Step-by-step explanation:
I hope this helps!!!!! have a good day
Answer:18.7
Step-by-step explanation:
TEPS FOR SOLVING LINEAR EQUATION
0.6n−2.22=9
Add 2.22 to both sides.
0.6n=9+2.22
Add 9 and 2.22 to get 11.22.
0.6n=11.22
Divide both sides by 0.6.
n=
0.6
11.22
Expand
0.6
11.22
by multiplying both numerator and the denominator by 100.
n=
60
1122
Reduce the fraction
60
1122
to lowest terms by extracting and canceling out 6.
n=18.7
Use this to help https://mathsolver.microsoft.com/en/solve-problem/0.6n-2.22%20%3D%20%209
if you can buy 8 gallons of gas for $25.60, what is the cost per gallon? use a proportion to slove and show all work
Set up a proportion:
8 gallons 1 gallon
------------------ = -------------------
25.60 dollars x dollars
Then, cross multiply
8x= 25.60
x = 3.20 dollars
Answer:
25.60/8=3.2 because to find per gallon 8/8=1 and 25.60/8=3.2
Step-by-step explanation:
I need help please anyone ?!!!!
Answer:
B
Step-by-step explanation:
The answer is 21 because the pattern is multiplying by 3!
a ball is thrown up vertically. after t seconds, it's height (in feet) is given by the function h (t)=96t-16t^2 . after how long will it reach its maximum height
The time taken to reaches its maximum height is 3s.
In the question,
It is given that,
Height, h(t) = \(96t - 16t^{2}\)
The maximum value of the function is obtained if the first derivative of the function h (t) = 0.
\(\frac{dh(t)}{dt} = 96 - 32t = 0\)
⇒ \(t = 3\)
So, time taken to reach its max height is 3 seconds.
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this would meen so much if you could her me iim so stressed out pls help
Answer:
375, 450, 9, 750
is, always, 75
Step-by-step explanation:
Hope this helps, dont stress out you got this
HELP ASAP PHOTO INCLUDED
The volume of the cylindrical shaped pool with water is V = 75.4 feet³
Given data ,
Let the diameter of the pool be d = 8 feet
So , radius r = 4 feet
And , the height of the cylindrical pool is h = 3 feet
Now , the water is half full
So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h
V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )
On simplifying , we get
V = 75.4 feet³
Hence , the amount of water in pool is V = 75.4 feet³
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In how many ways can the letters of the word AFFECTION be arranged, keeping the vowels in their natural order and not letting the two F’s come together?
Answer:
Step-by-step explanation:
To find the number of ways the letters of the word AFFECTION can be arranged while keeping the vowels in their natural order and ensuring that the two F's do not come together, we can break down the problem into separate steps.
Step 1: Determine the arrangement of the vowels (AEIO). Since the vowels need to be in their natural order, we can consider them as one unit. So, the vowels can be arranged in 1 way.
Step 2: Determine the arrangement of the remaining consonants (FFCTN). Again, since the two F's cannot come together, we need to consider the F's as separate entities. The remaining consonants can be arranged in 5! (5 factorial) ways.
Step 3: Combine the arrangements from Steps 1 and 2. The vowels can be arranged in 1 way, and the consonants can be arranged in 5! ways.
Therefore, the total number of arrangements is 1 × 5! = 1 × 120 = 120.
Hence, there are 120 ways to arrange the letters of the word AFFECTION while keeping the vowels in their natural order and ensuring that the two F's do not come together.
which operation is used to convert decimeters to millimeters
To convert decimeters to millimeters use the arithmetic operation of multiplication.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
To convert decimeters to millimeters, you would use multiplication by 10.
There are 10 millimeters in 1 centimeter, and 10 centimeters in 1 decimeter.
So to convert from decimeters to millimeters, one would multiply by 10 twice, or by 100.
Therefore, multiplication operation is used.
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thanks for the help!
Hope you could understand.
If you have any query, feel free to ask.
please help!!! what is the interquartile range?
Sharvay spends $15 to buy 17 pieces of candy. M&M’s cost $0.75 and candy bars cost $1. How many M&M’s and candy bars did Sharvay buy?
Answer:
8 M&Ms and 9 Candy Bars
Step-by-step explanation:
$15 dollars could buy 15 candy bars, and there are 17 pieces of candy total.
Prioritizing the number of bars:
0.75 * 2 = 1.50
1.50 * 2 = 3
At least $3 were spend on M&Ms, meaning 4 M&Ms and 12 candy bars, which is only 16 candy pieces...
8 M&Ms and 9 candy bars is equivalent to 17 total candy pieces.
More than two-thirds of undergraduate students who graduated with a bachelor's degree had student loan debt. The average student loan debt among these graduating seniors was $28,654. The average interest rate on student loans was 6.1%. How much interest did a student with $28,654 in student loan debt pay in the first year? Round to the nearest cent.
The interest paid for the loan is $1748
Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,
We need to find the interest paid for the same.
So,
Simple Interest = principal × time × rate / 100
= 28654 × 1 × 6.1 / 100
= 28654 × 0.061
= 1747.894
= 1748
Hence the interest paid for the loan is $1748
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Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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A marble is selected from a bag containing eight marbles numbered 1 to 8. The number of the marble selected will be recorded as the outcome. Consider the following events. Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
a) Event "A or B":
b) Event "A and B":
c) The complement of the event A.
A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
Step-by-step explanation:MAKE A PLAN:
List The OUTCOMES for EACH EVENT and their COMBINATIONS:
SOLVE THE PROBLEM:a) - EVENT "A": {2, 4, 6, 8}
EVENT "B": {3, 4, 5, 6}
EVENT "A" or "B": {2, 3, 4, 5, 6, 8}
b) - EVENT "A" or "B": {4, 6}
c) - The COMPLEMENT of the EVENT "A": {1, 3, 5, 7}
Draw the conclusion:A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
I hope this helps!
(3x2 + 10x + 3) by (x + 3)
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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Question 10 (1 point)
A
33
7 in.
B
C
The value of AB is,
⇒ AB = 5.9
(rounded to nearest tenth)
We have to given that,
A right triangle ABC is shown.
Now, By trigonometry formula,
we get;
⇒ cos 33° = Base / Hypotenuse
Substitute all the values, we get;
⇒ cos 33° = AB / 7
⇒ 0.84 = AB / 7
⇒ AB = 0.84 × 7
⇒ AB = 5.88
⇒ AB = 5.9
(rounded to nearest tenth)
Thus, We get;
AB = 5.9
(rounded to nearest tenth)
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I’m stuck on this question
Answer:
(4,2)
Step-by-step explanation:
The shape was moved...
4 units in the +x direction
and 2 units in the +y direction
Hence (4,2)
im falling asleep at the kitchen table bc i have not slept in 3 days and i cant go to bed until its 8 or 9 and its 5:56pm ughhh
Answer:
I hope u can sleep more
Step-by-step explanation:
Answer:
ohhhhhhh
Step-by-step explanation:
yea that sucks but why can't you go to bed until 8-9?????
How is the sum expressed in sigma notation?
22 + 27 + 32 + 37 + 42 + 47
Enter your answer by filling in the boxes.
the sum from i is equal to 1 to blank of open paren close paren$$
The sum of the arithmetic sequence is S = 207 and the summation notation is S = ∑i=1 to 6 ( 5n + 17 )
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic sequence be represented as A
Now , the value of A is
A = 22 + 27 + 32 + 37 + 42 + 47
The number of terms n = 6
So , the value of i ranges from 1 to 6
Now , the summation is represented as ∑i=1 to 6 ( 5n + 17)
when n = 1
S₁ = 5 ( 1 ) + 17 = 22
when n = 2
S₂ = 22 + 5 ( 2 ) + 17
S₂ = 22 + 27
when n = 3
S₃ = 22 + 27 + 5 ( 3 ) + 17
S₃ = 22 + 27 + 32
Hence , the sum of the arithmetic sequence is S = 207
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Will give more points
Answer: 18
Step-by-step explanation: To find the least common denominator for 9 and 6, notice that 9 factors as 3 · 3 and 6 factors as 3 · 2.
When finding the least common denominator, we want to find factors that pair up and you can see we have a 3 that pairs up in our list.
Now we multiply our 3 that pairs up by the other 3 that doesn't match up and the 2 that doesn't match up so we have 3 · 3 · 2 or 9 · 2 or 18.
This means our least common denominator is 18.
The principal was very _____ about the closed lunch policy and would not change his mind
Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
The 3rd one
Step-by-step explanation:
Answer:One Solution x=6
Step-by-step explanation:
4. What is the equation of the line?
Answer: y= -1/2x + 1
Step-by-step explanation:
The equation will be represented in slope intercept form because the line is not going through the origin.
Find two points on the line and use them to find the slope since we already know that the y-intercept is 1 because that is where the line intersects the y-axis.
The points (0,1) and (2,0) will be used to find the slope because it is on the line.
The slope will be the difference between the y coordinates divided by the difference of the x coordinates.
1- 0 = 1
0 - 3 = -2
Slope: -1/2
The equation will be y= -1/2x + 1
What are the x-intercepts of the graph below ?
Answer:
(3, 0)(-2, 0)Step-by-step explanation:
You want to identify the x-intercepts on the graph.
X-interceptAn "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.
The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...
(-2, 0) and (3, 0)
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Evaluate this exponential expression.8.(2+ 3)^2 – 4^2
We are given the following expression:
\(8.\mleft(2+3\mright)^2-4^2\)To solve the expression we will add the numbers inside the parenthesis:
\(8.(2+3)^2-4^2=8(5^2)-4^2\)Now we solve the squares:
\(8(5^2)-4^2=8(25)-16\)Now we solve the product:
\(8(25)-16=200-16\)Now we solve the operation:
\(200-16=184\)Therefore, the expression is equivalent to 184.
please answer the following question I will mark as best answer and thanks
Answer:
The value of g times 7 is 7
Step-by-step explanation:
It follows a pattern!
A motorcycle can be purchased for $9100 or leased for a down payment of $600 and $250 per month. Find a function that describes how the cost of the lease depends on time. Assuming that the monthly payments are made, how long can the motorcycle be leased before more than the purchase price has been paid?
The function that models the situation is p = [ ? } , where p is the amount paid on the lease in dollars and t is the time in months.
Okay, here are the steps to solve this problem:
* The purchase price of the motorcycle is $9,100
* The down payment on the lease is $600
* The monthly lease payment is $250
So to find the function that describes the total cost (p) in terms of time (t) in months:
p(t) = 600 + 250t
* The initial down payment is $600
* Each month, you pay $250
* So the total paid after t months is $600 + $250t
To find how long it will take to pay more than the purchase price:
600 + 250t > 9,100
250t > 8,500
t > 34
So in this case, it will take 35 months or slightly over 2 years of lease payments to exceed the purchase price of the motorcycle.
Does this make sense? Let me know if you have any other questions!
Answer:
p = 600 + 250t
t = 34
Step-by-step explanation:
To find a function that describes how the cost of the lease depends on time, we need to consider the initial cost and the monthly cost of the lease. The initial cost is the down payment of $600, which is paid once at the beginning of the lease. The monthly cost is $250, which is paid every month for the duration of the lease. Therefore, the total cost of the lease after t months is:
p = 600 + 250t
This is the function that models the situation. It is a linear function with a slope of 250 and a y-intercept of 600.
To find how long can the motorcycle be leased before more than the purchase price has been paid, we need to compare the cost of the lease with the purchase price of $9100. We need to find the value of t that makes p equal to 9100. We can do this by solving the equation:
p = 600 + 250t
9100 = 600 + 250t
Subtracting 600 from both sides, we get:
8500 = 250t
Dividing both sides by 250, we get:
t = 34
This means that after 34 months, the cost of the lease will be equal to the purchase price. Therefore, to pay more than the purchase price, the motorcycle must be leased for more than 34 months.
Here's a funny way to remember this:
Why did the motorcycle renter cross the road? To get to his monthly payment!
What do you call a motorcycle that costs more than its worth? A cycle-path!
How do you make seven an even number? Just remove the "s"!
(b) Suppose CG = 3 in., CH = 2 in. and GE = 5 in. Is it possible to find the length of DH? If so, show how
to find the length. If not, explain why not.
When CG = 3 in., CH = 2 in. and GE = 5 in. the information made available in the question is not enough to solve for DH
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Examining the figure, shows that lines GH and DE should be parallel to create similar triangles
For similar triangles the sides are proportional and this can be used to solve for DH using the equation below'
CG / CE = CH / CD
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The complete question is attached
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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