Matthew scored −33 points in his turn at a video game. In Genevieve's turn, she scored fewer points than Matthew.

Use absolute value to describe Genevieve's score as a loss.

The simplified form of (7 - 7 sin(x))(7 + 7 sin(x)) is either 49 - 49 sin^2(x) or 49 cos^2(x). Both forms are equivalent, depending on whether you prefer to express it in terms of sin(x) or cos(x).

To perform the multiplication and simplify the expression (7 - 7 sin(x))(7 + 7 sin(x)), we can apply the formula for the difference of squares, which states that (a - b)(a + b) = a^2 - b^2.

Using this identity, we have:

(7 - 7 sin(x))(7 + 7 sin(x)) = (7)^2 - (7 sin(x))^2

Simplifying further, we obtain:

49 - 49 sin^2(x)

Another way to express this result is by applying the Pythagorean identity sin^2(x) + cos^2(x) = 1. We can rewrite sin^2(x) as 1 - cos^2(x):

49 - 49 sin^2(x) = 49 - 49(1 - cos^2(x))

Simplifying again, we get:

49 - 49 + 49 cos^2(x) = 49 cos^2(x)

Therefore, the simplified form of (7 - 7 sin(x))(7 + 7 sin(x)) is either 49 - 49 sin^2(x) or 49 cos^2(x). Both forms are equivalent, depending on whether you prefer to express it in terms of sin(x) or cos(x).

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Answer:

C- 42

Step-by-step explanation:

Answer:

C. x=42

Step-by-step explanation:

16 + 3x + y = 180

126 + 16 + y = 180

y = 38

16 + 3x + 38 = 180

54 + 3x = 180

3x = 126

x=42

Answer:

Your answer is -11

Step-by-step explanation:

85-96=-11

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Answer:

a = 6

b = 5

c = -4

Step-by-step explanation:

(2x-1)(3x+4) = \(6x^{2}\)+8x-3x-4 = \(6x^{2}\)+5x-4

If the equation is \(ax^{2}\)+bx+c, then the values of a, b, and c, are 6, 5, and -4 as it makes the equation true.

Answer:    1.y=  -2  2. y=2

Step-by-step explanation:

Answer:

this is very easy its 24.50

Step-by-step explanation:

just add 6.10 one time and 4.60 4 times

We need to determine the percentage of variation in the infant mortality rate that is not explained by the explanatory variables in the model, given that R2 = 0.968 and adjusted R2 = 0.954.

R2, also known as the coefficient of determination, represents the proportion of the total variation in the dependent variable (infant mortality rate) that can be explained by the independent variables (explanatory variables) in the model.

To find the percentage of variation not explained, we need to subtract the R2 value from 1:

1 - R2 = 1 - 0.968 = 0.032

Now, multiply by 100 to convert the decimal to a percentage:

0.032 * 100 = 3.2%

So, 3.2% of the variation in the infant mortality rate is not explained by the explanatory variables in the model.

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Hey there!

9 - 3x + x - 15

= 9 - 3x + 1x - 15

COMBINE the LIKE TERMS

= (9 - 15) + (-3x + 1x)

= (-3x + 1x) + (9 - 15)

= (-3x + x) + (9 - 15)

= -3x - x + 9 - 15

= -2x - 6

Therefore, your answer should be:

-2x - 6

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

THE ANSWER IS A. I GOT IT RIGHT ON EDMENTUM.

Step-by-step explanation:

A

The equation has one solution, y= 0

Answer:

1 lb/$4 is the correct answer.

Step-by-step explanation:

its  $4 per pound

Answer:

5b-5m+65

Step-by-step explanation:

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

\(\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}\)

Step-by-step explanation:

Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.

Now, the formula for the cirumference of a circle = 2πr

Circumference of the circle

= 2πr

= 2 × 3.14 × 5                      [π = 3.14]

= 31.4 feet (option E)

\(\rule{150pt}{2pt}\)

               - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond\)

          What is the circumference of the circle? (Its radius is 5 ft)

\(\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond\)

The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).

We're asked to find the circumference of the circle, which can be found using the following formula:-

❖  \(\sf{C=2\pi r}\)

Where:-

Substitute 5 for r:-

\(\sf{C=2\pi (5)}\)

On simplification,

\(\sf{C=10\pi}\)

On further simplification,

\(\sf{C=31.4\:feet}\)

So we conclude that the right option is:-

\(\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark\)

       -- - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -

Answer:

x= -4 and y= -1 on option b

Answer:

-3

Step-by-step explanation:

Step-by-step explanation:

Simplifying

(3h + 18) = (15h)

Reorder the terms:

(18 + 3h) = (15h)

Remove parenthesis around (18 + 3h)

18 + 3h = (15h)

Solving

18 + 3h = (15h)

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '(-15h)' to each side of the equation.

18 + 3h + (-15h) = (15h) + (-15h)

Combine like terms: 3h + (-15h) = -12h

18 + -12h = (15h) + (-15h)

Combine like terms: (15h) + (-15h) = 0

18 + -12h = 0

Add '-18' to each side of the equation.

18 + -18 + -12h = 0 + -18

Combine like terms: 18 + -18 = 0

0 + -12h = 0 + -18

-12h = 0 + -18

Combine like terms: 0 + -18 = -18

-12h = -18

Divide each side by '-12'.

h = 1.5

Simplifying

h = 1.5

y₁ and y₂ are linearly independent and constitute the fundamental set of solutions of the given differential equation. Hence, the solution of the differential equation is y(x) = c₁x + c₂xeᵡ,  where c₁ and c₂ are arbitrary constants.

Given differential equation:  x²y'' - x(x + 2)y' + (x + 2)y = 0, x > 0;  

And, y₁ = x, y₂ = xeᵡ

In order to verify whether y₁ and y₂ are solutions of the given differential equation or not, we can substitute the value of y₁ and y₂ in the given differential equation and check if they satisfy the given equation or not. i.e.,

For y₁ = x  

Here,  y₁ = x

Therefore, y₁′ = 1, and y₁″ = 0

Putting the values in the differential equation, we getx²y₁″ - x(x + 2)y₁′ + (x + 2)y₁= x²(0) - x(x + 2)(1) + (x + 2)x

= -x³  + x³ + 2x = 2x

Therefore, LHS ≠ RHS  Therefore, y₁ = x is not the solution of the given differential equation. Now, to check whether y₁ and y₂ constitutes the fundamental set of solutions or not, we have to check whether they are linearly independent or not. i.e., We know that the Wronskian of the given differential equation is given by W[y₁, y₂] = \begin{vmatrix} x & xe^x \\ 1 & e^x + xe^x \end{vmatrix}  = xe²

Therefore, W[y₁, y₂] ≠ 0, ∀x > 0 Therefore, y₁ and y₂ are linearly independent and constitute the fundamental set of solutions of the given differential equation. Hence, the solution of the differential equation is y(x) = c₁x + c₂xeᵡ,  where c₁ and c₂ are arbitrary constants.

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Answer:

x = -14/5

Step-by-step explanation:

Given: 8^(3x+4) = 4^(2x-1)

Rewrite with same base: (2^3)^(3x+4) = (2^2)^(2x-1)

Use exponent rules: 2^(3(3x+4)) = 2^(2(2x-1))

Eliminate bases: 3(3x+4) = 2(2x-1)

9x+12 = 4x-2

5x+12 = -2

5x = -14

x = -14/5

( I actually created a python program to do this, if you want it, I'll paste it at the bottom :L)

1- 60

2-80

3-200

4-40

5-21

(I caught the change in equations :L)

6-33

7-2

8-3

Hope this helps, if not, comment below please!!!

(The code:)

print "__________________________________"

#weird percent thingy

#num1 is first number, num2 is is the percent (no decimal)

phrase=("number is percent of finder")

print (phrase)

num1=(1)

num2=(1)

result=(num1*100/num2)

print(result)

Answer:

12 is 20% of 60

28 is 35% of 80

84 is 42% of 200

32 is 80% of 40

35% of 60 is 21

25% of 132 is 33

5% of 40 is 2

15% of 20 is 3

Step-by-step explanation:

For the first 4 situations, you need to multiply the first number by the reciprocal of the percentage as a fraction, which would be 100/(percent). Here's an example:

12 is 20% of x

x = 12*(100/20)

100/20 was used because that is the reciprocal of 20/100, which is 20% as a fraction out of 100.

For the last 4 situations, you just need to multiply the number by the percentage as a decimal. For example:

35% of 60 is x

x = 60*.35

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Answer:

A vertical line has an undefined slope. So the equation x=−5 has no defined slope and no y-intercept

Step-by-step explanation:

The probability to get a 3 or 4 in the third toss and 6 in the fourth toss is 1/18.

The sample space for a six-sided die is

{1, 2, 3, 4, 5, 6}

Hence the total number of possibilities = 6

The rolling of a die is IID that is Independently and Identically distributed.

Hence,

the result of one toss will not affect the result of the successive tosses.

Probability

= n(E)/n

= no of favorable outcomes for any event /total no. of outcomes

Here,

n = 6

Let A be the event of getting a 3 or 4 in the third toss

Let B be the event of getting 6 on the fourth toss

E(A) = {3,4}

n(A) = 2

Hence,

P(A) = 2/6

= 1/3

B = {6}

n(B) = 1

P(B) = 1/6

Since these are IID,

P(A and B) = P(A) X (B) [Property of independent events]

Hence P(A∩B) = 1/3 X 1/6

= 1/18

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The probability of passing a 10-question multiple-choice quiz by random guessing is about 2.4%.

A quiz consists of 10 multiple-choice questions, each with 6 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.

The probability of a random guess being correct for a single multiple-choice question with 6 options is 1/6, or approximately 0.17.

To find the probability of passing the quiz with a minimum passing grade of 50%, we need to calculate the probability of getting 5 or more correct answers out of 10.

This can be calculated as the sum of the probabilities of getting exactly 5, 6, 7, 8, 9, or 10 correct answers:

P(pass) = P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

where P(x) is the probability of getting exactly x correct answers.

This can be calculated using the binomial distribution and its cumulative distribution function (CDF). The result is approximately 0.024, or 2.4%.

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Answer:

i think its b

Step-by-step explanation:

i think its b

ejjdkdodid

Answer:

0.8,√2,2π

Step-by-step explanation:

Answer:

the second one, then the first, then the last one

Step-by-step explanation:

the first one is = to 1

the second one is = to 6.3

the third one is = to .8

In △JKL, segment LK is the leg opposite ∠J and segment JL is the leg adjacent to ∠J. Option B is correct.

∠J refers to angle J, which is one of the angles of the triangle △JKL.

In a triangle, the legs are the two sides that form the angle of interest.

In this case, we are interested in ∠J, so the legs are the two sides that form this angle.

The leg opposite ∠J is the side of the triangle that is not part of forming the angle ∠J or it is the side that is directly across from ∠J. In the given triangle △JKL, segment KL is the side opposite ∠J.

The leg adjacent to ∠J is the side of the triangle that is one of the two sides forming the angle ∠J.

In the given triangle △JKL, segment LJ is one of the sides that forms ∠J and is thus the leg adjacent to ∠J.

Hence, In △JKL, segment LK is the leg opposite ∠J and segment JL is the leg adjacent to ∠J. Option B is correct.

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Complete question:

In △JKL, _______ is the leg opposite ∠J and _______ is the leg adjacent to ∠J.

(A) segment LK; segment JK

(B) segment LK; segment JL

(C) segment JL; segment JK

(D) segment JK; segment LK

There are 10 centromeres if there are 20 chromatids in a cell in G1 phase.

A chromosome is a short DNA molecule that includes the entirety or a portion of an organism's genetic code. Packaging proteins can be found on the majority of eukaryotic organisms.

It is given that:

Number of chromatids = 20

There are 20 chromatids, replication has taken place, thus they should be in identical pairs of two (sister chromatids). Ten centromeres would therefore exist.

Thus, there are 10 centromeres if there are 20 chromatids in a cell in G1 phase.

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