Re-write the quadratic function below in Standard Form
y = 3(x - 2)2 – 2
Answer: Y=

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

Answer:

c is the correct answer

Step-by-step explanation:

The algebraic equation for the situation is 22x + 3300 +71x = 26565 and the amount paid for a support staff and a doctor per shift is $250.16 and $400.16 respectively.

What is an algebraic equation?

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.

The amount paid per shift for a support staff = x.

The amount paid per shift for a doctor is $150 more than the amount paid per shift for support staff = (x+150)

Number of support staff working during shift =71

Number of doctors working during shift =22

Amount to be paid to 71 support staff = 71x

Amount to be paid to 22 doctors = 22(x+150)

Total salary of the doctors and staff combined = $26,565

So, the final algebraic equation is obtained as -

22(x+150) + 71x = 26565

Solving the equation -

22x + 3300 +71x = 26565

93x = 26565-3300

93x = 23265

x = 23265/93

x = 250.16

So, the amount paid per shift for a support staff is x = $250.16.

The amount paid per shift for a doctor is x+150 = 250.16+150 = $400.16

Therefore, the amount paid to a support staff is $250.16 and doctor is $400.16.

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P=A/(1+r)T

Step-by-step explanation:

1) p(1+r)=A/T

2)P=A/(1+r)T

Answer:

P=A/(T+Tr)

Step-by-step explanation:

A = P(1+r)T

Multiply P and T

A=PT(1+r)

Clear the bracket by multiplying all bracketed terms by PT

A=PT+PTr

A=P(T+Tr)

Divide both sides by (T+Tr)

A/(T+Tr)=P(T+Tr)

P=A/(T+Tr)

The probability of getting at least one ace is approximately 0.3282, or about 32.8%.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

a. To find the probability of getting exactly one ace, we can use the formula:

P(exactly one ace) = (number of ways to get one ace) / (number of possible hands)

There are 4 aces in a deck of 52 cards, so there are 4 ways to choose one ace. Once we have chosen an ace, there are 48 non-ace cards remaining to choose from. Therefore, the number of ways to get exactly one ace is:

4C1 * 48C4 = 4 * 194580 = 778320

The number of possible hands of 5 cards from a deck of 52 cards is:

52C5 = 2598960

So the probability of getting exactly one ace is:

P(exactly one ace) = 778320 / 2598960 = 0.299

Therefore, the probability of getting exactly one ace is approximately 0.299, or about 29.9%.

b. To find the probability of getting at least one ace, we can use the complement rule. That is, we can find the probability of getting no aces, and subtract it from 1 to get the probability of getting at least one ace. The probability of getting no aces is:

P(no aces) = 48C5 / 52C5 = 0.6718

So the probability of getting at least one ace is:

P(at least one ace) = 1 - P(no aces) = 1 - 0.6718 = 0.3282

Hence, The probability of getting at least one ace is approximately 0.3282, or about 32.8%.

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iq scores have a bell shape distribution with a mean of 100 and standard deviation of 15. 81.855%  of the population has an iq score between 70 and 115

What is z-score?

The z score, also referred to as the standard score, serves to calculate how far each data point place is from its mean. In other words, it calculates x's (data point's) deviation in terms of standard deviations.

Using z tables, you may calculate the proportion of the population that is either below or above the score.

Now, according to the question;

IQ scores follow a normal distribution, with a mean of 100 as well as a standard deviation = 15.

A z score is determined as follows:

z = (x - μ)/σ

μ = mean of the distribution

σ = standard distribution of the sampling.

Calculation for the z score for x = 70 and  115

z= (70-100)/15

= -30/15

=-2

and x=115

z = (115 - 100)/15

= 15/15

z = 1.0

Use z-score table, then likelihood that a randomly chosen person's IQ is more than 115 is,

P( -2 < z < 1)= P(z<1) - P(z< -2)

                   =  0.8413 - 0.02275

                  = 0.81855

Therefore, the percent of the population has an iq between 70and 115 is 81.855%.

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The minimum value of K(x, y) is 3, and the maximum value is 53 within the given feasible region and constraints.

To find the minimum and maximum values of the objective function K(x, y) = 5x + 3y - 12, subject to the constraints 0 ≤ x ≤ 8, 5 ≤ y ≤ 14, and 2x + y ≤ 24, we need to evaluate the objective function at the vertices of the feasible region.

The feasible region is defined by the intersection of the given constraints:

0 ≤ x ≤ 8,

5 ≤ y ≤ 14, and

2x + y ≤ 24.

Let's consider the corners of the feasible region by examining the intersections of these constraints:

A: (0, 5)

B: (0, 14)

C: (8, 5)

D: (6, 8)

Now, we evaluate the objective function K(x, y) at these corner points:

K(0, 5) = 5(0) + 3(5) - 12 = 3

K(0, 14) = 5(0) + 3(14) - 12 = 30

K(8, 5) = 5(8) + 3(5) - 12 = 53

K(6, 8) = 5(6) + 3(8) - 12 = 50

From these calculations, we can see that the minimum value of the objective function occurs at point A (0, 5) with a value of 3, and the maximum value occurs at point C (8, 5) with a value of 53.

Therefore, the minimum value of K(x, y) is 3, and the maximum value is 53 within the given feasible region and constraints.

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Answer:

2.08 × \(10^{7}\)

Step-by-step explanation:

Multiply 4 × 5.4 to get 20.8. Then multiply \(10^{-2}\) × \(10^{8}\) = \(10^{6}\)

However, that is not an answer. So, you can divide 20.8 by 10 and multiply \(10^{6}\) × 10.

Then you get 2.08 × \(10^{7}\)

Answer: 3 quarts and 14 ounces

Step-by-step explanation:

1 gallon = 4 quarts = 128 ounces,

1 quart = 2 pints,

1 pint = 16 ounces.

Therefore:

5 gallons - ( 4 gallons 1 pint 2 ounces ) =

= 5 * 128 - ( 4 * 128 + 1 * 16 + 2 ) = 640 ounces - 530 ounces = 110 ounces

110 ounces = 3 * 32 + 14

Answer:

the answer is c.

Step-by-step explanation:

there's no explanation

(Apologies since this super late; I hope future students will find this helpful)

Answer:

In a scalene triangle, none of the angles are congruent.

Step-by-step explanation:

As shown, the angles in each scalene triangle all have different measurements. Hence, you can conclude that none of the angles in a scalene triangle are congruent.

You can also see the image below if you'd like to confirm this :)

Answer:

x-2

Step-by-step explanation:

Answer:

Correlation

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Domain means basically the x values that are included within the graph or table. Range means the y values that are within those numbers. You have to look for x values that lie from -1 and 2, and the y values ranging from 3 to 5.

Answer:

The second one is correct.

Step-by-step explanation:

Since the graph of a straight line passing through the origin represents two variables in direct variation, with the slope as the coefficient of proportionality,

what was the original temperature, in degrees Fahrenheit, of the cup of hot water?

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Answer:

Semicircle

Step-by-step explanation:

As we can see, the arc is bounded by the chord MO

since the chord passes through the center of the circle, we have it that the chord is a diameter

Mathematically, an arc bounded by a diameter represents half of a circle

So we can conclude that the arc MNO in circle C is a semicircle

Answer:

B = 7

Step-by-step explanation:

Formula: b = Area/height

42/6 = 7

Answer:

3654

Step-by-step explanation:

\(8246-4592=3654\)

The range of the inverse function f^-1 is [7, infinity).

Since the original function f is defined on the interval [7, infinity), it means that f maps values from 7 and greater to its corresponding range. Since f is a one-to-one function, each input value in its domain is mapped to a unique output value in its range.

The inverse function f^-1 reverses this mapping. It takes the output values of f and maps them back to their corresponding input values. Therefore, the range of f^-1 will be the set of values that were originally in the domain of f.

In this case, the domain of f is [7, infinity), so the range of f^-1 will be [7, infinity). This means that the inverse function f^-1 maps values from 7 and greater back to their original input values in the domain of f.

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Step-by-step explanation:

y =-5

5x-6y=40

5x-6(-5)=40

5x+30=40

5x=40-30

x=10/5

x=2

Answer:

The value of x is 2 and y is -5

Step-by-step explanation:

Here, y = - 5 and 5x - 6y = 40 are two given equations.

Substitution Method:

y = - 5 ...(1)

5x - 6y = 40 ...(2)

Now, put the value of y = - 5 in equation (2) we get,

5x - 6y = 40

5x - 6(-5) = 40

5x - (-30) = 40

5x + 30 = 40

Now, Subtract 30 from both side

5x + 30 - 30 = 40 - 30

5x = 10

Now, Divide by 5 from both side

5x ÷ 5 = 10 ÷ 5

x = 2

Thus, The value of x is 2 and y is -5

5x - 6y = 40

5(2) - 6(-5) = 40

10 - (-30) = 40

10 + 30 = 40

40 = 40

Hence, L.H.S = R.H.S

-TheUnknownScientist

The purchase price of a 5-year zero coupon bond will be $768.87.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Let x be the price before 5 years.

If it is purchased today and has a face value of $1,000. Then we have

(1 + 0.046)(1 + 0.049)(1 + 0.052)(1 + 0.055)(1 + 0.068) x = 1000

(1.046 × 1.049 × 1.052 × 1.055 × 1.068) x = 1000

1.3 x = 1000

x = $768.87

The purchase price of a 5-year zero coupon bond will be $768.87.

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Answer:

141

Step-by-step explanation:

94 increased by 50% is 141

Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

Answer:

1/5 or 0.2

Step-by-step explanation:

1/4 x 4/5 =

=1x4/4x5
=4/20 -OR- 1/5 -OR- 0.2

Answer:

last option, 32.5

Step-by-step explanation:

32.5 * 9.20 = 299

Answer:

The first option and the answer is actually 32 hours and 30 min but it'll prolly be 33 hours

Step-by-step explanation:

Answer:

23.14

Step-by-step explanation:

Answer: Raquel

Step-by-step explanation: If you’re reflecting then obviously it’s going to be in a new spot because it flips to somewhere new

Answer:

y = 10x - 46

Step-by-step explanation:

slope intercept form: y = mx + b

m is slope and b is y-intercept

given: y - 4 = 10(x-5)

1. distibute 10

y - 4 = 10x - 50

2. we need to get y by itself so bring -4 to other side

y = 10x - 50 + 4

y = 10x - 46

slope-intercept form is \(y=mx+b\)

\(y=10(x-5)+4\)          ↣ We move -4 to another side and become positive number.

\(y=(10x-50)+4\)             ↣ Distribute 10 inside the brackets.

\(y=10x-50+4\\y=10x-46\)            ↣ Then we get the slope-intercept form.

Thus, the answer is \(y=10x-46\)

The proportion of students who scored higher than Willa is 0.7389. Hence, Option B is correct.

The given information is:

Mean (μ) = 78, Standard deviation (σ) = 5, and Willa scores = 74.8

The formula for the Z-score is:

Z = (x-μ) / σ

Where, x is the value, μ is the mean and σ is the standard deviation.

Substitute the values in the above formula, we get:

Z = (74.8 - 78) / 5

= -0.64

The negative sign indicates that Willa's score is less than the mean score.

Now, find the proportion of students who scored higher than Willa.

It can be done in two steps as shown below:

Step 1: Find the area under the standard normal distribution curve corresponding to the calculated Z-score.

The Z-table gives the area to the left of Z = -0.64.

The area to the right of Z is 1 - area to the left of Z.= 1 - 0.2611

= 0.7389

Therefore, the proportion of students who scored higher than Willa is 0.7389.

Hence, Option B is correct.

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