Rotation of a Point
What is the image of the point (-7, 9) after a rotation of 270° counterclockwise
about the origin?
(00)

Answer: $323,050

Step-by-step explanation:

355,000 over 1 x 9 over 100 = 3195000 over 100 (31950)

355,000- 31,950 = 323,050 which is your answer, hope this helped <3

The minimum temperature in Salt Lake City in December is 5 degrees Fahrenheit.

The average December temperature in Salt Lake City, Utah, is 10 degrees Fahrenheit. The actual December temperature can vary in Salt Lake City by 5 degrees Fahrenheit either above or below the average.

We need to find out the minimum temperature in Salt Lake City in December. Let the temperature be denoted by the variable "M". The minimum temperature is the difference between the average temperature and the variation in the temperature.

M = 10 - 5

M = 5

Hence, the minimum temperature in Salt Lake City in December is 5 degrees Fahrenheit.

To learn more about temperature, visit :

https://brainly.com/question/11464844

#SPJ9

In the equation 2[(4m * 3.5) / 400] = 171.5, the value of m is 2450

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

In the equation given;

2[(4m * 3.5) / 400] = 171.5

To solve for m, we have to expand the bracket and make m the subject of formula.

2[(4m * 3.5) / 400] = 171.5

2[14m/400] = 171.5

28m / 400 = 171.5

28m = 400 * 171.5

28m = 68600

m = 68600 / 28

m = 2450

Learn more on equations here;

https://brainly.com/question/13729904

#SPJ1

Answer:

a) 1/11

b) 2/11

c) 0/11

d) 4/11

e) 9/11

Step-by-step explanation:

'MATHEMATICS' has 11 letters.

a) there is only one H out of the 11 letters meaning the probability is 1/11

b) there are two M s out of the 11 letters meaning the probability is 2/11

c) there is no B in the word meaning the probability is 0/11

d) there are four vowels (2 A s, 1 E and 1 I) out of the 11 letters meaning the probability is 4/11

e) there two A s in the word and 11-2=9 meaning the probability is 9/11

Hope this helps :)

Answer:

i think it is 18

Step-by-step explanation:

because if he brought 6 for $18 and it was in sale for $3 that means there is no tax

The coordinate of point C will be (5, 5). Then the correct option is A.

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

On a direction plane, the place of two companions can be characterized by the focuses A(1,3) and B(7,6). Their instructor is remaining at point C, and the educator's separation from point An is two times the separation from Point B.

The ratio is given as 2:1.

x = (7 × 2 + 1 × 1) / (2 + 1)

x = 15 / 3

x = 5

y = (6 × 2 + 1 × 3) / (2 + 1)

y = 15 / 3

y = 5

The coordinate of point C will be (5, 5). Then the correct option is A.

More about the section of the line link is given below.

https://brainly.com/question/6582647

#SPJ1

The frequency distribution based on the information given is illustrated below.

What is the frequency distribution of table?

A frequency distribution table is the chart that summarizes all the data under two columns - variables/categories, and their frequency.

It should be noted that the distribution table has two or three columns and the first column lists all the outcomes as individual values or in the form of class intervals, depending upon the size of the data set.

Given the above information the frequency distribution table is:

Cost of living[tex]\begin{table}[]\begin{tabular}{ll}Cost of living & Number of States \\85.0 - 94.9 & 9 \\95.0 - 104.9 & 5 \\105.0 - 114.9 & 0 \\115.0 - 124.9 & 2 \\125.0 - 134.9 & 2 \\135.0 - 144.9 & 1 \\145.0 = 154.9 & 1 \end{tabular}\end{table}[/tex]   Number of states

85.0 - 94.9             9

95.0 - 104.9         5

105.0 - 114.9         0

115.0 - 124.9         2

125.0 - 134.9         2

135.0 - 144.9         1

145.0 - 154.9         1

Find out more about Frequency Distribution:

https://brainly.com/question/28158931

#SPJ1

The markup price on the table would be $32.

So, we have:

Now, calculate the makeup price:

Mark-up price = Discount * Selling Price

Mark-up price = (28/100) * 114

Mark-up price  = 31.92

Mark-up price ≈ 32.

Hence, the markup price on the table would be $32.

To know more about markup prices check the given link:

https://brainly.com/question/1153322

#SPJ1

The equations of both trees are Tree A = 38 + 6t and Tree B = 20 + 9t and the growth interval of tree A is t < 6

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

Tree A

Tree B

The height after t years is

Tree = Initial height + rate * t

So, we have

Tree A = 38 + 6t

Tree B = 20 + 9t

Recall that

Tree A = 38 + 6t

Tree B = 20 + 9t

When Tree A is taller than Tree B, we have

38 + 6t > 20 + 9t

Evaluate the like terms

-3t > -18

Divide

t < 6

Hence, the interval is t < 6

Read more about linear equations at

https://brainly.com/question/2030026

#SPJ1

Answer:

8421/10000

Step-by-step explanation:

8421/10000

The domain of the given function f(x) = (-x - 9)^(1/2) is; C) (-∞, -9)

The domain of a function is defined as the set of all possible input values that make the function possible.

Now, we are given the function;

f(x) = (-x - 9)^(1/2)

This can also be written as;

f(x) = √(-x - 9)

Now, since the item in bracket seems to be negative, we can say that we want to find the lowest term for which the function in bracket is zero because when the function in the bracket is negative, then the function is a complex number. Thus;

At (-x - 9) = 0

-x = 9

x = -9

This will be the maximum value of x while the minimum value will be negative infinity.

Read more about Domain at; https://brainly.com/question/2264373

#SPJ1

The volume of the cylinder in cubie centimeter is 628 [tex]cm^{3}[/tex]

How to find the volume of cylinder?

1. Find the radius of the circular base: Since both circles are the same size, either one will work. Move on if you are aware of the radius. If you don't know the radius, you can divide the diameter of the circle by 2.

2. Find the height of the cylinder : Continue if you already know the height. Otherwise, measure it with a ruler. The height is determined by the separation of the two bases' edges.

diameter (d) = 20

radius = [tex]\frac{20}{2}[/tex]

        r = 10

height (h) = 2cm

volume v = [tex]\pi r^{2} h[/tex]

            v = 3.14(10*10)2

               = 628 [tex]cm^{3}[/tex]

To learn more about finding the volume of cylinder from the given link  

https://brainly.com/question/23935577

#SPJ1

Answer:

We can see that as x increases, y decreases. This indicates a negative slope meaning that the two variables are negatively related.

Hope this helps! :)

The descending order to the list is 1, 4/5, 41%, -1.3, -7/4.

What us descending order?

When numbers are arranged from greatest to smallest or highest to lowest it is said to be in descending order.

Main Body:

To solve this question we need to convert all numbers into decimal system.

calculate:

1 can be written as 1.00

4/5 can be written as 0.8

-7/4 = -1.75

41% = 41/100 = 0.41

-1.3 can remain as it is because it itself is in decimal form.

Hence the order from greatest to smallest is as

1 > 0.8 > 0.41 > -1.3 > -1.75

To learn more about descending order click on the link below

https://brainly.com/question/24299432

#SPJ1

After simplifying the expression, the value of y is 4.53.

In the given question,

We have to solve for y.

The given expression is 116° +15y - 4=180.

To solve for y we simplify the expression.

The expression is 116° +15y - 4=180

Now simplifying the expression.

Add 4 on both side

116° +15y - 4+4=180+4

116° +15y=184

Subtract 116 on both side

116° +15y-116°=184-116°

Simplifying

15y=184-116°

15y = 68

Divide by 15 on both side

15/15 y=68/15

y=4.53

Hence, the value of y is 4.53.

To learn more about simplifying link is here

https://brainly.com/question/24161414

#SPJ1

Answer: 16

Step-by-step explanation:

Answer:

48 fl oz = 6 c

4 gal = 16 qt

Step-by-step explanation:

4 times 4 is 16

48 divided by 8 is 6

a) The current bond price (present value) is $420.03.

b) The percentage by which the price of bonds will increase between now (current) and maturity (18 years) is 138%.

The current bond price represents its present value.

The present value is the discounted future cash inflows.

We can compute the present value using an online finance calculator as follows:

N (# of periods) = 18 years

I/Y (Interest per year) = 12$

PMT (Periodic Payment) = $40 ($1,000 x 4%)

FV (Future Value) = $1,000

Results:

PV = $420.03

Sum of all periodic payments = $720.00

Total Interest = $1,299.97

Percentage increase in bond price = [(Future value - Present value)/Present value x 100]

= 138% [($1,000 - $420.03)/$420.03 x 100]

Thus, the present value of the bonds $420.03 will grow by 138% at maturity.

Learn more about the present value at https://brainly.com/question/15904086

#SPJ1

Answer:

  8

Step-by-step explanation:

You want the period of a sinusoidal function that has a graph with peaks at x=1 and x=9.

The period is the difference between x-values where the function repeats itself. Typically, we can determine the period from corresponding recognizable features of the graph.

Here, the graph has peaks at x=1 and x=9. The period is the difference between these x-values:

  period = 9 - 1 = 8

The period of the function is 8 units.

__

Additional comment

In more formal terms, the period p of a function is the smallest value of p such that f(x -p) = f(p).

He needs to buy 7 bags of fertilizer to fertilize the garden

The radius of the garden = 10 feet

The area of the garden A = π × [tex]r^2[/tex]

Where A is the area of the garden

r is the radius of the garden

Substitute the values in the equation

A = π × [tex]10^2[/tex]

= π × 100

= 314.16 feet square

Each bag of fertilizer covers 50 square feet

Then the number of bags required to fertilize the garden = The area of the garden / 50

Substitute the values in the equation

= 314.16 / 50

= 6.28

≈ 7 bags

Hence, he need to buy 7 bags of fertilizer to fertilize the garden

Learn more about area here

brainly.com/question/28642423

#SPJ1

By solving a linear equation, it can be calculated that

The space station is at a distance of 144000 miles from NASA headquarters

What is linear equation?

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved

Let the space station be d miles from NASA headquarters

Speed of the first rocket = 19200 miles/hour

Speed of the second rocket = 18000 miles /hour

Time taken by the first rocket to reach the space station = [tex]\frac{d}{19200}[/tex]

Time taken by the second rocket to reach the space station = [tex]\frac{d}{18000}[/tex]

By the problem,

[tex]\frac{d}{18000} - \frac{d}{19200} = 0.5\\\\\frac{16d - 15d}{288000} = 0.5\\\\\frac{d}{288000} = 0.5\\\\d = 288000 \times 0.5\\\\d = 144000 \ miles[/tex]

The space station is at a distance of 144000 miles from NASA headquarters

To learn more about linear equation, refer to the link-

https://brainly.com/question/2030026

#SPJ1

Answer: $402

Step-by-step explanation: I believe this answer is correct i did all the math

Answer: 324

Step-by-step explanation: 10% is the same as 1/10

360/10 is 36

360-36= 324

meaning 324 students now attend Haley elementary school <3

hope this helps <33

Answer: 78 ÷ 3 = 26

Step-by-step explanation:

     We are given that there are 3 groups shown. This means we will be dividing by 3.

     We are given that each group has 2 ten rods (20) and 6 ones cubes (6). This means the answer is 26.

     Lastly, 26 * 3 = 78, meaning we are dividing 78 by 3.

This gives us:

     78 ÷ 3 = 26

Answer: no slope

Step-by-step explanation:
m= y2-y1/x2-x1

m= 6-(-6)/4-4

m=12/0

m= no slope

Answer:

y = 0.8x - 0.8

Step-by-step explanation:

Δy ÷ Δx = gradient (x)

4 - -4 = 8

6 - -4 = 10

8 ÷ 10 = 0.8

equation of line; y = mx + c

substitute one of the coordinates into the equation

(6, 4) y  = 4, x = 6

4 = 0.8(6) + c

4 = 4.8 + c

- 4.8 to get the y intercept on it's own

-0.8 = y intercept (c)

confirmation

substitute the new values to get the other y

(-4, -4) y = -4 <-- should be the answer, x = -4

y = mx + c

y = 0.8(-4) - 0.8

y = -3.2 - 0.8

y = -4 the gradient and the y intercept have been proven right

The function operation (f + g)(x) of the functions f(x) = √( 16x⁴ ) and g(x) = 3x² - 3x - 5 is -5x² + 5x - 7.

A function is simply a relationship that maps one input to one output.

Given the functions in the question;

To determine the function operation (f + g)(x), replace the function designators with the functions and simplify.

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

(f + g)(x) = √( 16x⁴ ) + ( 3x² - 3x - 5 )

Replace √( 16x⁴ ) with 4x²

(f + g)(x) = 4x² +  3x² - 3x - 5

Collect and add like terms

(f + g)(x) = 7x² - 3x - 5

Therefore, the function operation (f + g)(x) is 7x² - 3x - 5.

Option A is the correct answer.

Learn more about functions here: brainly.com/question/2541698

#SPJ1