Use your calculator to find tan−1(5) to the nearest degree.

1) To determine a reflection across the x-axis, the rule to be followed is

Pre-Image Image

(x,y) --------------------> (x, -y)

A reflection across the y-axis follows this one:

Pre-Image Image

(x,y) --------------------> (-x, y)

2) Let's pick one point from the pre-image and the image on the graph

Since A (-2,0) and F (1,-3) then we cannot state that there was a reflection across the x-axis or y-axis.

3) The answer is neither

Answer:

9p-25

Step-by-step explanation:

always do parentheses first

-5(-10p + 8p -5)-p

multiply negative with negative gives positive

-5(-2p-5)-p

variable always has a 1 in front

10p-1p-25

9p-25

The table of 3 × 3 such that the sum of any row, column, or even diagonal is 30.3 has been created below.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

Subtraction = Minus of any two or more numbers.

The third grid in first raw will be → 39.3 - (14.9 + 10.7) =  13.7

The third grid in second raw will be→ 39.3 - (13.7 + 11.3) = 14.3

The 2nd grid of 2nd raw will be → 39.3 - (17.9 + 11.3) = 13.1

The 1st grid in 2nd column will be→ 39.3 - (13.1+14.3) = 11.9

The 1st grid of 3rd raw will be → 39.3 - (14.9+11.9) = 12.5

The 2nd grid of 3rd raw will be → 39.3 - (12.5 + 11.3) = 15.5

Hence "The table of 3 × 3 such that the sum of any row, column, or even diagonal is 30.3 has been created below".

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Student C raised the least amount of money after walking 8 miles.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

Given that;

Condition for A;

The equation y = 14x represents the amount of money raised (y) for walking (x) miles.

Condition for B;

$42 is raised after walking 3 miles.

Condition for C;

Miles Walked =    6           9

Money Raised =  $72      $108

Now, For student A;

The amount of money raised for walking 8 miles will be;

⇒ y = 14x

⇒ y = 14 × 8

⇒ y = $112

So, The amount of money raised for walking 8 miles = $112

For student B;

The amount of money raised for walking 1 miles will be;

= $42 / 3

= $14 per mile

Hence, The amount of money raised for walking 8 miles will be;

= $14 x 8

= $112

So, The amount of money raised for walking 8 miles = $112

For student C;

The amount of money raised for walking 1 miles will be;

= $72 / 6

= $12 per mile

Hence, The amount of money raised for walking 8 miles will be;

= $12 x 8

= $96

So, The amount of money raised for walking 8 miles = $96

Therefore,

Student C raised the least amount of money after walking 8 miles.

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Answer:

what do you need to be helped with please

A bottle of 150 vitamins costs $5.25.

The cost varies directly with the number of vitamins in the bottle.

What should a bottle with 250 vitamins cost?

Let C denotes cost and V denotes the number of vitamins.

The direct variation equation is

Let us first find the value of k (constant of proportionality)

Now the cost of 250 vitamins may be found as

Therefore, the cost of 250 vitamins is $8.75.

If x and y are in direct proportion and y is 2 when x is 4 and  y is 6 when x is 12.

By definition of proportionality,

If y is directly proportional to x,

y α x

i,e y = k(x)

K is the constant of proportionality

when x = 4, y =2

2 = k(4) --> k = 1/2

Now y = k.x

       y = 1/2 (12)

       y = 6

The proportional constant  is a ratio that connects two given values ​​in a so-called proportional relationship. Other names for the constant of proportionality are constant ratio, constant rate, unit rate, constant of variation, or even  rate of change.

To find the constant of proportionality, first identify the variables x and y. To find out the relationship between weight and number of sticks, x is the weight and y is the number of butter sticks. Use the equation k = y÷ x to find the constant of proportionality.

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Answer:

Slope = -1

y-intercept = 2

Step-by-step explanation:

Equation of a line in slope-intercept form is

y = mx + b

where m = slope and b =y-intercept

Here we have

3y = -3x + 6

Dividing by 3 on both sides:
y = -1x + 2

So slope m = -1, y-intercept b = 2

Answer:

[tex]y\le-\frac{1}{4}x^{2}+\frac{1}{2}x+12[/tex]

Step-by-step explanation:

It has to have a y-int of +12 so that eliminates the first 2.

It needs to be contained inside the parabola therefore the x^2 value needs to be negative.

It needs to be shifted 1/2 to the right, therefore it needs a pos x value.

Hope that helps

The solution of the system of equations 2xy = z, 4x + z = 4y, y = x + 1 are:

x = 1, y = 2, z = 4 and;

x = - 2, y = - 1, z = 4.

Consider the system of equations,

2xy = z                                                                                              ------------(1)

4x + z = 4y                                                                                       ------------(2)

y = x + 1                                                                                            -------------(3)

Substituting equation (3) in equation (2),

4x + z = 4y

4x + z = 4( x + 1)

4x + z = 4x + 4

z = 4

Substituting equation (3) in equation (1),

2xy = z

2x( x + 1 ) = z

2x² + 2x = 4

x² + x = 2

Hence, x = 1, - 2

Therefore,

When x = 1,

y = x + 1 = 2

When x = - 2, y = x + 1 = - 1

So, the solution for the system of the equations are x = 1, y = 2, x = 4 and x = - 2, y = - 1, z = 4.

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Before we write the sentence comparing the densities, let's first calculate them. The density is given by the ratio between the amount of cattle and the area of the country.

The ratio for United States is:

The density of cattle for United States is 19.989 cattle/square mile.

Doing the same calculation for the other country:

The density of cattle for Republica is 40.573 cattle/square mile.

To do a relative comparison, we can do it by finding the ratio between those densities.

A sentence that makes a relative comparison would be:

The density of cattle in United States is less than the density of cattle in Republica, representing only 49.27% of the density of cattle in Republica.

The set of whole numbers or natural numbers are the ones that appear naturally, which would go from 0 and beyond. While the set of integers are the numbers that don't have any decimal point, which would include negative numbers. Therefore the correct answer is the last option.

Given that, in 5 months, firefighters responded to 80 wildfires:

• You can determine the rate of wildfires per month firefighters respond to by dividing 80 wildfires by 5 months:

You can determine that each rectangle of the diagram provided in the exercise represents the rate obtained above.

• Assuming that the rate is the same in 8 months, you can multiply the rate obtained before by 8 months, in order to determine the number of wildfires the firefighters will respond to in 8 months:

Hence, the answer is:

SOLUTION

A Scatter Plot has points that show the relationship between two sets of data.

When the line shows a negative slope, the correlation is a negative correlation

Consider the image below

This shows a perfect Negative correlation between the set of data.

Hence

The Second option is Right(2)

People surveyed P = 200

Then

40% soccer= 200x40/100= 80

10% swimming= 200x10/100= 20

20% tennis= 200x 20/100= 40

30% basketball= 200x 30/100= 60

))How many favor soccer than swimming?

= 80 - 20= 60

Then answer is 60 people

We want to identify the linear function.

Of course,

a linear function is going to be a line

The vertical line test is for understanding whether it is a function or not.

By vertical line test,

Picture 1 [passes]

Picture 2 [passes]

Picture 3 [fails]

Now, we can clearly see that Option B is the a straight line, hence a linear function.

A system of equations has infinite solutions when both equations are equivalent.

To check if two equations are equivalent, write both of them in the same form. If the coefficients are proportional, including the constant terms, then they are equivalent.

Option 1

The first equation is written in general form. Isolate the constant term on the second equation to write it in general form:

Notice that if we multiply the second equation by 3 on both sides, we will get the same coefficients as in equation 1:

Then, both equations are equivalent.

Therefore, this system has infinite solutions.

Option 2

Since there is no constant term in the secon

(a).A bank tellers’ hourly wage will increase from $24 to $27.60.

The increament n wage is

Therefore, the percent of increament is

Therefore, it represents 15% increament.

(b). An employee’s salary for Alar Services is $37,500. Next year, she will get an 8% increase in salary.

So, new salary is

Therefore, new salary is $40500.

8 + 2(6 - 3) / 6

we will be using order of operation

pemdas

firstly we will solve the parentheses

= (6 - 3)

= 3

8 + 2(3) / 6

Secondly we will open the parentheses with 2

= 8 + 6/6

thirdly, we will do the division

= 6/6 = 1

Lastly, Addition

8 + 1

= 9

The answer is 9

Given data:

The given function of amount of mmoney after m months is f(m)=1500(1.003)^m.

Substitute 30 for m in the given expression.

f(30)=1500(1.003)^(30)

=1500(1.094)

=1641

Thus, the total amount of money after 30 monnths is 1641.

Suppose that both Brian and Kristen pay $18.42 in order to diminish their checkbook balance. Then, after the payment, their current balances would be

Therefore, after paying the same amount ($18.42), Kristen's debt has reduced to zero while Brian still owes $5.03.

We know that

• The baby weighed 8.5 kg and was 60.5 cm long.

We have to transform 8.5 kg into pounds. We know that 1 kg is equivalent to 2.2 pounds. So, we just have to multiply.

Then, we transform 60.5 cm into inches. We know that 1 inch is equivalent to 2.54 cm. So,

number of banjos with 6 or 5 strings: 4 + 8 + 8 + 3 = 23

total number of banjos: 4 + 6 + 4 + 8 + 8 + 3 = 33

The probability that a randomly selected banjo has 6 strings or 5 strings is:

ANSWER:

A: 14.4 CM x 5.4

STEP-BY-STEP EXPLANATION:

We must multiply the value of the scale factor by the original measures of the rectangle, like this:

Answer:

Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses, for example. Polynomials are used in engineering, computer and math based jobs, in management, business and even in farming. In all careers requiring knowledge of polynomials, variables and constants are used to create expressions defining quantities which are known and unknown.

Step-by-step explanation:

hope this helps you

What each part of the expression represents in the context of the problem include the following:

An algebraic expression is a mathematical equation that can be used for showing the relationship which exist between two or more variables, numerical quantities, as well as in conjunction with different mathematical operations.

In Mathematics, a coefficient simply refers to a constant numerical value (number or numeral) that written before the variable in any algebraic expression.

Given the following algebraic expression:

0.07r + (r – 20)

In the context of fixing David’s broken watch, the variable r represents the original cost of the repair while 0.07r most likely represents the amount of money charged as tax. Lastly the expression (r – 20) represents the discount on fixing David’s broken watch.

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Answer:

The value of 5/7 recurring numbers is 714285

Explanation:

The given fraction 5/7 is the equivalent of

0.7142857142857142857142857142857142857142857142857142857142857142...

Notice that the recurring numbers are:

714285

Answer: 16.75

Step-by-step explanation:

201/12