Help in writing an equation. I believe that it is supposed to be a linear equation

The general equation of a circle is expressed as

Given that a circle having equation

is moved up 3 units and 1 unit to the left. Thus, we have

This gives

Comparing equations 1 and 2, we have

Hence,

the center (a, b) of the circle is (1, 8),

the radius r of the circle is 4,

the equation of the circle is

Answer:

$20,628

Explanation:

The amount that Logan will repay can be calculated as:

Where P is the amount that she will borrow, r is the annual rate and t is the time in years.

So, we can replace A by 23000, r by 6%, and t by 23/12 because a year has 12 months. Then:

Finally, to know the maximum amount that Logan can borrow, we need to solve the equation for P as:

So, the answer is $20,628

Remember that

For a 95% confidence interval --------> the value of z=1.960

Find out the value of

therefore

EXPLANATION

We need to multiply the number of needed milligrams by the weight of the patient, but first turning the weight in lbs into kilograms,

Now, multiplying the obtained weight by the number of miligrams, give us the dose:

In conclusion, the nurse should give 2989 mg of the drug.

Given the system of equations, solve the third equation for y, as shown below

And, solve for z in the second equation,

Thus, substitute the values of y and z in terms of x into the first equation, as shown below

Then, solving for y and z given x=2,

To verify the solutions, substitute the values we found into the three equations of the system, as shown below

The position of the scuba diver is 23 1/60 feet.

From the information, the scuba diver descended 19 5/12 feet blow sea level and then he descended another 3 3/5 feet.

The position of the diver will be. the addition of the fraction for descending. This will be:

= 19 5/12 + 3 3/5

= 19 25/60 + 3 36/60

= 22 61/60

= 23 1/60

Note that your information is incomplete as the question was answered based on information given.

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11 new cars

8 used cars

12 new trucks

10 used trucks

Total vehicles

11+8+12+10 = 41

It is the denominator of the fraction.

The subset "used" + "cars" has 11 (new cars) + 8 (used cars) + 10 (used trucks) = 29 elements.

It is the numerator of the fraction.

P(U or C) = 29/41

I will withdraw 3 % of the of my weekly pay for federal income tax.

An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate. Individuals (or family units) and corporations are subject to income taxes. The basis for calculating individual income tax is the income received. Since the burden is presumably on the individuals who pay it, it is typically categorized as a direct tax. Income taxes are assessed against both businesses and people based on their profits. Taxable income can be earned from a variety of sources, including earnings, salaries, dividends, interest, royalties, and rent.

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Hello there. To solve this question, we have to remember some properties about polar coordinates.

Given a point (x, y) and we want to plot the graph for (r, theta) after making the transformation, the graph will be something like the following:

In this case, we want to graph the point (5, 3pi/4)

First, notice 3pi/4 = 75º, which is in the first quadrant.

Therefore the graph will indeed look like the one above:

Which is the option contained in the first answer.

Consider that you have a population greater than 30, then, you can use the normal distribution to determine the margin of error.

Use the following formula:

where:

x: mean = 33

s: standard deviation = 2

n = 31

Z: z-value for 98%

The value of Z can be found on a table for the normal distribution. For a margin of error at 98%, you get for Z:

Z = 2.326

Replace the previous values of the parameters into the formula for the margin of error (confidence interval):

Then, the margin of error is:

(33.00 - 0.83 , 33.00 + 0.83) = (32.17 , 33.83)

The equation of a circle is defined as

Given that the radius of the circle is 2, then the equation of the circle is

Which can then be simplified to

And we can rearrange the equation

Which means that it cannot be the equation

Apply trigonometric functions:

Cos a = adjacent side / hypotenuse

Where:

a = angle = 59°

adjacent side = 34

Hypotenuse = x

Replacing:

Cos 59 = 34 / x

Solve for x:

x = 34 / cos 59

x = 66

Explanation

Step 1

remember

then, to find the value of the tax, multiply 4.95 0 0.085

so, the total cost is

total =2 smoothies +(taxes for 2 smoothies)

total=(2*4.95)+(2*0.42075)

total=9.9+0.8415

total=10.7415

so, Nayebi paid $10.7415

Answer:

They are parallel to each other

Explanation:

Two lines are parallel if they have the same slope.

Additionally, in an equation with the following form:

y = mx + b

The number m beside the x, is the slope

So, in this case, both equations have a 3 besides the x, then, they are parallels

Setting the given equation equals -4 we get:

Notice that:

Therefore, f(x)=-4 when x=3/2 or x=3/4.

Answer:

• Mean Slope = -7

• c=0.5

Explanation:

Given the function:

Part A

We want to find the mean slope on the interval [-6, 7].

First, evaluate f(7) and f(-6):

Next, substitute these values into the formula for the mean slope.

The mean slope of the function over the interval [-6,7] is -7.

Part B

Given the function, f(x):

Its derivative, f'(x) will be:

Replace c for x:

Equate f'(c) to the mean slope obtained in part a.

Solve for c:

The value of c that satisfies the mean value theorem is 0.5.

Considering the Set A and B given, Applying inclusion - exclusion principle the number of elements common to both Sets is 10

This is a counting techniques that ensures that elements are not counted twice

It is achieved by the formula:

(A ∪ B) = n(A) + n(B) - n(A ∩ B)  

The information from the question include the following

Set A contains 48 elements

Set B contains 16 elements

The total number elements in either Set A or Set B is 54

Applying inclusion - exclusion principle gives the formula

Set A + Set B - ( Set A ∩ Set B ) = Set A ∪ Set B

substituting the values gives

48 + 16 - ( Set A ∩ Set B ) = 54

48 + 16 - 54 = ( Set A ∩ Set B )

10 = ( Set A ∩ Set B )

( Set A ∩ Set B ) = elements Sets A and B have in common

Therefore the number of the elements common to Sets A and B  is 10

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To plot in the plane points with fraction number coordinates (x or y) you can rewrite the fractions as decimal numbers:

Then, you have the next coordinates;

(- 2.5, 2) and (1, -0.25)

And the next graph:

Use a line to link the points

In January this year, 45 inches of snow. In January last year, it was 19 inches. The difference betwen the measures gives us how much more was received this year.

This difference

= 45 inches - 19 inches

= 26 inches

Find the quotient given below:

When managing complex numbers, we must recall:

Multiply and divide the expression by the conjugate of the denominator:

Multiply the expressions in the numerator and in the denominator. We can apply the special product formula in the denominator:

Operating:

Operate and simplify:

Applying the property mentioned above:

Simplifying:

The most appropriate choice for linear inequation will be given by-

[tex]m > \frac{1}{2}[/tex] is the correct solution

What is linear inequation?

At first it is important to know about algebraic expressions.

Algebraic expressions consists of variables and numbers connected with addition, subtraction, multiplication and division.

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by > , < , [tex]\geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here,

The given inequation is [tex]\frac{1}{2} - \frac{m}{4} < \frac{3}{8}[/tex]

Now,

[tex]\frac{1}{2} - \frac{m}{4} < \frac{3}{8}\\\\\frac{m}{4} > \frac{1}{2} - \frac{3}{8}\\\\\frac{m}{4} > \frac{4 - 3}{8}\\\\\frac{m}{4} > \frac{1}{8}\\\\m > \frac{1}{8} \times 4\\m > \frac{1}{2}[/tex]

The number line has been attached here.

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The probability = outcome/total outcomes

The total of the outcomes is the total number of the letters of the given word, then

The total outcomes = 11

The outcome is the number of letter "s" in the word

The outcome = 4, then

The probability of "s" is

To change it to percent multiply it by 100% and round it to the nearest 1 decimal place

The answer is 36.4%

Answer C

Answer:

Step-by-step explanation:

n b

Answer:

Options 1, 3, and 4.

Explanation:

Given the expression:

Step 1: The term -2(x-2)² is simplified by first squaring the expression x-2.

Step 2: The parentheses are eliminated through multiplication.

Step 3: After multiplying, the like terms are combined by adding and subtracting.

The three options that are correct are Options 1, 3, and 4.

After 15 weeks Milo's weight is 39 pounds.

According to the question,

We have the following information:

Weight of Milo = 11 pounds

Milo gained weight at the rate of 2 pounds per week.

So, we have the following progression:

11, 13, 15, ....

Now, we will subtract the previous term from the next term to check whether it is an arithmetic progression or not.

15-13 = 2

13-11 = 2

So, it is an A.P.

We know that following formula is used to find the nth term:

an = a+(n-1)d where a is the first term, n is the number of term and d is the common difference

We have weight of Milo as 39 pounds.

11+(n-1)2 = 39

11+2n-2 = 29

2n+9 = 39

2n = 39-9

2n = 30

n = 30/2

n = 15

Hence, it will take 15 weeks to reach Milo's weight at 39 pounds.

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SOLUTION:

We are to select the quadratic equation that has no real solution.

Facts about Quadratic equations;

When considering,

If you get a positive number, the quadratic will have two unique solutions. If you get 0, the quadratic will have exactly one solution, a double root. If you get a negative number, the quadratic will have no real solutions, just two imaginary ones.

Looking at all the four options, I have examined all and the only one found to be negative is the second option. Let's consider it together

a = 9, b = -25 and c = 30

(b x b ) - 4 x a x c

(-25 x -25) - 4 (9) (30)

625 - 1080

- 455

-455 < 0

Since the discriminant is less than this quadratic equation is expected to have no real solution.

You can as well try the other three options one is zero and the remaining two are greater than zero.

Answer: [tex]m=\frac{y_2 -y_1}{x_2 -x_1}[/tex]

Step-by-step explanation:

[tex]y_2 =m(x_2 -x_1)+y_1\\\\y_2 -y_1=m(x_2 -x_1)\\\\m=\frac{y_2 -y_1}{x_2 -x_1}[/tex]

Solution:

Given:

The table of values is given:

From the table,

We see the data is a linear function. This is because a linear function has domain values at regular intervals.

Also, the linear equation can be formed as shown below, indicating it is a linear function.

Considering two points, (3,1) and (1,2)

where,

A linear equation is of the form;

From the above, has confirmed it is a linear function and not an exponential function, we can deduce that;

a) The function is not an exponential function.

b) The domain values (x-values) are at regular intervals

c) The range values (y-values) have a common difference of 1

Therefore, the correct answer is OPTION A

Given that;

The blueprint shows an apartment with an area of 15 square inches.

With scale

1 inch : 8 feet

Recall that;

Area of a square is;

Let l represent the length of the side on the blueprint;

The actual length will be;

So, the actual Area will be;

substituting the valuye of the blueprint Area;

we must find b one of the parallel sides before proceeding to find h

from the diagram b = 7cm