if you apply the changes below to the quadratic pareent function, F(x)=x^2 what is the equation of the new function? shift 6 units right. shift 4 units down.

The mode is 1.

It was repeated 4 times whereas 6 was only repeated 3 times, 4 twice, and 0 once.

Answer: 1

The mode is the number that occurs the most within the set of numbers. If the set of numbers is as follows: 1, 4, 4, 1, 1, 0, 6, 6, 6, 1, then the answer is one(1).

However, if the set of numbers appear as follows: 14, 41, 10, 66, 61, then there is no mode.

Answer: 60 test tubes

Step-by-step explanation: 41.4/60 = 0.69

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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The Venn diagram is best for representing information of these sort. The Venn diagram is attached and the answers to the questions are :

Let :

Attend football game = F

Grade paper = P

Household chores = H

FnHnP = 14

FnP only = 29 - 14 = 15

FnH only = 42 - 14 = 28

PnH only = 67 - 14 = 53

From the Venn diagram attached :

The number who planned to grade papers only :

P only = 128 - (15 + 14 + 53) = 46

Number who plan to grade papers or do household Chores:

(FnP)only + (FnPnH) + (PnH)only + (FnH)only + P only + H only

(15 + 14 + 53 + 28 + 15 + 46) = 171

Number who did not plan to do any of the activities :

250 - (69 + 15 + 46 + 28 + 14 + 53 + 15) = 10

Number who planned to do atleast 2 activities :

(FnP)only + (FnPnH) + (PnH)only + (FnH)only

15 + 14 + 53 + 28 = 110

Attend football game and do house chores only :

FnH only = 42 - 14 = 28

Attend football or grade only :

(F only + P only + FnP only )

69 + 46 + 15 = 130

At most one of the activities :

F only + P only + H only + None of the activities

(69 + 46 + 15 + 10) = 140

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Answer:

The first one is False.

Step-by-step explanation:

If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.

Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

Answer:

%33.33

Step-by-step explanation:

start by converting the 1.5 lbs into oz. 16 oz go into one pound.

since .5 is equivalent to one half, divide 16 in two to get 8 and then add 8 to 16.

You should get that 1.5 lbs = 24 oz

now divide 24 by 8

24/8 = 3

this shows that 8 goes into 24 three times. If three eights go into 24, then three ones go into 3. You can use this information to make a simplified fraction which is easy to convert over to a percent.

1/3

an last but not least, convert it to a percent

1/3 = %33.33

i hope this helped! i'm bad at explaining things so sorry if it's hard to understand lol

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

If A = 8 oz and B = 1.5 lb

A is 33.33% of B

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

A = 8 oz

B = 1.5 lb

We know that,

1 lb = 16 oz

So,

A = 8 oz

B = 1.5 x 16 oz

B = 24 oz

Now,

Finding the percentage of A.

= 8/24 x 100

= 800/24

= 33.33%

Thus,

If A = 8 oz and B = 1.5 lb

A is 33.33% of B

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Answer:

I believe it is 44x^2+5x

Step-by-step explanation:

Answer:

f(x) = cos 2πx

Thus the fundamental period T = 1  

Step-by-step explanation:

From the information given:

The periodic function f(x + T) = f(x)   T ≠ 0  provided that  T is the smallest positive value  for which f(x + T) = f(x) holds, then T is called the fundamental period of f.

Now, for the given function f(x) = cos(2πx)

suppose T = 1/4 since T ≠ 0  

Then:

f(x+ 1/4) = cos(2π (x + 1/4) )

f(x+ 1/4) = cos (2πx + π/2)

f(x+ 1/4) = -sin 2πx        (Not satisfied)

suppose T = 1/2 since T ≠ 0  

Then:

f(x+ 1/2) = cos(2π (x + 1/2) )

f(x+ 1/2) = cos (2πx + π)

f(x+ 1/2) = -cos 2πx        (Not satisfied)

suppose T = 1 since T ≠ 0  

Then:

f(x+ 1) = cos(2π (x + 1) )

f(x+ 1) = cos (2πx + 2π)

f(x+ 1) = cos 2πx      

f(x+ 1) =  f(x)

f(x) = cos 2πx      

Therefore, the fundamental period T = 1  since  f(x) = cos 2πx  

Answer:

the answer is 2

Step-by-step explanation:

0=4x-8

-4x=-8

x=2

Answer:

x=2

Step-by-step explanation:

the x intercept is where the graph intersects the x axis also called the root of the equation.

y=0 if the graph intersects the x-axis

0= 4x-8; add 8 to both sides

8 = 4x ; divide both sides by 4

2=x

The expression that corresponds to the provided sentence is 2sinx cos²x.

As an illustration, the expression x + y is one where both x and y have words with an addition function in between. There are two kinds of expressions in mathematics: numerical expressions, which only comprise integers, and algebraic expressions, which also include variables.

In mathematics, an expression is a combination of one or more numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponents, and roots) that can be evaluated or simplified to produce a single value.

For example, 2 + 3x is an expression that contains the variables x and the numbers 2 and 3, as well as the operations of addition and multiplication.

Another example is \((4a^2 - 3b)/c\), which is an expression that contains the variables a, b, and c, as well as the numbers 4 and 3, and the operations of addition, subtraction, multiplication, and division.

sin2x cos x is equivalent to (2sinx cosx) cosx,

which simplifies to 2sinx cos²x.

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question-

Which of the following expressions is equal to sin(2x) 2(1 - cos^2(x))

a. The changes in each four-month period are as follows:

Month and       Prices       Absolute      Relative

Year              in Dollars     Change       Change

Apr-20              1.841             n/a                n/a

Aug-20            2.183         $0.342        18.58%

Dec-20            2.195            0.012         0.55%

Apr-21             2.858          0.663         30.21%

Aug-21             3.158          0.300        10.50%

Dec-21            3.307           0.149          4.72%

Apr-22            4.109          0.802        24.25%

b. The change in gas prices has been relatively unstable.

c. Using the inflation calculator, the costs of gas in April 2020 in 2022 dollars terms should be $2.08.

d. The inflation-adjusted cost of gas in April 2020 when compared to April 2022 as absolute and relative changes are as follows:

Absolute change = $2.268 ($4.109 - $1.841)

Relative change = 123.2% ($2.268/$1.841 x 100)

e. The two most drastic rises in gasoline prices in April 2021 and April 2022 can be attributed to spikes in demand relative to supply.

Gasoline prices rise when there is an increased demand relative to supply.

Increasing prices in gasoline prices can also be attributed to cuts in production and supply by the oil cartel.

An absolute change is a dollar change from one period to another.

A relative change is an absolute change expressed in percentages.

The calculations of absolute change and relative change are demonstrated below.

Month and       Prices       Absolute      Relative

Year              in Dollars     Change       Change

Apr-20              1.841             n/a                n/a

Aug-20            2.183         $0.342        18.58% ($0.342/$1.841 x 100)

Dec-20            2.195           0.012         0.55% ($0.12/$2.183 x 100)

Apr-21             2.858          0.663        30.21% ($0.663/$2.195 x 100)

Aug-21             3.158          0.300        10.50% ($0.3/$2.858 x 100)

Dec-21            3.307           0.149          4.72% ($0.149/$3.158 x 100)

Apr-22            4.109          0.802        24.25% ($0.802/$3.307 x 100)

Absolute Change for Aug-20 = $0.342 ($2.183 - $1.841)

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Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer:

Step-by-step explanation:

41

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

18.16

Step-by-step explanation:

D: (-7, -5)

Coordinates for the rectangle you describe:

(-5, 6), (-2, 6), (-5, 1), (-2, 1)

Answer:

d

Step-by-step explanation:

Answer:

k = \(\frac{3}{4}\)

Step-by-step explanation:

given variation equation

y = kx

to find k substitute y = 3 and x = 4 into the equation and solve for k

3 = 4k ( isolate k by dividing both sides by 4 )

\(\frac{3}{4}\) = k

Answer:

More than 30 dollars

Step-by-step explanation:

This situation can be described with the inequality:

x - 5 > 25

1. Add 5 to both sides

2. X > 30

Answer: if those are the smaller parts then the other side has to be as big as the 2 together or more and if the 13 is the biggest part the other has to be something plus the 4 that makes 13 or more

Step-by-step explanation:

Answer:

the possible lenths are 13 or more

The consumer surplus is approximately $145.83.

To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:

D(x) = √(739 - 3x)

Setting D(x) equal to the equilibrium price of $25, we get:

25 = √(739 - 3x)

Squaring both sides, we get:

625 = 739 - 3x

Solving for x, we get:

So at a price of $25 per unit, the consumer is willing to buy 38 units per month.

Now we can calculate the consumer's surplus.

The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:

\(CS = \int_0^{38} [D(x) - 25] dx\)

where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.

Evaluating this integral, we get:

\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)

Therefore, the consumer surplus is approximately $145.83.

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Answer:

y = -2/3x + 3

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2/3x + 3

Answer:

\(y = - \frac{2}{3} x + 3\)

Step-by-step explanation:

\(y = mx + b\)

where y us unknown, m is -2/3 and b is 3

Answer:

C

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The possible values for the range of f(x) are given by:

The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.

In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:

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Answer: The answer would be fewer goods are bought

Step-by-step explanation: This should be the answer because they are basically raising the price for the objects sold and most people do not buy as much as they usually would because of this increase in price

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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Answer:

4.5ft per side

Step-by-step explanation:

square has four equal sides and is L times w times h= A but we have A= 18 already so you reverse and divide so

18/4=4.5

Answer:

$85

Step-by-step explanation:

Divide 15% by $12.75

Change 15% into a decimal by multiplying it by 100

$12.75/0.15= $85