What is the value of this expression when c = -4 and d = 10?


A.
2
B.
9
C.
21
D.
41

A number line is a line that shows the locations of all directed numbers. The answers required to the question are:

i. The location of G is 2.18.

ii. The length of FG is 0.98.

A number system is a system that can be used to locate the position of directed numbers on a number line. A number line has two ends: positive and negative ends. This starts from negative infinity to positive infinity. Thus all numbers can be located on a number line.

Directed numbers are numbers that have either a positive sign or a negative sign. Thus all numbers are directed numbers.

From the given question, let the distance between FG and GH be represented by x (since Point H is the length of FG from point G).

Thus,

Point FH = 3.15 - 1.20

              = 1.95

x = [tex]\frac{FH}{2}[/tex]

   = [tex]\frac{1.95}{2}[/tex]

x = 0.975

So that,

Location of point G = 1.200 + 0.975

                                = 2.175

Therefore, the location of G is 2.175 (2.18). And the length of FG is 0.975 (0.98).

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Answer:

Location of G: 6.4

Length of FG: 5.2

Step-by-step explanation:

correct on Edementum/Plato

Answer:

y = 13.2ft

Step-by-step explanation:

This is a bit of trial and error.

We know that the height of one rectangle is 6.2ft, which means we cannot subtract 7 from 6.2 to find the height of the other rectangle as it will give us a negative value and it will not make sense.

Therefore the height of the other rectangle has to be 7ft higher.

y = 6.2 + 7 = 13.2ft

Answer:

The second graph

Step-by-step explanation:

Well you're given the equation in slope-intercept form, which looks like: y=mx+b, where m is the slope, and b is the y-intercept. This is because the y-intercept is when x=0, so mx will becomes 0, thus leaving b alone, and making it the y-intercept. m is the slope because as x increases by 1, the y-value goes up by m, so the "rise" is m and the "run" is 1. The definition of the slope is rise/run so the slope would be m/1 or just m.

So let's analyze the equation: y=25x+40. the slope will be 25, and the y-intercept will be 40 (this is important for easily filtering very obviously wrong answer). So the linear equation will intersect the y-axis at (0, 40). Only one of the graphs intersects the y-axis at (0, 40) which is the second graph.

Its the first one, because x wont be affected, and 1 and -3 is a constant.

The graph of f(x) is shifted up by 5 units to get g(x)

The functions are given as:

g(x) = x + 5

f(x) = x

Substitute f(x) = x in g(x) = x + 5

So, we have:

g(x) = f(x) + 5

The above means that the graph of f(x) is shifted up by 5 units to get g(x)

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Answer:

Complementary: Angle SRP and Angle PRQ

Supplementary: Angle SRO and Angle SRQ

Step-by-step explanation:

Complementary: 90 degrees

Angle SRP and Angle PRQ

Supplementary: 180 degrees

Angle SRO and Angle SRQ

Answer:

x = -1

y = -2

Step-by-step explanation:

You can use the method of substitution to solve this equation. Since you know that y= 2x, you can substitute that value into x + y = -3:

x + (2x) = -3

Combine like terms:

3x = -3

x = -3/3

x = -1

Now that you know the value of x, you can substitute it into any of the two equations (I'll be choosing y = 2x)

y = 2x

y = 2 (-1)

y = -2

So your solution is x = -1, y = -2

Point form: (-1, -2)

Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence

Series are defined as sum of sequences. Given the following sequence

5, 10, 15, ..., 100

The common difference is 5 and the number that have digits zero in the sequence are 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100

Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence

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A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.

A function assigns the value of each element of one set to the other specific element of another set.

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2.

1.) h(8) = 21

Since the value of h(8) is 19. This can not be the correct option.

2.) h(-3) = -1

Since the range is from 1 to 25. Therefore, this is not the correct option.

3.) h(13) = 18

Since the domain is from -3 to 11. Therefore, this is not the correct option.

4.) h(2) = 16

This is the only option that is feasible. Thus, this is the correct option.

Hence, the correct option is D.

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Answer:

see image

Step-by-step explanation:

Putting the data on the line plot is not too bad. Just put an x above the number on the numberline. If a number in the data set repeats, just stack those x's up over the numberline. It seems like the hardest part is labelling the number line. Each tick mark can be 1/8. On the image I wrote all the fractions in eighths at the bottom, then to label the numberline I used the simplified fractions. For example I started with 1 3/8 because it was the smallest number in the data set. Next is 1 4/8, but simplified that is 1 1/2. So 1 1/2 is how we label the numberline.

There were 12 pieces of data, but really only six numbers because some were repeated.

Stack x's above the numberline. Done! You have a line plot. See image.

Answer:

1. 1/⅜

2. 1/⅜

3 is 2/¼

4 is 2/¼

5 is 2/¼

6 is 2/⅞

7 is 2/⅞

8 is 2/⅞

9 is 3/⅛

10 is 3/⅛

11 is 3/⅛

Step-by-step explanation:

Mixed number to Improper Fraction

1.9/4

2.13/4

3.23/8

4.25/8

5.23/8

6.25/8

7. 5/2

8.9/4

9. 23/8

10. 5/2

11. 11/8

12. 25/8

then you make it into the same denominator

1. 18/8

2. 26/8

3. 23/8

4. 25/8

5. 23/8

6. 25/8

7. 20/8

8. 18/8

9. 23/8

10. 20/8

11. 11/8

12. 25/8

then what ever numerator is smallest you put at front and it goes onto the biggest one

e.g ASCENDING ORDER

However you'll need to put it back into the normal mixed number, so all you have to do is revert let's say 25/8 into 3/⅛, and put it onto the graph

1. 1/⅜

1. 1/⅜2. 1/⅜

. 1/⅜3 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼6 is 2/⅞

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼6 is 2/⅞7 is 2/⅞

8 is 2/⅞

9 is 3/⅛

9 is 3/⅛10 is 3/⅛

11 is 3/⅛

and number 12 which is the biggest and the last one the you should put(on the end of graph) is

3/¼

I did rush this so I hope this is the correct answers

This question is incomplete. Below you can find the missing content.

Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units

(3, -1) and (5, 4)

(2, 3) and (4, 5)

(-5, 7) and (8, 5)

(-2, 4) and (3, -1)

The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

The distance between two points can be calculated by the formula given below

Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²

where (x1,y1) and (y1,y2) are the coordinates of the points.

The distance between the points which is of coordinates (3, -1) and (5, 4)

d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units

The distance between the points which is of coordinates (2, 3) and (4, 5)

d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units

The distance between the points which is of coordinates (-5, 7) and (8, 5)

d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units

The distance between the points which is of coordinates (-2, 4) and (3, -1)

d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units

Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

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The total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.

The methods we use to add or subtract decimals are as follows:

In the question, we are informed that two friends bring lemonade to the cookout. The first brings 2.7 liters and the second brings 3.54 liters.

We are asked to find the total lemonade brought by them to the cookout.

To find the total lemonade, we add both the decimal quantities following the steps discussed.

    2.7

+   3. 54

Step 1: Adding zeroes:

    2.70

+   3. 54

Step 2:  Treating them as numbers and adding:

    2.70

+   3. 54

________

    624

Step 3: Aligning decimal points:

    2.70

+   3. 54

________

    6.24

Thus, the total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.

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The answers are as follows:

A trapezoid with its two nonparallel sides equal.

Given:

<BAD =65

As, MN is mid segment

So,

BC= 2CM

BC = 16

Now, ABCD is isosceles trapezoid

BC= AD

So, AD= 16

and, Using mid- point theorem

MN= 1/2 AB

MN = 1/2* 22

MN= x = 11

Also, co- interior angle sum is 180 in trapezium

<BAD + <BCD = 180

<BCD + 65 =180

<BCD = 115

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Answer:

16.2 kilograms

Step-by-step explanation:

30 300-gram cans = 9000 grams of soup

18 400-gram cans = 7200 grams of vegetables

9000 + 7200 = 16200 grams

1000 grams = 1 kilogram

16200 / 1000 = 16.2 kilograms

The total amount of food students collect in kilograms will be equal to 16.2 kilograms food.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

The number of cans of soup in one box = 30 cans

And each can has 300 grams of soup.

So , the total amount of soup in one box is :

= 30 × 300

= 9000 grams of soup

Now , in the other box there are 18 cans of vegetables and each can has 400 grams of vegetable.

So , the total amount of vegetable in the other box is :

= 18 × 400

= 7200 grams

Total food students collect is :

= 9000 grams soup + 7200 grams vegetables

= 16200 grams food

We know that :

1000 grams = 1 kilogram

So , converting grams into kilograms we get :

16200 / 1000 = 16.2 kilograms food

Therefore , the total amount of food students collect in kilograms will be equal to 16.2 kilograms food.

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Answer:

200

Step-by-step explanation:

72---->36%

x------> 100%

72×100

7200÷36=200

To check, let do it the other way round. 200×0.36=72.

There was total 200 multiple choice history question in Ximena's exam.

For the given question,

Total questions answered by the Ximena is 72.

The total percentage was 36%.

Let 'x' be the total number of the questions.

Then,

36% of x = 72

36x /100 = 72

x = 7200/36

x = 200

Thus, there was total 200 multiple choice history question in Ximena's exam.

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The values gotten for the  coordinate plane are;

The Reason for the obtained value is that since thee rule for the dilation of ΔRST is:

Then, the distance that exist between the x-coordinate of R and T will be:

3 - 0

= 3

Then the distance between the y-coordinate of R and T will be:

4 - (-2)

= 6

Note that the location of the point R' is said to be relative to point T and as such:

The location of point R'

= (-1 + 3, 2 - 2)

= R'(2, 0)

Hence R' is (-1, 2) from T, and the coordinates of R' is (2, 0)

Therefore, The values gotten for the  coordinate plane are;

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Answer:

C.) ✔ 3

D.) ✔ 6

B.) ✔ 1 unit left, 2 units up

D.) ✔ (2, 0)

Step-by-step explanation: i hope this helps :)

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

The functions are given as:

f(x) = x

g(x) = mx

Substitute f(x) = x in g(x) = mx

g(x) = mf(x)

From the question, we understand that:

m > 1

This means that;

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

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Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

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Using the law of cosines, it is found that the approximate measure of angle G is of 41.4º.

The law of cosines states that we can find the angle C of a triangle as follows:

[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]

in which:

In this problem, we want to find angle G, hence c = 8, then:

[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]

[tex]8^2 = 10^2 + 12^2 - 2(10)(12)\cos{G}[/tex]

[tex]240\cos{G} = 180[/tex]

[tex]\cos{G} = \frac{3}{4}[/tex]

[tex]G = \arccos{\left(\frac{3}{4}\right)}[/tex]

G = 41.4º.

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Answer: DE NADA

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32  × 100%

                                     = 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

The percent decrease is approximately 15%.

The percent decrease is approximately 21%.

The percent decrease is approximately 43%.

The percent decrease is approximately 78%

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Answer: 0

Step-by-step explanation:

When x=0, y=4.

When x=4, y=4.

So, the rate of change is 0.

Answer:

12.56 Inches

Step-by-step explanation:

1. The formula to find the circumference is 2 * Pi * r

2. Using this formula we get 2 * 3.14 * 2 = 12.56

3. The radius is in inches so our final answer will also be in inches.

Answer:

The Circumference of the circle would be 12.56 inches

Step-by-step explanation:

All you have to do is multiply the radius by 2 the multiply by pi (3.14)

Use the formula and you will get that the circumference is 12.56

Hope this helped! :D

Answer:

Magnitude and Direction is 928 and 44

Step-by-step explanation:

For a Vector w = (x)i+(y)j

The Magnitude of w [tex]=\sqrt{x^{2} +y^{2} }[/tex]

and the Direction of w [tex]=tan^{-1}(\frac{y}{x} )[/tex]

So for our Question , w = - 168i - 160j

Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j

Then the Magnitude of -4w = [tex]\sqrt{672^{2} +640^{2} } =928[/tex]

and the Direction of -4w = [tex]tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44[/tex] ( to the nearest whole number)

Hope it Helps:)

Answer:

4

Step-by-step explanation:

LCM of 2 and 4 (denominators of fraction)

= 4

Answer:

£216.60

Step-by-step explanation:

If 5 calculators cost £31.25, then each calculator costs £6.25

If 3 pens cost £2.91, then each pen cost £0.97

30(6.25) + 30(0.97) = £216.60

Answer: 16

Step-by-step explanation:

[tex](g \circ f)(-6)=g(f(-6))\\\\f(-6)=-(-6)-2=4\\\\\implies g(f(-6))=g(4)=4^2 = \boxed{16}[/tex]

The value of the function estimation; (g°f)(-6) is; 64.

It follows from the task content that; the fumcti given are; f(x) = -x-2 and g (x) =x².

Hence, the function (g°f) (x) can be evaluated as; (-x-2)² = x² +4x +4.

Ultimately, when x = 6; (g°f)(-6) = 6² +4(6) +4 = 64.

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Applying the centroid theorem, the length of TY is calculated as: 18 units.

According to the centroid theorem, given a triangle like TUV with Y as the centroid, the theorem states that:

TY = 2/3(TW)

YW = 9 units

TW = TY + 9

Plug the values into the equation

TY = 2/3(TY + 9)

3(TY) = 2(TY + 9)

3(TY) = 2(TY) + 18

3(TY) - 2(TY) = 18

TY = 18

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Answer:

See attached image.  

250 shirts at $50/shirt is the equilibrium.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.