Hope high school has three elective courses for social studies and four electives for science. how many ways are there for alex to select three electives from them this semester with at least one from each subject?

Answer:

f − 1  ( x )  =  x  +  12

Step-by-step explanation:

To find the inverse, interchange the variables and solve for  

y .

I hope this helps.

Answer: f^-1(x) = x + 12.

Step-by-step explanation:

1. Make f(x) = y.

y = x - 12

2. Switch the x and y variables:

x = y - 12

3. Solve for y by adding 12 on both sides:

x + 12 = y

4. Change y into f^-1(x):

f^1(x) = x + 12

I hope this is helpful! :)

The correct interpretation of r² in this scenario is "12.78% of the variability of verbal score that can be explained by the linear regression on the math score."

The correlation coefficient is a statistical measurement that estimates the power of the relationship between the relative movements of two variables. It's denoted by r, and this is always between -1 and 1.

To compute the correlation coefficient, we can use this formula:  

\(r = \frac{$(n\sum{xy})- $(\sum{x})-$ $(\sum{y})$} \frac{\sqrt{[n\sum{x^{2} -(\sum{x})^{2}][n\sum{y^{2}}- (\sum{y})^{2} }}}\)

The value for r² describes the determination coefficient and is helpful in finding the % of the variability described by a linear model

r² is a statistical measure that represents the proportion of the variability in a dependent variable (verbal score) that can be explained by the independent variable (math score).

In this case, the value of r² is 0.1278 or 12.78%, which means that 12.78% of the variability of verbal scores can be explained by the linear regression of the math scores.

The relationship between math scores and verbal scores does not account for the remaining 87.22% of the variability in verbal scores.

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Answer:

3/2 = 1/ 1/2

Step-by-step explanation:

1 1/5   divided by 4/5 is 1 1/2

Answer:

1

Step-by-step explanation:

4/5n=1-1/5n

so we collect the like terms

4/5n+1/5n=1

n=1

The driving time along this stretch was reduced by 36% for a person who always drives at the speed limit.

To calculate the percent reduction in driving time along the stretch, we need to consider the effects of both the distance decrease and the speed increase.

First, let's assume the original distance of the stretch was D. After the reconstruction, the distance is now 0.8D (since it was decreased by 20%).

Next, let's assume the original speed limit was S. After the reconstruction, the speed limit is now 1.25S (since it was increased by 25%).

To calculate the original driving time along the stretch, we would use the formula: time = distance / speed. So the original driving time would be D/S.

After the reconstruction, the driving time would be (0.8D) / (1.25S) = 0.64D/S.

To calculate the percent reduction in driving time, we can use the formula: (original time - new time) / original time * 100%.

Plugging in the values we calculated, we get:

(original time - new time) / original time * 100% = (D/S - 0.64D/S) / (D/S) * 100% = 36%.

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In linear equation, 792, which is the highest possible difference.

What are a definition and an example of a linear equation?

Let m be the digit from 2 to 8.

The larger three digit number will look like 9m1, while the smaller three digit number will look like 1m9.

Assume a three digits number lets say 189.

Then the largest possible three digit number after rearranging above number is 981.

 981 - 189 = 792

Again assume a three digits number lets say 149.

Then the largest possible three digit number after rearranging above number is 941.

 941 - 149 = 792

for m their difference is constant i.e:792, which is the highest possible difference.

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Answer:

45

Step-by-step explanation:

x,30,24,16

since,they are in proportion

x/30=24/16

16x=720

x=720÷16

x=45

therefore the value of x is 45.

Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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Answer: All the faces are rectangular.

Step-by-step explanation: A prism with three rectangular faces is called a rectangular prism. Therefore, the other faces are in the shape of rectangles.

The required cost of the meal given as a hot dog is of $6 and the hamburger is of $8.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Let's call the cost of a hot dog meal "x" and the cost of a hamburger meal "y".

From Mrs. Hammond's purchase, we know that:

x + 3y = 30   -- - - - - -(1)

From Mr. Weber's purchase, we know that:

3x + 3y = 42 - - - - - -(2)

We can use substitution to solve for one of the variables in terms of the other. If we substitute the first equation into the second equation:

3x + 3y = 42

3x + 3(30 - x)/3 = 42

3x + 30 - x = 42

2x = 12
x = 6

now,
6 + 3y = 30
3y = 24
y = 8

Thus, the required cost of the meal given as a hot dog is of $6 and a hamburger is $8.

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Answer: C. 145 degrees

Step-by-step explanation:

Using the information given above, we are now supposed to figure out the measure of angle C. Considering the two angles are supplementary, or two angles with the sum of 180°, we can finally assume that the answer is C.

Angle B + Angle C = 180°

Angle B = 35°

180° - 35° = 145°

Answer: C. 145 degrees

Answer:

H is in quadrant 1.

Step-by-step explanation:

top right is quadrant 1, and then it goes right to left from there :)

Step-by-step explanation:

A (-10, 2)

B (6, 10)

C (-8, -3)

D (-8, -8)

E (1, -5)

F (2, -4)

G (-7, 8)

H (2, 5)

I (8, -2)

and J (-7, -5)

H is in quadrant 1 or Roman number I.

it starts with the a quadrant, where x and y are both positive (upper right). and then it goes counterclockwise. upper left is II. lower left is III. lower right is IV.

this is also used for trigonometric functions.

Answer: You didn't show us the graphs so we can't tell you.

Step-by-step explanation:

The antiderivative \(F(x) of f(x) = x^4 + 2√x with F(1) = -1 is:F(x) = (1/5)x^5 + (4/3)x^(3/2) - (10/3)\)

To find the antiderivative F(x) of the function \(f(x) = x^4 + 2√x\), we need to integrate f(x) with respect to x.

\(∫(x^4 + 2√x) dx = (1/5)x^5 + (4/3)x^(3/2) + C\)

Here, C represents the constant of integration.

Given that F(1) = -1, we can substitute x = 1 into the equation for F(x) and solve for C:

\((1/5)(1)^5 + (4/3)(1)^(3/2) + C = -11/5 + 4/3 + C = -1\)

Multiplying through by 15 to clear the fractions:

3 + 20 + 15C = -15

35 + 15C = -15

15C = -50

C = -50/15

Simplifying, we get \(C = -10/3.\)

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Answer:

21.6

sorry im too late lol

The width of a lake that corresponds to segment DE if,  the length of segment BC is 12.6 meters is 21.6 meters.

A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.

Given:

The length of the line segment, BC = 12.6 meters,

Calculate the length of the line segment DE as shown below,

AD / AB = DE / BC   (The ratio of sides between the parallel lines is equal)

18.2 + 13 / 18.2 = DE / 12.6

31.2 / 18.2 = DE / 12.6

1.714 = DE / 12.6

DE = 1.714 × 12.6

DE = 21.6 meters

Thus, the length of line segment DE is 21.6 meters.

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The complete question is attached in the image below.

Answer:

\(\frac{79}{100}\)

Step-by-step explanation:

Question:

Write as a fraction in lowest terms:

Answer:

a = 79

b = 99

Answer:

The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations. Standard deviation is a measure of the dispersion of data from its average. Covariance is a measure of how two variables change together.

Answer:

V=πr2h

...................

Answer:

X=ax+2

x+ax=2

X=2/(a+1)

4.) The correct equation that represents Fred's score would be = 2+f = 16. That is option B.

5.) coefficient = 5

variable = x

constant= -8 and 12

Sally game scores= 2 + f

Fred game scores = f

The total scores of Sally = 16 points

Therefore to calculate the score of Fred = 2+f = 16

Make f the subject of formula = f = 16-2 = 14

For the given equation which is 5x - 8 = 12. The parts of the equation include the following;

Coefficient= This is the number that is used to multiple a variable. Example is the 5 attached to X.

Variable: This is part of an equation that is varying or changing which is represented by a letter such as X in the given equation.

Constant: This is a fixed quantity that doesn't vary.

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Answer:

x=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

➜-2x+4=0

➜-2x=-4

➜2x=4

➜x=4/2

➜x=2

The factored expression of 21x^7y^7z^4 + 31x^4y^4 is  x^4y^4(21x^3y^3z^4 + 31)

The expression is given as

21x^7y^7z^4 + 31x^4y^4

Express the above expression as a product

So, we have

21x^7y^7z^4 + 31x^4y^4 = 21x^3y^3z^4 * x^4y^4 + 31 * x^4y^4

Factor out x^4y^4

So, we have

21x^7y^7z^4 + 31x^4y^4 =  x^4y^4(21x^3y^3z^4 + 31)

Hence, the factored expression of 21x^7y^7z^4 + 31x^4y^4 is  x^4y^4(21x^3y^3z^4 + 31)

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Answer:

question wdym by links?

Step-by-step explanation:

The equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is y = (-5/3)x + 5.

To find the equation of a line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5), we can use the slope-intercept form of a linear equation, which is y = mx + b. Given the point (3, 0) on the x-axis, we know that when x = 3, y = 0. This gives us one point on the line, and we can use it to calculate the slope (m).

Using the slope formula: m = (y2 - y1) / (x2 - x1)

Substituting the values (0 - 5) / (3 - 0) = -5 / 3

So, the slope (m) is -5/3. Now, we can substitute the slope and one of the given points (0, 5) into the slope-intercept form (y = mx + b) to find the y-intercept (b).

Using the point (0, 5):

5 = (-5/3) * 0 + b

5 = b

The y-intercept (b) is 5. Therefore, the equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is:

y = (-5/3)x + 5

To sketch the diagram, plot the points (3, 0) and (0, 5) on the x-y plane and draw a straight line passing through these two points. This line represents the graph of the equation y = (-5/3)x + 5.

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Answer:

6

Step-by-step explanation:

Hayden uses 3 cups of water to make a broth for soup

He uses 3 times as many cups of milk

Therefore the number of broth ounces made by Hayden can be calculated as follows

= 3+3

= 6

Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

Answer:

x = 3

Step-by-step explanation:

8x- 5= 19

8x= 19+5

8x= 24

x= 24/ 8

x= 3

Answer:

10.9 feet

Step-by-step explanation:

its Pythagoras but reversed. So instead of a squared plus b squared equals c squared its (c squared)-(a squared) equals (b squared)

so (12x12) - (5x5) = 119

square root of 119 is 10.9

sorry im replying on phone i cant do exponents and stuff

Answer:

1/2

Step-by-step explanation:

There are 3 numbers greater than 2: 3, 4, 5, and 6. There are 6 numbers, so it is 3/6=1/2.