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Salsk061 [2.6K]

3 years ago

10

wo race car drivers Ryan and Philip were taking laps around the race track. It was noted that Ryan drove 52.5 miles in the same

time that Philip drove 37.5 miles. If Ryan's average speed was 30 mph more than that of Phili

1 answer:

dexar [7]3 years ago

7 0

Answer:bvhj

ll

Step-by-step explanation:

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rosijanka [135]

<u>Answer:</u>

$6^{10}$

<u>Step-by-step explanation:</u>

We can use the following rule of surds to solve the problem:

$\boxed{a^m \times a^n = a^{m + n}}$ ,

which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.

Applying this rule:

$6^2 \times 6^8$

⇒ $6^{2 + 8}$

⇒ $\bf 6^{10}$

8 0

1 year ago

A pair of jeans that originally costs $42 is 25% off.Find the sale price.ASAP PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Anon25 [30]

Original Price = $42
Discount = 25% ---------> 25% is discount because it says 25% <span><u />off!!!</span>
Now,
Sale price = original price - discount % of original price
= 42 - 25% of 42
= 42 - (25/100) * 42
= 42 - 0.25 * 42
= 42 - 10.5
= 31.5

So, the sale price is $31.5

6 0

3 years ago

24 feet in 10 seconds

shtirl [24]

Answer:Divide your speed in feet per minute by 60

Step-by-step explanation:

6 0

1 year ago

The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form

azamat

Answer:

$\large \boxed{y = (x - 5)^{2} + 2 }$

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

$\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}$ The figure below shows that your parabola has its vertex at (5,2).

4 0

3 years ago

Help fast!! please.

alexira [117]

Answer:

Mean = 10

Variance = 30.89

Standard Deviation = 5.56

Step-by-step explanation:

Find the Mean, Variance and Standard deviation

6, 14, 8, 2, 11, 7, 12, 4, 18, 18

Step 1

We rearrange the data and find the Mean

2, 4, 6, 7, 8, 11, 12, 14, 18, 18

Mean = Sum of values/Number of values

= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10

= 100/10

= 10

Step 2

We find the variance of this sample days ma

Variance = (x - Mean)²/n - 1

n = 10

Hence,

=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1

= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9

= 278/9

= 30.88888889

Approximately = 30.89

Step 3

Standard Deviation = √Variance

= √30.89

= 5.5578772926

Approximately = 5.56

6 0

3 years ago