If p(x) = 5(x^2 +1) + 16, what is the value of p(11)?
A. 622
B. 736
C. 626
D. 690​

Answer:

52.

Step-by-step explanation:

Answer: 52

Step-by-step explanation:

The sum of non- palindrome integer is b

A palindromic number is a number that remains the same when its digits are reversed.

Given:

$91 + 19 = 110$. then $110+011 = 121$

So, there are two numbers which needed 6 steps to become a palindrome number

First, 79

79 +97

=176 + 671

=847 + 748

=1,595 + 5,951

=7,546 + 6,457

=14,003 + 30,041

=44,044

and, the second number is

97 + 79=176

176+671=847

847+ 748= 1595

1,595 + 5,951 = 7,546

7,546 + 6,457 = 14,003

14,003 + 30041

= 44044

Hence, the sum of digits is 16.

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Answer:

b

Step-by-step explanation:

son

Answer:

look at the picture .......................

In the figure of triangles given figure C is not similar

Not similar

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

In figure  C no information is given about the angles hence they are not similar.

Figure B is similar by Side - Side - Side (SSS) and shows a proportion of 2

Figure D is similar by Side - Angle - Side (SAS), the include angle here are equal by vertical angle theorem

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Answer:

  x = 9

Step-by-step explanation:

You want to use the fact that the marked angles are congruent to find the value of x. The angles are marked (6x -20)° and (2x +16)°.

The marked angles are alternate exterior angles at a transversal crossing parallel lines, so they are congruent.

  (6x -20)° = (2x +16)°

  4x = 36 . . . . . . . . . divide by °, add 20-2x

  x = 9 . . . . . . . . . divide by 9

The value of x is 9.

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The perimeter of her garden is 4g² -34g - 2 cm.

It is important to note that the perimeter of a triangle is the addition of all its side. This will be illustrated thus:

In this case, Josh has a triangular garden with sides represented with 15g²- 6g + 8. The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3.

The perimeter will be:

= 15g²- 6g + 8 -17g² - 22g - 13 + 6g² - 6g + 3.

= 4g² -34g - 2

The perimeter is (4g² -34g - 2)cm.

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The formula in statistic to calculate cards drawn at random without replacement shows both the cards are green is given by,

P(both cards are green)

= (number of green cards / total number of cards) × ((number of green cards - 1) / (total number of cards - 1))

The formula in statistics for calculating the probability of drawing two cards at random without replacement,

Both cards are green, depends on the total number of cards and the number of green cards in the deck.

Let us consider there are N total cards in the deck.

And k of them are green.

Probability of drawing two green cards without replacement,

use the following formula,

P(both cards are green)

= (number of green cards / total number of cards) × ((number of green cards - 1) / (total number of cards - 1))

⇒ P(two green cards) = (k/N) x ((k-1)/(N-1))

First term in the formula represents the probability of drawing a green card on the first draw.

Second term represents the probability of drawing a green card on the second draw.

First card was green and hasn't been replaced.

Assumes that each card in the deck is equally likely to be drawn.

And that the two draws are independent of each other .

For example,

A deck of 52 cards,

And there are 13 green cards in the deck (4 of each suit).

The probability of drawing two green cards without replacement would be,

P(two green cards)

= (13/52) x ((12/51))

= 0.0588

Therefore, the probability of drawing two green cards without replacement is approximately 0.0588 or 5.88%.

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The above question is incomplete, the complete question is:

Two cards are drawn at random from a deck of 52 cards of four different color without replacement. What is the formula in statistic for two cards drawn at random without replacement if both cards are green ?

it is true that  0.5% of 200 is 10.

True.

To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.

Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.

For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:

\(0.5% of 200 = 200 \times 5/100 = 10\)

Therefore, it is true that  0.5% of 200 is 10.

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Answer:

\(x>18\)

\(S=\{x\in\mathbb{R}|x>18 \}\)

Step-by-step explanation:

\(15 < x-3\)

\(15+3 < x-3+3\)

\(18 < x\)

\(x>18\)

Donald would need to use 5 levels of cubes, So to make p5 he would need 25-12 = 13 more cubes.

A pyramid is a structure with a square or triangular base and four triangular sides that meet at a point, called the apex. Pyramids were built by ancient civilizations, such as the Egyptians, as tombs for pharaohs and their queens.

In the context of building pyramids with wood cubes, it seems like "pyramid levels" refers to the layers of cubes used to construct the pyramid. Each level is a layer of cubes that sits on top of the previous one, and the number of cubes in each level increases as you move up the pyramid. For example, in the case of p4, the base level would use 1 cube, the next level would use 4 cubes, the next level would use 9 cubes, and so on. The top level, which forms the apex of the pyramid, would use the most cubes. So the pyramid levels refer to the different layers of the pyramid and the number of cubes used in each layer.

To make a pyramid labeled p5, Donald would need to use 5 levels of cubes.

Donald uses 1 cube for the base of p4, 4 cubes for the next layer, 9 cubes for the next, 16 cubes for the next and 25 cubes for the top level.

So to make p5 he would need 25-12 = 13 more cubes.

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We were told that the salary, t years after 2015 is given by the function,

S(t) = 3100t + 56000

When considering 2017, the number of years, t from 2015 is 2017 - 2015 = 2

We would substitute t = 2 into the function and find S(2)

Thus,

S(2) = 3100 x 2 + 56000 = 6200 + 56000 = 62200

When considering 2020, the number of years, t from 2015 is 2020 - 2015 = 5

We would substitute t = 2 into the function and find S(2)

Thus,

S(5) = 3100 x 5 + 56000 = 15500 + 56000 = 71500

Thus, we can say that

when

x1 = 2, y1 = 62200

when x2 = 5, y2 = 71500

Recall,

slope or average rate of change = (y2 - y1)/(x2 - x1)

average rate of change = (71500 - 62200)/(5 - 2) = 9300/3

average rate of change = 3100

The last option is correct

Answer:

yea bro

Step-by-step explanation:

i play

A = [T(e1) T(e2) T(e3)] = [0 0 1; 0 1 0; 1 0 0] The standard matrix A of T is [0 0 1; 0 1 0; 1 0 0]

To determine whether the function is a linear transformation, the following two properties must be tested for: Preservation of Addition: The sum of any two inputs is mapped to the sum of their images. \(T(u+v)=T(u)+T(v)\)

Preservation of Scalar Multiplication: The image of any input multiplied by a scalar is equal to the scalar multiplied by the image of the input. \(T(αu)=αT(u)\)

In this case, the function is T: R3 → R3 , T(x, y, z) = (z, y, x)

Let's verify the two properties of a linear transformation:

Let u = (a, b, c) and v = (d, e, f) be any vectors in R3 Then,

T(u+v)=T(a+d, b+e, c+f)=(c+f, b+e, a+d)

and T(u)+T(v)=(c, b, a)+(f, e, d)=(c+f, b+e, a+d)

As T(u+v) = T(u) + T(v) for any u and v in R3, the function T preserves addition.

Hence, it is a linear transformation.

Let u = (a, b, c) be any vector in R3 and α be any scalar in R.

Then, T(αu)=T(αa, αb, αc) = (αc, αb, αa)

and αT(u)=α(c, b, a) = (αc, αb, αa)

As T(αu) = αT(u) for any u in R3 and scalar α, the function T preserves scalar multiplication.

Hence, it is a linear transformation.

Standard Matrix The standard matrix A of a linear transformation T: Rn → Rm is an m × n matrix whose j-th column is the image of the j-th basis vector of Rn under T.

In this case, T is a transformation from R3 to R3, so its standard matrix A is a 3 × 3 matrix whose columns are T(e1), T(e2), and T(e3), where {e1, e2, e3} is the standard basis for R3.

Therefore,A = [T(e1) T(e2) T(e3)] = [0 0 1; 0 1 0; 1 0 0]The standard matrix A of T is [0 0 1; 0 1 0; 1 0 0]

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To compare the greater pay between a salary of $74,000 per year and an hourly rate of $40 for 80 hours every fortnight, we need to calculate the total earnings for each option.

Salary per year:

To calculate the total earnings for the salary option, we simply take the annual salary of $74,000.

Total earnings = $74,000 per year

Hourly rate:

To calculate the total earnings for the hourly rate option, we need to determine the total number of hours worked in a year. Since there are 26 fortnights in a year, and the lawyer works 80 hours per fortnight, the total number of hours worked in a year would be:

Total hours worked per year = 26 fortnights * 80 hours/fortnight = 2,080 hours

Now we can calculate the total earnings:

Total earnings = Hourly rate * Total hours worked per year

= $40/hour * 2,080 hours

= $83,200

Comparing the two options, we find that the greater pay is $83,200 from the hourly rate, which exceeds the $74,000 salary per year.

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The coordinate of the point that partitions the given line in the ratio is: (x, y) = (-44/6, 23/6)

The coordinate of the point that partitions the given line in the ratio is: (-2, 2)

The formula of the point that partitions a line segment in the ratio m:n is expressed as:

(x, y) = (mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n)

1) The ratio is 1:5 and the coordinates of the points are:

A(-9, 3) and B(1, 8)

Thus:

(x, y) = (1(1) + 5(-9))/(1 + 5), (1(8) + 5(3))/(1 + 5)

(x, y) = (-44/6, 23/6)

2) The ratio is 3:1 and the coordinates of the points are:

A(7, -4) and B(-5, 4)

Thus:

(x, y) = (3(-5) + 1(7))/(3 + 1), (3(4) + 1(-4))/(3 + 1)

(x, y) = (-2, 2)

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The value of the expression is 1

From the question,

We are to evaluate the value of the expression {[(20−32)÷(−6)]2−11}÷(−7)

To do this, we will clear the brackets one after the other.

The expression can be simplified as shown below:

{[(20−32)÷(−6)]2−11}÷(−7)

{[(-12)÷(−6)]2−11}÷(−7)

Then, we get

{[2]2−11}÷(−7)

{4−11}÷(−7)

{-7}÷(−7)

-7 ÷ -7

= 1

Hence, the value of the expression is 1

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The probability that tails appears on the next toss is 0.5

Given,

In the question:

If I toss a fair coin five times and the outcomes are TTTTT,

To find the probability that tails appears on the next toss is.

Now, According to the question:

The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.

A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T}  is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .

The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH}  or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5

Hence,  the probability that tails appears on the next toss is 0.5

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Using sine and cosine law, the value of x is 7.2 unit

Cosine law is a mathematical formula used to calculate the sides and angles of a triangle when the lengths of all three sides are known. It states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides and the cosine of their included angle.

Using cosine law, we can find the length of A which will in turn assist us in finding the value of x

a² = 12² + 10² -2(12)(10) cos80

a² = 202.32

a = √202.32

a = 14.22

Using sine law;

a / sin A = x / sin X

Substituting the values into the formula

14.22 / sin 80 = x / sin 30

x = 14.22sin30 / sin80

x = 7.2

The value of x is 7.2

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Answer: 32

Step-by-step explanation:

The line is straight meaning 180 angle. When finding B you subtract 148 by 180 which would be 32.

(B) The p-esteem is more prominent than 0.05 yet under 0.10, in this manner there is no proof of a tremendous distinction in mean hunt times on the two sites.

The p-value that was derived from the data and the significance level (alpha) that was selected for the test must be compared in order to determine the correct response.

Since the importance level isn't given in the inquiry, we'll expect a typical worth of 0.05, which is much of the time utilized in speculation testing.

A two-sample t-test can be used to test the hypothesis that the two websites have significantly different mean search times. The test statistic and its corresponding p-value can be calculated using the sample means, standard deviations, and sample sizes.

The appropriate degrees of freedom are used to calculate the p-value using statistical software or a calculator.

In this instance, we reject the null hypothesis if the calculated p-value falls below the significance level (alpha) of 0.05, assuming that the conditions for inference are satisfied. In any case, if the p-esteem is more noteworthy than or equivalent to 0.05, we neglect to dismiss the invalid speculation.

Since the importance level isn't unequivocally referenced in the inquiry, we'll expect to be alpha = 0.05.

The correct response is, as a result of this:

B) The p-esteem is more prominent than 0.05 yet under 0.10, in this manner there is no proof of a tremendous distinction in mean hunt times on the two sites.

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Answer:

A) 27

Step-by-step explanation:

\( \frac{16}{16 + 12} = \frac{63 - ?}{63} \)

➡️ \( \frac{4}{7} = \frac{63-? }{63}\)

➡️ \(63 - ? = 36\)

➡️ \(? = 27\)

Answer: Diedre collected 24 cans

Step-by-step explanation:

let x be the number of cans Diedre collected

x+36=60

x=60-36

x=24

Answer:

X’ is (3,3) and Y’ is (-3,-4)

Step-by-step explanation:

Here, we want to get the coordinates of the point XY after translation and rotation about the origin at 90 degrees

X (-3, 1 ) and Y (4,-5)

Using the translation we have

(-3, 1 + 2) and (4, -5 + 2)

= (-3,3) and (4 , -3)

Rotation about the origin, we have

(x , y) = (y , -x)

So the new set of points will be:

(3,3) and (-3, -4)

Transformation involves changing the position of a point or line or shape.

See attachment for the graph of X"Y"

The endpoints are given as:

\(\mathbf{X = (-3,1)}\)

\(\mathbf{Y = (4,-5)}\)

A translation of \(\mathbf{(x,y) \to (x,y+2)}\) means that:

\(\mathbf{X' = (-3,1+2)}\)

\(\mathbf{X' = (-3,3)}\)

\(\mathbf{Y' = (4,-5 + 2)}\)

\(\mathbf{Y' = (4,-3)}\)

A 90 degrees rotation about the origin is:

\(\mathbf{(x,y) \to (y, -x)}\)

So, we have:

\(\mathbf{X" = (3, 3)}\)

\(\mathbf{Y" = (-3, 4)}\)

See attachment for the graph of X"Y"

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Answer:

Since the graph looks like this, I would say solid line

The error Justin made in his calculation is "He should have added the values in the numerator before dividing by 2".

The correct answer choice is option B

(x + y + 5) / 2

Where,

x and y are his parents’ current heights in inches,

Mom’s height = 54 inches

Dad’s height = 71 inches

Substitute into the expression

(71 + 54 + 5) / 2

= 130/2

= 65 inches

Justin's work:

( 71 + 54 + 5 ) / 2

= 71 + 27 + 5

= 103 inches

Therefore, Justin should have added the numerators before dividing by 2.

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