Given the function k(x)
k(5)= =
Calculate the following values:
1
Enter an integer or decimal number [more..]
k(-4)=
k(8) =
=
=
=
k(-5) =
=
k(- 9) =
k(-8)=
2x - 5
x < -5
-5x² + 9x + 8 -5 < x < 5
-x-4
x ≥ 5
10000

Daniel's unit rate in minutes per mile of running is 12

The amount per unit of an item is represented by the unit rate.

To determine the unit rate of an item, we divide

If Nicholas Daniel ran 5 miles in 1 hour

5 miles = 1 hour = 60 minutes

1 miles = ? minute

cross multiplying

60 * 1 = 5 * ?

? = 60 / 5

?  = 12 minutes per mile

Daniel will take 12 minutes to run 1 mile

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The statement 2(1 / 2 x - 5), when x = 20 is justified by the property of substitution.

Substitution property in mathematics is a property that helps in substituting the value of a variable into an algebraic expression to solve a given problem.

Therefore, by substituting the value of x in the algebraic expression, the expression will be solved.

Hence,

2(1 / 2 x - 5) , when x = 20

Therefore,

2(1 / 2 (20) - 5)

2(10 - 5)

2(5) = 10

Hence, the property is substitution property.  

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The double bar graph collected from the survey is given by the image presented at the end of the answer.

A bar graph shows the number of times that each observation appears in the data-set.

The double bar graph means that for each input on the bar graph, there are going to be two bars.

The meaning of each bar is given as follows:

The colors for each bar are given as follows:

Then the data of the table is used to give the height of each bin in the double bar graph.

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Answer:

x= 222 degress

Step-by-step explanation:

Answer:

The slope is 3 or 3/1.

Step-by-step explanation:

I figure this out by finding out the two beginning points with this: (x1, y1) , (x2, y2). The two beginning points (-3, -5) , ( -2,-2). Then from there you are counting by 3 to get to the next point. I hope this helps.

The missing number is      [tex]\frac{1}{5}[/tex]

Let the missing number be x.

now, [tex]\frac{5x}{7}[/tex] = [tex]\frac{1}{7}[/tex]

on cross multiplying we get,

x= [tex]\frac{7}{35}[/tex]

on simplifying,

x= [tex]\frac{1}{5}[/tex]

Hence, the missing number is      [tex]\frac{1}{5}[/tex]

What is cross multiplying?

An equation involving a variable as a component of two fractions set equal to one another can be solved by cross multiplying. Cross-multiplying lowers the proportion to one straightforward equation, enabling you to solve for the variable in issue. The variable serves as a placeholder for an unknowable number or quantity.

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Answer: y=6

Step-by-step explanation:

The average speed of the beetle is 1.53 feet per minute.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Given that, it moves 23 of a foot in 15 of a minute.

Here, the average speed

= 23/15

= 1.53 feet per minute

Therefore, the average speed of the beetle is 1.53 feet per minute.

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The confidence interval approach is the correct method by which to determine sample size. True

Confidence Interval:

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:

                    Confidence level = 1 − α

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The values of Relations, domain, range, and functions are calculated below.

What are the Relations, domain, range, and functions?

The domain of a function or relation is the set of all possible independent values the relation can take. It is the collection of all possible inputs. The range of a function or relation is the set of all possible dependent values the relation can produce from the domain values.

Domain - Set of x-values

Range - Set of y-values

3). Since, x values vary from x = -6 to x = 5,

   The domain of the graph = [-6, 5]

   Since, y-values vary from y = -2 to y = 3

   Range of the graph = [-2, 3]

4).

   The domain of the graph = [-3, 3]

   Range of the graph = [-6, 5]

5).

   Domain of the graph = (-∞, ∞)

   Range of the graph = (-∞, ∞)

6).

   Domain of the graph = (-∞, 4]

   Range of the graph = (-∞, ∞)

7).

   Domain of the graph = (-∞, ∞)

   Range of the graph = [-1, 5]

8)

   The domain of the graph = [-1, 5)

   Range of the graph = [-3, 3)

Hence, the values of Relations, domain, range, and functions are calculated above.

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Elena is covering a distance of 8 miles in one minute.

Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x

Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.

Therefore, Elena is running at a speed of 8.5 miles per minute.

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The volume of a cube is 512 m3.

Given,

The one-face area is nothing but the area of a square since it is a cube.

So,  (a2) = 64 m2.

Then, a = 8m

Hence, the side of the cube is 8 m.

Formula to calculate the volume of the cube :

The volume of the cube = a3

Volume = (8)3

Volume = 512m3

Therefore, the volume of the cube is 512m3.

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Answer: 4400

Step-by-step explanation:

The scholarship covers $14,700 / 3 =

14700/3=4900

4900 of Janice's tuition.

After the scholarship, Janice still needs to pay $14,700 - $4900 = 9800 for tuition.

Janice has saved $1000, so she needs to come up with an additional $9800 - $1000 = 8800 for tuition.

Janice and her parents will each pay $8800 / 2 = 4400

Please give the answer 5 stars if you find it helpful!

Happy to help!

We will aggregate terms with the same degree.

Therefore, the answer to the question should be Option 3 or Option C)  from the beginning.

Answer:

number from last year - number of decrease

Step-by-step explanation:

The numbers are missing from the problem, but this is what you need to do.

Start with the number of fish in the pond last year.

Subtract the number of decrease.

Answer:

5832

Step-by-step explanation:

7.08  is the probability, rounded to the nearest thousandth.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur.

                   We can discuss the probabilities of various outcomes to determine how likely they are whenever we are uncertain about the result of an event. Statistics describes the examination of events subject to probability.

Probability of getting a six on rolling a dice = 1/3

Here ,

n = 4 , p = 1/3

So, For P(X <= 1) = P(X = 0) + P(x = 1)

4C0 * (1/6)^0 * (1 - 1/3)^(4-0) + 4C1 * (1/3)^1 * (1-1/3)^(4-1)

= 1 * 1 * (5/3)^4 + 4 * (1/3) *

= 5.75 + 1.33

=  7.08

= 7.08 (nearest thousandth)

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The cost to Claire for the phones and their service for m months is $350 + $65*m.

The cost to Claire for the two phones is $350, and the cost for the service for m months is $65m, for a total cost of $350 + $65m.

Generally, Claire will pay a total of $350 + $65*m for the two phones and their service for m months.

The total cost for Claire for the two phones and their service for m months is $350 + $65*m.

The cost of the phones and service for m months to Claire is $350 + $65*m.

Claire will pay $350 for the phones and $65m for the service for a total of $350 + $65m for m months.

The cost to Claire for the two phones and their service for m months is $350 + m*$65.

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By solving a little system of equations we will see that the percentage is 66.67%

We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.

So we can write the relation:

$30 = 100%.

We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:

$20 = X

So we have two equations:

$20 = X

$30 = 100%.

If we take the quotient between these two we will get:

$20/$30 = X/100%

If we multiply both sides by 100% (so we solve the equation for X) we will get:

($20/$30)*100% = X

66.67% = X

So she will get a 66.67% of the regular hourly rate.

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Answer:

What is 213 divided? 2 I think

Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones

24 represents the cost per gallon of paint.

The process of finding the rate of change of the value dependent variable of the function changes with respect to that of the variable independent variable.

Given that, The expression 102+24x represents the total amount, in dollars, a painter spends at a store to purchase paintbrushes and x gallons of paint.

The equation is 102+24x

Here, the slope of the equation is 24, which tells the rate of change.

Hence, 24 is the cost per gallon of paint

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Answer:

Below

Step-by-step explanation:

To complete the square, the coefficient of x^2 must be 1  ( it is already)

   then take 1/2 of the x coefficient  .... 1/2.... square it and add it to both sides of the equation

   x^2 + x + 1/4   + 9   = 1/4

 then you can reduce this to

   ( x+ 1/2)^2  + 9 = 1/4   for further 'solving'

Answer:

DF=FE

Step-by-step explanation:

first to make it easier we can find the angles to each side

the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180

(3x+5)+(4x-15)+(2x+10)=180

9x+0=180

/9.     /9

x=20

now we can find each angle

3(20)+5

60+5

D=65 degrees

4(20)-15

80-15

E= 65 degrees

2(20)+10

40+10

F=50 degrees

Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT

Since there are 2 of the same angles this is an isosceles triangle

the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal

hopes this helps

Answer: x=3.2

Ste by Step

We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that  the perimeters of x is

x=3.2

From the question we are told

The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.

Generally the equation for the the ratio is mathematically given as

2=x

and

5=8

Therefore

x=3.2

Therefore

the perimeters of x is

x=3.2

The correct inequality for the statement - highest temperature possible today is 95 °F

x ≤ 95 °F

The statement saying the highest temperature possible today is 95 °F is represented by

knowing that the temperature will never be greater than 95 °F, hence the temperature values is from 95 °F and downwards

assuming x represents the measles of the temperatures then

x is less than or equal to 95 °F means x can be any value but never greater than 95 °F

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By graphing the system of equations, we can see that the solution is (3, 5).

I assume we want to solve the following system of equations graphically:

x - 3y = -12

2x - y = 1

To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.

There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.

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By completing a complete revolution on the soda can-like profile about the y-axis to generates a cylinder-like solid that is the result of the combination of three cones and a cylinder.

In this problem we find a representation of a soda can-like profile, whose complete revolution generates a cylinder-like solid. This solid is the result of the combination of three truncated cones (lower trucated cone, middle cone, upper cone) and a cylinder (right cylinder). There are two axes for the rotation, a horizontal axis (x-axis) and a vertical axis (y-axis).

The first axis, that is, the horizontal axis, is along the base of the can-like profile and the second axis, that is, the vertical axis, is along a side of the can-like profile. The solid of revolution is generated by rotating around the y-axis.

In consequence, the solid generated by a revolution creates a soda can-like profiles as the result of combining three truncated cones and a cylinder.

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The mid-point of the sides of this quadrilateral are the vertices of a parallelogram.

You should know that in every parallelogram, the opposite sides are equal and parallel.

The given vertices are (2,4), (5,8), (9,5) and (6,1).

Let the vertices be A,B,C,D And the midpoints of the sides be M, N, O, P

Coordinates of A  (2+5)/2 , (4+8)/2 = (3.5 , 6)

Coordinates of B  (5+9)/2 , (8+5)/2 = (7,6.5)

Coordinates of C  (9+6)/2 , (5+1)/2 = (7.5, 3)

Coordinates of D  (6+2)/2 , (1+4)/2 = (4 , 2.5)

The distance between the vertices is denoted by the formula

distance = [tex]\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex]

AB= √(3.5-7)²+(3-6.5)² = √12.5 = 3.5

BC= √(7-7.5)²+(6.5.3)² = √6.5 = 2.5

CD= √(7.5-4)²+(3-2.5)² = √12.5 = 3.5

DA= √(4-3.5)²+(2.5-6)² = √6.5 = 2.5

From the calculations, it is clear that  the opposite side of the quadrilateral are equal

This means that quadrilateral is a parallelogram

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The correct question:

A quadrilateral has the vertices at the point (2,4), (5,8), (9,5) and (6,1). Show that the mid-point of the sides of this quadrilateral are the vertices of a parallelogram.

Answer: False

Step-by-step explanation:

If [tex]y=0.5[/tex], then [tex]y^2=0.25[/tex], whereas [tex]y=0.5[/tex].

Therefore, this is a counterexample. Hence, the statement is false.