3,−6,12,−24,...
You can rewrite this as:
(−1)n3⋅(1,2,4,8,...)
If we focus on 1,2,4,8...
an+1=2an
with a0=1.
This can be written out as a nice sum:
N∑n=02n=20+21+22+23+...
=1+2+4+8+...
Thus, now we can recombine everything to get:
3N∑n=0(−1)n2n
The Scott Shop charges $27 more than the Garcia Co. for a winter jacket. If the Scott shop’s price is $77, how much does the Garcia Co. charge?
subract 27 from 77
77 -27 =50
Garcia charges 50 dollars
Find the equation of the circle with center at the origin that contains the point ( 12 , 9 ) (12,9).
I need help from a math genius
What is the y-intercept of the line? y +6x - 4y-intercept =?
Answer:
[tex]\huge\boxed{\boxed{\tt{the \ y-intercept \ is \ -4}}}[/tex]
Step-by-step explanation:
Hello.
The equation is written in slope-intercept form (y-mx+b, where m stands for the slope of the line and b stands for the y-intercept)
Let's write the equation and see if we can identify its y-intercept (the point where the graph touches the y-axis)
Equation:
[tex]{\boxed{\boxed{\bf{y=6x-4}}}[/tex]
Y-intercept:
[tex]\boxed{\boxed{-4}}[/tex]
And we're done!
Note: The slope of the line is 6.
I hope it helps & have an outstanding day!
~ST2710
Two angles are complementary. the measure of one angle is 21 more than the measure of the other angle. find the measures of the angles
At 12:00 noon two mississippi steamboats are 126 miles apart. at 6:00 p.m. they pass each other going in opposite directions. if one steamboat travels 9 miles per hour faster than the other, find the speed of both boats.
The answer will be
The rate of the first steamboat is 6 mph, the rate of the second steamboat is
15 mph .
To maximize learning, a ________ should be presented on a(n) ________ schedule.
To maximize learning, a CS + UCS should be presented on a(n) continuous schedule.
In here, CS means conditional stimulus while UCS is the unconditioned stimulus. Taking for example, let us imagine that the smell of food is the unconditioned stimulus, the feeling of hunger in response to that specific smell is a unconditioned response, and then the sound of the whistle is the conditioned stimulus.
If t varies directly as s and inversely as v^2 and is t =0.1 when s =72 and v=6, find s when t=5 and v=0.2
4. The science team uses the information to suggest the main outcome of the hypothesis.
a. Make a prediction
b. Test the hypothesis
c. observe the problem
d. Define a problem
5. This step includes recording data, taking photos, and coordinating information.
a. Make a prediction
b. Test the hypothesis
c. observe the problem
d. Define a problem
Which value can fill in the blank in the function f(x)=|x| to make it's graph wider than that of the parent function, f(x)=|x|
To widen [tex]\( |x| \)[/tex]'s graph, use [tex]\( f(x) = |ax| \)[/tex] where [tex]\( a > 1 \),[/tex] stretching horizontally by multiplying [tex]\( x \) by \( a \).[/tex]
To make the graph of the function [tex]\( f(x) = |x| \)[/tex] wider than that of the parent function [tex]\( f(x) = |x| \)[/tex], we need to stretch the graph horizontally.
In the absolute value function [tex]\( f(x) = |x| \)[/tex], the "wideness" of the graph is determined by the coefficient of [tex]\( x \)[/tex], which affects the slope of the graph. When the coefficient of [tex]\( x \)[/tex] is greater than 1, the graph becomes wider, and when it's less than 1, the graph becomes narrower.
So, to make the graph wider, we can introduce a coefficient [tex]\( a \)[/tex] to the [tex]\( x \)[/tex]term inside the absolute value function. The function becomes [tex]\( f(x) = |ax| \), where \( a \)[/tex] is a positive constant greater than 1.
For example, if [tex]\( a = 2 \)[/tex], the function becomes [tex]\( f(x) = |2x| \)[/tex]. This means every \( x \) value in the function is multiplied by 2 before taking the absolute value. As a result, the graph stretches horizontally, making it wider than the parent function.
In conclusion, to make the graph wider than the parent function [tex]\( f(x) = |x| \)[/tex], we can use the function [tex]\( f(x) = |ax| \)[/tex], where [tex]\( a \)[/tex] is a positive constant greater than 1.
What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is
The answer is
25
hope that helps
Suppose the number $1155$ is written as the product of three positive integers. What is the smallest possible value of the sum of those three integers?
First off, let us find for the prime factors of this number, 1155. The prime factors are:
3 * 5 * 7 * 11 = 1155
3, 5, 7, 11
Since there are 4 prime factors, we multiply the two smallest prime factors to make this into three, so multiply 3 and 5, so:
15, 7, 11
Now the smallest possible sum is:
15 + 7 + 11 = 33
Answer:
33
The floor of a shed has an area of 99 square feet. the floor is in the shape of a rectangle whose length is 7 feet less than twice the width. find the length and the width of the floor of the shed. use the formula, area equals=length times•width.
Final answer:
The width is 9 feet and the length is 11 feet.
Explanation:
The area of a shed floor is given as 99 square feet, and the floor is shaped like a rectangle. According to the problem, the length (L) of the floor is 7 feet less than twice the width (W). The relationship between length and width can be expressed as L = 2W - 7. We can use the area formula, which is Area = Length × Width.
Given the area (A) is 99 sq ft, we can set up the equation:
A = L × W
99 = (2W - 7) × W
Now we solve for W using the quadratic equation:
W2 - 7W + 99 = 0
Upon solving, we find that W = 9 feet (since the width cannot be negative). Now we can find the length L by substituting W into the length expression:
L = 2 × 9 - 7 = 11 feet
Therefore, the width is 9 feet and the length is 11 feet.
How is the graph of y=9(3)^x+6 translated from the graph of y=9(3)^x?
PLEASE HELP ASAP!! Will give brainliest!
1)100,1000,10,000, or 100,000
2)Greater or less
the awnser to this question is less than
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg. Write an equation to determine the weight, (w), of each of Carl's checked bags.
Answer:
15.5
Step-by-step explanation:
2w+ 4 = 35 is the equation
15.5 is the total for w
I did this khan and this answer is correct
Hope this helps!
:)
What is the value of x? The triangle is similar.
A tortoise and a hare are competing in a race around a 1600-meter track. The arrogant hare decides to let the tortoise have a 780-meter head start. When the start gun is fired the hare begins running at a constant speed of 10 meters per second and the tortoise begins crawling at a constant speed of 5.3 meters per second.
Interpret the graph to determine the statement the manager at a building supply store can use to help a customer determine how much primer to purchase.
Each gallon of primer will cover a (minimum) (maximum) (multiple) of (200) (400)(600) square feet
Answer:
Each gallon of primer will cover a maximum of 200 square feet
Step-by-step explanation:
The x-axis of the graph is the area to paint in square feet. The y-axis of the graph is the number of gallons of primer needed.
We can see that 1 gallon of primer covers from 0 to 200 feet; 2 gallons of primer covers from 200 to 400 feet; etc.
This tells us that each gallon of primer covers a maximum of 200 square feet.
The area of a square bedroom is 144 square feet. what is the length of one wall?
The length of one wall of the bedroom is 12 feet, which is the square root of the room's area of 144 square feet
The area of a square is calculated by squaring the length of one of its sides, so if the area of a square bedroom is 144 square feet, the length of one side can be found by taking the square root of the area. Therefore, to find the length of one wall, calculate the square root of 144, which is 12 feet. So, the length of one wall of the bedroom is 12 feet
a rectangle has a diagonal which is 4 times the width if the area is 15root2 what are width andperimeter of the rectangle
The perimeter of the triangle shown to the right is 115 feet . Find the length of each side
To find the length of each side of the triangle, we need to determine the length of the third side. The perimeter of the triangle is given as 115 feet. We know that the first side is 80 feet long and the second side is 105 feet long. To find the length of the third side, we subtract the sum of the lengths of the first two sides from the perimeter: 115 - 80 - 105 = 115 - 185 = -70.
Explanation:To find the length of each side of the triangle, we need to determine the length of the third side. The perimeter of the triangle is given as 115 feet. We know that the first side is 80 feet long and the second side is 105 feet long. To find the length of the third side, we subtract the sum of the lengths of the first two sides from the perimeter: 115 - 80 - 105 = 115 - 185 = -70.
However, since the length of a side cannot be negative, it means that there has been an error in the measurements or calculations. Please double-check the given information and calculations to ensure the accuracy of the question.
Soft drinks are sold in 2-liter bottles or 354-milliliter containers. How many liters are in 354 milliliters? please explain well
Amanda walks at an average speed of 3.5 miles per hour. The function d(x) gives the distance Amanda walks in x hours
A tortoise walk 52.0 feet per hour. Convert this into inches per minute
1 foot = 12 inches
52 * 12 = 624 inches per hour
1 hour = 60 minutes
624/60 = 10.4 inches per minute
I’m stuck. Please help.
Ashley is making cookies. the recipe calls for 3/4 of a cup of sugar. she needs to make five batches of cookies. how many cups of sugar does ashley need?
How many seconds are there in (a) one hour and thirty-five minutes and (b) one day?
what two integers does Square Root 140 fall between?
You spend 5/6 of the money in your pocket on new clothes for school. The amount you spend on jeans for school is 2/5 of the total amount you spend on all your school clothes.
What fraction of the original amount of money in your pocket do you spend on jeans?