Function 1 is defined by the equation y = -2x + 10.
Function 2 is defined by the following table.
х
y
0
10
2
5
4.
0
6
-5
Which function has a greater y-intercept?
Choose 1 answer:

The Median of the data shown on the line plot is 6.5.

The median of a line plot The median is the central value in a data set that is arranged in numerical order from least to greatest. In other words, the median is the middle number of a set of data. To find the median of a set of data on a line plot, follow the steps below:

Step 1: Arrange the data in numerical order from least to greatest. In the line plot provided above, the data is already arranged in order from least to greatest. It ranges from 4 to 12.

Step 2: Determine the total number of data points. In this case, there are 8 data points.

Step 3: Identify the middle value in the data set. This is done by dividing the total number of data points by 2 (the middle point). If the number of data points is even, the median is the average of the two middle values. If the number of data points is odd, the median is the middle value itself. Since there are 8 data points in the line plot above, we have an even number of data points. The two middle values are 6 and 7, so the median is the average of these two values.

Step 4: Calculate the median. Add the two middle values (6 and 7) together and divide by 2:6 + 7 = 13 13/2 = 6.5

Therefore, the median of the data shown on the line plot is 6.5.

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The mean weight of a randomly chosen vehicle is 3500 pounds.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean.

We are given that the weight of a randomly chosen american passenger car is a uniformly distributed random variable ranging from 1,749 pounds to 4,039 pounds.

Let X= weight of the passenger car

a/q, X is u(1,749, 4,039)

we know that mean= a+b/2

so a=1,749, b=4,039

hence, mean=1,749 +4,039/2

mean=3500 pounds

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Answer:

x = −8

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

To find the area of a trapezoid we will use the following formula

A = 1/2(b1 + b2)h

Lets substitute in 3 for base1, 6 for base2, and 8 for the height of the trapezoid

A = 1/2(3 + 6)8

Now, add the value of the bases together

A = 1/2(9)8

Then Multiply the bases value by 1/2

A = 4.5(8)

Finally, we multiply our value by 8, the height

A = 36

Which brings us to our answer, 36.

Answer:

x =19

Step-by-step explanation:

that is the correct answer

Answer:

x = 19

Step-by-step explanation:

3x - 6 = 51

3x = 51 + 6

3x = 57

x = 19

^^

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

4.1 megabytes

Step-by-step explanation:

well we use the rule of three

242 megabytes  ------- 100%

x      megabytes  -------- 17.1%

(x megabytes)(100%)=(242 megabytes)(17.1%)

\(x=\frac{242*17.1}{100} \\\\x=\frac{4138.2}{100} \\\\x=4.1382\\\\x=4.1\)

so there have been downloaded 4.1 megabytes

Answer: it’s Sara paid 3

Step-by-step explanation:

The situation can be represent by the equation 1.50x + 3.00 = 9.00

Sara paid $3 for a ticket to the carnival. Carnival ride cost $1.50 each. Sara rode x rides and spent a total of $9 at carnival.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1.50x + 3.00 = 9.00

Here we have 1.50x shows x is changing factor which has constant price 1.50.

and, $3 is the price of additional thing.

Then, the best option is Sara paid $3 for a ticket to the carnival. Carnival ride cost $1.50 each. Sara rode x rides and spent a total of $9 at carnival.

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Answer:

2,8,14,20...… the 49th term is 294.

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

294

Step-by-step explanation:

formula

an=a1 +(n-1)d

n= unknown term

d= difference between each term

8=a1

14=a2

20=a3

a49=8+(49-1)×(6)

a49= 8+ 48 ×(6)

a49= 8+ 288

a49= 294

Answer:

c = -4    d = 6

Step-by-step explanation:

8 - 2d = c     4c + 3d = 2

                    4(8 - 2d) + 3d = 2

                     32 - 8d + 3d = 2

                     32 - 5d = 2

                          -5d = -30

                              d = 6

8 - 2(6) = c

8 - 12 = -4 = c

Answer: North 136.81 mph

               East: 375.88 mph

Step-by-step explanation:

Hi there,

First you are going to want to set up a triangle based on the given information. You are giving a bearing for the degrees of the triangle, so the angle for the triangle you are going to solve will be 20 degrees.

You can use either Law of Sines or SOHCAHTOA to solve, but since you are setting up a right triangle I would use SOHCAHTOA. You are trying to find the vertical and horizontal components so start with sine to find the y-value. It should look like:

sin(20)=(opposite side of the given angle/400)

It will be travelling North at 136.81 mph

Similarly, we now need to find the horizontal component. Start by using cosine. It should look like

cos(20)=(side adjacent to the given angle/400)

It should be traveling East at 375.88 mph

Hope this helps.

The north component is 137.64 mi/h and the east component is 123.12 mi/h.

To find the north and east components of the velocity, we can use trigonometry.

The velocity can be divided into two components: one in the north direction and one in the east direction. The north component is given by:

North component = Velocity x sin(θ)

where θ is the angle between the velocity vector and the north direction.

Similarly, the east component is given by:

East component = Velocity x cos(θ)

where θ is the angle between the velocity vector and the east direction.

In this case, the angle between the velocity vector and the north direction is (90° - 70°) = 20° (since the direction is given as "n 70° e", which means 70° east of north). Therefore:

North component = 400 x sin(20°) = 137.64 mi/h

The angle between the velocity vector and the east direction is 70°. Therefore:

East component = 400 x cos(70°) = 123.12 mi/h

Rounding to two decimal places, the north component is 137.64 mi/h and the east component is 123.12 mi/h.

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Answer:

11/48

Step-by-step explanation:

57.15%  is i interest rate of return would she have earned for the past year.

What exactly does "interest rate" mean?

Par value = 1000

coupon rate = 8%

no of compounding period per year = 1

interest per period = $80

number of year to maturity = 15

no of compounding period till maturity = 15

market rate of return = 12.09%

Bond purchase price = PV(RATE,NPER,PMT,FV) * -1

Bond purchase price =    $722.77

Rate of return of past year  = 57.15%

                                             = (1055.86+80-722.77)/722.77

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K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.

Therefore, the coordinate of the image of point K is K’(-2, 1).

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(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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Answer:

1/3

Step-by-step explanation:

18 is 3 times smaller than 54.

Answer:Y=15 X=9

Step-by-step explanation:

Answer:

just write it into a number problem instead of word problem, then I can solve it!! :)

Step-by-step explanation:

I can only solve it when there is a pic of it or if you write it in NUMBERS NOT WORDS. :)

Answer:

= − 1 9

Step-by-step explanation:

The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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Fred is using a visual representation of his weight loss goals by placing 20 one-pound boxes of lard in the refrigerator. He removes one box each time he successfully loses a pound.

Fred's approach of placing one-pound boxes of lard in the refrigerator and removing them as he loses weight serves as a visual representation of his weight loss goals. By placing 20 boxes initially, he symbolizes his desire to lose 20 pounds. Each time Fred successfully loses a pound, he removes one box, visually tracking his progress. This method can provide motivation and a tangible representation of his accomplishments, making his weight loss journey more concrete and achievable.

Using visual aids or symbols can be a helpful strategy in reaching goals, including weight loss. It allows individuals to have a clear visual reminder of their progress and acts as a motivating factor. By physically removing a box of lard each time he loses weight, Fred experiences a sense of accomplishment and sees the physical evidence of his efforts. This approach can help individuals stay focused, track their progress, and stay motivated throughout their weight loss journey.

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Fractions are written as the ratio of two integers. 8.4km^2 of her property are covered in trees

Fractions are written as the ratio of two integers

Given the following parameters

total area of open field = 21km^2

If 2/5 of Joys cottage property is covered with trees, the amount covered in trees is expressed as:

Amount covered in trees = 2/5 * 21

Amount covered in trees = 42/5

Amount covered in trees  = 8.4km^2

Hence 8.4km^2 of her property are covered in trees

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The given statement, "We can use the normal distribution to approximate the sampling distribution of the average (\(\bar X\)) for a small sample (n<30) even if our sample has clear outliers." is false.

Several random samples of a predetermined size are taken from the same population to generate a sampling distribution, which is a sort of probability distribution. You can better understand how a sample statistic fluctuates from sample to sample by using these distributions.

The given statement is false because when the sample size is small (n < 30) and the data have clear outliers, the normal distribution may not be a suitable approximation for the sampling distribution of the average (\(\bar X\)). In such cases, the presence of outliers can significantly affect the distribution, causing it to deviate from a normal distribution.

For small samples with outliers, it is generally recommended to use alternative methods or non-parametric tests that do not assume a specific distribution. These methods take into account the non-normal nature of the data and provide more robust and reliable results.

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Answer:

D

Step-by-step explanation:

Answer: X = 300

So it would be "D"

Answer:

it cost 80 dollars

Step-by-step explanation:

cost per bag for X brand =25 $

cost per bag for y brand = 20$

minimize Z=(25X +20 y)

further formulate the problem

the given constraints are

2x + y equal 12

2x + 9y equal 36

2x + 3y equal 24

well on the graph given plot of the constraints

the corner points are

(0;0)

(6;0)

(0;4)

(9;2.5)

minimum z occurs at (0:4)

value of Z(minimum cost)=80$

The radius of convergence of the given series is 1. The series is an alternating series, which means that we can apply the Alternating Series Test to determine the convergence of the series. The ratio test can also be used to show that the radius of convergence is indeed 1.

The given series can be written as:

∞

Σ 8(-1)^n n x^n

n=1

To find the radius of convergence, we can use the Alternating Series Test, which states that if a series is alternating (i.e., the signs of its terms alternate), decreasing, and its limit as n approaches infinity is 0, then the series converges.

In this case, the series is alternating because the signs of its terms alternate between positive and negative. To show that it is decreasing, we can take the derivative of the nth term with respect to x and show that it is negative for all n:

d/dx [8(-1)^n n x^n] = 8(-1)^n n^2 x^(n-1)

Since n^2 is always positive, the sign of the derivative is determined by (-1)^(n+1), which is negative for odd values of n and positive for even values of n. Thus, the series is decreasing for all x.

To show that the limit of the nth term as n approaches infinity is 0, we can use the ratio test. The ratio of the (n+1)th term to the nth term is:

|(8(-1)^(n+1) (n+1) x^(n+1)) / (8(-1)^n n x^n)| = |(-1)(n+1)x / n|

As n approaches infinity, this ratio approaches |-x|, which is less than 1 if |x|<1. Thus, the series converges for |x|<1.

Finally, we need to check the endpoints x=-1 and x=1 to see if the series converges at those points. At x=-1, the series becomes:

∞

Σ 8(-1)^n n (-1)^n

n=1

which is the alternating harmonic series, and we know that it converges to ln(2).

At x=1, the series becomes:

∞

Σ 8(-1)^n n

n=1

which diverges because the nth term does not approach 0 as n approaches infinity.

Therefore, the radius of convergence is 1, and the series converges for -1 < x ≤ 1.

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In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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