Find the range of the following piecewise function.



[0,11)
(-4,6]
(0,11]
[-4,6)

Answer:

x = 9

m<H = 38 degrees

Step-by-step explanation:

Answer: 9

Step-by-step explanation: sub in 9 for x in 5x-7. we get 38. add 38 and 89 and then subtract that sum from 180, which is 53. now add 53 to 14x+1 and make it equal to 180. To solve for x, subtract 54 from both sides, which gives us 14x=126. Divide both sides by 14 and we get x =9. Now that we know that 9 works for x in both equations, the answer is 9.

Answer:

=($25×5)+($125×5)

=$125+$625

=$750

Answer:

2.65 gallons

Step-by-step explanation:

He originally had 4 gallons and he used 1.05 gallons.

4 - 1.05 = 2.95

He then used another three-tenths to take another friend home.

Three-tenths is equal to 3/10 or 30/100 or 0.30

2.95 - 0.30 = 2.65 gallons

Answer:

$42,857.14

Step-by-step explanation:

12% = 12/100 = 0.12

If the teller's current salary is D and it increases by 12% in one year, the salary next year would be

X(1+0.12) = 1.12X

We know that salary next year is 48000

Using this fact,

1.12X = 48000

Dividing by 1.12 on both sides,

X = 48000/1.12 = 42,857.14

Answer:

13

Step-by-step explanation:

Area of triangle = 0.5 × base × height

= 0.5 × 6 × 13

= 39

Area of parallelogram = 4 × Area of triangle

Note - Area of parallelogram = base × perpendicular height

Hence,

Base × perpendicular height = 4 × 39

12 × H = 156

H = 156 ÷ 12

= 13

Answer = 13

Answer:

h = 13 cm

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 6 and h = 13 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 13 = 3 × 13 = 39 cm²

Then the area (A) of the parallelogram = 4 × 39 = 156 cm²

the area (A) of the parallelogram is calculated as

A = bh ( b is the base and h the height )

here b = 12 , then

12h = 156 ( divide both sides by 12 )

h = 13

The distance between the given points P(-7,8) and J(-3,1) is √65 = 8.06225775

Given that, The points are P=(-7,8) and J = (-3,1).

A coordinate plane is a surface formed by two dimensional lines .

The distance between the points is calculated using the distance formula that is, distance between A(x1,y1) and B(x2,y2) is,

√[(x2-x1)²+(y2-y1)²], by using this formula you can find the distance between any two points on the plane.

Therefore the distance between the given points P and J is ,

  PJ = √[(-3+7)²+(1-8)²]

       = √[(4)²+(-7)²]

       = √[(16) + (49)]

       = √[16+49]

       = √[65]

       = 8.06225775

PJ = 8.06225775

Therefore the distance between the given points P(-7,8) and J(-3,1) is 8.06225775

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The total time they will be driving the second day is 8 hours

The total distance they are planning to go  = 900 miles

Distance travelled on first day = 420 miles

Distance yet to be  travelled on second day = Total distance - distance covered = 900 miles- 420 miles= 480 miles

The speed of the car = 60 miles per hour

60 miles of distance covered in time = 1 hour

1 mile of distance covered in time = 1 hour /60 miles = 1 minute

This is solved using Unitary Method

1 hour = 60 minutes

480 miles can be covered in time = 1 minute × 480 miles

                                                         = 480 minute

                                                         =8 hours

Hence, The total time they will be driving the second day is 8 hours

Distance and displacement are two quantities that appear to mean the same thing but have very different meanings and definitions. Distance is defined as "how much ground an object has covered during its motion," whereas displacement is defined as "how far out of place an object is."

Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point.

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Answer:

4/45

Step-by-step explanation:

8 - 4

9   5

=  8 × 5 - 4 × 9

       9 × 5   5 × 9

=  40 - 36

       45   45

=  40 – 36

            45

=  4

      45

8/9 - 4/5

= 4/45

Answer: 14,825 is the answer

Step-by-step explanation:

Answer: 14,825

Step-by-step explanation:

its easy.

Answer:

y= -3 or just -3

Step-by-step explanation:

The volume of the square frustrum, the volume of the pyramid and the volume of the obelisc are 1018791.667 ft³, 22019.625 ft³ and 1040811.292 ft³, respectively.

In this problem we must determine the volume of a obelisc, which is equal to the sum of the volumes of a square frustrum and a pyramid with a square base. First, sum the volumes of the frustrum and the pyramid:

V' = (1 / 3) · 500 · (55² + 55 · 34.5 + 34.5²)

V' = 1018791.667 ft³

V'' = (1 / 3) · (34.5)² · 55.5

V'' = 22019.625 ft³

Second, calculate the volume of the obelisc:

V = V' + V''

V = 1018791.667 ft³ + 22019.625 ft³

V = 1040811.292 ft³

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when you make predictions about data that is not recorded, but falls between the data collected it is called Predictive analytic.

Data mining, predictive modeling, and machine learning are only a few of the statistical methods included in predictive analytics, which examine current and past data to anticipate future or otherwise unknowable occurrences.

Predictive models are used in business to detect risks and opportunities by making use of trends observed in historical and transactional data. In order to estimate the risk or potential associated with a certain set of variables and guide decision-making for possible transactions, models contain interactions among many different elements.

When we make a prediction about data is called predictive analytic.

But when it's not recorded it's called extrapolation.

But if it falls between data collected it called Predictive analytic.

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Answer:

Step-by-step explanation:

−3   (x+2)   =    −18

(−3)   (x)  +  (−3)   (2)  =  −18                                    (Distribute)

−3x    +   −6   =    −18

−3x   −6   =   −18

−3x  −6   +6    =  −18  +  6

−3x=  −12

−3x/−3     =   −12/−3

x   =   4

The correct form of the expression is 5(2x - 2)

It should be noted that the expression that is given is illustrated as:

3x-5-2x + 9x.

To solve this, collect the like terms

3x - 2x + 9x - 5

= 10x - 5

= 5(2x - 1)

The correct form of the expression is 5(2x - 1)

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Answer: the front of the four numbers is always the total

Step-by-step explanation:  like 258 + 134 + 69 + 36= 497

Jen planned to spend 19/4 hours paddleboarding

Bella and her friends spent 3/4 hour at the Lake paddleboarding

Proportions: A proportion is an equation that can be solved and is made up of two ratios that have been set equal to one another.

When I state that a proportion is the product of two ratios that are equal to one another, I mean that two fractions must also be equal to one another.

Also, the sun doesn't go down for another 4 hours

So, 4 + 3/4 = 4.75 hours = 475/100 = 19/4 hours

Hence, Jen planned to spend 19/4 hours paddleboarding

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Answer:

[tex]\frac{10}{3}[/tex] or 3.3333.....

Hope this helps.

Step-by-step explanation:

( negative ) * ( negative ) = ( positive )

5 *  [tex]\frac{2}{3}[/tex] = [tex]\frac{5*2}{3}[/tex] = [tex]\frac{10}{3}[/tex]

Statements A and C are correct.

Here, we are given that Arika and Savroop have 19 ½ cups of flour. Arika had a recipe for banana bread that calls for 1 ⅞ cups of flour. Savroop has a recipe that calls for 1 ½ cups of flour.

Let us evaluate each option one by one-

A. Arika's recipe will make 10 whole loaves of banana bread.

Arika's recipe requires 1 ⅞ cups of flour = (8 + 7)/8

= 15/8

Total flour they have = 19 ½ = (19 × 2 + 1)/2

= 39/2

Thus, Arika's recipe will make = 39/2 ÷ 15/8

= 39/2 × 8/15

= 13 × 4/ 5

= 52/5

= 10.4

Thus, the given statement is correct.

B. Savroop's recipe requires 1 ½ cups of flour = (2+ 1)/2

= 3/2

Thus, Savroop's recipe will make = 39/2 ÷ 3/2

= 39/2 × 2/3

= 13

Thus, the given statement is incorrect. Savroop's recipe will make only 13 whole loaves.

C. As we can see above, Arika's recipe will make 10.4 loaves and thus 0.4 cups of flour will be left over. Whereas, in case of Savroop, no flour will be left over. Thus, the given statement is true.

D. By the same reasoning given above, the given statement is false as there will be less flour leftover if Savroop's recipe is used.

E. The given statement is again false as Arika's recipe will make only 10 loaves whereas Savroop's recipe will make 13.

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The difference in altitude between a mountain that has an altitude of 2593feet and a desert valley that is 394feet below sea level is

dA=2987feet

Generally, the equation for the difference  is  mathematically given as

dA= mountain  altitude -  desert valley

Therefore

dA=2593-(-394)

dA=2593+394

dA=2987feet

In conclusion, The height of a mountain that is located at an elevation of 2593 feet compared to the elevation of a valley in the desert that is 394 feet below sea level is the difference in altitude.

dA=2987feet

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For the two given statements are:

"For every dollar you spend, you can get pounds of grapes."

If one pound costs $2, then for each dollar you will get half a pound.

"For each pound of grapes, you would need"

For each pound of grapes you will need 2 dollars.

Here we know that the graph shows the relationship between the pounds of grapes (g) and the cost (c). Such that the cost is on the horizontal axis, and the weight on the vertical axis.

We have the points:

Then this is a proportional relationship, and we can see that each pound of grapes costs $2

Then the statements are:

1) "For every dollar you spend, you can get pounds of grapes."

If one pound costs $2, then for each dollar you will get half a pound.

2) "For each pound of grapes, you would need"

For each pound of grapes you will need 2 dollars.

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The percent of the increase in the number of yards Nicole swam will be 33.33%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Nicole swam 1,200 yards during the swim rookie minicamp before the break. She swam 1,600 yards after the break.

Then the percent of the increase in the number of yards Nicole swam will be

P = [(1600 - 1200) / 1200] x 100

P = (400 / 1200) x 100

P = 0.3333 x 100

P = 33.33%

The percent of the increase in the number of yards Nicole swam will be 33.33%.

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Answer:

3d-4

Step-by-step Explanation:

2d+1+d-5 Combine like terms 2d and d together which is 3d. That leaves you with 1-5 which is -4. so then you end up with 3d-4 as your answer.

In the given picture there is a graph and we have to find out is that graph is one to one or not.

It is a one to one graph.

In the graph there is line.

To know is the line is one to one or not we have to check 1st that the line is a function or not.

To check the line is function or not we have to do by vertical line test.

Graphically, the vertical line test is a way to determine if a line is a function or not.

To perform the vertical line test, we pass the vertical lines arrows the graph and if it does not intersect the graph more then one point it passes the vertical line then it can say as a function.

In the given figure1 we can see the vertical lines does not touch the line in the graph more then one point so it is a function.

Now, we know the line is a function so now we have to check if the line is one to one or not.

To check the line is one to one or not we have to do by horizontal line test.

Graphically, the horizontal line test is a way to determine if a line is a one to one or not.

To perform the horizontal line test, we pass the horizontal lines arrows the graph and if it does not intersect the graph more then one point it passes the horizontal line then it can say as a one to one function.

In the given figure2 we can see the horizontal lines does not touch the line in the graph more then one point so it is a one to one function.

Therefore, The graph is a one to one function.

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Answer: A. [tex]3\sqrt{5}[/tex]

B. l=[tex]6\sqrt{5}[/tex], w=[tex]3\sqrt{5}[/tex]

Step-by-step explanation:

A. A=l*w

l=2w

A=2w*w

90=2w*w

w*w=45

w=[tex]\sqrt{45}[/tex]

w=[tex]\sqrt{9*5}[/tex]

w=[tex]3\sqrt{5}[/tex] ==> Square length and the rectangle width

B. 90=l*w

90=l*[tex]3\sqrt{5}[/tex]

30=l[tex]\sqrt{5}[/tex]

l=[tex]\frac{30}{\sqrt{5} }[/tex]

l=[tex]\frac{30\sqrt{5} }{5}[/tex]

l=[tex]6\sqrt{5}[/tex], w=[tex]3\sqrt{5}[/tex]

Answer:

x=-4

Step-by-step explanation:

8x+4=-28

8x=-28-4

8x=-32

x=-4

Answer:

13,-13 are the factors

The steps are

x²-13²=(x+13)*(x-13)

so the factors are 13,-13