An arithmetic sequence has this recursive formula
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.
help me with this I don't get it help4help?
Three fourths of college students use the Internet more than the library. Nine hundredths use the library more. How many times more students use the internet?
Felicia has 34 quarters,25 dimes and 36 pennies,how many coins does Felicia have?
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
Nancy purchased bed sheets for 36.00. They were on sale for 25% off. What was the original price
Michael plays 1/5 of a song in 1/15 pf a minute. How many minutes will it take to play whole song
What is the factored form of x2 − 4x − 5?
(x + 5)(x − 1)
(x + 5)(x + 1)
(x − 5)(x − 1)
(x − 5)(x + 1)
The factored form of the equation x² − 4x − 5 is ( x - 5 )( x + 1 ). The correct option is D.
What is a quadratic equation?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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The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance if he correctly rounded to the nearest hundred
Can someone help me understand why the mean travel for women is greater than the mean travel for men?
Problem Words:
"In San Jose, the amount of time it took each person to get to work was recorded and rounded up to the nearest 555 minutes. The data collected for men and women are shown in the bar graph to the left"
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.
Explanation: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.
4/9 divided by what equals 12
or parallelogram ABCD, A(0, 0), B(a, b), and D(c, 0) are three of its vertices. Find the coordinates of C in terms of a, b, c.
Answer:
(a + b, c)
Step-by-step explanation:
I did this is school and this was the correct answer!
If you need extra security just look at this brainly question. (below ) It is the same question asked by a diffrerent person. And these people got this answer also!
https://brainly.com/question/3718051?referrer=searchResults
What is the area of a circle with a diameter of 8 meters (use 3.14 for O
)
Explain why the function is differentiable at the given point then find the linearization of x/(x+y)
What is the volume of the frustum?
depending on the value used for PI the answers vary
but attached picture is solution
Answer is A.503.77
Let f (x) = ax + b and g(x) = cx + d, where a, b, c, and d are constants. determine necessary and sufficient conditions on the constants a, b, c, and d so that f ◦ g = g ◦ f
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.
Explanation: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.
a and c must be non-zero, as dividing by zero is undefined in functions.If a and c have different signs, f ◦ g and g ◦ f will have different slopes, which means they will not be equal. Therefore, a and c must have the same sign.If a and c have the same sign, b and d can be any values, as they won't affect the slopes of the functions.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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Find an equation of the sphere that passes through the origin and whose center is (â2,2,3). be sure that your formula is monic.
Tina and Bruce are each rolling a 1 to 6 number cube . they are looking for different ways to roll two factors whose product is greater than 14. how many different ways will they find ?
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.
Which number when multiplied by 3/4 gives a product between 3/4 and 1?
A: 0
B: 1/4
C: 3/4
D: 1 1/4
1 1/4 = 5/4
5/4 * 3/4 = 15/16
Answer is D 1 1/4
a number is double and than increased by nine. the result is ninety-one. what is the original number?
the sum of 5 times a number and 2 is equal to 4 times the number
5x +2 =4x
subtract 2 from each side
5x= 4x-2
subtract 4x from each side
x = -2
A store is giving away a $10 to every 7th person to enter the store and a $25 coupon to every 18th person to enter the store . which person will be the first to get both coupons?
How to divide 546 divided 78
If 12 less than 4 times a number is 8, the number is 5. What difference sentence where the unknown number is also 5?
A construction firm is trying to decide which of two models of a crane to purchase. Model A costs $100,000 and requires $4,000 per year to maintain. Model B has an initial cost of $78,000 and a maintenance cost of $13,000 per year. For how many years must model A be used before it becomes more economical than B? (Round your answer to one decimal place.)
Kalesha is purchasing a laptop. The original price of the laptop is $900. The store is offering 10% off on all computers. Kalesha has a $100 gift card.
How should Kalesha determine the amount she will pay for her computer?The amount Kalesha will pay for her computer is:
$ 710
Step-by-step explanation: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
in a sale there is 25% off all prices a bed costs £33 in the sale what was the original price
Which number is 1/10 as great as 0.7?
Answer:
Step-by-step explanation:
It’s actually 7.
solve the system of equations by graphing 4x-5y=20
It takes Awan 8 1/3 minutes to run a mile, it takes Kate 1 1/5 time longer. How long does it take Kate to run one mile?
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]
Which number sentence correctly solves this problem?
Jill's dad spent $783 for home repairs and $390 for car repairs. How much did Jill's dad spend on the repairs?
A.
783 – 390 = 393
B.
783 + 390 = 1,073
C.
783 + 390 = 1,173
D.
783 – 390 = 493