whats the answer pls

The requried, use the Distance Formula to find the lengths JK, JL, and KL, and then apply the Triangle Inequality Theorem.

As given in the question, points J, K, and L form the vertices of a triangle,
The distance of the sides of the triangle can be calculated by the distance formula then apply triangle inequality to check whether the given shape is a triangle or not.

Therefore, use the Distance Formula to find the lengths JK, JL, and KL, and then apply the Triangle Inequality Theorem.

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The average rate of change in horsepower per unit speed when race car increases its speed from 80 mph to 100 mph is option B. 0.61.

Function H(s) = 0. 003s² + 0. 007s - 0. 027

H(s) is the horsepower.

The average rate of change in horsepower per unit speed is ,

Slope of line that passes through two points on graph of the function H(s) corresponding to speeds of 80 mph and 100 mph.

The horsepower at 80 mph is,

H(80) = 0.003(80)² + 0.07(80) - 0.027

          = 24.773

And the horsepower at 100 mph is,

H(100) = 0.003(100)² + 0.07(100) - 0.027

           = 36.973

So, the change in horsepower over the interval of speeds from 80 mph to 100 mph is,

ΔH = H(100) - H(80)

     = 36.973 - 24.773

      = 12.2

The change in speed over the same interval is equal to,

Δs = 100 - 80

    = 20

The average rate of change in horsepower per unit speed over this interval is equal to

ΔH/Δs = 12.2/20

           = 0.61

Therefore, the average rate of change in horsepower per unit speed is equal to option B. 0.61.

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The above question is incomplete, the complete question is:

The horsepower, H(s), required for a racecar to overcome wind resistance is given by the function: H(s) = 0.003s²+0.07s-0.027, where (s) is the speed of the car in miles per hours. What is the average rate of change in horsepower per unit speed if the race car increases in speed from 80 mph to 100 mph?

A 1.64 B. 0.61 C. 12.2 D. 20.0

Answer:

If a tangent segment and a secant segment intersect outside a circle, then the square of the measure of the tangent segment equals the product of the measures of the secant segment and its external portion.

42^2 = (18 + x)(18)

1,764 = 18(x + 18)

x + 18 = 98

x = 80

So the diameter of the reservoir is 80 meters.

The diameter of the reservoir shown above can be calculated based on the intersecting secant-tangent theorem as: 80 meters.

A diameter is a straight line segment that crosses the center of a circle thereby connecting two points on its circumference and it is twice the length of the radius of a circle.

To find the diameter (x), apply the intersecting secant-tangent theorem which states that:

AB² = AC(x + CA)

Substitute:

42² = 18(x + 18)

1,764 = 18x + 324

1,764 - 324 = 18x

1,440 = 18x

1,440/18 = x

x = 80 meters.

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The statement that best explains the law of demand is:

"The quantity demanded by consumers decreases as prices rise, then increases as prices fall."

According to the law of demand, there is an inverse relationship between a good or service's price and the amount of it that customers are willing and able to buy. A good or service's quantity required drops as its price rises and an increase in quantity is seen as the price of the good or service falls. A fundamental idea in economics, this inverse relationship is predicated on the idea that consumers act rationally and aim to maximize their utility or satisfaction from consumption.

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Answer:

b.

Explanation:

The tangents of the acute angles in the right triangle are tan(A) = 7√2/8 and tan(B) = 4/7√2

From the question, we have the following parameters that can be used in our computation:

Leg 1 = 7

Leg 2 = 4√2

Hypotenuse = 9

The acute angles in the triangle are B and A

The trigonometric ratio for tan A is represnted as

tan(A) = Opposite/Adjacent

Substitute the known values in the above equation, so, we have the following representation

tan(A) = 7/4√2

So, we have

tan(A) = 7√2/8

For the other angle, we have

tan(B) = 4/7√2

Hence, the solution is tan(B) = 4/7√2

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Applying the centroid theorem, the length of DG in the triangle shown below is calculated as: DG = 34 units.

Given the following information regarding the triangle shown in the image as follows:

G is the centroid of triangle DEF

CG = (x + 5) units

DG = (3x - 2) units.

Based on the centroid theorem, we have:

DG = 2/3(CD)

Plug in the values into the equation above:

3x - 2 = 2/3 * (x + 5 + 3x - 2)

Solve for x:

3(3x - 2) = 2 * (4x + 3)

9x - 6 = 8x + 6

9x - 8x = 6 + 6

x = 12

DG = 3x - 2 = 3(12) - 2

DG = 34 units.

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The area of the silver border around the circular face is 1.63 square centimeter.

Given that, radius of circular surface is 1 cm and the length of the apothem is 1+0.2=0.2 cm.

Central angle for octagon = 360°/8

= 45°

θ= 45°/2

= 22.5°

The area of the regular octagon = na²×tanθ

= 8×1.2²×tan22.5°

= 4.77 square centimeter

Here, area of a circle = πr²

= 3.14×1²

= 3.14 square centimeter

Area of border = 4.77- 3.14

= 1.63 square centimeter

Therefore, the area of the silver border around the circular face is 1.63 square centimeter.

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The distance between Blueville from Greentown is found to be 71.35 miles.

We can solve this problem by using the Pythagorean theorem. Let x be the distance between Blueville and Greentown. Then, we have a right triangle with, one leg of length x (the distance between Blueville and Greentown) another leg of length 141 miles (the distance between Blueville and Yellowsburg) and a hypotenuse of length 158 miles (the distance between Greentown and Yellowsburg)

From Pythagorean theorem, we have,

x² + 141² = 158²

Simplifying and solving for x, we get:

x² + 19881 = 24964

x² = 5083

x ≈ 71.35

Hence, Blueville is approximately 71.35 miles from Greentown.

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Answer:

71miles

Step-by-step explanation:

It would be more interesting to look at median instead of mean or mode because it also provide information on central tendency of responses.

The response options 'underpaid', 'paid appropriately', and 'overpaid' are ordinal data.

Which means they have a natural order but no fixed numerical value.

As such it cannot meaningfully calculate a mean which requires numerical values for these responses.

The mode, which is the most common response may be of interest in some cases but it has limitations.

There may not be a clear mode since the responses are subjective and distributed across three categories.

Additionally, the mode does not capture the variability or spread of the responses.

The median however, is a useful measure of central tendency for ordinal data.

It represents the middle value when the responses are ranked in order of magnitude.

For example, if we have the following responses from 10 graduates,

underpaid, underpaid, paid appropriately, paid appropriately, paid appropriately, overpaid, overpaid, overpaid, overpaid, overpaid

The median would be 'paid appropriately' since it is the middle response when ranked in order of magnitude.

Looking at the median salary category would give us a sense of the typical response .

The graduates in terms of whether they feel their salary is appropriate or not.

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The exponential equation is solved and the function is y = 2ˣ

Given data ,

Let the x values be represented as x = { 0 , 3 , 6 }

Let the y values be represented as y = { 1 , 8 , 64 }

So , the exponential equation is given as

y = 2ˣ

when x = 0

y = 2⁰

y = 1

when x = 3

y = 2³ = 8

when x = 6

y = 2⁶ = 64

Hence , the exponential equation is y = 2ˣ

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a. The congruence statement made from the figure is triangle PQR and triangle SRQ is congruent by SSA congruence theorem

b. The congruence criteria used is SSA congruence theorem

C. the statement is completed as Δ RSQ ≅ Δ RPQ

d. The corresponding angles and sides are equal

SSA is a triangle congruence rule, but it isn't constantly sufficient to prove that two triangles are congruent.

SSA states that if  pairs of corresponding aspects of two triangles are identical in period, and the angles contrary one of the pairs of sides are identical in both triangles, then the triangles are congruent.

The sides used for the theorem according to the figure are

Side: PR ≅ QS given

Side: QR ≅ QR reflexive property

Angle: ∠ Q ≅ ∠ R

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Answer:

The domain of the function are values of x that respect the following condition: x[tex]\geq[/tex]7 (i think so lmk if is wrong)

Step-by-step explanation:

Based on the information, a15 in this progression is 32,768.

The balance existing in this account would be $4,310.67.

a. It should be noted that to ascertain the value of a15 within this sequence (2, 4, 8, 16...), we can use the formula: a15 = a1 * r^(n-1) where a1 is the initial term, r being the constant ratio, and n being the particular element to calculate. When these values are inputted, it follows that a15 = 2 * 2^14, equalling 32,768 as the result. Thus, a15 in this progression is 32,768.

Calculating Balance Based on Compound Interest:

From the problem given with P = $3,400, r = 4%, n = 4 (frequency of quarterly compounding), and t = 6, by substitution, A = 3400(1 + 0.04/4)^(4*6) then becomes A = 3400(1.01)^24 equaling A = 3400(1.268242) resolved to A = $4,310.67. Ultimately, after six years have elapsed, the balance existing in this account would be $4,310.67.

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The hexadecimal representation of the decimal number 4188.625 is 105C.

Let's apply this process to the decimal number 4188.625.

First, we divide 4188 by 16, which gives us a quotient of 261 and a remainder of 12. The remainder of 12 corresponds to the hexadecimal digit C (since 12 is equal to C in hexadecimal).

Next, we divide 261 by 16, which gives us a quotient of 16 and a remainder of 5. The remainder of 5 corresponds to the hexadecimal digit 5.

We then divide 16 by 16, which gives us a quotient of 1 and a remainder of 0. The remainder of 0 corresponds to the hexadecimal digit 0.

Finally, we divide 1 by 16, which gives us a quotient of 0 and a remainder of 1. The remainder of 1 corresponds to the hexadecimal digit 1.

Hence resulting base 16 values is 105C.

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The solution is, 32 of  1/4 cup servings are in 8 cups of cashews.

let,

x of  1/4 cup servings are in 8 cups of cashews.

Divide 8 with 1/4

i.e.

(8)/(1/4)

now, we have,

Flip the second fraction, and change the division into multiplication, then solve

we get,

(8)/(1/4)

= 8 x 4

= 32

so, x = 32

32 is the answer

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A fraction is a way to describe a part of a whole. The height of the stack is 6.38 ft.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

[tex]2 \ \dfrac{1}{2}[/tex]

[tex]= \dfrac{(2\times2 + 1)}{2}[/tex]

[tex]= \dfrac{5}{2}[/tex]

[tex]= 2.5[/tex]

Given that one box that is 3 1/4 feet tall and another box that is 2 5/8 feet tall. Now, the height of the stack will be,

Height of the stack = Height of first box + Height of the second Box

[tex]= 3 \ \dfrac{1}{4} \ \text{ft} + 2 \ \dfrac{5}{8} \ \text{ft}[/tex]

[tex]= \huge \text[\dfrac{(3\times4 + 3)}{4}\huge \text] + 2 \ \dfrac{5}{8}[/tex]

[tex]= \huge \text(\dfrac{15}{4}\huge \text) + 2 \ \dfrac{5}{8}[/tex]

[tex]= 3.75 + 2.63[/tex]

[tex]= 6.38 \ \text{ft}[/tex]

Hence, the height of the stack is 6.38 ft.

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The surface area of the square pyramid can be calculated as approximately: 105 square inches.

To find the surface area of the given square pyramid that is shown above, we can solve to find the area of each face represented by the net and find their sum all together.

The surface area = 4(area of triangular face) + area of square base

= 4(1/2 * base * height) + (side length)²

= 4(1/2 * 5 * 8) + (5)²

= 4(20) + 25

= 80 + 25

The surface area = 105 square inches.

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The value of the sine of the angle (A - B) will be 0.309.

Given that:

sin A = - 4/5

cos B = 1/3

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of A is calculated as,

sin A = - 4/5

A = 307°

The value of B is calculated as,

cos B = 1/3

B = 289°

The value of sin (A- B) is calculated as,

sin (A- B) = sin(307° - 289°) = sin 18°

sin (A- B) = sin 18°

sin (A- B) = 0.309

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Rewriting 48 - 28 using the Distributive Property and the GCF of the numbers, you get 4(5) = 20.

To rewrite 48 - 28 using the Distributive Property and the GCF of the numbers, follow these steps:
Step:1. First, find the GCF (Greatest Common Factor) of 48 and 28.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 28 are: 1, 2, 4, 7, 14, 28
The GCF of 48 and 28 is 4.
Step:2. Now, use the Distributive Property to factor out the GCF from both numbers.
48 - 28 = 4(12) - 4(7)
Step:3. Distribute the GCF to both terms in parentheses.
48 - 28 = 4(12 - 7)
Step:4. Finally, simplify the expression inside the parentheses.
48 - 28 = 4(5)
So, rewriting 48 - 28 using the Distributive Property and the GCF of the numbers, you get 4(5) = 20.

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There are 2 orange jelly beans in the jar.

Probability is a branch of mathematics that measures the likelihood of a specific event occurring. It is used to quantify the chance of something happening and to assess the risk associated with certain decisions or actions. Probability is the mathematical way of expressing the likelihood of certain outcomes or events occurring. It is used to predict the likelihood of success or failure in a wide range of situations.

To answer this question, we must use the given information to construct a mathematical equation. Let x represent the number of orange jelly beans in the jar. Since there are a total of 3 black jelly beans in the jar when the probability of drawing a black jelly bean is 1/3, the total number of jelly beans must be 3 times the number of orange jelly beans, or 3x. Similarly, when the probability of drawing a black jelly bean is ¼, the total number of jelly beans must be 4 times the number of orange jelly beans, or 4x.

Now, we can set up the equation 3x = 4x – 2, which can be simplified to x = 2. Therefore, there are 2 orange jelly beans in the jar.

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Answer:

We can use the following formulas to solve the problem:

The area of a circle is given by the formula A = πr^2, where r is the radius of the circle.

The area of a sector of a circle is given by the formula A = (θ/360)πr^2, where θ is the central angle of the sector in degrees.

a) Each sprinkler rotates 360 degrees, so it covers a full circle with a radius of 13 feet. Therefore, the area covered by each sprinkler is:

A = πr^2 = π(13 ft)^2 = 169π sq ft ≈ 530 sq ft (rounded to the nearest whole number)

b) Since there are 8 sprinklers, the total area covered by all the sprinklers is 8 times the area covered by one sprinkler:

Total area = 8 x 530 sq ft = 4,240 sq ft

Therefore, all 8 sprinklers combined cover an area of 4,240 square feet.

Step-by-step explanation:

a) Each sprinkler covers an area of approximately 530 square feet (pi times the square of the radius, where radius is half of the distance reached by the sprinkler).

b) All 8 sprinklers combined cover an area of approximately 4,240 square feet (530 square feet times 8).

To find the area covered by each sprinkler,

we need to calculate the area of the circle formed by the water spray. The radius of the circle is the distance reached by the sprinkler, which is 13 feet. So, the area covered by each sprinkler is π(13)^2 square feet, which is approximately equal to 530.93 square feet.

Since there are 8 sprinklers, the total area covered by all of them is simply 8 times the area covered by each sprinkler. Therefore, the total area covered by all 8 sprinklers combined is 8 x 530.93 square feet, which is equal to 4,247.44 square feet.

To answer part A of the problem, we need to first calculate the area covered by each sprinkler. Since each sprinkler covers a circular area with a radius of 13 feet, we can use the formula for the area of a circle (πr^2) to find the area covered by each sprinkler, which is approximately 530.93 square feet. For part B, we simply need to multiply the area covered by each sprinkler by the number of sprinklers, giving us a total coverage area of about 4,247.43 square feet for all 8 sprinklers.

The samples must be dependent is the false assumptions all other assumptions about the two-way ANOVA is correct. Option A is the correct answer.

According to the levels of two categorical variables how the mean of quantitative variables changes is estimated by A two-way ANOVA. When you want to know how two independent variables, in combination, affect a dependent variable we can use a two-way ANOVA.

The samples must be dependent is the false assumption because samples are supposed to be independent, not dependent multicollinearity is minimized. the assumption of the two-way ANOVA is the Independence of variables, Homoscedasticity, and Normal distribution of variables.

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A coin is flipped 200 times. The table shows the frequency of each event. So ,The experimental probability of landing on heads: 48%

Description:

To determine the experimental probability of landing on heads, we need to divide the frequency of heads by the total number of coin flips and express it as a percentage.

The total number of coin flips is:

200 (total number of trials)

The frequency of heads is:

96

So, the experimental probability of landing on heads is:

96/200 = 0.48 = 48%

Therefore, the answer is:

48%

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Answer:

vertex = (-3, 18)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h,k).

Step-by-step explanation:

You can graph it to find the vertex  or  massage this equation into vertex form.   Thirdly , if you know calculus, you can take the first derivative and set it = 0 .

y = 2x^2 + 12x + 36    Arrange to vertex form by completing the square

     2 ( x^2 + 6x)     + 36

     2 ( x+3)^2    -18 + 36

      2 (x+3)^2  + 18    <====vertex fom               Vertex is  -3,18

By graphing: see image

By calculus

 derivative    4x + 12 = 0

                         x = -3       use this value in the original equation to find y = 18

                                           (-3,18)

Each piece of webbing is either 3/5 yards or 21.6 inches long, depending on the desired unit of measurement.

To find the length of each piece of webbing, we can start by using the formula for dividing a quantity into equal parts. The formula is:

quantity / number of parts = length of each part

In this case, Alexis has 9 yards of webbing, and he wants to divide it into 15 pieces that are each the same length. Therefore, we can plug in the values into the formula as follows:

9 / 15 = length of each part

Simplifying the fraction, we get:

3 / 5 = length of each part

Therefore, each piece of webbing is 3/5 yards long.

We can also express this as a decimal or in inches, depending on the desired unit of measurement. To convert 3/5 yards to inches, we can multiply by the conversion factor of 36 (since there are 36 inches in a yard):

3/5 yards x 36 inches/yard = 21.6 inches

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The length of the sides of the triangle and the angles of the triangle obtained using the law of sines, indicates that the correct option is the option B.;

B. There is only 1 possible solution for the triangle.

The measurement for the remaining angles A and C and the side c are as follows;

m∠A = 45°11', m∠C = 100°12', The length of the side c ≈ 53.4

The law of sines states that the ratio of the sine of an angle to the length of the facing side is equivalent to the corresponding ratio of the other two angles and sides of a triangle.

The dimensions of the triangle are; B = 34°42', a = 38.5, and b = 30.9

Whereby two sides of the triangle and the non included angle are known, the triangle is an example of a SSA triangle and the triangle may have more than one solution or no solution.

The sine rule, indicates;

30.9/(sin(42°42') = 38.5/(sin(A))

(sin(A)) = 38.5 × (sin(42°42')/30.9

m∠A = arcsin(38.5 × (sin(42°42')/30.9) ≈ 45.18° ≈ 45°11'

m∠C = 180° - 34.7 - 45.18 ≈ 100.12° = 100° 7.2'

The length of the side c obtained using cosine rule is therefore;

c² = 38.5² + 30.9² - 2 × 38.5 × 30.9 × cos(100.12°)

c = √(38.5² + 30.9² - 2 × 38.5 × 30.9 × cos(100.12°)) ≈ ±53.4

The length of the triangle is positive, therefore, c ≈ 53.4

Therefore, there is only one possible triangle.

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Answer: zero

Step-by-step explanation:

slope is "rise over run", and there is no ("0") "rise" as the y-value is not increasing; as 0 divided by anything is still 0, the slope is zero.

The MSE for the regression models developed in parts (b) and (d) is Ŷ = 5.10 + 0.83X

Let's assume that the dependent variable in both models is denoted by Y, and the independent variable is denoted by X. The regression model developed in part (b) is expressed as:

Y = 5.10 + 0.83X

The regression model developed in part (d) is expressed as:

Y = 4.90 + 0.89X + 0.012X²

To calculate the MSE for the model developed in part (b), we need to first calculate the predicted values of Y using the equation:

Ŷ = 5.10 + 0.83X

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (b).

Similarly, to calculate the MSE for the model developed in part (d), we need to first calculate the predicted values of Y using the equation:

Ŷ = 4.90 + 0.89X + 0.012X^2

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (d).

After calculating the MSE for both models, we can compare them to determine which model is more effective. A lower MSE indicates that the model is more accurate in predicting the dependent variable.

Therefore, the model developed in either part (b) or (d) with the lower MSE is considered to be more effective.

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Answer:

Step-by-step explanation:

The distance from the midline to the highest point of the wave is the same distance as the lowest point is from the midline.

Find the distance from crest-to-trough and divide by 2 to find the midline:

(495 - 20) / 2 = 237.5

237.5 is also the amplitude of the wave

The midline is the horizontal line of y = 237.5

In this context, when she is at a height of 237.5 ft, she is half way from the top of the ferris wheel and half way from the bottom.