pls do this pls pls pls pls pls pls

Answer:

x² + y² = 80

Step-by-step explanation:

We are given that a circle has the center at the origin (the point (0,0)) and passes through the point (-8,4).

We want to write the equation of this circle in the standard equation. The standard equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

As we are given the center, we can plug its values into the equation.

Substitute 0 as h and 0 as k.

(x-0)² + (y-0)² = r²

This becomes:

x² + y² = r²

Now, we need to find r².

As the circle passes through (-8,4), we can use its values to help solve for r².

Substitute -8 as x and 4 as y.

(-8)² + (4)² = r²

64 + 16 = r²

80 = r²

Substitute 80 as r².

x² + y² = 80

Answer:

n(A) = {6,9}

n(B) = {3,9}

n(A intersection B) = {9}

nA union B) = {1,3,6,9}

hope to this helps

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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\(\huge\textsf{Hey there!}\)

\(\mathsf{\dfrac{9\times10^5}{10\times10^3}}\)

\(\mathsf{10^5}\)

\(\mathsf{= 10\times10\times10\times10\times10}\)

\(\mathsf{= 100\times100\times10}\)

\(\mathsf = 10,000\times10}\)

\(\mathsf{=\bf 100,000}\)

\(\mathsf{10^3}\)

\(\mathsf{= 10\times10\times10}\)

\(\mathsf{= 100\times10}\)

\(\mathsf{= \bf 1,000}\)

\(\mathsf{\dfrac{9\times100,000}{10\times 1,000}}\)

\(\mathsf{9\times100,000 = \bf 900,000}\)

\(\mathsf{10 \times 1,000 = \bf 10,000}\)

\(\mathsf{\dfrac{900,000}{10,000}}\)

\(\mathsf{= \bf 90}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf 90}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

A rocket is launched from the ground at an angle of 1.02 radians and has traveled 435 yards. The task is to determine the horizontal distance traveled by the rocket and its height above the ground.

The diagram of the situation can be drawn using the given information. The angle of launch can be labeled as 1.02 radians, and the horizontal distance traveled can be labeled as 435 yards. We need to determine the horizontal and vertical components of the rocket's displacement.

The horizontal displacement is the distance traveled by the rocket parallel to the ground, and it can be determined using the formula:

Horizontal displacement = Distance traveled x cos(angle of launch)

Substituting the given values, we get:

Horizontal displacement = 435 x\(cos(1.02)\) = 435 x 0.454 = 197.49 yards (rounded to two decimal places)

The vertical displacement is the change in the height of the rocket from the ground. It can be determined using the formula:

Vertical displacement = Distance traveled x sin(angle of launch)

Substituting the given values, we get:

Vertical displacement = 435 x sin(1.02) = 435 x 0.891 = 388.19 yards (rounded to two decimal places)

Therefore, the rocket has traveled 197.49 yards horizontally from where it was launched, and its height above the ground is 388.19 yards.

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Answer:

900

Step-by-step explanation:

15 TIMES 60 IS 900

Hi there! Hopefully this helps!

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

Answer: There are 900 minutes in 15 hours.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since there are 60 minutes in each hour, we need to multiply the time value by 60. Like this:

15 x 60 = 900.

Answer: 0.195

Step-by-step explanation:

Answer:

|4| - 2 = 2

|4| - 6 = -2

Step-by-step explanation:

Answer:

Riley can only order 2 pizzas

Step-by-step explanation:

1. subtract delivery fee from the 20 dollars.

$20 - $6 = $14

2. Find number of pizzas with the $14 that she can use.

$14 ÷ $5 = 2 R $4

thus she can only buy 2 pizzas

and n = 2 in this case.

Answer

Option D is correct.

Midpoint = (2, 1)

Explanation

The midpoint of two coordinates is obtained by respective x-coordinates together and dividing by 2 and then doing similarly for the y-coordinate.

(-4, -8) and (8, 10)

Midpoint = (x, y)

x = (-4 + 8)/2 = (4/2) = 2

y = (-8 + 10)/2 = (2/2) = 1

Hope this Helps!!!

Answer:

your answer............................

The blanks that makes the logarithm expression complete are filled below

a. 32

b. 1/36

c.8

d. 7ⁿ

A logarithm is a mathematical function that represents the exponent to which a base must be raised to obtain a given number.

hence we can say that, it measures the power to which a base number needs to be raised in order to equal a given value.

a. ㏒₂ 32 = 5 because 2⁵

2⁵ = 2 * 2 * 2 * 2 * 2 = 32

b. ㏒₆ (1/36) = -2 because 6⁻²

applying inverse of logarithm

6⁻² = 1/(6 * 6) = 1/36

c. ㏒₈ 8 = 1 because 8¹

8¹ = 8

d. ㏒₇ (7ⁿ) = n because 7ⁿ

7ⁿ = 7ⁿ

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complete question

Fill the blanks

a. ㏒₂ 32 = 5 because 2⁵ = ___

b. ㏒₆ (1/36) = -2 because 6⁻² = ___

c. ㏒₈ 8 = 1 because 8¹ = ___

d. ㏒₇ (7ⁿ) = n because 7ⁿ =  ___

Answer:

20= 20

21. 10

22. 1.8

23. 4.4

24. 32

25. 7/9

If a=6, b=12,and c=4, then what does 2ab-c^2 equal?

Answer: 2(6)(12)-4^2 = 128

What is the prime factorization of 100,000?

Answer: 2^5× 5^5

Solve for x. 5.8 = 4x+0.2

Answer: x= 1.4

Find the area of this shape.

Answer: Area = 1.21

What is the lateral surface area of this rectangular prism?

Answer: 208 in^2

5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3

Step-by-step explanation:

The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.

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

5.8-0.2=4+0.2−0.2

5.6 = 4x

5.6/4  = 4x/4

x= 1.4

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

Square sides are equal..

A=a^2=1.1^2≈1.21

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

The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.

When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.

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

Answer:

85

Step-by-step explanation:

The range is defined as the difference between the highest observation and lower observation in a data.

Here,

The Highest observation in this data= 91

The Lowest observation in this data=6

Hence,

Range of the data= Highest observation - Lower observation

=91-6=85

Answer:

D

Step-by-step explanation:

2 |  1   5   - 14

          2     14

  -----------------------

     1    7      0 ← remainder = 0

     Quotient is 1x + 7 = x + 7 → D

The output of print(1+3/2*2) is 5.0

This is because the order of operations in arithmetic dictates that multiplication and division should be performed before addition and subtraction.

So, first 3/2 is evaluated which gives 1.5, then 1.5 is multiplied by 2 to give 3, and finally, 1 is added to 3 to get the result of 5.0. Hence, 5.0 will be printed by the print (1+3/2*2).

Note that the result is a floating-point number because division between two integers in Python 3. x always results in a float, even if the result is a whole number.

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The system of linear equations which has the rank of coefficient matrix equal to augmented matrix and equal to the number of unknowns, has only one solution called the unique solution.

Two types of system of equations exist- consistent and inconsistent.

Inconsistent means that it has no solution , i.e. the solution does not exist , here

Rank of augmented matrix is not equal to that of coefficient matrix.

Consistent system means a solution of the equation exists i.e.

rank of augmented matrix = rank of coefficient matrix.

Now, a consistent system can be of two types again - It may have a unique solution ,i.e.

rank of augmented matrix = rank of coefficient matrix = no. of unknowns

or an infinite number of solutions, where

rank of augmented matrix = rank of coefficient matrix < no. of unknowns   (here we need to assign an arbitrary value to a free variable to find its solutions).

For e.g. let us consider the system -

x + y+ z = 0

2x + 3y + 4z = 1

Since , (0,0,0) is obviously satisfying the equation and so is a solution to this system , the given system is a consistent system .

Also, for a system to be consistent , either a unique solution exists or an infinite number of solutions exist. There is no particular number of solutions.

Here, we see that (-1,1,0) is also a solution other than the zero solution.

We can clearly see that the number of unknown variables , x,y,z is 3 and the number of equations is 2.

Thus, The system if there are fewer equations than variables has infinite solutions, equal number of equations as the unknowns has the unique solution.

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The interest she earn in 7years is £287

Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.

The total amount to earn after a specified time if compound interest is :

A = P( 1+r/100)^t

where P is the principal, r is the rate and t is the time

A= 700( 1+ 5/100)⁷

A = 700( 1+0.05)⁷

A = 700(1.05)⁷

A= 700× 1.41

A = £ 987

interest =Amount - Principal

I = 987-700

I = £287

Therefore the interest she will earn in 7years is £287

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Answer:

We need to find the value of x where f(x) < g(x), which means we need to set the two functions equal to each other and solve for x:

3^x = 2x + 5

We can't solve this equation algebraically, so we'll need to use trial and error or graphing to find the solution.

Using trial and error, we can substitute different values of x into the equation and see which one makes f(x) less than g(x):

- If x = -1, then f(x) = 3^(-1) = 1/3 and g(x) = 2(-1) + 5 = 3. Therefore, f(x) < g(x) when x = -1.

- If x = 2, then f(x) = 3^2 = 9 and g(x) = 2(2) + 5 = 9. Therefore, f(x) is not less than g(x) when x = 2.

- If x = -3, then f(x) = 3^(-3) = 1/27 and g(x) = 2(-3) + 5 = -1. Therefore, f(x) is not less than g(x) when x = -3.

- If x = -4, then f(x) = 3^(-4) = 1/81 and g(x) = 2(-4) + 5 = -3. Therefore, f(x) is not less than g(x) when x = -4.

Therefore, the solution is x = -1, and the answer is A.

Answer:

A) (1,0), (3,1), and 4,-1)

Step-by-step explanation:

subtract 2 from all of the y-values

(1,0), (3,1), and (4,-1)

So it's A.

Answer:

The answer is A.

Step-by-step explanation:

It would be best to graph this yourself and move each plot down 2 units. Your answer would be the location of the plots after moving them.

Answer:

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

John types at a rate of 16 words per minute.

With the stable rate, in 4 minutes he types:

The scale factor of 10cm to 5m is 50.

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

For example ,if a length of 5cm is doubled and it gives a length 10cm, the scale factor is 10/5 = 2. This means that we can express scale factor with a formula;

scale factor = new dimension / old dimension

Here, the old dimension is 10cm and the new dimension is 5m. We need to convert the 5m into cm

therefore 5m = 5× 100 = 500cm

therefore scale factor = 500/10 = 50

This means the scale factor of 10cm = 5m is 50

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The length of WYX is 23π/9 units²

The area of a sector when angle is given in radians is:

A = (θ/2) × r²

where θ is the angle subtended at the center and r is the radius of the circle.

In this, VW is the radius. Thus, r = 2 units

13π/9 = (θ/2) × 2²

13π/9 = (θ/2) × 4

13π/9 = 2θ

θ = 13π/18

Thus, the angle subtended by WYX will be:

2π - 13π/18 = 23π/18

Length of an Arc = θ × r

where θ is in radian

Length of WYX = 23π/18 * 2

Length of WYX = 23π/9 units²

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Complete Question

Check attached image

Answer:

y = 5

Step-by-step explanation:

y = mx + c

y = 0x + 5

y = 5

This gives a flat line where y is always 5

Answer:

-29

Step-by-step explanation:

y = 2 (-2) ^3 + 5 (-2) - 3

y = -16 -10 -3

y = -26 - 3

y = -29

Then,f(-2)=?

Answer:

Equations ; 1, 3 , 5 and 6 are correct

Step-by-step explanation:

From the question, we are told that 2 1/2 feet is 5/8 of the height of the tower to be built

Now, we want to get the equation for the height of the tower

we have this as follows;

since we do not know the height of the tower, we can represent it by ?

a. 5/8 of ? = 2 1/2

b. 2 1/2 divided by ? = 5/8

c. 2 1/2 • 8/5 = ?

d. 2 1/2 divided by 5/8 = ?

No, statistics and quantitative data are not necessarily more valid and objective than qualitative research.

While quantitative data can provide precise numerical measurements, it may not capture the full complexity of a particular phenomenon or experience. Qualitative research, on the other hand, can offer rich and nuanced insights into human behavior and attitudes. It allows for a deeper understanding of the context and meaning behind the data.

Ultimately, the choice between quantitative and qualitative research depends on the research question and the goals of the study. Both methods have their strengths and limitations, and it is important to consider them carefully when designing a study.

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