A runner completed a 26.2 mile marathon in 5 hours. a) What is her speed in miles per hour? b) What is her speed in feet per second? Note that there are 5280 feet in 1 mile.

Step-by-step explanation:

We need to convert 1.5 × 10⁸ from scientific notation to standard form.

The scientific notation is 1.5 × 10⁸

Out of the given options, we need to choose the correct one.

10⁸ means 100000000

⇒ [tex]1.5\times 10^8=1.5\times 100000000[/tex]

or

[tex]1.5\times 100000000=\dfrac{15}{10}\times 100000000[/tex]

One of the zero from denominator and numerator will cancel down.

[tex]\dfrac{15}{10}\times 100000000=15\times 10000000\\\\=150000000[/tex]

So, the correct option is b.

Answer:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Step-by-step explanation:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Answer:

C  4,3  A 2,-5   B 1,4

Step-by-step explanation:

Answers:

Slope = 3/4

y intercept = -1/2

================================================

Explanation:

The form y = mx+b is known as slope intercept form

m is the slope and b is the y intercept

Comparing y = (3/4)x - 1/2 to y = mx+b, we see that

m = 3/4

b = -1/2

Answer:

9 - b = ? 9 - 8 = 1 So, your answer is 1.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

3x+2=17

17-2=3x

15=3x

3*5=14

15=15

x=15

Answer:

x

Step-by-step explanation:

If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'

The composition of any function, f(x), and its inverse f'(x) is x.

The composition of a function and its inverse are two mathematical concepts with practical applicability.

The objective of these two concepts is to increase the understanding of functions and all the terms related to them.

Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.

The composition of function is defined when the result of a function is obtained by applying another function.

The independent variable is another function.

Hence, The composition of any function, f(x), and its inverse f'(x) is x.

To know more about the Inverse function click the link given below.

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Answer:

A

Step-by-step explanation:

So we want to find the tangent of Angle QSR.

First, note that Angle QSR and Angle TSQ forms a supplementary angle. Thus:

[tex]QSR+TSQ=180[/tex]

We already know that TSQ is 150, thus:

[tex]QSR+150=180[/tex]

Subtract:

[tex]QSR=30[/tex]

So, QSR is 30 degrees.

Find tangent of 30 degrees.

[tex]\tan(30)[/tex]

1) If you know the unit circle:

At 30 degrees, our coordinate is:

[tex](\frac{\sqrt3}{2},\frac{1}{2}})[/tex]

So, our answer would be:

[tex]\tan(30)=\frac{\frac{1}{2}}{\frac{\sqrt3}{2}}[/tex]

Simplify:

[tex]\tan(30)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

2) If you don't know the unit circle.

Recall that 30-60-90 is a special right triangle.

The side opposite to 30 is x, the side adjacent to 30 is x√3, and the hypotenuse is 2x.

Therefore, tangent of 30 is opposite over adjacent. Thus:

[tex]\tan(30)=opp/adj[/tex]

Substitute x for opposite and x√3 for adjacent. Thus:

[tex]\tan(30)=\frac{x}{x\sqrt3}[/tex]

Remove the x:

[tex]\tan(30)=\frac{1}{\sqrt3}[/tex]

Multiply both layers by √3. So:

[tex]\tan(30)=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}[/tex]

Our answer is A :)

Answer:

1.   The star's mass is 1.3 x 10^32 kg.

2.  The star's mass is 1.3 x 10^32 kg.

Step-by-step explanation:

1.

Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents.

let The sun's mass is 2.0×10^30 kg.

and the coefficient = 1.5x10^-2

divide the coefficients

2.0 ÷ 1.5 =  1.3  

Then subtract the exponents.

= 10^30 - 10^-2

= 30 - (-2)

= 32

Combine the results of the two operations

= 1.3 and x 10^32

= 1.3 x 10^32

therefore,

The star's mass is 1.3 x 10^32 kg

===============================

2.

given:

The sun's mass is 2.0×10^30 kg.

mass of a star = sun's mass divided by 1.5×10^-2 kg

find:

Express the answer in Scientific notation.

mass of a star = 2.0×10^30 kg

                           1.5×10^-2 kg

mass of a star = 1.3 X 10^32 kg

therefore,

The star's mass is 1.3 x 10^32 kg

===============================

Answer:

1.   The star's mass is 1.3 x 10^32 kg.

2.  The star's mass is 1.3 x 10^32 kg.

Step-by-step explanation:

i got them right on my quiz

It is not a function if there is no pattern to the numbers

Answer:

n+8

Step-by-step explanation:

8n=8(n)

n-8=n-8 (Since there is no commutative property in subtraction)

n=8 means 8=n

n+8=8+n

Because of commutative property in addition.

Hope this helps ;) ❤❤❤

Answer:

XY=2

dividing both sides with y

X=2/y

(to find value of X, y should be transpose to the right or remove)

when X=o.5

y=2/0.5

y=4

so value of X is 0.5 when y=4

Answer:

Hey there!

If the midpoint is (-5, 18) and the endpoint is (3, 13) the other endpoint is (-13, 23)

Let me know if this helps :)

Answer:

  RS = 16

Step-by-step explanation:

The segment addition theorem tells you ...

  QR +RS = QS

  4 + (5x-9) = 4x

  x = 5 . . . . . . . . . . . add 5-4x

Then the length of RS is ...

  RS = 5(5) -9

  RS = 16

Answer:

b = 5/4  ( or  = 1.25)

Step-by-step explanation:

2b + (1/2) =3    (subtract 1/2 from each side

2b = 3 - (1/2)

2b = 2 1/2   (express 2 1/2 as an improper fraction = 5/2)

2b = 5/2     (divide both sdes by 2)

b = (5/2) / 2

b = 5/4

Answer:

(A) y - x

Step-by-step explanation:

Finding a:

Correct choice is (A)

Answer:

33

Step-by-step explanation:

Start off by subtracting how much she needs, with how much she has. 225 - 18.75 = 206.25. Then you divide by how much she makes an hour, 6.25. Dividing 206.25 by 6.25 will give you 33.

Answer:

33

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You are correct

Answer:

84 MB

Step-by-step explanation:

60% of 140 MB is:

Boris has downloaded 84 MB in 2 minutes

Answer:

Its A.

Step-by-step explanation:

hope this helps.

The expression which is represented by the graph will be -6 -(-1) so the correct option will be (A).

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In given figure the, one box represents -1

Now there are total 6 box = -1 times 6 = -6

Now the last box is removed it means it should be subtracted from all the box

-6 - ( One box) = -6 -(-1) hence option A will be correct.

For more about the equation

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Answer:

Answer is 10^11 is the smallest power that would exceed 999,999,999,991

Answer:

10 to the power of 13 or 10^13

Answer:

25 mph

Step-by-step explanation:

Because you know mi/h means the miles PER hours, and we know that when we see the word "per" we're dealing with a rate. What we have to do here, is multiply 10(mph) is like the average, or limit. So if I'm running 2.5 miles I multiply 10 x 2.5 to get 25.

Or just move the decimal point one space because of the zero in 10.

Hope this helps, and have a great day!

If i run at an average speed of 10 mi/h, the time needed for me  to run 2.5 miles is, 0.25 hour

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance =  Time × Speed

Given that,

An average speed  = 10 mi/h,

If distance travelled = 2.5 miles

Time needed = ?

Time needed =  Distance/Speed

                       =  2.5 / 10

                       =  0.25

Hence, The time needed is 0.25 hour

To know more about time, distance & speed check:

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Answer:

Step-by-step explanation:

A graph that represents the linear equation y = 1/6(x) - 7 is shown in the image below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Since the given linear equation y = 1/6(x) - 7 is in slope-intercept form, we would start by plotting its y-intercept on a graph;

y = 1/6(x) - 7

y = 1/6(0) - 7

y = -7.

Lastly, we would use an online graphing calculator to plot the given linear equation for the values in its domain as shown in the graph attached below.

In conclusion, the slope of this linear equation y = 1/6(x) - 7 is equal to  1/6 and it does not represent a proportional relationship.

Read more on a graph here: brainly.com/question/4546414

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Answer:

_____________

The integer is 0

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

[tex]\angle EFG=\angle EFH+\angle HFG[/tex]

[tex]18x+11=(5x+1)+(62)[/tex]

[tex]18x+11=5x+63[/tex]

Isolate variable terms.

[tex]18x-5x=63-11[/tex]

[tex]13x=52[/tex]

Divide both sides by 13.

[tex]x=\dfrac{52}{13}[/tex]

[tex]x=4[/tex]

The value of x is 4.

[tex]\angle EFH=(5x+1)^\circ[/tex]

[tex]\angle EFH=(5(4)+1)^\circ[/tex]

[tex]\angle EFH=(20+1)^\circ[/tex]

[tex]\angle EFH=21^\circ[/tex]

Therefore, the measure of ∠EFH is 21°.

Answer:

sin148 and cos58

Step-by-step explanation:

sin32=0.530

sin148=0.530

cos58=0.530

Hope it is helpful for you

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Answer:

Step-by-step explanation:

8gh = E

g = E/8h

Answer:

C. Point P

Step-by-step explanation:

sqrt(92) = 9.59

The point closest to 9.59 is point P.