Answer:
0.8 miles
Step-by-step explanation:
0.2 x 4 = 0.8
Plz help!!!!!
ctc math
Answer:
7,13,37,55,103
Step-by-step explanation:
y = 5 + 2x^2
if x =1
y = 5 + 2(1)^2
1^2 = 1
2 x 1 = 2
y=5 + 2 or y = 7
you substatute each one in for x to solve for y
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 18 feet and a height of 17 feet. Container B
has a diameter of 20 feet and a height of 16 feet. Container A is full of water and the
water is pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of water in Container B, to the
nearest tenth of a cubic foot?
Answer:
Volume of Cylinder A is pi times the area of the base times the height
π r2 h = (3.1416)(4)(4)(15) = 753.98 ft3
Volume of Cylinder B is likewise pi times the area of the base times the height
π r2 h = (3.1416)(6)(6)(7) = 791.68 ft3
After pumping all of Cyl A into Cyl B
there will remain empty space in B 791.68 – 753.98 = 37.7 ft3
The percentage this empty space is
of the entire volume is 37.7 / 791.68 = 0.0476 which is 4.8% when rounded to the nearest tenth
.
When solved for x, which inequality represents the number line?
Answer:
x<-3
The value of x is found in all the numbers that are less than - 3 or all the numbers from - 3 to negative infinity
Please note: - 3 is not included in those numbers
oblem 1: Rates
Catie got a job at Pick and Save because she is saving
up for Driver's Ed. Catie is only allowed to work 18
hours per week.
The table to the left shows the relationship of how much
she earns based on the number of hours she works.
If she works all 18 hours, how much money will she
make? How do you know?
Answer:
there is no way of answering we need to know how much she earns so show us the table to the left
Step-by-step explanation:
A person invests 9500 dollars in a bank. The bank pays 6.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?
The person should leave the money in the bank for 14 years to reach $22600
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given a person invests, $9500 in a bank. The bank pays 6.25% interest compounded semi-annually.
Formula =
A = p\([1+(r/2)/100]^{2t}\)
22600 = 9500\((1+6.25/200)^{2t}\)
2.38 = \((1.03125)^{2t}\)
log2.38 = 2t log1.03125
2t = log2.28/ log1.03125
2t = 28.17
t = 14.08 ≈ 14
Hence, The person should leave the money in the bank for 14 years to reach $22600
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I WILL GIVE 20 POINTS IF THE ANSWER IS CORRECT AND A GOOD EXPLANATION
The surface area of a cylinder is equal to 208π square units.How to calculate the surface area of right cylinder?The surface area is the sum of the areas of all faces of the solid. In the case of a right cylinder, the surface area is the sum of the two areas of the circular base and the lateral area (A), in square units, whose formula is described below:A = 2π · r² + 2π · r · h (1)Where:r - Base radiush - HeightIf we know that r = 8 and h = 5, then the surface area of the right cylinder is:A = 2π · 8² + 2π · 8 · 5A = 208πThe surface area of a cylinder is equal to 208π square units.
Jack brought a lunch box for $8 and 7 forks. He spent a total of $105. How much did each fork cost?
Answer:
13.85$
Step-by-step explanation:
105$-8$=97$
97$/7$=13.85$
Answer: About $13.86
Step-by-step explanation: To find how much the cost of the forks is, we need to subtract the value of the lunch box from the total cost, because we don't need to find the value of the lunch box. So:
105 - 8 = 97
So, now since he bought 7 forks, we need to divide 7 by 97. So:
97 / 7 = 13.857142857142858
So, we need to round to the nearest cent. So, the 7 is greater than 5, so we round up. So, we have $13.86 each. So, check, we do:
13.86(7) + 8
97.02 + 8
= 105.02
This is the closest he can buy for each fork is ABOUT $13.86. I hope this helps ;)
as it reaches the point (1, 5), the y-coordinate is increasing at a rate of 4 cm/s. how fast is the x-coordinate of the point changing at that instant?
The rate of increase of the y-coordinate as it approaches the point (1, 5) is 4 cm/s.At that instant, the x-coordinate of the point is not changing; it is staying at 1.
When a point reaches a certain coordinate, it means that the point is not changing anymore. In this case, the point has reached the coordinate (1, 5), which means that the x-coordinate (1) is not changing, while the y-coordinate (5) is increasing at a rate of 4 cm/s. Therefore, the x-coordinate of the point is not changing at that instant.
x = 1
Rate of Change (x-coordinate) = 0 cm/s
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is 9/36 greater than 8/1
Answer:
No it's not
Step-by-step explanation:
The reason is because 8/1 becomes a whole number unlike the other.
Let n be an integer. Prove that n^2 is divisible by 3 if and only if n is divisible by 3. (The "if and only if" part means that you have to prove two directions: if n^2 is divisible by 3 then n is divisible by 3 and if n is divisible by 3 then n^2 is divisible by 3.)
The proof has two parts.
If n^2 is divisible by 3, then n is divisible by 3.If n is divisible by 3, then n^2 is divisible by 3.The next two sections will handle each part separately.
====================================
Part 1: If n^2 is divisible by 3, then n is divisible by 3
Apply the contrapositive to get the statement "if n is not divisible by 3, then n^2 is not divisible by 3".
If we can prove the contrapositive is true, then the original conditional is true as well.
Let n be some non-multiple of 3. This would mean either n = 3k+1 or n = 3k+2 for some integer k.
n = 3k+1 gives remainder 1, and n = 3k+2 gives remainder 2.
Let's square both sides of the first equation.
n = 3k+1
n^2 = (3k+1)^2
n^2 = 9k^2 + 6k + 1
n^2 = 3(3k^2+2k)+1
n^2 = 3*(some integer) + 1
We've shown that n = 3k+1, stuff giving remainder 1, leads to n^2 giving the same exact remainder. Therefore, n^2 is also a non-multiple of 3 when we have n = 3k+1.
If n = 3k+2, then,
n^2 = (3k+2)^2
n^2 = 9k^2 + 12k + 4
n^2 = 9k^2 + 12k + 3 + 1
n^2 = 3(3k^2+4k+1)+1
n^2 = 3*(some integer) + 1
We get the same result here as well. Interestingly, we arrive at the same "remainder 1" and cannot reach a remainder 2 with either n = 3k+1 or n = 3k+2.
Examples:
n = 7 gives remainder 1 when dividing by 3, while n^2 = 49 gives remainder 1.n = 8 gives remainder 2, and n^2 = 64 gives remainder 1.We have proven that if n is not divisible by 3, then n^2 is also not divisible by 3.
This therefore proves the original statement "if n^2 is divisible 3, then n is divisible 3" when using the contrapositive.
====================================
Part 2: if n is divisible by 3, then n^2 is divisible by 3.
For this part we know that n is a multiple of 3.
Let k be some integer, so we have n = 3k
Square both sides and do a bit of rearranging to pull out a 3
n = 3k
n^2 = (3k)^2
n^2 = 9k^2
n^2 = 3(3k^2)
n^2 = 3*(some integer)
This proves that n being a multiple of 3 leads to n^2 also being a multiple of 3. Example: n = 18 and n^2 = 18^2 = 324 are multiples of 3.
A way to check if we have a multiple of 3 is to add the digits: 1+8 = 9 and 3+2+4 = 9, those sums are multiples of 3.
====================================
Both parts have been proven, so the proof is fully concluded.
We've shown that n^2 is divisible by 3 if and only if n is divisible by 3.
Equivalent statements:
"n^2 is a multiple of 3 if and only if n is a multiple of 3.""3 is a factor of n^2 if and only if 3 is a factor of n."Please help for a 50/50 chance of getting Brainliest ^^
Answer:
you are right with b
Step-by-step explanation:
Answer:
Hello Asuna here
Your answer is B
Step-by-step explanation:
Hope this helps
The table shows how many of each type of movie are being shown at a theater.
Type Number
Thriller 222
Action 555
Drama 444
Comedy 333
What is the ratio of action movies to dramas?
Choose 1 answer:
Answer:
ratio is 5isto 4 byan action and drama
13 < -2x + 5
ps: the “<“ has a _ under it i can’t type that but yeah , I really need help
Answer:
x<-4
Step-by-step explanation:
To solve this problem, follow these steps:
1. Subtract 5 from both sides.
13<-2x+5
13(-5)<-2x+5(-5)
2. Simplify.
(8)<-2x+5-5
3. Subtract the 5's. And bring down the new equation.
8<-2x+5-5
8<-2x
4. Divide -2x on both sides.
8/-2<-2x/-2
5. Simplify and cancel out the -2's.
-4<x
6. Move the variable to the left and flip the inequality.
x<-4
Evaluate the function: f (x)=4x-1. Find f (5)
Answer:
f(5)= 4(5)-1
=20-1
=21
The evaluated value of f(5) is 19, which is determined by performing the arithmetic operations.
The linear function is given as follows:
f(x) = 4x - 1
To evaluate the function f(x) = 4x - 1 and find f(5), we substitute x = 5 into the function.
f(5) = 4(5) - 1
= 20 - 1
= 19
Therefore, f(5) is equal to 19.
The function f(x) = 4x - 1 represents a linear equation. In this case, when x is equal to 5, the value of f(x) can be calculated by substituting x = 5 into the equation.
By performing the necessary arithmetic operations, we find that f(5) is 19.
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Divide: 15m^2n + 20mn/5mn
Geometry trig Help !
Answer:
12.02ft
Step-by-step explanation:
the diagram is explanatory
I hope it helps
Answer:
The angle of elevation is 25.8°
Step-by-step explanation:
hypotenuse = 40; adjacent = 36 . The angle of elevation is between the 40 and 36 or the elevation from the street.
Cos x = 36/40 cos x = adjacent ÷hypotenuse
\(cos^1(x) = \frac{36}{40}\)
\(cos^1(x) = .9\) Use the calculator: TI ( 2ndcos(.9) enter
\(x = 25.84\)
x ≈ 25.8°
Jose is looking up at a flagpole.
• He is standing 40 ft from the flagpole. • He can see the top of the pole at a 35 degree angle of elevation
• His eyes are 5 ft from the ground.
What is the total height of the flagpole? Round to the nearest tenth of a unit if necessary.
(trigonometry)
The total height of the flagpole on the basis on the information given that Jose is standing at a distance of 40 ft from flagpole, angle of elevation is 35° from his eyes which are at height of Jose is 5 ft is 33 ft with the help of trigonometric-ratios.
What are trigonometric-ratios?
Greek is the language of measurement, and the word "metric" is Greek for triangle. The trigonometric ratios are particular measures of a right triangle, which is a triangle having a 90° angle. The legs are the two sides of a right triangle that are linked at the right angle, while the hypotenuse is the third longest side.Trigonometric ratios are the ratios of the sides of a right triangle. The sine, cosine, tangent, secant, cosecant, and cot are six trigonometric ratios.
Consider the ΔECD,
AB=EC=40 ft
∠E=35°
EA=BC=5ft
tan A =\(\frac{side opposite to the angle}{side adjacent to the angle\\}\)
tan 35=\(\frac{CD}{EC}\)
0.7002=\(\frac{CD}{40}\)
CD= 0.7002 x 40
CD=28.008
CD≈28 ft
Total height of flagpost=BD
BD=BC+CD
BD=EA+CD
BD=5+28
height of falgpole=33 ft
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What is the sign of the third term of the expansion of (x - y)n for n = 3, 4, and 5?
Cⁿ₁ is always positive, then the second term has negative sign.
What does binomial expansion mean?
Theorem that states that any power of a binomial (a + b) can be expanded as a specific sum of products (aibj), such as (a + b)2 = a2 + 2ab + b2.
The i-th term of the binomial expansion \((x- y)^{n}\)
Ti = nCi - 1 . (x)ⁿ+¹⁺i . (-y)i - 1
For any n, when i=2,
T₂ = nC₂₋₁ . xⁿ⁺¹⁻² . (-y)²⁻¹ = -Cⁿ₁ xⁿ⁻¹ . y
Given that is consistently positive, the second term has a negative sign.
Cn1 is consistently positive, and the second term is always negative.
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how to find cp if loss and sp are given
Step-by-step explanation:
\( \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }\) !
When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
✰ \( \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}\)
\( \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: \) ?
We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
⟶ \( \text{CP - SP = Loss}\)
Move SP to right hand side and change it's sign :
⟶\( \text{CP = Loss + SP}\)
This is how , CP can be obtained when we are given loss and SP.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# \( \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}\) !!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
help pls! i dont understand!!
Answer:
d -2+5
Step-by-step explanation:
Answer:
I think it would be -2 +5
Step-by-step explanation:
Since one of the lines is going from 0 to -2, one number would be negative 2. Then, since the other line is going from -2 to 3 that would be a total of 5 points. I believe the answer would be -2 + 5.
Sorry if it's wrong
Have a good day
Our school has 564 students. If each class contains 23 students what percent of the student body is in your grade?
Answer:
4%
Step-by-step explanation:
23÷564 is .04 which in percentage form is 4%
hope this helps
HELP ME PLEASE I don’t know
8) A plum grower finds that if she plants 26 trees per acre, each tree will yield 126 bushels of plums. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest and what is the maximum harvest?
The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.
The yield of each tree can be represented by the equation:
Yield = 126 - 2x
The total yield per acre is then given by:
Total Yield = (26 + x) * (126 - 2x)
To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.
Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:
d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0
Simplifying the equation, we get:
-4x + 252 - 52 - 2x = 0
-6x + 200 = 0
x = 200/6
x ≈ 33.33
Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.
To find the maximum harvest, we substitute the value of x into the equation for the total yield:
Total Yield = (26 + 33) * (126 - 2 * 33)
Total Yield ≈ 59 * 60
Total Yield ≈ 3540 bushels
Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
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This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Select the correct choices to complete the sentence.
TICKETS Jamal has $40 to buy tickets to a performance for himself and his friends. If he buys a $10 membership, he can buy tickets for $5 each. How many tickets can he buy while remaining within his budget?
Part A
If x represents the number tickets Jamal purchases, write an inequality that represents the situation.
, 1 of 4.
Select Choice
+, 2 of 4.
Select Choice
x , 3 of 4.
Select Choice
, 4 of 4.
Select Choice
Part B
Select the correct choices to complete the sentence.
Part B
Solve the inequality.
x , 1 of 2.
Select Choice
, 2 of 2.
Select Choice
Within his budget, he can still purchase 6 tickets. The inequality is 40 < 5x + 10.
Unitary method: what is it?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
In light of the query
With his $40, Jamal may get tickets for himself, his friends, and a show.
If he spends $10 to join a membership,
Money remaining = $40 - $10 = $30
Now he may purchase the ticket at $5 apiece.
Now, tickets that he may purchase while staying within his budget found using utilizing the unitary technique.
Tickets= $30 / $5
Tickets = 6
As a result, he may purchase the remaining 6 tickets for his budget.
A:
Number of tickets = x
Hence, the inequality is 40 < 5x + 10.
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I need help, please?
Answer:
The answer is 21
Step-by-step explanation:
6+6 bc the other side is the same as the one that has 6. 6+6+9=21
Line 1: y-c=ax
ay=-x-b
ax+y=d
Which of these are parallel or perindicular
The equations y - c = ax, ay = -x - b, and ax + y = d all represent lines that are parallel to each other. Their slopes are equal or negative reciprocals of each other
The equations y - c = ax, ay = -x - b, and ax + y = d can all be represented in the form y = mx + b, where m is the slope of the line. Lines are parallel if their slopes are equal, and perpendicular if their slopes are negative reciprocals of each other.
Analyzing the equations:
1. y - c = ax
This equation is in the form y = ax + c. The slope of this line is a, so any other line with the same slope 'a' will be parallel to this line.
2. ay = -x - b
Rearranging this equation, we have y = -(1/a)x - (b/a). The slope of this line is -(1/a), so any other line with a slope of -(1/a) will be parallel to this line.
3. ax + y = d
Rearranging this equation, we have y = -ax + d. The slope of this line is -a, so any other line with a slope of -a will be parallel to this line.
To determine perpendicularity, we need to check the slopes. If the slopes of two lines are negative reciprocals of each other, then they are perpendicular.
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Select all ordered pairs that satisfy the function
(-3, -1)
(-2, -1)
0 (
33)
pLEASE HELP me this is due today and dont post links plz?
Answer:
35
Step-by-step explanation:
Add them together and then divide
Answer:
b + b + h + h
Step-by-step explanation:
You are finding the perimeter of the given rectangle. Note that by definition of a rectangle, the opposite parallel sides will have the same measurement. In this case, Terrance gives the expression of 2b + 2h, and so simply just expand the expression:
2b + 2h = b + b + h + h
~
I need help with angles!!!!!!!!
Answer:
A. <DEC and <AEB
Step-by-step explanation:
Angles AEB and DEC are vertical angles.
Answer:db
Step-by-step explanation:
This is hard so help meh my teacher just randomly posted this
And wrote my name “assignment for (my name)” so help mehhh
Answer:
i don't know uhhhhhhhhhh do what ever you heart says