Find the area of the composite area

The correct option for this question is D. 128 cm³

How to solve and what is a Rectangular Prism?

The figure described in the question is a rectangular prism with dimensions of 4 cm by 4 cm by 8 cm. To find the volume of the figure, we simply multiply these three dimensions together:

Volume = length x width x height = 4 cm x 4 cm x 8 cm = 128 cubic centimeters

Therefore, the answer is D. 128 cm³.

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional shape that has six rectangular faces. A rectangular prism is formed by taking a rectangle and extruding it perpendicular to its plane.

It has three pairs of parallel faces, with opposite faces being congruent and parallel to each other. The length, width, and height of a rectangular prism are its three dimensions, and they are all perpendicular to each other. The volume of a rectangular prism can be found by multiplying its length, width, and height together.

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The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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Answer:

\(\sf 9y^3(3-y)\)

Step by step explanation:

\(\sf 27y^3-9y^4\)

Factor out common term 9 :

\(\sf \implies 9(3y^3-y^4)\)

Apply exponent rule \(\sf a^{bc}=a^{b+c}=a^ba^c\) :

\(\sf \implies 9(3y^3-y^{1+3})\)

\(\sf \implies 9(3y^3-y^1y^3)\)

Factor out common term \(\sf y^3\):

\(\sf \implies 9y^3(3-y^1)\)

Apply exponent rule \(\sf a^1=a\) :

\(\sf \implies 9y^3(3-y)\)

Answer:

Answer = 52

5+47= 52

done

We will see that we have a shift of 9 units to the left and 6 units upwards

For any given function H(x), we define a vertical shift of N units as:

g(x) = H(x) + N.

While a horizontal shift is written as:

g(x) = H(x + N).

Here we know that:

f(x) = 3*|x + 9| + 6

If the original function was:

H(x) = 3*|x|

Then we can write:

f(x) = H(x + 9) + 6

So we have a shift of 9 units to the left and 6 units upwards.

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Answer: 134.0

Step-by-step explanation: Formula for volume of a cone: pi*r^2 h /3

Plug in the height, h, radius, r, and pi, 3.14:

(3.14) * (4^2) * (8/3)

V = 134.0 inches cubed

Hope this helped.

a. The approximate value of the y-intercept is

b. The approximate value of the slope is

c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (100 - 60)/(45 - 5)

Slope (m) = 40/40

Slope (m) = 1

At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 60 = 1(x - 5)  

y = x - 5 + 65

y = x + 60

Part a.

Based on the equation above, the y-intercept is equal to 60.

Part b.

Based on the equation above, the slope is equal to 1.

Part c.

In this scenario, the expected number of cones of ice cream when the temperature is 30°C;

y = x + 60

y = 30 + 60

y = 90°C.

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Answer:

The p-value will be "0.0549".

Step-by-step explanation:

The given values are:

Time, t = 15 minutes

Df, σ = 25-1 = 24

Now,

⇒  \(H_{0}:\sigma^2\leq 150\)

and,

⇒  \(H_{1}:\sigma^2>150\)

As we know,

Chi square = \(\frac{(n-1)s^2}{(\sigma^2)}\)

On putting the values in the above formula, we get

⇒                = \(\frac{24\times 15^2}{150}\)

⇒                = \(\frac{24\times 225}{150}\)

⇒                = \(36\)

Therefore, p-value = 0.0549

The p-value determined > 0.05, the null hypothesis also isn't dismissed at point 0.05.

Answer:

Step-by-step explanation:

5

Answer:

20% of 250 is 50

I hate my grandma I hope she goes to hell but lucky for her she is Christian.

Answer:

25,200

Step-by-step explanation:

Increase in population per year =8%=((100+8)*10,000)/100=10,800. So,there will be an increment of 800 people to the population every year. =>after twenty years,the total population=10,000+19*(800)=25,200.

Answer:

10800

Step-by-step explanation:

10000+8%=10800

hope this helps:)

Answer:

    \(\textsf{Choice A } \quad y = \dfrac{5}{3}x + 1\)

Step-by-step explanation:

Slope intercept form of a line equation is

y = mx + b

where

m = slope

b = y-intercept

A perpendicular line to y = mx + b will have a slope of -1/m

Let's first find the equation for line z in slope-intercept form
Slope m for a line  = (y2- y1)/(x2 - x1) where x1, y1 and x2, y2 are two points on the line

Slope of line z is
\(m = \dfrac { 2 - (-1) }{-2 - 3} = \dfrac{3}{-5} = - \dfrac{3}{5}\)

So line z will have an equation of the form
\(y = -\dfrac{3}{5}x + b\)

We know that a line perpendicular to this line will have a slope of
\(- \dfrac{1}{-\dfrac{3}{5}} = \dfrac{5}{3}\)

So the equation of the perpendicular line is
\(y = \dfrac{5}{3}x + b\)

Only one of the 4 choices, name choice A has this slope of 5/3

Therefore the correct answer choice is A

There is no need to compute b, the y intercept but if you wanted to, this is how you would do it:

The perpendicular line passes through (3, 6). This means when x = 3, y =6

Substitute these values of x, y into the equation for the perpendicular line and solve for b

\(y = \dfrac{5}{3}x + b\\\\\text{When x = 3, y = 6}:\\\\6 = \dfrac{5}{3} \cdot 3 + b\\\\6 = 5 + b\\\\b = 6 - 5 = 1\\\\\text{So, the equation of the perpendicular line is }\\y = \dfrac{5}{3}x + 1\)

This corresponds to Choice A

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

Min: 1

Q1: 2
Median: 7
Q3: 9
Max: 11.5

Step-by-step explanation:

The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.

The first bar represents the minimum, which in this case is 1.

The second bar represents the first quartile (Q1), which in this case is 2.

The third bar represents the median, which in this case is 7.

The fourth bar represents the third quartile (Q3), which in this case is 9.

And the fifth bar represents the maximum, which in this case is 11.5.

Answer:

Min: 1

Q1: 2

Median: 7

Q3: 9

Max: 11.5

Step-by-step explanation:

I hope it helps:)

Answer:

0.008 3repeating

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. of White rectangular boxes = 5

No. of Black rectangular boxes = 8

No. of White square boxes = 9

No. of Black square boxes = 4

5x + (-8x) + 9 + (-4)

= - 3x + 5 (Ans) (option D)

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Im sorry I don't know the answer to the question

Answer:

13

Step-by-step explanation:

Sorry im in 5th grade.

movies 1.75 each

games 5.75 each

Answer:

Ф = 19.80 °

Step-by-step explanation:

by using pythagoras theorem

h² = p² + b²

13² = 5² + b ²

b = √194

b = 13.93

now

tanФ  = p/b

Ф = tan¬1( 5 / 13.93)

Ф = 19.80 °

9514 1404 393

Answer:

  B, C, E

Step-by-step explanation:

(a) <does not refer to multiplication> FALSE

(b) Rational expressions are closed under multiplication.TRUE

(c) The commutative property states that changing the order of two or more factors does not change the value of the product. TRUE

(d) The associative property states that the way in which two or more factors are grouped in a product changes the value of the product. FALSE, the product will be unchanged.

(e) The properties of rational expression multiplication are parallel to the properties of rational number multiplication. TRUE

Answer:

The answer is B, C, E. aka, 2,3,5

Step-by-step explanation:

Here is proof! Hope you pass<33

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

it took 60 minutes to fill up 800 gallons of water???

Answer:

$50

Step-by-step explanation:

Answer:

$50 I think lol I hope you get it right

Answer:

Angle #1 is 45 degrees

Angle #2 is 60 degrees

Angle #3 is 75 degrees

Step-by-step explanation:

x- angle #1

y- angle #2

(180-x-y)- angle #3

3x=180-x

4x=180

x=45

180-x-y=y+15

y=60

180-60-45=

180-105= 75

Our assumption that 3-2√5 is a rational number is false, and hence it is an irrational number.

Let's prove that 3-2√5 is irrational. Let's suppose that 3-2√5 is a rational number, it means it can be represented as a ratio of two integers. Thus, we can write

3-2√5 = p/q, where p and q are integers with no common factors. Assume q≠0. Rearranging, we get:

3 = (2√5)q + p

Now, squaring both sides we get:

9 = 20q2 + 2pq√5 + p2(5)

Since p and q are integers, we have that 5q2 and p2(5) are both multiples of 5, and hence their difference is also a multiple of 5. Thus, 5 divides 9-p2(5) which means that 5 also divides (3-p)(3+p). Since 5 is prime and it divides the product of (3-p)(3+p), it must divide 3-p or 3+p (or both).

Hence, either 3-p or 3+p is divisible by 5. However, the possible values of p are ...,-3,-2,-1,0,1,2,3,... and thus p+3 is also in this set. Since 5 divides p+3, it must be the case that p+3 = 5n for some integer n. Hence p = 5n - 3. Now we have:

3 = (2√5)q + p = (2√5)q + (5n - 3)

Rearranging, we get:

(2√5)q = 6 - 5n

Since 2√5 is irrational, we have a contradiction because we have found that 2√5 is a rational number which is impossible.

Therefore, our assumption that 3-2√5 is a rational number is false, and hence it is an irrational number.

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Answer:

(-x)(x^2 + 4x + 5)

Step-by-step explanation:

You have to factor out the -x from the rest of the expression.