Choose each correct coordinate for the vertices of A’B’C
Need asap

1) Let's set a proportion to find 5 radians equivalence to degrees and then locate which quadrant

So since Quadrant IV is >270º and < 360º.

θ is in Quadrant IV

2) Let's find the Reference angle

Since the angle is in Quadrant IV, we subtract from 360º (or 2pi)

360º-286.5=73.5º

or

The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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Answer:

Proportion:  1/3=3/x

Step-by-step explanation:

The "1/3" proportion is telling us how the scale measurement relates to the real measurement.

The "3/x" describes the length of side B.

Now it is easy to figure out the answer! :D

Hope it helped!

Answer:

c

Step-by-step explanation:

i took the test mark brainlest if right

The difference between r and p.  is that r represents the sample correlation coefficient while p represents the p-value

Generally, r represents the sample correlation coefficient, which is a measure of the strength and direction of the linear relationship between two variables in a sample of data. It ranges from -1 to 1, where -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.

p represents the p-value, which is a measure of the statistical significance of the sample correlation coefficient. It represents the probability that the observed correlation occurred by chance, assuming that there is no true correlation in the population.

A p-value of less than 0.05 is often used as a threshold for determining statistical significance, meaning that the observed correlation is unlikely to have occurred by chance and is likely to reflect a true correlation in the population.

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Answer:

2 dinner roll 12 dozen roll and 15 flour

Answer:

205 dollars for the bike

Step-by-step explanation:

Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

Answer:

n = 2

Step-by-step explanation:

4-2 = 2n

\(\frac{2n}{4} =2\)

4 x 2 =  8

2 x 2 = 4

8 - 4 = 4

The catcher has to throw a ball to get out a runner trying to steal second base about 127.3 ft away.

Given is a figure of baseball field, we are asked to find the distance between home plate and second base,

Since, the field is a square so all the sides will be equal,

So, using the Pythagorean theorem,

The distance between home plate and second base = √90²+90²

= √8100+8100

= √16200

= 127.3

Hence the catcher has to throw a ball to get out a runner trying to steal second base about 127.3 ft away.

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To determine the maximum number of pens he can buy, we need to consider the total discount of $70 and the cost of each pen, which is $9.

Assume he buys an "x" number of pens.

The total discount he receives can be calculated by multiplying the number of pens by the cost of each pen:

$9x

Based on, the shopkeeper agrees to give him a total discount of $70, so we have the equation:

$9x = $70.

To determine the maximum number of pens he can buy, we need to solve for "x".

Dividing both sides of the equation by $9:

x = $70 / $9.

x= 7.77.

Therefore, the maximum number of pens he can buy is 7.

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Function f(t)∗δ(t−T) = f(t−T).

we can solve the function in the following way

1. Start with the convolution equation: f(t)∗δ(t−T).

2. Substitute the definition of the Dirac delta function: δ(t−T) = 1 when t = T, and δ(t−T) = 0 otherwise.

3. The convolution integral becomes: ∫f(t)⋅δ(t−T) dt.

4. Since δ(t−T) is 0 everywhere except at t = T, the integral simplifies to: ∫f(t)⋅δ(t−T) dt = ∫f(t)⋅1 dt.

5. The integral of 1 with respect to t is simply t: ∫f(t)⋅1 dt = f(t).

6. Therefore, the result of the convolution is f(t−T), as t is replaced with t−T in the original function f(t).

7. So, the final equation is f(t)∗δ(t−T) = f(t−T), indicating that the convolution of f(t) with the shifted Dirac delta function δ(t−T) yields f(t−T).

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A linear equation of the trend line (line of best fit) that models the data point contained in the table is y = 1.875x - 12.25.

In order to determine a linear equation of the trend line (line of best fit) that models the data point contained in the table (see attachment), we would have to first calculate the slope as shown below.

Mathematically, the slope of any linear equation can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided about the servers' collected tips (in dollars) with respect to customers, we have the following parameters:

Point (x, y) = (34, 76)

Point (x, y) = (42, 91)

Substituting the given points into the formula, we have;

Slope, m = (91 - 76)/(42 - 34)

Slope, m = 15/8

Slope, m = 1.875

At point (34, 76), the equation of this line is given by:

y - y₁ = m(x - x₁)

Where:

y - 76 = 1.875(x - 34)

y - 76 = 1.875x - 63.75

y = 1.875x - 63.75 + 76

y = 1.875x - 12.25

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Answer:

Step-by-step explanation:

Corresponding sides have same ratio in similar figures:

Correct option is A

Hi!

If a graph has no solutions, the lines will be parallel.

Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.

If a graph has infinite solutions, the lines will be the same.

If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.

SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS

Explanation:

No solution:

Infinitely many solutions:

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

Answer:

x =7

Step-by-step explanation:

3x - 9 + 12 - 6x = -18

Combine like terms

-3x +3 = -18

Subtract 3 from each side

-3x +3 -3 = -18 -3

-3x = -21

Divide each side by-3

-3x /-3 = -21 /-3

x =7

Answer:

\(x=7\)

Step-by-step explanation:

\(3x - 9 + 12 - 6x = -18\)

\(3x+ - 9 + 12+ - 6x = -18\)

\(3x+- 6x + - 9 + 12+ = -18\)

\(-3x+ 3= -18\)

\(-3x= -18-3\)

\(-3x= -21\)

\(3x=21\)

\(x=21/3\)

\(x=7\)

The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.

The p(z ≥ 2.11) is 0.0177.

To calculate the p(z ≥ 2.11), you can use a z-table to look up the z-score. This z-score falls in the area of the tail of the distribution, which means it is the area to the right of 2.11.

The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.

The p(z ≥ 2.11) is 0.0177.

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Answer:

40 feet

Step-by-step explanation:

4+4+8+4+12+8

= 40 ft.

Answer:

10 - 5i

Step-by-step explanation:

There are 126 ways to choose a gymnastics team of 4 from 9 gymnasts. This is found using the concept of combinations.

The number of ways a gymnastics team of 4 can be chosen from 9 gymnasts can be calculated using the concept of combinations. In this case, we need to calculate the number of combinations of 9 items taken 4 at a time.

The formula to calculate combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen.

In this case, we have n = 9 (number of gymnasts) and r = 4 (number of team members).

Using the formula, we can calculate the number of ways as follows:

\(9C4 = 9! / (4!(9-4)!)\\     = (9 * 8 * 7 * 6 * 5 * 4!) / (4! * 5!)\\     = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)\\     = 9 * 2 * 7\\     = 126\)

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The mean, variance and the standard deviation for the distance travelled by 10 students is computed as-

Mean  = 3.12; standard deviation = 1.8232; variance = 3.324

Total students n = 10 .

Given the information, 1, 5, 2, 3, 5, 4, 8, 1, 2, 2, 5, 1.5, and 0.8

To determine the mean, we must first add up all the information provided and divide it by the number of students.

X = 1.1 + 5.2 + 3.6 + 5.0 + 4.8 + 1.8 + 2.2 + 5.2 + 1.5 + 0.8

X = 31.2

Mean  = X/n

Mean  = 31.2/10

Mean  = 3.12

Now the standard deviation is estimated as-

S = √∑x² - [(∑x)²/n] / (n-1)

Putting the values-

s = 1.8232

standard deviation = 1.8232

The variance is estimated by -

variance = S²

S² = 1.8232²

variance = 3.324

Thus, the mean, variance and the standard deviation for the distance travelled by 10 students is computed.

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The complete question is-

In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile. Compute the sample mean, standard mean, standard deviation and variance of the data:1.1 5.2 3.6 5.0 4.8 1.8 2.2 5.2 1.5 0.8 Mean = ?, Variance = ?; Standard Deviation= ?

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

Answer:

a) 984.6080 = 984.61 to 2 decimal places

b) 984.6080 = 984.6 to 4 significant figures

c) 984.6080 = 984.608 to 3 decimal places

d) 984.6080 = 984.61 to the nearest h

Step-by-step explanation:

Answer:

• d and f

Step-by-step explanation:

• take an example of;

→ ax + by + 1

\(.\)

Total length of wire = 8.33 + 6.67 + 5.33 + ...20 terms= 100[2 - 0.8^20] / [1.2]≈ 80.99 feet Since the total length of wire required is less than the available wire, Sonja will have enough wire.

Given, Sonja cuts 100 inches for the first piece, 80 inches for the second piece, and 64 inches for the third piece. We need to find the explicit formula for the nth piece.We can see that Sonja is cutting wire in decreasing order of 20%.So, the explicit formula for the nth piece can be given by an = a1 * r^(n-1)where a1 = 100 and r = 0.8 Thus, the explicit formula for the nth piece can be given byan = 100 * (0.8)^(n-1)Now, we need to find if Sonja has enough wire for the mobile as she only has 40 feet of wire to use for the project and wants to cut 20 pieces total for the mobile using her pattern.We know that 1 inch = 0.0833 feet 100 inches = 100 * 0.0833 feet = 8.33 feet80 inches = 80 * 0.0833 feet = 6.67 feet64 inches = 64 * 0.0833 feet = 5.33 feet Now, we can find the total length of wire Sonja needs to cut 20 pieces. Therefore, she can complete the mobile using the given pattern.

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Answer:

this might help

Step-by-step explanation:

2-2=0

integers

Answer:

10 km/h

Step-by-step explanation:

I'm not really sure about this but no ones answering your question and I wanna help.

So basically to calculate the average speed you need to divide the distance travelled by time taken

But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km

Now that we have the time and distance all we have to do is find the average speed.

Average Speed = distance ÷ time

So 150 ÷ 15 = 10 km/h

Answer:

3

Step-by-step explanation:

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ​?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r