The distance that light travels in 1 second is 186,000 miles. How far will light travel in 1 year? (There are approximately 31,500,00 seconds in 1 year. ) change the numbers to scientific notation and then perform the appropriate operations.

1 1/4 = 5/4

5/4 * 3/4 = 15/16

Answer is D 1 1/4

Final answer:

To find the different ways to roll two factors whose product is greater than 14, we list the different outcomes when rolling a number cube twice.

Explanation:

To find the different ways to roll two factors whose product is greater than 14, we need to consider the possible outcomes when rolling a number cube twice.

First, we look at the factors of 14 and determine that they are 1, 2, 7, and 14.

Now, we can list the different ways to roll two factors:

If Tina rolls a 1 and Bruce rolls a 15 (6 + 9), the product is 15 which is greater than 14.

If Tina rolls a 2 and Bruce rolls a 10 (3 + 7), the product is 20 which is greater than 14.

If Tina rolls a 7 and Bruce rolls a 3, the product is 21 which is greater than 14.

If Tina rolls a 14 and Bruce rolls a 2, the product is 28 which is greater than 14.

Therefore, there are 4 different ways for Tina and Bruce to roll two factors whose product is greater than 14.

Answer:

[tex]\text{The explicit formula is }a_n=7+(n-1)(-4)[/tex]

Option B is correct.    

Step-by-step explanation:

Given the recursive formula of arithmetic sequence

[tex]a_1=7[/tex]

[tex]a_{n}=a_{n-1}-4[/tex]

we have to find the explicit formula for the above sequence.

[tex]a_{n}=a_{n-1}-4[/tex]

[tex]a_{n}-a_{n-1}=-4[/tex]

which is the common difference, d=-4

The explicit formula for A.P is

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_n=7+(n-1)(-4)[/tex]

Option B is correct.

5x +2 =4x

subtract 2 from each side

5x= 4x-2

subtract 4x from each side

x = -2

depending on the value used for PI the answers vary

 but attached picture is solution

 Answer is A.503.77

Answer:

Step-by-step explanation:

It’s actually 7.

In order to find the total number of coins, we need to add all the coins that she has:

34 coins + 25 coins + 36 coins = 95 coins

Felicia has a total of 95 coins.

The correct answer is C

The amount Kalesha will pay for her computer is:

                      $ 710

It is given that:

The original price of the laptop is $900.

The store is offering 10% off on all computers.

Kalesha has a $100 gift card.

Now in order to calculate the amount Kalesha will pay we first have to find the cost that will be reduced on a offer of 10% provided by the store and subtract this reduced price from the original price ; and finally we again subtract $ 100 from this resulting price.

When a offer of 10% is applied to the computer we have:

Price reduced on offer=10% of original price

i.e.

Price reduced on offer=10%×900

i.e.

Price reduced on offer=0.10×900

i.e.

Price reduced on offer=$ 90

Cost of Computer= Original price-Price reduced on offer

i.e.

Cost of computer= 900-90

i.e.

Cost of Computer=$ 810

Now, when Kalesha uses her gift card of $ 100 then,

Amount Kalesha will pay= $ (810-100)

i.e.

Amount Kalesha will pay= $ 710

To ascertain why mean travel time for women could be greater than for men, one would analyze commuting data for both genders and possibly use hypothesis testing to determine if any observed difference is statistically significant.

Understanding the differences in mean travel time between men and women requires analysis of provided data and consideration of statistical methods. For instance, if in San Jose, the recorded commuting times were higher for women, this could be a result of many factors including job location, availability of transportation, or societal roles affecting women's work commute. In the hypothetical scenario provided, it appears there were no actual data points or a graph to refer to, but typically, one would calculate the average commute time for each gender groups and then compare the two means.

For example, if you have a dataset and you're trying to establish whether the mean travel time for women is greater than that for men, you could perform a hypothesis test. The null hypothesis would state there is no difference in the commuting times between men and women, while the alternative hypothesis would state that There is a significant difference in mean commute times. You would then use the data findings, such as sample means and standard deviations, to perform an appropriate statistical test, like a t-test, to determine if there is a statistically significant difference between the mean commute times of the two groups.

Concluding if this difference is significant would involve looking at a predefined significance level (like 5% or 10%) and comparing the p-value from the test to this level. If the p-value is less than the significance level, we reject the null hypothesis and can claim there is a significant difference in the mean travel times between men and women.

Answer:

10 minutes

Step-by-step explanation:

Given: It takes Awan  [tex]8\frac{1}{3}[/tex] minutes to run a mile, it takes Kate  [tex]1\frac{1}{5}[/tex] time longer.

To Find: How long does it take Kate to run one mile.

Solution:

Time taken by Awan to run a mile = [tex]8\frac{1}{3}[/tex] [tex]\text{minutes}[/tex]

                                                         = [tex]\frac{25}{3}[/tex] [tex]\text{minutes}[/tex]

Time taken by Kate to run a mile = [tex]1\frac{1}{5}\times\text{time taken by Awan}[/tex]

                                                       =  [tex]\frac{6}{5}\times\text{time taken by Awan}[/tex]

Therefore,

on putting values

The time taken by Kate =  [tex]\frac{6}{5}\times\frac{25}{3}[/tex] [tex]\text{minutes}[/tex]

                                      = [tex]\frac{6\times25}{5\times3}[/tex]

                                      = [tex]10[/tex] [tex]\text{minutes}[/tex]

Hence, the time taken by Kate to complete one mile is [tex]10[/tex] [tex]\text{minutes}[/tex]

Answer with explanation:

First Possibility

→→100 Squares in a Row Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

→→100 Squares in a Column Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

 So, total number of line segments =101 +2=103

Second Possibility

If you draw 11 line segments of equal length in a column and 11 line segments in a row, you can draw 100 square of equal size.

   So, total number of line segments =11+11=22

The necessary and sufficient conditions for f ◦ g = g ◦ f are that a and c must be non-zero and have the same sign, while b and d can be any values.

To determine the necessary and sufficient conditions for f ◦ g = g ◦ f, we need to find the values of a, b, c, and d that satisfy this equation.

Therefore, the necessary and sufficient conditions for f ◦ g = g ◦ f are that a and c must be non-zero and have the same sign, while b and d can be any values.

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The factored form of the equation x² − 4x − 5 is ( x - 5 )( x + 1 ). The correct option is D.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that the quadratic equation is x² − 4x − 5. The value of x will be calculated as:-

x² − 4x − 5 = 0

x² - 5x + x - 5 = 0

x( x - 5 ) + 1 ( x - 5 ) = 0

( x - 5 ) ( x + 1 ) = 0

Hence, the factored form of the equation x² − 4x − 5 is ( x - 5 )( x + 1 ).

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