Find the volume of the top of the prism, volume of the bottom prism, and total volume of figure.

Find The Volume Of The Top Of The Prism, Volume Of The Bottom Prism, And Total Volume Of Figure.

Answers

Answer 1

Volume of the top of the prism: 460 cm^3

Volume of the bottom of the prism: 1 768 cm^3

Total volume of the figure: 2 228 cm^3

Explanation:

Volume of the top of the prism:

. Since it is a prism from trapezoid

. . Volume = Area of the trapezium base * heights between trapezium ends

\(\begin{gathered} Area\text{ of a trapezium base}=\frac{top\text{ base+bottom base}}{2}*height \\ ...\text{ =}\frac{6+17}{2}*(22-17) \\ ...=\frac{23}{2}*5 \\ Area\text{ = 57.5 cm}^2 \end{gathered}\)\(Volume=57.5*8=460\text{ }cm^3\)

Volume of the bottom prism:

. Since the price has a rectangular base:

Volume = Area of one base * height between reactangular bases

Area of one base :

\(17*13=221\text{ }cm^2\)

Volume:

\(221*8=1\text{ }768\text{ }cm^3\)

Total volume of the figure:

Volume of the top + Volume of the bottom = Total volume

\(221+1\text{ }768=2\text{ }228\text{ }cm^3\)

NB:

To find any volume of a given prism, start with finding the area of one base, then multiply that area by the height (in other words the sides that link the two bases)


Related Questions

given a binary-class classification problem in which the class labels are binary, the dimension of feature is d, and each attribute can take k different values. please provide the numbers of parameters to be estimated with and without the simplifying assumption. please explain your answer. briefly justify why the simplifying assumption is necessary.

Answers

For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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This morning, Kendall drank a cup of coffee that had 95 milligrams of caffeine in it. She didn't have any more caffeine for the rest of the day. Kendall read online that the amount of caffeine in her body will decrease by approximately 13% each hour. Write an exponential equation in the form y=a(b)x that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = ____. To the nearest milligram, how much caffeine will be in Kendall's body after 12 hours?

Answers

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

What is an exponential function?

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

a represents the initial value or y-intercept.x represents time.b represents the rate of change.

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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HELP NOW PLZ U GET POINTS!!!

HELP NOW PLZ U GET POINTS!!!

Answers

Answer:

3

is the answer

Answer:

3

Step-by-step explanation:

how much is -(3)(3)=

Answers

Answer:

-9

Step-by-step explanation:

Since the threes are in parenthesis, you multiply them first then apply the negative sign.

I hope this helps!

Answer:

-9

Step-by-step explanation:

Multiplying 3 by -3 will get you -9. You know it's negative because only one number is negative and 3*3=9.

Which of the following is a one-to-one function? 5x-1; X

Which of the following is a one-to-one function? 5x-1; X

Answers

Given:

One -one function

\(y=\lbrack x\rbrack\)

Option D is one-one function.

100 points

The options in the drop downs are: the margin of error will decrease / the margin of error will increase

Answers

Answer:

Bro but what is the question

Answer:

ok but where is the QUESTION???

Step-by-step explanation:

HELP PLEASE THANK YOU SO MUCH

HELP PLEASE THANK YOU SO MUCH

Answers

Answer:

mark as brainliest...pleasee

HELP PLEASE THANK YOU SO MUCH

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solution

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solution

Answers

Answer:

x = 18

y = 54

Step-by-step explanation:

90 - 72 = 18

18 + 2x = 3x

18 = x

2(18) = 36

3(18) = 54

72 + y + 54 = 180

126 + y = 180

y = 54

Answer:

54

Step-by-step explanation:

A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?

Answers

77 feet^2

Explanation:

Area of the wall is

8 2/5 × 18 1/3

42/5 × 55/3

14/5 × 55/1

14/1 × 11/1 = 154 feet^2

The area we want is half of this

77 feet^2

Hope this helps and answer you question

In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B

Answers

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).

Answers

The equation of the tangent line at (1,1) is given as follows:

y - 1 = -0.25(x - 1).

How to obtain the equation of the tangent line?

The curve for this problem is given as follows:

x² - y² = 2x + y + xy - 4.

Applying implicit differentiation, we obtain the slope of the tangent line, as follows:

2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y

(dy/dx)(1 + x + 2y) = 2x - 2 - y

m = (2x - 2 - y)/(1 + x + 2y).

At x = 1 and y = 1, the slope is given as follows:

m = (2 - 2 - 1)/(1 + 1 + 2)

m = -0.25.

Hence the point-slope equation is given as follows:

y - 1 = -0.25(x - 1).

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GIVING BRAINLIST ASAP

Find the sales price:

$45.50 book, 30% discount

Round your answer to the nearest cent (hundredths place)

Answers

Answer:

$32.00

Step-by-step explanation:

$45.50 x 30%=

45.50 x 0.30= 14

$45.50-$14.00= $32.00

Answer:

31.85

Step-by-step explanation:

45.50 is your original price, 30 percent in decimal form is 13.65, so 45.50 minus 13.65 equals 31.85

if A varies direct as a square of R. Find the % increase in A if R is increase by 20%.​

Answers

Answer:

20%

Step-by-step explanation:

A=R^2

120/100

=1.2

1.2R= new value of R

original of R=R

A^1/2=R

change/origionalx100%

(1.2A^1/2-A^1/2)

-------------------- x 100%

A^1/2

A^1/2 (1.2-1)

--------------- x100%

A^1/2

0.2

---- x100

1

0.2x100

=20%

Ms. Sanders invested in a stock. During the first year, the value of the stock tripled. The next year, the value of the stock decreased by $600. Write an expression that can be used to represent the value of her stock at the end of the second year. Be sure to indicate what the variable in your expression represents. (please help I am lost)

Answers

Answer:

Value in $= 3x -600

Step-by-step explanation:

Let the value of the stock before investment= x

At the first year , the value tripled

Value after first year=3x

The second year , the stock reduces by $600.

So

The value of the stock after the second year

Value in $= 3x -600

ONe morning, Mack, Jack and Hack left home with each one wearing a hat and a scarf belonging to one of the others. Jack was wearing Mack's hat and Hack's scarf. Whose hat and scarf were Mack and Hack wearing?

Answers

Answer:

mack and hack was wearing jacks hat

Step-by-step explanation:

Find the area of the shaded region. Please show all work. Don't forget your units. ​

 Find the area of the shaded region. Please show all work. Don't forget your units.

Answers

Answer:

The answer is 234ft

Step-by-step explanation:

first, do 8x1.57 which is 12.56. so you have 12.56ft to cut off from the triangle, then gather 26x18 which is 468 then do 468/2 which is 234ft

Solve:27 = (one-third) Superscript StartFraction x Over 2 EndFraction

Answers

Answer:

a. -6

Step-by-step explanation:

Convert the angle 1.5 radians to degrees, rounding to the nearest 10th.

Answers

Answer:

85.9 (to the nearest hundredth)

Step-by-step explanation:

1 radian = 180°/\(\pi\)

Therefore, 1.5 radians = 1.5 x (180°/\(\pi\)) = 270/\(\pi\) = 85.9 (to the nearest hundredth)

Answer:

85.9

Step-by-step explanation:

1.5rad × 180/π = 85.9°

Thank You!

-1000 2/3 is not real fraction. True or false

Answers

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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What is the quotient of 7.536\times 10^77.536×10
7
and 7.85 \times 10^27.85×10
2
expressed in scientific notation?

Answers

The value of Quotient from the given terms is 9.6* 10^8

According to the statement

we have given that the two terms and we have to find the quotient of the these terms.

So, we know that the

Quotient is a the number resulting from the division of one number by another.

And for find the quotient we have to divide the terms with each other.

So, The given terms are \(7.536*10^7\)and \(7.85*10^2\)

divide both terms with each other.

Quotient = \(\frac{7.536*10^7}{7.85*10^2}\)

Then

The value of quotient becomes

Quotient = \(0.96 * 10^9\)

After removing the decimal from the answer it will become

Quotient = \(9.6* 10^8\).

So, The value of Quotient from the given terms is 9.6* 10^8

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Answer: its 7.85x10^-9

Step-by-step explanation:

express 2 cos 35 sin 67 as a sum​

Answers

2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.

Specifically, the identity states that 2 cos A sin B can be written as

sin(A + B) + sin(A - B).

Applying this identity, we have:

2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)

Simplifying the expressions inside the sine functions:

sin(102) + sin(-32)

Since the sine function is an odd function,

sin(-x) = -sin(x),

so we can rewrite the equation as:

sin(102) - sin(32)

Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

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A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)

Answers

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

i need help hurry pls

i need help hurry pls

Answers

Answer:

you got this Playa I believe in you

Answer:   the first one 8.2   the second one  49.2

Step-by-step explanation:

what is 7/8 - 1/2 as a fraction

Answers

Answer: 3/8

Step-by-step explanation:

1/2 is also 4/8 so you subtract 4/8 from 7/8 to get 3/8

what is 23d=109
Please answer

Answers

Answer:

d=4.73913043 or d=4.74 rounded

Step-by-step explanation:

What is the answer to number 4

What is the answer to number 4

Answers

Answer:

5

Step-by-step explanation:

3×9×X=135

27×X=135 divide 27 from both sides

missing side is 5

Match the following graph with the name of the graph​

Match the following graph with the name of the graph

Answers

Absolute value: C

Quadratic: D

Constant: A

Square root: E

Linear: B

There are the equations for the graphs on the bottom:

y=2 is constant because the y value never changes

y=x is linear because the y value changes at a constant rate

y= |x| is absolute value because |x| is the absolute value of x

y=x^2 is quadratic because quadratic functions have a degree of 2

y=sqrt(x) is a square root because y= square root of x

At the craft store, Rudy bought a bag of green and red marbles. The bag contained 60 marbles, and 60% of them green. How many green marbles did Rudy receive?​

Answers

Answer:

36 green marbles

Step-by-step explanation:

If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:

Green marbles = 60% x 60 marbles

To simplify this calculation, we can convert 60% to a decimal by dividing by 100:

Green marbles = 0.60 x 60 marbles

Green marbles = 36 marbles

Therefore, Rudy received 36 green marbles.

Answer: 36

Step-by-step explanation:

60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36

Order the following numbers from least to greatest. Put the lowest number on the left. 50 25 0 -75​

Answers

Answer:

-75 0 25 50

Step-by-step explanation:

the order it needs to be in is -75,0,25,50

I posted 2 question of this but nobody answered first answer gets brainliest and a thanks and 5 stars and 20 points and do all of them or half no links ASAP guessers will be reported

I posted 2 question of this but nobody answered first answer gets brainliest and a thanks and 5 stars

Answers

Answer:

14. 13.65

15. 7.53

17. 0.0371

18. 0.81

19. 0.864

Here are some answers! Hope this helps

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