Answer:
69%
Step-by-step explanation:
Hey there!☺
\(Answer:\boxed{68.75}\)
\(Explanation:\)
Let's start the percentage from 1/16.
\(1/16\rightarrow6.25\\2/16\rightarrow12.5\\3/16\rightarrow18.75\\4/16\rightarrow25\\5/16\rightarrow31.25\\6/16\rightarrow37.5\\7/16\rightarrow43.75\\8/16\rightarrow50\\9/16\rightarrow56.25\\10/16\rightarrow62.5\\11/16\rightarrow68.75\)
The rule is to multiply each by 6.25. That means that you have to multiply 6.25 by 11 to get its percentage.
\(6.25*11=68.75\)
68.75 is your answer.
Hope this helps!☺
\(\text{-TestedHyperr}\)
If f(x)=4x+5 what is f(4)
Answer:
Step-by-step explanation:
f(4) = 4(4) + 5
f4= 16 + 5
f4= 21
f = 21/4
f= 5.25
I need help with this question
Answer:
5/7
Step-by-step explanation:
ratio of boys to girls---> 2:5
ratio sum: 2+5=7
girls ratio =5/7
OR
total of people in 7th grade choir=28
hence, no of girls in 7th grade choir=5/7 × 28
=20
proportion of girls in choir= 20/28 = 5/7
Give a recursive definition of
a) the set of odd positive integers.
b) the set of positive integer powers of 3.
c) the set of polynomials with integer coefficients.
For example: 5x 3 − 2x 2 + 3 or 7x 4 − 8x 3 + x
Answer:
a. for positive odd integers starting 1 and increaments by 2:
( first odd number ) + 2 ∈ S
b. for positive integer powers of 3 :
3( integer ) ∈ S
c. for integer coefficient of the given polynomial :
s. t ∈ S , s - t ∈ S and s + t ∈ S
Step-by-step explanation:
the odd number starts with 1 and increases by two, and the set of that would range from 1 to infinity.
HELLLLLPPPPP I NEED HELP WITH MY WORK
The situation that describes two separate populations is given as follows:
The blood pressure of 20 people who exercise compared to the blood pressure of 20 people who do not exercise.
What is the population of an experiment?The population in an experiment refers to the entire group of individuals or objects that share one or more characteristics of interest and to whom the results of the experiment are intended to be generalized.
For example, in a medical experiment, the population might be all people who have a certain medical condition, while in a psychological experiment, the population might be all individuals who have a certain personality trait or psychological disorder.
Hence, if we are comparing the blood pressure of 20 people who exercise compared to the blood pressure of 20 people who do not exercise, the two separate populations are given as follows:
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Two sides of a triangle have lengths 43 and 67. The angle included between these sides measures 27degrees°. To the nearest hundreth, what is the length of the third side?
The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.
1. We have a triangle with two known side lengths: 43 and 67 units.
2. The angle included between these sides measures 27 degrees.
3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.
4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).
5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.
6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.
7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.
8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.
9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.
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Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
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I need help with this please
Answer:
80 minutes
Step-by-step explanation:
80x3 is 240
240 mins=4 hrs
(i promise its right this time- i bet)
Answer:
c. 80 minutes
Step-by-step explanation:
Some problems give you too much information, and you need to choose only the information you need. The number of pages is not important. Here you only need the time, 4 hours, and the number of assignments, 3.
4 hours × 60 minutes / hour = 240 minutes
240 minutes / 3 assignments = 80 minutes/assignment
Answer: c. 80 minutes
QUICK I NEED HELP! ILL MARK BRAINLIEST IF CORRECT
Find the amount in a continuously compounded account for the following condition.
Principal, $2000; Annual interest rate, 5.1%; time, 3 years
Whats the balance after 3 years?
Answer:
The balance in the account after 3 years is approximately $2313.94.
Step-by-step explanation:
The formula for calculating the balance in a continuously compounded account is:
B = Pe^(rt)
Where:
B = balance
P = principal
e = Euler's number (approximately 2.71828)
r = annual interest rate (as a decimal)
t = time in years
Using the given values, we have:
P = $2000
r = 0.051 (5.1% expressed as a decimal)
t = 3
Plugging these values into the formula, we get:
B = 2000e^(0.051*3)
B = 2000e^(0.153)
B = $2313.94 (rounded to the nearest cent)
Therefore, the balance in the account after 3 years is approximately $2313.94.
Expressed as a single fraction, 3/4x - 2/5x is equal to
The single fraction is 7x/20
What is a fraction?A fraction can be defined as the part of a whole variable, number or element.
The different types of fractions are;
Simple fractionsMixed fractionsProper fractionsComplex fractionsImproper fractionsWhat are algebraic expressions?Algebraic expressions are mathematical expressions consisting of terms, coefficients, variables, factors and constants.
They are made of operations such as multiplication, addition, subtraction, division, etc
Given the expression;
3/4x - 2/5x
Find the LCM
15x - 8x/20
7x/20
Thus, the value is 7x/20
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NO LINKS - PLEASE!
Create a probability distribution table from this frequency table. Round probabilities to the nearest hundredth.
Hours: 0,1,2,3,4,5,6,7
Frequency: 1,7,13,6,8,5,3,2
b) What is P(x≥4)?
c) what is P(x<3)?
I have to create a probability distribution table:
X --------
P(x) --------------
Answer:
b. 2/15
c. 7/15
Step-by-step explanation:
total frequency = 45
X 0 1 2 3 4 5 6 7
P(x) 1/45 7/45 2/45 1/15 4/45 1/9 2/15 7/45
b. P(≥4) = 18/45 = 2/5
c. P(<3) = 21/45 = 7/15
the number greater that 714,587
Answer:
714
Step-by-step explanation:
587,714 they arrange in orderly form
A number greater than 714,587 is 714,588
How to determine the number greater than 714,587?The complete question is added as an attachment
From the attached figure, we have:
Passengers = 714,587
Numbers greater than 714,587 would have a value greater than 714,587
This is represented as:
x > 714,587
The above inequality represents numbers greater than 714,587
An example of such number is 714,588
Hence, a number greater than 714,587 is 714,588
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which expression is equivalent to n+n-0.18n
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
Answer:
Simplifying the expression `n + n - 0.18n`, we get:
n + n - 0.18n = 2n - 0.18n
Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.
Looking at the answer choices:
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.
Therefore, the answer is d. 2n - 0.82.
Step-by-step explanation:
Apply the square root principle to solve (x – 2)^2 + 20 = 0.
Question 1 options:
A)
x = 2 + 2i , x = 2 – 2i
B)
x = –2 + 2i , x = –2 – 2i
C)
x = 2 + 2 , x = 2 – 2
D)
x = –2 + 2, x = –2 – 2
Answer:
швлалалаось.чллслслслсб вщлалс
the area of a circle is 9 pi m^2 what is the circumference in meters
Answer:
6pi meters
Step-by-step explanation:
The formula for area of a circle is
A = pi r^2
9 pi = pi r^2
Divide each side by pi
9 = r^2
Take the square root of each side
sqrt(9) = sqrt(r^2)
3 =r
Now we can find the circumference
C = 2 * pi *r
C = 2 * pi *3
C = 6pi meters
Answer:
6pi meters
Step-by-step explanation:
give the person above brainliest
have a good one!
Sally was driving her own car and collided with a pick-up truck. Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries. If her coverage was 100/300/50, what are the total medical expenses the insurance company would pay for this accident?
The insurance company would pay a total of $101,000 for the medical expenses resulting from the accident.
In this scenario, Sally's car insurance policy has coverage limits of 100/300/50. These numbers represent the maximum amount the insurance company will pay for different types of damages in an accident. Let's break down what these numbers mean in the context of the collision.
The first number, 100, represents the maximum amount (in thousands of dollars) that Sally's insurance company will pay for bodily injury per person. Since Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries, the insurance company will cover Sally's medical expenses up to the policy limit, which is $100,000.
The second number, 300, represents the maximum amount (in thousands of dollars) the insurance company will pay for bodily injury per accident. In this case, both Sally and her passenger were injured, so the insurance company will cover their combined medical expenses up to the policy limit, which is $300,000.
The third number, 50, represents the maximum amount (in thousands of dollars) the insurance company will pay for property damage per accident. However, since the question only mentions injuries and not property damage, we can disregard this number for now.
Therefore, the total medical expenses the insurance company would pay for this accident would be $100,000 for Sally's injuries and $1,000 for her passenger's injuries, totaling $101,000.
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Write 2 x 10^-5
in standard notation.
ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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A man makes a concrete mixture using cement sand and water in the ratio 1:3:6 respectively
A) if he uses 4 bags of cement how many bags of sand are needed
B) how many buckets of water are needed if he uses 10 bags of sand
C) how many bags of sand are needed if he uses 25 buckets of water
Part A
The ratio of cement:sand:water is 1:3:6
This means we have 1 part cement, 3 parts sand, 6 parts water. These are the basic building blocks to form concrete and the smaller pieces must be in this ratio.
Focus on the first two values 1:3 since we're only worried about cement and sand for part A. We ignore the water element.
We have 4 bags of cement and x bags of sand that are in ratio 1:3
4:x = 1:3
4/x = 1/3
4*3 = x*1
12 = x
x = 12
Answer: 12 bags of sand=============================================
Part B
This time we'll ignore the cement aspect. We only focus on the sand and water.
3:6 is the ratio of sand to water in that order.
x = number of buckets of water.
10 bags of sand to x buckets of water = 3:6
10:x = 3:6
10/x = 3/6
10*6 = x*3
60 = 3x
3x = 60
x = 60/3
x = 20
Answer: 20 buckets of water=============================================
Part C
Like with part B, we'll ignore the cement.
x = number of bags of sand
x bags of sand to 25 buckets of water = 3:6
x:25 = 3/6
x/25 = 3/6
6x = 25*3
6x = 75
x = 75/6
x = 12.5
Answer: 12.5 bags of sandAnswer:
A) 12 bags of sand are needed
Step-by-step explanation:
A) Your question is not complete because you didn’t mention the concrete volume. Let's assume you want to know the number of bags of cement required for 100 cft concrete considering 1:3:6 mix ratio. Lets begin!
Total volume of concrete= 100 cft
Mix Ratio= 1:3:6
Dry Volume of concrete= 1.5* Wet volume= 1.5*100cft= 150cft
Hence, Volume of cement required = 150*1/(1+3+6)= 15 cft
And, we know that one bag of cement contain 50kg or 1.25 cft Cement
Bags of Cement required = 15/1.25 = 12 Bags
Plz help I need help
Answer:
2/3
Step-by-step explanation:
0/0 is 0
1/2 is 1 of 2
2/3 is 2 of 3
3/4 is 3 of 4
hopefully it helps!
In a certain science experiment, it was required to estimate the nitrogen
content of the blood plasma of a certain colony of rats at their 37th day of age.
A sample of 9 rats was taken at random and the following data was obtained
(grams per 100cc of plasma):
0.98, 0.83, 0.99, 0.86, 0.90, 0.81, 0.94, 0.92, and 0.87.
Find the estimates for the average content and the variation in nitrogen
content in the colony.
The estimates for the average content is 0.9.
The variation in nitrogen content in the colony is 0.0036.
What is the average of a data set?
The average of a data set or the mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The sum of the data set is calculated as follows;
total = 0.98 + 0.83 + 0.99 + 0.86 + 0.9 + 0.81 + 0.94 + 0.92 + 0.87
total = 8.1
The estimated average of the nitrogen content = 8.1/9 = 0.9
The deviation of each data from the mean;
= (0.98 - 0.9), (0.83 - 0.9), (0.99 - 0.9), (0.86 - 0.9), (0.9 - 0.9), (0.81 - 0.9), (0.94 - 0.9), (0.92 - 0.9), (0.87 - 0.9)
= 0.08, -0.07, 0.09, -0.04, 0, -0.09, 0.04, 0.02, -0.03
The sum of the square of each data from the mean;
= (0.08)² + (-0.07)² + (0.09)² + (-0.04)² + (0.0)² + (-0.09)² + (0.04)² + (0.02)² + (-0.03)²
= 0.032
The variation of the data sample = (0.032)/9 = 0.0036
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the terminal side of an angle in standard position rotated one-sixth of a revolution counterclockwise from the positive x-axis. Describe how to find the measure of the angle in both degree and radian
Measure of the angle which is made by rotating a side as terminal side by one-sixth of a revolution counterclockwise is 60 degree and π/3 radian.
What is the terminal side of an angle?The terminal side of an angle is the rotated side of the initial side around a point to form an angle. This rotation can be clockwise or counter clock wise.
The terminal side of an angle in standard position rotated one-sixth of a revolution counterclockwise from the positive x-axis.
The total degree in a complete rotation of a side is 360 degrees. The side is rotated 1/6. Thus the angle is rotated is,
\(\theta=\dfrac{1}{6}\times360\\\theta=60^o\)
Multiply it with π/180 to find the measure of the angle in radian.
\(\theta=60\dfrac{\pi}{180}\\\theta=\dfrac{\pi}{3}\\\)
Hence, the measure of the angle which is made by rotating a side as terminal side by one-sixth of a revolution counterclockwise is 60 degree and π/3 radian.
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Apply the distributive property to factor out the greatest common factor. 56+32=56+32=56, plus, 32, equals
Answer:
8(7 + 4) = 88
Step-by-step explanation:
56:
1 x 56
2 x 28
4 x 14
7 x 8
32:
1 x 32
2 x 16
4 x 8
Answer:
8(7+4)
Step-by-step explanation:
Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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what number comes next? 4, 7, 11, 18, 29, ...
Answer:
47
Step-by-step explanation:
There's the pattern that you see:
4+7 = 117+11 = 1811+18 = 29Therefore, the next sequence is 18+29 = 47
assuming an interest rate of 5.4 percent, what is the value of the following cash flows four years from today? year cash flow 1 $ 3,000 2 4,040 3 5,885 4 7,975 multiple choice $23,120.48 $21,291.46 $22,178.61 $22,609.26 $23,631.70
The value of the cash flows four years from today is $22,609.26.
The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.
The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.
The value of the cash flows four years from today is $22,609.26.
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help with geometry PLEASE!
please help asap (answer only if you know the question)
The Equation of bisector 5x-7y+3=0 which is a straight line.
What is bisector?A straight line that divides an angle of a triangle in equal value.
What is perpendicular bisector?The line that lies perpendicular to a side and goes through the midpoint of its length.
Given, coordinate H (-7,2), K (3, -4) and L (5,4)
we plot a triangle HKL with this point.
midpoint of side HK is found by (-7+3)/2 and (2-4)/2
hence, midpoint of HK is (-2,-1) is denoted by P
the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.
so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)
y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]
y+1 = 5/7×(x+2)
7y+7= 5x+10
5x-7y+3=0
hence, the equation of bisector is 5x-7y+3=0
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A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.
show step by step 3/2 equals 18/12
Answer:
----------------------------------------
Step-by-step explanation:
when you multiply 3/2 by 6 you get 18/12
3/2 = 18/12
Divide 18 by 3: 18/3 = 6
Divide 12 by 2: 12/2 = 6
This shows that if you multiply 3/2 by 6 it will equal 18/12:
(3 x 6) / 2x6) = 18/12