The first steps in writing f(x) = 4x2 48x 10 in vertex form are shown. f(x) = 4(x2 12x) 10 (twelve-halves) squared = 36 what is the function written in vertex form? f(x) = 4(x 6)2 10 f(x) = 4(x 6)2 – 26 f(x) = 4(x 6)2 – 134 f(x) = 4(x 6)2 154

Step-by-step explanation:

the value of x is 18 degree and the value of Y is 15 degree

Answer:

16x - 16

Step-by-step explanation:

Distribute the 4 to the other terms.

4(4x - 4) = 16x - 16

Expected real interest rate before change in money supply: 7% (11% nominal interest rate - 4% expected inflation)

Actual real interest rate before change in money supply: 7% (11% nominal interest rate - 4% actual inflation)

Expected real interest rate after increase in money supply: 5% (11% nominal interest rate - 6% expected inflation)

Actual real interest rate after increase in money supply: 5% (11% nominal interest rate - 6% actual inflation)

The unanticipated change in inflation arbitrarily benefits borrowers. When inflation increases unexpectedly, borrowers effectively pay back their loans with money that has less purchasing power than expected at the time of borrowing.

According to the Fisher effect, as expectations adjust to the new, higher inflation rate, the nominal interest rate will increase to compensate for the increase in expected inflation. This implies that the nominal interest rate on car loans will rise to offset the higher inflation rate and maintain the expected real interest rate.

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Answer:

\( \frac{10}{16} \)

Step-by-step explanation:

\( \frac{red \: pens}{total \: pens \: } = \frac{10}{16} \)

or 5/8

Using the Poisson distribution, it is found that:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

In this problem, the mean is of \(\mu = 16\), hence the probability of 15 patients in a day is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992\)

Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:

M = 30 x 0.0992 = 2.976.

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The number of customers in the queue at any one time will be 0.205.

From the poisson process,formula for the required probability will be,

P(r,n) = (r t)ne-r t/n!

here , r = rate of customers per hour

As, 1 hour = 60 minutes

r =15 customers per 60 minutes

t = time in minutes

n = number of customers

Therefore, from the given question we can write, r = 1/4

And for n = 1 , t = 10

Therefore, from the equation, we can write

P(10,1) = (¼ x 10 ) 1 x e-¼ x 10/1!

P(10,1) = 5/2 x e-5/2

= 5/2 e-5/2

= 5/2 x 0.08209

= 0.205

Therefore, required number of customers is 0.205

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Answer:

6-1/0-1=5/-1

Step-by-step explanation:

change in y over change in x gives you gradient.therefore the gradient is negative 5

An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Given:

The graph of h(x) is the greed dashed line segment.

To find:

The endpoints of the function \(h^{-1}(x)\).

Solution:

If (a,b) is the point on the graph of the function f(x), then (b,a) must be the point on the inverse function \(f^{-1}(x)\)

From the given graph, it is clear that the endpoint of the line segment h(x) are (-8,1) and (3,-4).

So, the endpoints of the inverse function \(h^{-1}(x)\) are (1,-8) and (-4,3).

Therefore, the endpoints of \(y=h^{-1}(x)\) are (1,-8) and (-4,3), and the graph is shown below.

Answer:

Hello. Let me explain

Step-by-step explanation:

Line I: y=4

Line m:y=-2x+4

Line n: y=x-1

If you want more information tell me so i can edit the answer.

For finding the slope of each line use this formula:

m= y2-y1/x2-x1

You need two points which are on each line.

After finding slope this is the formula for line

y2-y1=m(x2-x1)

If you use this two formulas you can find each line equation.

Hope you understand.

Answer:

hope this helps you

have a great day

Answer:

there is no equivalent ratio

Step-by-step explanation:

because 7 is a prime number

Answer:                                     1st page

multiply                                                                        divide

1)27                                                                                4

2)32                                                                               6

3)42                                                                               8

4)36                                                                               8

5)45                                                                               5

6)56                                                                               4

7)28                                                                               4

8)45                                                                               5

9)56                                                                               4

10)72                                                                              6

11)64                                                                              7

12)54                                                                              6

13)48                                                                             8

14)42                                                                               8

15)63                                                                               8

16)28                                                                               7

17)48                                                                                8

18)42                                                                                9

19)49                                                                              7

20)64                                                                             5

Step-by-step explanation: used a calculator

Answer:

1,320 liters

Step-by-step explanation:

First, I multiplied 22 times 60 minutes, because that is how long an hour is, and when you multiply you get 1,320. I hope this helps :)

awnser:

1320?

Step-by-step explanation:

The students who took notes by hand understood better than those who took lecture notes on laptop.

When students take notes by hand, during writing the notes they understand the concept, and their brains will store the information and they can memorize it easily. This is the best method for conceptual understanding and it will improve the analytical thinking and problem-solving skills of the student.

Instead of adopting the more conventional approach of concentrating on learning on topics, conceptual learning includes students engaging in high-quality learning experiences built around important concepts and essential ideas. Conceptual is a term used to describe ideas and mental constructs.

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Answer:

dat it

116cm times 7=812

128cm times 8=1024

1024-812=212cm

The quotient of (2x^4 + 5x^3 - 2x - 8) divided by (x + 3) is 2x^3 - x^2 + 3x - 7, and the remainder is 13.

To find the quotient and remainder, we can use polynomial long division.

First, we divide the leading term of the numerator, 2x^4, by the leading term of the denominator, x. This gives us 2x^3.

Next, we multiply the denominator, x + 3, by the quotient term we just found, 2x^3. We subtract this product, which is 2x^4 + 6x^3, from the numerator.

We then repeat the process with the new numerator, which is now -x^3 - 2x - 8.

Dividing the leading term of the new numerator, -x^3, by the leading term of the denominator, x, gives us -x^2.

We continue this process until the degree of the numerator is less than the degree of the denominator.

After finding the quotient, 2x^3 - x^2 + 3x - 7, and the remainder, 13, we can conclude our division.

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Answer: 2/3 is the slope I think and for the same slope thing here is my answer:

We can use similarly of triangles in this case there will be a formation of 2 pairs equal ( angles formed by the y-axis on the parallel lines) angles between triangles formed as the y-axis lines are parallel. So,the slope is the same for both.

Answer:

847.8cm3

Step-by-step explanation:

formula for volume of cone is 1/3πr^2h

The absolute error is 2 ounces, and the relative error is approximately 11.76%.

The absolute error is the difference between the claimed weight and the true weight of the steak, which is:

Absolute error = |15 - 17| = 2 ounces

The relative error is the absolute error divided by the true weight of the steak, which is:

Relative error = (2/17) x 100% = 11.76%

So, the absolute error of the claimed weight is 2 ounces, and the relative error is 11.76%.

To find the absolute error, you'll need to subtract the true value (17 ounces) from the claimed value (15 ounces):

Absolute error = |True value - Claimed value| = |17 - 15| = 2 ounces

Now, to find the relative error, you'll divide the absolute error by the true value, and then multiply by 100 to get a percentage:

Relative error = (Absolute error / True value) x 100 = (2 / 17) x 100 ≈ 11.76%

So, the absolute error is 2 ounces, and the relative error is approximately 11.76%.

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The absolute maximum is −250 which occurs at x=−7. Therefore the correct answer is option A.

To find the absolute extrema of the function f(x)=2x³+16x²+32x+2 on the domain [−7,0], we need to evaluate the function at its critical points and endpoints.

1.

Find the critical points by taking the derivative of f(x) and setting it equal to zero:

f′(x)=6x²+32x+32

Setting f′(x)=0:

6x²+32x+32=0

We can solve this quadratic equation by factoring or using the quadratic formula. Factoring gives:

2(x²+16x+16)=0

(x+8)²=0

So, the critical point is x=−8.

2.

Evaluate the function at the critical point and endpoints:

f(−7)=2(−7)³+16(−7)²+32(−7)+2=−250

f(−8)=2(−8)³+16(−8)²+32(−8)+2=−278

f(0)=2(0)³+16(0)²+32(0)+2=2

Now, we compare the values obtained to find the absolute extrema:

The absolute maximum is −250 which occurs at x=−7.

The absolute minimum is −278 which occurs at x=−8.

Therefore, the correct answer is option A. The absolute maximum is −250 which occurs at x=−7.

The question should be:

Find the absolute extrema if they exist, as well as all values of x where they occur. for the function f(x)= 2x³ + 16x² +32x +2 on the doman [-7,0]

Select the correct choice below and necessary, in the answer boxes to complete your choice

A. The absolute maximum is---- which occur at x=----

(Round the absolute maximum to two decimal places as needed . Type an exact answer for the value of x where the maximum occur. use a comma to separate answers as needed.

B. There is no absolute maximum

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Answer:

The values of h = -2 and 4

The value of k = -3

Step-by-step explanation:

Putting x=5 in the given equation,

x²+(k-1)x-5=0

or, 5²+(k-1)*5-5=0

or, 25+5k-5-5=0

or, 15+5k=0

or, 5k=-15

or, k=-3

putting the value of k and the other root (h+1) in the given equation,

(h+1)²+(-3-1)(h+1)-5=0

if you solve this, you'll get h = -2 and h = 4.

Answered by GAUTHMATH

The volume of the triangular prism on top is:

The volume of the rectangular prism underneath is:

Therefore, the total volume will be:

Answer:

240

Step-by-step explanation:

If 24 students have taken trays from the pizza line, and each of the three serving lines has 12 trays, then there are 24 trays + 312 trays = 60 trays in total. Since the trays were divided into 3 equal groups, there are 60 trays / 3 groups = 60/3=20 trays in each group.

Since 4 cartons of trays were unloaded in the pizza line, and each carton had 60 trays, there were 460 = <<4*60=240>>240 trays in all.

Answer:

X= 10/3y + -4/3                

Step-by-step explanation:

Step One: add -5y to both sides

Step two: divide both sides by -3

Answer:

-x=1 1/3

Step-by-step explanation:

x-(4x-5y)=(5y+4)

x-4x+5y=5y+4

-3x+5y=5y+4

5y-5y=0

-3x=4

x=4÷3

4÷3=1 1/3