Fill in the blanks. (Enter the domain in interval notation.) Function Alternative Notation Domain Range 2. -12 points LarPCakcCC3 4.7002 Fill in the blanks. (Enter the range in interval notation.) Function Alternative Notation Domain Range y cos-1x -1 s x s 1 3. -3 points LarPCakcc3 4.7.003 Fill in the blanks. (Enter the domain and the range in interval notation.) Function Alternative Notation Domain Range y-arctan x y-

Answer: $385,993.09

Step-by-step explanation:

Initial Amount: 6500

Rate: 0.0911 comp. monthly

Time: 45 years

Answer: 385,993.09

The relation between base length and height is: f(x) = 48/x

What is parallelogram?

A parallelogram is a straightforward quadrilateral in Euclidean geometry that has two pairs of parallel sides. A parallelogram has opposite sides that are facing one another and opposite angles that are of equal size.

By the values given in the table, for base length and height of the parallelograms, you can notice that base length increases 1 units, so you have 1, 2, 3, 4, 5.

For height you can notice that while base length increase 1 unit, height decreases by a factor of 1/x, just as follow:

1 - 48

2 - 24

3 - 16

4 - 12

5 - 8

The relation between base length and height is:

f(x) = 48/x

where f(x) is the height and x is the base length. In fact, you have:

f(1) = 48/1 = 48

f(2) = 48/2 = 24

f(3) = 48/3 = 16

f(4) = 48/4 = 12

Hence, the relation between base length and height is: f(x) = 48/x.

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The measure of missing angle is 145°.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.

Given

Missing angle = x°

Opposite angle = 100°

Exterior angle = 35°

x and exterior angle are linear pair

Sum of linear pair is 180

x + 35 = 180

x = 180 - 35

x = 145

The measure of missing angle is 145°.

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Answer:

a. 0.00,323

b. 745,000

Step-by-step explanation:

a) move the decimal 3 places to the left

b) move the decimal 5 places to the right.

Answer:

-6

Step-by-step explanation:

12-8x= -5x-5x

Combine like terms

12-8x= -10x

Add 8x to both sides

12-8x= -10x

  +8x.  +8x

12= -2x

Divide both sides by -2

12= -2x

/-2.   ;-2

-6=x

Hopes this helps please mark brainliest

The value of p(12) is $996

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

"Find p(24)" also means "Find the amount of money Owen pays for lawn service after 12 months" as we're given 12 for t. As such, rewrite the given function as p(12) = 108 + 74(12)

p(12) = 108 + 74(12)

p(12) = 108 + 888

p(12) = $996

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The Medals are as follows:

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

A + B + C = 119

Country B won 9 more than Country C so:

B = C + 9

Also, Country A won 39 more than the other two combined so:

A = B + C + 39

  = (C + 9) + C + 39

  = 2C + 48

Now we substitute into the equation:

A + B + C = 129

(2C + 48) + (C + 9) + C = 129

4C + 57 = 129

4C = 72

C = 18

So, if B = C + 9  then B = 27

and, A = 2C + 48 = 36+ 48 = 84

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An integer is a whole number  x=-11.

The symbol "Z" stands for an integer.

Z= {……-8,-7,-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8,……}

Let the numbers be x, x + 2, x + 4, x + 6...

5(x+x+4)=8(x+2+x+6)+22

5(2x+4)=8(2x+8)+22

10x+20=16x+64+22

The integers are -11,-9,-7,-5,

10x-16x=64+22-20 -6x=66/-6

x=-11.

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Answer: B

Step-by-step explanation: B. So that people would keep buying new things

Goods are often planned to become obsolete in order to encourage people to continue buying new things. This can be done by intentionally designing products with a limited lifespan or by using materials that are prone to wear and tear. Companies may also release new versions of products or discontinue support for older models in order to encourage consumers to upgrade to the latest version. By making their products become obsolete, companies can create a sense of urgency for consumers to keep buying new things and maintain their sales.

The triangles are similar triangles. Then the value of the variable 'x' will be 6.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

Similar triangles are shown below.

We know that the ratio of the corresponding sides of similar triangles remains constant. Then the equation is given as,

(6x - 1) / 15 = 14 / 6

Simplify the equation, then we have

(6x - 1) / 15 = 14 / 6

(6x - 1) / 5 = 7

6x - 1 = 35

6x = 36

x = 6

The triangles are comparable triangles. Then, at that point, the worth of the variable 'x' will be 6.

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Answer:

Option 2

Step-by-step explanation:

The greater than sign with the line under it means greater than/less than or equal to. So -2.4 is less than or equal to -2.40.

-Hope this helped

The statement that is true about line segment P'S' is (c) Segment P'S' s 4 units long and lies on a different segment.

How to determine the true statement?

The complete question is in the attached image

From the image, we have:

PS = 8 units

This means that:

P'S' = 1/2 * PS

So, we have:

P'S' = 1/2 * 8

Evaluate

P'S' = 4

Also, the segment PS and P'S' do not lie on the same segment

Hence, the true statement is (c)

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Option A satisfy the equation after simplification that is y(y-1) / 3(y+1) when the equation that is 36y / (y²- 2y+1) ÷ 12y² / (y²-1)

Given that,

We have to simplify the equation that is

36y / (y²- 2y+1) ÷ 12y² / (y²-1)

We know that,

We have to divide the equations,

36y / (y²- 2y+1) ÷ 12y² / (y²-1)

We can write in multiplication form that is

36y / (y²- 2y+1) × (y²-1) / 12y²

Now we can divide the 36y by 12 y² we get 3/y

3(y²-1)/ y(y²- 2y+1)

We can write the y²-1 as (y-1)(y+1) and by formula y²-2y+1 as (y-1)²

3(y-1) (y+1)/ y (y-1)²

Now we can divide

3(y+1)/ y(y-1)

So we can see in the options

Therefore, Option A satisfy the equation after simplification that is y(y-1) / 3(y+1) when the equation that is 36y / (y²- 2y+1) ÷ 12y² / (y²-1)

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For an average intake of 2200 calories per day, the number of acres of land is approximately 2.

If we are given all a function so in that case, we just need to substitute values given in question and solve for unknown variable that is to be determined.

C(x) is a variable that tells the number of calories consumed daily by a person

x is the number of acres that person own.

C(x) = 270㏑(x+1) +1900

In the given question number of acres ask a person to have who consumed 2200 calories in a day.

Therefore,

C(x)=2200

2200=270㏑(x+1) +1900

2200-1900=270㏑(x+1)

300=270㏑(x+1)

300/270 = ㏑(x+1)

10/9 = ㏑ (x+1)

x+1 = [tex]e^{\frac{10}{9} }[/tex]

x+1 = 3.037

x= 3.037-1

x=2.037

x=2(round off)

Therefore, 2 acres of land a person can consume 2200 calories in a day.

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As we know that, while finding any angles on a line, the full angle is 360°.

Now we have three angles in the image and their sum will be 360°, and the angles are :

Now, 68° + 90° + y = 360°

=> 158° + y = 360°

=> y = 360° - 158°

=> y = 202°

Hence, y = 202° is the answer.

Answer:

1/32  

Step-by-step explanation:

There are  2^5   outcomes from flipping 5 times = 32

  only ONE is   T  T  T  T  T         1 OUT OF 32 =  1/32

The number of times both spins will be even numbers in 200 spins is (b) 50

From the question, we have the following parameters that can be used in our computation:

Sections on the spinner = 1, 2, 3, 4, 5, and 6

Also, from the question;

We have the following statement

The theoretical probability of both spins being even numbers is 9 over 36.

This means that

P(Both even) = 9/36

Lastly, we have

Times of experiment = 200

So, we have

Outcomes of both even = P(Both even) * Times of experiment

Substitute the known values in the above equation, so, we have the following representation

Outcomes of both odd =9/36 * 200

Evaluate

Outcomes of both odd = 50

Hence, the outcomes is (b) 50

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The required number of employees does it have in total is 68877.

A percentage is a part of an entire communicated as a number somewhere in the range of 0 and 100 as opposed to as a small portion. Something is all 100%, a big part of it is 50%, none of something is zero percent. To decide a rate, you partition the piece of the entire by the actual entire and duplicate by 100.

Let total population of the company be X

So,

19.6% of x = 13500

x(19.6/100) = 13500

X = 13500×100/19.6 = 68877 employees

Thus, required number of employees is 68877.

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The sum is 9/28

What is sum ?

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million.

The end result of addition is a sum. For instance, the sum 10, written, is obtained by adding 1, 2, 3, and 4. (1) The sum of the numbers is known as the sum of the addends, or summands occasionally.

1/4 + 1/28 + 1/70 + 1/30 + ............ 1/700

Multiply and divide by 3 in whole series

⇒ 1/3 X [3/4 + 3/28 + 3/70 + 3/130 + ......... 3/700]

⇒1/3 X [1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+..........1/25-1/28]

⇒1/3 x [1 - 1/28]

⇒1/3 * 27/28

⇒ 9 / 28

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Answer:

Below

Step-by-step explanation:

5 1/2 = 11 / 2

11/2  ÷  3/4   = 11/2  x 4/3  = 44/6 = 7  1/3

Answer:

2.213

2×1+2(1÷10)+1(1÷100)+3(1÷1000)

2×1+2×0.1+0.01+3×0.001

2+0.2+0.01+0.003

2.213 #

hope this will help ig

Answer:

2.213

Step-by-step explanation:

2×1+2(1÷10)+1(1÷100)+3(1÷1000)

2×1+2×0.1+0.01+3×0.001

2+0.2+0.01+0.003

2.213

Answer:

Lyric ran faster.

Step-by-step explanation:

When you plot y = 5x, you can trace a certain point to see which value is higher.  When I plotted y = 5x and chose the point when x = 8, y = 40 for Kira, and for Lyric, at x = 8, y = 80.  Since the y coordinate (distance) is higher, Lyric ran faster.

Lyric ran faster than Kira, since they were travelling a longer distance when comparing to Kira in the same period of time.

You may use the following logic to analyze this situation. Theoretically, the faster runner will have traveled a longer distance at any given point in time different than 0 when comparing to the other runner. Therefore, let's randomly pick a point in time to see who had traveled the longer distance.

The time we'll evaluate will be 4 seconds.

For this, simply substitute the "x" by the number "4" in the given equation for Kira:

[tex]y=5(4)\\ \\y=20[/tex]

Conclusion: Kira had traveled a total distance of 20 yards, 4 seconds after starting the race.

To evaluate the graph, we'll have to draw a line where x=4 sits and then find the value of "y" the function returns. Check the attached images in order to see this process.

Conclusion: Lyric had traveled a total distance of 40 yards, 4 seconds after starting the race.

After 4 seconds Kira traveled 20 yards;

After 4 seconds Lyric traveled 40 yards.

Conclusion: Lyric ran faster than Kira, since they were travelling a longer distance when comparing to Kira in the same period of time.

Using system of linear equation, the store sold 240 chemistry books and 189 biology books

A system of equations is a set or collection of equations that you deal with all together at once. The general representation of linear equations are given as y = mx + c

Let set our variables as;

x + y = 429 ...eq(i)

x = 51 + y ...eq(ii)

Put eq(ii) into (i)

(51 + y) + y = 429

51 + 2y = 429

2y = 429

y = 189

x = 51 + 189

x = 240

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Answer:

(x-3)^2=17

Step-by-step explanation:

i took dis test b4

Answer:

[tex]\textsf{B)} \quad y-9=2(x-2)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

Given points:

Substitute the given points into the slope formula to find the slope of the line:

[tex]\implies m=\dfrac{9-(-1)}{2-(-3)}=\dfrac{10}{5}=2[/tex]

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

Substitute the found slope and point (-3, -1) into the point-slope formula:

[tex]\implies y-(-1)=2(x-(-3))[/tex]

[tex]\implies y+1=2(x+3)[/tex]

Substitute the found slope and point (2, 9) into the point-slope formula:

[tex]\implies y-9=2(x-2)[/tex]

Therefore, the correct answer option is:

[tex]\textsf{B)} \quad y-9=2(x-2)[/tex]

If 3x – y = 5 and 2x + y = 15  then evaluation of  x^2 + 2y is equal to 72.

What is evaluation ?

Finding the value of an algebraic expression when a given number is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.

3x-y=5 and 2x+y= 15

Add the two equations together to eliminate y

3x-y=5

2x+y= 15

---------------------

5x = 20

Divide by 5

5x/5 = 20/5

x = 4

Now we can find y

2x+y = 15

2(4) +y = 15

8+y =15

Subtract 8 from each side

8+y-8 = 15-8

y =7

We want to find

x^2+2xy

(4)^2 +2(4)(7)

16+56

72

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Answer:

[tex]\textsf{12.} \quad y = 6x - 5[/tex]

[tex]\textsf{17.} \quad y=-\dfrac{1}{4}x-2[/tex]

Step-by-step explanation:

Find the slope of the line by substituting two points from the given table into the slope formula.

Define the points:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6[/tex]

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-7=6(x-2)[/tex]

[tex]\implies y-7=6x-12[/tex]

[tex]\implies y=6x-5[/tex]

Given:

Therefore, two points on the line are:

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for m to find the slope:

[tex]\implies y=mx+b[/tex]

[tex]\implies -3=m(4)-2[/tex]

[tex]\implies -1=4m[/tex]

[tex]\implies m=-\dfrac{1}{4}[/tex]

Therefore, the equation of the line is:

[tex]y=-\dfrac{1}{4}x-2[/tex]

Answer:-6.5

Step-by-step explanation:

Answer:

Step-by-step explanation

Use pemdas.

P- Parenthesis

e- Exponents

m- Multiplication

d- Division

a- Additon

s-Subtraction

5÷10+2-9

=5÷12-9

=5÷3

=1.666666666667

The amount that Casey invested in the savings account is $10,000 and the amount Casey invested in the certificate of deposit is $60,000.

0.01c -  0.02s = $800 equation 1

c + s = $70,000 equation 2

Where:

Multiply equation 2 by 0.01:

0.01c + 0.01s = 700 equation 3

Subtract equation 3 from equation 1:

0.01s = 100

Divide both sides of the equation by 0.01:

s = 100 / 0.01

s = 10,000

Substitute for s in equation 2:

c + 10,000 = 70,000

c = 70,000 - 10,000

c = 60,000

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