Shade in 4 of the picture. Shade in 1 of the picture. Shade in 3-4 of the picture.

The first step is finding the slope of the equation -8x + 10y = 40.

To do so, let's put this equation in the slope-intercept form: y = mx + b, where m is the slope.

So we have:

Then, since the line we want is perpendicular to this given line, their slopes have the following relation:

So, calculating the slope of the line, we have:

Finally, our equation has the point (-32, -12) as a solution, so we have:

So our equation is y = (-5/4)x - 52

Square both side of equation and simplify the equation.

Assume log x = y. So equation is,

Simplify the equation to obtain the value of y.

So the value of y is 3 or 4,

Or

It is 0.696% for Part A, and 0.634% for Part B

Male students are more represented in Part A.

Given that there are 19100 students.

For Part A, the percentage of male students is part A is:

For Part A, the percentage of male students is part B is:

The law of sines is given by:

a/sinA = b/sinB = c/sinC

Take into account that in the given problem you need to know what is the measure of angle C, to be able to use the law of sines.

Consider that the sum of the interioiro angles of a triangle is 180°. Then, you have:

m∠C + 98.4° + 24.6° = 180°

m∠C + 123° = 180°

m∠C = 180° - 123°

m∠C = 57°

Next, use the law of sines with sides a and x, angle A and C:

a/sinA = x/sinC solve for x

(a/sinA)(sinC) = x

x = (a/sinA)(sinC) replace the values of known parameters (a = 400)

x = (400/sin98.4°)(sin57°)

x = 339.106

Hence, the length of side x is x = 339.106

The volume of the prism can be determined as,

Thus, the required volume is 5/8 cubic centimeters.

Solution

We are required to use synthetic division to rewrite the expression

The synthetic division is shown below

Re-write the result in polynomial form

The answer is

we have the expression

4÷5×6+7×55

Remember that

Applying PEMDAS

P ----> Parentheses first

E -----> Exponents (Powers and Square Roots, etc.)

MD ----> Multiplication and Division (left-to-right)

AS ----> Addition and Subtraction (left-to-right)

so

step 1

Multiplication and Division (left-to-right)

5x6=30

7x55=385

substitute in the given expression

4÷30+385

step 2

Multiplication and Division (left-to-right)

4÷30=0.13

substitute

0.13+385

step 3

Addition and Subtraction (left-to-right)

0.13+385=385.13

therefore

We have the inequality

solving for a, we have

Then a has to be less than 25. Written the solution in interval form we have:

Step 1

The mode is the value that occurs most often. The mode is the only average that can have no value, one value or more than one value. When finding the mode, it helps to order the numbers first.

For this qustion , the number code that occurs most are/is;

The mode phenotype code = 3 and this represents wrinkled yellow

Determine the value of angle theta.

Determine the value of tan theta.

9.

Using the following properties:

Answer:

5 7/5

Step-by-step explanation:

As you can see there is a divisions sign so you will start there.

The square root of 5^6 will turn into 5 6/2 divided by 5 3/5.

You want to find the LCD for the denominator. That will be 10, 6 divided by 3 equals 2 so you will have 5 7/2 times 5 2/10. You then change the two to a 10 and multiply the 7 and 2 which will become 5 14/10.

Once simplified the answer is 5 7/5.

Hope this helps :)

To find the intersection of the curve

And the x-axis, we first have to notice that the x-axis is the same as the line:

Now, we have a system of two equations.

If we substitute y = 0 into the first, we have:

Now, for this equation to be true, one of the factors, "x", "(x-1)" or "(x-2)" has to be zero.

So, we will have three solutions:

And since these are on the x-axis, we already know that the y values for them are all y = 0.

Thus, the points of intersections are:

Total episodes: 36

Episodes watched per day: 3

Number of days: d

To represents the number of days, d, it will take for them to have 21 episodes left:

Subtract the episodes watched per day (3d) to the total episodes (36), and that expression must be equal to 21:

36-3d=21

Mela, this is the solution:

Dinner bill = $ 26

Tip = 20% or 0.2

Tip = 26 * 0.2

Tip = $ 5.20

Option (C)

Given:

Two segments are interesting outside the circle.

The objective is to find the correct equation.

Since the two lines drawn from a point outside the circle passes through two points in a circle, the line is call secant line.

Consider the given figure as,

If two secant line is drawn from a point outside the circle, the equation wil be,

Now, substitute the given values in the above formula,

Hence, option (C) is the correct answer.

In order to complete the function table, we just need to locate the input values in the x-axis and then find the corresponding values of y in the line.

For x = -7, we have y = 9

For x = 1, we have y = -3

For x = 5, we have y = -9

So the output values for the table are

Take x and y as the 2 numbers

Define the equation that represents each situation

The sum of 2 numbers is 30

The sum of the squares of the numbers is 468

Complete the square in the second equation (don't forget to write

We will investigate how to best represent a parabolic graph using a function description.

All parabolas are denoted as either a " U " or inverted " U ". There are two principal parameters of a parabola. The vertex i.e the maximum or minimum point attained by the parabola. The line of symmetry or focus point: The line of symmetry can either be vertical or horizontal but it always passes through the focus point.

We are given a graph of a parabola that has two zeros which can be read off from the plot.

We will locate these zeros and write them down:

All parabolas are expressed by a quadratic polynomial function. The quadratic polynomial can be expressed in factorized form as follows:

Where,

We will express our located zeros in the factorized quadratic expressed above:

Then we will try to solve the parenthesis and expand the factorized form as follows:

Group the similar terms and simplify:

Therefore the function that best describes the given plot is:

Answer:

10x

Explanation:

Given the terms: 20x⁵, 80x⁶, and 30x

In order to find the greatest common factor, express each of the terms as a product of its factors.

Observing the three products, 10x is the only common factor,

Therefore, the greatest common factor is 10x.

First, convert into an improper fraction, then operate and simplify:

Answer:

a) 5

b) 6

c) -2

d) -3

Explanation:

Given:

a) From the graph, we can see that f(-1) = 1 and g(1) = 5, so we'll have that;

b) From the graph, we can notice that f(0) = 0, g(0) = 6, so we'll have that;

c) From the graph, we can notice that g(-1) = 4 and f(4) = -2, so we'll have that;

d) From the graph, we can see that g(4) = 3 and f(3) = -3, so we'll have that;

The total asset account balance is $400 and total liabilities and stockholders’ equity balance is $400.

Given that,

Aliases Pharmaceuticals, Incorporated sold shelving units (recorded as Equipment) that were ten years old for $800 cash as part of a significant upgrade at the beginning of the year. The shelves had a $6,400 initial cost that had been straight-line depreciated over a 10-year anticipated useful life, leaving a $400 estimated residual value.

It is the relationship among the assets, liabilities and stockholders’ equity. Total liabilities, as well as stockholders' equity, equal total assets. This equation states that an increase in assets will result in an increase in either liabilities or owners' equity. The accounting equation is solved using the formula below.

Assets = Liabilities +Stockholders equity

Calculate accumulated depreciation for 10 years.

Accumulated depreciation for 10 years=[(Original cost of the equipment-Residual value) / Useful life] ×10 years

=[($6400-$400)/10 years]×10 years

=$600×10 years

=$6000

Calculate book value of equipment.

Book value equipment=Original cost of the equipment-Accumulated depreciation for 10 years

=$6400-$6000

=$400

Calculate gain on sale of equipment.

Gain on equipment sale equals selling price minus book value of equipment

=$800-$400

=$400

Therefore, the total asset account balance is $400 and total liabilities and stockholders’ equity balance is $400.

The table we can see in the picture.

To learn more about liability visit: https://brainly.com/question/18484315

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The temperature should be the following:

*Temperatures greater than 80° on hot or humid days should be the temperature limit.

C

1) Let's draw a sketch to better understand this:

2) So, based on that we can say that

A number that is a Whole number is also an integer and a Rational Number.

Whole numbers are counting number with the 0 included

Integers numbers are whole numbers and the negative numbers

Rational numbers are any number that can be written as a ratio like 2, (2/1), 3/2, 5, 6/7, etc.

So whole numbers are integer numbers and rational ones simultaneously.

For example 2, 3, etc.

To calculate the area of the doughnut, we need to calculate the area of the larger circle and substract the area of the smaller circle.

The area of a circle can be calculated using its radius:

The diameter of the larger circle is 6cm which meand that its radius is half as large, so the radius is 3 cm and the area of the larger circle is:

Area of 9π cm².

The smaller one have a diameter of 2 cm, so its radius is half as large, radius of 1 cm.

So, the area of the smaller circle is:

Area of π cm².

The total shaded area is, then, the area of the larger minus the area of the smaller.

So, the shaded area is:

10c - 6(2c - 1) = -2( c- 3)

in this case, we have a equation with an unknown value (c9

Step 1

operate to eliminate ()

it means, that for any value of x, it will work

this equation has infinite solutions

Since the polynomial must have zeroes at x=-3, x=-1, x=2, then, we can write it as a combination of the factors (x+3), (x+1), (x-2):

The constant k will help us to adjust the value of the polynomial when x=3:

Since p(3) must be equal to 6, then:

Therefore, the following polynomial function has zeroes at -3, -1 and 2, and passes through the point (3,6):

Answer:

A) Notice that:

Therefore:

B) The solutions from part A represent the x-coordinates of the x-intercepts of the graph of the function

Answer:

f(n)=n²-3

Explanation:

In the sequence:

First, we find the difference between the terms.

It is observed that the difference between successive terms is the addition of consecutive odd numbers.

This is an example of a quadratic sequence.

The general form of a quadratic sequence is:

If we solve the system of equations:

The explicit expression for this sequence is: