rewrite the function g(x)=2x^2+16x+6 in vertex form by completing the square

Answer:

He has to sell 5000 to earn $1000

Step-by-step explanation:

1000/0.2 = 5000

⇒ Is 4x + 7y divisible by 2?⇔ This question simply is asking you if there is a possibility that you can take out the highest common factor of 2 in the expression 4x+7y.

⇒ We cannot take out the highest common factor of 2 in this expression since there is the term 7y that has the coefficient 7 which is NOT divisible by 2. the expression 4x+7y

cannot be written in the form a(b+c)

⇒∴ 4x + 7y is not divisible by 2

If you want me to clarify more in this question please say so as soon possible so that I can make time for you.

Answer: $58.50

Step-by-step explanation:

    We will set up a proportion to help us solve.

[tex]\displaystyle \frac{15\; \text{boxed lunches}}{\$175.50} =\frac{5\; \text{boxed lunches}}{\$x}[/tex]

     Next, we will cross-multiply.

15 * x = 175.5 * 5

15x = 877.5

x = $58.50

The required minimum sample size is 2875

Given that,

A government organization wanted to determine how many drivers between the ages of 16 and 24 had recently engaged in an accident. The agency wanted to make the estimate with a 90% confidence level and within one percentage point.

From the standard normal table, the z-critical value at 90% confidence is 1.65.

The information represent E = 0.01, p = 0.12 and z. =1.65 for finding sample size.

n = (Zc / E )² x P(1-P)

  = (1.65 2x0.12(1 - 0.12)0.01

  = 2874.96 ~ 2875

Hence, 2875 is the necessary number of samples, minimum.

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The no. of ways could those question be ordered is  1307674368000 ways A combination is what?

When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.

The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.

Given

that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways =  1307674368000 ways The number of possible ways for those questions is 1307674368000.

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Answer:

105

Step-by-step explanation:

The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.

From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.

The perimeter for each desk will be:

= 324 / 3

= 108

The perimeter is calculated as:

= 2(length + width)

This will be

2(length + width) = 108

2(length + 30) = 108

2l + 60 = 108

Collect like terms

2l = 108 - 60

2l = 48

Divide

l = 48/2

l = 24

The length is 24 inches.

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The probability exactly two of the appeals were successful is 0.9536

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

[tex]P(X=r)={}^{n}C_{r}(p)^r(1-p)^r[/tex] where [tex]x=0,1,2,3.....[/tex]

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                  appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10 , p=0.40

Probability that at least two of the appeals will be successful = P(X>=2)

   P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                    = 1 - [tex]^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}[/tex]

                     = 1 - 0.00605 - 0.0403

                     = 0.9536

Hence, the probability exactly two of the appeals were successful is 0.9536

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The solutions of the equation x^2 - 6x + d = 0 are both integers and d is a prime number is 5.

From the information, the solution of the equation x^2-6x+d=0 are integers

To find d, the numbers which can be added or subtracted to get -6 is needed which when multiplied will give a prime number

In this case - 5- 1 = -6

And when multiplied (-5×-1) will give +5 which is a prime number.

Therefore, x^2-6x+5=0

This illustrates that d is 5.

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The Little Monsters of Beast Academy completed 15 problems during the math meet in March.

The issue is a simultaneous equation involving two equations and two unknowns.

These are the equations that are created:

Let the quantity of questions that the students at the Beast Academy have answered in

The Little Monsters of Beast Academy successfully completed $frac1/5$ of the problems in the November = y/5

In Math Meet. they resolved $frac23$ = 2x/3 problems i

Hence:

y/5 + 2x/3 = 12

x + y = 30

When the equation is solved,

x = y = 15

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The slopes 0/3 and 9/0 are not perpendicular .

In the question  ,

the two slopes are given ,

the value of slope 1 (m₁) = 0/3

the value of slope2 (m₂) = 9/0 .

We know that the two slopes m₁ and m₂ are perpendicular is

m₁ × m₂ = -1 .

So , for the given values ,

On substituting the values of m₁ and m₂ ,

we get ,

= (0/3) × (9/0) ≠ -1

Since the product of the two given slope is not equal to -1 .

the slopes are not perpendicular .

Therefore , The slopes 0/3 and 9/0 are not perpendicular .

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The time taken by the rocket to reach its maximum height is 1.25 seconds  and the maximum height is 32 feet.

Given equation:

h(t) = -16t^2+40t+7 and initial velocity is 40 feet per second and launching pad is 7 feet tall.

a = 1

t = -b/2a

= -40/2*-16

= -40/-32

= 40/32

= 1.25 seconds

h(2.5) = -16(1.25)^2+40*1.25+7

= -1.5625*16+50+7

= -25+57

= 32 feet.

Therefore The time taken by the rocket to reach its maximum height is 1.25 seconds  and the maximum height is 32 feet.

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The amount to be paid to the broker is 2167.025. Therefore option b is correct.

Percentage:

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, and none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

Here we have to find the amount to pay to the broker.

The given values are:

Market rate = 86.681

The commission charges by broker = 2.5%

The broker has to pay = 86.681 × 2.5% × 1000

                                     = 86.681 × 2.5/100 × 1000

                                    = 86681 × 0.025

                                    = 2167.025

Therefore the amount paid to the broker is 2167.025.

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Answer:

B

I got it right

Step-by-step explanation:

Answer:

parallel- same slope so the slope is 5, the slope will also be 5

perpendicular- reciprocal slope (if a whole # like 5, it goes to -1/5)

Step-by-step explanation:

A six-sided die is rolled, with the potential results being 1, 2, 3, 4, or 6. Gender and illness status are examples of categorical random variable data. A, B, AB, or O correspond to a person's blood type. A voter's potential choice for a political party, e.

Hence, the example is . the color of a piece of meat

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The probability that the coin lands on heads is D = (3±√3)/6

Probability is a branch of mathematics that studies the likelihood of a random event occurring. For example, when a coin is tossed into the air, the possible outcomes are Head and Tail.

Let x be the probability of flipping heads. As a result, the probability of flipping tails is 1- x.

The probability of flipping two heads and two tails is equal to the number of ways to flip it multiplied by the product of the probabilities

(4+2)x2(1-x)2 = 1/6

6x2(1-x)2 = 1/6

x2(1-x)2 = 1/36

x(1-x) = ±1/6

As for the desired probability x, both x and 1 - x are nonnegative, we only need to consider the positive root, hence

x(1-x) = 1/6

6x2 – 6x +1 = 1/6

Using the quadratic formula, we can determine that the roots of this equation are

(3±√3)/6

Therefore the probability that the coin lands on heads is D = (3±√3)/6

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now, the assumption in this implicit differentiation is that "y" is really a function in x-terms, whilst "x" is just a simple variable

[tex]x^2y-3x=y^3-3\implies \stackrel{product~rule}{\left( 2xy + x^2\cdot \cfrac{dy}{dx} \right)}-3=\stackrel{chain~rule}{3y^2\cdot \cfrac{dy}{dx}} \\\\\\ 2xy-3=3y^2\cdot \cfrac{dy}{dx}-x^2\cdot \cfrac{dy}{dx}\implies 2xy-3=\cfrac{dy}{dx}(3y^2-x^2) \\\\\\ \left. \cfrac{2xy-3}{3y^2-x^2}=\cfrac{dy}{dx} \right|_{(-1,2)}\implies \cfrac{2(-1)(2)-3}{3(2)^2-(-1)^2}\implies -\cfrac{7}{11}[/tex]

Answer: b(3)=-10

Step-by-step explanation:

Is this what you meant?

The expression for the cost of each scarf is s/4.

According to the question,

We have the following information:

Let s be the total amount Heidi spent for scarves. each of the 4 scarves that she bought cost the same.

Now, the cost of 1 scarf can be easily found by dividing the total cost of the scarves by the number of scarves.

(If we would have to find the cost of 15 scarves then first we would have used division and then multiplication.)

So, we have the following expression:

4 scarves = s

Cost of one scarf = s/4

Hence, the expression for the cost of each scarf is s/4.

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The number of people the elevator would carry more if all passengers were children would be = 148 extra people.

An elevator is defined as the machine that is being installed in tall buildings which helps to transport individuals either to slower level or a higher level of the building.

The number of adults the elevator can carry at a time = 28 adults.

The number of children the elevator can carry at a time = 30 children.

During the course of the day the total capacity of the elevator= 28 × 74 = 2,072.

The number of people the elevator would carry more if all the passengers where children would be;

30 × 74 = $2,220

2,220 - 2,072 = 148 extra people.

Therefore, the number of people the elevator would carry more if all passengers were children would be = 148 extra people.

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The cost of the gas will be equal to £67.81 p.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that,

Initial gas reading = 8247

Final gas reading = 8631

The total consumed gas is given by,

Final gas reading - Initial gas reading  → 8631 - 8247 = 384

Since the cost of gas is 11p per unit we have, the total cost of the gas consumed is given by

Cost of consumed gas = Units of gas consumed × Unit cost of gas

= 384 × 11p = 4224 p

100 p ≡ £ 1

4224 p  = £42.24 p

The total cost of the gs is obtained by adding the fixed charge to the cost of gas consumed as follows,

£25.57 + £42.24 = £67.81 p

The cost of the gas = £67.81 p

The complete question is given below,

The gas meter readings at the beginning and end of a period were: 8247 = 8631 the cost of the gas is 11p for each unit. there is also a fixed charge of £25.57. calculate the cost of the gas. you must show your working

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Answer:

Step-by-step explanation:

1.
4,000 mm to km = 0.004

4,000 mm to m = 4
4,000 mm to cm = 400

2.

12,000 km to m = 12000000
12,000 km to cm = 1.2e+9
12,000 km to mm = 1.2e+10

3.
5,800 m to km = 5.8
5,800 m to cm = 580000
5,800 m to mm = 5800000

4.
2 mm to km = 2e-6
2 mm to m = 0.002
2 mm to cm = 0.2

5.
40,108 to m = 40108000
40,108 to cm = 4010800000
40,108 to mm = 40108000000

6 school-supply kits can be put together in 30 minutes.

What do you mean by the Unitary method?

By using the unitary technique, we may determine the value of a single unit and, using that value, get the value of the necessary number of units.

According to the questions,

By applying the unitary method,

40 school supply kits can be put together in 8 minutes.

∴1 school supply kit can be prepared in (8/40) minutes

∴30 school supply kits can be prepared in (30/5) minutes

Hence,

6 school-supply kits can be put together in 30 minutes.

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The cost of each bottle of water is equal to the cost of each bag of chips.

The expression:

The expression is defined as a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)

Here it is given that 4 bottles, 2 bags of chips, and a fruit salad.

The price of a fruit salad is $5.

The expression given is:

4x + 2x + 5

To find the relation between the price of a bottle and a bag of chips, we have:

Price of bottles = 4x/4 = x

Price of bag of chips = 2x/ 2 = x

Therefore we get that the cost of each bottle and each bag of chips is the same.

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The complete question is:

Jalen bought 4 bottles of water, 2 bags of chips, and a fruit salad. the cost of the fruit salad was $5. this expression was used to represent the amount Jalen should pay. 4x +2x +5 based on the expression, the cost of each bottle of water is ______the cost of each bag of chips.

Answer: B. ≤

Step-by-step explanation:

≤

Centriod!

A centroid is also known as the centre of gravity.

Hope this answers your question!

Answer: centroid

Step-by-step explanation:

By secant line formula, the missing value of the point S is equal to 4.

Two line segments are parallel if and only if both line segments have the same slope. Slopes can be determined by secant line formula, defined below:

m = Δy / Δx

Where:

Then, the missing value of the variable y in the point S is:

(- 4 - 3) / (8 - 1) = (y - 9) / (7 - 2)

- 7 / 7 = (y - 9) / 5

- 1 = (y - 9) / 5

- 5 = y - 9

y = 4

The missing value of the variable y is 4.

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Answer:

2 d.p = 41.87

Step-by-step explanation:

41.86/632

check whether its below or above 5 then round it to the nearest number

2 d.p = 41.87

Answer: 41.87

Step-by-step explanation:

41.86632 to 2 dp is 41.87