Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5
Answers
Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}
Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.
That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}
Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.
Related Questions
T-shirts
$7.50
Shorts
$9.00
Windbreakers
$12.25
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
$958.75
$973.75
$1,021.25
$1,038.75
Answers
Answer:
$973.75
Step-by-step explanation:
7.50x35=262.5
45x9.00=405
25x12.25=306.25
If you add all the sums together you would get $973.75
Pleas Help ASAP Giving brainliest if correct <3
Answers
Answer: the first one is 7/9 and the second one is option 2
Step-by-step explanation:
4+7 = 11
< or> = open dot
An airline estimates that each passenger with baggage weighs 205 pounds.
A gallon of fuel weighs 5 pounds
An airplane can carry 495 passengers and 49,500 gallons of fuel.
Estimate how much an airplane can carry
Options:
A: 300,000 pounds
B: 400,00 pounds
C: 350,000 pounds
Answers
Answer:
The estimated weight that the airplane can carry is: Option C: 350,000 pounds
Step-by-step explanation:
Given that each individual weighs 205 pounds with baggage and one gallon of fuel weighs 5 pounds.
We will work out the passengers weight first.
For Passengers:
Let w be the total weight of all passengers
\(w = weight\ of\ one\ passenger * number\ of\ passengers\\w =205 * 495\\w =101475\ pounds\)
For Fuel:
Let f be the total weight of fuel
Then
\(f = Weight\ of\ one\ gallon * Number\ of\ gallons\\f = 5 * 49500\\f =247500\)
Total weight = 101475 + 247500 = 348975 pounds
As 350000 is nearest to the calculated answer, it will be the right answer.
Hence,
The estimated weight that the airplane can carry is: Option C: 350,000 pounds
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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The cost of 4 baseball bats and 3 softball bats is $389. If the baseball bats
cost $10 less than the twice the hat, write an equation to model the
situation so that we can find the cost of the hat and the baseball bat.
Answers
Answer:
the price of a softball bat is 143 dollars, and the price of a baseball bat is 296 dollars.
Step-by-step explanation:
This is a problem that needs a set of equations because you are solving for two variables. The price of a baseball bat, and the price of a softball bat. To find the two equations in this sentence you take the context clues that are given to you. The first clue is that the cost of 4 baseball bats and 3 softball bats equals 389. Let's make b stand for the cost of a baseball bat, and s stand for the cost of a softball bat. The equation we can get from this piece of information is 4b +3s = 389 dollars. The second piece of information we get is that the baseball bats cost ten dollars less than twice the softball bat price. This is another equation that is b-10 = 2s.
Now that we have both of the hidden equations, we can solve them to find the cost of baseball bats, and softball bats.
First step is to solve one of the equations to get either one of the variables by themselves. I chose the second one, because it takes less steps. b-10 = 2s. If you add ten to both sides you get the variable b by itself in the equation: b = 2s - 10. Now we go back to the first equation, and substitute in 2s - 10 wherever there is a b. This makes equation one look like this: 4(2s - 10) +3s = 389. Now it is a solvable equation. First you distribute the 4 to (2s - 10) you get 8s - 40 +3s = 389. Then you can add 8s and 3s together since they are the same variable. 11s - 40 = 389. Next, add the 40 to both sides to cancel it out, and you get that 3s = 429. Finally, divide both sides by 3 to get what s equals. s = 143.
Now that we have the value of s, we can go back to the first equation and plug that value in to solve for b. This makes the first equation: b - 10 = 2(143).
Multiply the 2 and 143 first. Then, your equation looks like: b - 10 = 286. Finally, add the 10 to both sides to cancel it out and you get that b = 296.
Putting this back into context: the price of a softball bat is 143 dollars, and the price of a baseball bat is 296 dollars.
Will mark brainliest.
Answers
The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
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complete question:
Find the value of each variable
Jane has a pile of 6 books. Together, the books weigh 4 pounds. If the books are
similar in weight, about how much does each book weigh?
Btw the answers not 2 lbs bc 2lb x 6 = 10 lbs and it needs to equal 4 lbs.
Answers
Answer:
\(\frac{2}{3}\) lbs per book
Step-by-step explanation:
We can divide 4 pounds by the total number of books, 6, to find out how much each book weighs.
4 lbs / 6 books = \(\frac{4/2}{6/2}=\frac{2}{3}\) lbs
Each book weighs \(\frac{2}{3}\) lbs
2/3 is equal to about 0.667
Another thing I wanted to note, 2 lbs * 6 = 12 lbs, not 10 lbs.
someone answer this
Answers
Answer:
16
Step-by-step explanation:
The right triangle shown is a 30:60:90 triangle.
30:60:90 right triangles have a 1:sqrt(3):2 ratio between their sides.
Since the side opposite from the 30 degree is 8, and x is opposite from the 90 degree angle, 8 and x have a 1:2 ratio, or 8:16.
3421 ounces equals how many tons
Answers
Answer:
0.1069062
Step-by-step explanation:
divide the mass value by 32000
hope this helps.
The top speed of this coaster is
128 mph. What is the tallest peak
of this coaster?
** Hint... convert mph into m/s.*
Answers
To convert miles per hour to meters per second divide by 2.237
128 miles per hour / 2.237 = 57.22 meters per second.
Using the first equation:
57.22 = sqrt(2 x 9.81 x h)
Remove the sqrt by raising both sides to the second power:
57.22^2 = (2 x 9.81 x h)
Simplify Both sides:
3274.1284 = 19.62h
Divide both sides by 19.62:
H = 3274.1284/ 19.62
H = 166.88 meters
Carissa has a fish tank that can hold up to 50 gallons of water but it is leaking at a constant rate. When Carissa first notices the leak, the tank has 40 gallons of water. Two hours later the tank has 30 gallons. At what rate is the water leaking? Use a signed number, and include the unit of measurement in your answer.
Answers
Answer:
for every 2 hour 10 gallons leak out
Step-by-step explanation:
one more question whats 6/8 times 40
Answers
Answer:
30
Step-by-step explanation:
hope it helps <3
Can y’all help me on question 34?!
Answers
Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 46 days and a standard deviation of 10.5 days. Find the probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days.
a) 0.7475
b) 0.5379
c) 0.4525
d) 0.2525
e) 0.5050
Answers
0.2525 is the probability that a simple random sample.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability is a measure of how likely or likely-possible something is to happen.
Since the distribution of the life expectancies of a certain protozoan is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancies of the certain protozoan.
µ = mean
σ = standard deviation
n = number of samples
From the information given,
µ = 46 days
σ = 10.5 days
n = 49
The probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days is expressed as
P(x ≥ 47) = 1 - P(x < 47)
For x = 47
z = (47 - 46)/(10.5/√49) = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.0.75
P(x ≥ 47) = 1 - 0.75 = 0.25
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Find the volume of a sphere having a radius of 9/8mi
Answers
\(\pi\)Answer:
the volume is 5.96
Step-by-step explanation:
\(v =\frac{4}{3} \pi r^3\\\\\)
9/8 as a decimal is 1.13
\(\frac{4}{3}\)×\(\pi\)×1.13³≈5.96412
Hope this helps:).......if not then sorry for wasting your time and may God bless you:)
area of a triangle is 240 centimetre square and its base is 20 CM then find its height of the triangle
Answers
(2x2 + x - 10) = (x - 2)
Answers
Answer:
8
Step-by-step explanation:
i think but Good Luck:D
in January the depth of a lake was 943 feet in August the depth of the lake was 754.4 what is the percentage decrease of the depth of the lake from January to August
Answers
The percentage decrease of the depth of the lake from January to August is 20%.
What is percentage decrease?The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.
Given,
The depth of lake in January = 943 feet
The depth of lake in August = 754.4 feet
The difference is = (943-754.4) feet
= 186.6 feet
So, the percentage decrease of the depth of the lake from January to August will be = (186.6 ÷ 943) × 100
= 20%
Therefore, the answer is 20%.
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1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
Answers
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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The acute angle with vertex Q measure 60 degrees. Use an equation to find the keasure if the obtuse angle with vertex P
Answers
The measure of the obtuse angle with vertex P is 30 degrees.
We have,
If there is an acute angle with vertex Q measuring 60 degrees, then there must be a corresponding obtuse angle with vertex P that shares the same side as angle Q.
Let's call the measure of this obtuse angle x.
By the angle sum property of triangles, the sum of the measures of the three angles in any triangle is always 180 degrees.
Therefore, we can write the equation:
60 degrees + 90 degrees + x = 180 degrees
Simplifying this equation, we get:
x = 180 degrees - 60 degrees - 90 degrees = 30 degrees
Therefore,
The measure of the obtuse angle with vertex P is 30 degrees.
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a popular theater has had 399,867,231 visitors since it opened. Which number, written in scientific notation, is the best approximation of the number of visitors
Answers
Answer:
4 x \(10^{8}\)
Step-by-step explanation:
Round the number to
400,000,000
4 x \(10^{8}\)
We moved the decimal 8 places.
Answer:
4 x 10^8 (four times ten to the power of eight) is the best approximation of the number 399,867,231 written in scientific notation.
Step-by-step explanation:
What is the most logical first step in solving the equation x^2 + 6x + 9 = 10?
A. Take the square root of both sides of the equation
B. Subtract 10 from both sides of the equation
C. Factor the left side of the equation
D. Subtract 9 from both sides of the equation
Answers
1st step for solving X is Moving all terms to the left of the equation and simplifying
Subtract 10 from both sides of the equation
x^2 + 6x - 1 = 0
Andrew is elder to Brian by 2 years. Andrew's father Frank is twiceas old as Andrew, and Brian is twice as old as his sister Sarah. If theages of Frank and Sarah differ by 40 years, then find the age ofAndrew.
Answers
Let "x" represent the age of Brian.
Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"
Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"
Sarah has half the age of Brian's, we can symbolize her age as "x/2"
Frank ans Sarah's ages differ by 40 years, we can symbolize this as:
\(2(x+2)-\frac{x}{2}=40\)Solve the term is parenthesis
\(\begin{gathered} 2x+4-\frac{1}{2}x=40 \\ 2x-\frac{1}{2}x+4=40 \\ \frac{3}{2}x=40-4 \\ \frac{3}{2}x=36 \\ x=24 \end{gathered}\)x=24 years
Andrew's age is
\(x+2=24+2=26\)Andrew is 26 years old
Which of the following is a way to use this fact to quickly evaluate 3^6?
Answers
Answer:
Which of the following is NOT noted as a way to evaluate if a helping response …
a. use the experiential recapitulation process.
b. use an empathic response to check a perception...
✓ use the experiential recapitulation process.
Step-by-step explanation: You didnt give me any choices...This is the best i could do
Find the ratio of the similar figure (red to blue) for the perimeter and area
15
6
What is the Perimeter and area
Answers
Yesterday a car rental agency rented 237 vehicles, of which 51 were sport utility vehicles.
What is the experimental probability that the first vehicle rented today will be a sport utility
vehicle?
Write your answer as a fraction or whole number.
P(sport utility vehicle)
Submit
Next up
Dong for now? Try these next:
Answers
Answer:
21.5%
Step-by-step explanation:
51 divided by 237 to get percentage (237*.215% = 51)
Write the word sentence as an equation.
$11 3/4$
is the quotient of a number y and $6 1 /4
An equation that represents this sentence is
.
Answers
The word sentence is an equation:
y divided by 6.25 = 11.75
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given that,
an equation 11 3/4 is the quotient of a number y and 6 1 /4.
Since the quotient is:
The quotient is obtained after the process of division is completed. This means when a divisor divides a dividend, the answer that we get is the quotient. In other words, the quotient can be found using the formula, Dividend ÷ Divisor = Quotient.
In our case,
Dividend = y
Divisor = 6 + 0.25 = 6.25
Quotient = 11 + 0.75 = 11.75
Thus, the word sentence is an equation:
y divided by 6.25 = 11.75
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why can’t exponential equations be zero
Answers
Cannot be zero because any exponential number with base 0 is equal to 1.
Can someone please help me :)
Answers
Answer:
2\(\sqrt{13}\)
Step-by-step explanation:
12x12 = 144
14x14 = 196
144 + ? = 196
196 - 144 = 52
\(\sqrt{52}\) = 2\(\sqrt{13}\)
A shoe store provides women’s shoes for sizes 5 to 11. Write a compound inequlity for shoes sizes they do not
provide for.
Answers
Answer: x<5 or x>11
Step-by-step explanation: