Which of the following equations is the translation 2 units down of the graph of y = |x|?
y = |x - 2|
y = |x + 2|
y = |x| - 2
y = |x| + 2

Answer:

Answer: Pct women = 56%; pct men = 44%

Step-by-step explanation:

Pct men = total men/total people * 100

men = 750-420 = 330

Pct men = 330/750 *100 = 11/25 *100 = 0.44 * 100 = 44%

.

Pct women = 100% - 44% = 56%

.

Check the answer by checking the percentage of women.

women = 420

Pct women = 420/750 * 100 = 14/25 = 56%

Correct.

.

Answer: Pct women = 56%; pct men = 44%

Step-by-step explanation:

As the speed increases the time required to travel a distance is lessened.

 say you have to go 100 km

     if you go 20 km /hr it will take 5 hr....butif you increase your speed

( x axis) to 50 km/ hr it will take less time ....ony 2 hours    so the graph A is most representative       (look at the positive portion of the graph of

                                                   y = 100/x  )

Answer:

Can u explain more pls?

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

got it right on edge

To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

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A form of digital television that works with digital broadcast signals, transmitting digital sound, supporting wide screens, and providing high resolutions is High-Definition Television (HDTV).

HDTV is a type of television broadcasting that utilizes digital signals, allowing for superior picture and sound quality compared to traditional analog television. It supports wide screens, providing an aspect ratio of 16:9, which is ideal for displaying content in widescreen formats. HDTV also offers high resolutions, typically 720p or 1080i/p, resulting in sharper and more detailed images on compatible high-definition displays. With its digital nature, HDTV brings improved audiovisual experiences to viewers, enhancing their overall television-watching experience.

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Each type of interviewer should be hired in order to maximize the number of interviews are 0 undergraduate students, 16 graduate students, and 4 faculty members and the maximum number of interviews is 644 according to the statistics given.

If n = the number of interviews, then let x = the number of undergraduate students hired, y = the number of graduate students employed, z = the number of faculty members hired.

The purposeful action is:

maximization of n = 30x + 32y + 33z

The limitations are: x + y + z 20; 100x + 150y + 200z 3200; and 0;

The answer is 644 because x = 0, y = 16, z = 4.

To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics given.

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Answer:

90deg

Step-by-step explanation:

If the angles are supplementary, that means mA + mB = 180*

we know that

mA = (2x + 8)deg

mB = (2x + 8)deg = mA

mA + mB = 180deg

mB + mB = 2mB = 180deg

mB = 90deg

Note, that we did not need to compute x even, because the angles were the same.

Let's list down the given information in the question.

Instructor and a room = $12, 700

Cost per student = $31.00

Cost per credit hour = $83

If the charge per credit hour is $83 and the section to be run is for 5 credit hours then, total charge is $83 x 5 = $415. This means every student will have to pay $415 for the subject Business Precal.

On the other hand, the college spent $12700 for the instructor and the room as well as $31 per student.

Assuming that x = the number of students, then we can have the equation below:

where 31x is the cost per student per quarter and 415x is the charge per student for the subject Business Precal. The cost of the school must be less than or equal to its total charges to the school.

From that inequality, let's solve for x.

Hence, the minimum number of students they need to let the section is 34.

At 34 students, the school will be able to spend $13, 754 and its total charges to the student is $14, 110.

Whereas, at 33 students, the school will be able to spend $13, 723 but their total charges to the student is only $13, 695.

Hence, they need at least 34 students in order to run the section Business PreCal.

two thirds of a number b which is no more than 12, is b ≤ 18

What is inequality ?

In mathematics, an inequality represents the connection between two values in an imbalanced algebraic statement. A sign of inequality can be used to show that one of the two variables is larger than, greater than or equal to, less than, or equal to another value.

According to question

two thirds of a number b = (2/3)b

Given two thirds of number b is no more than 12

⇒   (2/3)b ≤ 12

⇒   2b ≤ 12*3

⇒   b ≤ (12*3)/2

⇒   b ≤ 36/2

⇒   b ≤ 18

hence the number b whose 2/3 is no more than 12 is, b ≤ 18

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The given image shows the following matrix,\[\begin{pmatrix}-4 & -6\\-7 & -2\end{pmatrix}\]

The expression that represents the determinant of the given matrix is: det(A) = (–4)(–2) – (–6)(–7).

The determinant of a 2 x 2 matrix is calculated as follows:\[\begin{vmatrix}a & b \\c & d\end{vmatrix} = ad - bc\]Here, a = -4, b = -6, c = -7, and d = -2.

Therefore, det(A) = (-4)(-2) - (-6)(-7) = 8 - 42 = -34.

Hence, the expression that represents the determinant of the given matrix is det(A) = (–4)(–2) – (–6)(–7) = -34.

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The  amount of interest capitalized than the minimum amount that she could pay to prevent interest capitalization after 4 years is found to be $144. 90.

The formula to calculate interest is,

Interest =principal x rate x time

Here, we are given that ,

P=$6925

r=0.05/1

t=1

Therefore,

Interest =6925x 0.05 x 1/12

I= $28.85

Now to calculate the amount Maria will owe after 4 years

Sum =P(1+r)n

Sum =6925*(1+0.05/12)4*12

Sum =6925*(1+0.05/12)48

Sum =$8454.70

Therefore, the interest will be

Interest =8454.70 - 6925

Interest = $1529.70

Therefore, the increase in interest amount is

Interest capitalized=1529.70 - 1385.00

Interest capitalized =$144.70

Therefore , the amount which she has to pay after the interest is capitalized is found to be  $144.70.

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Answer: f(x) = 9

Step-by-step explanation:

Plug in wherever you see x the value of f(5)

so you would do

4(5) - 11

20 - 11

Answer:

B

Step-by-step explanation:

because when you are looking at 3/2 it is equivilent to 1.5 or 1 1/2 and c is equivalent to 1 1/2

Answer: the answer is C

Step-by-step explanation:

Answer:

111°

Step-by-step explanation:

look at it. It is the same angle. as m∠VUR

The FV is $107 for the simple interest.

The formula to calculate simple interest is given as:

I = P × R × T

Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.

Formula to find FV:

FV = P + I = P + (P × R × T)

where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.

Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:

FV = 100 + (100 × 7% × 1) = 100 + 7 = $107

Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.

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The ranking of four machines in your plant after they have been designed as excellent, good, satisfactory, and poor is an example of Ordinal data.

Ordinal data is a type of data that is used to rank or order objects or individuals. It is a type of categorical data that can be ranked or ordered, but cannot be measured numerically. In this case, the machines are ranked based on their design quality, which is an example of ordinal data. Other examples of ordinal data include movie ratings, letter grades, and customer satisfaction ratings.

Therefore, the correct answer is option b. Ordinal data.

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Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

hope this helps!

If 19:00<=x<=19:30 and 4:00<=y<=6:00

Total time difference

\(\\ \sf\longmapsto 6:00-19:30=10:30\)

Probability=

\(\\ \sf\longmapsto P(E)=\dfrac{1}{30}\)

Answer:

she starts w/ $900 I think

Step-by-step explanation:

Answer:

1. 900

2. 50 dollars

3. 6 weeks

4. 300 dollars

5. 75 dollars

1. when the number of weeks are at 0, the money she has in her account is 900. So, she has 900 dollars in her account at the beginning.

2. she starts off with 900. The next week, she has 850 in her account, then 800, and so on. therefore, she spends 50 dollars a week.

3. 1/3 times 900 is 300, so she needs to spend 300 dollars. 300/50 is 6, so it will take her 6 weeks to spend 300 dollars.

4. If she spends 50 a week over 12 weeks then multiply 50 and 12. You get 600. we know she starts with 90p, so 900-600 is 300. she spends 600 and ends up with 300 in 12 weeks.

5. we know she spends 50 a week. 50 times 1.5 is 75, so hee brother spends 75 dollars a week

Answer:

mk,  eee

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

These angles are equal to each other because they are alternate exterior angles. Thus, we can solve the for the value of x by creating the equation

6x+5=7x-4

From here, we solve it like a normal algebraic equation, isolating the variables and making sure it is on the same side of the other. From there we subtract 7x from both sides, and subtract 5 from both sides, leaving -x = -4-5. Summing up -4-5, we get -x=-9. Now we make them positive on both sides, leaving the answer that x = 9

The cash price of the article is 88 cedis.

In this question, the article has a price, but paid in cash, there are two discounts.

Thus, the cash price is:

\(P = 115\times0.85\times0.9 = 88\)

The cash price of the article is 88 cedis.

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Answer:

60°

Step-by-step explanation:

Let m<R = x.

Let m<Q = 2x.

m<Q + m<R = 90

2x + x = 90

3x = 90

x = 30

m<Q = 2x = 2(30) = 60

Answer: 60°

Answer:

(35),(−3r),m=34(35),(−3),=3/4

Step-by-step explanation:

Answer:

156000000

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. It has four angles, with each pair of opposite angles being congruent, and its diagonals bisect each other.

To find the length of AC in parallelogram ABCD, we need to use the properties of diagonals.
Given that AE = 2x, BE = 10y, CE = x^2, and DE = 4y - 8.

Since AC is a diagonal, it intersects with diagonal BD at point E. According to the properties of parallelograms, the diagonals of a parallelogram bisect each other.
So, AE = CE and BE = DE.

From AE = CE, we have 2x = x^2.

Solving this equation, we get x^2 - 2x = 0.

Factoring out x, we have x(x - 2) = 0.
So, x = 0 or x - 2 = 0.

Since lengths cannot be zero, we have x = 2.
Now, from BE = DE, we have 10y = 4y - 8.

Solving this equation, we get 6y = 8.
Dividing both sides by 6, we have y = 8/6 = 4/3.

Now that we have the values of x and y, we can find the length of AC.
AC = AE + CE.

Substituting the values, AC = 2x + x^2.
Since x = 2, AC = 2(2) + (2)^2 = 4 + 4 = 8.

Therefore, the length of AC is 8 units.

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The cliff divers dive headfirst from the top of cliff. 1/2 or 0.5 second is the time period will the diver's height exceed that of the cliff.

An object that moves along the vertical axis due to gravitational acceleration is called a free-falling object. The free fall position is given by the following equation of motion:

yₜ = y₀ + v₀t + 1/2(at²)

Where y₀--> the initial height of the object

v₀--> the initial velocity

t --> time

a --> the acceleration due to gravity and is equal to a = g = - 32.2 ft²/sec

We have given that,

Initial velocity of divers , v₀ = 8 feet/sec

Initial Height of top of cliff , s₀ = 87 feet

position function, s(t) = - 16t²+ v₀t +s₀

Plugging all known values in above position function,

s(t) = -16 t² + 8t + 87

The the diver's height exceed that of the cliff means, s(t) > 87

=> -16 t² + 8t + 87 > 87

Subtract 87 from both sides, we get

-16t^2 + 8t > 0 , now we solve this inequality by changing it in a equality,

-16 t² + 8t = 0

=> -8 t( 2t - 1) = 0 => -8t = 0 , 2t -1 = 0

=> either t = 0 or t = 1/2

So the first half second, the person is above the height of the cliff.

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Complete question:

Use the position function s(t)-16t2+ vot +so position, t time) to answer the following: Divers in Acapulco, Mexico, dive headfirst at 8 feet per second from the top of a cliff 87 feet above the Pacific Ocean. During which time period will a diver's height exceed that of the cliff? (vo initial velocity, so initial.

The amount of interest is $1,782 and the monthly payment is $187.

To find the amount of interest and monthly payment for the loan, we need to use the add-on interest formula. The add-on interest formula is:

\(Total interest = Principal x Interest Rate x Time\)

Total amount due = Principal + Total interest

Monthly payment = Total amount due ÷ Number of payments

Given:

Principal (P) = $4,950

Interest rate (r) = 12%

Time (t) = 3 years

Number of payments (n) = 36 (12 months × 3 years)

Using the formula:

Total interest = P x r x t = $4,950 x 0.12 x 3 = $1,782

Total amount due = P + Total interest = $4,950 + $1,782 = $6,732

Monthly payment = Total amount due ÷ Number of payments = $6,732 ÷ 36 = $187

Therefore, the amount of interest is $1,782 and the monthly payment is $187.

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