nth term of a sequence is n(n+1) what term is 240? is 55 a term in the sequence?
Answer:
a₁₅ = 240 55 is not term in the sequenceStep-by-step explanation:
[tex]n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15[/tex]
if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number
The product of numbers where one of them is even will always be even.
55 is odd number so it is not term of this sequence.
From a room temperature of 42 degrees, the temperature dropped by 20 degrees, then rose by 75 degrees and finally dropped by 1 degree. What is the temperature after the given changes?
(9x2 – 8) + (9x2 + 9x + 3)
Answer:
18x2 +9x -5
Step-by-step explanation:
combine like terms
Andrew Filled a measuring cup with 7/8 of a cup of olive oil then he poured 1/2 of a cup of the oil into a bowl. How much oil is left in the measuring cup
Answer:
3/8
Step-by-step explanation:
Andrew filled a measuring cup with 7/8 of olive oil
He poured 1/2 of the oil into a bowl
Therefore the amount of oil that will be left can be calculated as follows
= 7/8 - 1/2
= 3/8
Hence 3/8 oil will be left
Solve for x.
-18x + 21 > -15 OR 20x – 13 >27
Answer:
C
Step-by-step explanation:
-18x + 21 > -15 /// x = 2
20x – 13 >27 /// x = 2
The solution of inequality -18x + 21 > -15 OR 20x – 13 > 27 is x ∈ (- ∞, ∞), so option E is correct.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.
Given:
-18x + 21 > -15 or 20x – 13 >27
Solve the first inequality as shown below,
-18x + 21 > -15
-18x + 21 - 21 > -15 - 21 (Subtract 21 from both sides)
-18x > -36
-18x / -18 > -36 / -18 (Divide by -18 into both sides, the inequality sign changes as the value will become positive)
x < 2
Similarly, solve the second inequality,
20x – 13 > 27
20x > 40
x > 2
Thus, the solution will be x < 2 ∪ x > 2 or x ∈ (- ∞, ∞)
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The following formula is for the area, A, of the curved surface area of a cone. A = pie x r x l, where r is the radius and l is the slant height of the cone.
Calculate the total surface area of a cone with radius 6cm and slant height 13cm
I WILL GIVE BRAINLIEST. I NEED ANSWER ASAP.
I believe it is C :)
Simplify this expression
Answer:
[tex]\frac{x^{2} }{576y^4}[/tex]
Step-by-step explanation:
Anything to the power of 0 becomes the number 1
[tex]-3x^3\\2(36x^2y^2 )\\\\-x\\2*12y^2\\\\-x^2\\24^2y^2*^2\\\\x^2\\576y^4[/tex]
The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?
Answer: The highest recorded temperature was 38 degrees.
Step-by-step explanation:
Given: The coldest temperature last December was –18.24 degrees.
Difference between this and the highest recorded temperature=
56.24 degrees
The highest recorded temperature = coldest temperature + difference
= -18.24+56.24 degrees
= 38 degrees
Hence, the highest recorded temperature was 38 degrees.
Substitute to solve
Brainliest for correct answer
Answer:
4x-1y=3xy
Step-by-step explanation:
because 3-2=1 and add the y on and the do 4x-1y and that will = 3xy
Answer:
x=4, y=6
Step-by-step explanation:
hope that helps :)
Find the value of x that makes m || n. Explain.
Answer:
Step-by-step explanation:
x=120/3
x=40
Answer:
40
Step-by-step explanation:
if m||n then 3x must be equal to 120°
120° = 3x divide both sides by 3
40 = x
It costs $7.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental. After 5 hours, the cost decreases to $5.75 per hour.
How much would it cost to rent a kayak for 6 hours?
Answer:
$41.50
Step-by-step explanation:
multiply $7.15 by 5 for every hour then add the $5.75 to show how it decreased which will give you $41.50 for 6 hours
Answer:
$35.90
Step-by-step explanation:
(5.75 • 5) + 7.15
= (5 • 5) + (0.75 • 5) + 7.15
= (25 + 3.75) + 7.15
= 28.75 + 7.15
= (28 + 7) + (0.75 + 0.15)
= 35 + 0.90
= $35.90
Hope this helps! :)
Write the equation that represents a 15% increase of $120.
Answer:
$138
Step-by-step explanation:
if 100 is 15 then you add 1.15 or 1% of 15
What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)?
y - 2 = 0
y - x - 2 = 0
x - 2 = 0
9514 1404 393
Answer:
y - 2 = 0
Step-by-step explanation:
The given coordinates both have y=2, so the desired line is ...
y = 2
In general form, that would be ...
y - 2 = 0
Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x?
9514 1404 393
Answer:
it is application of the multiplication property of equality
Step-by-step explanation:
You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.
For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.
[tex]\dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}[/tex]
__
Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.
[tex]\dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}[/tex]
Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
1. x = 66
2. C
3. C. 2000
Step-by-step explanation:
1. The first question is x = 66 because to get rid on the fraction you multiply both sides by 4. This leaves you with x + 2 = 68 (minus 2 on both sides) this gives you x = 66.
2. C. Commutative
3. 2000
Plug in
125 = (5)(.0125)(2000)
125 = 125
Hope this helps ya!!
What is the value of x?
Enter your answer in the box.
Answer:
111°
Step-by-step explanation:
The polygon given is a heptagon having 7 sides.
Sum of interior angles of a 7-sided polygon = (n - 2)*180
= (7 - 2)*180
= 5*180 = 900°
Therefore:
126° + 158° + 120° + 125° + 121° + 139° + x° = 900°
Solve for x
789° + x° = 900°
Subtract 789 from each side
x = 900° - 789°
x = 111°
help please #16 already found x can’t figure out y
Answer:
x=26 y=137
Step-by-step explanation:
5x-17+3x-11=180
8x=208
x=26
2y+5+3x-11=180
2y+5+(3*26)-11=180
2y=274
y=137
x + 16 = 9z
Help please
Answer:x=9z + 16
z= x/9 + 16/9
Step-by-step explanation: dont know if i solve for x or z so i did both subtract 16 from both sides for x
Isolate the variable by dividing each side by factors that don't contain the variable. for z let me know if u need help
Answer:
Hallooooooo
Step-by-step explanation:
HELP PLEASE PICTURE EXPLAINS EVERYTHING!!!!
Answer:
(a) Slope of Line 1 = 3
Slope of Line 2 = 3
Slope of Line 3 = -1/3
(b)
Line 1 and Line 2 = Parallel
Line 1 and Line 3 = Perpendicular
Line 2 and Line 3 = Perpendicular
Step-by-step explanation:
Please mark as brainliest! Thanks! Hope this helps!
A florist delivers flowers to anywhere in town. D is the distance from the delivery address to the florist shop in miles. The cost to deliver flowers, based on the distance d, is given by C(d) = 0.04d^3 - 0.65d^2 + 3.5d + 9. Evaluate C(d) for d = 6 and d = 11, and describe what the values of the function represent
A. C (6) = 15.24; C 11 = 22.09.
C (6) represents the cost, $15.24, of delivering flowers to a destination that is 6 miles
from the shop.
C (11) represents the cost, $22.09, of delivering flowers to a destination that is 11 miles
from the shop.
b.
Answer:
The distance between the library and the florist’s shop is the length of CD . The endpoints of this line segment are C(3, 4) and D(3, -3). Because the x-coordinates of both points are the same (3), the length of CD can be found by subtracting the smaller y-coordinate from the greater y-coordinate: CD = 4 – (-3) = 4 + 3 = 7 units. The distance between the library and the florist’s shop is 7 blocks.
Step-by-step explanation:
Find the area of this parallelogram.
Answer:
area of parallelogram=base×height=21×9=189cm²
Check the box labeled Show Segment Parallel to BC. Notice that DE intersects two sides of triangle ABC creating a smaller triangle, triangle ADE. How is triangle ADE related triangle ABC to ? How do you know?
Answer: Since corresponding angles of parallel lines cut by a transversal are congruent, ADE = ABC and AED = ACB. So, based on the AA criterion for similarity, ABC ~ ADE.
Step-by-step explanation: Sample answer from Edmentum! Hope It helps :)
The triangle ADE is similar to the triangle ABC.
What is a similar triangle?Similar triangles are triangles whose corresponding lengths are not equal to each other, but their corresponding angles are equal.
The relation between triangle ADE and ABC is shown below:It is given that the line segment DE is parallel to BC.
Since it is parallel to each other, we can say that the angles formed on both the line segments are equal to each other since they are corresponding angles. Angle A is common to both the triangles.
Therefore, we can say that the two triangles are similar because all the angles are the same in each triangle.
Therefore, we have found out that the triangle ADE is similar to the triangle ABC.
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Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.
Replace the values of hand kto create the equation of the transformed function.
Answer: h = 4 and k = 1
Step-by-step explanation:
Just took the test aye
50 POINTS PLEASE HELP
Stephano solved this inequality, but the solution does not work when he checked his answer. In which step did he go wrong? Explain.
-4s + 5 ≤ 16
\frac{-4s + 5}{-4} ≥ \frac{16}{-4}
s + 5 - 5 ≥ -4 - 5
s ≥ -9
Answer: 2nd step
Step-by-step explanation:
(-4s+5 )/-4 ≥ 16/-4
S-(5/4) ≥ -4
S ≥ -4+(5/4)
S ≥ 1/4
y = 4x + 12
What is the x - intercept?
Answer:
The x-intercept is -3
Step-by-step explanation:
So what you need to do is just graph this like any other equation
Start and (0, 12) and make a point
Then the slope is 4 so go up 4 and right 1 and keep doing that.
Then go the opposite direction so down 4 left 1
After that see where the line hits the x-axis, in this case, its (-3, 0)
So the x intercept is -3 or (-3, 0)
Pls mark brainliest because i didn't waste your time lol
Answer: (-3, 0)
Step-by-step explanation: If you want to find the x- intercept for y = 4x + 12, you’ll have to plug y = 0 into the equation and solve the resultint equation 0 = 4x + 12 for x. [0 = 4 x -3 + 12]. Hence, x = -3, so the x - intercept is (-3, 0).
How many solutions does 33x+99=33x-99 have
Answer:
No real solutions
Step-by-step explanation:
If you rearrange the equation:
33x - 33x = -99 - 99
0x = -198
Anything divided by zero is undefined/no real solution
Answer:
0
Step-by-step explanation:
33x + 99 = 33x - 99
→ Minus 99 from both sides
33x = 33x - 198
→ Minus 33x from both sides
0x = 198
Two marathon runners run the full distance of the marathon, approximately 26 miles, in 4 hours.
Part A
About how many miles did they run in 1 hour?
Enter the correct answer in the box. Part B
What percent of the full distance have they run in 1 hour?
Enter the correct answer in the box.
Answer:
6.5 miles in 1 hour and they will run 75% of the full distance in 1 hour.
Step-by-step explanation:
The distance covered by two marathon runners = 26 miles
They takes 4 hours
We need to find how many miles did they run in 1 hour
In 4 hour, the distance covered is 26 miles
To find distance covered in 1 hour, divide 26 by 4 such that.
[tex]d=\dfrac{26}{4}\\\\d=6.5\ \text{miles/hour}[/tex]
So, they will cover 6.5 miles in 1 hour.
For percentage,
[tex]\%=\dfrac{26-6.5}{26}\times 100\\\\=75\%[/tex]
So, they will run 75% of the full distance in 1 hour.
A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.
Which describes the motion of the box based on the resulting free-body diagram?
A. It is moving up with a net force of 20 N.
B. It is moving to the right with a net force of 10 N.
C. It is in dynamic equilibrium with a net force of 0 N.
D. It is in static equilibrium with a net force of 0 N.
Answer:
It is in static equilibrium
Explanation:
edge 2021
The box is in static equilibrium, with a net force of 0 N.
Option D is the correct answer.
What is static equilibrium?Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.
In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.
We have,
The box is at rest and is not moving.
This means that the net force acting on the box is zero.
From the free-body diagram,
We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.
Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.
So,
The box is in static equilibrium, with a net force of 0 N.
Thus,
The box is in static equilibrium, with a net force of 0 N.
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Sara halves it and gets an answer of 34.3. What was the original number?
please help me im doing hegarty maths and I dont know what is this answer please help me