Answer:
A
Step-by-step explanation:
The two sentences relate like They establish a contrast. As American Sleep Disorders Association is considering the teenager sleep and adult sleep.
What is sleeping disorder?
Sleep Disorders are mostly common nowadays as people are more busy in their scheduling, they don't get proper and sufficient time to sleep. This creates many problems in the human body.
The common type of sleeping disorder are insomnia, restless toughnesses' syndrome, narcolepsy and sleep apnea.
Thus, option A is correct.
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Prism L has length 8 cm.
Prism M has length 20 cm.
Prism M has a volume of 1875 cm3
Work out the volume of prism L.
The volume of prism L is 750 cm³
What is a prism?A prism is a three-dimensional solid, that has two identical bases, rectangular or parallelogram-shaped faces, and the same cross-section.
The formula for the volume of a prism is V=Bh,
where B = base area and h = height.
We have,
Two similar prism
Prism L:
Length = 8 cm
Prism M:
Length = 20 cm
Volume = 1875 cm³
Applying the volume formula:
V = Bh
Base area = Length x width
1875 = Length x width x height
1875 = 20 x width x height
Width x height = 1875 / 20 = 93.75 _______(1)
Since prisms are similar we can use (1) in finding the Volume of prism L.
The volume of prism L:
= Length x width x height
= 8 x 93.75
= 750
Thus the volume of prism L is 750 cm³
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The complete question is:
L and M are two mathematically similar prisms.
Prism L has a length 8 cm.
Prism M has a length 20 cm.
Prism M has a volume of 1875 cm3
Work out the volume of prism L.
Use the given equation to determine if the points in the brackets are on the graph
of the line determine by the equation 4x- 3y=-6
{(0,2),(1,3),(4,7),(6,10)}
The points in the brackets are on the graph are (0, 2) and (6, 10)
How to determine if the points in the brackets are on the graph?The equation of the line is given as
4x - 3y = -6
The points are given as:
{(0,2),(1,3),(4,7),(6,10)}
Rewrite as
(x, y) = {(0,2),(1,3),(4,7),(6,10)}
Next, we substitute the x and y values in the equation 4x - 3y = -6
So, we have
(0, 2):
4(0) - 3(2) = -6
-6 = -6 ---- true
(1, 3):
4(1) - 3(3) = -6
-5 = -6 ---- false
(4, 7):
4(4) - 3(7) = -6
-5 = -6 ---- false
(6, 10):
4(6) - 3(10) = -6
-6 = -6 ---- true
Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)
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At a rate of 42 miles per hour, it takes Henry 9 minutes to drive from the library to his house. Show how to find the distance that Henry traveled.
Jill sold half of her comic books
and then bought seventeen
more. She now has 31. With how
many did she begin?
well, she really began with "x" total.
then she sold half of that, so hmmm 1/2 of "x" is just x/2 and she's left with half, so she sold x/2 and she was left only with x/2, and then she bought 17 more, we also know that she has 31 now, so
[tex]\stackrel{\textit{leftover}}{\cfrac{1}{2}x}~~ + ~~\stackrel{\textit{more bought}}{17}~~ = ~~\stackrel{\textit{now she has}}{31}\implies \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left(\cfrac{x}{2}~~ + ~~17 \right)~~ = ~~2(31)}\implies x+34=62\implies \LARGE \begin{array}{llll} x=28 \end{array}[/tex]
How many distinguishable permutations can be formed from the letters in the word sassafras
In the word "SASSAFRAS", there 2520 permutations can be formed.
Permutation :A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
The order of arrangement in permutation is in linear form.
In the given word is “SASSAFRAS”. There are total 9 letters in which some letters appears several times, that is
S = 4 times.
A = 3 times.
F = 1 times.
R = 1 times.
We can the number of permutation to arrange this letter with the help of :
nPr = n! / (n - r)!
nPr = Permutation
n = Total number of objects
r = Number of objects selected
'!' = Factorial
Factorial :
Factorial (noted as “!”) is the product of all positive integers less than or equal to the number preceding the factorial sign. For example, 3! = 1 x 2 x 3 = 6.
So, nPr = 9!/(4!) (3!) (1!) (1!)
= (9×8×7×6×5×4×3×2×1)/(4×3×2×1)×(3×2×1)×(1)×(1)
= 3,62,880/ 24×6×1×1
= 3,62,880/144
= 2,520
Hence, 2520 permutations can be formed from the word 'SASSAFRAS'.
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There are 38 pencils in the drawer. Sam took 24
pencils from the drawer. How many pencils are now in the drawer ?
Answer: 14
Step-by-step explanation:
Thomas records the masses of several rocks as 7.40 g, 7.85 g, 7.60 g, and 7.40 g. what is the mode of thomas’s data set? 0.45 7.40 7.55 7.60
By observation or by inspection, 7.40 appears the most, thus mode.
What Is the Mode?The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Data can be disseminated in statistics in a number of different ways. The traditional normal (bell-curve) distribution is the one that is referenced the most. The midpoint of this distribution, as well as some others, coincides with the peak frequency of observed values and is where the mean (average) value is located.
The mean, median, and mode all have the same values for such a distribution. This indicates that this value—the one that appears the most frequently in the data—is the average value, the middle value, and the mode.
When analyzing categorical data, such as automobile models or soda taste varieties, where a mathematical average median value based on ordering cannot be computed, mode is most helpful as a gauge of central tendency.
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An appliance store is having a liquidation where everything in the store is 70% off the regular price. what is the price of a dishwasher that is regularly $519.89? a. $36.39 b. $70.00 c. $155.97 d. $363.92 please select the best answer from the choices provided a b c d
With 70% off the regular price, a dishwasher, regularly priced at $519.89, will be $155.97 only. The answer is C.
Discount is the deduction in the price of a good or service. When this reduced price is expressed in percentage then we call it a discount rate.
If the discount is given in percent, then the amount of discount can be found by using the formula:
Amount of Discount = Regular Price × Rate of Discount
If the regular price of a dishwasher is $519.89, and the discount rate is 70%, using the formula, solve for the discount value.
Amount of Discount = $519.89 x 70%
Amount of Discount = $519.89 × 0.70
Amount of Discount = $363.92
To get the final price of the dishwasher, subtract the discount value from the original or regular price.
price = $519.89 - $363.92
price = $155.97
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Please help due in less than an hour
Answer: 1: (0,-5) 2: (0.5,1) 3: (1.5, -4.5) 4: (-2.5,-0.5)
Step-by-step explanation:
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
Answer:
-1
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (-1 - 4)/(2 - (-3)) = -5/(2 + 3) = -5/5 = -1
help with this question please! show word needed!
Answer: u = 80° v = 25°
Step-by-step explanation:
(a) angles on a straight line = 180° - 130° = 50°
In isosceles triangle, both angles on each side is equal, so
180° - 50° - 50° = 80°
u = 80°
(b) u = (2v + 30°) because opposite angles of a parallelogram are equal.
u = 80°
80° = 2v + 30°
80 - 30 = 50
50° = 2v
25° = v
[tex]\frac{4}{5} x^{4}[/tex]
Triple a number decreased by 25 is equivalent to five less than half the same number.
The number is??
The unknown number is 8.
Let the unknown number be x.
According to the given question.
We have a phrase "Triple a number decreased by 25 is equivalent to five less than half the same number".
Therefore, the equation for the phrase "Triple a number decreased by 25 is equivalent to five less than half the same number" is given by
3x - 25 = x/2 - 5
To find the unknown number we have to solve the above equation for x.
Therefore,
3x - 25 = x - 10/2
⇒ 6x - 50 = x - 10
⇒ 6x - x = -10 + 50
⇒ 5x = 40
⇒ x = 40/5
⇒ x = 8
Hence, the unknown number is 8.
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There are 48 trees at the park. ¼ of the trees are oak trees. How many oak trees are at the park
Answer:
12 oak trees
Step-by-step explanation:
1/4 of 48 =12
2|x|-9 translate 6 units up
The translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.
We are given a function:
2 | x | - 9.
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
We are asked to translate the function 6 units up.
This means that we have to add 6 units to the function.
A function has been “translated” when it has been moved in a way that does not change its shape or rotate it in any way.
So, we get that:
f(x) = 2 | x | - 9 + 6
f(x) = 2 | x | - 3
Therefore, the translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.
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Which is a factor of 6z^2 -3z-2+4z?
A:2z+1
B:3z-2
C:z+2
D:2z-1
Answer:
D. (2z-1)
Step-by-step explanation:
If you solve 6x^2-3z-2+4z you should get (2z-1)(3z+2). Which automatically gives you a factor of 2z-1.
Which statistics best describe the center and spread of the data in the histogram? which statistics best describe the center and spread of the data in the histogram? median and standard deviation mean and standard deviation median and iqr mean and iqr
A histogram is a graph that shows the frequency of numerical data using rectangles.
A set of quantitative data with varying values may be shown as a list or a data display.
Center and spread are ways to describe data sets like this.
Center describes a typical value of a data point. Two measures of center are mean and median.
Spread describes the variation of the data. Two measures of spread are range and standard deviation.
The mean is useful for describing the center of data with similar values.
The mean is the average value.
mean = sum of values / number of values
A histogram is a graph that shows the frequency of numerical data using rectangles.
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How would you write .8% as a decimal? Remember DP!
Answer:
0.08
Step-by-step explanation:
0.8% as a decimal is 0.08.
Hope this helps!
Please mark as brainliest if correct!
Answer:
.8% = 0.08
Imagine the hundredths place(2 DP) as the ones place, and the tenths place as the tens place like in 57%, that would be 0.57 because it's double digit.
Hope this helps.
5 6 7 8 9 10
TIME REMAINING
10:31
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
Answer:D) the sum is a binomial with a degree of 6
Step-by-step explanation:
1. Two adjacent angles
2. Two acute vertical angles
3. Two obtuse vertical angles
Answer: D e acute
Step-by-step explanation:
The only measure of center that can be found for both quantitative and qualitative data is the.
The only measure of center that can be found for both quantitative and qualitative data is the mode.
What is the mode?The measure of mode can be calculated for both quantitative and qualitative data. When it is unique, the mode is the value that appears the most frequently in a data set, and it, like the median and mean, can be used as a measure of central tendency. However, there are times when there is no mode or when there are multiple modes. When all observed values appear the same number of times in a data set, there is no mode. To find the mode, arrange the numbers (this makes counting easier), then count how many of each number there are. A mode is a number that appears frequently.Therefore, the only measure of center that can be found for both quantitative and qualitative data is the mode.
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If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 75
Step-by-step explanation:
let the larger number=n
then the smaller number=½n
We conclude from the question that
n+½n=75
3/2n=75
3n=150
n=150/3=50
Therefore the larger number=50 and the smaller number=½×50=25
HELP PLEASE! Use the diagram below to analyze another student's work.
S
80°
45°
Nathan stated that angle q is 20 degrees because 80 degrees + 20 degrees = 100
degrees. Straight lines are measured as 100 degrees.
Did Nathan correctly calculate the measurement for angle q? Justify your answer
1pt for identifying if Nothan was
correct or not
2pts for justification
Answer: No, Nathan didn't measure angle correctly
Step-by-step explanation:
The sum of angles that are formed on a straight line is equal to 180°
So the value angle q is 80° because the sum of angle q and 100° is 180°
∠q+100°=180°∠q= 180°-100°
∠q= 80°
No, Nathan didn't measure angle correctly.
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are 8x and 2x^3 like terms ??
Answer:
No they are not 'like' terms
Step-by-step explanation:
8x and 2x WOULD be 'like' terms
8x and 2x^2 are not
8x and 2x^3 are not either
Evaluate the expression (2+5)4
Since the 2 + 5 is in parenthesis, we do that first.
7(4) =
7 * 4 = 28
Hey there!
Assuming:
(2 + 5)(4) or (2 + 5)^4
Simplifying:
(2 + 5)(4)
= 7(4)
= 28
Simplifying:
(2 + 5)^4
= (7)^4
= 7^4
= 7 * 7 * 7 * 7
= 49 * 49
= 2,401
We’re going to assuming equation #1 in our assumption as your question.
That being said, your answer is most likely: 28
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Question 2 2.1 2.2 2.2.1 2.2.2 Determine the general solution for sin(x - 30°) = cos 2x Consider the functions f(x) = sin(x-30°) and g(x) = cos 2x Write down the period of g. State the range of f.
The general solution for the given equation is 40°+120°n.
The period of g(x) is π.
The range of f(x) is [-1, 1].
sin(x-30°) = cos 2xsin(x-30°) = sin(90°-2x)(x-30°) = (90°-2x) + 360°nx + 2x = 90° + 30° + 360°n3x = 120° + 360°nx = (120° + 360°n)/3The general solution (x) is 40° + 120°n. g(x) = cos 2xThe period of cos x is 2π. If the multiplying factor of x is 'n', then it decreases the period by n times.Here, in g(x), n is 2.The period of g(x) is equal to half the period of cos x. The period of g(x) = 2π/2The period of g(x) is π.f(x) = sin(x-30°)"Sin" is a trigonometric function which has a range from -1 to 1.To learn more about period, visit :
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what do you notice about absolute 6 and -6
Answer: they have the same absolute value
Step-by-step explanation: -6 and positie 6 are both 6 units from zero
The students at Woodward elementary voted for a school mascot. The falcon won the race 5/8 of the votes and the eagle came seconds with 1/3 of the remaining votes. Is 536 students voted for a mascot, how many students voted for the eagle
It is found that total 67 students voted for eagle.
Two ratios are set to be equal in an equation called a proportion.
Given students at Woodward elementary voted for a school mascot.
Falcon received 5/8 of the vote, winning the post.
Eagle turned up second with 1/3 of the remaining votes.
Total number of students voted for a mascot = 536
The total amount of votes falcon received = 5/8 × 536
= 67 × 5
= 335 votes
Subtract the votes received by falcon from the total number of votes.
= 536 ₋ 335
= 201
Now the remaining votes are 201, from the remaining votes eagle received 1/3 of it.
votes gained by eagle = 1/3 × 201
= 67
Therefore 67 students voted for the eagle.
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PLEASE HELP! Need help quick!
Joaquin started an online music collection with 105 songs. Each week, Joaquin purchases 4 new songs to add to his collection.
Which inequality can be used to find w, the number of weeks after starting his collection, when Joaquin will have more than 200 songs in his collection?
A- 105w+4<200
B- 105w+4>200
C- 4w+105<200
D- 4w+105>200
Answer: The answer will be D
Step-by-step explanation: I think the answer will be C because you can multiply this as I did to get the answer so its C
is the value of the 1 in 1,440,000 10 times as great as the value of 4 in the hundred thousands place explain
Answer:
Yes because first ( right to left) 4 is 400,000 while the other 4 is 40,000
Step-by-step explanation:
40,000x 10= 400,000
thanks
