Answer:
12a+20b-12
Step-by-step explanation:
need help with this one
Answer:
Attached
Step-by-step explanation:
Solve the equation. (Find all solutions of the equation in the interval [0, 2pi). Enter your answers as a comma-separated list.)
(3 sin(2x) + 3 cos(2x))^2=9
I got
[tex]0.75 + 2\pi \times n[/tex]
[tex]5.28 + 2\pi \times n[/tex]
[tex]1 + 2\pi \times n[/tex]
5.53+2pi times n
WORK:
[tex](3 \sin(2x) + 3 \cos(2x) )) {}^{2} = 9[/tex]
[tex] \sin(2x) + \cos(2x) {}^{2} = 3[/tex]
[tex] \sin(x) + \cos(4 {x}^{2} ) = 3[/tex]
[tex]4 {x}^{2} + x = 3[/tex]
[tex]4 {x}^{2} + x - 3 = 0[/tex]
[tex](4x {}^{2} + 4x - 3x - 3 = 0[/tex]
[tex]4x(x + 1) - 3(x + 1) = 0[/tex]
[tex](4x - 3)(x + 1)[/tex]
Solve for x
[tex]4x - 3 = 0[/tex]
[tex]4x = 3[/tex]
[tex]x = \frac{3}{4} [/tex]
[tex]x + 1 = 0[/tex]
[tex]x = - 1[/tex]
While -1 is a solution, it isn't within the interval of 0,2pi.
However, we can use the reference angle identity
[tex] \cos(x) = \cos(x + 2\pi) [/tex]
So some more possible points are
[tex] - 1 + 2\pi[/tex]
Since it on a interval, it must be less than 2 pi or 6.28.
Let find some more points
[tex] - 1 + 2\pi = 5.28[/tex]
So 5.28 is a point,
[tex] \frac{3}{4} + 2\pi = 7.03[/tex]
That is too big since -6.28 is smaller than 7.03
We can use the identity
[tex] \cos(x) = \cos( - x) [/tex]
[tex] \cos( - 1) = \cos( 1 ) [/tex]
1 is smaller than 2pi so it is true.
[tex] \cos( \frac{3}{4} ) = \cos( - \frac{3}{4} ) [/tex]
Negative 3/4 is smaller than zero so it not a solution.
[tex]0.75[/tex]
[tex]5.28[/tex]
[tex] 1[/tex]
Make sure to include
[tex]2\pi \times n[/tex]
so
[tex]0.75 + 2\pi \times n[/tex]
[tex]5.28 + 2\pi \times n[/tex]
[tex]1 + 2\pi \times n[/tex]
We can also -3/4 plus 2 pi.
Which is about 6
5.53.
How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.
Answer:
8 cm
Step-by-step explanation:
Just multiply 3.2 by 2.5
3.2 x 2.5 = 8
Answer:
Sure, your answer is 8
Step-by-step explanation:
3.2 * 2.5=8
I need help, image should be attached
7. How do you write a deposit of $15?
You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.
What is a deposit slip?A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.
To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.
To write a deposit slip, you would need to follow these steps:
Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.
Fill in your personal and account information, including your name, account number, and any other required information.
Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.
If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.
Review the deposit slip for accuracy and completeness, and make any necessary corrections.
Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.
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Is this even possible?
Answer:
yes.
simply subtract the coupons from the total.
56.12-9.85= $46.30
What is 1/5 doubled?
Answer:
2/5
Step-by-step explanation:
1/5 · 2/1 = 2/5
Good luck, I hope this helps :)
the population of staten island is 7.6*10^3. the population of Brooklyn is 2.3*10^5. how many people are there in Brooklyn and Staten Island?
Answer:
1
Step-by-step explanation:
1
I take a picture the Letter D because cant see it so i take a picture so can see help pls.
Answer:
D
Step-by-step explanation:
Find the value of x.
(13x+12)
129
X=
PLSS HELP
Answer:
The value of x would equal 9
Step-by-step explanation:
129 - 12 = 117
117/13 = 9
Maurice's teacher asked him to compare the mean and median of the data distribution explain and correct Maurice's error in comparing the mean and the median
The first part where he mentions "The distribution is skewed right" is correct. The tail on the right hand side is pulled longer than it should be, or longer compared to the left tail. "Right skew" or "skewed right" is the same as "positively skewed". They all mean the same thing.
The portion where Maurice says "This implies that the mean is less than the median" is incorrect. This is where his error is located. The reason for the error is because it should be "The mean is greater than the median" when we have right-skewed data like this.
Here's one example to see why this is the case. Consider the distribution {1,2,3,4,5}. We can see that the median is 3 since it's directly in the center. The mean is also 3 since we add up all the values and divide by 5. Symmetric data has mean = median. Now, we'll replace the '5' with something much larger to get a large outlier. Let's say we have the set {1,2,3,4,55}. The median is still 3. The outlier doesn't pull on the median. However, the mean has changed and it is (1+2+3+4+55)/5 = 65/5 = 13. The mean went from 3 to 13. Therefore, mean > median here. The mean is affected by outliers. Think of it like the outlier is pulling on the mean in a sort of magnetic way. This outlier makes the mean larger than it should be. If the outlier is extreme enough, then it sometimes makes sense to consider the trimmed mean as opposed to the regular arithmetic mean. The trimmed mean is the mean of the main cluster of values ignoring the outlier(s).
-----------------------
To recap:
If we have right skewed data, then mean > median
As you can probably guess, if we had left-skewed data, then mean < median. In symmetric data, mean = median.
At the market Sydney put a few pairs in a bag then ways the bag on a product scale the bag pairs way 4.75 pounds she adds more pairs to the bag the new way of the bag is now 5.6 pounds right and solve an addition equation to find the weight of the pairs added to the bag?
Answer:
0.85 pounds
Step-by-step explanation:
We start with a bag that weighs 4.75 pounds and want to find the weight of the pairs added to the bag.
Let x equal the weight of the pairs added to the bag.
We can write an equation containing 4.75 pounds and x, and solve for x to find this weight value.
y = 4.75 + xWe know that the final weight of the bag is 5.6 pounds, so we can substitute this value for y.
5.6 = 4.75 + xSubtract 4.75 from both sides of the equation.
0.85 = xThe weight of the pairs added to the bag is 0.85 pounds.
g A test was conducted to determine if there is a difference between Canadian and American average heart rates. A group of 36 Canadians and 34 Americans were randomly selected and their heart rates measured in beats per minute (bpm). The mean heart rate for Canadians was 68.5 and 70 for Americans. The pooled standard deviation of 2.0 beats/minute was calculated. Estimate a plausible range of differences between the mean heart rate of Canadians and Americans. What statistical procedure should be used to answer this research question
Answer:
The test statistic | t | =4.45
Step-by-step explanation:
Step(i):-
Given that the first sample size n₁ = 36
Given that the second sample size n₂ = 34
Mean of the first sample x₁⁻ = 68.5
Mean of the second sample x₂⁻ = 70
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}[/tex]
[tex]t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }[/tex]
[tex]t = \frac{-1.5}{0.337} = -4.45[/tex]
The test statistic | t | = |-4.45| =4.45
The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.
What is test statistics?The test statistic summarises the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.
The given information will be shown below.
The first sample size n₁ = 36
The second sample size n₂ = 34
The mean of the first sample x₁ = 68.5
The mean of second sample x₂ = 70
Then the test statistic will be given as
[tex]\rm t = \dfrac{x_1 - x_2}{\sqrt{S^2 (\dfrac{1}{n_1}+\dfrac{1}{n_1})}} \\\\\\\t = \dfrac{68.5 - 70}{\sqrt{2 (\dfrac{1}{36} + \dfrac{1}{34})}} \\\\\\t = \dfrac{-1.5}{0.337}\\\\\\t = -4.45[/tex]
The test statistic | t | = |–4.45| = 4.45
More about the test statistic link is given below.
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a shelter had 4 spaniel puppies and 6 beagle puppies. Jack adopted 1/2 of the spaniel puppies, and carmen adopted 1/2 of the beagle puppies. who adopted more puppies? How do you know?
Answer:
If Jack adopted half of the spaniel puppies, and there are 4 spaniel puppies, that means that he adopted 2 puppies.
If Carmen adopted half of the beagle puppies, and there are 6 beagle puppies, then Carmen adopted 3 puppies. This means that Carmen adopted more puppies than Jack.
Step-by-step explanation:
1/2 of 4 = 2
1/2 of 6 = 3
Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, a shelter had 4 spaniel puppies and 6 beagle puppies.
Jack adopted 1/2 of the spaniel puppies.
That is, 1/2 ×4 =2
Carmen adopted 1/2 of the beagle puppies.
That is, 1/2 ×6 =3
Therefore, Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.
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Cameron is berry picking at the Berry Best farm. He wants to pick a total of 2 gallons of berries. After 30 minutes of picking, he has 6 pints of berries. For how many more minutes does Cameron need to pick berries to reach his goal?
Answer:
50 minutes
Step-by-step explanation:
2gal×4 qt in a gallon= 8 qt
8qt× 2pt in a qt= 16pt
16pt÷6 pt= 2.66
2.66×30= 80 min
80min-30min= 50 minutes
The height of a right cylinder is 6r, where r is the radius. Write a function f in simplest form that represents the ratio of the surface area to the volume.
5
You buy a house for $125,000 in 1995 and have the house reappraised in 2010 to find out how
much its value has increased over the years. If the value of the house is $364,000 in 2010, what
is the rate of growth for the house? Round answer to the nearest hundredth.
(4 Points)
In ΔRST, the measure of ∠T=90°, RS = 4.9 feet, and ST = 2.7 feet. Find the measure of ∠S to the nearest tenth of a degree.
Step-by-step explanation:
step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram
step 2. triangle RST is a right triangle so we can use trigonometry to find <S
step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos
step 4. cosS = adj/hyp = ST/RS = 2.7/4.9
step 5. <S = 56.6° using inverse cos.
Answer:
42.43
Step-by-step explanation:
This is because you had to divbide by 3
Ali is cutting 3/8 in. Cookie dough slices from a 10 1/2 in. long roll how many does she get
Answer:
28 slices
Step-by-step explanation:
Take the length of the roll and divide by the size of the slice
10 1/2 ÷ 3/8
Change the mixed number to an improper fraction
(10*2 +1) /2 ÷ 3/8
21/2 ÷ 3/8
Copy dot flip
21/2 * 8/3
Rewriting
21/3 * 8/2
7 * 4
28
You will get 28 slices
Solve x - 9 = 3 + y for y.
Step-by-step explanation:
[tex]x - 9 - 3 = y \\ y = x - 12[/tex]
The given equation solved for y as x-12.
The given equation is x-9=3+y.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
x-9=3+y
⇒y=x-9-3
⇒y=x-12
Therefore, the given equation solved for y as x-12.
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What is the mean, median and mode of the data below. (List in that order: mean, median, mode) 18, 24, 20, 18, 21
Answer:
Mean: [tex]20.2[/tex], Median: [tex]20[/tex], Mode: [tex]18[/tex]
Step-by-step explanation:
The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is [tex]18+24+20+18+21=101[/tex] and the number of data values is [tex]5[/tex], so the mean is [tex]\frac{101}{5}=20.2[/tex].
The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get [tex]18,18,20,21,24[/tex]. Since there are [tex]5[/tex] data values in this set, the middle value, or median, will be the [tex]3[/tex]rd value, which, in this case, is [tex]20[/tex].
Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, [tex]18[/tex] shows up twice, unlike the other numbers, which only show up once, so we know that the mode is [tex]18[/tex]. Hope this helps!
In a cafeteria, 3/10 of the students ate eating salads, and 3/5 are eating sandwiches. There are 30 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?
Answer:
1/10 or 3kids
Step-by-step explanation:
First you want to take 3/5 into 10nths so you do 3/5 times two and you get 6/10 then you add up 6/10 and 3/10 and you get 9/10. 30÷ 9/10 is 27 so 3 kids are having other things
Evaluate :
(x+y)(x -y), if x = -3, y = -5
In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.
Answer:
Speed of swimmer = 2.34 m/s (Approx.,)
Step-by-step explanation:
Given:
Distance covered in world record swimming = 50 meters
Time taken by free style swimmer = 21.34 seconds
Find:
Speed of swimmer
Computation:
Speed = Distance / Time taken
So,
Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer
Speed of swimmer = 50 / 21.34
Speed of swimmer = 2.34 m/s (Approx.,)
if x squared by 3 equal 64 what is the value of x
Answer:
4
Step-by-step explanation:
x^3= 64
x= 64^1/3
x=4
Answer:
4
Step-by-step explanation:
4x4=16
16x4= 64
Fred buys 16 bags of tortilla chips and 28 jars of salsa dip. What is the ratio of salsa jars to bags of tortilla chips? Simplify your answer.
(Need help) (ASAP)
Point: 18
Answer:
10
Step-by-step explanation:
Can someone help mee
What is the value of 3n-1 when n 20?
Answer:
59
Step-by-step explanation:
3*20-1=59
A line segment has endpoints at(2,4) and (6,10). What are the coordinates of the midpoint of the line segment?
Answer:
I think the midpoint is (4,7)
Step-by-step explanation: