Question Help 7.4.PS-12 Juan is designing an exercise room in his house. How many square feet of rubber flooring will he need to cover the floor? The product is sold in whole square yards. How many square yards should he buy? Explain. 10 ft 3 ft 9 ft 13 ft TUJIU . une lola alea O Te exeICISE TOUNT IS THIS IS also the lurar ammouTCOI Tuppen Houming mat Juan must have. (Type a whole number.) The number of square yards equivalent to this totallarea is 11.4 square yards. (Round to the nearest tenth as needed.) Since rubber flooring is sold in whole sq. yards, Juan must purchase exactly square yards. (Round up to the nearest square yard.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All All parts showing Review progress Next → Question Back of 10 6

The rectangle is divided by 5

The red part represents 2/5

The blue part represents 1/5

The sum 2/5+1/5=3/5, where the result is given by the 3 rectangles colored

To find the zeros of the polynomial given, we will first have to find some simpler zeros first then factor the polynomial so we can use the quadratic equation.

Since we can assume this question is to be solved without external tools, it is likely that two of the roots are simple ones.

So, we can try to use the rational root theorem to find these simpler ones.

Since the leading coefficient is 1 and the constant term is -18, if there are rational roots, they can be written as a fraction of a factor of -18 divided by a factor of 1.

The only factor of 1 is 1, so we now that if there are rational roots, they have to have denominator equal to 1.

The factors of 18 are 1, 2, 3, 6, 9 and 18.

Also, we have to consider the possibilities of positive and negative.

It is easier to test the lower ones, so let's start by testing 1/1 and -1/1. For either to be a zero, the polynomial has to result in 0:

So, x = 1 is a zero of the polynomial.

So, x = -1 is not a zero.

Now, let's try the next factor, 2/1 and -2/1:

So, x = 2 is not a zero.

So, x = -2 is also a zero of the polynomial.

We could continue, by we only need 2 zeros, so this is enough.

Now we know x = 1 and x = -2 are zeros of the polynomial, we can use synthetic division to factor the polynomial:

1 | 1 1 7 9 -18

| 1 2 9 18

| 1 2 9 18 0

Using the last line, we have that the remainder is 0 and the quotient is:

So, we have that:

Now, we can use synthetic division again on the quotient, but now use the other zero, x = -2:

-2 | 1 2 9 18

| -2 0 -18

| 1 0 9 0

Since x = -2 is a zero, we also got a remainder of 0, and the quotient is:

So, we can rewrite the polynomial as:

Now, we can just find the zeros of the remainer factor, x² + 9, so:

This means that the complex zeros of the given polynomial are:

And the factored usinf complex factors is:

1 - The right and the left side must weight the same, and the weight of both the right and the left side would be 24, therefore each side must weight 12.

2 - Since the heart = 2, and 2*heart + square = 12 , then square = 8

3 - Now, since square = 8 and square + moon = 12, then moon=4

To summarize

heart = 2, square = 8 , moon = 4.

To find how many servings John can make we need to write as a relationship, this means that

to find the missing value we need to solve the relationship

he can make 20 servings with 30 cups of ice cream

The cardinal number of a set can be said to be the number of distinct elements in a finite set.

Here, we have the number: 2,309,585,628.

We have the following elements:

2

3

0

9

5

8

6

Some elements occured twice here, no element is to be counted twice.

Thus,

Set Q = {2, 3, 0, 9, 5, 8, 5, 6, 2, 8}

The set Q has 7 elements

The cardinal number of set Q is 7

ANSWER:

n(Q) = 7

Answer:

$8.25

Explanation:

If she gets the bill each month, we need to calculate the monthly interest rate as follows

18%/12 = 1.5%

Because 18% is the annual rate and a year has 12 months.

Then, the interest charge will be 1.5% of the amount, so

$550 x 1.5% = $550 x 1.5 / 100 = $8.25

Therefore, the interest will be $8.25

2/6 = 1/3 = 0.3333

0.333 is less than 1 so it should be on the left side of the graph.

4/3 = 1.333

1.333 is greater than 1 so it should be on the right side of the graph .

So the bigger dot on the left hand side which is before 1 should be 2/6 while the smaller dot on the right hand side which is after 1 should be 4/3 .

For the inequality 1 ≤ x ≤ 4 given by Felipe  the domain of the function is stated as {1,2,3,4} which shows the error of x belongs to which set of numbers is not specified.

As given in the question,

Given inequality is equal to :

1 ≤ x ≤ 4

Domain of the given inequality function is given by :

x belongs to all real numbers as it is not specified which set of numbers x belongs.

Consider x as set of real numbers

Given domain is {1,2,3,4}

Error is Felipe needs to specify x must belongs to integers or natural numbers then only domain is {1,2,3,4} for the given inequality else there are infinite many numbers between 1 to 4.

Therefore, for the inequality 1 ≤ x ≤ 4 given by Felipe  the domain of the function is stated as {1,2,3,4} which shows the error of x belongs to which set of numbers is not specified.

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In order to find the fraction of the amount that the discount represents, we just need to divide the discount amount by the total value:

Now, to simplify this fraction, we can divide the numerator and denominator by 40:

So the discount is 1/50 of the value paid.

From congruence triangles, it is possible to see ED is congruent to DS because they are in the same line.

Answer: DS

Answer:

16 m

Step-by-step explanation:

If the perimeter of an equilateral pentagon is 80 m and it has five sides, the length of each side must be 16 m:

[tex]x=\frac{80}{5}[/tex]

[tex]x=16[/tex]

Therefore, if each side is 16 m in length, 2½ sides must equal 40 m:

[tex]2.5x=2.5(16)[/tex]

[tex]2.5x=40[/tex]

Answer:

Li worked for 19 hours.

Explanation:

Let's call x the number of hours that Vic worked, y the number of hours that Sam worked, and z the number of hours that Li worked.

They all work for 52 hours, so:

x + y + z = 52

Sam worked 3 fewer hours than Vic and 4 fewer than Li, so:

y = x - 3 or y + 3 = x

y = z - 4 or y + 4 = z

So, we can replace x and z on the first equation and solve for y as:

(y + 3) + y + (y + 4) = 52

y + 3 + y + y + 4 = 52

3y + 7 = 52

3y + 7 - 7 = 52 - 7

3y = 45

3y/3 = 45/3

y = 15

Then, replacing y by 15, we can calculate the value of x and z as:

x = y + 3

x = 15 + 3

x = 18

z = y + 4

z = 15 + 4

z = 19

Therefore, Li worked for 19 hours.

In order to plot an ordered pair into the cartesian plane, we need to use the first coordinate in the x-axis and the second coordinate in the y-axis.

Then, we draw the point that has these coordinates in the plane.

For example, plotting the point (2, 3), we have:

Now, plotting the points (4, 3) and (3, 1) in the plane, we have:

The values of x for which g(x) = 23 are x = 2.53 and x = -0.53

From the question, we are to determine the value(s) for which g(x) = 23

From the given information,

The function is

g(x) = 9x² - 18x + 11

Now, we will substitute g(x) = 23

That is,

23 = 9x² - 18x + 11

Rearranging

9x² - 18x + 11 - 23 = 0

9x² - 18x - 12 = 0

Divide through by 3

3x² - 6x - 4 = 0

Now, solve the quadratic equation

3x² - 6x - 4 = 0

Using the general formula,

x = [-b±√(b²-4ac)]/2a

a = 3, b = -6, c = -4

x = [-(-6)±√((-6)²-4(3)(-4))]/2(3)

x = [6±√(36 + 48)]/6

x = [6±√(84)]/6

x = [6 ± 9.17]/6

x = [6 + 9.17]/6 OR x = [6 - 9.17]/6

x = 15.17/6 OR x = -3.17/6

x = 2.53 OR x = -0.53

Hence, the values of x are x = 2.53 and x = -0.53

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To find:

The solution of the given inequality -4x < 8.

Solution:

Given inequality is -4x < 8. Divide both sides by -4 to isolate x.

If we divide an inequality by a negative number, then the sign of inequality changes to its opposite. So, on dividing the inequality by -4,we get:

Thus, the answer is x > -2.

Given:

A = 37.2°

b = 10.1 in

c = 6.2 in

Let's find the area of the traingle.

To find the area, apply the formula below:

Hence, we have:

Solving further:

Therefore, the area of triangle ABC is 19 square inches

ANSWER:

A. 19 in²

The area will be, the area of the small square plus the area of the parallelogram plus the area of the rectangle.

The area of the square:

The area of the parallelogram:

The area of the rectangle:

Therefore:

Given in the question:

1) Earnings money each week = Earning is an addition to one's money, thus, we can say that this situation is a POSITIVE Slope.



2) Withdraw money each month = Widthrawing is a deduction to one's money, thus, we can say that this is a NEGATIVE Slope.



3) Depositing your paycheck = Depositing is adding money to your account, thus, we can say that this situation is a POSITIVE Slope.



4) A plane landing = A plane landing has its speed slowly decreasing until its speed gone to zero, thus, we can say NEGATIVE Slope.



5) The number of students is decreasing each year = A decreasing number of students is a deduction to the population of students, thus, we can say that this is a NEGATIVE Slope.



6) A plane taking off =​ A plane taking off has its speed accelerating, thus, we can say that this situation is a POSITIVE Slope.



First Quartile is = 6

Median = 15

Range = 30 - 0

=30

Third Quatile = 24

we can write 2 equations

where x is the wide and y the long

we can replace y=x+12 from the second equation on the first

and solve x

factor ussing

where a is 1, b is 12 and c -92

replacing

the two solutions are

the solution must be positive because it is a measure

so x=5.31feet

now we can replace the value of x on any equation to solve y(I will replace on the second equation)

so the measurements are x=5.31 and y=17.31

ANSWER

Area = 21.8

EXPLANATION

Looking at the given triangle closely, you will notice it's a Non-Right Triangle.

Now, to find the area of Non-Right Triangle, we make use of the formula below:

From the question,

-7(w - 4) + 3w - 27

Expand

-7w + 28 + 3w - 27

Simplify like terms

-7w + 3w + 28 - 27

Result

-4w + 1

Given the expression:

72.200 - 2.803

Let's perform the subtraction.

To perform the subtraction, we have:

Solving further:

Therefore, the answer is:

69.397

To round the answer to the nearest whole number, check if the number after the decimal is less than 5.

If the number is less then 5, then we are to write the answer without the decimal.

If the number is greater or equal to 5, we are to add 1 to the whole number and write without the decimal.

Here, the number after the decimal is 3 which is less than 5.

Therefore, the answer rounded to the nearest whole number is 69.

ANSWER:

69

The equation of the polynomial equation in standard form is P(x) = x³ - 25x²+ 209x - 585

The given parameters are

Degree = 3

Zero = 9, 8 - i

There are complex numbers in the above zeros

This means that, the other zeros are

Zeros = 8 + i

The equation of the polynomial is then calculated as

P(x) = (x - zero)^multiplicity

So, we have

P(x) = (x - 9) * (x - (8 - i)) * (x - (8 + i))

This gives

P(x) = (x - 9) * (x - 8 + i) * (x - 8 - i)

Evaluate the products

P(x) = (x - 9) * (x² - 8x - ix  -8x + 64 + 8i + ix - 8i + 1)

Evaluate the like terms

P(x) = (x - 9) * (x² - 16x + 65)

Express in standard form

P(x) = x³ - 16x² + 65x - 9x² + 144x - 585

Evaluate the like terms

P(x) = x³ - 25x²+ 209x - 585

Hence, the equation is P(x) = x³ - 25x²+ 209x - 585

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The probability that the test-taker doesn't use drugs is the ratio of the number of people who take drugs to the total number of people. Hence the probability that the test-taker doesn't take drug is

= 194/450

= 0.4311

2.

We have to fill the blank to have an equivalent fraction:

Answer: 6

Notice that:

Therefore, the rule to compute the nth term of the sequence is:

Substituting n=13 in the above equation we get:

Answer: 1062882.

rhombus STUV is located at S(-5, 4), T (-1, 5), U(-2, 1), and V(-6, 0). If STUV is translated along the rule (x, y) (x + 7 , y - 8). in which quadrant will the new rhombus be located​

we have that

the rule of the translation is

7 units at right and 8 units down

Verify each ordered pair

S(-5,4) -------> S'(-5+7,4-8) ------> S'(2,-4) (IV quadrant)

T(-1,5) ------> T'(-1+7,5-8) -----> T'(6,-3) (IV quadrant)

U(-2,1) -----> U'(5,-7) (IV quadrant)

V(-6,0) ----> V'(1,-8) (IV quadrant)

therefore

The given figure is 3.8

3 is a whole number

The position of 8 is called the tenths position

Thus, in words, the decimal is

three and eight tenths

To determine whether they are dependent or independent events:

1. According to the problem, Event 1 is a selection of a tile J out of 26 and the Event 2 is a selection of v in the remaining 25 tiles.

Event 1 affects event 2.

So, these are dependent events.

2. Similar to the first question, event 1 affects event 2. Because event 2 is depending on the first event.

So, these are dependent events.

3. According to the problem, event 1 does not affect event 2.

So, these are independent events.

4. According to the problem, she selects one trading card and then she returns the card back. After this, she selects the other card. So, event 1 does not affect event 2.

So, these are independent events.

5. Similarly to the fourth question, event 1 does not affect event 2 because of the dropped back of balls.

So, these are independent events.