Answers
Answer:
The volume of the rectangular prism is [tex]8\frac{1}{2}\ units^{3}[/tex]
Step-by-step explanation:
we know that
The Volume of a rectangular prism is equal to
[tex]V=BL[/tex]
where
B is the area of the base
L is the length of the prism
In this problem we have
[tex]B=2\frac{1}{8}\ units^{2}=\frac{8*2+1}{8}=\frac{17}{8}\ units^{2}[/tex]
[tex]L=4\ units[/tex]
substitute
[tex]V=(\frac{17}{8})(4)=\frac{17}{2}=8\frac{1}{2}\ units^{3}[/tex]
Related Questions
Find the volume of a sphere with a surface area of 3600pi in squared.
Answers
Answer:
36000pi
Step-by-step explanation:
V = 4/3*pi*r^3 so we need to know r
we know surface area, which is 4pi*r^2=3600pi. so we can solve for r
r=30
so v = 4/3*pi*30^3 = 36000pi
PLEASE HELP!!!!! EXPLAIN!!!!
Sam conducted a survey to find out the favorite weekend activity of the students in his middle school. He asked 20 of his classmates. He found out that the favorite weekend activity of his middle school is playing video games because 75% of the students he surveyed liked to play video games. Explain why Sam’s sample may not be valid. Provide 2 or 3 sentences of explanation with facts to support your answer. How could Sam improve his survey to be more representative of his school?
Answers
Answer:
So, Sam only asked 20 people in his entire middle school. That is a very small fraction of the amount of kids attending that school. He cannot say that video games is 75% of the entire school's favorite weekend activity if he only asked 20 people. To get a better, more valid result, he should ask around 100+ kids.
Step-by-step explanation:
Which number line best shows how to solve −4 − (−6)?
Answers
Answer:
the answer is A
Step-by-step explanation:
because two negatives turn to a positive
Answer:
A
Step-by-step explanation:
It is a rule that two negatives make a positive. Also, it is the only one with the correct format on the number line.
Wes and Tom are buying rare coins for $9,500 and investing money in the ratio of 3 to 2. How much will each man invest?
Answers
Answer:
one spent $3,800 and the other spent $5,700
Step-by-step explanation:
first add the 3 and 2 so you get 5 then divide 9,500 into 5 which is 1900 then multiply that by 2 which is 3800 now we know one man spent $3800 then we do the same thing with 3 so we take 1900 and multiply it by three which is $5700
your answer is that one man spent $3,800 and the other spent $5,700
Please help me and please don't answer if you're not a 100% sure!
The answer choices are
A. 93
B. 31
C. 69
D. 300
Answers
Answer:
A
Step-by-step explanation:
We obviously can take out D and B, as roses are 31% while carnations are 19%. Since roses have a larger percentage, it obviously can't be less than carnations but 300 is beyond the logical answer. This leaves us with 69 or 93. 19% is 57, so a 12 percent rise will not equal an increase of only 12 flowers. Therefore, without even any calculations, I can confidently tell you that your answer is A.
The equation h=-16t^2 , HELP! ID APPRECIATE IT!
Answers
Answer:
37.52 feet
Step-by-step explanation:
Given in the question the equation
h = -16t² + 47t + 3
where h is height in feet
t is time in minutes
a = -16
b = 47
c = 3
To find the maximum height of the football
If a, the coefficient of the x² term, is positive, then the parabola opens upward. If a is negative, then the parabola opens downward. In this case it is -16 which is negative so it open downward.The value of -b/2a tells you the x value of the vertex of the curve at which it is maximumPlug this value in the equation to find h, maximum height.t = -b / 2a
= -47 / 2(-16)
= 1.47 sec
h = -16(1.47)² + 47(1.47) + 3
= 37.52 feet
Factor & Finding Zeros
x^{2} -x-6=0
Answers
Answer:
x = 3, -2
Step-by-step explanation:
To help us factor, we can split the middle term up into the sum of the terms -3x and 2x:
[tex]x^2+(-3x)+2x-6=0[/tex]
From there, we can factor out an x from the first two term and a 2 from the last two to obtain the equation
[tex]x(x-3)+2(x-3)=0[/tex]
Factoring out an (x - 3) from each term gives us the equation
[tex](x-3)(x+2)=0[/tex]
At this point, we can divide by either x - 3 or x + 2 to obtain the two equations
[tex]x-3=0[/tex] and [tex]x+2=0[/tex]
Solving both for x gives us the solutions x = 3 and x = -2. We can verify these by substituting them back into the original equation:
[tex]3^2-3-6=0\\9-3-6=0\\6-6=0\\0=0[/tex]
[tex](-2)^2-(-2)-6 = 0\\4+2-6=0\\6-6=0\\0=0[/tex]
Point
Which of the following describes a point?
A. one dimensional
B. zero dimensional
C. three dimensional
D. two dimensional
Answers
(B) Zero-dimensional describes a point.
What is the point?A point has no length, area, or volume and is, therefore, zero-dimensional.Two-dimensional:A flat plane figure or a shape with two dimensions—length and width—are both considered two-dimensional shapes in geometry. Shapes that are two-dimensional, or 2-D, have only two faces and no thickness. The proportions of a figure can be used to categorize it.Two-dimensional shapes include the triangle, square, rectangle, pentagon, and circle.Three-dimensional:Three values are needed to locate an element in three-dimensional space, which is a geometric setting. This is how the term "dimension" is generally used. A tuple of n numbers in mathematics is equivalent to the Cartesian coordinates of a point in an n-dimensional Euclidean space.Therefore, the correct answer is (B) Zero dimensional because it cannot be one or zero dimensions, since a vector is a three-dimensional point.
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angle a and angle C or protocol angles if M angle a equals 3x + 7 degrees and M angle C equals x + 53° what is the value of x
Answers
3x+7=x+53
Subtract x from both sides
2x+7=53
Subtract 7 from both sides
2x=46
X=23
Angelo bought apples and bananas at the fruit salad. He bought 20 pieces of fruit and spent $11.50. Apples cost $0.50 and bananas cost $0.75 each. Write a system of equations to model the problem. (Hint: One equation will represent the number of pieces of fruit. A second equation will represent the money spent on the fruit.)
Answers
Since y=6, we can plug it in the second equation so it would be x+6=20 which means x=14, you can comment if anything confuses you
What is the additive inverse of the polynomial? -6x^3+4x^2-4x
Answers
Answer:
The additive inverse is equal to [tex]6x^{3}-4x^{2}+4x[/tex]
Step-by-step explanation:
we know that
Two polynomials area additive inverses if they are opposites of each other
we have
[tex]-6x^{3}+4x^{2}-4x[/tex]
To find the additive inverse multiply the polynomial by -1
[tex]-1*(-6x^{3}+4x^{2}-4x)=6x^{3}-4x^{2}+4x[/tex]
PLEASE HELP ASAP
Use a system of equations to solve each problem.
1) At an “all you can eat” spaghetti dinner, the volunteers served 210 people and raised $935. Adult meals cost $6 and child meals cost $3.50.
a) Write an equation for the total amount of money raised from the adult and child dinners served.
b) Write an equation for the total number of adult and children dinners served.
c) Solve the system of equations to find the number of adult and number of child dinners served.
Answers
Answer:
its bStep-by-step explanation: Because
210 divided by 6= 35
and
210 divided by 3.50= 60
so the answer would be:
C) solve the system of equations to find the number of child and adult dinners served
Work out the base of a square with area, A = 4cm2.
Answers
Answer:
each side of the square is 2cm
To find the base of a square with an area of 4 cm², we take the square root of the area. The base of the square is 2 cm because the square root of 4 is 2.
To work out the base of a square with an area of 4 cm², we note that a square's area is calculated by multiplying one of its sides by itself, which is represented as side length² or a². Given that a square's area is 4 cm², we set up the equation a² = 4 cm². Solving for a, we take the square root of both sides of the equation. The side length a is thus 2 cm, since the square root of 4 is 2. Therefore, the base of the square is 2 cm.
It costs 3 tickets to play a game at the fair. If you spent 21tickets on the game, which equation could you use to solve for the number of games, g?
A) 21g=3
B) 21·3=g
C) g/3=21
D) 3g=21
Answers
➷ The correct option would be D. 3g = 21
As it is 3 tickets per game, the total number of tickets would be 3 multiplied by the number of games
This equation could then be rearranged to find the number of games.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
The answer is D.
Step-by-step explanation:
It costs 3 tickets to play a game at the fair.
So the number of games, g = total number of tickets / 3,
g = 21 / 3
3g = 21
The answer is D.
Evaluate C(7, 3). 4 35 70
Answers
Answer:
option B
35
Step-by-step explanation:
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
Formula to calculate combination
nCr = n! / r! * (n - r)!
We are given C(7,3)
here n = 7
r = 3
So plug values in the formula7C3 = 7! / 3! * (7 - 3)!
= (7x6x5x4x3x2) / (3x2)(4x3x2)
= (7x6x5) / (3x2)
= 210 / 6
= 35
Final answer:
The value of C(7, 3), which is the number of combinations of 7 items taken 3 at a time, is 35. The calculation uses the combinations formula C(n, k) = n! / (k! * (n - k)!), simplifying the factorials and the result is determined.
Explanation:
To evaluate C(7, 3), we need to calculate the number of combinations of 7 items taken 3 at a time. The formula for a combination is given as:
C(n, k) = n! / (k! * (n - k)!)
Here, n represents the total number of items and k represents the number of items to choose. Let's plug in the values to calculate this:
C(7, 3) =[tex]7! / (3! * (7 - 3)!) = 7! / (3! * 4!)[/tex] = (7 x 6 x 5 x 4 x 3 x 2 x 1) / ((3 x 2 x 1) * (4 x 3 x 2 x 1))
After canceling the matching factorial terms, we get:
C(7, 3) = (7 x 6 x 5) / (3 x 2 x 1) = 210 / 6 = 35
Therefore, the value of C(7, 3) is 35.
Tomato paste is sold in a cylindrical can. The can has a radius of 1.5 inches and a height of 4.8 inches. What is the volume of the can?
Answers
Answer:
33.912 in
Step-by-step explanation:
find the area of the circle first by: multiplying 1.5squared X 3.14= 7.065
the multiply it by the height (4.8) = 33.912
The volume of the cylindrical can is 33.9292 cubic inches.
What is volume of a cylinder ?The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. The volume is given by the formula -
V = π * [tex]r^{2}[/tex] * h
where V = volume of cylinder, r = radius and h = vertical height
How to calculate the volume of the given cylinder ?It is said that the cylindrical can has a radius of 1.5 inches and a height of 4.8 inches.
Thus we have r = 1.5 inches and h = 4.8 inches .
⇒ Volume (V) = π * 1.5 * 1.5 * 4.8 cubic inches
∴ V = 33.9292 cubic inches .
Therefore, the volume of the cylindrical can is 33.9292 cubic inches.
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Simplify the expression. (X^3)^-5
Answers
➷ When exponents are separated with parenthesis, multiply them together:
3 x -5 = -15
The simplified expression would be X^-15
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer: x^15
have a great day
Find the area of A triangle with a base length of six units and a height of seven units
Answers
Answer:
A = 21
Step-by-step explanation:
Hello
The triangle area is= (base*height)/2, so
A = (6*7)/2
A = 42/2
A = 21
Remember that a trinagle is the area of half square =D
Best regards
Tony rode his bicycle 3 7/10 miles to school. What is this distance written as a decimal?
Answers
Answer:
The distance written as a decimal is 3.7
To write 3 7/10 miles as a decimal, multiply the whole number by the denominator and add the numerator, then write the result over the denominator. Simplify the fraction if possible.
Explanation:To write the distance in decimal form, we need to convert the mixed number to a decimal. The given distance is 3 7/10 miles. To do this, we multiply the whole number, 3, by the denominator, 10, and add the numerator, 7. So, 3 multiplied by 10 plus 7 equals 37. Then, we write 37 over the denominator 10, giving us 37/10. Finally, we can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which in this case is 1. Dividing 37 by 1 gives us 37, and dividing 10 by 1 gives us 10. Therefore, the distance of 3 7/10 miles can be written as the decimal 3.7 miles.
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The basic unit of capacity in SI is the
A)meter.
B)liter.
C)kilogram.
Answers
Answer: a) meter
Step-by-step explanation:
Answer:
meter
Step-by-step explanation:
19y-15y=20 whats the answer to y
Answers
y=5
19y-15y=20
4y=20
Divide by 4 on each side
y=5
I think the answer would be 5
Which show ways to make 2,067?
Answers
2066+1-2000+67
Step-by-step explanation:
The number 2067 in words is represented as Two Thousand and Sixty-Seven. For instance, the cost of a study lamp is Rs. 2067, then you can say, “The cost of a study lamp is Rupees Two Thousand and Sixty-Seven”. 2067 is a cardinal number. It is easy to convert any number into words using a place value chart. Hence, it is essential to use a place value chart to represent numerical names. Here, we will learn how to convert 2067 into words
The set shows the absolute values of a set of rational numbers in increasing order.
{0.4, 1, 2
1
2
, 4, 5.3, 7, 9.8}
Can you determine the order of the rational numbers themselves? Explain why.
A) Yes, it is possible to determine the order of the rational numbers because we know the size of the rational numbers.
B) No, it is not possible to determine the order of the rational numbers because we only know the signs of the rational numbers.
C) No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
D) Yes, it is possible to determine the order of the rational numbers because we know that all of the rational numbers are positive.
Answers
The correct statement regarding whether we can determine the order of the rational numbers:
C) No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
What is the absolute value of a number?The absolute value of a number is the number without the signal, for example:
|-2| = |2| = 2.
In this problem, we are only given the absolute value of the numbers, we do not know the signs of the numbers, hence we cannot order them.
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No, we cannot determine the order of the set of rational numbers because we only know their absolute values, not their signs. The answer is option C.
The question is asking whether we can determine the order of a set of rational numbers given their absolute values. The answer to this is option C: No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers. Knowing only the absolute values does not give us any information about whether the original rational numbers were positive or negative. Absolute value only indicates the magnitude of a number, not its sign, therefore without this information, the original sequence of the rational numbers cannot be determined.
What is the experimental probability that the next customer buys a red notebook 150 pages.
red green blue yellow
100 pg-55 37 26 12
150 pg-60 40 57 27
200 pg-23 19 21 19
Answers
Answer:
5/33
Step-by-step explanation:
The table with proper formatting is attached in the image below.
We have to calculate the experimental probability that the next customer buys a red notebook with 150 pages.
Total number of customers in the experiment = Sum of all the values in the given table = 396
Number of customers who bought red notebook with 150 pages = 60
Experimental probability = [tex]\frac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]
Number of favorable outcomes in the experiment were 60 and the total outcomes in the experiment were 396.
Therefore, the probability that next student buys a red notebook with 150 pages will be 60/396 = 5/33
The experimental probability that the next customer buys a red notebook with 150 pages is approximately 0.326 or about 32.6%, calculated by dividing 60 red 150-page notebooks sold by the total 184 notebooks sold of that size.
The student is asking about the experimental probability that the next customer will buy a red notebook with 150 pages. To determine this probability, one must look at past data to find the frequency with which customers have purchased red notebooks of 150 pages and divide this by the total number of notebook purchases of all colors with 150 pages.
Based on the data provided:
Number of red 150-page notebooks sold: 60Total number of 150-page notebooks sold: 60 (red) + 40 (green) + 57 (blue) + 27 (yellow) = 184The experimental probability is therefore calculated as follows:
P(red 150-page notebook) = Number of red 150-page notebooks sold / Total number of 150-page notebooks sold
P(red 150-page notebook) = 60 / 184
P(red 150-page notebook) = 0.326 or about 32.6%
What all is required when graphing a function? Check all that apply.
Slope
Y-intercept
X-intercept
The equation
Calculator
Axis of symmetry
Vertex
Answers
Answer:
A line: slope, y-intercept from the equation
A quadratic: vertex or axis of symmetry from the equation
Step-by-step explanation:
When graphing a line, you need the y-intercept and slope. This can be found by using the equation.
When graphing a parabola or quadratic, you need the vertex or axis of symmetry. This can also be found from the equation.
which equation can be simplified to find the inverse of y=2x-7 ?
A.
[tex]x = y {}^{2} - \frac{1}{7} [/tex]
B.
[tex] \frac{1}{x} = {y}^{2} - 7[/tex]
C.
[tex]x = {y}^{2} - 7[/tex]
D.
[tex] - x = {y}^{2} - 7[/tex]
Answers
y = 2x - 7
Inverse:
x = 2y - 7
x + 7 = 2y
(x + 7)/2 = y
Answer: y = x/2 + 7/2
Answer with explanation:
The given Linear equation is:
y=2 x -7
→2 x= y +7
[tex]x=\frac{y+7}{2}[/tex]
Replacing , x by ,y and y by x to get inverse of the given function
[tex]y=\frac{x+7}{2}[/tex]
2 y = x +7→→Inverse of the function, y= 2 x -7
→None of the Option Matches with the given options.
An 8-in wide photo has been reduced to a 5-inch wide by 7-inch tall photo. how tall was the original?
Answers
Answer:
Step-by-step explanation:
jajajajajajajajajajajajajaja
11.2
if p = the game system's original price in dollars, which algebraic expression represents the reduced price?
A. 99 + p
B. P - 99
c. 99 - p
d. 99p
Answers
Answer: The answer is B. p-99
Step-by-step explanation: The price goes first and then since it’s reducing you put minus 99 since it’s decreasing the price of the game system. Hope this was helpful y’all have a blessed day
A rectangular patio is 9 yd 2ft long and 5 yd 2ft wide. What is the perimeter of the patio in yards?
A. 54 7/9
B. 15 1/3
C. 164 1/3
D. 30 2/3
Answers
Answer:
D. 30 2/3
Step-by-step explanation:
What you want to do is convert everything for feet, ill explain why later. 1 yard is 3 feet long. SO 9 x 3 = 27. 27 + 2 = 29 feet. The patio is 29 feet long.
5 x 3 = 15. 15 + 2 = 17 feet. So the patio is 29 x 17. To find the perimeter, you want to do: 29 + 29 + 17 + 17 = 92 feet. Convert it back to yards by doing 92/3. That equals 30.6667. In other words, 30 2/3. The answer is D. Hope this helps!
Answer:
D. 30 2/3Step-by-step explanation:
The problem is asking for the perimeter in yards, that means we have to transform feet to yards. Also, remember that the perimeter refers to the sum of all sides.
We know that 1 yard represent 3 feet. So:
[tex]2ft\frac{1yd}{3ft}=\frac{2}{3}yd[/tex]
That is, 2 feet represent 2/3 yards.
Now, we have to sum all sides:
[tex]2(9+\frac{2}{3})+2(5+\frac{2}{3})=18+\frac{4}{3}+10+ \frac{4}{3}=28+\frac{8}{3}=\frac{84+8}{3}=\frac{92}{3}=30\frac{2}{3}[/tex]
Therefore, the right answer is D.
Which statement must be true about the diagram?
Point K is a midpoint of .
mJKN = mJKM
Ray KM is an angle bisector of NKL.
JK = KL
Answers
Answer:
Find out the true statement of the diagram.
To proof
The statement true about the diagram is
Ray KM is an angle bisector of ∠NKL
REASON
KM ia an angle bisector of ∠NKL.
angle bisector is a line which divide the an angle in two equal parts.
As shown in the diagram
KM divided the angle ∠ NKL
and also in the diagram
∠LKM =61°
∠MKN = 61°
that means KM divided ∠NKL in two equal angle
thus
Ray KM is an angle bisector of ∠NKL
Hence proved
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Step-by-step explanation:
Answer:
Ray KM is an angle bisector of NKL.
Step-by-step explanation:
edge 2022