Use the graph of the parabola to fill in the table.

The following area tagged expression or sentence as;

1. Expression

2. Expression

3. Sentence

4. Sentence

5. Expression

Algebraic expressions are described as expressions that are composed of variables, terms, coefficients, factors and constants.

These expressions are also identified with various mathematical or arithmetic operations, such as;

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The value of x is approximately 10.6. So, the correct answer is B. 10.6

To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.

Using the sine function, we have:

sin(45 degrees) = x / 15

To solve for x, we can rearrange the equation:

\(x = 15 \times sin(45 degrees)\)

Using the exact value of sin(45 degrees) (which is √2 / 2), we have:

\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)

x = 7.5√2

Therefore, the correct answer is B. 10.6.

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Answer:

f(x) = |x - 12| - 10

Step-by-step explanation:

Start with the "parent" function  f(x) = |x|.

To shift down 10 units, subtract 10 from the function's formula.

|x| - 10.

To shift the graph right 12 units, replace  x  with  x - 12.

g(x) = |x - 12| - 10.

Horizontal shifts often look they're being done backwards.  A shift to the right 12 units calls for replacing  x  with  x - 12 (minus!).  The reason is that if you're graphing the function  g(x) and you pick some value for  x, say 8, you have to go back (left) 12 units to see what value  f  has in order to "copy" it to  g.

g(8) = f(-4)

Answer:

Domain is number of candy or 300

Range is profit from selling candy or $50

Step-by-step explanation:

Domain is the numbers you are allowed to use in your function. In this case, it would be the amount of candy you sold.

The range is the output from inputting the number(s) in the domain. In this case, the range is the amount of money you profit.

Profit=(amount gained)-(amount lost)

amount gained is from selling candy

amount lost is what you invested to get the candy

amount gained=(cost per candy)X(number of candy)

amount gained=(1.50)(300)

amount gained=$450

amount lost=$50

therefore

Profit=450-40=$400

a function for profit can be as follows:

P(x)=1.5x-c

where amount you sold each candy for, c is cost for those x candies, and P(x) is the profit for x candies

Answer:

193 cm

Step-by-step explanation:

super man is 200 cm

hulk is 196 cm

tarzan 193 cm

Answer:

\(x^2-2x+1\)

Step-by-step explanation:

=> (x-1)(x-1)

Using FOIL

=> \(x^2-x-x+1\)

=> \(x^2-2x+1\)

Answer:

\(\boxed{x^2-2x+1}\)

Step-by-step explanation:

\((x-1)(x-1)\)

Apply FOIL Method.

\(x(x-1)-1(x-1)\)

\(x^2-x-x+1\)

Combine like terms.

\(x^2-2x+1\)

Reasons:

The give figure shows;

The preimage figure = P

The image figure = Q

The image P is larger than the preimage Q, therefore, the figure, Q is a

dilation of the preimage P

The center of dilation is found with the formula;

\(& x_0=\frac{\mathbf{k} \cdot \mathbf{x}_1-\mathbf{x}_2}{\mathbf{k}-1} \\\)

\(& y_0=\frac{\mathbf{k} \cdot \mathbf{y}_1-\mathbf{y}_2}{\mathbf{k}-\mathbf{1}}\)

Where;

\($\left(x_1, y_1\right)=$\)A point on the preimage, \($P=(2,3)$\)

\($\left(\mathrm{x}_2, \mathrm{y}_2\right)=$\)The corresponding point on the dilated image, \($\left.Q=\mathbf{( 4}, \mathbf{9}\right)$\)

k= The scale factor

Therefore;

\(x_0=\frac{3 \times 2-4}{3-1}=1\)

\($y_0=\frac{3 \times 3-9}{3-1}=0$\)

The center of dilation, \($\left(x_0, y_0\right)=(1,0)$\)

Therefore;

Shape P is transformed into shape Q through a single transformation that involves dilation by a scale factor of 3 with a center of dilatation at (1,0).

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Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.

A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.

The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).

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The arc length is 18.43 cm and the area of the sector of a circle is 64.53 cm².

The arc is a portion of the circumference of a circle.

The formula for calculating the arc states that:

Arc length = 2πr (θ/360)

Where r = the radius of the circle,

π = pi = 3.14

θ = the angle (in degrees) subtended by an arc at the center of the circle.

360 = the angle of one complete rotation.

A sector of a circle of diameter 14 cm has a central angle of 151°.

Here r = 14/2 = 7 cm, and θ = 151°

Substitute the values in the above formula, and we get

Arc length = 2π(7) (151°/360)

Arc length ≈ 18.43 cm

As we know the area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

Substitute the values in the formula to get:

Area of sector of a circle = (151°/360) × π(7)²

Area of sector of a circle ≈ 64.53 cm²

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Answer:

3

Step-by-step explanation:

Amount used:

8 - 7.25 = 0.75

He used 0.75 cup

Each day he had 0.25 cup.

0.75/0.25 = 3

Answer: 3

5.1489 is less than 5.2019

Therefore, the symbol between the two decimals would be less than symbol.

That is,

The symbol that would replace ? is <

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Answer:

4n + 5

Step-by-step explanation:

This equation cannot be simplified further

Unless you meant 4n + 7 = 2

Then the answer would be -1.25

Answer:

4n+5 hope this helps

Step-by-step explanation:

4n+7-2

4n+5

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

Answer:

the answer is B

hope this is the answer you're looking for

Step-by-step explanation:

Answer:

4 lawns

Step-by-step explanation:

20/5

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Answer:

(-5,+29)

Step-by-step explanation:

\(y=-4x+9\\ y=-4(-5)+9\\ y=20+9\\ y=29\)

Answer:

The correct answer is:

AA

△

EGH

~△

EFD

Step-by-step explanation:

I got it incorrect the first time. the person above or below me is wrong.

9514 1404 393

Answer:

Step-by-step explanation:

In step 1 Angela used the distributive property to eliminate both sets of parentheses. In step 2, she found each of the products she indicated in step 1. In step 3, she combined like terms.

Answer:

the answer is a,d,e

Step-by-step explanation:

Answer:

B. p = −8

Step-by-step explanation:

Hope this helps you on whatever your doing. :))
if its incorrect, please let me know.

The solution is, the value is, p = −8.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

p^3 = −512.

so, we know, p^3 = p*p*p

and, 512 = 8*8*8

now, we get,

p^3 = - 8*8*8

so, solving we get,

p = -8

Hence, The solution is, the value is, p = −8.

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Answer:

277/8  =34.625

Step-by-step explanation:

Answer:

2000 dollar and 6% impound will be your answer

Step-by-step explanation:

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

  B, C, D, E

Step-by-step explanation:

The length of the third side will be between 12-7 = 5 and 12+7 = 19. The answer choices in that range are ...

  B. 17

  C. 7

  D. 9

  E. 11

__

Side lengths A(5) and F(3) are too short.

______

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Answer:

1 2 3 4

Step-by-step explanation:

Answer:

1234

Step-by-step explanation:

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068