Write 30 000 000 in standard form.​

A linear function that describes the cost of a trip, c, in terms of the number of miles, n will be "c=0.60n+0.67n" and cost per mile is $0.6 and $0.67 and the flat fee is $50.

Once you are aware of your mileage and total expenses, calculating cost per mile becomes a straightforward equation. Your cost per mile is calculated by dividing your total expenses by the total number of miles you have driven. Your expenses per mile are influenced by your variable and fixed costs, so you should probably pay closer attention to how much you're shelling out for each mile your drivers cover. You can better understand your primary costs and produce more accurate bids for new contracts by knowing your expenses at this specific level.

Here,

cost per mile,

20/30=$0.67/mile

30/50=$0.60/mile

c=0.60n+0.67n

flat fee,

=$30+$20

=$50

The cost per mile is $0.6 and $0.67, and the flat rate is $50. A linear function that expresses the cost of a trip, c, in terms of the number of miles, n, will be "c=0.60n+0.67n".

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The values of the interior angles, ( Angle A, Angle B and Angle C) of the triangles are 48°, 88° and 44° respectively.

Interior angle is the inner of the two angles formed where two sides of a polygon come together.

To find the measure of each interior angle of the triangle in the diagram, first, we need to find the value of x.

Recall that: The sum of the interior angles of a triangle is equal to 180°.

Using the formula,

From the triangle,

Substitute these values into equation 1

Solve for x

Therefore,

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The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 0.

What is a standard deviation?

Data dispersion in regard to the mean is quantified by a standard deviation. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Here, we have

µ = 62 , σ = 5

P ( X < 66 )

By applying the standard deviation formula, we get

Z = ( X - µ ) / (σ/√(n)

Z = ( 66 - 62 ) / ( 5 / √50 )

Z = 5.6569

P (  ( X - µ ) / ( σ/√(n)) < ( 66 - 62 ) / ( 5 / √(50) )

P ( X < 66 ) =  P ( Z < 5.66 )

P ( X < 66 ) = 1

P ( X > 66 )  = 1 - P ( X < 66 )

By applying the standard deviation formula, we get

Z = ( X - µ ) / ( σ / √(n))

Z = ( 66 - 62 ) / ( 5 / √ ( 50 ) )

Z = 5.6569

P (  ( X - µ ) / ( σ / √ (n)) > ( 66 - 62 ) / ( 5 / √(50) )

P ( Z > 5.66 )

P ( X > 66 )  = 1 - P ( Z < 5.66 )

P ( X> 66 )  = 1 - 1

P ( X> 66 )  =  0

Hence, the probability of a sample of 50 cars recording an average speed of 66 mph or higher is 0.

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Answer:

C. Function, there is a unique x-value for each y-value

Answer:

b=98 and a=82

Step-by-step explanation:

b and 98 are corrisponding angles which means that they are both 98

a+b=180 because it is a straight line

a+98=180 subtract 98 from both sides a d you get a=82

Answer:

2.12

Step-by-step explanation:

Discussion

The answer is given in the graph I've made for you. The distance you want is a contained in a line that is perpendicular to the given line and goes through (2,-1). If I have not interpreted this correctly please leave a comment under the question and I will edit it. I have ignored the 4.

The steps needed are

Givens

line y = -x + 4

point (2,-1)

Solution

The slope of the second line is

m1 * m2 = - 1

m1=  -1                From the given equation

m2 = ?

-1 * m2 = - 1

m2 = 1

Find the equation of the new line

x = 2

y = - 1 from the given point

-1 = 2 + b             Subtract 2 from both sides

-1 - 2 = 2-2 + b    Combine

-3 = b

Equation of the new line

y = x - 3

Intersection point of the two lines

y = -x + 4

y = x - 3              Add The xs cancel

2y = 1                  Divide by 2

y = 1/2

1/2 = -x + 4          Subtract 4 from both sides

1/2 - 4 = -x + 4 -4 Combine        

-3 1/2  = -x            Multiply both sides by - 1

3 1/2 = x

So the intersection point is (3.5, 0.5)

Find the distance between (2,-1) and (3.5,0.5)

d = sqrt( (2 - 3.5)^2 + (-1 - 0.5)^2 )

d = sqrt( (-1.5)^2 + (-1.5)^2 )

d = ( 1..5 * sqrt(2) )

d = 2.12

The magnitude of earthquake on seismograph will be 3 .

What is seismograph?

A seismograph is a device that measures and records crucial data concerning earthquakes. Electromagnetic sensors in seismographs convert ground vibrations into electrical voltages. Seismograms are records that a seismograph generates and displays .

Main Body:

formula given : M = ㏒₁₀T           where T =1000

substituting the value of T in the formula

M = ㏒₁₀ 1000

M = ㏒₁₀10³

M = 3㏒₁₀           (㏒₁₀Xᵃ = a㏒₁₀)

M = 3                  (㏒₁₀10 =1)

Therefore the magnitude of the earthquake is 3.

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Answer:

42/4/5 first you divide 72➗ 3 then you get 24 then see the picture is you

Answer:

17 7/15

Step-by-step explanation:

Rewrite:

9 + 4/5 + 7 + 2/3

Add whole numbers:

9 + 7 = 16

Add fractions:

4/5 + 2/3 --> 12/15 + 10/15 = 22/15

Simplify:

22/15 --> 1 7/15

Add all components:

16 + 1 7/15 = 17 7/15

Answer:

x < -9

Step-by-step explanation:

2x + 4 < -14

Solve for "x"

Subtract 4 from both sides

2x + 4 < -14

2x + 4 - 4 < -14 - 4

Simplify

Subtract all the numbers

2x + 4 - 4 < -14 - 4

2x < -14 - 4

2x < -18

Divide both sides by the same factor

2x < -18

[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]

Simplify

Cancel the terms that are in both numerator and denominator

[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]

x < [tex]\frac{-18}{2}[/tex]

Divide

[tex]x < \frac{-18}{2}\\ x < -9[/tex]

The answer is [tex]x < -9[/tex]

The equivalent expression of the expression 54x + 18 will be 18(3x + 1). Then the correct option is E.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 54x + 18

Simplify the expression, then we have

⇒ 54x + 18

⇒ 18(3x + 1)

The equivalent expression of the expression 54x + 18 will be 18(3x + 1). Then the correct option is E.

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The complete question is given below.

Drag each expression to show whether it is equivalent to 54x + 18, 18(3x – 1), or (6 • 9x) + (6 • 1).

expressions: A-54x B-(6 • 9x) + (6 • 3) C-54x + 6 D-3(18x+2) E-18(3x+1) F-(9*6x)-(9*2)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok:

1. Caculate all of the two triangles' angles

First triangle on the left!

50+90= 140+40= 180degrees

So: Angles for first one are 50,90,40

Second Triangle on right

51+90= 141+39= 180degrees

So: Angles for second one are 51,90, 39

2. Subtract the corners added together from 180 degrees

40+39= 79 degrees

180-79=101 degrees

3. Answer: Choice B or 101 degrees!

Answer: The answer is 8

Step-by-step explanation: 16 tablespoon is 1 cup now find half of 16. Half of 16 is 8. So 8 tablespoon should be equal 1/2 cup

Answer:

Don't know if i did it right but i think it is:

a=14

b=6

c=5

The rate of change of volume is 418.6  inch³/s .

Rate of increase of radius with time is ( dr/dt ) = 5

rate of decrease of height with time is (dh/dt ) = -3

volume of a cone is given by (V) =  [tex]\frac{1}{3} \pi r^{2}h[/tex]

Now the rate of change of volume  with respect to time is given by dV/dt

∴ dV/dt = d( [tex]\frac{1}{3} \pi r^{2}h[/tex]) / dt

dV/dt =  [tex]\frac{1}{3} \pi (2rh\frac{dr}{dt} + r^{2}\frac{dh}{dt} )[/tex]

value of radius and height when volume is changing are :

r = 20 inches

h = 40 inches

dV/dt = [tex]\frac{1}{3} \pi ([/tex] 2×20×40 ×5 - [tex]20^{2}[/tex]×3 )

dV/dt = [tex]\frac{1}{3} \pi[/tex](1600 - 1200)

dV/dt = (400/3) 3.14

dV/dt = 418.66 inch³/s

So the rate of change of the volume is 418.66 inch³/s.

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The statement that is logically equivalent to the following conditional statement is " If it is a hexagon, then it does not have exactly four sides."

What is a regular hexagon?

It is a regular hexagon when the lengths of all the sides and the measures of all the angles are equal. In a regular hexagon, each inside angle is 120 degrees. The characteristics of a regular hexagon. The lengths of each side are equal.

Here, we let

P = it has exactly four sides.

Q = it is not an hexagon.

The negation is like this;

If it is a hexagon, then it does not have exactly four sides.

Thus, we concluded that “it is a hexagon” is your hypothesis (p) and “it has exactly 6 congruent sides” is your conclusion (q).

Hence, the statement that is logically equivalent to the following conditional statement is " If it is a hexagon, then it does not have exactly four sides."

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Answer:

B. 35

Step-by-step explanation:

Because lines m and n are parallel, we know that x+(4x+5)=180.

So all you have to do is simplify.

x+(4x+5)=180

5x+5=180

5x=175

x=35

So the only possible value of x is 35

The width of pool deck is 7 ft and new dimensions of pool and deck are 21 ft and 35 ft .

In the given question we have,

Area of whole background ( pool + deck) = 1176 ft²------(1)

Area is a two dimensions quantity . so, we work here in 2-D.

length of pool = 28 ft , width of pool= 14 ft

let the width of deck be x ft . Now, the new dimensions are following

length of pool and deck = 28 + x + x = (28+2x ) ft

width of pool and deck = 14 + x + x = (14+ 2x) ft

here, 2x include in lenth and width for surronding deck.

total area of pool and deck ( backyard ) = lenth × width = 1176 ft² ( from (1) )

(28+2x) ( 14+2x) = 1176 ----(2)

Now, we shall solve above equation (2) and find out value of x

28×14 + 56x + 28x + 4x^2 = 1176

=> 4x²+ 84x + 392 - 1176 = 0

=> 4x² + 84x - 784=0 => x² + 21x - 196 = 0

=> x²+ 28x - 7x - 196 = 0 => x(x+ 28) - 7(x+28)=0

=> (x+28) (x-7) = 0

either x + 28= 0 or x - 7 = 0 =>either x= -28 or x= 7

but width can't be negative value so, discard

x= -28.

Hence, the width of pool deck is 7 ft.

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The absolute value equation representing all numbers x whose distance from 5 is equal to 5 units is written as:

|x - 5| = 5

An absolute value equation where the variable is x can be written as:

|x - a| = b

This means that the distance between x and a is equal to b.

So if we want to write an equation where the distance between x and 5 is equal to 5, then we can replace:

a = 5

b = 5

And the absolute value equation will be:

|x - 5| = 5

This is what we wanted to get.

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The percentage increase is 61.36%. If the airline charges an additional $50 baggage fee, the new percentage increase will be 45.68%.

A percentage increase denotes how much a percentage has risen over time. To get at this figure, discover the difference between the original and final values, then deduct it to get the actual sum of the decrease.

The idea of Percentage increase is simply the amount of increase from the original(initial) to the final figure expressed in terms of 100 parts of the original. E.g.  A 10% increase implies that if the original value is divided into 100 parts, the value has increased by an extra 10 parts. So, if the initial value rose by 16%, the value would rise by 16 for every 100 units, and so on.

The formula for calculating the percentage increase can be expressed as:

[tex]\%\ increase= \frac{new \ value - original \ value}{original \ value}\times 100[/tex]

[tex]\%\ increase= \frac{355- 220}{220}\times 100[/tex]

[tex]\%\ increase= \frac{135}{220}\times 100[/tex]

[tex]\mathbf{=61.36\%}[/tex]

[tex]New \ \%\ increase= \frac{new \ value - original \ value}{original \ value}\times 100[/tex]

[tex]New \ \%\ increase= \frac{405- 220}{405}\times 100[/tex]

[tex]New \ \%\ increase= \frac{185}{405}\times 100[/tex]

[tex]New \ \%\ increase=\mathbf{45.68\%}[/tex]

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Answer: A. [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

To find the slope we must find the change in y over the change in x. Δ

Or rise over run.  [tex]\frac{rise}{run}[/tex]

In the graph, we have two "good" points. (0, -6) and (4,0)

So for Δy 0 to -6 = -6

So -6 goes on top  [tex]\frac{-6}{x}[/tex]

Now Δx goes from 4 to 0 so the change would be -4.

So now it becomes [tex]\frac{-6}{-4}[/tex]

Since there are two negatives it becomes a positive. [tex]\frac{6}{4}[/tex] Or simply put, [tex]\frac{3}{2}[/tex]

Answer:

to find horizontal asymptotes, we simply evaluate the limit of the function as it approaches infinity, and again as it approaches negative infinity.

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope=change in y over change in x

6-2=4

6--2=6+2=8

-4/-8=1/2

Answer:91.44  rounded is 91

Step-by-step explanation:

Answer:

The error made is that the ASA theorem cannot be used here because the congruent side is not directly in between the two congruent angles in either triangle. Really, the information we are given is Angle-Side-Side, not Angle-Side-Angle, and this is not a congruence theorem unless the triangles given are right triangles.

Answer:

negative

Step-by-step explanation: