12. Given that a || b, what is the value of x? (The fiş290ToI41°5

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division but is never division by a variable.

Therefore claim 4 is false.

When 2x is added, the resultant will be a polynomial.

when 2x is subtracted, the resultant will be a polynomial.

When multiplied by 2x also, the resutant will be a polynomial.

The given expression is

To distribute, we would multiply the terms in each bracket individually and add or subtract where necessary. It becomes

Solution:

The expression f(0) represents the y-intercept on the graph of f(x). The y-intercept of a graph is the point where the graph crosses the y-axis.

Thus, from the graph;

Here, we need to remember the signs rules

Then

incorrect.

correct

correct

correct

incorrect

Assuming that these variables behave proportionally, we can solve this problem through proportional relationships:

She can drive 700 miles in 14 hours

Given:

The equation of the line is

Required:

Find the equation of the line that is parallel to the given line and contains the point (3,-2).

Explanation:

The given equation of the line is

Compare the equation with the equation

The slope of the line m = 1.

Since the slope of the parallel lines is equal.

The equation of the line that is parallel to the given line is:

This line contains the point (3,-2).

Thus the equation of the parallel line is:

Final Answer:

Given:

Find-: Local minimum and local maximum and inflection point.

Sol:

Derivative of function.

The critical point is:

Local minima is:

Local minima at x=5/6

Local maxima at x=0

Inflection point.

SOLUTION

Given the question in the question tab, the following are the solution steps to calculate the amount to be deposited

STEP 1: Write the formula for Future value annuity

Where:

FV = present value of an ordinary annuity

P=value of each payment

r=interest rate per period

n=number of periods

STEP 2: Write the given parameters

STEP 3: Calculate the P

Hence, the amount that must be deposited now is approximately 1884.76 to the nearest cents

The volume of the tank can be calculated using the Volume of a cylinder formula, which is:

Where:

v = volume;

r = radius;

h = height.

In this exercise:

r = Diameter/2 = 12/2 = 6 ft

h = 16 ft

So, substituting the values:

Using π = 3.14:

Answer:

The volume of the tank is 1809 ft³.

Given

R varies inversely as the square of h

Find

Equation for the given statement

Explanation

Final Answer

The equation for given statement is

Solution:

Given the total, T is $211;

One hour of labor is $25. So, x hours is $25x

Then, the cost of parts is $16.

Thus;

First, let's draw the picture and write some information that we already know about it

Remember that a line that passes throw two parallel lines will make the same angles, so if we already know that the angle <3=135º (which is alpha in the draw) we can find the supplementary angle which is <4 (the angle that we want to know), lets do it:

Finally, the angle <4=45º

Answer:

C

Explanation:

Given the below equation;

We're also given;

Let's substitute the given values into the equation, we'll have;

Let's subtract 1/25 from both sides of the equation;

Let's cross multiply;

Answer:

11.2cm

Explanation:

To be able to determine the missing length, we have to apply the Pythagorean Theorem which states that, in a right-angled triangle, the square of the hypotenuse(the longest side) is equal to the sum of squares of the other two sides.

Let's go ahead and find b as follows;

Answer:

The dec

Explanation:

Given that Lisa opened an investment account with $8400, at the end of the year, the amount in the account had decreased by 24.5%. We want to know how much the decrease is, and how much was in her account at the end of last year.

All we are required to find is what value is 24.5% of $8400

24.5% is the same as:

24.5% of $8400 is now:

Therefore 24.5% of $8400 is $2058

This amount is the decrease.

Finally, at the end of last year, the amount in her account is:

$8400 - $2058 = $6342

Answer: If you do 8400 - 24.5% you get 6342. Then if you do 8400 - 6342 you get 2058. So her account decreased by $2,058 and she had $6342 left in her account at the end of the year.

Given the data set (ages of grandparents):

52, 54, 57, 61, 56, 61, 67, 64, 63, 57, 60, 50

Let's create a five-number summary that represents the given data set and also create a box plot.

A) A five number summary of a data set consists of the following:

• Minimum value

• First quartile

• Median

• Third quartile

• Maximum value

Let's determine the five-number summary of the given data set.

• Minimum value:

The minimum value is the smallest number from the given data set.

Thus, the minimum is = 50

• First quartile:

The first quartile is also called the lower quartile. It is the median of the lower half of the data set.

To find the first quartile, list out the lower half of the data set after arranging the data in acsending order.

Arrange in ascending order: 50, 52, 54, 56, 57, 57, 60, 61, 61, 63, 64, 67

Lower half: 50, 52, 54, 56, 57, 57

Median of lower half:

Therefore, the first quartile is = 55

• Median:

Median is the middle term of the data set.

50, 52, 54, 56, 57, 57, 60, 61, 61, 63, 64, 67

The middle terms are = 57 and 60

To find the median, divide the sum of the middle terms by 2.

Thus, we have:

Therefore, the median of the data set is 58.5

• Third Quartile:

The third quartile is also called the upper quartile. It is the median of the upper half of the data set.

Upper half of data set = 60, 61, 61, 63, 64, 67

Median of upper half =

Therefore, the third quartile is 62

• Maximum value:

The maximum value is the greatest number in the given data set.

The greatest number in the data set is 67.

Therefore, the maximum value is 67.

We have the five-number summary that represents the data set below:

• Minimum = 50

• First quartile = 55

• Median = 58.5

• Third quartile = 62

• Maximum = 67

b) Let's create a box plot that represents the data set.

We have the box plot below:

the greatest commmon factor of 56 and 32 is 8

so in order to use the distributive property

8(7+4)=56+32=88

23.8%

Explanation:

Since 0.238 represent the frequency of male who eats chicken

0.238 / 100 = 23.8%

Answer: 52.4%

Step-by-step explanation: I took the test and that was the correct answer.

Explanation

We are asked to find the total area of the figure

To do so, we will split the area into 2 as shown below

For figure A

We have a trapezoid

The area of a trapezoid is

For figure B

The figure is a parallelogram

The area of a parllelogram is given by

Therefore, the total area is the sum of the areas of the two figures which will be

Thus, the area is 195 yd²

Answer

Angle JLK = 31°

Explanation

To answer this, we will use the tangent-chord theorem.

So, the intercepted arc JNL has an angle 298°

Then, we can solve for the tangent chord angle next to it, Angle JLM first by saying

Angle JLM = (Intercepted arc JNL)/2

Angle JLM = (298°/2)

Angle JLM = 149°

Then, we can see that Angle JLM and Angle JLK lie on the same straight line, KLM.

Sum of angles on a straight line is 180°.

Angle JLK + Angle JLM = 180°

Angle JLK + 149° = 180°

Angle JLK = 180° - 149°

Angle JLK = 31°

Hope this Helps!!!

In order to calculate the volume of a cylinder, we can use the following formula:

Where r is the base radius and h is the height.

If the circumference is 8, we have:

Now, calculating the volume, we have:

So the correct option is the second one.

Answer:

Step by step explanation:

In order to find the axis of symmetry, we will have to find the x-value of the vertex

a = 1

b = 4

c = 6

We have found the x-value of the vertex which is -2

Line/axis of symmetry is x=-2

Answer:

0.0625 or [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

If the water level decreases at a constant rate, then that just means that the relationship between the water level and time is linear or is a straight line if graphed.

let's just say that: [tex]C = \text{ contant rate the water level dropped at each hour}[/tex]

this means if we added C by how many hours passed, we should get the amount the water level dropped: [tex]C+C+C+C\text{...how many hours passed} =\frac{7}{12}[/tex]

let's also just say that: [tex]H = \text{ amount of hours that passed}[/tex]

from here we can rewrite the equation using multiplication: [tex]CH = \frac{7}{12}[/tex]

we can now divide both sides to isolate C: [tex]C = \frac{\frac{7}{12}}{H}[/tex], so now all we have to do is find how many hours passed.

From 10 P.M to 12 A.M, 2 hours pass. From 12 A.M to 7 A.M, 7 hours pass and from 7 A.M to 7:20 A.M, 20 minutes pass

So we have: [tex]2 \text{ hours} + 7 \text{ hours} + 20 \text{ minutes} = 9\text{ hours} + 20\text{ minutes}[/tex]

We want to represent this as one value and also in hours, so we'll need to convert the minutes to hours. To see how many 20 minutes is to one hour, we simply divide this 20 minutes by how many minutes are in an hour, which is 60 minutes: [tex]\frac{20}{60} = \frac{1}{3}[/tex]

It's actually super useful to keep this in fraction form, and even convert the 9 hours to fraction form: [tex]9 + \frac{1}{3} = \frac{27}{3} + \frac{1}{3} = \frac{28}{3}[/tex]

Now from here, we know that: [tex]H = \frac{28}{3}[/tex]

so let's plug this into the expression we made! [tex]C = \frac{\frac{7}{12}}{\frac{28}{3}}\implies \frac{7}{12} * \frac{3}{28}[/tex]

before multiplying, we can rewrite 12 as (4 * 3) so we can cancel out the 3 in the numerator and denominator making the simplification process a bit easier. We can also rewrite 28 as (4 * 7) to cancel out the 7 in the numerator and denominator: [tex]C = \frac{7 * 3}{(4 * 3) * (7 * 4)} = \frac{1}{16} = 0.0625[/tex]

This means if we multiplied the 1/16 or 0.0625 by the 9.33333 hours that passed we would get the total amount that decreased: 7/12

onIn order to solve this, we have to add the number of floors the elevator goes up and subtract the number of floors the elevator goes down, like this:

Initially, it goes down 9 floors since it was at the 10th floor we get:

10 - 9 = 1

Then, after it goes down 9 floors it gets to the first floor, then it goes up 19 floors , now we get:

1 + 19 = 20

After it goes up to the 19th floor from the fits one, it gets to the 20th floor, then it goes down 3 floors, now we get:

20 - 3 = 17

After it goes down 3 floors it gets to the 17th floor, then it goes 12 floors down from the 17th floor:

17 - 12 = 15

At the end, the elevator ends up in the 15th floor

Let:

x = Original goal

y = Final goal = $322507

a = Percentage raised = 1.130% = 0.0113

so:

Answer:

The original goal was approximately $318903.39

First, we need to express the amount of dollars d as cents, we can do this as we know that one dollar equals 100 cents, then d in cents would be:

And from the statement of the question, we know that s stickers cost c cents, we can express that cost per sticker like this:

And if we want to find the amount of stickers that we can buy, we just have to multiply d in cents by the cost per sticker, like this:

Answer:

x = 16

Step-by-step explanation:

sqrt x   + 3  = 2 sqrt x - 1         subtract sqrt x from both sides

3    =   sqrt x   -1                    add 1 to both sides

4 = sqrt x               square both sides

16 = x