Need some help, kinda stuck

It would be 20 hours

Step-by-step explanation:

let me know if I am wrong thxs

In respοnse tο the given questiοn, we can state that As a result, the functiοn turning pοints are ((4/3), -4/(3(4/3))) and (-(4/3), 4/(3(4/3))). With this data, we can draw the graph οf y = x³ - 4x shοwn in οptiοn (D).

Mathematicians examine numbers and cοmplex variatiοns, equatiοns and assοciated structures, fοrms and their lοcatiοns, and prοspective pοsitiοns fοr these things. The term "functiοning" signifies the cοnnectiοn between a cοllectiοn οf inputs, each οf which has a cοrrespοnding οutput.

A functiοn is a cοnnectiοn οf inputs and results in which each input leads tο a single, identifiable οutcοme. Each functiοn is assigned a dοmain, a cοdοmain, οr a scοpe. The letter f is widely used this tο denοte functiοns (x). The symbοl fοr admissiοn is an x. The fοur primary types οf usable functiοns are οn οperatiοns, οne-tο-οne capabilities, sο multiple functiοnality, in capabilities, and then οn functiοns.

Optiοn (D) is a design that might depict the graph οf y = x³ - 4x since it cοntains a single hump with a rοοt at x = 0 and intersects the y-axis at y = 0.

We may use the fοllοwing prοcedures tο sοlve the functiοn y = x³ - 4x:

The value οf the y-intercept is (0, 0).

We set y = 0 and sοlve fοr x tο determine the x-intercepts:

\(x^3 - 4x = 0\)

\(x( x^2 -4) = 0\)

\(x = 0 , x = -2 , x = 2\)

As a result, the x-intercepts are (-2, 0), (0, 0), and (2, 0).

\(3x^2 - 4 = 0\)

x = ±√(4/3)

As a result, the turning pοints are ((4/3), -4/(3(4/3))) and (-(4/3), 4/(3(4/3))).

With this data, we can draw the graph οf y = x³ - 4x shοwn in οptiοn (D).

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Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

\(\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }\)

Then, the cost price of this bicycle :

\( = \tt \frac{2850 \times 100}{100 + 14} \)

\( = \tt \frac{285000}{114} \)

\( =\color{plum} \tt2500\)

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

\( = \tt2500 = \frac{\: x \: \times 100}{100 + 8} \)

\( = \tt2500 = \frac{100x}{108} \)

\( =\tt 100x = 2500 \times 108\)

\( = \tt100x = 270000\)

\( =\tt x = \frac{270000}{100} \)

\( =\color{plum}\tt x = 2700\)

Therefore, the selling price with a profit of 8% will be = 2700

Answer: 41 units

Step-by-step explanation: took the quiz

The length of the diagonal is 41 units.

To find the length of a diagonal.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

Let a right triangle with legs length 9 units and 40 units and hypotenuse is the diagonal length c.

\(a^{2} +b^{2} =c^{2}\)

\(9^{2} +40^{2} =c^{2}\)

\(81+1600=c^2\\1681=c^2\)

sqrt both sides

41=c

So, the length of the diagonal is 41 units.

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Answer:

X=-1

Step-by-step explanation:

h(x)=0

-X-1=0

-X=1

X=-1

There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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Answer:

y = 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 45

Hypothenus = 4√2

Adjacent = y =?

The value of y can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 45 = y / 4√2

Cross multiply

y = 4√2 × Cos 45

Recall

Cos 45 = 1 / √2

Therefore,

y = 4√2 × 1/√2

y = 4

Answer:

35

Step-by-step explanation:

(-18) + (-83) +142) + |15) + (-21)

41 + 15 - 21

56 - 21

35

Step-by-step explanation:

A = 1/2h(b1 + b2)

2A = h(b1 + b2)

h(b1 + b2) = 2A

h = 2A/(b1 + b2)

Answer:

80 or 100

Step-by-step explanation:

hope you find the answer

Answer:

it's 105°

solution:-

Because we know that exterior angle of a triangle is equal to it's sum of the opposite interior angles.

Step-by-step explanation:

therefore,

ATP(according to the problem) - sum of opposite interior angles = ?

- 80°+25°= 105°

(Ans) is 105°

The total weight is 18.5 kilograms

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Power is the probability that a test correctly rejects a false null hypothesis​.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes—how likely they are—whenever we're uncertain of how an event will turn out.

Power is inversely related to the probability of making a type 2 error (β) which is rejecting the alternative hypothesis when it is true.

The equation of power is:

Power=1-β

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The common difference that makes the arithmetic sequence (2d + 1), (2d - 1) and (3d + 4) is -2

In an arithmetic sequence the common difference helps to generate the next term in the sequence

Th given series are  (2d + 1), (2d - 1) and (3d + 4)

d = second term  - first term

d = (2d - 1) - (2d + 1)

d = 2d - 1 - 2d - 1

d = -2

The common difference of the sequence is -4

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Answer:

A. (3,1)

Step-by-step explanation:

y=x-2

Putting A. (3,1) in the above equation,

y=3-2=1

so, if x=3, y will be 1 which satisfies the equation

Answer:

A) (3, 1)

Step-by-step explanation:

Because (x, y)=(3, 1).

Now plug in those values into the equation y=x-2.

You get 3-2=1, which is the correct y-value.

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Answer:

B. y-5= 4(x-2)

Step-by-step explanation:

I'm not sure how to describe it, believe me tho but if my answer is incorrect my fault then.

Answer: A. y - 5 = 4(x + 2)

\(\rule{130}{1}\)

\(\rule{1}{5 } \ \ \sf point \ slope \ form : y-y_1 = m(x - x_1) \quad \ where \ (x_1 , \ y_1)\ are \ points \ \ \ \rule{1}{5}\)

                                                   Given points: (-2, 5)

solving stepwise:

\(\rightarrow y - 5 = 4(x - (-2))\)

\(\rightarrow y - 5 = 4(x +2) \bf \quad \quad This \ is \ point \ slope \ form\)

\(\rightarrow y - 5 = 4x + 8\)

\(\rightarrow y = 4x + 13 \quad \quad \quad \quad \bf This \ is \ slope \ intercept \ form\)

There are 140 different license plates that can fit the description provided by the witness of a hit-and-run accident. There are 1,689,660 different license plates that can fit the given description.

To find the number of different license plates that match the given description, we need to consider the available options for each position in the license plate.

The first position is fixed with the letters "as". Since there are no restrictions on these letters, they can be any two letters of the alphabet, resulting in 26 × 26 = 676 possible combinations.

The second position can be filled with any letter of the alphabet except "s" (since it is already used in the first position). This gives us 26 - 1 = 25 options.

Similarly, the third position can also have 25 options, as we need to exclude the letter "s" and the letter used in the second position.

For the fourth position (the first digit), there are 10 options (0-9).

The fifth position can be either 1 or 2, giving us 2 options.

Finally, the sixth position (the second digit) can also be filled with any of the remaining 10 options.

To find the total number of combinations, we multiply the options for each position: 676 × 25 × 25 × 10 × 2 × 10 = 1,690,000.

However, we need to exclude the cases where the digits 1 and 2 are not present together. So, we subtract the cases where the first digit is not 1 or 2 (8 options) and the cases where the second digit is not 1 or 2 (9 options): 1,690,000 - (8 × 2 × 10) - (10 × 9 × 2) = 1,690,000 - 160 - 180 = 1,689,660.

Therefore, there are 1,689,660 different license plates that can fit the given description.

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Plot these points on a graph and draw a line connecting them beginning at (0, 4) and ending at (18, 31). The graph is plotted below.

Given:

Starting cart denotes that the number of nested carts is zero.

So, let the x axis represent the number of nested carts and the y axis represent the height of the nested carts.

As per question,

When x = 0 , the height is y = 4 ft

When x = 13, the height is  y = 2.5 ft

When x = 18, the height is  y = 31 ft

So, the points on the graph are (0,4), (13, 23.5) and (18, 31).

Plot these points on a graph and draw a line passing through all these points starting at (0, 4) and ending at (18, 31).

The graph is shown below.

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As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.

HCF:

The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).

Given,

The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.

Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.

Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest  number that divides both x and y.

Here we have given that there are 30 instruments and 18 flag bearers.

Now, we need to find the prime factorization of 30,

That is,

30 = 2 x 3 x5

Similarly, the prime factorization of 18 is

18 = 2 x 3 x 3

Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be

=> 2 x 3 = 6.

Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.

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Answer:

As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.

HCF:

The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).

Given,

The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.

Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.

Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.

Here we have given that there are 30 instruments and 18 flag bearers.

Now, we need to find the prime factorization of 30,

That is,

30 = 2 x 3 x5

Similarly, the prime factorization of 18 is

18 = 2 x 3 x 3

Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be

=> 2 x 3 = 6.

Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.

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Step-by-step explanation:

Answer:

We can convert the 2/3 bag of candy that we got to 16/24, by multiplying both the top and bottom by 8. Similarly, we multipy the 1/8 bag of candy that our friend got by 3 on the top and bottom to get 3/24.

We find the difference between these two:

(16/24) - (3/24) = (16-3)/24 = 13/24

So we get 13/24 more of the bag of candy than our friend did.

Answer:

1/6

Step-by-step explanation:

you’re being asked the difference between the amounts of your candy and your friend’s candy.

So you must subtract 1/3 from 1/2.

=> 1/2 - 1/3

=> 3*1 - 2*1/3*2. ( You criss-cross and you multiply the denominators)

=>. 3 - 2 /6

=> 1/6

So you got 1/6 more candies in your bag than your friend.

Answer:

Joe is 16, Frank is 22

Step-by-step explanation:

To find the solution to this problem, we first divide 38 by two.

38 / 2 = 19.

Then, we subtract 6 from 19 and have 19 and 13.  Obviously, 19 is 6 more than 13 (19 - 13 = 6).  Now, we need to make sure our number on the left is always 6 more than the number on the right.  19 + 3 = 22, 13 + 3 = 16.  Since Frank is older than Joe by 6 years, we get 22 and 16 as their ages.

Answer:

B. Multiply 8 by 4 is the answer

Answer:

QR

Step-by-step explanation:

Step-by-step explanation:

a ) 12 , 17 , 22 , 27 , 32

according to the given sequence, they added 5 in the numbers

b ) 83 , 77 , 71 , 65 , 59

in this given sequence they just subtracted 6 from the number

hope this answer helps you dear...take care and may u have a great day!

It takes 9 hours for the car to travel 612 miles at an average speed of 68 miles per hour.

To find the time it takes for the car to travel 612 miles at an average speed of 68 miles per hour, we can use the formula:

time = distance ÷ speed

Plugging in the given values, we get:

time = 612 miles ÷ 68 miles per hour

Therefore, the time it would take the car to travel 612 miles is: Time = 612 miles / 68 miles per hour Time = 9 hours.  So, it would take the car approximately 9 hours to travel a distance of 612 miles if it maintains an average speed of 68 miles per hour.

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It is impossible to construct an equilateral triangle with three vertices with integer coordinates.

Suppose ABC is an equilateral triangle with integer coordinates.

Then its area by the formula \(\frac{1}{2} (x_{1} (y_{2} -y_{3})+x_{2}(y_{3} -y_{1})+x_{3} (y_{1} -y_{2}))\) is an integer.

Let a be the length of a side. Then \(a^{2}\) is a positive integer. The area of the equilateral triangle is \(\sqrt{\frac{3}{4} } a^{2}\) which is irrational.

Hence we get a contradiction.

Therefore an equilateral triangle cannot have all its vertices integer coordinates.

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It is impossible to construct an equilateral triangle with three vertices with integer coordinates because the distance between any two points with integer coordinates is also an integer. In an equilateral triangle, all three sides must have equal length. However, if the distance between two points with integer coordinates is an integer, then the distance between the third point and either of the first two points will not be an integer in most cases. This means that it is not possible to find three points with integer coordinates that are equidistant from each other.

The distance between two points with integer coordinates can be calculated using the Pythagorean theorem. If we consider two points with coordinates (x1, y1) and (x2, y2), the distance between them is √((x2-x1)²+(y2-y1)²). If the distance between two points is an integer, it means that the difference between the x-coordinates and the y-coordinates is also an integer. In an equilateral triangle, the distance between any two points must be the same. However, it is impossible to find three points with integer coordinates that are equidistant from each other.

In conclusion, it is not possible to construct an equilateral triangle with three vertices with integer coordinates because the distance between any two points with integer coordinates is also an integer. In an equilateral triangle, all three sides must have equal length. However, if the distance between two points with integer coordinates is an integer, then the distance between the third point and either of the first two points will not be an integer in most cases. This means that it is not possible to find three points with integer coordinates that are equidistant from each other.

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Answer:

1. With the height and base of a triangle given, we can use the Pythagorean Theorem to find the length of the hypotenuse (the third side) of the right triangle.

Given:

Height (a) = 6

Base (b) = 8

We can plug these values into the Pythagorean Theorem formula:

a^2 + b^2 = c^2

Substituting the values:

6^2 + 8^2 = c^2

Simplifying:

36 + 64 = c^2

100 = c^2

Now, we can take the square root of both sides to solve for c:

√100 = √c^2

10 = c

So, the length of the hypotenuse (c) of the right triangle is 10 units.


2.
Given:

Base (b) = 8

One side (a or c) = 12

We can use the Pythagorean Theorem to find the length of the remaining side (either a or c) of the right triangle.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Using the formula:

a^2 + b^2 = c^2

Substituting the values:

a^2 + 8^2 = 12^2

Simplifying:

a^2 + 64 = 144

Next, we can isolate a^2 by subtracting 64 from both sides of the equation:

a^2 = 144 - 64

a^2 = 80

Finally, we can take the square root of both sides to solve for a:

√(a^2) = √80

a ≈ 8.94 (rounded to two decimal places)

So, the length of the remaining side (either a or c) of the right triangle is approximately 8.94 units. Please note that depending on the context of the problem, you may need to use the positive square root value for a or c, depending on which side is relevant in the specific scenario.

Answer:

X = 10^2

Y = /80

Step-by-step explanation:

Pythagorean theorem = A^2 +B^2= C^2

Fist triangle

6^2+8^2

36 + 64= 100

/100 = 10^2

X= 10^2

Second triangle

Pythagorean theorem = C^2 - A^2= B^2

12^2 - 8^2

144 - 64= 80

/80 = /80

X = /80