Triangle MNP with vertices M(-7,6) N(-1,2) and P(-6,0) 270 degree clockwise

Answer:

1/6

Step-by-step explanation:

The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

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Answer:

16

Step-by-step explanation:

Answer:

  -1/2

Step-by-step explanation:

You want to know the exact value of sin(-5π/6).

The reference angle is the smallest angle its terminal side makes with the x-axis. The angle -5π/6 is a 3rd-quadrant angle, whose reference angle is ...

  -5π/6 +π = π/6

You know that the signs of the sine and cosine trig functions are negative in the 3rd quadrant. Since you have memorized the short table of trig functions (first attachment), you know the value you're looking for is ...

  sin(-5π/6) = -sin(π/6) = -1/2

__

Additional comment

The second attachment shows the functions that are positive in the different quadrants. The ones not listed are negative.

The third attachment shows the coordinates on the unit circle as (cos, sin). The angle 7π/6 is the same as the angle -5π/6.

The fourth attachment shows you can put your calculator in radian mode and have it tell you the answer.

The lengths of the three pencils form a right-triangle, and the two-step problem is:

The lengths of the pencils are given as:

6cm, 8cm and 10cm

Using the Pythagoras theorem, we have:

6^2 + 8^2 = 10^2

Evaluate the exponents

100 = 100

Hence, the lengths of the three pencils form a right-triangle

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The rhetorical appeal used by Susan B. Anthony in the speech is Ethos because she creates trust by calling her audience her friends and fellow citizens to show she's just like them.

These are techniques speakers use to prove they are reliable and their words can be tursted as they should be considered to be truth. Some rethorical appeals include:

The appeal used by Susan B. Anthony is the ethos appeal as she starts her speech by saying "Friends and Fellow-citizens: I stand before you to-night, under indictment for the alleged crime of having voted" and the first sentence show she is equal to the men she is talking to which validates her words.

Note: This question is incomplete; here is the missing excerpt:

Friends and Fellow-citizens: I stand before you to-night, under indictment for the alleged crime of having voted at the last Presidential election, without having a lawful right to vote. It shall be my work this evening to prove to you that in thus voting, I not only committed no crime, but, instead, simply exercised my citizen’s right, guaranteed to me and all United States citizens by the National Constitution, beyond the power of any State to deny.

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Answer:

\(t + \frac{13}{2} = 10 \\ t = 10 - \frac{13}{2} \\ t = \frac{7}{2} \) \\ t = 3.5

Answer:

C.

Step-by-step explanation:

60° in Radians = 1.047

Using Formula

s=rθ

s= 7(1.047)

s ≈ 7.36

Answer:

Value of given expression = 0.4628 (Approx)

Value of given expression [Upto two decimal] = 0.46 (Approx)

Step-by-step explanation:

Missing equation;

[175 - 172] / [29 / √20]

Find:

Value of given expression

Computation:

[175 - 172] / [29 / √20]

[3] / [29 / √20]

[3] / [29 / 4.4721]

[3] / [29 / 4.4721]

[3] / [6.4846]

0.4628

Value of given expression = 0.4628 (Approx)

Value of given expression [Upto two decimal] = 0.46 (Approx)

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

the correct answer is 144

Step-by-step explanation:

Hence, the measure of each interior angle is 144∘.

hope this helps

Answer:

Step-by-step explanation:

each exterior angle=360/n=360/10=36°

each interior angle=180-36=144°

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

y = 3.0453 + 29.1542x

Step-by-step explanation:

Given the data:

Sugar (X) : 5, 8, 9, 10, 15, 18, 14, 17, 20, 22, 24, 26, 30 ,30, 32

Calories (Y) : 20, 30, 60, 70, 100, 95, 70, 83, 103, 112, 130, 80, 95, 130, 112

To obtain the regression model :

General form of a regression equation :

y = c + mx

y and x are the dependent and independent variables ;

m = slope ;

Thus ;

Regression model for the data above is:

y = 3.0453 + 29.1542x

Answer:

$26

4/52 = 1/13..  the king will appear one in 13 tries... 13 tries is $26

Step-by-step explanation:

You should expect to spend $26 to win $100 playing this game.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To calculate the expected cost of playing this game until you win $100, we need to determine the probability of drawing a king on any given turn, as well as the number of times you are expected to play the game before you win.

So,

The probability of drawing a king on any given turn is 4/52, or 1/13 since there are 4 kings in a standard deck of 52 cards.

To determine the number of times you are expected to play the game before you win, we can use the geometric distribution, which models the number of trials it takes to achieve success in a sequence of independent trials, where the probability of success remains constant across trials.

The probability of winning on any given trial is 1/13, and the probability of losing is 12/13.

The expected number of trials until the first success (drawing a king) is:

= 1 / (1/13) = 13

This means that on average, you can expect to play the game 13 times before drawing a king and winning the $100 prize.

Now,

Since each game costs $2 to play, the total cost of playing the game 13 times is:

13 x $2 = $26

Therefore,

You should expect to spend $26 to win $100 playing this game.

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Step-by-step explanation:

let age of Byron be b yr old and Cindy be c yr old.

c = b + 2 --(1)

b - 8 + c - 8 = 14

b + c = 30 --(2)

sub (1) into (2):

2b = 28

b = 14

therefore Byron is 14 yr old now.

Topic: simultaneous eqns

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Answer:

10

Step-by-step explanation:

Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.

Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10

P.S: This just based on my understanding of the problem.

Answer:

B, E

Step-by-step explanation:

Both of those equations expresses the $7 and the $4 he gets every n (week).

Answer:

A

A

Step-by-step explanation:

Sorry if wrong

Answer:  879.20 km²

Step-by-step explanation:

The diameter of the big circle is 2(10) + 18 = 38

divide the diameter by 2 to get the radius (r) = 19

Area (A) = π·r²

             = π(19)²

             = 361π

The diameter of the small circle is 18

divide the diameter by 2 to get the radius (r) = 9

Area (A) = π·r²

             = π(9)²

             = 81π

The area of the shaded region is the difference between the big circle and the small circle.

\(Area_{shaded}=A_{big}-A_{small}\)

                 = 361π - 81π

                 = 280π

                 = 280(3.14)

                 = 879.20

Answer:

879.20 km²

Step-by-step explanation:

Shaded area= Area of whole circle- area of white circle

Area of circle= πr²

Radius of whole circle= 10+18/2= 19 km

Area of whole circle= 3.14*(19 km)²= 1133.54 km²

Are of white circle= 3.14*(9 km)²= 254.34 km²

Shaded area= 1133.54 km²- 254.34 km²= 879.20 km²

Answer is  879.20 km²

Answer:

Eva has 16% of the book left to read

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

400-336=64

64÷400= 0.16

0.16x100=16

16% is your answer

The simplified expression is  d/ c⁴.

To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:

Using the property of exponents as

When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:

aᵇ x aⁿ= aᵇ⁺ⁿ

When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:

aᵇ / aⁿ= aᵇ⁻ⁿ

So, cd³ c⁻⁵ x d⁻²

= c¹⁻⁵ x d³⁻²

= c⁻⁴ x d¹

= dc⁻⁴

Again from the property of exponents

a⁻ᵇ = 1/aᵇ

So,  dc⁻⁴

= d/ c⁴

Therefore, the simplified expression is  d/ c⁴.

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Answer:

the lines are NOT perpendicular because their slopes aren't negative reciprocals

Answer:

The five terms of the sequence for a_1 = -2 and a_n = 2a_(n-1) + 5 if n >= 2 are:

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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Answer:

Deniz's expected winnings if she chooses rock are $30. If she chooses paper, her expected winnings are $20. If Deniz wants the best payoff in the long run, she should choose paper.

Expected winnings for rock:

Deniz wins against scissors with probability of 30%, and loses against paper with probability of 20%, so her expected winnings are (0.3100) - (0.2100) = 30

Expected winnings for paper:

Deniz wins against rock with probability of 50%, and loses against scissors with probability of 30%, so her expected winnings are (0.5100) - (0.3100) = 20

Point C is located at (6,3).

Point Locations:

A: (1, 5)

B: (1, 3)

C: (6, 3)

D: (6, 5)

The solution of the system is then given by:

x = t[1 -1 1 0.5 0.5 0.33] + s[0 -2 1 1 -2 1]

This is the general solution of the system in the form of a sum of scalar multiples of fixed column vectors.

The system of linear equations can be written in matrix form as:

[1 0 1 2 1 3 | 1]

[2 1 2 4 0 10| 5]

[3 1 3 6 6 15| 8]

where the augmented matrix is [A | B].

To solve the system using the method of specifying appropriate free variables, we first convert the coefficient matrix into reduced row echelon form using Gaussian elimination.

In reduced row echelon form, the first non-zero element of each row (known as the leading entry) is 1, and the leading entries of lower rows are to the right of the leading entries of higher rows.

Applying Gaussian elimination to the coefficient matrix, we get:

[1 0 1 2 1 3 | 1]

[0 1 0 2 -2 7| 0]

[0 0 0 0 0 0| 0]

We can see that there are two non-zero rows, indicating that the system has two independent equations.

We can choose two of the variables to be free variables, and express the other variables in terms of the free ones.

Let's choose x1 and x3 as the free variables.

We can find x2 as follows:

x2 = -x1 - 2x3 + 7

And we can find x4, x5 and x6 as follows:

x4 = (1 - x1 - x3)/2

x5 = 1 - x1 - 2x3 + 2x4

x6 = (1 - x1 - x3 - 2x4)/3

So the general solution of the system can be expressed as a sum of scalar multiples of fixed column vectors:

x1 = t

x2 = -t - 2s + 7

x3 = s

x4 = (1 - t - s)/2

x5 = 1 - t - 2s + (1 - t - s)/2

x6 = (1 - t - s)/3

where t and s are scalars.

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Answer:

C. Any organism or virus that causes an illness

Step-by-step explanation:

Hi!

Your answer is C.

Pathogens are tiny organisms, bacteriums, and/or viruses that can give any living organism a disease. They can be really harmful, and there are many different types.