Answer: 16384
Step-by-step explanation:
The 15th term of the geometric sequence 4,-8, 16, -32, 64... is 131072. The term is obtained by using the formula for the nth term of a geometric sequence.
Explanation:The sequence given is a geometric sequence. This means every term is obtained by multiplying the previous term by a constant. In this case, the constant is -2 (since -8 = 4*-2, 16 = -8*-2, -32 = 16*-2, etc).
The formula for the nth term of a geometric sequence is a*r^(n-1), where a is the first term, r is the ratio (constant), and n is the position of the term in the sequence. In this case, the first term a is 4 and the ratio r is -2. Substituting these values and n=15 into the formula, we get the 15th term as 4*(-2)^(15-1) = 131072.
Therefore, the 15th term of the sequence 4,-8, 16, -32, 64... is 131072. This can be found by applying the formula for the nth term of a geometric sequence and substituting the given values.
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if you ran a 26 mile marathon at an average speed of 10 mi/hr, how long would it take you to run the marathon?
Help! I need help please!
Answer:
[tex] \sin A = \frac{3}{5} [/tex]
One side of a rectangle is three times the other. Find the longer side if the perimeter is
29
Answer:
Answer: 10.875
Step-by-step explanation:
Let the short side be x.
Then the long side is 3x.
There are two opposite sides of each length, so the perimeter is
3x + 3x + x + x = 8x
The perimeter is 29, so we get the equation
8x = 29
Solve for x by dividing both sides by 8.
x = 29/8
x = 3.625
The longer side is 3x.
3x = 3(3.625) = 10.875
Answer: 10.875
Answer:
Answer:10.875
Step-by-step explanation:
Let the short side be x.
Then the long side is 3x.
There are two opposite sides of each length, so the perimeter is
3x + 3x + x + x = 8x
The perimeter is 29, so we get the equation
8x = 29
Solve for x by dividing both sides by 8.
x = 29/8
x = 3.625
The longer side is 3x.
3x = 3(3.625) = 10.875
Answer: 10.875
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1) Who in your class has the most pets?
2)How many times did you eat a peanut butter and jelly sandwich last week?
3) How many siblings do you have?
4) How many siblings does the average 6th-grade student have?
Which are the statistical questions? The correct answer gets brainliest
Answer:
How many siblings does the average 6th-grade student have?
Step-by-step explanation:
In order to know the average, you need to collect all the amounts of siblings 6th grade students have and then you need to add them all together and divide by how much numbers there are and you'll get your average.
Evelyn planes to go to the fair with three of her friends. she needs to earn at least $60 yo attend the fair . if Evelyn earns $7.50 per hour babystting , how many hours Will she need to work in order to have enough Money to go to the fair with her friends?
Answer: 8 hours
Step-by-step explanation:
60$/7.5$ = 8
Answer:
8 hours
Step-by-step explanation:
60/7.5 = 8
Kylie went on a road trip with her family. They traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours. What was the total distance in miles that Kylie’s family traveled during this time?
Answer: 320 miles
Step-by-step explanation:
First, we need to make an equation. However, we can’t fight to label the variables:
t = total number of miles
h = number of hours
Now let’s set up our equation:
t = 50h + 65h
The good thing is that we know how many hours each speed was held for, so we can substitute it in the equation.
t = 50(2.5) + 65(3)
t = 125 + 195
t = 320
Therefore, the total number of miles traveled is 320.
The total distance in miles that Kylie’s family traveled during this time is 320 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that Kylie traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours.
First, we need to make an equation thus we have;
t = total number of miles
h = number of hours
Now let’s set up our equation as;
t = 50h + 65h
Now we can substitute it in the equation.
t = 50(2.5) + 65(3)
t = 125 + 195
t = 320
Therefore, the total number of miles traveled is; 320 miles.
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Which number is an irrational number?
Answer:
0.6
Step-by-step explanation:
A new pair of shoes that was $80 is now on sale for $60. Which of the following is true about the percent of
change?
The shoes are now 75% less expensive.
The shoes are now 25% less expensive.
The shoes are now 20% less expensive.
The shoes are now 10% less expensive.
help me plss
i need help will give brainliest!!!
Answer:
B for the first one
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
PLEASE HELP?!
Polygon LMNOP ~ Polygon QRSTU What is TU?
Answer:
The answer is B.
Step-by-step explanation:
9 : 12 = 3 : 4
12 : 16 = 3 : 4
Known :
LMNOP ~ QRSTU
OP = 12
LM = 9
QR = 12
Asked :
TU = ...?
Answer :
[tex] \frac{op}{tu} = \frac{lm}{qr} \\ \frac{12}{tu} = \frac{9}{12} \\ tu = \frac{12 \times 12}{9} \\ tu = \frac{12 \times 12}{3 \times 3} \\ tu = 4 \times 4 \\ tu = 16[/tex]
So, the side of TU is 16 (B)
Hope it helpful and useful :)
-7-4x=18
What does x stand for?
PLEASE!!
h(t) = (t + 3) ^ 2 + 5
Answer:
If you are looking for the vertex then the answer is (-3, 5)
Step-by-step explanation:
Hope this works
I found $3200 in an envelope near my
house. I turned it into the police because it
seemed very suspicious! They said that if
no one claimed it in three years, then I
would get all of the money plus interest.
They put the money into an account that
pays 7.5% interest compounded monthly.
If no one claims the money, how much
would I get at the end of the three years?
A.6379.80
B.12,396
C.4328.53
D.4004.63
Answer:
The answer is C
Step-by-step explanation:
I did the math
Super easy math I don’t feel like doing
Answer:
138 m
Step-by-step explanation:
Monica needs soup. The store has a special 5 cans for $10.00. If she buys just one can of soup, the cost is $2.20. Which is the better deal?
explanation pls!
Can someone please help me with this question??
Answer:
0.01 or 1%
Step-by-step explanation:
Find the original value of the stock by adding the amount lost to the end value.
$67.32 + $0.68 = $68.00
You would then divide the end value by the original value.
$67.32 / $68.00 = 0.99
To find what percentage the stock declined by, you would subtract.
1.00 - 0.99 = 0.01
To convert 0.01 to a percentage, you would multiply it · 100 to get 1%.
Which is a solution of x^2- x - 3/4= 0?
-1/4
1/2
3/2
3/4
Answer:
its B
Step-by-step explanation:
how much will it cost to get 4 tires if the 4th one is free
4a²-8a - 5 need help?
Answer:
(2a+1)(2a-5)
Step-by-step explanation:
Mrs. Henson's rectangular afghan is 2 feet
longer than it is wide. If the afghan has an
area of 24 square feet, what is its width?
(Remember, the area of a rectangle is its
length times its width.)
Answer:
The width is 4
Step-by-step explanation:
If the length is 6 feet, minus 2 will be 4. Six times 4 is 24, which is the area of the afghan rug. We are multiplying 6 and 4 because it is length times width in rectangle area.
Mrs. Henson's rectangular afghan width will be 4 feet
Area of a rectangleIt is the product of its length and width
How to solve this problem?
Let, x be width of rectangular afghanGiven,Length of afghan is 2 feet more than its width
∴ l = x+2
Area of rectangular afghan = 24 square feet
Now,Area of rectangular afghan = lw
[tex]24=x(x+2)\\24=x^{2} +2x\\x^{2} +2x-24=0\\x^{2} -4x+6x-24=0\\(x-4)(x+6)=0\\x=4 or -6[/tex]
Since width can not be in negative[tex]x=4feet[/tex]
So the width of rectangular afghan will be 4 feet
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Of the 24,400 working hours logged at a beauty salon last year, Beatrice worked 976 hours. What percentage of the total hours did Beatrice work?
Answer: 4% (or 4.1% when rounded to the nearest tenth or 4.08 % when rounded to the nearest hundredth)
Step-by-step explanation:
First, you would need to put it into a fraction.
You have [tex]\frac{996}{24400}[/tex].
When you divided it, you would get:
0.04081....
Then you have to multiply times 100 to get it into percent form. This gives you:
4.081%
Then, round as you please!
This is your answer!
Which graph represents the equation y = --3x – 1?
Answer:
Step-by-step explanation:
The equation y = -3x - 1 represents a straight line with a slope of -3 and y-intercept of -1. The graph will be a line falling to the right and crossing the y-axis at -1.
Explanation:The question asks which graph represents the equation y = -3x - 1. This is a linear equation, where the coefficient of 'x', -3 here, gives us the slope of the line, and the constant, -1 here, gives us the y-intercept. A slope of -3 means for each step of 1 increase in x, the value of y decreases by 3. The y-intercept is the point where the line intersects with the y-axis, in this case at y = -1.
A graph representing this equation will be a straight line with a slope of -3 (indicating the line falls as we move along the positive x-axis) and will cut the y-axis at y = -1.
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Divide. Write the quotient in lowest terms.
11-13
Answer:
0.85
Step-by-step explanation:
What is the Range of the following number sequence:
1, 2, 3, 4, 5, 6, 7, 8, 9
Look at the attached picture ⤴
Hope it will help u...
Answer:
8
Step-by-step explanation:
1-9=8
PLEASE HELP (WILL NAME BRAINLYEST)
The area of Australia/Oceania is approximately 7.69 × 106 square kilometers. Its population is approximately 3.11 × 107 people. What is the approximate population density (people per square kilometer) of Australia/Oceania? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
Answer: 3.11*10^7/7.69*10^63110/769 Answer:4.04
will I still get brainliest?
The population density of Australia/Oceania is calculated by dividing the total population (3.11 × 107 people) by the total area (7.69 × 106 square kilometers), which results in a density of approximately 4.04 people per square kilometer.
Explanation:To calculate the population density of Australia/Oceania, we need to divide the total population by the total area. The area of Australia/Oceania is approximately 7.69 × 106 square kilometers, and the population is approximately 3.11 × 107 people.
The calculation for population density is:
Population Density = Total Population / Total Area
So:
Population Density = 3.11 × 107 people / 7.69 × 106 square kilometers
This results in a population density of
Population Density = 4.04363 people per square kilometer (unrounded)
Rounded to the nearest hundredth, the population density is approximately 4.04 people per square kilometer.
True or False: All statements of equality below are correct. Please help!!
Answer:
True?
Step-by-step explanation:
A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutesWhich system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt..
Answer:
Option B
Step-by-step explanation:
When moving with the current, the speeds of the boat and current will add up. The first situation can then be represented by:
9 = 0.5(x + y)
While opposing the current, the speeds will be subtracted. Forming:
9 = 1.5(x - y)
The second option contains this equation system, so it is correct.
Answer:
it is B
Step-by-step explanation:
i got it right on test
Luis drank 12 gallons of juice from the carton how many quarts of juice did Luis drink
Luis drank 48 quarts of juice. This is calculated by multiplying the known quantity of 12 gallons by the conversion factor of 4 quarts per gallon.
Explanation:This question involves a unit conversion from gallons to quarts. In the US customary measurement system, we know that 1 gallon is equal to 4 quarts. Since Luis drank 12 gallons of juice, to find out how many quarts Luis drank we would perform the following multiplication:
12 gallons x 4 quarts/gallon = 48 quarts
Therefore, Luis drank 48 quarts of juice.
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Can you subtract closed polynomials
Answer:
Polynomials are closed under addition. When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the difference has variables and exponents which are already classified as belonging to polynomials.
Step-by-step explanation:
Order each set of numbers from least to greatest (10, -5, 3 16, -1, 0, 1)
Answer:
( -5,-1, 0, 1, 3, 10,16)
Step-by-step explanation:
Order of number from least to greatest is thus
( -5,-1, 0, 1, 3, 10,16).