Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What is the volume of the rectangular prism?

A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.

Please answer ASAP! I've been stuck on this problem for hours.

Answers

Answer 1

Answer:

[tex]V=416\ mm^3[/tex]

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

[tex]V=LWH[/tex]

we have

[tex]L=10.4\ mm\\W=5\ mm\\H=8\ mm[/tex]

substitute in the formula

[tex]V=(10.4)(5)(8)=416\ mm^3[/tex]

Answer 2

The volume of the rectangular prism is [tex]416\ mm^3[/tex]

Calculation of the volume of the rectangular prism:

Since A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.

So here the volume is

= (10.4) (5) (8)

= [tex]416\ mm^3[/tex]

Here we multiplied all three things to get the volume

hence, The volume of the rectangular prism is [tex]416\ mm^3[/tex]

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Related Questions

What is the range of the data?

Answers

Answer:

is the difference between highest and lowest values.

Step-by-step explanation:

Which expressions have a value of Negative StartFraction 1 Over 64 EndFraction? Check all that apply.
(Negative one-fourth) cubed
Negative (one-fourth) cubed
(Negative StartFraction 1 Over 8 EndFraction cubed
Negative (StartFraction 1 Over 8 EndFraction) squared
(Negative one-half) Superscript 6
Negative (one-half) Superscript 6

Answers

Correct Options are:

Option A: (Negative one-fourth) cubed

Option B: Negative (one-fourth) cubed

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

Option F: Negative (one-half) Superscript 6

Step-by-step explanation:

We need to check the expressions that have value [tex]-\frac{1}{64}[/tex]

Option A: (Negative one-fourth) cubed

[tex](-\frac{1}{4})^3[/tex]

Solving: [tex](-\frac{1}{4})^3[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option A is correct.

Option B: Negative (one-fourth) cubed

[tex]-(\frac{1}{4})^3[/tex]

Solving: [tex]-(\frac{1}{4})^3[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option B is correct

Option C: (Negative StartFraction 1 Over 8 EndFraction cubed

[tex](-\frac{1}{8})^3[/tex]

Solving: [tex](-\frac{1}{8})^3[/tex]

We get [tex]-\frac{1}{512}[/tex]

So, Option C is not correct.

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

[tex]-(\frac{1}{8})^2[/tex]

Solving: [tex]-(\frac{1}{8})^2[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option D is correct.

Option E: (Negative one-half) Superscript 6

[tex](-\frac{1}{2})^6[/tex]

Solving:[tex](-\frac{1}{2})^6[/tex]

We get: [tex]\frac{1}{64}[/tex]

So, Option E is not correct.

Option F: Negative (one-half) Superscript 6

[tex]-(\frac{1}{2})^6[/tex]

Solving:[tex]-(\frac{1}{2})^6[/tex]

We get: [tex]-\frac{1}{64}[/tex]

So, Option F is correct.

So, correct Options are: Option A, B, D and F

Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature of 64 degrees occurs at 4 PM and the average temperature for the day is 50 degrees. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Answers

Final answer:

The equation for the temperature D as a function of time t in hours is given by D = 50 + 14 sin[2π/24 (t - 16)]. This equation uses a sinusoidal function to describe the fluctuation of temperature around the average of 50 degrees with an amplitude of 14 degrees.

Explanation:

To model the temperature D at a given time, we use a sinusoidal function based on the high and average temperatures. We know the high temperature of 64 degrees occurs at 4 PM (which is 16 hours after midnight), and the average temperature for the day is 50 degrees. This means the amplitude of the function (or the variation above and below the average) is 14 degrees (which is 64-50).

The sinusoidal function can, therefore, be written as follows: D = 50 + 14 sin[2π/24 (t - 16)]. This function describes how, starting from the average temperature of 50 degrees, the temperature fluctuates by 14 degrees in a sinusoidal manner.

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need help with this problem​

Answers

Answer:

¼

Step-by-step explanation:

m1 × m2 = -1

m2 = -1 ÷ -4

m2 = 1/4

Answer:

1/4

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other.

Perpendicular slope = [tex]\frac{-1}{m}[/tex]

The slope (m) of the green line is -4.

To solve the slope of the red line, substituted -4 into the equation:

[tex]\frac{-1}{-4}[/tex]

Solve:

[tex]\frac{-1}{-4}[/tex] which give you [tex]\frac{1}{4}[/tex]

Kwan made a sculpture in the shape of a polyhedron. It only has one base that is a triangle. What three-dimensional figure is her sculpture?

Answers

Answer:

Triangular pyramid

Final answer:

Kwan's sculpture with a triangular base is a pyramid, specifically called a triangular pyramid or tetrahedron in geometry.

Explanation:

If Kwan made a sculpture in the shape of a polyhedron with only one base that is a triangle, her sculpture is a pyramid. In geometry, a pyramid is defined as a polyhedron that has a polygonal base and triangular faces that converge at a single point, called the apex. Given that Kwan's sculpture has a triangular base, her sculpture would specifically be called a triangular pyramid or tetrahedron.

Q: Find the area of the figure shown below and choose the appropriate result.
3 m
2 m
4
m

Answers

There’s no figure shown :/

Which equation can be used to find the volume of this solid?

Answers

Answer:

c

Step-by-step explanation:

The formula of volume for a triangle is V = 0.5 X b X a X h.

Calculate the number in the middle of 2.7 and 9.5

Answers

Answer:

I got 6.1 as the answer!

Step-by-step explanation:

The required number in the middle of the numbers 2.7 and 9.5 is 6.1.

To determine the number in the middle of 2.7 and 9.5.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The middle number is evaluated as the sum of the numbers divided by 2,
= 2.7 + 9.5 / 2
= 12.2/2
= 6.1

Thus, the required number in the middle of the numbers 2.7 and 9.5 is 6.1.

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the radius of a circle is 2 meters. what is the circles circumference

Answers

Answer:

12.56

Step-by-step explanation:

Ashley picked up 15 rocks. 3 igneous, 3 metamorphic, and 9 sedimentary. What is the ratio of sedimentary rocks to the total number of rocks?

Answers

Answer:

9:6 or 3:2

Step-by-step explanation:

Answer:

9:15 or 3:5

Step-by-step explanation:

There are 9 sedimentary rocks, and there are 15 total rocks. So the ratio would be 9:15 OR you could say 3:5 in simplest form.

Hope this helped! :)

of the 300 students in 8th grade, 180 take PE, 80 take art. 72 take music, 33 take PE and art, 28 take PE and music, and 20 take all three
classes
M= all students taking music
A= all students taking art
P= all students taking PE
Which of the sets has more than 150 students? Select all that apply
AUM
POM
PNAM
PUAUM
1- (PNA)

Answers

Answer:

The sets has more than 150 students

P∪A∪M

-(P∩A)

Step-by-step explanation:

See the attached figure which represents Venn diagram for the question:

180 take PE

80 take art

72 take music

33 take PE and art

28 take PE and music

20 take all three

M= all students taking music

A= all students taking art

P= all students taking PE

Number of students taking PE and art only = 33 - 20 = 13

Number of students taking PE and music only = 28 - 20 = 8

Number of students taking PE only = 180 - (20 + 13 + 8) = 139

Number of students taking ARt only = 80 - (20 + 13) = 47

Number of students taking Music only = 72 - (20 + 8) = 44

Number of students doesn't take any thing =

300 - (20 + 13 + 8 + 139 + 47 + 44) = 29

We will check the options to find the sets has more than 150 students:

1)  A∪M = 13 + 47 + 20 + 8 + 44 = 132 < 150

2) P∩M = 20 + 8 = 28 < 150

3) P∩A∩M = 20 < 150

4) P∪A∪M = 20 + 13 + 8 + 139 + 47 + 44 = 271 > 150

5) -(P∩A) = 300 - (13+20) = 267 > 150

So, The sets has more than 150 students

P∪A∪M

-(P∩A)

-2 2/3 as a improper fraction

Answers

-2 2/3 as an improper fraction would be -8/3

Hope this helps :)

Answer:

-8/3

Step-by-step explanation:

-2 2/3

Leave the negative outside

Take the denominator and multiply it by the whole number

3*2 =6

Then add the numerator

6+2 =8

Put that over the denominator

8/3

Bring back the negative that was on the outside

-8/3

Find the measure of Arc QRM

Answers

Answer:

200°

Step-by-step explanation:

The angle subtended at the centre is equal to the measure of the intercepted arc, thus

arc MQ = 85° + 75° = 160°

The measure of the circle is 360°, thus

arc QRM = 360° - 160° = 200°

The answer for this question would be 200°

A hot air balloon descended 2,250 feet in 15 minutes. Find the change in altitude per minute (show the process).
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

In order to find the rate of change in altitude per minute, divide 2250 by 15 , which equals 150 feet per minute.

Answer:

150 per minute

Step-by-step explanation:

Divide 2250 by 15 to find the rate per minute

Consider the system of equations.
y = –2x + 4,
3y + x = –3


Which statement is true of this system of equations?

Both equations are in slope-intercept form.

The first equation converted to slope-intercept form is y + 2x = 4.

The second equation converted to slope-intercept form is .

Neither equation is in slope-intercept form.

Answers

Answer:

The second equation converted to slope-intercept form is y = (-⅓)x - 1

Step-by-step explanation:

y = –2x + 4,

(In the slope intercept form)

3y + x = –3

(Not in the slope intercept form)

3y = -x - 3

y = (-⅓)x - 1

Find the solution(s) to the system of equations. y= x^2 -2x -3 y= x -3

Answers

Answer:

two solutions : (0,-3)  , (3,0)

Step-by-step explanation:

hello :

y= x² -2x -3 ...(*)

y= x -3....(**)

x²-2x-3 = x -3

x²-3x=0

x(x-3) = 0

x=0 or x-3=0

x=0 or x=3

but : y=x-3

1) x=0   y=0-3=-3

2) x=3   y=3-3=0

two solutions : (0,-3)  , (3,0)

Find the Surface area AND Volume of the figure. Round to the nearest hundredths.

Answers

Answer:

SA= 902.88 yd²

V = 1386.24 yd³

Step-by-step explanation:

Surface area

Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.

19² = 15.2² + b²

361 = 231.04 + b²

Subtract 231.04 from both sides

b² = 129.96

Root that

b = 11.4

Now that you have the base, find the areas of the triangles and rectangles.

Triangles - (15.2*11.4)1/2 (2)

15.2*11.4 = 173.28

Rectangles - (15.2)(16) = 243.2

(16)(11.4) = 182.4

(16)(19) = 304

Add them all together and the SA equals 902.88 yd²

Volume

V = Bh

V = 1/2(15.2)(11.4)(16)

V = 1/2 (2772.48)

V = 1386.24 yd³

4. Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How
much change will Mrs. Sloan receive if she gives the cashier $20.00
F. $14.45
G. $12.55
H. $5.55
J. $7.45

Answers

The answer is H: $ 5.55

Explanation: you take $ 4.25, which is one pound, and multiply it by how many pounds is being bought, which would be 3.4 pounds, that gives us $14.45, which is the price of 3.4 pounds. We then take $20.00 and take away $14.45. This leaves us with $5.55 which is our change.

Can someone please help me on 1-4

Answers

Answer:

Step-by-step explanation:

If Maria travels at a rate of speed of 50 mph, How far does she go in an hour?

Answers

Answer:50 miles

Step-by-step explanation:

Answer:

50 miles

Step-by-step explanation:

If she goes 50 mph which is the same as 50 miles in a hour. That means that since she traveled for 1 hour she went 50 miles.


Two lines meet at a point that is also the endpoint of two rays. Set up and solve the
appropriate equations to solve for the values of angles x and y.

Answers

Answer:

Angle x=19°

Angle Y=53°

I might be wrong though.

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.

There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.

Angle X=90-71=19

Angle Y=180-37-71-19=53.


The diameter of a bike wheel is 2 ft. How far will the bike go in one rotation of the wheel?

Answers

Answer:

6.3 feet

Step-by-step explanation:

diameter is 2ft.

so the "r" radius is half of diameter. i.e 1 ft.

therefore, circumference of wheel =2  x pi x r

2 x 3.14 x 1 = 6.3

Answer:

the circumference of a circle = 6.26 feet

Step-by-step explanation:

to evaluate how far the  bike will go in one rotation simply means to find the circumference of the wheel

given that

diameter = 2feet

π = 3.14

recall, that

the formulae for calculating the circumference of a circle = 2πr

note diameter = 2 x radius

radius = diameter / 2

radius = 2/2

radius = 1feet

the circumference of a circle = 2πr

the circumference of a circle = 2 x 3.14 x 1

the circumference of a circle = 6.26 feet

Find the zeroes of the function g(x).
g(x) = (x + 9)(x + 6)

Answers

Answer:

[tex]x = -9, x = -6[/tex]

Step-by-step explanation:

Step 1:  Find the zeroes

(x + 9)

[tex]x + 9 - 9 = 0 - 9[/tex]

[tex]x = -9[/tex]

(x + 6)

[tex]x + 6 - 6 = 0 - 6[/tex]

[tex]x = -6[/tex]

Answer:  [tex]x = -9, x = -6[/tex]

There are 4 red, 6 green, and 5 yellow pencils in a jar. Once a pencil is selected, it is not replaced. Find each probability.

Answers

Final answer:

This question deals with calculating probabilities of selecting specific colors of pencils from a jar without replacement. First, find the probability of each of the events separately, and then find their joint probability if events are happening successively by multiplying the individual probabilities.

Explanation:

The subject of this question is probability, and it belongs to the field of Mathematics. You're asked to calculate the probability of selecting certain colors of pencils from a jar. The jar contains 4 red, 6 green, and 5 yellow pencils, making a total of 15 pencils. When a pencil is selected, it is not replaced back in the jar, affecting the probabilities of the following selections.

As an example, the probability of drawing a red pencil first (P(red)) would be the total number of red pencils divided by the total number of pencils which equals 4/15. If you then wanted to select a green pencil, the total number of pencils is now 14 (broader outcome space) as a pencil has been removed and not replaced. So, the probability of drawing a green pencil after a red one (P(green|red)) would be 6/14.

To find the probability of both events happening consecutively (drawing a red pencil then a green one), you would multiply the two probabilities together i.e., P(red and green) = P(red) · P(green|red). Applying the same steps to other combinations and you will be able to calculate all the different probabilities.

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Pleaseeeee helppppppppp

Answers

Answer:

1)

b= -7

m=1

2)

b= 4

m=0

3)

b=3

m=-2

Step-by-step explanation:

Answer:

1 . m=1  b =7

2.m=0   b = 4

3. m= -2 b = 3

your welcome mark branliest if possible thanks

Ms. Tod has 17 softballs. Her gym class makes 3 teams. Ms. Tod gives the teams
as many softballs as she can, and each team gets the same number of softballs.
How many softballs does Ms. Tod give each team? How many softballs are left?

Answers

Answer:

5 for each team, 2 left over

Each team gets 5 softballs and there are 2 left over because there is no other way to distribute them

What is the slope of the line through
(2,−2)(2,-2)
(2,−2)
left parenthesis, 2, comma, minus, 2, right parenthesis
and
(9,3)(9,3)
(9,3)
left parenthesis, 9, comma, 3, right parenthesis
?

Answers

Answer:

Slope is 5/7

Step-by-step explanation:

the slope of a line is given by;

m = (y-y1)/(x-x2)

Where;

y represents the coordinate of point 1 on the Y-axis

x represents the coordinate of point 1 on the X-axis

y1 represents the coordinate of point 2 on the Y-axis

x1 represents the coordinate of point 2 on the X-axis

Points on a line are written as the ordered pair (x, y)

We are given point 1 (2, -2) and it corresponds to (x, y)

Point 2 (9, 3) and it corresponds to (x1, y1)

Therefore the slope,

m = (-2-3)/(2-9)

m = -5/-7

m = 5/7

Therefore, the slope of the line through (2,−2) and (9, 3) is 5/7

Martin took out an 80/20 mortgage to buy a house costing $145,000. The
first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What is his total
mortgage payment for this house?

A) $203.27
B) $730.31
C) $808.38
D) $605.11

Answers

Answer:

808.38

Step-by-step explanation:

:)

Please help me out with this homework question

Answers

The answer is 81


Hope that helped!!!

Tickets to a local movie theater were sold at $6.00 for adults and $4.50 for students. There were 240 tickets sold for a total of $1155.00. Solve by elimination to find the number of adult tickets sold and the number of student tickets sold

Answers

Final answer:

To solve for the number of adult and student tickets sold, the system of equations was created from the given information and solved using the elimination method. The movie theater sold 50 adult tickets and 190 student tickets.

Explanation:

We have two equations based on the information provided about adult and student tickets sold at Family Flicks:

Adult tickets (A) at $6.00 each plus student tickets (S) at $4.50 each, total $1155.00.
6A + 4.5S = 1155The total number of tickets sold, combining adults and students, is 240.
A + S = 240

Let's use elimination to solve this system of equations. To do this, we must eliminate one variable. We can multiply the second equation by -4.5 to align the student ticket coefficient with the first equation:

-4.5A - 4.5S = -1080

We then add this equation to the first equation:

6A + 4.5S = 1155-4.5A - 4.5S = -1080(6A - 4.5A) + (4.5S - 4.5S) = 1155 - 10801.5A = 75A = 75 / 1.5A = 50

Now that we know there are 50 adult tickets sold, we can find the number of student tickets sold by substituting A into the second original equation:

A + S = 24050 + S = 240S = 240 - 50S = 190

The theater sold 50 adult tickets and 190 student tickets.

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