HELP PLS ILL PUT MAX POINTS AS I CAN ALSO CHECK PICTURE

The value of x in the given diagram is 12.

option C.

The value of x in the given diagram is calculated by apply the principle of intersecting chord theorem as shown below;

The intersecting chord theorem states that angle formed at the circumference is twice the angle at the tangent.

the angle at circumference = 360 - (6 + 20x)

tangent angle = 4x + 9

360 - (6 + 20x) = 2 (4x + 9)

360 - 6 - 20x = 8x + 18

-28x = -336

x = 336/28

x = 12

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1

The  probability that the student does not own a trampoline is given by the relation P ( A' ) = 5/12

Given data ,

Let the probability that the student does not own a trampoline be P ( A ' )

Given that there are 14 students who own a trampoline out of 24 students in total, the probability of owning a trampoline is 14/24. Therefore, the probability of not owning a trampoline is:

1 - 14/24 = 10/24 = 5/12

So, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12

Hence , the probability is 5/12

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

The first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.

To calculate the first derivative of the function f(x) = x^4 + 3x^2 + 2 using Richardson's method, we need to first calculate the approximate values of the function at x=2 and x=2+h, where h=0.01.

So, we have:

f(2) = 2^4 + 3(2^2) + 2 = 24

f(2+h) = (2+h)^4 + 3(2+h)^2 + 2

= 16 + 32h + 24h^2 + 8h^3 + h^4 + 12 + 12h + 3h^2 + 2

= h^4 + 8h^3 + 24h^2 + 35h + 30

Now, we can use Richardson's extrapolation formula to calculate the first derivative of the function at x=2:

f'(2) ≈ (4f(2+h) - f(2)) / (3h)

Substituting in the values we have:

f'(2) ≈ (4(h^4 + 8h^3 + 24h^2 + 35h + 30) - 24) / (3h)

= (4h^4 + 32h^3 + 96h^2 + 140h + 96) / (3h)

= (4h^3 + 32h^2 + 96h + 140) / 3

Now, we can substitute h=0.01 to get the value of the first derivative at x=2:

f'(2) ≈ (4(0.01^3) + 32(0.01^2) + 96(0.01) + 140) / 3

≈ (4(0.000001) + 32(0.0001) + 0.96 + 140) / 3

≈ (0.000004 + 0.0032 + 0.96 + 140) / 3

≈ 140.9632 / 3

≈ 33.8933

Therefore, the first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.

To learn more about Richardson extrapolation click:

brainly.com/question/16549876

#SPJ1

Answer:

World's Fair. Is the correct answer

Answer:

Sidama Cofee Football Team, the Ethiopian premier league club in Yiregalem, plays 70 percent of their games at night and 30 percent during the day. The team wins 50 percent of their night games and 90 percent of their day games. According to today’s news, they won yesterday. What is the probability the game was played at night?

Answer:

you got them all right except graph 4 is a function! The trick is to use the vertical line test. Put your pencil vertically on your paper and move it across the graph. If your pencil passes through the same point twice, it's not a function. :)

Step-by-step explanation:

The statement is false, a triangle can't have two angles of 90°.

Remember that for any triangle, the sum of the 3 interior angles should be equal to 180°.

So if the 3 interior angles are A, B, and C we have.

A + B + C = 180°

In this case we know that two of the angles are of  90°, so let's say that:

A = 90°

B = 90°

Replacing that we will get:

90° + 90° + C = 180°

C = 180° - 90° - 90°

C = 0°

And we can't have a 0° degree angle, so the statement is false, triangles with two 90° don't exist.

Learn more about triangles at:

https://brainly.com/question/2217700

#SPJ1

Answer:

x = 27°

Step-by-step explanation:

using the co-function identity

cos x = sin(90 - x) , then

cos63° = sin(90 - 63)° = sin27° with x = 27°

The parabola for the expression are given in attachment.

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix

y=2x(x-7)

Let us take few values of x and y and draw the parabola

Similarly we draw the graph for (x+4)(x-4)

Hence, the parabola for the expression are given in attachment.

To learn more on Parabola click:

https://brainly.com/question/31142122

#SPJ1

The three different values of n to demonstrate that 2n + 3n is equivalent to 5n are 1, 4 and 10.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 2n + 3n

On simplifying the equation , we get

A = 5n

when n = 1 , we get

2n + 3n = 2(1) + 3(1) = 2 + 3 = 5

5n = 5(1) = 5

Therefore, both expressions give the same result of 5.

when n = 4 , we get

2n + 3n = 2(4) + 3(4) = 8 + 12 = 20

5n = 5(4) = 20

Again, both expressions give the same result of 20.

when n = 10 , we get

2n + 3n = 2(10) + 3(10) = 20 + 30 = 50

5n = 5(10) = 50

Hence , the equation is solved

To learn more about equations here:

brainly.com/question/19297665

#SPJ1

The probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chips is 0.6644.

Using the z-score formula to standardize the values and find the probability using a standard normal distribution table:

z1 = (62 - 63) / 1.8 = -0.56

z2 = (66 - 63) / 1.8 = 1.67

Using the standard normal distribution table, we find that the area to the left of z1 is 0.2881 and the area to the left of z2 is 0.9525.

Therefore, the probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chips is:

P(62 < x < 66) = P(z1 < z < z2) = P(z < z2) - P(z < z1)

= 0.9525 - 0.2881

= 0.6644

Therefore, the probability is approximately 0.6644.

Learn more about probability at https://brainly.com/question/24756209

#SPJ1

It should be noted that to evaluate whether an organized array of numbers serves as a resolution for a combination of equations, one can apply this method.

Write down the arrangement of equations that you wish to evaluate the solution for. For illustration, let us say that we have this system:

2x + 3y = 7

x - y = 2

Inject the data from the orderly list into the equations. For example, if the ordered list is (x=1, y=3), then we have:

2(1) + 3(3) = 7

1 - 3 = -2

Verify whether the outcome of the equations are equivalent to the values in the ordered list. If they are, then the orderly list is a resolution of the arrangement of equations. On the other hand, if not, then it is not a solution.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

45%

Step-by-step explanation:

Divide $360,000 by $800,000 to find the percentage

360,000/800,000=.45

To conver the decimal to a percentage, move the decimal point two places to the right, so .45 becomes 45%

The value of the linear sum ∑(i = 1 to 124) (29a_i - 13b_i) is -30.

We have,

Using the linearity of the sum, we have:

∑(i = 1 to 124) (29a_i - 13b_i)

= 29∑(i = 1 to 124)a_i - 13∑(i = 1 to 124)b_i [Distributive property]

= 29(-10) - 13(-20) [Substitute the given sums]

= -290 + 260

= -30

Therefore,

The value of ∑(i = 1 to 124) (29a_i - 13b_i) is -30.

Learn more about linear sum here:

https://brainly.com/question/29201290

#SPJ1

Area of rectangular prism: Base x Height.

so 3x1/3x2/5=0.4 0r 2/5

Answer:

C. No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.

The vertex of the parallelogram is (5, 13)

We know that in a parallelogram the opposite sides are equal

AB=√(-3-4)²+(-6+3)²

=√49+9

=√58 units

BC=√(6-4)²+(2+3)²

=√4+25

=√29 units

AD=√(-3-x)²+(-6-y)²

AD=√58 units

√58 units=√(-3-x)²+(-6-y)²

58 units=(-3-x)²+(-6-y)²

Now CD=√(6-x)²+(2-y)²

29 units=(6-x)²+(2-y)²

x=5 and y=13 satisfies the equation

Hence, the vertex of the parallelogram is (5, 13)

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ1

answer

a. 5,8

explanation

use numbers in each answer choice

+5 * -8 = - 40

+5 -8 = -3

Consider the form [tex]x^2+bx+c[/tex]. Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex]. In this case, whose product is -40 and whose sum is -3.

[tex]\longrightarrow\boxed{\bold{(-8,5)}}[/tex]

Write the factored form using these integers.

[tex](x-8) \ (x+5)[/tex]

So the correct possible triangular outline for the garden is:

5 + 2.5 > 4

4 + 2.5 > 5

4 + 5 > 2.5

Given information:

Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet, and 4 feet.

He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.

The sums that prove that the boards will create a triangular outline for the garden are:

5 + 2.5 > 4

4 + 2.5 > 5

4 + 5 > 2.5

So the correct options are:

5 + 2.5 > 4

4 + 2.5 > 5

4 + 5 > 2.5

These sums satisfy the triangle inequality rule, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

To learn more about triangle inequality;

https://brainly.com/question/1163433

#SPJ1

The surface area of the cylinder is calculated as approximately:

8,444.6 mm².

The surface area of a cylinder (SA) = 2πrh + 2πr², where:

r is the radius

h is the height of the cylinder.

Given the following:

Diagonal of cylinder = 40 mm

Height of cylinder (h) = 32 mm

Radius (r) = √(40² - 32²) = 24 mm [based on Pythagorean Theorem]

Plug in the values:

surface area of the cylinder (SA) = (2 * π * 24 * 32) + (2 * π * 24²)

≈ 8,444.6 mm²

Learn more about surface area of a cylinder on:

https://brainly.com/question/26396269

#SPJ1

Answer:

difference = 12.5

Step-by-step explanation:

the median score is the value of the line inside the box.

median in afternoon = 75

median in morning = 87.5

difference = 87.5 - 75 = 12.5

The expression that can be represented by product (50)*(-5) is 250

Any number that can be expressed as the product of 50 and -5 can be represented using the expression (50)*(-5).

For example, if we multiply 50 and -5, we get -250. Therefore, -250 can be represented using the expression (50)*(-5).

Similarly, if we multiply 50 and -5 by any other number, we can represent the product using the expression (50)*(-5).

Learn more about expression at https://brainly.com/question/1859113

#SPJ1

There are 5,040 different ways you can arrange your 7 favorite books on the small shelf.

The organization or positioning of a group of items or components in relation to one another is referred to as an arrangement. It can be used in a variety of situations, such as mathematics, art, or event planning, and can relate to the arrangement, positioning, or grouping of things.

The number of different ways you can arrange 7 books in a specific order is given by the permutation formula:

P(7,7) = 7!

where "!" denotes the factorial operation.

Thus, the number of ways you can arrange your 7 favorite books along a small shelf, assuming that the order of the books makes a difference to you, is:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

Therefore, there are 5,040 different ways you can arrange your 7 favorite books on the small shelf.

To know more about an arrangement follow

https://brainly.com/question/1427391

#SPJ1

Step-by-step explanation:

For a RIGHT triangle   tan Φ = opposite leg / adjacent leg

 for this triangle

         tan 71 = x / 5.7

       5.7 * tan 71 = x    =   16.6  units

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ1

The complete question:

Evaluate the expression x² + 10x, when x = 2.

answer:

15

step-by-step explanation:

-4x - 6y = 8

+ (6x + 5y = 7)

__________

2x - y = 15

The expected number of hits

= [tex]\sum xP(X=x) = 0.96[/tex]

Let X be a Binomial random variable that denotes the number of hits

where the parameters are n = 3, p = 0.320

P(X = x) = [tex]\binom{3}{x}*0.32^{x}*0.68^{3-x} , x = 0,1,2,3[/tex]

(a) The probability distribution of X is

P(X = 0) = 0.3144

P(X = 1) = 0.4439

P(X = 2) = 0.2089

P(X = 3) = 0.0328

X 0 1 2 3

P(X = x) 0.3144 0.4439

0.2089

0.0328

(c) Expected number of hits

= [tex]\sum xP(X=x) = 0.96[/tex]

Read more about probability distribution here:

https://brainly.com/question/30390163

#SPJ1

The equation that best represents the population of the town, which increases exponentially at the rate of 6% every year, after x years is C. y = 158,260(1.06)ˣ.

Exponential growth refers to a constant percentage or rate of growth per period.

The opposite of exponential growth is exponential decay and refers to the constant rate of decay in value per period.

The town's initial population = 158,260

Growth rate per year = 6%

Let x = the number of years of growth

Let y = the population after x years

y = 158,260(1 + 0.06)^x

Thus, the correct equation representing population growth after x years is Option C.

Learn more about exponential growth equations at https://brainly.com/question/2456547.

#SPJ1

The maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm is  337.5 cm³

Let's denote the radius of the cylindrical can as r, and its height as h.

The circumference of the base of the can is 2πr, so the sum of the height and the circumference can be written as:

h + 2πr = 45..(1)

We want to find the maximum volume of the can, which is given by:

V = πr²h..(2)

From (1), h = 45 - 2πr

Substitute h value in equation above

V = πr²(45-2r)

V = 45πr² - 2π²r³

To find the maximum volume, we have to find the differentiation of V

dV/dr = 90πr - 6π²r² = 0

Solving for r, we get:

r = 15/π cm

Now plug in r value in h

V = π(15/π)²(15)

= 337.5 cm³

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1