Each cube has a volume of 1 cm³, and the rectangular prism contains 320 cubes, so the volume of the rectangular prism is 320 cm³.
What is volume?Volume is a physical quantity that measures the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters (m³) or cubic centimeters (cm³).
Here,
Length side = 4 cubes
= 5 cm
Width side = 2 cubes
= 2 cm
Height side = 2 cubes
= 2 cm
The length of the rectangular prism is 4 cubes which are equal to 5 cm each, so the length is 4 x 5 cm = 20 cm. The width of the rectangular prism is 2 cubes which are equal to 2 cm each, so the width is 2 x 2 cm = 4 cm. The height of the rectangular prism is 2 cubes which are equal to 2 cm each, so the height is 2 x 2 cm = 4 cm.
To find the volume of the rectangular prism, we multiply the length by the width by the height:
Volume = length x width x height
Volume = 20 cm x 4 cm x 4 cm
Volume = 320 cubic cm
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Complete question:
Each cube in this rectangular prism is 1 cm³. What is the volume of the rectangular prism?
Carole surveyed the class for a math project. Below are the results of her survey. What type of graph is best for Carole to display her data? A. bar graph B. line graph C. histogram D. circle graph
Answer:
A
Step-by-step explanation:
it is a bar graph because it involves class interval
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
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How many different words consisting of four different letters a,b,c,d,e,p that do not start with the letter p and do not end with the letter b and include the letters c,e
Solve the systems of equations shown below.
2x- 6y = -12
X + 2y = 14
Use the following chart of years and price for an unstated item to answer the following questions.
1970 1975 1980 1985 1990 1995 2000
$87.32 $119.99 $206.79 $264.16 $283.16 $351.94 $349.69
What was the relative change from 1995 to 2000? (Enter your answer as a percentage rounded to the nearest hundredths.)
The relative change from 1995 to 2000 is -63.92%, indicating a decrease in price of approximately 63.92%.
How to calculate the relative change?To calculate the relative change from 1995 to 2000, we need to find the difference between the prices in those two years, and then express that difference as a percentage of the price in 1995.
Price in 1995 = $351.94
Price in 2000 = $349.69
Difference = Price in 2000 - Price in 1995
Difference = $349.69 - $351.94
Difference = -$2.25
The negative sign indicates a decrease in price from 1995 to 2000.
Now, we can calculate the relative change as a percentage:
Relative change = (Difference / Price in 1995) * 100
Relative change = (-$2.25 / $351.94) * 100
Relative change = -0.6392 * 100
Relative change = -63.92%
Therefore, the relative change from 1995 to 2000 is -63.92%, indicating a decrease in price of approximately 63.92%.
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Write 2:7 in the form 1: n
Answer:
7 ÷ 2 = 3.5, so 2:7 = 1:3.5 (1 to 3.5).
Answer:
1 : 3.5
Step-by-step explanation:
2: 7 written in the ratio 1 : n...
2:7
1:n
To get to 1 from 2 you have to divide by 2.
So do the same for 7.
Therefore the answer is 1: 3.5
15 POINTS!!!! PLEASE, I'M BEGGING. 15 POINTS!!!!
Which investment choice has the potential for the greatest rate of return?
Corporate bonds
Government bonds
Common stocks
Preferred stocks
Answer:
mark me as brainliest
Step-by-step explanation:
common stocks
Match the appropriate list with the definition
a. reflexive, symmetric, and transitive only
b. congruence and midpoint.
A segment proof is a type of proof that shows the steps used to establish the congruence or equality of two line segments. The goal of a segment proof is to provide a clear and logical argument that demonstrates why the two segments are equal or congruent.
Segment proofs typically involve using a combination of definitions, postulates, and theorems to justify each step of the argument. For example, to prove that two line segments are congruent, one might use the segment addition postulate, the definition of congruence, and the reflexive, symmetric, and transitive properties of congruence.
The appropriate matching is:
1. Segment proofs include the following definitions as justifications/reasons: ⇔ reflexive, symmetric, and transitive only
2. Segment proofs include the following as congruence of segments: ⇔ congruence and midpoint.
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Richard is saving money for a down payment on a car. He opens a savings account at his local bank and deposits $500. He models his savings plan with the equation y = 200x + 500 based on his current monthly savings rate.
Here the correct statements can be
The y-intercept represents D) the starting amount in his savings account.
The slope represents C) the change in the dependent variable with respect to the independent variable.
What is meant by y-intercept?
The y-intercept is the point where a line intersects the y-axis on a graph. It represents the value of the dependent variable when the independent variable is zero.
What is meant by the term slope?
The slope is a measure of the steepness of a line on a graph. It is calculated by dividing the change in the y-coordinate by the change in the x-coordinate between two points on the line.
According to the information
The y-intercept of the linear model y = 200x + 500 represents the starting amount in Richard's savings account.
The slope of the linear model y = 200x + 500 represents the change in the dependent variable (y, the savings amount) with respect to the independent variable (x, the number of months). Specifically, the slope of 200 means that for every additional month, Richard's savings will increase by $200.
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The solid below is dilated by a scale factor of . Find the surface area of the solid
created upon dilation.
The surface area of the solid created upon dilation is equal to 36 units².
How to calculate surface area of a cylinder?In Mathematics and Geometry, the surface area (SA) of a cylinder can be calculated by using this mathematical equation (formula):
SA = 2πrh + 2πr²
Where:
h represents the height.r represents the radius.By substituting the given parameters into the formula for the surface area (SA) of a cylinder, we have the following;
Surface area = 2πrh + 2πr²
Surface area = 2(π)(9)(9) + 2(π)(9²)
Surface area = 324π units²
After applying a dilation with a scale factor of 1/3, the surface area of the cylinder is given by;
Surface area = 324π × (1/3)²
Surface area = 324π × 1/9
Surface area = 36 units²
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I need help with this please
The line plot representing the values on the number line can be presented as follows;
[tex]{}[/tex] ×
[tex]{}[/tex] × ×
[tex]{}[/tex] × × × ×
<-|------|------|------|------|------|------|------|------|->
[tex]{}[/tex]0 1/8 1/4 1/2 5/8 3/4 1
What is line plot?A line plot is a graph displaying data as points above a number, which indicates the frequency of the data.
The values in the fraction can be expressed as follows;
5/8, 5/8, 1/4, 1/8, 1/8, 3/4, 1/8
The values that are repeated can be excluded to get;
Values to be represented are; 5/8, 1/4, 1/8, 3/4
The above fractions can be expressed as fractions with a denominator of 8 as follows;
5/8, 1/4, 1/8, 3/4 = 5/8, 2/8, 1/8, 6/8
The fractions can be arranged in increasing order as follows;
5/8, 2/8, 1/8, 6/8; 1/8, 2/8, 5/8, 6/8
The fractions 1/8, 2/8, 5/8, 6/8, can therefore, be entered into the number line as follows;
<-|------|------|------|------|------|------|------|------|->
0[tex]{}[/tex] 1/8 2/8 1/2 5/8 6/8 1
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Kevin answered 62 questions correctly on his multiple choice history final and earned a grade of 31%. How many total questions were on the final exam?
Answer:
200
Step-by-step explanation:
Turn the 31% back to a decimal = 0.31
62/ x = 0.31
multiply each side of the equation by x to cancel it out from under the fraction
62 = 0.31x
divide each side by 0.31 to have to x alone
200 = x
Check work:
62/200 = 0.31 x 100 = 31%
7(-6)+7(-1/8) answer
Answer:
[tex]\displaystyle -42 \;\frac{7}{8}[/tex]
Step-by-step explanation:
We will simplify this expression.
Given:
7(-6)+7(-1/8)
Multiply:
[tex]\displaystyle -42- \frac{7}{8}[/tex]
Subtract:
[tex]\displaystyle -42 \;\frac{7}{8}[/tex]
What is the greatest common factor of the polynomial below?
12x²9x
OA. 4x
OB. 3x
OC. 4x²
OD. 3x²
The greatest common factor (GCF) of the polynomial 12x²9x is 3x, therefore option B is correct.
How to Find the Greatest Common Factor of a Polynomial?The Greatest Common Factor (GCF) of a polynomial is the largest factor that all of the terms in the polynomial have in common.
To find the GCF, we need to find the largest factor that both terms have in common. Both terms have a factor of 3x, so that is the greatest common factor. Factoring out 3x from each term gives:
12x²9x = 3x(4x)3(3x) = 3x(4x3)
So the GCF of 12x²9x is 3x.
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Find the surface area of the rectangular prism.
Answer:
40
Step-by-step explanation:
Hope this helps! =D
Brainliest! =D
Match the equation or expression to the number of terms, the coefficients and the constants.
Equation: [tex]6xt^4yz^3 + 10a = 1[/tex]. Number of terms: 2, Coefficients: 6, 10 and Constants: 1.
Equation: [tex]25abc^2ab + 3ac6bc + 25[/tex], Number of terms: 3. Coefficients: 25, 3, 6. Constants: 25
What is equation and an expression?
A random combination of integers, variables, functions, etc. can be described as an expression. An expression is, for instance, 3x - 2. An equation, on the other hand, is created when two independent expressions are joined by the equal to sign. An equation, for instance, is when 3x - 2 = 5 + x.
Equation/Expression: 6xt⁴yz³ + 10a = 1
Number of terms: 2
Coefficients: 6, 10
Constants: 1
Equation/Expression: 25abc²ab + 3ac6bc + 25
Number of terms: 3
Coefficients: 25, 3, 6
Constants: 25
Equation/Expression: 25y³xy + 5 = 100
Number of terms: 2
Coefficients: 25, 1
Constants: 5, 100
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What is the area of this quadrilateral?
4 cm
4 cm
3 cm
A. 20 square centimeters
B. 28 square centimeters
C. 22 square centimeters
D. 14 square centimeters
Answer:
28
Step-by-step explanation:
you first do the 4x4=16 then 4x3=12 then do 16+12=28
which diagram represents the expression |-5|
Please hurry due today I will give you brainlest if correct
what are the steps for using a compass and straightedge to construct a line through point A that is parallel to line j? Drag the steps and drop them in order from start to finish.
1. place the point of the compass on point Q and open it to width QR
2. use the straightedge to draw AB-->.
3. Use the straightedge to draw a line k that passes through A and intersects line j. label the point A and draw an arc that intersects line k. Label the intersection as point S.
4. With the compass opening set to width QR, place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Lab the intersection of the arcs as point B. 5. Place the point of the compass on the point P and draw an arc that intersects lines j and k. label the intersections as points Q and R
Answer:
1. Place the point of the compass on point Q and open it to width QR.
2.Place the point of the compass on the point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R.
3.Use the straightedge to draw a line k that passes through A and intersects line j. Label the point A and draw an arc that intersects line k. Label the intersection as point S.
4. With the compass opening set to width QR, place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B.
5. Use the straightedge to draw AB -->.
Step-by-step explanation:
how to find the area for a rectangle?
Answer:
Area of a rectangle = Length x Width
Step-by-step explanation:
Length = 25 cm
Width = 8 cm
25 x 8 = 200
So the area of a rectangle = 60 cm^2
what is 5.25 in fraction form?
Answer:
To convert 5.25 to a fraction, we can first note that the decimal represents the number 5 units and 25 hundredths. We can write this as:
5.25 = 5 + 0.25
Next, we can convert the decimal 0.25 to a fraction by recognizing that it is equivalent to 25/100 or 1/4. Therefore:
5.25 = 5 + 1/4
We can then combine the whole number 5 with the fraction 1/4 by finding a common denominator:
5 + 1/4 = 20/4 + 1/4 = 21/4
Therefore, 5.25 as a fraction in simplest form is 21/4.
Answer:
i believe it should be
5 1/4
i apologize if wrong, it depends on the ratio (you didnt include it)
If the width of a rectangle with perimeter P is 6 units, what is its length?
If the width of a rectangle with perimeter P is 6 units, its length would be equal to L = P/2 - 6.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + 6)
P = 2L + 12
P - 12 = 2L
L = (P - 12)/2
L = P/2 - 6.
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or
Last night, Clara and her brother, Stefan, made personal pizzas for dinner. Clara put 4 pepperoni pieces and 6 ham pieces on her pizza. Stefan put 6 pepperoni pieces and 10 ham pieces on his pizza. Did Clara's and Stefan's pizzas have the same ratio of pepperoni pieces to ham pieces?
Clara's and Stefan's pizzas did not have the same ratio of pepperoni pieces to ham pieces.
How to calculate the ratios of two different pizza?For Clara,
The number of pepperoni pieces = 4
The number of ham pieces = 6
The ratio = 4:6 = 2:3
For Stefan,
The number of pepperoni piece = 6
The number of ham piece = 10
The ratio = 6:10 = 3:5
Therefore the ratio of Clara's and Stefan's pizzas is not the same.
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The 8th grade math team is having a bake sale as a fundraiser. Alan can make 5 cookies in 2 minutes. Abigail can make 8 cookies in 3 minutes. However, Katie eats 1 cookie every 6 minutes. How many minutes will it take to make 5 dozen cookies.
Answer: B. 12
Step-by-step explanation:
1) Alan can make 2.5 cookies per min
2) Abi can make 8/3 which is 2.7.
3) overall, 5.2 cookies per minute can be made.
multiple 5.2 x 6 and you get around 31.5?
then subtract =1. you have 30.5, now add onto that number 31.5, which is another 6 minutes. since you're still only subtracting 1, the answer would be above 60, which is 5 dozen, and it only took 12 mins
Mrs. lang has x amount of students in each class. Ms. easter has 4 less students in each class. If both teachers have 5 classes, write an expression that
shows how many students are in all of Ms. easter’s classes.
If Mrs. Lang has x students in each of her 5 classes, then she has a total of 5x students.
Ms. Easter has 4 less students in each of her classes, so she has x - 4 students in each of her 5 classes.
How many students are in all of Ms. Easter's classes?To find out how many students are in all of Ms. Easter's classes, we can use the expression:
5(x - 4)
This simplifies to:
5x - 20
Therefore, there are 5x - 20 students in all of Ms. Easter's classes.
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The segmented bar graph shows the relative frequencies regarding your arrival time to school using three different routes. How many times more likely are you to be on time than be late to school if you take Route C?
Therefore, you are three times more likely to be on time than be late if you take Route C to school.
What is relative frequency?Relative frequency is a statistical term that refers to the proportion or percentage of times an event or a particular value occurs within a larger set of data. It is calculated by dividing the number of times the event or value occurs by the total number of observations in the data set.
Here,
To determine how many times more likely you are to be on time than late if you take Route C, we need to compare the heights of the green and red bars for Route C. From the graph, we can see that the green bar (representing on-time arrivals) is approximately three times taller than the red bar (representing late arrivals) for Route C.
To calculate how many times more likely you are to be on time than late if you take Route C, we need to find the ratio of the heights of the green and red bars:
Ratio = height of green bar / height of red bar
Looking at the segmented bar graph, we can see that the height of the green bar for Route C is approximately 0.45, and the height of the red bar is approximately 0.15.
Ratio = 0.45 / 0.15
= 3
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4(x-1)-2x<6-5(x+2) so love and graph the inequality
The vertical line at x=0 represents the boundary of the inequality, and the shaded region to the left of the line represents the solution set of the inequality, x < 0.
Explain the term inequality
Inequality refers to the unequal distribution of resources, opportunities, and rewards among individuals or groups within a society. It can be based on factors such as race, gender, income, education, and social status, leading to disparities in outcomes and experiences.
According to the given information
Start by simplifying the inequality using the distributive property and combining like terms:
4(x-1) - 2x < 6 - 5(x+2)
4x - 4 - 2x < 6 - 5x - 10
2x - 4 < -5x - 4
2x + 5x < 4 - 4
7x < 0
x < 0
So the solution to the inequality is x < 0.
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The coordinates of the three vertices of a square are (4,14) (10,14) and (4,8). What are the coordinates of the missing vertex
Given that the coordinates of the three vertices of a square are (4, 14), (10, 14), and (4,8).
The missing coordinate will be at (10,8) on the coordinate plane for the given square.
VERTEX: WHAT IS IT?A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.
Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).
The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.
We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.
We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.
The missing vertex therefore has the coordinates (10,8).
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The missing coordinate will be at (10,8) on the coordinate plane for the given square.
VERTEX: WHAT IS IT?A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.
Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).
The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.
We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.
We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.
The missing vertex therefore has the coordinates (10,8).
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Question # 6 Multiple Choice Which of the following minerals is made of more than one element? Responses copper silver gold hornblende
Out of the following minerals hornblende is made up of more than one element. Therefore, option D is the correct answer.
What are minerals?Solid, naturally occurring materials known as minerals have a particular chemical makeup and crystal structure. They can be discovered in rocks, soil, and water and are primarily created by geological processes. Minerals are crucial for our bodies' nutritional needs as well as for the construction of structures and the manufacture of electronics, among other facets of our daily life.
Hornblende is a mineral made up of multiple elements, including calcium, magnesium, iron, aluminum, silicon, and sometimes sodium and potassium. The other minerals listed, copper, silver, and gold, are each made up of a single element.
Therefore, the correct option is d. Hornblende
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Question in attachment...................
Answer:
12.5ft tall.
Step-by-step explanation:
The volume of a rectangular box is V = L x W x H
We are given volume, length, and width, allowing us to solve for height.
3000 ft^3 = 96 ft x 2.5 ft x H ft
Divide both sides by 96 x 2.5 to isolate H
3000 / (96 x 2.5) = H
H = 12.5 ft.
Answer:
12.5 feetStep-by-step explanation:
It's given that One of the first electronic computer was in the shape of a huge box. It was 96 m long and 2.5 m wide.
Length of the box = 96 feet
Breadth of the box = 2.5 feet
Also The amount of space inside was approximately 3,000 cubic feet i.e volume of the box is 3000 ft³.
We know that volume of cuboid is calculated by,
Volume = l × b × h96 × 2.5 × h = 3000
240 × h = 3000
h = 3000/240
h = 12.5 feet
Therefore, Height of the computer is 12.5 feet