Answer:
0.1691
Step-by-step explanation:
[tex]arcsin( \frac{3}{9} ) = 0.3398 \\ \sin( \frac{0.3398}{2} ) = 0.1691[/tex]
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
❗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
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]
There 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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A color printer prints 31 pages in 9 minutes. How many pages does it print per minute?
PLEASE HELP ASAP!!!!
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.
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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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.
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 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
2.48 times 3.25 equals
The answer is 8.06.
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
What is the formula for standard error of the mean?
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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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 - 8PLEASE 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 = -1.51. 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
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]
What can you do to y = |x| to move the graph 2 units left?
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
PLEASE HELP WILL MAEK YOU THE BRAINLIEST
Answer:
1
Step-by-step explanation:
[tex]F =\cos 0^{\circ} = 1[/tex]
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
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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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
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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A total of 840 people ate at lunch.Which statement is true
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 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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What is the decimal equivalent of ?
5/6
Answer:
It will be
5/6 which it can be used as 0.83
