A line passes through the points (3, 15) and (7, 35). What is the slope of the line? Use the formula y-y/x-x

Answer:

To determine how the golfer ended in terms of par, tally up all of her scores and deduct them from the total par for the seven rounds.

The total par for seven rounds multiply by eighteen is 126 (assuming the course is a regular par 72).

The golfer's score in relation to par for each round is:

1 round at 3 over par = 75 (72 + 3)

2 rounds with 1 over par = 73 (72 + 1) x 2 = 146

3 rounds with 3 under par = 69 (72 - 3) x 3 = 207

1 round at 1 under par = 71 (72 - 1)

you add all the pars working above, which is

75 + 146 + 207 + 71 = 499

Her score of 499 is 27 below par (126 - 499 = -373), meaning she ended significantly below par.

Answer: 2π

Explanation

Given the radius (r = 4 ) and the arc length (s = 8π), we can use the following formula to find the angle:

where θ is the angle.

Thus, by replacing the values and simplifying we get:

The area of the triangle with sides √2, √5, √3 is 1.5 square units.

To find the area of a triangle, we can use Heron's formula, which states that the area of a triangle with sides a, b, and c is given by:

Area = √(s(s-a)(s-b)(s-c))

where s is the semiperimeter of the triangle defined as:

s = (a + b + c) / 2

In this case, the sides of the triangle are √2, √5, and √3. Let's substitute these values into the formula to calculate the area.

s = (√2 + √5 + √3) / 2

To simplify this expression, we can rationalize the denominator by multiplying both the numerator and denominator by (√2 - √3):

s = (√2 + √5 + √3) / 2 * (√2 - √3) / (√2 - √3)

s = (√2√2 + √2√5 + √2√3 - √3√2 - √3√5 - √3√3) / (2√2 - 2√3)

s = (2 + √10 + √6 - √6 - √15 - 3) / (2√2 - 2√3)

s = (2 + √10 - √15 - 3) / (2√2 - 2√3)

s = (-1 + √10 - √15) / (2√2 - 2√3)

Now, let's substitute the value of s into the area formula:

Area = √((-1 + √10 - √15)(-1 + √10 - √15 - √2 + √2 - √2)) / (2√2 - 2√3

Simplifying further:

Area = √((-1 + √10 - √15)(-1 + √10 - √15)) / (2√2 - 2√3)

Area = √((-1 + √10 - √15)²) / (2√2 - 2√3)

Area = (√(1 - 2√10 + 10 - 2√15 + 15 - 2√6 + 10√10 - 20√10 + 30√15)) / (2√2 - 2√3)

Area = (√(26 - 2√10 - 2√15 - 2√6 + 10√10 - 20√10 + 30√15)) / (2√2 - 2√3)

Area ≈ 1.5 square units

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Mrs. Sanders could give equal numbers of stamps to 2, 4, 8, or 9 students.

Equal numbers are numbers that have the same value or amount. For example, 4 and 4 are equal numbers, as they both have the same value of 4. Other examples of equal numbers include 5 and 5, 8 and 8, 10 and 10, and so on. Equal numbers are important in mathematics, as they are often used to solve equations and other mathematical problems. Equal numbers can be found in addition, subtraction, multiplication, and division equations. Equal numbers are also used in geometry, as they help to define shapes, angles, and other figures.

This is because 80 is divisible by these numbers: 80 ÷ 2 = 40, 80 ÷ 4 = 20, 80 ÷ 8 = 10, and 80 ÷ 9 = 8.8. Therefore, each group of these sizes would receive the same number of stamps.

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Answer:

6250

Step-by-step explanation:

25×250

6250 grams

hope it helps

Answer:

6,250

Step-by-step explanation:

250

x 50

--------

6,250

hope it helps

To calculate the weighted mean of student 40's exam scores with exam 1 weighted twice that of the other 3 exams, you will need to use the weights provided in the spreadsheet. First, locate student 40's scores for all four exams on the second sheet of the spreadsheet. Then, apply the weights provided to each exam score.

To weight exam 1 twice that of the other 3 exams, you will need to multiply the exam 1 score by 2 and leave the other three scores as they are. Once you have adjusted the weights accordingly, you can calculate the weighted mean using the formula:

weighted mean = (weight1 * score1 + weight2 * score2 + weight3 * score3 + weight4 * score4) / (weight1 + weight2 + weight3 + weight4)

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.

Answer:

B.5

Step-by-step explanation:

5*12=60

Answer:

more info?

Step-by-step explanation:

Answer:

Step-by-step explanation:

tanθ = opp/adj

tanC = 12/5

Answer:

Set two equations:

\(\left \{ {{x+y=50} \atop {\frac{x}{y}=\frac{7}{11} }} \right.\)

Rearrange one of the equations to find the value of a variable:

\(x+y=50\\x=50-y\)

Substitute in that value into the other equation:

\(\frac{50-y}{y}=\frac{7}{11}\)

Cross-multiply & solve for y:

\(7y=11(50-y) \\7y=550-11y\\7y+11y=550\\18y=550\\y=\frac{550}{18}=\frac{275}{9}\)

Substitute in the value to the original equation to find x:

\(\frac{x}{\frac{275}{9}}=\frac{7}{11} \\\frac{9x}{275}=\frac{7}{11} \\9(11)x=275(7)\\99x=1925\\x=\frac{1925}{99} =\frac{175}{9}\)

Therefore, the answer will be:

You can check your answers by:

\(\frac{175}{9} +\frac{275}{9} =\frac{450}{9} =50\)

\(\frac{\frac{175}{9} }{\frac{275}{9} } =\frac{175}{9} *\frac{9}{275} =\frac{175}{275}=\frac{7}{11}\)

Answer:

x = 175/9

y = 275/9

Step-by-step explanation:

Let the larger number be 'x' and smaller number be 'y'

sum of two numbers is 50.

x +y = 50 --------(I)

      x = 50 - y   -------------(II)

The larger number is divided by the smaller number we get 7/11.

\(\frac{x}{y}=\frac{7}{11}\\\\\)

Cross multiply,

11x = 7y

11x - 7y = 0 ------------(III)

Substitute x = 50 -y in equation (III)

11*(50-y) - 7y = 0  

11*50 - 11*y - 7y  = 0             {Distributive property}

550 - 11y - 7y = 0  

550 - 18 y = 0        {Combine like terms}

Subtract 550 from both sides

- 18y = -550

Divide both sides by (-18)

y = -550/-18

y = 275/9

substitute y = 275/9 in equation (III)

\(11x - 7*(\frac{275}{9})=0\\\\11x-\frac{1925}{9}=0\\\\11x =\frac{1925}{9}\\\\x=\frac{1925}{9*11}\\\\x=\frac{175}{9}\)

Answer:

OPtion B)

Step-by-step explanation:

Answer: Choice C)

y < (-1/5)x + 1

The boundary line is y = (-1/5)x+1 as it goes through the points shown. The boundary line is dashed or dotted, meaning that points on this boundary line are not in the solution set. So we will not have an "or equal to" as part of the inequality sign. More specifically, the inequality sign is "less than" because we shade below the boundary line. So that's how we end up with y < (-1/5)x+1.

Answer:

11/130

Step-by-step explanation:

The number of people who use any facility is:

N = 65 + 51 + 44 − 15 − 14 − 10 − 2(1)

N = 119

So the number of people who don't use any facility is 130 − 119 = 11.

And the probability is 11/130.

Answer:

x = 59

Step-by-step explanation:

combine all four angle measure expressions and set equal to 360°, then solve

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

6x = 354

x = 59

Answer: 14I + 15t ≤ 170

Step-by-step explanation:

Let I be the number of hours life guarding, and t be the number of hours tutoring(stated in the questions). At least is means this number is greater or equal to, which used the symbol ≤.

14I + 15t ≤ 170

Answer:

15.8 + 1.25z = $48.65

she buys 3 books.

step-by-step explanation:

total will equal to: $48.65

buys a bookmark so, it is constant = 1.25

buys z books for 15.8, so: 15.8z

solve:

15.8z + 1.25 = 48.65

15.8z = 48.65 - 1.25

15.8z = 47.4

z = 3

Answer:

4 1/2 : 2 1/4

Divide both sides by 2 1/4

2 : 1

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

3 months : 1 year

1 year = 12 months

3 : 12

Divide both sides by 3

1 : 4

4÷1×2 it the answer and questions

Answer:

0.4

Step-by-step explanation:

Answer:

44.128114

Step-by-step explanation:

Answer:

0.0274

Step-by-step explanation:

A z-score measures exactly how many standard deviations above or below the mean a data point is.

The z-score for a normal distribution is given by the formula
\(z = \dfrac{X - \mu}{\sigma}\\where\\\\X = data \;point}\\\mu = mean\\\sigma = standard\; deviation\)

Plugging in values:
X = 125
μ = 100
σ = 13

z = (125-100)/13 = 1.92308

We are asked to find the probability that the score exceeds 125

This is the same as P(z > 1.92308) which is the area to the right of z = 1.92308

P(z > 1.92308) = 0.0274 (from either the tables or calculator)

Given:

The length of the ski slope is 1250 yards.

The length of the vertical drop is 245 yards.

The objective is to find the angle of depression from the top of the ski slope to the bottom.

The above situation can be represented as,

By the property of alternate interior angles between two parallel lines, the angle of depression from the top of the ski slope to the bottom is equal to angle of elevation from the bottom of the ski slope to the top.

Now, the required angle can be calculated by.

Hence, the angle of depression from the top of the ski slope to the bottom. is 11.303 degree.

The probability of randomly picking an orange from Jeff's box of fruit is 0.25 or 25%.

To determine the probability of picking an orange from Jeff's box of fruit, we need to first understand the concept of probability. Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.

In this case, we know that Jeff has a box of fruit, and we are interested in the probability of picking an orange. To calculate this probability, we need to know the total number of fruits in the box and the number of oranges.

Assuming that Jeff's box contains a variety of fruits, we can estimate the total number of fruits in the box. Let's say there are 20 fruits in total. Now, we need to determine the number of oranges in the box. Let's say there are 5 oranges in the box.

To calculate the probability of picking an orange, we can use the following formula:

Probability of picking an orange = Number of oranges / Total number of fruits

Plugging in our numbers, we get:

Probability of picking an orange = 5 / 20

Simplifying, we get:

Probability of picking an orange = 0.25

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Answer:

The answer would be A) (-69, 15)

Solution:

Finding 1st and 2nd

m = (y2 - y1)/(x2 - x1)

m = (15 - 3 )/(6 - 3)

m = 12/3

y = 4x + b

3 = 3(3)+b

3=9+b

-9 -9

-6=b

Finding 3rd

repeat the above process for 1 and 2, so now use 2 and 3 in the equation.

m = -9/3

m=-3

y=-3x+b

15=-3(6)+b

b=-3

Step 2

Answer:

B

Step-by-step explanation:

X menas time, so we posisionate this in the axis, you begin with 2 dollars, and increase the cost with the time, hope this hlps :)

Answer:

B is your correct answer

Step-by-step explanation:

The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.

First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:

x = 1/2y + 2

x - 2 = 1/2y

2x - 4 = y

So, the inverse function is f⁻¹(x) = 2x - 4.

Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).

Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.

We can start by plugging in y = 2 into the equation for f⁻¹(x):

y = 2x - 4

2 = 2x - 4

6 = 2x

x = 3

So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

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To prove that  h be a subgroup of g. and suppose h is the only subgroup of g of order(h) h is normal in g is that it is proven by homomorphism .

This is a small contribution, however in reaction to a remark above, you may additionally clear up this with out the use of any homomorphism properties. Assume the subgroup H has order n and select out g∈g. Then, for any \(h∈H: = (ghg^-1)^n ghg^-1.ghg^1/n time.\\= gh^n g^-1 = geg ^-1 = geg ^-1 = gg ^-1 = e\)

Since H has order n. The above holds for all h∈H, so the subgroup gHg−1 has order n, so it's miles identical to H through assumption. Then each h∈H has a few h∈H such that ghg−1=h′, implying gh=h′g, so gH=H

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The statement for all integers m and n, "4 | (m²n²)" is true if and only if both m and n are even numbers.

To prove that "4 | (m²n²)" if and only if m and n are even numbers, we need to show two conditions.

1. If m and n are even numbers, then 4 divides (m²n²):

Assume m and n are even numbers, which means they can be expressed as m = 2k and n = 2l, where k and l are integers.

Substituting these values into (m²n²), we have (2k)²(2l)² = 4k²l².

Since 4 can be factored out, we can rewrite it as 4(k²l²), which shows that 4 divides (m²n²).

2. If 4 divides (m²n²), then m and n are even numbers:

Assume 4 divides (m²n²), which means (m²n²) is a multiple of 4.

To prove that m and n are even numbers, we will use proof by contradiction. Let's assume that either m or n is an odd number.

If m is an odd number, it can be expressed as m = 2k + 1, where k is an integer. Then m² = (2k + 1)² = 4k² + 4k + 1, which is not divisible by 4. Similarly, if n is an odd number, n² will not be divisible by 4.

Therefore, both m and n must be even numbers.

By proving both conditions, we have shown that "4 | (m²n²)" if and only if m and n are even numbers.

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Answer: \(80.2\ ft\)

Step-by-step explanation:

Given

Zipline begins \(h=46\ ft\) in the air

The angle of elevation is \(35^{\circ}\)

Assume the length of the cable is l

from the figure, we can write

\(\Rightarrow \sin 35^{\circ}=\dfrac{46}{l}\\\\\Rightarrow l=\dfrac{46}{\sin 35^{\circ}}\\\\\Rightarrow l=80.19\approx 80.2\ ft\)

Katie is currently 17 years old.

Let's use substitution to solve for k. We can rearrange the second equation to solve for k:

k = e + 4

Now we can substitute that expression for k into the first equation:

k - 9 = 2(e - 9)

(e + 4) - 9 = 2(e - 9)

Simplifying, we get:

e - 5 = 2e - 18

Subtracting e from both sides, we get:

-5 = e - 18

Adding 18 to both sides, we get:

13 = e

So Elena is currently 13 years old. Now we can use the second equation to find Katie's age:

k = e + 4

k = 13 + 4

k = 17

Therefore, Katie is currently 17 years old.

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Answer: The Range is 5,4,8

Step-by-step explanation:

Answer: The range is [4,8]

Step-by-step explanation:

What you want to look for is the smallest and largest y values, the smallest value is 4 and the largest is 8.

When answering a problem like this you want to put the smaller value first, so in this case, we put 4 first

So the equation for range would be something like 4 \(\leq\) y \(\geq\)  8

We use [ , ] because the brackets need that the said value is included in the data set.

Therefore we use the range equation to create the answer

[4,8]

Answer:

x = 3 or x = -1/2

Step-by-step explanation:

Solve for x:

2 x^2 - 5 x - 3 = 0

The left hand side factors into a product with two terms:

(x - 3) (2 x + 1) = 0

Split into two equations:

x - 3 = 0 or 2 x + 1 = 0

Add 3 to both sides:

x = 3 or 2 x + 1 = 0

Subtract 1 from both sides:

x = 3 or 2 x = -1

Divide both sides by 2:

Answer: x = 3 or x = -1/2

Answer:

324 calories

Step-by-step explanation:

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

The unit rate for calories per cup = calories per cup

3/4 cup serving = 81 calories

3 cups of cereal = x calories

We Cross Multiply

3/4 × x = 81 × 3

x = (81 × 3) ÷ 3/4

x = 243 × 4/3

x = 324 calories per cup

There are 324 calories in 3 cups of cereal