find the y-intercept of the tangent line at the point p (4, 4) on the graph of f when

The methods that are fair include __A, B and C__ because __D__ is flawed due to increased chances of winning based on one's skill, ___F___ is flawed due to poor randomization, and ___E___ is flawed due to unequal probabilities of winning and losing.

Probability is a value used to measure the degree of occurrence of a random event. The word probability itself is often referred to as opportunity or possibility. Probability is generally the chance that something will happen.

The concept of probability has an important role in everyday life, starting from the scientific field, the government sector, the business or industry sector, to small issues such as entering the office or not due to thick clouds which are likely to rain heavily and flood .

In studying probability, there are three keywords that must be known namely experiments, outcomes and events or events.

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Answer:

I think the answer is B

The evaluation of the proportional relationship and the graph of the proportional relationships are presented as follows;

Set 1

(1) Please find attached the graph showing the change in the polar bear's distance over time, created with MS Excel

The polar bear swims 1.5 meters in 1 second

(2) The slope of the line is 1.5

Set 2

(1) y = 2·x

(2) y = 5·x + 2.5

Please find attached the graph of the equations in question (3) (y = -2·x), and question (4), (y = (1/2)·x - 3, created with MS Excel

A proportional relationship is one in which there is an equivalent ratio between the output variable and the input variable.

Set 1

(1) The distance the polar bear swims in 8 seconds = 12 meters

The relationship between the change in the distance swam by the polar bear with time is a proportional relationship of the form, x = v·t

Where;

x = The distance the bear swam

t = The time duration

The constant of proportionality, v = x/t is the speed, which is the distance the polar bear swims in 1 second

Where x = 12 meters and t = 8 seconds, we get;

v = (12 m)/(8 s) = 1.5 m/s

Please find attached the completed graph that shows the change in the polar bears distance with time, created with MS Excel

(2) The equation that can be used for finding the slope, m, of a line with known points (x₁, y₁) and (x₂, y₂) is presented as follows;

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Whereby the points on the line are; (10, 55), and (15, 62.5), we get;

(x₁, y₁) = (10, 55)

(x₂, y₂) = (15, 62.5)

m = (62.5 - 55)/(15 - 10) = 1.5

Set 2;

(1) The points on the line are; (1, 2), (0, 0)

The slope of the line is; 2/1 = 2

The coordinates of the y-intercept of the line is (0, 0)

(2) The points on the line are; (0, 2.5), (1.5, 10)

The slope of the line is therefore; m = (10 - 2.5)/(1.5 - 0) = 5

The coordinate of the y-intercept is; (0, 2.5)

(3) The possible equation in the question is; y = -2·x

The equation with a y-intercept of (0, 0), indicates a proportional relationship, therefore, the points on the graph can be obtained using the following table;

x \({}\)    y

0 \({}\)   0

1 \({}\)   -2

2 \({}\)  -4

3 \({}\)  -6

4 \({}\)  -8

(4) The equation is; y = (1/2)·x - 3

The points on the graph of the equation are found as follows;

x \({}\)       y

0 \({}\)      (1/2)×0 - 3 = -3

1 \({}\)       (1/2)×1 - 3 = -2.5

2 \({}\)      (1/2)×2 - 3 = -2

3 \({}\)      (1/2)×3 - 3 = -1.5

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Answer:

Number 5e9, five thousand million

The approximate measure of the largest angle in the triangle is of:

θ = 63.4º.

The vertices of the triangle are given as follows:

N(2,2) and P(0,-2).

The triangle is symmetric over the y-axis, hence the remaining vertex is given as follows:

M(-2,2).

The side lenghts of the triangle are given as follows:

The height of the triangle is of:

4 units.

Hence the base angle is:

The tangent is:

tan(θ) = opposite side/adjacent side

Hence:

tan(θ) = 4/2

tan(θ) = 2

θ = arctan(2)

θ = 63.4º.

The diagram given by the image at the end of the answer represents the situation.

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Multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

The standard deviation is a measure of the amount of variation or dispersion in a set of data points. It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean.

When every score in a sample is multiplied by 3, it effectively changes the scale of the data. The original values are now three times larger, resulting in a larger spread of values around the mean. As a result, the variance and standard deviation will also be three times larger, since they are based on the squared differences between the data points and the mean.

Therefore, multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

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Answer:

I believe the answer is 3

Answer:

9 dimes, 4 nickels, 12 quarters

90 cents + 20 cents + 300 cents = 410 cents = $6.83

Step-by-step explanation:

q=5+d

n=d-7

q+n+d=25

5 + d + d - 7 + d = 25

3d-2=25

3d=27

d=9

25 - 9 = 16 nickels and quarters

q + n = 16 ---> q=16-n

n=d-7 ---> d=n+7

q=5 + n + 7

q=n+12

n+12 = 16-n

2n=4

n=4

25-(9+4)= 12 quarters

He has 2 nickels, 9 dimes, and 14 quarters, with a total value of $4.50

I am going to assume that the "and" in "five more quarters and dimes" and the "and" in "seven fewer nickels and dimes" is actually "than" because otherwise, there is no context in this question. If my answer is incorrect, please tell me how to correctly interpret this question.

In this scenario, the "and" in "five more quarters and dimes" and the "and" in "seven fewer nickels and dimes" is actually "than."

Amount of nickels - x

If there are seven fewer nickels than dimes, the amount of dimes is x + 7. There are five more quarters than dimes, so the amount of quarters is x + 7 + 5, which equals x + 12.

Therefore, there are 2 nickels. Now we must figure out the number of quarters and dimes.

x + 7 = 9

x + 12 = 14

There are 9 dimes and 14 quarters.

Nickels are each worth 5 cents. 2 times 5 is 10 cents.

Dimes are each worth 10 cents. 9 times 10 is 90 cents.

Quarters are each worth 25 cents. 14 times 25 is 350 cents.

Now, we add. 10 + 90 + 350 = 100 + 350 = 450.

REMEMBER, THIS IS IN CENTS. WE MUST STILL CONVERT IT INTO DOLLARS.

450 divided by 100 is $4.50

Answer:

24

Step-by-step explanation:

small side=12 because 30-60-90 tri.

12*2=24

Answer:

integer

Step-by-step explanation:

please give brainliest

Answer:

28 is an integer and a rational number because it is a whole number and it is positive. if there is only one choice, choose rational.

Step-by-step explanation:

hope this helps!

Answer:

or

You can add whichever is accepted by the program

Step-by-step explanation:

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

14²=8²+x²

x²=14²-8²

x=√132=2√33 unit is your answer

Answer:

Step-by-step explanation:

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

The distance after x seconds is:

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

The distance after x seconds is:

After 15 seconds the distance from the start line is:

As we see Sam is further from the start line than Alice

Answer: $1.25 Per Roll

Step-by-step explanation:

(14,17.50) and (16,20)

Answer:

What's the value of 6.7×0.54

=

3.618

Step-by-step explanation:

Answer:

3.618

Step-by-step explanation:

3.618

Answer:

The coordinates of the point Q is (4, 1)

Step-by-step explanation:

The given parameters are;

The directed line segment  extends from R(-2, 4), to S(18, -6)

The ratio in which the point Q partitions the directed line segment = 3:7

Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS

Which gives;

(-2 + (18-(-2))×3/10,  4 +(-6 -4)×3/10) which is (4, 1)

The coordinates of the point Q = (4, 1)

We check the length from R to S is given by the relation for length as follows

\(l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where;

R(-2, 4) = (x₁, y₁)

S(18, -6) = (x₂, y₂)

Length of segment RS  = 22.36

length from R to Q = 6.7086

We check RQ/RS = 6.7082/22.36 = 0.3

Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7

The coordinates of the point Q = (4, 1).

The GCF of these numbers. 2^5 · 5· 11 and 2^3· 5^2 · 7 is D. 2³.5

The greatest common factor is the largest number that can divide evenly into two or more other numbers (GCF). The highest common factor is another name for this (HCF). A factor is a smaller number that could divide into a larger one evenly.

Before determining the greatest common factor, enumerate the prime factors of each integer. The greatest common factor of two or more integers is the biggest integer that is a factor of each.

In this case, 2 appears three times as the most frequent factor and 5 only once as the most frequent factor among the numbers.

Hence 2³.5 is the GCF of the given number.

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Answer:

the anwser is 10 and 12

d

d

d

Answer:

Which property can be used to show that if 16=9+7 then 9+7=16 ?

Commutative property of addition

xXxAnimexXx

ANSWER

commutative property

Step-by-step explanation:

A+B=C

C=A+B

Answer:

one fourth

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of 2's is 2

Total number is 8

Correct choice is B

Answer:

26miles

Step-by-step explanation:

Let Nina's husband's (Ed) mileage = x miles

Nina = (x + 6) miles

Combined mileage = 46

Nina's miles + Ed's miles = 46

x + (x+6) = 46

x+x+6 = 46

2x +6 = 46

2x = 46-6

2x = 40

x = 40/2 = 20miles

Nina's husband covered 20miles

Nina covered = x+6 = 20+6 = 26miles

Nina walked 26miles

The total surface area of the cylinder is approximately 748 cm².

Let the height of the cylinder be h and the radius be r. We are given that the volume of the cylinder is 1540 cm³:

V = πr²h = 1540

We are also given that the difference between the height and radius is 3 cm:

h - r = 3

Solving the second equation for h, we get:

h = r + 3

Substituting this expression for h into the first equation, we get:

V = πr²(r + 3) = 1540

Expanding the expression, we get:

πr³ + 3πr² - 1540 = 0

We can solve this cubic equation to find the value of r using numerical methods . The value of r turns out to be approximately 7.32 cm.

Substituting this value of r into the expression for h, we get:

h = r + 3 = 10.32 cm

Now we can use the formula for the total surface area of a cylinder:

A = 2πrh + 2πr²

Substituting the values of r and h, we get:

A = 2π(7.32)(10.32) + 2π(7.32)²

Simplifying the expression, we get:

A ≈ 748 cm²

Therefore, the total surface area of the cylinder is approximately 748 cm².

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The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.

Let x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.

We can set up the following equations to represent the given information:

180x + 230y + 160z = 2660 (hotel bills)

110x + 120y + 90z = 1520 (meal expenses)

x = y + z (he spent as many days in London as he did in Paris and Rome combined)

We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:

180x + 230y + 160z = 2660

110x + 120y + 90z = 1520

-180y - 180z + 180x = 0

Adding the first and third equations gives us:

360x + 50y - 20z = 2660

Adding the second and third equations gives us: 290x - 60y - 90z = 1520

We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:

1080x + 150y - 60z = 7980

-1450x + 300y + 450z = 7600

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

1630x - 150y - 510z = 380

Solving for x gives us:

x = (150y + 510z + 380) / 1630

Substituting this back into the third equation gives us:

y + z - (150y + 510z + 380) / 1630 = 0

Multiplying by 1630 and rearranging gives us:

1480y + 490z = 380

We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:

490(360x + 50y - 20z) = 490(2660)

50(290x - 60y - 90z) = 50(1520)

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

19600x + 24500y - 9800z = 1303400

-14500x + 3000y + 4500z = 76000 --------------------------------------------------

4100x - 21500y - 14300z = 1227400

Solving for y gives us:

y = (4100x + 14300z - 1227400) / 21500

Substituting this back into the equation 1480y + 490z = 380 gives us:

1480(4100x + 14300z - 1227400) / 21500 + 490z = 380

Multiplying by 21500 and rearranging gives us:

606800x + 2054200z - 1817320000 = 0

Solving for z gives us:

z = (1817320000 - 606800x) / 2054200

Substituting this back into the equation x = y + z gives us:

x = y + (1817320000 - 606800x) / 2054200

Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0

Using the quadratic formula, we can find the value of x:

x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)

Plugging in the value of y from earlier gives us:

x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)

Simplifying and solving for x gives us:

x = 10

Substituting this back into the equation x = y + z gives us:

10 = y + z

Substituting this back into the equation 1480y + 490z = 380 gives us:

1480y + 490(10 - y) = 380

Solving for y gives us:

y = 6

Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z

Solving for z gives us:

z = 4

Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.

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Answer:

\( \sqrt{9 } = 3 \)

Answer:

X = 2

Step-by-step explanation:

2 x 2 x 2 = 8

Hope this helps. Pls give brainliest.

Answer:

2 :)

Step-by-step explanation:

Answer:

0.07

Step-by-step explanation:

The area of this composite figure which is made by the 3 rectangles with dimensions as 2x7 ft, 5x3 ft and 6x9 ft is 83 square feet.

To see the attachment for the complete question:

From the attachment of the figure:

Now, According to the question:

The figure is made by the three rectangle with dimensions as 2x7 ft, 5x3 ft and 6x9 ft.

As the area of rectangle is the product of the length of the rectangle and the width of the rectangle. Thus, the area of this figure is,

A = 2 × 7 + 5 × 3 + 6 × 9

A = 14 + 15 + 54

\(A = 83ft^2\)

Hence, The area of this composite figure which is made by the 3 rectangles with dimensions as 2x7 ft, 5x3 ft and 6x9 ft is 83 square feet.

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For complete question, to see the attachment.

Answer:

auto liability coverage, uninsured and underinsured motorist coverage, comprehensive coverage, collision coverage, medical payments coverage and personal injury protection

Step-by-step explanation:

Note that the the five-number summary and interquartile range for each data set are:

Let's say the distances recorded for each airplane are:

Andre's: 18, 20, 22, 25, 28, 29, 30, 31, 32, 35

Lin's: 15, 16, 18, 20, 21, 22, 23, 25, 30, 33

Noah's: 10, 12, 13, 15, 18, 20, 21, 22, 23, 25

To find the five-number summary for each data set, we need to find the minimum, maximum, median, and quartiles. We can start by ordering the data sets from smallest to largest:

Andre's: 18, 20, 22, 25, 28, 29, 30, 31, 32, 35

Lin's: 15, 16, 18, 20, 21, 22, 23, 25, 30, 33

Noah's: 10, 12, 13, 15, 18, 20, 21, 22, 23, 25

Minimum:

Andre's: 18

Lin's: 15

Noah's: 10

Maximum:

Andre's: 35

Lin's: 33

Noah's: 25

Median:

Andre's: (28 + 29) / 2 = 28.5

Lin's: (21 + 22) / 2 = 21.5

Noah's: (18 + 20) / 2 = 19

First Quartile (Q1):

Andre's: (22 + 25) / 2 = 23.5

Lin's: (18 + 20) / 2 = 19

Noah's: (12 + 13) / 2 = 12.5

Third Quartile (Q3):

Andre's: (31 + 32) / 2 = 31.5

Lin's: (23 + 25) / 2 = 24

Noah's: (22 + 23) / 2 = 22.5

Interquartile Range (IQR):

IQR = Q3 - Q1

Andre's: 31.5 - 23.5 = 8

Lin's: 24 - 19 = 5

Noah's: 22.5 - 12.5 = 10

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