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Answer:

Step-by-step explanation:

this is the Answer:

xy/180 km

Step-by-step explanation:

Mathematically, we have it that;

Speed = distance/ time

If he cycles x km in 3 hours

We know that ; 60 minutes = 1 hr

3 hours = 3 * 60 = 180 minutes

So the speed in km per minutes will be;

x km/180 minutes = x/180 km/minute

Recall,

Distance = speed * time

= x/180 * y = xy/180 km

HOPE THIS HELP !!!!!!!!!!!!!!!!!!!!!!!! :D

Answer:

Original Price = Sale Price / ( 1 - Percent Off / 100 )

                       = 57.75 / (1 - 30/100)

                       = 57.75 / (1 - 0.3)

                       = 57.75 / 0.7

                       = $82.50

Original price = $82.50

The number of red sectors is given as 2.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The total number of sectors on the fortune wheel is 5.

And, the probability of getting red colour is 40%.

Which is equivalent to 40/100 = 0.4.

The probability of getting red is given as,

P(red) = Number of red sectors ÷ Total number of sectors

=> 0.4 = Number of red sectors  ÷ 5

=>  Number of red sectors = 5 × 0.4

                                              = 2

Hence, the number of red sectors are 2.

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Answer: Someone already answered this but he said:

True, the product of three positive integers is positive.

What is a positive integer?

A positive integer is a non-negative whole number which belong to real numbers.

Examples of positive integer

1, 2, 3, 4, 5, 6, etc

Product of three positive integers

1 x 2 x 3 = 6

Thus, we can conclude that the product of three positive integers is positive.

The person is this guy: brainly.com/question/1367050

Answer: True

Step-by-step explanation:

If all the integers are positive, the only answer you get when multiplying them all is positive. If one of the three integers is negative, then the product is negative because if you have 2*3*(-1), the answer would be -6. But if you have 2*3*1, the answer is 6. If two of the three integers are negative, then the product is positive given the third integer is positive because a negative times a negative is a positive.  

Purchase consideration less fair value of net assets is goodwill (Purchase Consideration-Fair Value of Net Assets) $690,000,000

What does "goodwill" mean?

Goodwill cannot be purchased or sold on its own; rather, it is a premium over fair value that is paid during a transaction. Other intangible assets include things like licenses or patents that are independent purchases or sales. While most intangibles have a set useful life, goodwill has an unlimited lifespan.

Estimating goodwill

The extra payment made as purchase consideration over the acquiree's net assets' fair market value is referred to as goodwill.

The calculation looks like this:

(Millions of Dollars)

Cost of the purchase: $ 900,000,000

Fair value of net assets is less.

True Cost of the Assets

$15,000,000 in supplies

$200,000,000 in intangible assets

$20,000,000 for property, plant, and equipment

Total $235,000,000

True Cost of Liabilities

$5,000,000 in current liabilities

$20,000,000 in Notes Payable

Total $25,000,000

Goodwill (Purchase Consideration-Fair Value of Net Assets) (Purchase Consideration-Fair Value of Net Assets) $690,000,000

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To find the missing values for the exponential function represented by the table above.

An exponential function is in general form, that is

[tex]f(x) = y = a(b)^{x}[/tex]

Now, given points are (-2,8), (-1,12), (0,18)

First let us consider

f(x) = 8 at x = -2

[tex]f(x) = a(b)^{x}[/tex]

[tex]f(-2) = a(b)^{-2}[/tex] = 8

[tex]\frac{a}{b^{2} } = 8[/tex]

So, [tex]a = 8b^{2}[/tex]  lets consider this as equation 1

second let us consider

f(x) = 12 at x = -1

[tex]f(-1) = a(b)^{-1} = 12[/tex]

[tex]\frac{a}{b} = 12[/tex]

a = 12b  lets consider this as equation 2

From equations 1 & 2, we have

[tex]8b^{2} = 12b[/tex]

[tex]8b^{2}-12b = 0[/tex]

4b(2b-3) = 0

b = 0 or [tex]\frac{3}{2}[/tex]

This is not possible otherwise function will not remain exponential.

[tex]b = \frac{3}{2} ,[/tex] so putting b in equation 1

we have [tex]a = 12b = 12x\frac{3}{2} = 18[/tex]

therefore a = 18

therefore [tex]f^{n} = f(x) = 18(\frac{3}{2})^{x}[/tex]

1. [tex]f(1) = 18(\frac{3}{2})^{1} = 27\\[/tex]

f(1) = 27

2. [tex]f(2) = 18(\frac{3}{2})^{2} = \frac{81}{2} = 40.5[/tex]

f(2) = 40.5

Hence the answer is the missing values is 27, 40.5

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The inverse function of f(x) = 3x-4 when x = -1 will be 1.

According to the question,

We have the following function:

f(x) = 3x-4

Now, to find its inverse we will convert this function into a linear equation:

y = 3x-4

Now, we will change variable from x to y and y to x:

x = 3y-4

Now, we have to find the value of y, which will be the inverse of the given function:

Moving 4 from the right hand side to the left hand side will result in the change of signs:

x+4 = 3y

3y = x+4

Dividing by 3 on both the sides:

y = (x+4)/3

Now, we have:

[tex]f^{-1} (x)[/tex] = (x+4)/3

Putting the value of x = -1:

(-1+4)/3

3/3

1

Hence, the inverse function of f(x) = 3x-4 when x = -1 will be 1.

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Answer:

Step-by-step explanation:

I believe the tax would be $ 12,150

A table represents a relation that is also a function if it shows that every input value is assigned to exactly one output value

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Answer:

43.33%

Step-by-step explanation:

x : 100 = 520 : 1200

x = (520 * 100)/1200

x = 520/12

x = 43.333333%

If the margin of error for the electoral poll is 3%, then candidate A has an advantage over candidate B of between 2 and 8 points.

Your results will deviate by how many percentage points from the actual population value, according to your margin of error.

It is considered as a very small percentage that is allowed for error in calculations.

As the question stated-

This suggests that if the margin of error for the electoral survey is 3%, candidate A is leading of candidate B by 2 to 3 percentage points.

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The complete question is-

If a national survey finds candidate A leads candidate B by 5 percent in the upcoming election and the margin of error in the survey is 3 percent, it means that-

If a triangle whose sides length measures are consecutive integers, then the smallest possible perimeter is 9 units

If a, b and c are the sides of the triangle

Then it will be

a + b > c

b + c > a

c + a > b

Given that the side length of the measures are consecutive integer

Smallest consecutive integer is 1, 2 and 3

But

1 +2 > 3

3 = 3

Therefore it will not be the sides of the triangle

Next smallest consecutive integers are 2, 3 and 4

Then,

2+3 > 4

5 > 4

3+4 > 2

7 > 2

2+4 > 3

6 > 3

This will be the sides of the triangle

The perimeter of the triangle is the sum of sides of the triangle

The perimeter = 2 + 3 + 4

= 9 units

Hence, if a triangle whose sides length measures are consecutive integers, then the smallest possible perimeter is 9 units

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Step-by-step explanation:

DE = 61.

great.

both sub-segments together must be as long as the whole line.

so,

(x - 4) + (2x + 5) = DE = 61

x - 4 + 2x + 5 = 61

3x + 1 = 61

3x = 60

x = 60/3 = 20

so,

DC = x - 4 = 20 - 4 = 16

The endpoints of the image of AB after a reflection in the line y = z are A'(2, -3) and B'(5, 2).

What is endpoints of the graph?

On a graph, an endpoint is the place where a figure comes to an end. A genuine line has no terminal because it goes on indefinitely in both directions. A ray is a figure that resembles a line and only extends in one direction infinitum. It is one type of line. The endpoint of a ray is on the side that is not extending.

(x, y) → (x, -y), x-coordinate stays as is and y-coordinate changes its sign to opposite.

We have given points:

A(2, 3) and B(5,-2).

The image of AB will have coordinates:

A'(2, -3) and B'(5, 2)

The endpoints of the image of AB after a reflection in the line y = z are A'(2, -3) and B'(5, 2).

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On yesterday beth walked farther. She walk 1/6 farther than the another day.

beth walked on yesterday = 1/2 of a miles

beth walked on today = 1/3 of a miles

on yesterday she walked = 1/2 of a miles = 0.5 miles

on today she walked = 1/3 of a miles = 0.3 miles

This shows she walk farther on yesterday.

and how far is calculated as :

= 1/2 - 1/3

= (3 - 2)/ (2x 3)

= 1/6

she walked 1/6 farther on yesterday than today.

On yesterday beth walked farther. She walk 1/6 farther than the another day.

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Answer:

slope: -18+18/-2+20

slope: 0:

y = -18

Answer:

It's b because 4 is half of 8 and 15 is half of 30.

Step-by-step explanation:

The registrants would be able to see the 6 sightseeing tours in 18 ways.

Here it is given that the convention has organized the 6 sightseeing tours on 3 days each.

This implies that the 6 sightseeing tours are available on all three days.

Hence, the registrants would be able to book the tour on any of the one days.

Hence, on day 1

the registrants will be able to tour in  ways

On day 2

the registrants would again be able to tour in 6 ways,

Similarly on day 3, they will again be able to tour in 6 ways.

Since they need to choose either of the days given, the total number of ways to tour will be

no.of ways for day 1  +  no. of ways for day 2  +  no. of d6ays for day 3

= 6  +  6  +  6

= 18 ways

Hence, they can go on a sightseeing tour in 18 ways.

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The Average Speed of car for the round trip is 346.28 km/ hr.

Average Speed is calculated by dividing the total distance that something has travelled by the total amount of time it took it to travel that distance.

If a  car travels a distance d at rate r₁ and return the same distance at rate r₂, then,

Average Speed =  total distance ÷ total time

                          = 2d ÷ d/r₁ + d/r₂

                          = 2d ÷ r₂d + r₁d / r₁r₂

                          = 2r₁r₂ / r₁ +r₂

∴ x = 2× 3030×4040/ 3030 +4040

     = 2448240 ÷ 707

     = 346.28 km/hr

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Answer:78.

Step-by-step explanation:

In the coordinate plane, line p has slope 13 and y-intercept (0, 2). Line r is the result of dilating line p by a factor of 3 centered at the origin.

Line P

Slope (m) = 13

y intercept is (0,2)

Equation is

y = mx+y

y= 13x+2

Dilated by scale factor of 3 with center at (0,3)

First make the centre at origin (0,0) by shifting the line 3 units downwards.

y = (13x+2)-3

y = 13x-1

In case of dilation, slope remains same only the y-intercept gets multiplied.

New equation is y = 13x-(1x3)

y = 13x-3

Now again take this line 3 units upwards

y = (13x-3)+3

y = 13x+0

Hence line r has slope of 13, y intercept is (0,0)

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The value of x and y are 45 and 48 when the system of inequality are 4x+3y≤36 and x+y≥3.

Given that,

The system of inequality are,

4x+3y≤36 and x+y≥3

We have to find the x and y values of system of inequality.

Take the system of inequality,

4x+3y≤36 ---> equation(1)

x+y≥3 ---> equation(2)

Take the equation(2)

x+y≥3

x≥3-y

Substitute in equation(1).

4x+3y≤36

4x+3y≥-36       (To get the greater than are equal to )

4(3-y)+3y≥-36

12-4y+3y≥-36

12-y≥-36

-y≥-36-12

-y≥-48

y≥48

Substitute in equation(1)

x+y≥3

x+48≥3

x≥3-48

x≥-45

Therefore, The value of x and y are 45 and 48 when the system of inequality are 4x+3y≤36 and x+y≥3.

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Answer:

If the plot point was dilated by a scale factor, it would be multiplying the scale factor with each X and Y. Therefore it would be (-5,-5)

The image of (-1, -1) after the dilation by a scale factor of 5 centered at the origin is (-5, -5).

To find the image of (-1, -1) after a dilation by a scale factor of 5 centered at the origin, we can apply the formula for dilation in the coordinate plane.

The formula for dilation with a scale factor of k centered at the origin is (k * x, k * y), where (x, y) is the original point.

In this case, the original point is (-1, -1), and the scale factor is 5. Applying the dilation formula, we have:

Image = (5 * (-1), 5 * (-1))

= (-5, -5)

This means that the point (-1, -1) is dilated by a factor of 5, and its position is shifted five times farther from the origin in both the x and y directions.

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Answer: 4(x+4)

Step-by-step explanation:

4 can be factored out because 4*x is 4x and 4*4 is 16

a. The the proportion that would be used is: 159/15 = 1272/x

b. See explanation for the cross product below.

c. Approximately 120 home runs will be hit.

A proportion can be defined as an equation that involves comparing two equal ratios that are equivalent to each other or set equal to each other.

a. To write a proportion that defines the situation described above, let x represent the number of runs he will hit in his career.

Therefore, we would have the following proportion:

159:15 = 1272:x

or

159/15 = 1272/x

b. Using the cross product, we can find the value of x as shown below:

159 × x = 1272 × 15

159x = 19,080

Divide both sides by 159

159x//159 = 19,080/159

x = 120

c. The number of runs he will hit in his career is: 120.

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From perpendicular line, we have m1

Knowing m1 * m2 = -1 for perpendicular lines gives us

-1 *m2 = -1

m2 = 1

Using y-b = m(x-a) with the point provided gives

y-1 = 1(x--5)

y = x+6

Therefore (A) is the correct answer

Answer:

Yes

Step-by-step explanation:

the solution would be -5/4

Answer:

yes have on solution

Step-by-step explanation:

Decimal

=-1.25

Fraction

=[tex]-\frac{5}{4}[/tex]

Mixed fraction

=[tex]-1\frac{1}{4}[/tex]