Which situation can be represented by the expression below? (-400) (2) Maggie hiked downhill 400 feet in 2 hours. Maggie hiked 400 feet uphill and then 400 feet downhill. Maggie hiked uphill less than 400 feet every hour for 2 hours. Maggie hiked downhill approximately 400 feet every hour for 2 hours.

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

No solutions

Step-by-step explanation:

Let's simplify the equation first.

12y + 48 - 4y = 8(y-6) becomes 8y + 48 = 8y - 48 (You can probably see why it has no solutions already)

Now let's subtract 8y from both sides.

48 = -48. No solutions

Answer:

Step-by-step explanation:

You can also use google wait I will answer let me first find out

The probability that the man selected at random has cancer, even though the test was negative, is actually quite low. According to the study, 94% of men who test negative do not have cancer. This means that only 6% of men who test negative actually do have cancer. So the probability that this man has cancer, despite testing negative, is only 6%.

Given the information provided, we need to find the probability that a man has cancer even though he tested negative.

1. First, note that 94% of the men with a negative test result do not have cancer.
2. Since probabilities must add up to 100%, this means that 6% (100% - 94%) of the men with a negative test result actually do have cancer.
3. If a man is randomly selected and tests negative, the probability that he has cancer is therefore 6%.

So, the probability that a man with a negative test result actually has cancer is 6%.

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Answer:

cookies = 20%

cheese sticks= 26.7%

chips= 40%

water= 13.3%

Step-by-step explanation:

there a 30 items in total.

simply take the number of each item sold and divide it by 30.

for example, for cookies:

6÷30= 0.2

to turn a decimal into a percentage, multiply by 100.

therefore, 0.2×100= 20%

hope this helps!

Answer:

20%

28 2/3%

14 1/3%

14 1/3%

Step-by-step explanation:

we know the whole is 30, so we make fractions out of the table and simplify

6/30=1/5

8/30=4/15

12/30=2/5

4/30=2/15

1/5=0.2, so the percent is 20%

4/15=28 2/3%

2/15=0.143333333 forever, so 14 1/3%

4/30=same as the second to last, 14 1/3%

The hill makes an angle of approximately 29.2 degrees with the horizontal.

To find the angle the hill makes with the horizontal, we can use the formula:

force = weight * sin(angle)

where force is the amount of force required to hold the crate, weight is the weight of the crate, and angle is the angle the hill makes with the horizontal.

Substituting the given values, we get:

8 lb = 17 lb * sin(angle)

Solving for angle, we get:

angle = sin^-1(8/17) = 29.2 degrees

Therefore, the hill makes an angle of approximately 29.2 degrees with the horizontal.

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Based on the given information:

d = {x | x is a whole number}

e = {x | x is a perfect square < 36}

f = {x | x is an even number between 20 and 30}

We can evaluate the statements:

1. 9 ∈ d: True. 9 is a whole number.

2. 4 ∈ e: True. 4 is a perfect square less than 36.

3. 35 ∈ f: False. 35 is not an even number between 20 and 30.

4. 13 ∉ d: True. 13 is not a whole number.

5. 16 ∈ e: True. 16 is a perfect square less than 36.

6. 24 ∈ f: True. 24 is an even number between 20 and 30.

7. 49 ∈ e: False. 49 is not a perfect square less than 36.

8. 25 ∉ f: True. 25 is not an even number between 20 and 30.

Therefore, the true statements based on the given information are:

1, 2, 4, 5, 6, 8.

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Answer:

C

Step-by-step explanation:

Therefore, the value of q(α) is 0.

Let p(x) = x³ + ax² + bx + c be a polynomials with distinct roots α, β, and γ, where α, β, and γ are real numbers and α, β, and γ are also roots of another polynomial q(x)

.To find: the value of q(α).

Given:p(x) = x³ + ax² + bx + c

has three distinct roots α, β, and γ such that α, β, and γ are real numbers and α, β, and γ are also roots of q(x).

The root of p(x) are:

α, β, and γThe root of q(x)

are:α, β, and γ

Since α, β, and γ are the roots of q(x),

we have:q(x) = (x - α) (x - β) (x - γ) ... (1)

Let's evaluate q(α) using equation (1)

q(α) = (α - α) (α - β) (α - γ)q(α) = 0

(Since α, β, and γ are distinct)

Therefore, the value of q(α) is 0. Hence, the correct option is (D).

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The result (recurrent value), A = sum j=1 to 89 ln(j), is true for every n. This is the desired result.

As in T(n) = T(n/2) + n, T(0) = T(1) = 1, a recurrence or recurrence relation specifies an infinite sequence by explaining how to calculate the nth element of the sequence given the values of smaller members.

We can start by proving the base case in order to demonstrate the first portion through recurrence. Let n = 1. Next, we have:

Being true, ln(a1) = ln(a1). If n = k, let's suppose the formula is accurate:

Sum j=1 to k ln = ln(prod j=1 to k aj) (aj)

Prod j=1 to k aj * ak+1 = ln(prod j=1 to k+1 aj)

(Using the logarithmic scale) = ln(prod j=1 to k aj) + ln(ak+1)

Using the inductive hypothesis, the property ln(ab) = ln(a) + ln(b)) = sum j=1 to k ln(aj) + ln(ak+1) = sum j=1 to k+1 ln (aj)

(b), we can use the just-proven formula:

A = ln(1, 2,...) + ln + ln (89)

= ln(j=1 to 89) prod

sum j=1 to 89 ln = ln(prod j=1 to 89 j) (j).

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Answer:

The Answer should be 10 m/sec.  

Step-by-step explanation:

100 (meters) ÷ 10 (sec. or the time it took) = 10 meters/second

Please mark brainliest!

Speed is defined as the rate of change of distance with respect to time. The rate of change for skydiver is 10 meters per second.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that a skydiver falls 100 meters in 10 seconds. Therefore, the speed or the rate of change for the skydiver can be written as,

Rate of change = Distance / Time

                          = 100 meters / 10 seconds

                          = 10 meters per second

Hence, the rate of change for skydiver is 10 meters per second.

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It is false that If point (x,y) is rotated 90 degrees about the origin, the resulting point is (-y, -x) as it will lie in the II quadrant and IV quadrant and neither will become (-y,-x) as it lies in III quadrant.

The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal parts (the vertical number line). Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants. There are four quadrants in a graph because it is the region enclosed by the x and y axes. To clarify, the x and y axes divide the two-dimensional Cartesian plane into four quadrants. Quadrant I is in the top-right corner, followed by Quadrants II through IV in a counterclockwise direction.

Here,

Take the point (2, 3)  = (x, y)

Rotated 90º clockwise (3, -2) = (y, -x)

Rotated 90º counter clockwise (-3, 2) = (-y, x)

Neither rotation becomes (-3, -2)

The given statement is false as It is untrue that if point (x,y) is rotated 90 degrees around the origin, the resulting point is (-y, -x), as neither will become (-y,-x), as both will lie in the II and IV quadrants.

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The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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Answer:

You can ask your school guidance counselor, a parent, or trusted adult. You can ask them by telling them what is going on and let them tell you what to do. You should thank them too because they helped you with a problem that you have.

The probability that of the 5 cards drawn, at least 1 is a face card is approximately 0.8312, or 83.12%.

To calculate the probability, we'll first find the probability that none of the 5 cards drawn is a face card, and then subtract that from 1 to get the probability that at least 1 is a face card.

In a standard deck of 52 playing cards, there are 12 face cards (4 kings, 4 queens, and 4 jacks). The probability of drawing a face card is therefore 12/52 = 3/13.

The probability of not drawing a face card in one draw is 1 - (3/13) = 10/13.

Since each draw is independent, the probability of not drawing a face card in all 5 draws is (10/13)^5.

Now, we can find the probability that at least 1 is a face card:

Probability of at least 1 face card = 1 - Probability of no face card

Probability of at least 1 face card = 1 - (10/13)^5 ≈ 0.8312

As a result, the likelihood that at least one of the five cards chosen is a face card is around 0.8312, or 83.12%.

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Never. Correlation coefficients are used to measure the strength of a linear relationship between two variables, not to prove cause and effect. To determine causation, it is necessary to conduct an experiment or study in which the independent variable is manipulated and the dependent variable is measured.

Correlation coefficients are used to measure the strength of a linear relationship between two variables. They can measure the degree to which variables move together, but they cannot be used to prove cause and effect. To determine causation, it is necessary to perform an experiment or study in which one variable is manipulated and the other is measured. This allows researchers to control for confounding variables and to determine if the manipulation of the independent variable had a direct effect on the dependent variable. Therefore, correlation coefficients cannot be used to support a claim of cause and effect.

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Answer:

e=9

sorry thats all i know:(

Step-by-step explanation:

Answer: b.) 3x^2+9 factorized= 3(x^2 +3)

c) solving inequality: subtract 3 on both sides, take that answer and divide by 2 on both sides. answer is x>7

Step-by-step explanation:

the answer is 1097 because I calculated every single thing.

The height of the oak tree in front of Igor's castle is approximately 57.27 ft. To find the height of the oak tree, we can use the principle of similar triangles.

The height of the tree can be determined by comparing the ratio of the height of Igor to the distance between Igor and the mirror with the ratio of the height of the tree to the distance between the mirror and the tree.

Let's represent the height of the oak tree as 'h'. According to the problem, Igor's eye height is 4.5 ft, and he is 5.5 ft away from the center of the mirror. The mirror is placed 70 ft from the tree.

Using the similar triangles concept, we can set up the following proportion:

(height of Igor) / (distance between Igor and mirror) = (height of tree) / (distance between mirror and tree)

Plugging in the given values, we have:

4.5 ft / 5.5 ft = h / 70 ft

Solving this proportion, we find:

(4.5 ft * 70 ft) / 5.5 ft = h.

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Answer:

Step-by-step explanation:

(-8 + (-3))/2= -11/2 = -5.5

(-9+(-1))/2= -10/2 = -5

(-5.5, -5): midpoint

I am not completley sure but i think its (3)

The inverse of f(x) is f^(-1)(x) = (x + 2)/6.

(a) The given function is f(x) = 6x - 2. To find the inverse of f, we interchange x and y and solve for y.

Step 1: Replace f(x) with y:

y = 6x - 2

Step 2: Swap x and y:

x = 6y - 2

Step 3: Solve for y:

x + 2 = 6y

(x + 2)/6 = y

Therefore, the inverse of f(x) is f^(-1)(x) = (x + 2)/6.

To check the answer, we can verify if f(f^(-1)(x)) = x and f^(-1)(f(x)) = x. Upon substitution and simplification, both equations hold true.

(b) The domain of f is all real numbers since there are no restrictions on x. The range of f is also all real numbers since the function is a linear equation with a non-zero slope.

The domain of f^(-1) is also all real numbers. The range of f^(-1) is all real numbers except -2/6, which is excluded since it would result in division by zero in the inverse function.

(c) On the same coordinate axes, the graph of f(x) = 6x - 2 would be a straight line with a slope of 6 and y-intercept of -2. The graph of f^(-1)(x) = (x + 2)/6 would be a different straight line with a slope of 1/6 and y-intercept of 2/6. The graph of y = x is a diagonal line passing through the origin with a slope of 1.

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The dimensions of the rectangle are 10 feet (length) and 8 feet (width).

To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,

follow these steps:

1. Let the length of the rectangle be L feet and the width be W feet.

2. According to the given information, W = L - 2.

3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.

4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).

5. Solve the quadratic equation: 80 = L² - 2L.

6. Rearrange the equation: L² - 2L - 80 = 0.

7. Factor the equation: (L - 10)(L + 8) = 0.

8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).

9. Substitute L back into the equation for W: W = 10 - 2 = 8.

So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).

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The angle of rotation about O that maps IJ to RF is 120 degrees.

A hexagon is a polygon with six sides and six angles. It is a two-dimensional geometric shape that can be formed by connecting six straight line segments, where each segment intersects two others to form the six corners or vertices of the shape.

To find the angle of rotation about O that maps IJ to RF, we can follow these steps:

Note that IJ and RF are opposite sides of the regular hexagon, and since the hexagon is regular, they have the same length.

Since the hexagon is regular, we know that the angle between adjacent sides is 120 degrees.

Therefore, the angle between IJ and one of the dashed line segments must be 60 degrees (since it is the supplement of the 120 degree angle).

Let x be the angle of rotation about O that maps IJ to RF.

After the rotation, the angle between IJ and the dashed line segments will be x + 30 degrees (since the dashed line segments form 30 degree angles).

Similarly, the angle between RF and the dashed line segments will also be x + 30 degrees after the rotation.

Since IJ and RF are opposite sides of the regular hexagon, they form a 60 degree angle.

Therefore, we have the equation:

\(2(x + 30) + 60 = 360\)

The left-hand side of the equation represents the sum of the angles around O after the rotation. The factor of 2 comes from the fact that each of the dashed line segments contributes to the angle twice.

Simplifying the equation, we get:

\(2x + 120 = 360\)

\(2x = 240\)

\(x = 120\)

Therefore, the angle of rotation about O that maps IJ to RF is 120 degrees.

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Answer:

11

Step-by-step explanation:

6/x + 9

Let x= 3

6/3 +9

2 +9

11

Answer:

11

Step-by-step explanation:

6/3 + 9

2 + 9

11

Answer:

can we explain it

Step-by-step explanation:

Answer:

61° , 151° , 12°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

∠ 1 + 29° + 90° = 180°

∠ 1 + 119° = 180° ( subtract 119° from both sides )

∠ 1 = 61°

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

∠ 2 and 29° are adjacent angles on a straight line and sum to 180° , then

∠ 2 + 29° = 180° ( subtract 29° from both sides )

∠ 2 = 151°

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

Using sum of angles in a triangle = 180°

∠ 3 + 17° + 151° = 180°

∠ 3 + 168° = 180° ( subtract 168° from both sides )

∠ 3 = 12°

Answer:

each person got (x + j) / 8 carrots

Step-by-step explanation:

The parametric curves that trace out the unit circle are (a) (cost, sin t) and (c) (sin t, cos t).

(a) In the parametric curve (cost, sin t), the x-coordinate is given by cost and the y-coordinate is given by sin t. By using the trigonometric identity cos^2 t + sin^2 t = 1, we can see that the x-coordinate squared plus the y-coordinate squared equals 1, which represents the equation of the unit circle. Therefore, this curve traces out the unit circle.

(c) Similarly, in the parametric curve (sin t, cos t), the x-coordinate is given by sin t and the y-coordinate is given by cos t. Again, by applying the trigonometric identity sin^2 t + cos^2 t = 1, we find that the equation of the unit circle is satisfied. Hence, this curve also traces out the unit circle.

(b) The parametric curve (sin 2t, cos t) does not trace out the unit circle. The x-coordinate is given by sin 2t, which has a period of π. As a result, the curve does not cover the entire unit circle.

(d) Similarly, the parametric curve (sin 2t, cos 2t) also does not trace out the unit circle. The x-coordinate is given by sin 2t, which has a period of π. Hence, the curve only covers half of the unit circle.

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