Which equation represents a linear function? Iready- Understand functions, Level H.

Answer: Find step-by-step Probability solutions and your answer to the following textbook question: The velocity (v metres per second) of a body is known to be proportional to the square root of its kinetic energy (e j.) I don't know if this will help

Step-by-step explanation:

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

Herein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:

Now we proceed to solve the inequality given:

||x - 4| - 7| < 5

- 5 < |x - 4| - 7 < 5

0 < |x - 4| - 2 < 10

|x - 4| - 2 > 0 and |x - 4| - 2 < 10

Case 1: |x - 4| - 2 > 0

|x - 4| > 2

x - 4 > 2 and x - 4 < - 2

x > 6 and x < 2

Case 2: |x - 4| - 2 < 10

|x - 4| < 12

x - 4 < 12 and x - 4 > - 12

x < 16 and x > - 8

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

To learn more on inequalities: https://brainly.com/question/20383699

#SPJ1

Using Distributive Property, the product of 6x13 is 78.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

The steps of distributive property are -

                                                 6 × 13

                                              6 × (10 + 3)

                                          (6 × 10) + (6 × 3)

                                  ((3 + 3) × (5 +5)) + ((3 + 3) × 3)

                 (3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))

                                     (15 + 15 +15 + 15 ) + (9 + 9)

                                                  60 + 18

                                                    = 78

To learn more about distributive property from given link

https://brainly.com/question/2807928

#SPJ4

64°

Step-by-step explanation:

Let the missing angle be x.

Sum of angle of a triangle=180°

Therefore,

48°+68°+x=180°

x=180°-116°

x=64°

Answer: y=-8x+3

Step-by-step explanation:

Parallel lines have the same slope.

y=-8x+b

-5=-8(1)+b

-5=-8+b

b=3

y=-8x+3

The frequency of mice that are heterozygote is 0.3492

It is required to find the frequency.

The number of waves that pass a fixed point in unit time being, measured in hertz(Hz).The number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

Given:

Population =200 mice

Gray fur mice= 120 mice

By the use of Hardy-Weinberg equation we have,

Hardy-Weinberg equation is given by

p² + 2pq + q² = 1 and p + q = 1

where, 2pq is the heterozygote frequency.

p² = 120/200

p = 0.7746

p + q = 1

q = 0.2254

Heterozygote frequency = 2pq = 2(0.2254)(0.7746) = 0.3492

Therefore, the frequency of mice that are heterozygote is 0.3492.

Learn more about frequency here:

https://brainly.com/question/5102661

#SPJ4

Cost price is also known as CP. cost price is the original price of an item. The cost is the total outlay required to produce a product or carry out a service. Cost price is used in establishing profitability in the following ways: Selling price (excluding tax) less cost results in the profit in money terms.

A "selling price" is the price that the seller gives. something that he/she wants or is offering to sell. The item has not been sold. yet. A "sale price" could be the price that was actually paid by a buyer

1.

she earns if she babysits 3 children for 4 hours= $63.

solution :

Given :

Latoya earns $1.75 an hour for each child she babysits

Total Number of babysitting hours for 3 child= 3x12=36 hours

let,

Total amount earned by Latoya: S

S= 36x1.75

S= $63

she earns if she babysits 3 children for 4 hours= $63.

2.

James's total after the discount = $108.75

Given :

his total before the discount is $145.20

receives a 25% discount on his purchases

Solution :

Buy price = MRP X DISCOUNT /100

Let the Buying price is c

c = 145x25/100

c = 145/4

c= $ 36.25

= MRP - DISCOUNT

Let James's total after the discount =  p

p= 145-36.25

p= $108.75

3.

paid back after the third week= 19.5

Given :

Kegan borrows $78 from his sister.

Time = 4 week

each week Payment = 78/4=19.5

paid back after the third week= 19.5

4.

Ashley spends at the grocery= $8.34

Solution :

a loaf of bread = $1.09,

a pound of turkey = $4.59,

2 cans of soup =2x$0.79 each=$ 1.58

4 oranges = $0.27 x4= $1.08

Ashley spend at the grocery= 1.09 + $4.59, +$ 1.58+ $1.08 =$ 8.34

Ashley spends at the grocery= $8.34

5.

joe ticket is less Jackie's by 236-227=  $9

Solution :

Jackie buys a one-way ticket to Nevada=$118

a one-way ticket back home=$118

Total = $118x2 =$236

But

Joe buys a round-trip ticket to Nevada for $227

joe ticket is less Jackie's by 236-227=  $9

More details :   brainly.com/question/19687415

#SPJ9

Answer:

15

Step-by-step explanation:

Purdue : IU

   12      :  5

   36     :  x

cross multiply

36*5 = 12x

180 = 12x

180/12 = x

x = 15

Answer:

36/12= 3 so 5*3 would give you 15

Answer:

x = 13

Step-by-step explanation:

7x/7 = 91/7

cancel the common factor of 7

cancel the common factor

7x/7 = 91/7

divide x by 1

x = 91/7

simplify the right side

divide 91 by 7

x = 13

The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.

Perimeter of the rectangle:

Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.

The formula for perimeter of the rectangle is,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle

Given,

A rectangle garden has a length of 5 less than 2 times the width.

The perimeter if 50 meters.

Here we need to find the side lengths of the rectangle garden.

Let w be the width of the garden.

According to the given details, the length is

l =2w - 5

Now apply the values on the perimeter formula,

Then

=> 2 ((2w - 5) + w) = 50

=> 2 (3w - 5) = 50

=> 3w - 5 = 25

=> 3w = 30

=> w = 10 meters.

Apply the value of width on the equation to find the length of the garden.

=> l = (2 x 10) -5

=> l = 20 - 5

=> l = 15 meters.

Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.

To know more about Perimeter of the rectangle here.

https://brainly.com/question/2142493

#SPJ4

The scale of the drawing is in the ratio of 1 millimeter : 3 meter

In this, we need to find the ratio that is 1millimeter:x meter where x is the original scaling of the plot.

We have been given that

                   24 millimeters = 72 meters

Now we have to find how many meters is equal to 1 millimeter which will find out by the unitary method.

Thus,   24 millimeters = 72 meters

               1 millimeter = 72/24 meter

               1 millimeter = 3 meter

Hence the scale of the drawing is 1 millimeter : 3 meter

Learn more about ratio here : https://brainly.com/question/26460724

#SPJ9

Answer:

Option A, or x-5>57

Step-by-step explanation:

Answer: 34

Step-by-step explanation:

The denominator in the earnings per share formula is number of common shares outstanding.

What is the denominator used in the computation of earnings per share?

How are basic earnings per share determined?

Learn more about Basic EPS

brainly.com/question/14829381

#SPJ4

Answer:

cdf

Step-by-step explanation:

VV Goku uiiuuyujn. b. nnm, 1

Step-by-step explanation:

make a scale drawing of swimming pool where 1 centimeter represents 5 meters

Answer:

The sum is negative because the number with the greatest value is negative.

Step-by-step explanation:

If the it's the same sign add, if not subtract.

8-3=5

keep the sign of the bigger number.

-5

Hope It Helps

Sorry If I'm Wrong

Answer: Yes

Step-by-step explanation:

The answer is negative. That is because you are adding three to negative 8.

Think about it. 8 is greater than three, right?

-8 + 3 = -5

You are bringing -8 closer to 0:

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...

Bring -8 three spaces closer to 0. You get -5.

Hope this helps.

Answer: 116 61/100 miles

Step-by-step explanation: Road trip is 245 7/50 miles long

They have already driven 128 53/100

Those are mixed fraction. To facilitate the calculation, we should transform them into improper fractions (numerator > denominator)

245 7/50 = (50*245+7)/50 = 12257/50

128 53/100 = 12853/100

To find out much farther they have to drive, we need to subtract how much they have already driven to the total lenght of the trip:

12257 - 12853 = 24514 - 12853 = 11661

50         100             100                100

They still have 11661/100 to drive. In mixed fraction:

116 61/100 miles

Answer:

Multiplicative inverse or reciprocal.

Step-by-step explanation:

Multiplicative inverse or reciprocal.

62°

A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.

When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"

∠1+∠2 = 35° +27°

             =62°

To learn more about lines and angles, refer to https://brainly.com/question/25716982

#SPJ9

A scaled-down version of parallelogram is parallelogram be. What does w equal for U

X has a value of 4.

Line BC and line AD are parallel in the picture that was submitted, and segment 15 is the midpoint.

The Midsegment TrapezoidTheorem states that a line going through the midpoint of a trapezoid leg, parallel to both bases, will also go through the midpoint of the other leg

The formula for calculating a trapezoid's midsegment is as follows:

As a result, x has a value of 4.

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

To learn more about trapezoid,

Visit : https://brainly.com/question/20374834

#SPJ9

Systems of equation that have the same solution are called equivalent systems.

Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.

In contrast, we can be sure that two systems of equations are not equivalent if we know that a solution of the one is not a solution of the other.

Note: This idea of equivalent systems of equations pops up again in linear algebra. However, the examples and explanations in this article are geared to a high school algebra 1 class.

Example 1

We're given two systems of equations and asked if they're equivalent.

System A

−12x+9y=7

9x−12y=6

​

system B

−12x+9y=7

3x−4y=2

​

If we multiply the second equation in System B by 3, we get:

3x−4y=2

3(3x−4y)= 3(2)

9x−12y=6

​

Replacing the second equation of System B with this new equation, we get an equivalent system:

−12x+9y=7

9x−12y=6

​

Whoa! Look at that! This system is the same as System A, which means system A is equivalent to System B

To know more about Equations

visit-:https://brainly.com/question/10413253

SPJ9

10 m/s can be expressed as 36km/h.

Here, we are given an expression for speed, that is: 10 meter per second.

Now, as per the rules of mathematics,

1 kilometer = 1000 meters

⇒ 1 meter = 1/1000 kilometers

or 1 meter = 0.001 kilometers

and also, 1 hour = 60 mins

and 1 min = 60 seconds

⇒ 60 mins = 60 × 60 seconds

= 3600 seconds

Thus, 1 hour = 60 mins = 3600 seconds

⇒ 1 second = 1/3600 hours

Now, we need to convert meter per second into kilometer per hour,

1 meter/ 1 second =  [tex]\frac{0.001}{\frac{1}{3600} }[/tex]

= (0.001 × 3600)/ 1

= 3.6

This 1 meter per second = 3.6 kilometer per hour

⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour

Thus, 10 m/s is 36km/h.

Learn more about conversion factors here-

https://brainly.com/question/340715

#SPJ9

Reason:

Odd degree polynomials do not have an absolute max nor absolute min. The curve stretches forever upward and downward. The range is the set of all real numbers.

Even degree polynomials on the other hand do have a highest point or lowest point, depending on the leading coefficient. If the leading coefficient is negative, then the curve has a highest point. If the leading coefficient is positive, then the curve has a lowest point.

Example: y = x^3 does not have an absolute max, but y = -x^2 does.

The largest possible value of n is approximately equal to 331.

In this problem we find a factorial number as the result of a power with a base of 3. First, we need to estimate the maximum possible value of n (as a real number) by using logarithm properties:

3ⁿ = 100!

3ⁿ = 1 · 2 · 3 · ... · 99 · 100

㏒₃ 3ⁿ = ㏒₃ (1 · 2 · 3 · ... · 99 · 100)

n · ㏒₃ 3 = ㏒₃ 1 + ㏒₃ 2 + ㏒₃ 3 + ... + ㏒₃ 99 + ㏒₃ 100

n ≈ 331.090

Second, find the maximum possible integer n related to 100! is found by truncating the result found in the previous section. Hence, the largest possible value of n is approximately equal to 331.

To learn more on factorials: https://brainly.com/question/16674303

#SPJ1

If the midpoint of segment lm where j(5, -1) and m(0, 6), then the coordinates of end point l is (10,-8)..

Midpoint:

Midpoint of a line segment is the point that is halfway between the endpoints of the line segment.

The formula for the midpoint is,

[tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

where,

[tex](x_m,y_m)[/tex] = coordinates of the midpoint

(x₁, y₁)   = coordinates of the first point

(x₂, y₂) = coordinates of the second point

Given,

Midpoint = j = (5,-1)

Second point =  m = (0,6)

Now, we have to find the first midpoint l.

Let (x,y) be the coordinates of l.

Then apply the values on the formula,

Then we get,

[tex](5,-1)=(\frac{x+0}{2},\frac{y+6}{2})[/tex]

Compare the values in order to find the coordinates,

=> 5 = (x + 0) / 2

=> 5 x 2 = x + 0

=> 10 = x

Similarly,

=> -1 = (y + 6) / 2

=> -1 x 2 = y + 6

=> -2 = y + 6

=> -2 - 6 = y

=> y = -8

Therefore, the coordinates of l is (10,-8).

To know more about Midpoint here.

https://brainly.com/question/28224145

#SPJ4

Answer:

electricity produced will be 3067202 watt

Step-by-step explanation:

solar panels yields 16.22 Watts per square feet

area of field= 305*620   [area=length*breath]

=189100

electricity produced will be

189100*16.22

=3067202 watt

learn more from here

https://brainly.com/question/28514722

#SPJ9

The value of P(t) is  p(t) = -70 cos(10xπ t) + 165.

Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).

range of pressure =  low of 90 to a high of 230

As, Pressure oscillating ten times every hour. So period n = .0.2 min.

Now, P = f(t) = Acos(Bt) + D

Amplitude = (HP - LP / 2

= (230- 90) / 2

= 140/ 2

= 70

Period B = 2xpi / 0.2 = 10xπ

and, D= (Ph + Pl) / 2

= (230+ 90) / 2

= 330/ 2

= 165

Hence, p(t) = -70 cos(10xπ t) + 165.

Learn more about this  pressure here:

https://brainly.com/question/9104240

#SPJ4

Answer:

Step-by-step explanation:

3z2 − 4z + 103z2 −4z + 10

3z2  + − 4z+ 103z2 +− 4z + 10

3z2  +− 4z+ 103z2 + − 4z + 10

( 3z2  + 103z2 ) + ( −4z+−4z ) + ( 10 )

106z2 + − 8z + 10

Answer:

[tex]-5.5 = \frac{-11}{2}[/tex]

[tex]-4.8 = \frac{-24}{5}[/tex]

Step-by-step explanation:

Postać ułamka zwykłego oznacza postać [tex]\frac{licznik}{mianownik}[/tex].

Zaczynamy od zauważenia, że [tex]-5.5 = -55/10 = -\frac{55}{10} = -\frac{11}{2} = \frac{-11}{2}[/tex]

-4.8 robimy analogicznie, tylko skracamy przez 2 a nie przez 5.

Po kolejne pytania po polsku należy się udać na brainly.pl