Write the quadratic function in the form y = a(x - h)^2+ k. (10Points)

The independent events are given below:

Rolling a dice and flipping a coin:

Spinning two spinners each round:

Grabbing an S out of the scrabble bag and then grabbing an M:

These are dependent events because the outcome of the first event affects the outcome of the second event. The number of possible outcomes for the second event depends on the outcome of the first event.

For example, if the S is not replaced in the bag after it is picked, then the probability of picking an M on the second draw will be different if an S was picked on the first draw.

Pulling a candy, eating it, and pulling another out of a bag:

These are dependent events because the outcome of the first event affects the outcome of the second event. After one candy is removed from the bag, the total number of candies in the bag decreases, which affects the probability of selecting a certain type of candy on the second draw.

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The graph represents B) y = [x] - 1.

In algebra, an equatiοn is defined as a mathematical assertiοn that shοws the equality οf twο mathematical expressiοns. Fοr example, the equatiοn 3x + 5 = 14 is made up οf the twο equatiοns 3x + 5 and 14, which are divided by the wοrd "equal."

The Greatest Integer Functiοn is denοted by y = [x].

Fοr all real numbers, x, the greatest integer functiοn returns the largest integer  less than οr equal tο x. In essence, it rοunds dοwn a real number tο the nearest lοwest integer.

In the plοt οf y = [x], the plοt starts frοm οrigin because

y = [0] = 0.

But, in the questiοn, all the line are shifted 1 units dοwnward, as it starts frοm (0, -1).

i.e fοr every values οf x, y decreases 1 units. Hence, 1 must be subtracted.

Therefοre, this graph represents B) y = [x] - 1.

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The score separating the bottom 36% from the top 64%. p36 = 97.43

To find the score that separates the bottom 36% from the top 64%, we need to find the z-score corresponding to the 36th percentile and then use it to calculate the corresponding raw score.

First, we find the z-score using a standard normal table or calculator:

z = invNorm(0.36) = -0.379

Next, we use the formula:

z = (x - mu) / sigma

where x is the raw score, mu is the mean, and sigma is the standard deviation.

Plugging in the given values, we get:

-0.379 = (x - 128.3) / 80.9

Solving for x,

x = -0.379 * 80.9 + 128.3 = 97.43

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The value of the variable x for the similar triangle ∆MST is 9 which makes option D correct.

The triangles MLK and MST are similar, this implies that the length MS of the smaller triangle is similar to the length MK of the larger triangle

and the length MT of the smaller triangle is similar to the length ML of the larger triangle

so;

14/21 = (x + 5)/21

by comparison of both sides of the equation, we have that;

14 = x + 5

x = 14 - 5 {subtract 5 from both sides}

x = 9

Therefore, the value of the variable x for the similar triangle ∆MST is 9.

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Let's use the conditional probability formula to calculate the probability that Luis makes both free throws:

P(both free throws) = P(makes first) * P(makes second | makes first)

We are given that:

P(makes first) = 0.75

P(makes second | makes first) = 0.85

So we can substitute these values in the formula:

P(both free throws) = 0.75 * 0.85

P(both free throws) = 0.6375

Therefore, the probability that Luis makes both free throws is 0.6375, or 0.638 rounded to the nearest thousandth.

Answer:formula 3x + 4y = 10 can be solved for y as y = (10 - 3x) / 4.

Step-by-step explanation:

To solve for y, we need to isolate y on one side of the equation.

3x + 4y = 10

Subtract 3x from both sides:

4y = 10 - 3x

Divide both sides by 4:

y = (10 - 3x) / 4

Answer:

The answer I got was 23x +3 because I multiplied the two fives together and that gives you 25x then I subtracted the 2x from the 25x and I got 23x and then I just added the +3 to the end of the 23x and that is how I got 23x +3.

Answer:

27 duh lord help them please and me

Answer:

Jane is 57  9/20 inches tall.

Step-by-step explanation:

The transformation of the function G(x) in the form of y = +A| x - C| + D is -

y = 0.5| x + 1| + 0.5

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To write the transformation of the function G(x) = 0.5|x+1| in the form y = +A |x - C| + D, we need to find the values of A, C, and D.

First, let's rewrite the given function in the form of |x - C| -

G(x) = 0.5 | x + 1| = 0.5| x - (-1)|

Comparing with the standard form y = A | x - C| + D, we have -

A = 0.5, C = -1

To find the value of D, we need to substitute a point on the graph of G(x) into the function and solve for D.

Let's use the point (-2, 1) -

G(-2) = 0.5|-2+1| = 0.5

So, we get D = 0.5.

Therefore, the transformation of the function is y = 0.5| x + 1| + 0.5.

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Cost of Raw Materials for 4 years is  =  $ 297,000 $ 459,000  $ 630,000  $ 423,000

Budgeted production refers to the expected level of production that a company plans to achieve during a specific period of time, typically a year. It is a key component of the budgeting process and involves estimating the amount of goods or services that a company will produce and sell in the upcoming period, based on various factors such as market demand, production capacity, and available resources.

                    Direct Materials Budget in Bottles & Grams  

                                                Year 2                                        

                                       First        Second       Third         Fourth      Total

Budgeted production,   60,000     90,000    150,000    100,000    450,000

Add Desired Ending Inventory

20 % 0f the Production   18,000   30,000    20,000      14,000     82,000

Less Beginning Inventory  

36,000/ 3                 12,000     18,000   30,000    20,000      80,000          

D.

Materials         66,000    102,000   140,000    94,000   452,000

Grams in a Bottle       3              3               3                3                 3              

Raw Materials      198,000     306,000   420,000  282,000   1356,000

Costs                      $1.50           $1.50        $1.50          $1.50        1.50          

Costs Raw Materials   $ 297,000 $ 459,000  $ 630,000  $ 423,000

    Total Raw Material Cost is $2,034,000.

"Unit cost of raw materials"

Direct Materials Budget in Bottles & Grams

                                                Year 2                                          Year 3

                                             First        Second       Third         Fourth      First

Budgeted production

Production                       = 60,000     90,000    150,000    100,000    70,000

Desired Ending Inventory  

20 % of the Production =      18,000   30,000    20,000      14,000

Less Beginning Inventory  

36,000/3   =   12,000/18,000  30,000  20,000  14,000  for musk oil.

D.

Materials Budget    =                 66,000    102,000   140,000    94,000

Grams in a Bottle    =                       3              3               3                3          

gms = 198,000 306,000 420,000 282,000 for raw materials

Costs(given)            =               $1.50           $1.50        $1.50          $1.50      

Costs of Raw Materials are $ 297,000, $ 459,000, $ 630,000, and $ 423,000 for 4 years.

Therefore, the correct answer are :

Total Raw Material Cost is $2,034,000.

Cost of Raw Materials for 4 years is  =  $ 297,000 $ 459,000  $ 630,000  $ 423,000

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The complete question is:

Three grams of musk oil are required for each bottle of Mink Caress, a very popular perfume made by a small company in western Siberia. The cost of the musk oil is $1.50 per gram. Budgeted production of Mink Caress is given below by quarters for Year 2 and for the first quarter of Year 3:

Year 2 Year 3

First Second Third Fourth First

Budgeted production, in bottles 60,000 90,000 150,000 100,000 70,000

Musk oil has become so popular as a perfume ingredient that it has become necessary to carry large inventories as a precaution against stock-outs. For this reason, the inventory of musk oil at the end of a quarter must be equal to 20% of the following quarters production needs. Some 36,000 grams of musk oil will be on hand to start the first quarter of Year 2.

Required:

Prepare a direct materials budget for musk oil, by quarter and in total, for Year 2. (Round "Unit cost of raw materials" answers to 2 decimal places.)

The regular price of the TV is $445.81, and the sale price is $393.36.

To find the percent decrease in the price, we can use the formula:

percent decrease = (original price - sale price) / original price x 100%

Substituting the given values, we get:

percent decrease = ($445.81 - $393.36) / $445.81 x 100%

percent decrease = $52.45 / $445.81 x 100%

percent decrease = 0.1175 x 100%

percent decrease = 11.75%

Therefore, the percent decrease in the price of the TV is 11.75%.

Answer:

Step-by-step explanation:

To find the coterminal angle with 887, we can add or subtract any multiple of 360°.

Adding a multiple of 360°:

887 + n(360)

where n is an integer.

Subtracting a multiple of 360°:

887 - n(360)

where n is an integer.

To find the angle between -0° and -36°, we need to subtract a multiple of 360° from 887 to get an angle between -0° and -36°.

887 - n(360) = -x

where x is the angle between -0° and -36°.

We can solve for x:

x = 887 - n(360)

We want x to be negative, so we need to choose a value of n such that 887 - n(360) is less than 0.

If we set n = 3, then:

x = 887 - 3(360) = 47

So, the angle between -0° and -36° that is coterminal with 887 is 47 degrees.

The value of 2 miles = 3520 yards and 3 miles = 5280 yards. 2 yards = 6 feet and 3 yards = 9 feet. 2 feet = 2 x 12 inches = 24 inches and 3 feet = 36 inches.

The International System of Units (SI) units may be used in trade and commerce, grants and other business-related activities, educational information, and as guidelines in publications to improve understanding of the metric system. The SI units may be interpreted or modified for use in the United States by the Secretary of Commerce through the National Institute of Standards and Technology.

Multiply the number of miles by 1760:

1 mile = 1760 yards

2 miles = 2 x 1760 yards = 3520 yards

3 miles = 3 x 1760 yards = 5280 yards

Multiply the number of yards by 3, since there are 3 feet in a yard.

1 yard = 3 feet

2 yards = 2 x 3 feet = 6 feet

3 yards = 3 x 3 feet = 9 feet

Multiply the number of feet by 12, since there are 12 inches in a foot.

1 foot = 12 inches

2 feet = 2 x 12 inches = 24 inches

3 feet = 3 x 12 inches = 36 inches

Hence, the value of 2 miles = 3520 yards and 3 miles = 5280 yards. 2 yards = 6 feet and 3 yards = 9 feet. 2 feet = 2 x 12 inches = 24 inches and 3 feet = 36 inches.

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Answer:

Step-by-step explanation:

first.. simplify

5.9x^2 + 8.5x +4.5x^2+5x (add the others together in a different problem)

then subtract the two numbers (i hope this helps!)

Answer:

Step-by-step explanation:

Answer: the length of an arc intercepted by an angle in a circle is L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the central angle in radians.

Using this formula, we can find the length of the arc intercepted by an angle of π radians in a circle with radius 7:

L = rθ = 7π/1 = 7π

Therefore, the length of the arc is 7π units. This is already in its simplest form since π is a constant that cannot be simplified further.

Step-by-step explanation:

The volume of the square based cuboid is 160 cm³.

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The volume of a rectangular prism is expressed as;

V = w × h × l

Since the cuboid has a squared base.

Plug in the given values and solve for the volume.

Volume = w × h × l

Volume = 4cm × 10cm × 4cm

Volume = 160 cm³

Therefore, the volume is 160 cubic centimeters.

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Kimmy went around the track 6 times.

Track practice typically refers to a training session or practice session for athletes who participate in track and field events such as running, jumping and hurdling.

Kimmy's total distance covered during her warm-up, run, and cool-down is:

0.25 km + 2 km + 0.15 km = 2.4 km

To find how many times Kimmy went around the track, we need to convert the total distance to laps.

Since the track is 400 m long, we can divide 2.4 km by 0.4 km to get:

2.4 km ÷ 0.4 km/lap = 6 laps

Therefore, Kimmy went around the track 6 times.

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The employee's net pay after taxes if he works 52.5 hours in one week is $616.875.

The net pay is the difference between the gross periodic pay or earnings less statutory deductions, including income taxes.

Normal hourly rate = $15

Normal weekly hours = 40 hours

Overtime rate = 1¹/₂ of $15 = $22.50

Income tax rate = 30%

Total hours worked in one week = 52.5 hours

Overtime hours = 12.5 (52.5 - 40)

Normal weekly gross pay = $600 ($15 x 40)

Overtime pay = $281.25 ($22.50 x 12.5)

Total pay for the week = $881.25

Income tax = $264.375 ($881.25 x 30%)

Net pay = $616.875 ($881.25 - $264.375)

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22. 3.9 feet tall at the highest point.

23. 12.6 inches long.

24. 76.6 feet tall.

25. The height of the formation is 50.3m.

Trigonometry studies the relationships between sides and angles of triangles.

22. To calculate the height of the ramp, David can use the concept of trigonometry. The formula for finding the height of a right triangle is h = opposite side/sin(angle).

The opposite side is 3.5 feet and the angle is 20°.

Therefore, h = 3.5/sin(20°) = 3.9 feet. The ramp needs to be 3.9 feet tall at the highest point, rounded to the nearest tenth.

23. To calculate the length of the springboard, Eric can use the concept of trigonometry.

The opposite side is 6 inches and the angle is 14.5°. Therefore, a = 6/tan(14.5°) = 12.6 inches. The springboard is 12.6 inches long.

24. To calculate the height of the roller coaster, the concept of trigonometry can be used.

The opposite side is 98 feet and the angle is 55°.

Therefore, h = 98/sin(55°) = 76.6 feet. The roller coaster is 76.6 feet tall when it reaches the top of the first hill.

25. To calculate the height of the formation, Diego can use the concept of trigonometry.

The opposite side is 43m and the angle is 36°. Therefore, h = 43/sin(36°) = 50.3m.

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Answer:

Let's call the three-digit number whose digits are all the same "n". We know that n must be between 111 and 999, inclusive.

Now let's consider a three-digit number x. We can write x as:

makefile

Copy code

x = 100a + 10b + c

where a, b, and c are the hundreds, tens, and one's digits of x, respectively. The sum of the digits of x is:

CSS

Copy code

a + b + c

If we subtract this sum from x, we get:

CSS

Copy code

100a + 10b + c - (a + b + c) = 99a + 9b

We want this to be equal to n, which means:

Copy code

99a + 9b = n

We know that n has three identical digits, so we can write:

makefile

Copy code

n = 111p

where p is a digit between 1 and 9. Substituting this into the equation above, we get:

CSS

Copy code

99a + 9b = 111p

11a + b = 37p

Since a and b are digits between 0 and 9, we can see that 37p must be between 0 and 99. The possible values of p are therefore 1, 2, and 3.

If p = 1, then 37p = 37, and we need to find two digits a and b such that 11a + b = 37. This gives us the solutions (a, b) = (3, 4) and (a, b) = (4, 3), which correspond to the numbers 343 and 434.

If p = 2, then 37p = 74, and we need to find two digits a and b such that 11a + b = 74. There are no such solutions since the largest possible value of 11a + b is 99.

If p = 3, then 37p = 111, and we need to find two digits a and b such that 11a + b = 111. This gives us the solution (a, b) = (10, 1), which corresponds to the number 1001. However, 1001 is not a three-digit number, so it does not count.

Therefore, the only two three-digit numbers that satisfy the conditions of the problem are 343 and 434. There are 2 such numbers.

Step-by-step explanation:

Answer : 04:48 AM

:)

Answer:

4:58

Step-by-step explanation:

10+18 = 28

28/12 = 2 r4

41+17 = 58

36 cm³ of pure alcohol is added to 10 cm of an 8% alcohol solution to strengthen it to an 80% solution.

What is the solution?

A particular kind of homogenous mixture made up of two or more substances is known as a solution. A solute is a substance that has been dissolved in a solvent, which is the other substance in the mixture.

Here, we have

Given: a pharmacist adds 10cm^(3) of an 8% alcohol solution to strengthen it to an 80% solution.

Let x represent the volume of pure alcohol (100%) in cm³ needed to be added.

x × 100% + 10 cm³ × 8% = 80% × (x + 10 cm³)

x × 1 + 10 × 0.08 = 0.8 × (x + 10)

x + 0.8 = 0.8x + 8

0.2x = 7.2

x = 36 cm³

Hence, 36 cm³ of pure alcohol is added to 10 cm of an 8% alcohol solution to strengthen it to an 80% solution.

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Answer:

B: (k circle h)(x) = StartFraction 1 Over (5 + x) EndFraction

Step-by-step explanation:

To find the expression that is equivalent to (k circle h)(x), we first need to find k(h(x)).

k(h(x)) = k(5 + x) = 1/(5 + x)

Therefore, the expression that is equivalent to (k circle h)(x) is 1/(5 + x), which is option B:

(k circle h)(x) = StartFraction 1 Over (5 + x) EndFraction

Answer:

k∈(-∞;22]

Step-by-step explanation:

I added a photo of my solution

Answer:

The formula

Step-by-step explanation:

just do pi times the circle's radius squared.

(pi x r squared)

Answer:

Step-by-step explanation:

The sum of the measures of angles DAC and CAB must equal the measure of angle DAB, since they are adjacent angles that share a common vertex, A. Therefore, we have:

(DAC) + (CAB) = (DAB)

Substituting the given values, we get:

(2y - 7) + (3y + 2) = (DAB)

Simplifying and solving for y, we get:

5y - 5 = (DAB)

y = (DAB + 5) / 5

Now we can find the measure of angle CAB by substituting y back into the given expression for CAB:

<CAB = (3y + 2) = 3[(DAB + 5)/5] + 2 = (3DAB + 17)/5

Therefore, the measure of angle CAB is (3DAB + 17)/5 degrees.

The minimum time that Melissa will need to accomplish the task are 15 minutes.

To start let's calculate the time she needs to count the sheets Melissa will transfer:

Sheets to be counted: 18 (Melissa can just count 18 sheets rather than 82 as there are 100 sheets in a pack) 100 - 82 = 18.

Time to count 3 sheets: 1 second

1 second = 3 sheets

    x         =  18 sheets

x = 18 x 1  / 3 = 6 seconds

6 seconds + 3 seconds to transfer the package =  9 seconds

Finally, let's calculate the total time by multiplying by the number of packs.

9 x 100 = 900 seconds / 60 =  15 minutes.

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Answer:

225955.2

Step-by-step explanation: