please help!!!!! math functions​

Answer:

The new mean is 3.6

Step-by-step explanation:

Since each piece of data is now doubled that means the data is now

4.8, 3.2, 6.4, 0.6, 3

Add up all of the data which comes out to 18

Divide 18 by the number of numbers there are which is 5

This will get you 3.6 which is the new mean of the data

Answer:

Step-by-step explanation:

5) f(1)= 2x^3-3x^2-2x+a=-4

     2^3- 3^2-2+a= -4

      a=-1

6)b= 42

In the given parabola equations, the third equation [tex]y = 2x - 3x^{2}[/tex] has a maximum value.

What is the Maximum parabola?

If a parabola opens up, it has the lowest point, and if it opens down, it has the highest point. For a parabola to have a maximum value, it must be the case that the parabola opens down. Algebraically, this means that the leading coefficient in the equation of a parabola is negative (a < 0).

We have,

                              [tex]y = 0.1x^{2} - 3x\\\\y = 4x^{2} + 24x +23\\\\y = 2x - 3x^{2}\\\\y = x^{2} + 2x + 20[/tex]

For a parabola to have a maximum value, the parabola must open downward. Algebraically, this means that the leading coefficient in a parabola equation is negative (a < 0).

By Simplifying the third equation we get its leading coefficient is negative (a < 0).

                              [tex]y = -3x^{2} + 2x[/tex]

Hence in the given parabola equations, the third equation has a maximum value.

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Sathish will pay $64.8

When Satish is alone, kilometres:

Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total

When Satish is with friends, the total kilometres travelled is 2100 km:

And when Satish went alone he travelled 300 km

When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km

Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.

300 kilometres at 6 x 3 equals 18 litres.

So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.

So, 6 × 18 for 1800 kilometres is equal to 108 litres.

Gas prices when Satish is on his own:

$1.2 per litre

18 x $1.2 = $21.6

Gas prices when Satish is travelling with friends

$1.2 per litre

108 x 1.2 = $129.6

Cost for each friend = $129.6/3 = $43.2

Satish will pay: Cost when travelling with friends + Cost when travelling alone

=$43.2+ $21.6

=$64.8

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Answer:

The sides of the triangle would be 14, 16, and 18.

Step-by-step explanation:

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a) Sample mean of set is 36.375.

b) Standard deviation of sample is 6.66208.

The average degree of variability in your dataset is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. In general, values with a large standard deviation are spread out from the mean, and those with a low standard deviation are grouped together near to the mean.

Given,

a) Mean

Total number of values = 16

= Sum/Total number of values

=  34 +45+ 27 +33 +38+ 41+ 45 +29 +30+ 39 +34 +40 +28 +33 +36+ 50/16

= 582/16

= 36.375

Sample mean of set is 36.375.

b) Sample standard deviation

S² = ∈ (x i - x)²/N-1

S² = 666.75/16-1

S² = 44.383333

S = √44.38333

S = 6.66208

Standard deviation of sample is 6.66208.

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Answer:

x = 3.5units

Step-by-step explanation:

Congruent means the same length, so set the given lengths equal to each other.

8x - 17 = -2x + 18

Add 2x to both sides.

10x -17 = 18

Add 17 to both sides.

10x = 35

Divide by 10

x = 3.5

When x is 3.5, KL and ST are the same length. Check.

8(3.5) - 17 = 11

and

-2(3.5) + 18 = 11

The linear function f with the given values f(0) = 2, f(3) = -1 is f(x) = -x + 2.

What is Linear Function?

A straight line on the coordinate plane is represented by a linear function.

The linear function formulas are:

Here, we have

The given functions are f(0)=2 and f(3) = -1

For f(0) = 2

Coordinate: (0,2)

y-intercept, c: 2

For f(3) = -1

Coordinate: (3,-1)

gradient or slope, m when x₁ = 0, y₁ = 2, x₂ = 3, y₂ = -1

=( y₂-y₁)/(x₂-x₁)

= ( -1 -2)/(3 - 0)

= -3/3

= -1

The linear equation is in the slope-intercept form, y=mx+c

f(x) = -x+2, where -1 is the slope and 2 is the y-intercept.

Hence, The linear function f with the given values f(0) = 2, f(3) = -1 is f(x) = -x + 2.

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Answer:

4x

Step-by-step explanation:

the quotient of x and 2 is [tex]\frac{x}{2}[/tex] , then

8 × [tex]\frac{x}{2}[/tex] ( cancel 8 and 2 by 2 )

= 4 × x

= 4x

Answer:

  2/5 = 0.4 = 40%

Step-by-step explanation:

You want the relative frequency of students who go to Cook Middle School and prefer Energy Flow.

The table tells us the number of students who go to Cook Middle School is 35, of which 20 prefer Energy Flow. The total number of students is 50.

The relative frequency of interest is ...

  (Cook & Energy Flow) / (All students)

  = 20/50 = 2/5 = 0.4 = 40%

The relative frequency of students who go to Cook and prefer Energy Flow is 2/5, or 40%.

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not sure how much she bought, but all you’d have to do is multiply the cost of salmon fillets ($8.30) times the amount she bought.

Example: if Mrs. Patrolia bought 3 pounds it would be $8.30 x 3.

A graph of the given system of linear equations is shown in the image attached below.

In Mathematics, a graph can be defined as a type of chart that is commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would rewrite the first equation in standard form as follows:

y - 2x = 0

Adding 2x to both sides of the equation, we have the following:

y - 2x + 2x = 0 + 2x

y = 0 + 2x

y = 2x

By critically observing the graph (see attachment), a solution to the given system of linear equations are 2.5 and 5.

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This type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.

We are asked that, what would happen if you did not take absolute values before calculating the sum of differences between group means.

As, when we calculate the differences between group means then, some of the values may be negative.

When we add those negative values while evaluating the sum then the sum can be less than the absolute and to get over from this type of problem we always take absolute values of the differences between group means and then get the sum.

Also, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.

Hence, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.

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The height of the building after using proportion is  110.5 ft.

What is proportion ?

The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.

Here House height = 13ft

Shadow of the house height = 20 ft

Shadow of the building height = 170ft

Noe using proportion ,

=> [tex]\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}[/tex]

=> [tex]\frac{13}{20} = \frac{x}{170}[/tex]

=> x=[tex]\frac{13*170}{20}[/tex] =110.5 ft.

Hence the height of the building is 110.5 ft tall.

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The equation in the given question is answered in main body.

What is equation?

In arithmetic , an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =

Main body:

according to question :

A) equation for Saturday sale = 84c +157d = 2640

equation for Sunday sale = 67c +134d = 2211

when subtracted we will get, 17c +23d = 429

This equation shows the difference in sales of these 2 days in terms of ticket sold and collection.

B) According to second part solution are c= 9 , d= 12.

equation given : 17c+23d = 429

now substituting value of c and d.

⇒17(9) + 23(12)

⇒153+276

⇒429 = R.H.S

Hence equation satisfies.

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The largest change in momentum will happen when the velocity and mass of the object are doubled( option A)

The momentum of a body is the product of the mass of the body and it's velocity. Momentum is measured in kg/ms^-1. It is a vector quantity. it is represented by p

Momentum of a body is expressed as p= m× v

where m is the mass of the body and v is it's velocity. This means that the higher the mass and velocity of the body the higher it's momentum.

The initial momentum of the body of mass 850kg and velocity 10ms^-1 = 850kgms^-1

When the velocity and mass are doubled , then the new momentum will be 1700× 20= 34000kgms^-1

Therefore the largest change in momentum will be obtained when both mass and velocity are doubled.

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An ordered pair that is not marked on the coordinate plane of this graph is (8, 0).

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which represent the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.

An ordered pair can be defined as a pair of two (2) data points that are commonly written in a fixed order within parentheses as (x, y), in order to represent the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

By critically observing the given graph, we can reasonably and logically deduce that data point (8, 0) is the missing ordered pair on the coordinate plane.

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1) The speed of a horsefly in feet per second is; 0.63 beats per minute

2) The number of times that the dragonfly's wing beats per minute is; 3 ft/s

3) The number of times that a bumble bee travels in one minute is; 0.11 miles per minute

Dimensional analysis is defined as the study of the relationship that exists between physical quantities with the help of dimensions and units of measurement.

Dimensional Analysis is also defined as a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication.

1) We are given from the table that the speed of a horsefly in miles per hour = 4.4 miles per hour. We want to know the speed expressed in feet per second.

From conversions, we know that;

1 mile per hour = 1/1.467 ft/s

Thus; 4.4 miles per hour = 4.4 * 1/1.467 = 3 ft/s

2) We are given from the table that the dragonfly's wing beat per second = 38 beats per second. We want to know the dragonfly's in wing beat per minute

From conversions, we know that;

1 beat per second = 1/60 beat per minute

Thus; 38 beats per second = 38 * 1/60 = 0.63 beats per minute

3) We are given from the table that the speed of a bumble bee in miles per hour = 6.4 miles per hour. We want to know the speed expressed in miles per minute

From conversions, we know that;

1 mile per hour = 1/60 miles per minute

Thus;

6.4 miles per hour = 6.4 * 1/60 = 0.11 miles per minute

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The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.

How to find the time for a rocket to hit the ground?

The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.

Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.

According to the given question:

We are given equation for height as

h(x) = -4x² + 16x

where x is the time in seconds

When object hits the ground the height becomes 0

So, we can set h(x) = 0 and then we can solve for x

-4x² + 16x = 0

Dividing by -4x from both sides

x - 4 = 0

x = 4 sec

So, the time it takes for a rocket  to hit the ground is 4 seconds.

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Answer:

9/2

Step-by-step explanation:

X/2+1=5x

(X+2)/2=5x

x+2=10x

2=9x

X=9/2

The inequality for this graph is:

x<2

Answer: 0.0099

Step-by-step explanation:

Function g(x) have 3 x intercepts.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The function f(x) = (x + 5)(x-3) is dilated by x to produce the function

the function g(x) = x f(x).

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size

g(x)=x(x + 5)(x-3)

=x(x²-3x+5x-15)

=x(x²+2x-15)

x=0, x=-5 and x=3

The function g(x) have 3 x intercepts.

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Answer:

the answer is 1.4N/kg

The number of students that went on the field trip is 137.

Let s represent the number of seventh grade students that went on the field trip.

Total number of participants = number of students + number of teachers

a + 19

Number of participants that rode the larger bus : 2/3 x (a + 19) = 104

In order to determine the value of a, take the following steps:

Multiply both sides of the fraction by 3 / 2

a + 19 = 104 x 3 / 2

a + 19 = 156

Subtract 19 from both sides of the equation:

a = 156 - 19

a = 137

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With the help of probability we can conclude our answer.

acc to our question-

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Step-by-step explanation:

she can therefore only spend $10 of the $20.

$8.64 are adjust gone for the card game.

that leaves us with

10 - 8.64 = $1.36

to spend on lollipops.

1 lollipop costs $0.28

so, she can buy a many lollipops as times 0.28 fits into 1.36 :

1.36 / 0.28 = 4.857142857...

that means she can buy 4 lollipops max.

she would keep some change, but not enough to buy a 5th lollipops, because then she would have to cut into the $10 reserve she needs for lunch.

for 5 lollipops she would need $1.40 (5×0.28).

The number of batches of muffins Ms. Kirkland can bake with 7 ½ pounds of flour is 5 batches.

Given that, Ms. Kirkland is baking muffins. Each batch of muffins uses 1 ½ pounds of flour.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, [tex]1\frac{1}{2} = \frac{3}{2}[/tex] and [tex]7\frac{1}{2} = \frac{15}{2}[/tex]

The number of batches of muffins can she bake

= 15/2 ÷ 3/2

= 15/2 × 2/3

= 5 batches

Hence, the number of batches of muffins Ms. Kirkland can bake with 7 ½ pounds of flour is 5 batches.

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Answer: The answer is 5

Step-by-step explanation: I have my ways ;>

Answer:

16 and 12

Step-by-step explanation:

A.1 IN=2FT

8IN =2(8)FT

= 16

B.1 IN=2FT

6IN=2(6)FT

=12 FT