Find the volume of the given prism.

A) 6,336
B) 3,568
C) 1,784
D) 1,920

Answer:

I think it's 75 degrees or 90 degrees

Answer:100

Step-by-step explanation:

40+40 =80 +20=100

\(\boxed{\begin{array}{c|c|c}\boxed{\bf Time (min)}&\boxed{\bf Distance\: traveled(ft)}&\boxed{\bf Distance\: remaining (ft)}\\ \rm 1 &\rm 500&\rm 9500 \\ \rm 2&\rm 1000&\rm 9000\\ \rm 5&\rm 2500 &\rm 7500 \\ \rm 10 &\rm 5000 &\rm 5000 \\ \rm 20 &\rm 10000 &\rm 0\end{array}}\)

Hope I helped

Answer:

The person on the top is right.

Step-by-step explanation:

Answer:

a)

\(\frac{^{500}C_{400}}{^{700}C_{500}}\)

b)

\(\frac{^{699}C_{499}}{^{700}C_{500}}\)

Step-by-step explanation:

Given

The total number of opportunities to employees for transfer = 500

Company currently has  100 managers, 200 factory workers, and 400 miscellaneous staff

a) All the managers will be offered the opportunity

\(\frac{^{500}C_{400}}{^{700}C_{500}}\)

b) You will be offered the opportunity

\(\frac{^{699}C_{499}}{^{700}C_{500}}\)

Answer:

The answer is 194000

Step-by-step explanation:

It is closer to 194000 than 195000

Answer:

I believe its DOB, I'm sorry if I'm wrong

Step-by-step explanation:

Answer:

x - 4 < 18

Step-by-step explanation:

< means less than

> means more than

Answer:

B

Step-by-step explanation:

7+ 8+ 9= 24

24 x 3= 72

Answer:

The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Step-by-step explanation:

Let x, y, and z be the three consecutive integers

The sum of x, y, and z will be: x+y+z

The three times the sum of three consecutive integers is 72.

so the equation becomes:

3(x+y+z)=72

Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check

3(x+y+z)

⇒ 3(7+8+9)

⇒ 3(24)

⇒ 72

Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Answer:

(48, 3), (80, 5), (160, 10)

Answer:

6+4+15 = 25 and since there are 6 red marbles the answer is 6/25

Answer:

6 out of 25 chance/ 24%

Step-by-step explanation:

15 + 4 = 19 + 6 = 25

6/25 = 0.24 = 24%

Oh yeah definitely, two lines don't have to be parallel or intersect. There are many examples. I'll give you one. Imagine two lines right now, one is flat horizontal, 180 degrees. Another line is above the horizontal line, at like 30 degrees. But they do not touch. So therefore, these lines are neither parallel or intersecting. The answer is true.

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.

The emplοyee's percent is 100% decreased by the emplοyer's percent.

100%−73%=27%

Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:

27% × $11,473 = 0.27 × $11,473 = $3,097.71

The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.

The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.

$3,097.71 ÷ 12

= $258.14

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

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Complete question:

Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.

Answer:

y = 5x - 7

Step-by-step explanation:

Here, we are given two clues:

Let us put the slope into the slope intercept form.

y = 5x + b

We do not know what b is. So, we can go onto Desmos (a secure, graphing website) to see what the y-intercept is. If we do so, we see that we must move the line 7 units downwards to hit the point (2, 3). This means that the equation is:

y = 5x - 7

Hope this helps!

Answer:

37.5

Step-by-step explanation:

Answer:

1) p ≥ -6

2) p ≤ -38/5

Step-by-step explanation:

3p + 4 ≥ -14

Subtract 4 to both sides

3p ≥ -14 - 4

3p ≥ -18

Divide 3 to both sides

p ≥ -18/3

p ≥ -6

\(\rule[225]{225}{2}\)

1 - 5p ≥ 39

Subtract 1 to both sides

-5p ≥ 39 - 1

-5p ≥ 38

Divide -5 to both sides

p ≤ -38/5

\(\rule[225]{225}{2}\)

Answer:

The graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Step-by-step explanation:

We know that when we add a constant to the input of the parent function, we get a horizontal shift.

The direction of shifting depends upon the value of the added constantly. If the added constant is negative, the shift of the graph will be left and if the added constant is positive, the shift of the graph will be right.

For example, consider the function

f(x)

so adding \(3\) in the put i.e. \(f(x+3)\) would be a change on the inside of the function, giving a horizontal shift left by 3.

Therefore, the graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Answer:

3.Injective

4. As the name suggests Invertible means “inverse“, Invertible function means the inverse of the function. Inverse functions, in the most general sense, are functions that “ reverse ” each other. For example, if f takes a to b, then the inverse, f -1, must take b to a. The inverse of a function is denoted by f-1

5. The graph of the inverse of a function reflects two things, one is the function and second is the inverse of the function, over the line y = x. This line in the graph passes through the origin and has slope value 1. It can be represented as; y = f -1 (x)

6. The horizontal line test is a convenient method that can determine whether a given function has an inverse, but more importantly to find out if the inverse is also a function. We say this function passes the horizontal line test.

7. When given a function, draw horizontal lines along with the coordinate system.

Check if the horizontal lines can pass through two points.

If the horizontal lines pass through only one point throughout the graph, the function is a one to one function.

Step-by-step explanation:

3. To have an inverse, a function must be injective i.e one-one. Now, I believe the function must be surjective i.e. onto, to have an inverse, since if it is not surjective, the function's inverse's domain will have some elements left out which are not mapped to any element in the range of the function's inverse.

4. As the name suggests Invertible means “inverse“, Invertible function means the inverse of the function. Inverse functions, in the most general sense, are functions that “reverse” each other. For example, if f takes a to b, then the inverse, f-1, must take b to a. In other words, we can define as, If f is a function the set of ordered pairs obtained by interchanging the first and second coordinates of each ordered pair in f is called the inverse of f. Let’s understand this with the help of an example.

5. An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1. One should not confuse (-1) with exponent or reciprocal here.  

If f and g are inverse functions, then f(x) = y if and only if g(y) = x

In trigonometry, the inverse sine function is used to find the measure of angle for which sine function generated the value. For example, sin-1(1) = sin-1(sin 90) = 90 degrees. Hence, sin 90 degrees is equal to 1. A function accepts values, performs particular operations on these values and generates an output. The inverse function agrees with the resultant, operates and reaches back to the original function.

The inverse function returns the original value for which a function gave the output.

If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x. A function that consists of its inverse fetches the original value.

Example: f(x) = 2x + 5 = y

Then, g(y) = (y-5)/2 = x is the inverse of f(x).

Note:

The relation, developed when the independent variable is interchanged with the variable which is dependent on a specified equation and this inverse may or may not be a function.

If the inverse of a function is itself, then it is known as inverse function, denoted by f-1(x).

6. In mathematics, the horizontal line test is a test used to determine whether a function is injective (i.e., one-to-one).

7. One-to-One Function. A function for which every element of the range of the function corresponds to exactly one element of the domain. One-to-one is often written 1-1. Note: y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test.

Answer:

6 x (-4)

= (-24)

Step-by-step explanation:

when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.

NOTE: if a number doesn't have a sign, it's a positive number

Applying the two-tangent theorem, the length of AN is: 21 units.

The two-tangent theorem is a geometric theorem that states that if two tangents are drawn to a circle from a point outside the circle, then the lengths of the tangent segments are equal. This theorem is often used in geometry to find the length of tangent segments and to prove the existence of tangents to circles.

More formally, the two-tangent theorem states that if P is a point outside a circle with center O, and if PA and PB are tangents to the circle from point P, then PA = PB. In other words, the lengths of the two tangent segments are equal.

From the image above, AM and AN are two tangents from the same circle. Also, AN is also tangent with 29 - 2y.

This implies that the three tangents are congruent. Therefore:

6y - 3 = 29 - 2y

6y + 2y = 29 + 3

8y = 32

y = 32/8

y = 4

AN = 6y - 3

Plug in the value of y

AN = 6(4) - 3

AN = 21 units.

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To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Plug in values of x to find corresponding values of y.

For example, replace x with 0 to find that...

y = -5x-3

y = -5*0 - 3

y = 0 - 3

y = -3

We have x = 0 lead to y = -3.

Therefore, the point (0, -3) is on this line. This is the y intercept.

Now try something like x = 1

y = -5x-3

y = -5*1 - 3

y = -5 - 3

y = -8

It shows the point (1,-8) is also on the line.

The straight line goes through (0,-3) and (1,-8)

We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.

See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.

Answer:

$638.10

Step-by-step explanation:

= $100 (1 + 2/100)^4

= $100 (1 + 0.02)^4  

= $100* 1.0824

= $108.24

For the second year = $100+ $108.24= $208.24

= $ 208.24 * 1.0824

= $225.41

For the third year = $100 + $ 225.41 = $325.41

= $325.41 * 1.0824

= $352.23

For the fourth year = $100 + $ $352.23 = $452.23

= $452.23 * 1.0824

= $ 489.51

For the fifth year =  $100+ $489.51 = $589.51

= $589.51 * 1.0824

= $ 638.10

Answer:

Step-by-step explanation:

Ok so 5-2 is 3 and then 3*7 is 21 so 3+21 is 24

Answer:

correct

Step-by-step explanation:

its 3/4

The probability that none of the shoes are black is:

The probability of the shoe that black is: 0.2

The probability of the shoe that is not black is: 0.8

Black: 0.2

Not black: 0.8

Since we’re looking for the probability of the shoe that is not black and there are 3 in a row, the answer will be = 0.8^3

= 0.8^3 will give you the equivalent of 0.512

If changed in percent form, the answer will be: 51.2%

Desmos Graphing Calculator

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

0.0481 = 4.81% probability of getting five or fewer women when 18 people are hired. Since this probability is lower than 5%, it means that five or fewer woman being hired is an unlikely event, and supports the charge.

Step-by-step explanation:

For each new employee hired, there are only two possible outcomes. Either it is a woman, or it is not. The probability of an employee being a woman is independent of any other employee. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that \(p = 0.5\)

Help her address the charge of gender discrimination by finding the probability of getting five or fewer women when 18 people are hired, assuming that there is no discrimination based on gender.

This is \(P(X \leq 5)\) when \(n = 18\)

So

\(P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{18,0}.(0.5)^{0}.(0.5)^{18} \approx 0\)

\(P(X = 1) = C_{18,1}.(0.5)^{1}.(0.5)^{17} = 0.0001\)

\(P(X = 2) = C_{18,2}.(0.5)^{2}.(0.5)^{16} = 0.005\)

\(P(X = 3) = C_{18,3}.(0.5)^{3}.(0.5)^{15} = 0.0031\)

\(P(X = 4) = C_{18,4}.(0.5)^{4}.(0.5)^{14} = 0.0117\)

\(P(X = 5) = C_{18,5}.(0.5)^{5}.(0.5)^{13} = 0.0327\)

\(P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0 + 0.0001 + 0.0005 + 0.0031 + 0.0117 + 0.0327 = 0.0481\)

0.0481 = 4.81% probability of getting five or fewer women when 18 people are hired. Since this probability is lower than 5%, it means that five or fewer woman being hired is an unlikely event, and supports the charge.