PLEASE HELP ME 20 POINTS + BRAINLIEST

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Therefore, P(K|J) is equal to 1/5 in its simplest form.

What is fraction?

A fraction is a mathematical expression that represents a part of a whole. It is written in the form of one integer (the numerator) divided by another integer (the denominator), separated by a horizontal line. For example, the fraction 2/5 represents two parts out of a total of five parts.

The numerator represents the number of parts we are interested in, while the denominator represents the total number of equal parts that make up the whole. Fractions can be proper (the numerator is less than the denominator), improper (the numerator is greater than or equal to the denominator), or mixed (a whole number and a fraction together). Fractions are used in a wide range of mathematical operations, such as addition, subtraction, multiplication, and division.

by the question.

We can use the formula P(B/A) = P(B∩A)/P(A) to calculate P(KJ), where A is the event that J occurs, and B is the event that K and J occur.

First, we need to find P(K|J∩N). We can use the formula P(JNK) = P(KJ∩N)/P(J) to find this value.

\(P(K|J∩N) = P(JNK) * P(J) = (1/5) * (3/7) = 3/35\)

Next, we need to find P(J) = 3/7.

Finally, we can use the formula P(K|J) = P(K|J∩N)/P(J) to find P(KJ):

\(P(K|J) = P(KJ∩N)/P(J) = (3/35) / (3/7) = (3/35) * (7/3) = 1/5\)

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The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

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.

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 data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

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Answer:

1.(f+g)(x)=5x-11

2.(f-g)(x)=x-3

Step-by-step explanation:

1.(f+g)(x)=f(x)+g(x)

=(3x-7)+(2x-4)

=5x-11

2.(f-g)(x)=f(x)-(g)

=(3x-7)-(2x-4)

=3x-7-2x+4

=x-3

The value of the functions (f + g)(x) and (f - g)(x) will be 5x - 11 and x - 3.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

f(x) = 3x - 7

g(x) = 2x - 4

The value of the function (f + g)(x) will be

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 3x - 7 + 2x - 4

(f + g)(x) = 5x - 11

The value of the function (f - g)(x) will be

(f - g)(x) = f(x) - g(x)

(f - g)(x) = 3x - 7 - (2x - 4)

(f - g)(x) = 3x - 7 - 2x + 4

(f - g)(x) = x - 3

Thus, the value of the functions (f + g)(x) and (f - g)(x) will be 5x - 11 and x - 3.

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Answer:

Step-by-step explanation:

Using measures of variability, it is found that:

a. The situations with constant measures involve constant distributions, such as the number of snow days in Miami each year.

b. The situations with different measures involve constant distributions, such as the number of snow days in Buffalo each year.

There are three measures of variability in a data-set: the range, the standard deviation and the variance.

The range is given by the difference between the maximum value and the minimum value of a data-set.

The standard deviation and the variance are described as follows:

Uniform(constants) data-sets will have similar measures. One example is the number of snow days in Miami each year, which is always of 0, hence the three measures will be of 0.

More disperse data-set will have different measures. Taking the city of Buffalo, in New York, as an example. On average, it should have 40 days of snow each winter, but on colder winters it can have 60 and warmer winters it can have 20. Hence the distribution with the number of snow days in Buffalo over a period of 20 years will have different range, standard deviation and variances.

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Answer:

m = 2/3

Step-by-step explanation:

Answer:

\( \frac{2}{3} \)

Step-by-step explanation:

slope is

\( m = \frac{rise}{run} = \frac{y 2 - y1}{x2 - x1} \)

(0,0) & (3,2)

\( m = \frac{2 - 0}{3 - 0} = \frac{2}{3} \)

Answer:

V = 1/3 * π * r^2 * h OR V = π * r^2 * h/3

Step-by-step explanation:

hope it will help you dear

you told only formula if you need derevation then say :)

The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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Answer:

u = 2√3;

v = 2

Step-by-step explanation:

Use trigonometry:

\( \cos(60°) = \frac{v}{4} \)

Cross-multiply to find v:

\(v = 4 \times \cos(60°) = 4 \times 0.5 = 2\)

Use the Pythagorean theorem to find u:

\( {u}^{2} = {4}^{2} - {v}^{2} \)

\( {u}^{2} = {4}^{2} - {2}^{2} = 16 - 4 = 12\)

\(u > 0\)

\(u = \sqrt{12} = \sqrt{4 \times 3} = 2 \sqrt{3} \)

Answer:

2065

Step-by-step explanation:

if you take 2722 - 659 it equals 2063

The graph that represents the line that is perpendicular to y = 4x - 3, is: C. Graph C.

If two lines are perpendicular to each other, then, their slopes would be negative reciprocals.

Considering the equation, y = 4x - 3, the slope is 4.

Negative reciprocal of 4 is -1/4. The slope of the line that is perpendicular to y = 4x - 3 would be -1/4.

Slope of the line in graph C = change in y / change in x = -1/4

Therefore, the graph that shows a line that is perpendicular to y = 4x - 3 is: Graph C.

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Answer: C; Two non-vertical lines are perpendicular lines when the product of their slopes is -1. So for this example, since the slope is 4, the slope for the perpendicular line would be -1/4. So the slope to a perpendicular line from a vertical line would be its negative reciprocal. Hope that helps!

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Explanation:

Based on the results so far, the experimental or empirical probability of landing on pink is 14/(14+56) = 14/70 = 1/5.

You simply divide the number of pink (14) over the number total (14+56=70) to arrive at that fraction. After reducing, we get 1/5 meaning that 1 out of every 5 spins we arrived on a pink space.

If this pattern holds up, then we expect (1/5)*65 = 13 additional occurrences of pink on the next 65 spins.

Note how 13/65 = 1/5.

Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Hey there!

\(Answer:\boxed{20.95}\)

\(Explanation:\)

To find the answer, we can add up the time from both people.

\(20.7(20.70)+0.25=20.95\)

\(\boxed{20.95}\text{ is your answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

The factorization of the expression , the factor are -2 , 1 and 5.

What is factorization?

To factorise an algebraic statement, we first identify the terms' highest common factors and then arrange the terms into groups in accordance with those groups. In plain English, factorization is the process through which an algebraic expression gets expanded in the opposite direction.

Here the given expression is,

=> \(x^3-3x^2-10x-x^2+3x+10=0\)

=> \(x^3-4x^2-7x+10=0\)

=> \(x^3-x^2-3x^2+3x-10x+10=0\)

=> \(x^2(x-1)-3x(x-1)-10(x-1)=0\)

=> \((x-1)(x^2-3x-10)=0\)

=> \((x-1)(x^2-5x+2x-10)=0\)

=>\((x-1)(x(x-5)+2(x-5))=0\)

=> \((x-1)(x-5)(x+2)=0\)

Then x-1=0 , x-5=0 and x+2=0

=> x= 1,5,-2.

Hence the factors of the expression is 1,5 and -2.

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Answer:

The length of the hypotenuse is 16.2 inches.

Step-by-step explanation:

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

\(c^{2} = 6^{2} + 15^{2}\)

\(c^{2} = 36 + 225\)

\(c^{2} = 261\)

\(\sqrt{c^{2} } = \sqrt{261}\)

\(c = 16.2\)

Answer:

False

Step-by-step explanation:

In an equation with a variable, whatever you to to one side of the equation you must do to the other side. I am 100% positive on this answer by the way

Answer:

1.916 just devide: 23÷12=1.916

Answer:

\(1.917\)

Step-by-step explanation:

\( \frac{23}{12} \frac{ \times8.33333333 }{ \times 8.33333333} \\ = \frac{191.666667}{100} \\ = 1.917\)

Answer:

A. g(x) = x²/3

Step-by-step explanation:

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

4^5/4^2

Step-by-step explanation:

We know 1/a^b = a^-b

a^b/ a^c = a^(b-c)

1/4^3   = 4^-3

4^2/4^5 = 4^(2-5) = = 4^-3

4^5/4^2 = 4^(5-2) = 4^3

4^-3

Answer:

\(4^{5}/5^{2}\) = not the same

Step-by-step explanation:

you have the equations

\(1/4^{3} = 0.015625\\\\4^{2}/4^{5} = 16/1024 = 0.015625\\\\4^{5}/4^{2} = 1024/16 = 65\\\\4^{-3} = 0.015625\)

Answer: x>-2

Step-by-step explanation:

Answer:

m=25/28

Step-by-step explanation:

Answer:

6+2=8    12-8=4 so she has $4 left

Step-by-step explanation:

Answer:

12-6-2=4

or

6+2=8, 12-8=4

Answer:

.

Step-by-step explanation:

.