What is the value of x (distance from the edge of the screen to the end of the wall) if the area of the screen is 40 m^2?

Answer:

The expression |–93| represents the absolute value of –93, which is 93.

Step-by-step explanation:

Absolute value is a mathematical operation that returns the distance of a number from zero on the number line, regardless of whether the number is positive or negative. In this case, the number –93 is 93 units away from zero, so the absolute value of –93 is 93.

Therefore, |–93| = 93.

Merhaba ;))

Answer:

4.952

#Başarılar

Answer:

Step-by-step explanation:

\(\begin{matrix}\space\space&2&3&8&9&\textbf{1}\\ -&1&8&9&3&\textbf{9}\end{matrix}\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:\\Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\mathrm{Borrow\:}1\mathrm{\:from\:}9\mathrm{.\:\:The\:remainder\:is\:}8\\\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&10\\ \space\space&2&3&8&\textbf{\linethrough{9}}&1\\ -&1&8&9&\textbf{3}&9\end{matrix}\)

\(\begin{matrix}\space\space&\space\space&\space\space&\space\space&8&\textbf{11}\\ \space\space&2&3&8&\linethrough{9}&\textbf{\linethrough{1}}\\ -&1&8&9&3&\textbf{9}\end{matrix}\)

\(\frac{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&11\\ \space\space&2&3&8&\textbf{\linethrough{9}}&\linethrough{1}\\ -&1&8&9&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{5}&2\end{matrix}}\)

\(\frac{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&8&11\\ \space\space&2&\textbf{3}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}\)

\(\frac{\begin{matrix}\space\space&\textbf{1}&10&\space\space&8&11\\ \space\space&\textbf{\linethrough{2}}&3&8&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{\space\space}&\space\space&\space\space&5&2\end{matrix}}\)

\(\frac{\begin{matrix}\space\space&1&\textbf{13}&\space\space&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{3}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}\)

\(\frac{\begin{matrix}\space\space&1&\textbf{12}&10&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}\)

\(\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{\space\space}&5&2\end{matrix}}\)

\(\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{9}&5&2\end{matrix}}\)

\(\frac{\begin{matrix}\space\space&1&\textbf{12}&18&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{4}&9&5&2\end{matrix}}\)

\(\frac{\begin{matrix}\space\space&\textbf{1}&12&18&8&11\\ \space\space&\textbf{\linethrough{2}}&\linethrough{13}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{0}&4&9&5&2\end{matrix}}\\\\=4952\)

The earnings in the simple interest and compound interest for a 5 year period is in the table below where S is for Suzanne and D is for Derrick

            S - annual interest  S - Balance   D - annual interest   D - Balance

Year 1                 147                   3147                      147                    3147

Year 2                294                  3294                     301.2                 3301.2

Year 3                441                   3441                      462.96              3462.96

Year 4                588                  3588                     632.65              3632.65

Year 5                735                   3735                     810.65               3810.65

Simple interest is calculated by the formula

principal x time x rate / 100

In the problem

Principal = $3000

rate = 4.9%

time is varying from 1 to 5

For the first year we have

= 3000 * 1 * 4.9 / 100

= 147

Compound interest the formula is

Principal(1 + rate)^(year) - 1)

For the first year, (the rate is already divided by 100 to get 0.049) we have

= 3000(1 + 0.049)^(1) - 1)

= 147

Learn more about simple interest at:

https://brainly.com/question/2294792

#SPJ1

Answer:

noisy I think because of how they're describing them

The angle of the tangent line at point C is not the same as the angle of the radius of ⊙N. Therefore, none of the statements are true for ⊙N at point C.

What is angle?

Angle is a geometric concept used to describe the relationship between two lines or planes that intersect. The angle is measured in degrees, and it is the amount of turn between the two lines or planes. Angles can be acute (less than 90 degrees), right (90 degrees), obtuse (more than 90 degrees), or straight (180 degrees). Angles are used in mathematics, engineering, architecture, and design.

The radius of ⊙N is the same at point C as it is elsewhere: False
The slope of the tangent line at point C is the same as the slope of the radius of ⊙N: True
The angle of the tangent line at point C is the same as the angle of the radius of ⊙N: False

A tangent line is a line that intersects a circle at a single point and is perpendicular to the radius of the circle at that point. This means that at point C, the tangent line is touching the circle at just one point and is perpendicular to the radius of the circle at that point. However, the radius of ⊙N is not the same at point C as it is elsewhere, so the radius and the slope of the tangent line at point C are not the same. Furthermore, the angle of the tangent line at point C is not the same as the angle of the radius of ⊙N. Therefore, none of the statements are true for ⊙N at point C.

To know more about angle click-
brainly.com/question/460763
#SPJ1

Complete questions as follows-

Given DC
is tangent to ON at point o, is each statement true for ON ? Drag "true" or "false" below each statement

The new mean if he earns $22 from a fourth house is: 79

In one of the branches of mathematics called statistics, We use one term known as mean; it generally tells us what is the central tendency of the data set.

Generally, we use three terms for measurement of central tendency like, mean, median, mode.

In simple words, mean is an average of all the dataset.

formula;

Mean = Sum of all the dataset/Total number of dataset

Given that,

Trevor mows the lawn in his neighborhood.

The mean of his earnings for three houses is $98.

He earns $22 from a fourth house.

New mean = ?

Suppose, total earning from the first three house is x

Now,

Previous mean = X/3

                         = 98

X/3 = 98

X  = 98 x 3

   = 294

Now, he started earning from the fourth house as well,

New mean = (X + 22)/4

                  = (294 + 22)/4

                  = 79

Hence, the new mean is 79

To know more about mean check:

https://brainly.com/question/29895356

#SPJ6

Answer:

I think it is 117 because 27 plus 66=93 so v+t is 90 plus 27 so 117

Step-by-step explanation:

Answer:

By the Substitution property, the measure of angle ABC is equal to GHI.

Step-by-step explanation:

According to the Question,

Since we have,

On substituting the value of from equation (1) to equation (2)

We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI

Thus, By the Substitution property  

The measure of angle ABC is equal to angle GHI.

Answer:

3

Step-by-step explanation:

Answer:

5) 2     7) 4

Step-by-step explanation:

3/5 x 25 = 15

15 - 1 = 14 / 7 = 2 = x

25     20

---  =  ----

40    7x+4

25 x 4/5 = 20

40 x 4/5 = 32

32 - 4 = 28 / 7 = 4 = x

Answer:

Step-by-step explanation:

To increase the difference between 456.674 and 234.458 by 345.856, we follow the following steps :

Step 1: Subtract 456.674 from 234.458 and,

Step 2:  Add 345.856 to the result.

so,  456.674 - 234.458 = 222.216

222.216 + 345.856 = 568.072

Therefore, the increased difference between 456.674 and 234.458 by 345.856 is 568.072

y = (-1/2)x + 4 is the equation for the linear function with an x-intercept of 8 and a y-intercept of 4.

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given, An x-intercept for a linear function is 8, and a y-intercept is 4.

The two points on the line are therefore (8, 0) and (0, 4).

Slope(m) is now equal to (4 - 0)/(0 - 8).

m slope = 4/8.

slope(m) equals -1/2.

With a y-intercept of 4, it represents the value of b in the equation y = mx + b.

Consequently, the equation is y = (-1/2)x + 4 is linear.

To learn more about slope-intercept form refer,

brainly.com/question/3605446

#SPJ4

Answer:

y = 2x² + 3x - 9

Step-by-step explanation:

Given αβ = - \(\frac{9}{2}\) = \(\frac{c}{a}\)

and α + β = - \(\frac{3}{2}\) = - \(\frac{b}{a}\)

Then a = 2, b = 3 and c = - 9, thus

y = 2x² + 3x - 9

Answer:

C. The number of words, w, is the dependent variable

The equation for the graph will be y = 10x.

Let x be the number of T-shirts sold and y be the profit in dollars. Then, we can write the equation as:

y = (50/5)x

Simplifying the equation, we get:

y = 10x

To graph this linear equation, we can plot several points on the coordinate plane. For example, we need to plot points where x=0, y=0, x=1, y=10, x=2, y=20, and so on. We can then connect the points with a straight line to graph the equation. Check the attached document for clue.

The above answer is based on the question;

The profit for selling T-shirt at the school store is $50 for every 5 shirt. Write an equation and graph the relationship.

Find more exercises on linear equations;

https://brainly.com/question/29739212

#SPJ1

Answer:simple interest rate is 2,000.00

Step-by-step explanation:

we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.

What is a conditional statement?

A conditional statement is a type of structure to express the relationship between two dependent variables. Its structure is as follows:

The code segment in question uses variables and conditional statements to determine the maximum value among three integer variables x, y, and z. However, there are cases where this code segment may not work as intended.

To determine which initial values for x, y, and z will cause this issue, we need to look at the code segment itself.

The code segment likely involves setting a variable called "max" to the value of one of the three variables (x, y, or z), and then using conditional statements to check if the other variables are larger than the current value of "max".

If they are, the value of "max" is updated to that variable.

To determine which initial values will cause issues, we need to consider cases where the conditional statements will not work as intended.

For example, if all three variables have the same value, the code segment may not correctly identify the maximum value.

Similarly, if two variables have the same value, but that value is smaller than the third variable, the code segment may not correctly identify the maximum value.

Based on the answer choices provided, it appears that the code segment may not work as intended for the initial values x = 1, y = 3, z = 2.

In this case, the initial value of "max" would be set to 1, and the conditional statements would not update the value of "max" to the correct maximum value of 3.

In conclusion, the code segment may not work as intended in cases where there are ties or when the initial values are not in order. It is important to test the code segment with different initial values to ensure that it works correctly in all cases.

The code segment in question is intended to set the variable "max" equal to the maximum value among the integer variables x, y, and z.

To demonstrate that the code segment does not work as intended in all cases, we need to evaluate each of the given initial values for x, y, and z.

1. x = 1, y = 2, z = 3: In this case, the maximum value is 3, which corresponds to the variable z.

2. x = 1, y = 3, z = 2: In this case, the maximum value is 3, which corresponds to the variable y.

3. x = 2, y = 3, z = 1: In this case, the maximum value is 3, which corresponds to the variable y.

4. x = 3, y = 2, z = 1: In this case, the maximum value is 3, which corresponds to the variable x.

Since we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.

However, you can test each case by implementing the code segment, assigning the initial values to the variables x, y, and z, and then checking if the variable "max" is set to the correct maximum value.

If any of the cases result in an incorrect "max" value, it means that the code segment does not work as intended for that particular set of initial values.

Hence, we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.

To learn more about the conditional statement visit: brainly.com/question/18152035

#SPJ4

Answer:

68 is the perimeter.

Step-by-step explanation:

You can find the perimeter by adding up all of the sides. 13 + 11 + 3 + 7 = 34. To find the other sides of the shape you do 11 + 7 and 13 + 3. 11 + 7 = 18. 13 + 3 = 16. 18 + 16 = 34. 34 + 34 = 68.

Answer:

the answer is 22/9 .

Step-by-step explanation:

convert the mixed fractions into improper fractions and then divide the ratios

There are exactly φ(n) primitive nth roots of unity, where φ is the Euler totient function.

To show that this is a primitive nth root of unity, we need to show that it is not a power of any other nth root of unity. Let k be a positive integer such that

=> \((e^{2\pi ik/n})^n = 1.\)

Then, \(e^{2\pi ik} = 1\), so k must be an integer multiple of n. But if k = mn for some integer m, then

=> \((e^{2\pi ik/n}) = (e^{2\pi im})^{n/m} = 1^{n/m} = 1,\)

which contradicts our assumption that \(e^{2 \pi ik/n}\) is an nth root of unity. Therefore, e^(2πi/n) is a primitive nth root of unity.

For n = 1, there is only one root of unity, namely 1 itself. It is also a primitive root of unity, since it cannot be written as a power of any other root of unity.

For n = 2, there are two roots of unity, namely 1 and -1. Both of these are primitive roots of unity, since neither can be written as a power of the other.

For n = 3, there are three roots of unity, namely 1, \(e^{2 \pi i/3}\), and \(e^{-2 \pi i/3}\). The latter two are primitive roots of unity, since neither can be written as a power of the other or of 1.

For n = 4, there are four roots of unity, namely 1, i, -1, and -i. The primitive roots of unity are \(e^{ \pi i/2}\) and \(e^{ -\pi i/2}\), which cannot be written as powers of each other or of 1, i, or -1.

To know more about primitive root here.

https://brainly.com/question/30460565

#SPJ4

Answer:

6n-5

Step-by-step explanation:

Some different types of sequences

To find sequence patterns, often the sequences are arithmetic (adding by a constant amount) or geometric (multiplying by a constant amount).  

To test if something is a geometric sequence, find the quotient of (divide) adjacent terms.

To test if something is an arithmetic sequence, find the difference of (subtract) adjacent terms.

Finding the type of our sequence

Note the following:

19-13=6

13-7=6

7-1=6

So, to get each next term, add 6.  However, what is the nth term?

Finding an expression for our sequence

You'll be adding up "n" sixes to get there (expressed with multiplication, because multiplication is shorthand for repeated addition), but we need a starting point so that when n=1, the expression equals 1, and when n=2, the expression equals 7... and so on.  This starting point shifts the "6n" piece of our expression so that it lines up on the sequence.  I'm going to call this starting point "b" for the base that is supporting this sequence.

So the expression will look something like \(6n+b\)

Knowing that the expression needs to equal 1 when n=1, we can set up an equation and solve for "b".

\(6n+b=n^{\text{th}} \text{ term}\\6(1)+b=(1)\\6+b=1\\(6+b)-6=(1)-6\\b=-5\)

So, the expression for the nth term of the sequence is \(6n-5\)

Verifying

To verify that the expression we found is right, we can test our expression for each of the terms we do know:

The first term (n=1) is 1

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(1)-5 \overset{?}{=} (1)\)

\(6-5 \overset{?}{=} 1\)

\(1 \overset{\checkmark}{=} 1\)

The second term (n=2) is 7

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(2)-5 \overset{?}{=} (7)\)

\(12-5 \overset{?}{=} 7\)

\(7 \overset{\checkmark}{=} 7\)

The third term (n=3) is 13

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(3)-5 \overset{?}{=} (13)\)

\(18-5 \overset{?}{=} 13\)

\(13 \overset{\checkmark}{=} 13\)

The fourth term (n=4) is 19

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(4)-5 \overset{?}{=} (19)\)

\(24-5 \overset{?}{=} 19\)

\(19 \overset{\checkmark}{=} 19\)

Answer:

You would have to add 4 blue marbles

Step-by-step explanation:

there are a total of 12 marbles, 4 of them being blue.

If you add 4 blue ones, there would be a total of 16 marbles and 8 of them would be blue.

8/16 = 1/2

Therefore, 4 blue marbles need to be added for the chance to draw one to be 1/2 or 50%

Answer:

Step-by-step explanation:

Since there is 1 green, 2 yellow, 4 blue, and 5 red we start with 12 marbles. For the probability of picking a blue to be 1/2 we must satisfy.

(b+x)/(12+x)=1/2. (Where x is the number of blue marbles added)

2(b+x)=12+x

2b+2x=12+x

2b+x=12

x=12-2b, since we started with 4 blue marbles

x=12-2(4)

x=12-8

x=4

So we would need to add 4 blue marbles to make the probability of picking a blue 1/2.

The number of terms in geometric series with common ratio 0.5 is 5.

A geometric series is a set of integers where each term following the first is created by multiplying the term before it by a predetermined value called the common ratio. To put it another way, each term in the series is created by multiplying the term before it by a set integer.

The sum of a finite geometric sequence is given by the formula:

\(S = a(1 - r^n)/(1 - r)\)

Where, S is the sum of the series,

a is the first term,

r is the common ratio, and n is the number of terms.\(55.5625 = 28(1 - 0.5^n)/(1 - 0.5)\\\\55.5625(1 - 0.5) = 28(1 - 0.5^n)\\27.5625 = 28 - 28(0.5)^n\\0.4375 = (0.5)^n\\n = log(0.4375)/log(0.5)\\n = 4.17\)

Rounding the numbers, we have n = 5.

Hence, the number of terms in geometric series is 5.

Learn more about geometric sequence here:

https://brainly.com/question/11266123

#SPJ1

Answer:

D

Step-by-step explanation:

Given

y = x² + 1

y = x

Equating gives

x² + 1 = x ( subtract x from both sides )

x² - x + 1 = 0

Consider the discriminant Δ = b² - 4ac

with a = 1, b = - 1 and c = 1

b² - 4ac = (- 1)² - (4 × 1 × 1) = 1 - 4 = - 3

Since b² - 4ac < 0 then there are no real solutions

Answer:

300 degrees

Step-by-step explanation:

5 pi/3

To change radians to degrees, multiply by 180/pi

5 pi/3 * 180/pi

5/3 * 180

5 * 60

300 degrees

Answer:

69 3/10 square meters

Explanation:

Given the expression:

First, change each mixed fraction to an improper fraction:

To change a mixed fraction, multiply the denominator by the whole number, add the numerator:

Thus, the expression becomes:

Next, multiply the numerators and denominators:

Answer:

36:12 or 3:1

Step-by-step explanation:

12:4= 36: 12

or 12:4 simplify= 3:1

hope it helps

Step-by-step explanation:

4.the first one is a function but the second is not

5.you can choose 2 or any number greater than 0

So the first one the answer will be y=(2) ²

And it equals 4

But the second will be y²=2

And it will equal +and - 2 in the same time so it is not a function

Answer:the answer will be 6

Step-by-step explanation:

answer:

f (2) = 6

step-by-step explanation:

f (2) = 3(2)^0 - 2(2)^-1 + 4

f (2) = 3(2)^0 - 2(2)^-1 + 4

f (2) = 3 - 1 + 4

f (2) = 3 - 1 + 4

f (2) = 2 + 4

f (2) = 6