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?
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.
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.
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!
What is the slope-intercept equation of the line (easy?)
Brainliest if right
Answer:
y = 1x + 2
Step-by-step explanation:
did i get it right?
Answer:
[tex]y=\frac{3}{4} x+2[/tex]
Step-by-step explanation:
y=mx+b
We have two points (0,2) and (4,5).
2=m(0)+b --> So b=2
5=4m+2
4m=3
m=[tex]\frac{3}{4}[/tex]
[tex]y=\frac{3}{4} x+2[/tex]
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
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
(9x2 – 8) + (9x2 + 9x + 3)
Answer:
18x2 +9x -5
Step-by-step explanation:
combine like terms
use the function below to find f(-2).
f(x)=3^x
hi
f(x) = 3^(x) so (f-2) = 3^(-2) = 1/ 3² = 1/9
Answer: 1/9
Step-by-step explanation:
two shapes that represent the cross-sections
Answer:
it's the square and the rectangle
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 :)
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.
Learn more about similar triangles here: https://brainly.com/question/2644832
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I WILL GIVE BRAINLIEST. I NEED ANSWER ASAP.
I believe it is C :)
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
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]
what number do these base ten blocks show
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!!
For the month of June, a music supply company is promoting the launch of its electronic music club by offering new members two options for downloading music.
Option #1: Annual club membership at a fee of $125 per year plus an option of prepaying for unlimited music downloads at a rate of $10 per month.
Option #2: Annual club membership at a fee of $50 per year plus an option of prepaying for music downloads at a rate of $1 per song.
You decide to join the electronic music club for one year, but aren’t sure which membership option is best suited for your music downloading needs. Review both options that the music supply company is offering for its new club members. Use the information provided to respond to the following prompts. When necessary, answer in complete sentences and include all calculations.
Write a function that best models the total cost of club membership plus downloads under option #1.
For membership option #1, calculate the total cost for one year of club membership and prepaid unlimited music downloads.
Write a function that best models the total cost of club membership plus downloads under option #2
Calculate the maximum number of music downloads that you will have with one year of club membership under option #2 for the same annual cost of a membership with unlimited downloads.
Over the past year, you downloaded an average of 14 songs per month. Assuming that for the next year, you continue to download music at the same rate per month, which membership option is most cost effective?
Answer:
six points for all this ? HAHAHAHAHA LFMAO
Step-by-step explanation:
Patty is inviting her friends to a party. She has 30 snack bars 45 juice boxed, and she wants to give the same number of each item to each friend.
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.
I need help on this question can you tell me what the blanks are pls
Answer:
sorry I wish I can help you
Step-by-step explanation:
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°
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:
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
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).
Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 3 1 1 3 -1 5 -3
Answer:
y = - x + 2Step-by-step explanation:
Points given:
(-1, 3), (1, 1), (3, -1), (5, -3)Slope-intercept form:
y = mx + bFinding the slope using slope formula and the first two points:
m = (1 - 3)/(1 - (-1)) = -2 / 2 = -1Finding y-intercept using the slope and the first point:
3 = (-1)*(-1) + b3 = 1 + bb = 3 - 1b = 2So the equation is:
y = - x + 2Two 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 dressmaker needs to cut 6-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 6-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?
Answer:
Step-by-step explanation:
Answer:
60 pieces
Step-by-step explanation:
What we know:
There are 12 inches in a foot
There are 5 6-feet lengths of ribbon
So, we simply need to multiply.
Since there are 12 inches in a foot, and we only need 6 inches for each one, we can see that she makes 2 pieces for each foot.
Multiply
2*6=12
She makes 12 pieces for each length of ribbon.
Now multiply it by 5
12*5= 60
She can make 60 pieces from 5 of these length of ribbon.
Hope this helps!
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 ∈ (- ∞, ∞)
To know more about inequality:
https://brainly.com/question/2038369
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