A circle that contains the point (0,7) is centered at the point ( 4.4) . Solve for the equation that defines the circle .

Answer:

8420

weeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

Step-by-step explanation:

r = d/2

r = 4/2

r = 2

pi = 3.14

Circumference = 2 * pi * r

Circumference = 2 * 3.14 * 2

Circumference = 12.56

Area = pi r^2

Area = 3.14 * 2^2

Area = 4 * 3.14

Area = 12.56

0.16 = 0.16161616... as a ratio of integers is 16 : 99

The equation is given as:

0.16 = 0.16161616...

The above is a non-terminating decimal.

It can be represented as:

a/b - 1

Where

a = 16

b = 100

So, we have:

16/100 - 1

Evaluate the difference

16/99

Express as ratio

16 : 99

Hence, 0.16 = 0.16161616... as a ratio of integers is 16 : 99

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Answer:

50%(1/2) I geuss

Step-by-step explanation:

1/5=0.2=20%

20%+30%=50%

50%=1/2(or 2/4,or 3/6)

According to the information, it can be inferred that the total matches that would be played in total are 160,461.

A combination is a term to refer to an arrangement of elements in no particular order. For example:

When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.

To calculate how many matches will be played in total we have to perform the following procedure:

\(= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\\)

As we can see after the combination, the number of games that would be played in this tournament would be 160,461.

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Answer:

8 percent

Step-by-step explanation:

0/100= 39.20/490

39.20 times 100= 3,920 divided by 490= 8

Answer:

1 = yes

2 = no

3 = no

4 = yes

5 = yes

6 = no

7 = no

8 = no

The length of sides of the equilateral triangle is 15 unit.

A triangle is said to be equilateral if all of its sides and angles are equal. An equilateral triangle is also known as an equiangular triangle, since each of its angles has a value of 60 degrees.

Given that its sides and angles are equal, an equilateral triangle is regarded as a regular polygon or triangle.

That means,

9x-12 = 6x -3

9x - 6x = -3 + 12

3x = 9

x = 3

So the side of the equilateral triangle is 6(3) -3 = 15.

Therefore, x =3 and 15 are the sides of the equilateral triangle.

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The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

y = -4x-16

Step-by-step explanation:

m= - 4

The y-intercept of the line that passes through the given point  (-3,-4) is

-4 = -4(-3) + b

-4= 12 +b

b= -16

The equation of the line that passes through the given point  (-3,-4) is

y =mx +b

y = -4x- 16

Answer:

expression 55+.20n

55.+.20x65=$68.00

Step-by-step explanation:

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

Answers:

See the diagram below.

======================================

Explanation:

Let's say we replaced 3x with y for now.

3x+1 is the same as y+1

So we have y+1 = 10

To isolate y, we undo the addition and subtract 1 from both sides.

That means -1 will go in the first two boxes.

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

After that step is done, we have y = 9 which is the same as 3x  = 9 after replacing y with 3x.

3x means "3 times x".

To undo the multiplication, we divide both sides by 3.

Therefore, boxes 3 and 4 will have "3" each.

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

Box 5 has 3 as well because 9/3 = 3.

The final answer is x = 3.

As a check,

3x+1 = 10

3*3+1 = 10

9+1 = 10

10 = 10

It works out.

Refer to the diagram below.

Therefore , the solution of the given problem of probability comes out to be z = 1.036 .

Probability theory is an area of mathematics that focuses on calculating the likelihood that a claim is true or that an event will occur. Chance can be represented by any number between 0 and 1, where 1 is often used to expression certainty and 0 is typically used to denote possibility. The probability that a specific event will occur is depicted in a probability diagram.

Here,

P(z > 1.58) = 0.0571

P(z > -1.35) = 0.9115

P(z < -0.25) = 0.4013

P(-1.96 < z < -0.25) = P(z < z2) - P(z < z1)

P(-1.96 < z < -0.25) = 0.4012936743170763 - 0.4012936743170763

P(-1.96 < z < -0.25) = 0.3763

P(-1.2 < z < 2.1) = P(z < z2) - P(z < z1)

P(-1.2 < z < 2.1) = 0.9821355794371834 - 0.9821355794371834

P(-1.2 < z < 2.1) = 0.8671

Given in the question for the value of Z if only 15% of all possible Z values are larger

P(Z < z) = 0.85

This implies that

P(z < 1.0364333894937898) = 0.85

z = 1.036

Therefore , the solution of the given problem of probability comes out to be z = 1.036 .

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Answer: $95

Step-by-step explanation:

Let's say Maria is M, Hans is H and Alan is A.  Maria has M amount of money.  If Hans has 10 more than Maria, he has M+10.  If Alan has 3 times what Hans has and Hans has (M+10), then Alan has 3(M+10) which is 3M+30.  Altogether they have 95 dollars.  So we will add up what they have and set it equal to 95.  M+10+M+30+3M=95.  That simplifies to 5M+40=95 and 5M=55.  Therefore, Maria has 11 dollars.  Hans has 10+11=21, and Alan has 3(21)=63.  11+21+63=95

Explanation

We are given the following right-angled triangle:

We are required to determine the indicated angle in the given figure.

This is achieved thus:

According to the image, we have:

Therefore, we have:

Hence, the answer is:

Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.

Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.

Here,

Beans=12*40

=480

cost of beans=12*5

=$60

Carrot=15*36

=540

cost of carrot=15*7

=$105

Corn=2*50

=100

cost of corn=2*3

=$6

Total seeds=1120

Total cost=$171

Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.

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Answer:

okay i'll keep this in mind

Step-by-step explanation:

Answer:

D 0.89275

Step-by-step explanation:

Answer:

There were 7 small boxes and 14 large boxes shipped.

Step-by-step explanation:

This problem may be solved by a system of equations:

I am going to say that:

x is the number of small boxes used

y is the number of large boxes used

There were twice as many large boxes shipped as small boxes shipped

This means that y = 2x

Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.

This means that 45x + 80y =1435

So we have to solve the following system:

y=2x

45x + 80y =1435

45x + 80 (2x) = 1435

205x = 1435

x= 1435/205

x=7

y=2x= 2(7) = 14

There were 7 small boxes and 14 large boxes shipped.

The simplified expression is \(-4x^2 + 3x + 1\), which is a quadratic polynomial. Option D.

To simplify the expression \((8x^2 + 3x) - (12x^2 - 1)\), we can distribute the negative sign to each term within the parentheses:

\(8x^2 + 3x - 12x^2 + 1\)

Next, we can combine like terms by adding or subtracting coefficients of similar powers of x:

\((8x^2 - 12x^2) + 3x + 1\)

Simplifying further, we have:

\(-4x^2 + 3x + 1\)

The resulting polynomial \(-4x^2 + 3x + 1\) is a quadratic polynomial since it has a highest power of x^2 (the exponent of x is 2), which is\(-4x^2.\)Quadratic polynomials are polynomials of degree 2 and can be represented by a parabola when graphed.

In summary, the simplified expression \((8x^2 + 3x) - (12x^2 - 1)\) simplifies to \(-4x^2 + 3x + 1\) , which is a quadratic polynomial. So Option D is correct

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Note the complete question is

This transformation of the polygon ABCD to A'B'C'D' is a by a factor of 2√5.

The coordinates are given as:

First polygon: A (-3, 7), B (-4, 9), C (-7, 9), and D (-4, 5).

Second polygon: A' (3, -4), B'(3, 6), C'(8, 2.8), and D'(7.2, -1.9)

Calculate the distance AB and A'B' using:

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ AB = √ (-4 + 3)² + (9 - 7)²

⇒ AB = √1 + 4

⇒ AB = √5

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ A'B' = √ (3 - 3)² + (6 + 4)²

⇒ A'B' = 10

This gives, Divide A'B' by AB to determine the scale factor (k)

k = 10 / √5

k = 2√5

Hence, this transformation is a by a factor of 2√5

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Answer:

Reflection and 2

Step-by-step explanation:

for plato

Answer:

The solution is in the attached file

Answer:

The answer would be D)

Step-by-step explanation:

The angles of a triangle ALWAYS add up to 180. 70+ 70= 140

140+40= 180

Answer:

Negations.

Step-by-step explanation:

The first statement is:

p ∧ q

(p and q)

This statement is only true when:

p = true

and

q = true.

And is false in all the other cases.

The other statement is:

¬q ∨ ¬p

(not q or not p)

This statement is only true if at least one of the elements is true, this happens if:

q =false (then ¬q = true)

or

p = false (then ¬p = true)

Then the first statement needs p and q to be true.

The second statement needs at least one of these to be false.

This means that when the first statement is true, the second statement is false.

When the first statement is false, the second one is true.

Then the statements are negations.

Answer:

A. Yes, the result is a binomial probability distribution.

Step-by-step explanation:

The experiment above depicts a binomial probability distribution because the 4 required conditions are met :

1.) The distribution is independent as the possible outcome of each trial is the same.

2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No

3.) The number of observation is fixed at sample size of 5500

4.) The probability of success and failure of each trial is the same for all trials in the sample.

Hence, we can conclude that the experiment depicts a binomial probability distribution.

With a mean of $32,500 and a standard deviation of $2,500. The z-score for a sales associate who earns $37,500 is 2.

The z-score, also known as a standard score, is a measure of how many standard deviations a given value is from the mean. It is used to standardize the data and make it easier to compare and interpret. The formula for the z-score is:

z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

In this case, the mean annual salary for sales associates from a particular store is $32,500 and the standard deviation is $2,500. We want to find the z-score for a sales associate who earns $37,500. Plugging in the values, we get:

z = ($37,500 - $32,500) / $2,500 = 2

This means that the sales associate's salary is 2 standard deviations above the mean.

Interpreting the z-score can help us understand how unusual or typical a given value is in comparison to the mean. In this case, a z-score of 2 indicates that the sales associate's salary is relatively high compared to the mean, but it is not an extremely high salary.

We can use a standard normal table to find the proportion of the data that falls below a given z-score, or to find the corresponding value for a given proportion of the data.

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Answer:

Step-by-step explanation:

The solution to a pair of linear equations will be at their common intersection.

Appears to me to be at (2, 4)

but we could check the math

y = x + 2

4 = 2 + 2

4 = 4  checks out on that line

y = -0.5x + 5

4 = -0.5(2) + 5

4 = -1 + 5

4 = 4  yup, checks out on that line too.

That will be the ONLY point that satisfies both equations.