Ashley and Stephanie went shopping for Father's Day at the same store. Stephanie spent $105 for 2 t-shirts and 3 pairs of shorts. Ashley bought 3 t-shirts and 2 pairs of shorts for $95. What was the cost of a pair of shorts? (Hint The equation for Ashley's purchases is 3T+2S = 95 First determine the equation for Stephanie's purchases and then solve the system of equations using matrices) a. $10 for shorts b. $17 for shorts c. $25 for shorts d. $15 for shorts

Answer:

(f + g)(-2) = 2

Step-by-step explanation:

Step 1: Define

f(x) = 5 - x

g(x) = 2x - 1

Step 2: Find (f + g)(x)

(f + g)(x) = 5 - x + 2x - 1

(f + g)(x) = x + 4

Step 3: Find (f + g)(-2)

(f + g)(-2) = -2 + 4

(f + g)(-2) = 2

Answer:

Graph in attachment and Solution set is x € (⅕ ,-∞)

Step-by-step explanation:

We need to graph the solution of a inequality . For graph refer to the attachment . Let's solve out and find the solution set of inequality .

=> 5/3x < 10

=> 5 < 10 * 3x

=> 5 < 30 x

=> 5 /30 < x

=> x > 1/5

Basically we need to plot here x > 1/5 . The solution set will be , x € ( 1/5 , -∞ )

Answer:

Step-by-step explanation:

The rising time of a star depends on its right ascension and the latitude of the observer.

In this case, since both stars have the same declination, their altitude above the horizon at any given time will be the same. Therefore, the star with the smaller right ascension will rise first.

Since star A has a right ascension of 5h and star B has a right ascension of 2h, star B will rise first. This is because the Earth rotates from west to east, causing the stars to appear to move from east to west in the sky. As a result, stars with smaller right ascensions will appear to rise earlier in the east than those with larger right ascensions.

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Answer:

See this: https://brainly.com/question/16788347

Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

s

SO, LAST IS CORRECT

?ARK ME AS BRAILIEST

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

The input value that produces the same output value for f(x) and g(x) on the graph is x = 1.To find the input value that produces the same output value for both functions, we need to determine the x-coordinate of the point(s) where the two lines intersect.

These points represent the values of x where f(x) and g(x) are equal.

The line labeled f(x) passes through the points (-2, 4), (0, 2), and (1, 1). Using these points, we can determine the equation of the line using the slope-intercept form (y = mx + b). Calculating the slope, we get:

m = (2 - 4) / (0 - (-2)) = -2 / 2 = -1

Substituting the point (0, 2) into the equation, we can find the y-intercept (b):

2 = -1(0) + b

b = 2

Therefore, the equation for f(x) is y = -x + 2.

Similarly, for the line labeled g(x), we can use the points (-3, -3), (0, 0), and (1, 1) to determine the equation. The slope is:

m = (0 - (-3)) / (0 - (-3)) = 3 / 3 = 1

Substituting (0, 0) into the equation, we can find the y-intercept:

0 = 1(0) + b

b = 0

Thus, the equation for g(x) is y = x.

To find the input value that produces the same output for both functions, we can set the two equations equal to each other and solve for x:

-x + 2 = x

Simplifying the equation:

2x = 2

x = 1.

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Answer:

$725

Step-by-step explanation:

First, find how much money she made from selling 65 cups:

65(15)

= 975

Subtract the $250 that she spent on the bag of grapes:

975 - 250

= 725

So, her profit was $725

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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The expected value of betting $5 on tails with a weighted coin that lands on heads 80% of the time is -$1. This means that on average, you can expect to lose $1 per bet in the long run.

To calculate the expected value, we multiply each possible outcome by its respective probability and sum them up.

Let's consider the two possible outcomes:

1. You win the bet (tails) with a probability of 20%. In this case, you will win three times the amount you bet, which is $5. So the value for this outcome is 3 * $5 = $15.

2. You lose the bet (heads) with a probability of 80%. In this case, you will lose the amount you bet, which is $5. So the value for this outcome is - $5.

Now we can calculate the expected value:

Expected Value = (Probability of Outcome 1 * Value of Outcome 1) + (Probability of Outcome 2 * Value of Outcome 2)

Expected Value = (0.2 * $15) + (0.8 * - $5)

Expected Value = $3 - $4

Expected Value = -$1

Therefore, the expected value of betting $5 on tails with a weighted coin that lands on heads 80% of the time is -$1. This means that on average, you can expect to lose $1 per bet in the long run.

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Based on the team combination, the number of ways the team can be formed is  861,029,868,672 ways.

For the first team with 9 members, we need to select 9 members out of 32, which can be done in C(32, 9) ways.

Similarly, for the second team with 6 members, we need to select 6 members out of the remaining 32 - 9 = 23 members, which can be done in C(23, 6) ways.

For the third team with 7 members, we need to select 7 members out of the remaining 23 - 6 = 17 members, which can be done in C(17, 7) ways.

Finally, for the fourth team with 10 members, we need to select 10 members out of the remaining 17 - 7 = 10 members, which can be done in C(10, 10) ways.

Total number of ways = C(32, 9) × C(23, 6) × C(17, 7) × C(10, 10)

Using the combination formula C(n, r) = n! / (r! * (n - r)!), we can calculate the combinations:

Evaluating these expressions, we find:

C(32, 9) = 32,468,436

C(23, 6) = 1,352,128

C(17, 7) = 19,448

C(10, 10) = 1

Now, we can calculate the total number of ways:

Total number of ways = 32,468,436 × 1,352, 128 × 19,448 × 1

Total number of ways ≈ 861,029,868,672

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The equation which is equivalent to the given equation; 2/3 a - 7 = 1/3 as required to be determined is; 2a - 21 = 1.

It follows from the task content that the correct form of the given equation is; 2/3 a - 7 = 1/3.

Therefore, in a bid to find an equivalent equation; one must multiply both sides of the equation by 3 so that we have;

2a - 21 = 1.

On this note, it can be inferred that the equation which is equivalent to the given equation is; 2a - 21 = 1

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Answer:

Step-by-step explanation:

The graph is a line Then it has an equation of the form : y = my + p

where m is the slope and p is the y-intercept.

the line crosses the y-axis at the point (0,6) then

p = 6

the line is going down then

m is negative

the only provided equation that verify: m < 0 and p = 6 is  y = -2x + 6

Answer:

y = -2x + 6

Step-by-step explanation:

A. The cost of 2 hamburgers is $2.75 x 2 = $5.50.

The cost of 1 bag of chips is $1.50.

The cost of 1 soda is $1.25.

Therefore, the total cost of 2 hamburgers, 1 bag of chips, and 1 soda is:

$5.50 + $1.50 + $1.25 = $8.25.

B. If the student pays with a $10 bill, the amount of change he will receive is the difference between $10 and the total cost of the food:

$10 - $8.25 = $1.75.

Therefore, the student will receive $1.75 in change.

Answer:

the window would be 72ft²

Step-by-step explanation:

A window is rectangular in shape.

the area of a rectangle is give as length * breadth

but this question say that the manufacturer wants to enlarge the window by 1.5

therefore we are going to multiply the length by 1.5 and the breadth also by 1.5 to get the new area of the bigger window.

length = 8 * 1.5

= 12

width = 4 * 1.5

= 6

The new area would be = l * b

= 12 * 6

= 72ft²

Answer:

8.25 or 8 \(\frac{1}{4} \\\)

Step-by-step explanation:

The weighted average rating for movie 3285 can be calculated by multiplying each rater's similarity with the given rating and then dividing the sum by the total sum of similarities.

In this case, we have two raters with similarity values of 15 and 30, respectively. For the first rater with an ID of 30, the similarity value is 15 and the given rating for movie 3285 is 7.0. Therefore, the contribution of this rater to the weighted average rating is (15 x 7.0) = 105.0.

For the second rater with an ID of 20, the similarity value is 30 and no rating is given for movie 3285. Therefore, the contribution of this rater to the weighted average rating is 0. The total sum of similarities is 15 + 30 = 45.0. Thus, the weighted average rating for movie 3285 is (105.0 + 0) / 45.0 = 2.33.

So, the weighted average rating for movie 3285 is 2.33. It's important to note that this calculation assumes that these are the only two raters who rated the movie, and that their similarity values accurately reflect their taste in movies.

we'll use the following formula: Weighted Average = (Rating1 * Similarity1 + Rating2 * Similarity2) / (Similarity1 + Similarity2), Plugging in the values: Weighted Average = (15 * 7.0 + 30 * 30.0) / (7.0 + 30.0)
Weighted Average = (105 + 900) / 37
Weighted Average = 1005 / 37
Weighted Average ≈ 27.16

So, the weighted average rating for the movie with ID 3285 is approximately 27.16.

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Answer:

the answer is not me

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

A triangle totals to 180 degrees.

1) 64+45= 109

Because its the exterior you don't really need to do extra work but

180-109=71 Aka the side you don't need

180-71=109

Answer:

number of action figures = 3 + 6(n-1)

at n = 9: number of action figures = 51

Step-by-step explanation:

first row: 3

second row: 6 more than the row before it (3) = 6 + 3 = 9

third row: 6 + 9 = 15

arithmetic series: \(a_n = a_1 + (n-1)d\), where

\(a_n\) is the nth term in the output

\(a_1\) is the first output

n is the input

d is the difference between terms

here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.

the first output, in the first row, is 3

the difference between the number of action figures in each row is 6

thus, our formula is

\(a_n = 3 + (n-1)6 = 3 + 6(n-1)\)

when the row is 9, the number of action figures is equal to

3 + 6(9-1) = 3 + 6 * 8 = 51

The ratio in the form of 1 :n is 1:300.

Ratio of two number A and B is the comparison of A with respect to B and when two ratios are equal they are said to be in proportion.

It is given that a ratio is

6mm : 180cm

It has to be simplified in the form of

1:n

1 cm = 10mm

therefore

180 cm = 1800 mm

6mm:180cm = 6/ 1800

= 1/300

Therefore the ratio in the form of 1 :n is 1:300.

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I assume that 0 means theta in your post.

I will use x for 0 and then back-substitute at the end of the math work.

As you know, tan x = opposite/adjacent.

So, 3/4 = opposite side/adjacent side.

We are in quadrant 1. In quadrant 1 all trigonometric functions are positive.

We need to find the hypotenuse of the right triangle formed in quadrant 1 using the Pythagorean Theorem.

Do you remember the Pythagorean Theorem?

Here it is: a^2 + b^2 = h^2, where a = b = side of right triangle and h = hypotenuse.

Let a = 3

Let b = 4

We need to find h.

(3)^2 + (4)^2 = (h)^2

9 + 16 = (h)^2

25 = (h)^2

Taking the square root on both sides of the equation, we find h to be 5. All parts of the right triangle in quadrant 1 have been found.

You want to find cos x. What is cos x in terms of any right triangle? You know from class that cos x = adjacent side/hypotenuse.

Knowing this fact, cos x = 4/5.

Back-substitute for x.

Answer: cos (0) = 4/5.

I hope this helps.

If you just type that exact equation into a calculator it gives you the same answer as well

Answer:

You get -11.9 from -6.7+(-5.2) because you are adding 2 negative numbers. Just forget the negative signs are there when your adding negatives. 6.7 + 5.2 = 11.9 and then just add the negative in front and that's how you get your answer -11.9

Hope this helped!

A standardized test statistic is a value obtained by transforming a test statistic from its original scale to a standard scale, usually using the standard normal distribution.

In hypothesis testing involving proportions, the most commonly used standardized test statistic is the z-score. The z-score measures how many standard deviations a sample proportion is from the hypothesized population proportion under the null hypothesis. It is calculated as:

z = (p - P) / sqrt(P(1 - P) / n)

where p is the sample proportion, P is the hypothesized population proportion under the null hypothesis, and n is the sample size.

The resulting z-value can then be compared to critical values from the standard normal distribution to determine the p-value and make a decision about the null hypothesis.

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Answer:

The 1st one is A and the  2nd one is C

Step-by-step explanation:

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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Answer:We'll call the number of movies you rent \begin{align*}x\end{align*} and the total cost of renting movies for a year \begin{align*}y\end{align*}. ... pay per year and the rental fee is the dollar amount you pay when you rent a movie. ... The lines cross because the price of rental per movie is different for the two ...

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Step-by-step explanation:

Answer:

The prices of the two services are the same when two movies have been rented

Step-by-step explanation:

We can figure out at what point the two services cost the same by using the y=mx+c formula

James:

y=2x+6

Sarah:

y=3x+4

We then figure out at what point are the two services the same by making the equations equal each other and then solve from their

3x+4=2x+6

3x+4-2x=2x+6-2x

x+4-4=6-4

x=2

Therefore the price of the two services are the same when 2 movies have been rented

here to help!!

Step-by-step explanation:

by J Orloff · Cited by 3 — We have shown that a line or circle in x, y is transformed to a line or circle in u, v. This shows that inversion maps lines and circles to lines and circles

Answer:

it would be -3i and 3i  of and not half (half circle as factoring -9 would be -6 /2  =-3   = 3 sq rt f(x) -3 = x/2 where x stays 1     sqrt  of 1  * 3 -3 = 0 and here is a low line ascending curve see photo

Step-by-step explanation:

Note that any positive real number has two square roots, one positive and one negative. For example, the square roots of 9 are -3 and +3, since (-3) 2 = (+3) 2 = 9. Any nonnegative real number x has a unique nonnegative square root r; this is called the principal square root  The 2nd root of 9, or 9 radical 2, or the square root of 9 is written as -3

The expression that represents the sum of the arithmetic series that has a first term of -12, a common difference of +7 and a number of terms of 5 is the option with the following;

An arithmetic series one that consists of the sum of an arithmetic sequence, such that each term of the series is obtained from the previous term by the addition or subtraction of a constant.

The series in the question is; -12 + (-5) + 2 + 9 + 16

The series in therefore a series of an arithmetic sequence

The equation of the series when the first term is -12 can therefore be presented as follows;

-12 + 7·k

Where;

-12 is the first term, 7 is the common difference, n is the number of terms, and k = n - 1

The above values for the terms of the series is obtained by using values of k that range from k = 0 to k = 4

The expression that represents the series is therefore the option;

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