Answer:
0.1691
Step-by-step explanation:
[tex]arcsin( \frac{3}{9} ) = 0.3398 \\ \sin( \frac{0.3398}{2} ) = 0.1691[/tex]
Solve for x in the inequality 11|x + 1| < 44
[tex]~~~~~~11|x+1| < 44\\\\\implies |x+1| < \dfrac{44}{11}\\\\\implies |x+1| < 4\\\\\implies x +1 > -4~~~ \text{and}~~~ x+1 < 4\\\\\implies x > -4-1~~~ \text{and}~~~~ x < 4-1\\\\\implies x > -5~~~~~~~~ \text{and}~~~~~ x < 3\\\\\text{Hence,}~~ -5 < x < 3[/tex]
Rewrite 5 2/3 using radical notation.
The radical form of [tex]5^{\frac{2}{3}}[/tex] is [tex]\sqrt[3]{25}[/tex].
What is Radical Notation?If n is a positive integer that is greater than 1 and a is a real number then, n√a = [tex]a^{1/n}[/tex]. where n is called the index, a is called the radicand, and the symbol √ is called the radical.
Here, given value = [tex]5^{\frac{2}{3}}[/tex]
= [tex](5^2)^{1/3}[/tex]
= [tex](25)^{1/3}[/tex]
= [tex]\sqrt[3]{25}[/tex]
Thus, the radical form of [tex]5^{\frac{2}{3}}[/tex] is [tex]\sqrt[3]{25}[/tex].
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PLEASE HELP!
Correct answers will be mark as BRAINLIEST and get 50 points
If wrong answers will be reported
Mean=Sum of data/No of data
#a
17,19,25Mean
17+19+25/361/3#b
38,36,34,32Mean:-
38+36+34+32/4140/435#c
8.3,2.6,7.4,1.8,9.5Mean
8.3+2.6+7.4+1.8+9.5/529.6/55.92#d
-5,-2,-1,0,-9,4Mean
-5+2-1+0-9+4/6-9/6Answer:
See below ~
Step-by-step explanation:
a)
Mean = 17 + 19 + 25 / 3Mean = 61/3Mean = 20.3b)
Mean = 38 + 36 + 34 + 32 / 4Mean = 140/4Mean = 35c)
Mean = 8.3 + 2.6 + 7.4 + 1.8 + 9.5 / 5Mean = 29.6/5Mean = 5.92d)
Mean = -5 + 2 - 1 + 0 - 9 + 4 / 6Mean = -9/6Mean = -1.5What can you do to y = |x| to move the graph 2 units left?
1. Five times a number plus 8 equals 33. What is the number?
Answer: 5
Step-by-step explanation: 5 x 5 is 25 + 8 is 33
Which is the greatest?
5/100 5/10 24/1000
Answer:
5/10
Step-by-step explanation:
To solve this problem we find equivalent fractions with the same denominator:
The LCM of 10,100 and 1000 is 1000. So we make all the denominators 1000:
5/100 = 50/1000
5/10 = 500/1000
24/1000 = 24/1000
Now we compare the numerators and see which is the largest number.
24 < 50 < 500
So 5/10 must be the greatest.
Hope this helped and brainliest please
Find the distance (A) for the bend of electrical conduit that is passing under the girder shown in the figure.?
Answer:
15 1/8"
Step-by-step explanation:
Adding the values
⇒ 9 3/4" + 2 1/8" + 3 1/4"
⇒ 13 + 2 1/8"
⇒ 15 1/8"
A total of 840 people ate at lunch.Which statement is true
Need help with this problem, doesn't make sense to me.
Answer:
A = x² - 5x - 8
Step-by-step explanation:
Finding x
Area (deck) = Area (Rectangle) - [Area (bench) + Area (planter)]A = x(x - 4) - [ 2(6) + 1/2(2)(x - 4) ]A = x(x - 4) - [12 + x - 4]A = x² - 4x - 8 - xA = x² - 5x - 8There are 12 turkey sandwiches and 8 ham sandwiches. There are 6 bags of chips and 10 bags of pretzels. What is the probability of selecting a turkey sandwich and a bag of pretzels?
a) 1/5
b) 3/8
c) 3/5
d) 5/8
The probability of selecting a turkey sandwich and a bag of pretzels is 3/8.
What is the probability?Probability determines the likelihood that an event would happen. The odds the event occurs is 1 and the odds that the event does not occur is 0.
The probability of selecting a turkey sandwich and a bag of pretzels = number of turkey sandwiches / total number of sandwiches x number of pretziel bags / total number of bags
12/20 x 10/16 = 3/8
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❗100points❗
y is directly proportional to √x .
y is 24 when x is 36. Find a formula linking x and y
thanks.
Answer:
y = 4√x
Step-by-step explanation:
Finding the constant of proportionality, k
y = k√x24 = k√36k = 24/6 = 4Equation
y = k√xy = 4√xAnswer:
Y will equal
4√x as the answer
The population of a small town was 10,800 in 2002. Since then the population has decreased at a rate of 2.5% each year. Write an exponential function to model the situation then find the population of 2020
Answer:
See below
Step-by-step explanation:
A 2.5 % decrease means 97.5 % remains (.975)
population = 10800 ( .975) ^n where n = years past 2002
in 2020 n = 18
10800 (.975)^18 = 6847 people
What is the volumen , in cube centimeters, if a cube with a side length, s, of 0.2cm?
Answer:
[tex]\frac{1}{125}[/tex]cm³
Step-by-step explanation:
volume of cube= (side)³
0.2³ = [tex]\frac{1}{125}[/tex]
Use Euler’s Formula to find the missing number.
Edges: 37
Faces: 25
Vertices: ?
Answer:
Step-by-step explanation:
Comment
The formula that relates edges faces and vertices is F + V = E + 2
Givens
Edges (E): 37
Faces (F) = 25
Vertices: x
Solution
25 + x = 37 + 2 Subtract 25 from both sides.
25-25 +x= 37 - 25 + 2 Combine
x = 12 + 2
x = 14
Answer: The vertices = 14
A color printer prints 31 pages in 9 minutes. How many pages does it print per minute?
Write the complex number when a=2 and b=3
Answer:
complex number Z = a+ib
so when a=2 and b=3 so complex number = 2+3i
What is the decimal equivalent of ?
5/6
Answer:
It will be
5/6 which it can be used as 0.83
Examine the system of equations.
t = 5c + 35,
t = 10c
How many solutions will the system have?
What is the reason you determined that number of solutions?
Answer:
One solutionStep-by-step explanation:
Analyzing both equations
Simplify both to simplest formy = 5c + 35 = c + 7y = 10cSlope is differentAs the slopes are different, then it can be concluded that the system has only one solution.
Answer:
How many solutions will the system have?
✔ one solution
What is the reason you determined that number of solutions?
✔ The equations graph intersecting lines.
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=3x+5
s(x)=4x
Write the expressions for (r-s)(x) and (r*s)(x) and evaluate (r+s)(-2).
A function assigns the values. The value of (r+s)(-2) is equal to 9.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function r(x)=3x+5, while s(x)=4x, therefore, the expressions can be written as,
(r-s)(x) =r(x)-s(x) = 3x+5 - 4x = -x+5
(r*s)(x) = r(x)·s(x) = (3x+5)·(4x) = 12x² + 20x
The expression for (r+s)(x) can be written as,
(r+s)(x) = r(x)+s(x) = 3x+5+4x = 7x+5
(r+s)(-2) = 7(-2)+5 = -14+5 = 9
Hence, the value of (r+s)(-2) is equal to 9.
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a small flash driver has a storage capacity of 200gb, a medium 350gb, and a large 600gb. the small flash driver is 1/4 inch long, the medium is 1/2 inch long, and the large 1 inch long. Javier owns the same number of flash drives of all three sizes, giving him a total of 11,500gb of storage capacity. what is the combined length of all his flash drives?
The small flash driver is 1/4 inch long, the medium is 1/2 inch long, and
the large 1 inch long. The combined length of all his flash drives is 11/8 inch.
How many megabytes in 1 gigabyte?1 gigabyte = 1000000000 bytes
1 megabyte = 1000000 bytes
1 gigabyte = 1000 megabytes
A small flash driver has a storage capacity of 200Gb, a medium 350GB, and a large 600Gb.
The small flash driver is 1/4 inch long, the medium is 1/2 inch long, and
the large 1 inch long.
Javier owns the same number of flash drives of all three sizes, giving him a total of 11,500Gb of storage capacity.
The combined length of all his flash drives
= 1/4 + 1/2 + 1
= 11/ 8
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Pat borrows $12,000 to buy a car, for 3 years at 6.5% interest, and the total interest is $2,340. What is the total cost of the car?
A)$12,000
B)$14,200
C)$13,065
D)$14,340
If Pat borrows $12,000 to buy a car. The total cost of the car is: D)$14,340.
Total costFirst step
Using this formula
Interest=Principal×Rate×Time
Let plug in the formula
Interest=$12,000×3×6.5%
Interest=$2,340
Second step
Total cost=Principal +Interest
Total cost=$12,000+$2,340
Total cost=$14,340
Therefore the correct option is D.
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1. The constant of variation for the table below is -8. true or false X 8 16 24 y 1 2 3
Answer:
False
Step-by-step explanation:
The formula for direct variation is ...
y = kx
where k is the constant of variation.
If -8 is the constant of variation, we should have ...
1 = -8×8 . . . . false
1 ≠ -64
The constant of variation is not -8.
__
Additional comment
The constant of variation is 1/8.
2.48 times 3.25 equals
The answer is 8.06.
The following number line contains the points A, B, C, D, and E.
Complete each of the following prompts with a numerical answer only.
Enter answers in their most simplified form.
The probability that a point chosen at random on AE is on AB is...
1/2
4/5
1/5
7/10
The probability that a point chosen at random on AE is on AB is; 1/5.
What is the probability that a point chosen at random on AE is on AB?The total distance over AE is given as; |-5 -5| = 10.
And the total distance covered over AB is; |-5 -(-3)| = 2.
On this note, the required probability is; 2/10 = 1/5.
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14÷2+3²×(7-2) pemdas order
Answer:
Step-by-step explanation:
14÷2+3²×(7-2) pemdas order
14 : 2 + 3^2 * (7 - 2) =
14 : 2 + 3^2 * 5 =
14 : 2 + 9 * 5 =
7 + 9 * 5 =
7 + 45 =
52
What is the formula for standard error of the mean?
A particular fruit's weights are normally distributed, with a mean of 615 grams and a standard deviation of 10 grams.
The heaviest 10% of fruits weigh more than how many grams?
Give your answer to the nearest 0.1 gram.
The heaviest 10% of fruits weigh more than 814.79 grams.
The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.
What are the formula weights are normally distributed?Define X = Random Variable of the fruit's weight
[tex]X \sim N(mean = 760, standard deviation = 39)[/tex]
We want to find the specific gram value for which 8% of the fruits are heavier
The 92nd percentile of X's normal distribution
[tex]Solve for x: Pr( X < x ) = Normal( 760, 39 ) CDF = .92[/tex]
Standardizing we obtain
[tex]Pr( [X - 760]/39 < [x - 760]/39 ) = Pr( Z < [x - 760]/39 ) = .92,[/tex]
where Z is a standard normal random variable
[tex]Pr( Z < [x - 760]/39 ) = Standard \ Normal \ CDF( [x - 760]/39 )[/tex]
==> Set this equal to .92:
[tex]Standard \ Normal \ CDF( [x - 760]/39 ) = .92[/tex]
Then, from the standard normal table:
[tex][x - 760]/39 = Inverse Standard Normal[/tex]
[tex]CDF( .92 ) = 1.405[/tex]
Use algebra to solve for x:
[tex]x = 39 * 1.405 + 760 = 814.795[/tex]
Therefore the heaviest 10% of fruits weigh more than 814.79 grams.
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PLEASE HELP WILL MAEK YOU THE BRAINLIEST
Answer:
1
Step-by-step explanation:
[tex]F =\cos 0^{\circ} = 1[/tex]
When 2 consecutive prime numbers are subtracted we get the difference 6 and when they are multiplayed we get the number 3128. find the numbers.
Answer:
it is impossible as when we multiply two prime numbers other than 2 we get the number odd but 3128 is an even number
Step-by-step explanation:
A second hand car is being advertised at 1000 dollars now and 1000 dollars on 1 years time. the dear offers it to you at 1800 dollars cash.which should you take and why?
I will take 1000 dollars because it is advertised at 1000 dollars