Answer: [tex]1728\ in.^3[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular base aquarium is [tex]24\ in.\times 8\ in.\times 10\ in.[/tex]
The gap between top and water level is [tex]1\ in.[/tex] i.e. water is filled up to a height of [tex]10-1=9\ in.[/tex]
Now, the dimensions of the water in the aquarium is [tex]24\ in.\times 8\ in.\times 9\ in.[/tex]
The volume of a rectangular base prism is [tex]l\times b\times h[/tex]
The volume of water in the aquarium is
[tex]\Rightarrow V=24\times 8\times 9=1728\ in.^3[/tex]
find the equation that represents the proportional relationship in this graph
Answer:
y = 4/5x
Step-by-step explanation:
Points on the graph: (5, 4) and (0, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-4)/(0-5)
m=(-4)/(-5)
m= 4/5
Slope-intercept:
y - y1 = m(x - x1)
y - 4 = 4/5(x - 5)
y - 4 = 4/5x - 4
y = 4/5x
This is a portion of the graph of a polynomial function. Apparently the function has a double zero -
a. between -2 and 1
b. between 3 and 4
c. between -2 and -1
d. between 1 and 2
What would be the exponent if you wrote 2,670 in scientific notation? Just write the number for your answer.
Answer:
2.67 x 10^3
Step-by-step explanation
The exponent is equal to how many numbers are after the decimal point. So, since there are 3 numbers after the decimal point, the exponent would be 3. Hope this helps :)
Need help what is the answer, please.
I am so confused
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Answer:
V = 405.04
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
V = 3.14(6.1²)(10.4/3)
V = 3.14(37.21)(10.4/3)
V = 405.04
5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.
Answer:
a or c Im not sure
Step-by-step explanation:
I think b though
The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given,
Loren is running at speed of 10 feet per second.
Speed = distance covered/time taken
10 = distance covered/time taken
In line B, the ratio of distance covered/time taken is 10.
Thus, line B will be correct.
Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".
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Contestants randomly draw a ticket from a hat and replace it. The table shows the results after 40 draws. There are 7 winning tickets in the hat. Predict the total number of tickets in the hat.
Answer:
20, i guess. im only middle school so im guessing it
Ashley has three pencils.
• Two of the pencils are the same length.
• The third pencil is shorter than either of the other two pencils. Ashley wants to use each of the pencils as one side of a triangle. How many unique triangles can Ashley make with the three pencils? ANSWER CHOICES (exactly two) (more than two) (exactly one) (zero)
Answer:
more than two
Step-by-step explanation:
she can make one triangle and flip the angles making it more than 2. she could also make many different varieties of triangles.
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon.
Answer the questions below.
1. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent.
2. Is the cost of gas greater in Buffalo or in Toronto?
3. How much greater?
Answer:
The cost of one gallon of gas in Toronto, Canada is $3.458.
Solution:
Given, One gallon of gasoline in buffalo, New York costs $2.29.
In Toronto, Canada, one liter of gas costs $0.91.
There are 3.8 liters in one gallon.
We have to find how much does one gallon of gas cost in Toronto?
Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.
Cost of one gallon of gas = 0.91 x 3.8 = 3.458
Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.
dome7w and 28 more users found this answer helpful
Step-by-step explanation:
all parallellograms are squares true or false
Answer:
false
Step-by-step explanation:
all parallelograms are not square
their opposite sides only equal
Determine whether the measures for the figure shown are proportional.
a. the length of a side and the perimeter
b. the length of a side and the area
Solve for the Apothem. If the answer has a radical write your answer in the following form, 2v2 = 2sqrt2
Answer:
2sqrt3
Step-by-step explanation:
because it's a 60 30 right triangle. and you have to leave your answer in radical form.
Factor the following expression -4n+2w-16
Answer:
−2(2n−w+8)
Step-by-step explanation: hoped I helped
Answer:
Factor
-2 out of -4n + 2w -16. -2 (2n - w + 8)
Step-by-step explanation:
y = 3csc 20
What is the period?
Answer:
M=0, b= 3 csc (20)
Step-by-step explanation:
Please help me I’m begging you
Answer:
independent= f
dependent= g
what is 4270 rounded to the nearest thousands
Answer:
4,000
_______
*rate this answer and say thanks please!
-8x-10=4x+14 show your work
What is the equation of the square root parent function?
Trisha bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Trisha drink?
Answer:
i don't remember sorry o know thos was no help sorry
Find the length of AB
Answer:
B 25.2
Step-by-step explanation:
AB = AC - BC
= 51.8 - 26.6 = 25.2
What is the equation of the trend line in the scatter plot?
Someone pls help I will pay if you get it right
Given:
The graph of a trend line.
To find:
The equation of the trend line.
Solution:
From the given graph it is clear that the trend line passes through the points (0,4) and (9,7). So, the equation of the trend line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-4=\dfrac{7-4}{9-0}(x-0)[/tex]
[tex]y-4=\dfrac{3}{9}(x)[/tex]
[tex]y=\dfrac{1}{3}x+4[/tex]
Therefore, the equation of the trend line is [tex]y=\dfrac{1}{3}x+4[/tex].
Simplify and show work
(81m^6)^1/2
Click image if helpful
Which of the following inequalities is true?
A) -4 <-5
B) -3<-2
C) 0 <-4
D) 1 < -2
Answer:
B) -3 < -2
Step-by-step explanation:
The smaller the negative number, the more "positive" it is. Also, -2 is more than -3 because it is closer to 0.
Consider the right triangular prism. What is the volume of the right triangular prism? O 15 ft O 30 ft? O 150 ft" O 300 ft)
What is the solution to the system of equations graphed below?
Answer:
one solution (-4, -1)
Step-by-step explanation:
I hope this helps :)
Someone help me on this question..
Answer:
CD= 9
Step-by-step explanation:
AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.
A gumball machine has 450 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in the gumball machine?
Answer:
There are 600 gumballs
Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Answer:
3*∑ (1/2)^n = 6
Step-by-step explanation:
We have the summation from n = 1 to n = ∞, for:
∑ 3/(2)^(n - 1)
We know that the summation between k = 0, and k = N - 1 for:
∑ r^k = (1 - r^N)/(1 - r)
if we have the summation between k = 0 and k = ∞ - 1 = ∞
(here we used that ∞ is really big, then ∞ - 1 = ∞)
In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.
Then if we assume that 0 < r < 1 we can write:
∑ r^k = 1/(1 - r)
In our case, we can rewrite our summation as:
3*∑ (1/2)^n
for n = 0 to n = ∞
You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)
Then we have r = (1/2) which is clearly smaller than 1.
then (1/2)
Then this summation is equal to:
3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6
3*∑ (1/2)^n = 6
What is the area of the triangle?
15 cm
12 cm
Answer:
area = 90 cm²
Step-by-step explanation:
area = 1/2bh = 1/2(12)(15) = 90 cm²
Surface area measures the area of the faces. Area is a blank dimensional measurement, so it is measured in square units.
Answer:
2d or 2 dimensional is the answer i think
Step-by-step explanation:
since area is measured for 2d shapes and surface area is just finding the area of each side separately and adding it together
How many males represented in the Venn diagram below have brown hair or brown eyes?
A diagram contains a rectangle labeled 100 males. The rectangle contains two overlapping ovals. The left oval is labeled brown hair 34, and the right oval is labeled brown eyes 22. The overlapping region is labeled 18. Both ovals are shaded.
74
22
56
34
Answer:
I got this answer right its 56
Step-by-step explanation:
I got this question right
Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74
Number with brown hairs = 34 Number with brown eyes = 22Number with both brown hairs and eyes = 18Number with brown eyes or brown hairs :
Brown eyes + Brown hairs + Both brown hairs and brown eyes
(34 + 22 + 18) = 74
Therefore, 74 males have brown eyes or brown hairs
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