 50?
Answer:
25+25, 40+10, 35+15 If that's your question, not sure. But if you mean what's divisible by 50, maybe 10, 5
Step-by-step explanation:
WILL MAKE BRAINLIEST
write the slope intercept form of the equation of each line
Answer:
3. y = -3x + 2
4. y = 3x - 5
Step-by-step explanation:
Slope-intercept form equation is given as y = mx + b.
3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).
Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1
m = -3
Find the y-intercept (b):
The y-intercept (b) = 2 (this is where the line intercepts the y-axis)
b = 2
✅To write the equation, substitute m = -3 and b = 2 into y = mx + b
Thus:
y = -3x + 2
4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).
Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3
m = 3
Find the y-intercept (b):
The y-intercept (b) = -5 (this is where the line intercepts the y-axis)
b = -5
✅To write the equation, substitute m = 3 and b = -5 into y = mx + b
Thus:
y = 3x + (-5)
y = 3x - 5
"Lily wants to buy a tablet that costs $120. Her dad said that
he would pay 30% of the cost. How much money will her
father contribute towards the tablet?"
Answer:
36$
Step-by-step explanation:
120×0.3 =36$
or
120=100%
1.2=1% /×30
36=30%
$30 will be contributed by her father
Ex: You invested $1000 in a savings account. The account pays 5% annual interest.
How much will be in the account after 6 years?||
1
Answer:
I KNOW THE ANSWER ITS 5000
Step-by-step explanation:
SUB to sir sir bmgo
What is the Probability of flipping a coin and landing on heads (unlikely,likely,Equally likely of certain,or impossible)
Answer:
Equally likely
Step-by-step explanation:
A coin has two sides, heads and tails, so if you flip it, you have a 50% chance to get heads and a 50% chance to get tails. 50% - 50% is an equal ratio, therefore having an equal chance of likelyhood to get heads.
What's is the value of the expression 4v+r² when v equals 4 and r equals 3
Answer:
25
Step-by-step explanation:
4(4) + 3^2 ---> plug in 4 for v and 3 for r into the expression
16 + 9 = 25
hope this helps!
For which function and interval can the extreme value theorem be applied?
O f(x) =
Х
(x-6)
over the interval [3, 5)
-5
f(x) =
2(x-7)3
over the interval (6,8)
f(x) = 4 tan(Ttx) over the interval [0, 1]
f(x) = 3e' + 1 over the interval (1,3)
Answer:
A
Step-by-step explanation:
A function assigns the value. The function on which the extreme value theorem can be applied is f(x)=x/(x-6)².
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
In a function for the extreme value theorem to be applicable, the function must be continue between the given interval.
The denominator of the first function will not continue when the value of x= 6, which is not in the interval [3,5). Therefore, the extreme value theorem is applicable.
To verify if the system will continue or not, you can plot the graph of the function, and look between the interval if the function continues or not. As shown below.
Hence, the function on which the extreme value theorem can be applied is f(x)=x/(x-6)².
Learn more about Function:
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Which of these is a statistical question? I accidentally clicked an clicked an answer, but I want to know which one is the right one.
Step-by-step explanation:
I think A is the answer to your question
Can someone help me pls
Answer:
16.01
Step-by-step explanation:
sin 88° = 16/x
0.9994x = 16
x = 16.01
please help asap!!!!!!!!!!!!!!!
Answer:
x=22
Step-by-step explanation:
two interior angles = exterior angle
2x+2x+8=3x+30
4x+8=3x+30
x=30-8
x=22
need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
1) 2/3
2) 5x/2
Step-by-step explanation:
The fraction simplification process involves finding the largest common factor in the numerator and denominator, then dividing that from both.
1)
[tex]\dfrac{8}{12}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{2}{3}\cdot\dfrac{4}{4}=\dfrac{2}{3}\cdot1 =\boxed{\dfrac{2}{3}}[/tex]
__
2)
[tex]\dfrac{15x^2}{6x}=\dfrac{5x\cdot3x}{2\cdot3x}=\dfrac{5x}{2}\cdot\dfrac{3x}{3x}=\dfrac{5x}{2}\cdot1=\boxed{\dfrac{5x}{2}}[/tex]
In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of ther- mal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Ğ¢ÑÑеп ni xi si
Graded 42 0.486 0.187
No-fines Ñ 42 0.359 0.158
Assume that the conductivity for each sample of concrete is independent of that of all the others. Our interest is in determining if the mean conductivity for the graded concrete is significantly different than the mean conductivity for the no-fines concrete?
Required:
a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Step-by-step explanation:
Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Type ni xi si
Graded 42 0.486 0.187
No-fines 42 0.359 0.158
To find - a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Proof -
a.)
Hypothesis testing problem :
H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
b)
Test statistic :
[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]
[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]
[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]
[tex]Z = \frac{0.127 }{0.0377}[/tex]
⇒Z(cal) = 3.3687
Z(tab) = 1.96
As Z (cal) > Z(tab)
So, we reject H0 at 5% Level of significance
p-value = 0.99962
Hence
There is significant difference in mean conductivity at the two materials.
Hi here is the problem
Answer:
Look at the image.
Step-by-step explanation:
24 ÷ 4 = 6
6 × 9 = 54
24 ÷ 3 = 8
8 × 5 = 40