Answer:
A well defined collection of distinct objects
The set of Prime numbers
Step-by-step explanation:
marci car has a 12 gallon gas tank her fuel gauage says that there is 1/8 of a take left how many gallons of gas arelifet in the tank
The amount of gas that is left in the tank if there is only 1 / 8 of the tank is 1.5 gallons
How to calculate for amount in gallon?The car tank can accommodate 12 gallons of gas .
Her fuel gauge says that there is 1 / 8 of the tank left in the car tank.
Therefore, the amount of gas that is left in the tank is calculated as follows:
amount left in the tank = 1 / 8 × 12
amount left in the tank = 12 / 8
amount left in the tank = 6 / 4
amount left in the tank = 3 / 2
amount left in the tank = 1.5 gallons
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2950 divided by 67 in partial quotints
Answer:
Math answers to fraction 2950 divided by 67 can be calculated as follows.
2950/67 math problems division = 44.0298507463. Therefore 44.0298507463 to 2 decimal places= 44.03
2950/67 divided by 2 » (2950/67) ÷ 2 » 44.0298507463 ÷ 2 = 22.0149253731 . Check 2950/67 long division below
Step-by-step explanation:
A basketball player made 85 out of 100 attempted free throws. What percent of free throws was
made?
Answer:
85%
Step-by-step explanation:
to find percent of the throws made put (throws made/total free throws)*100
so (85/100)*100= 85%
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Find the exponential function that contains the points (2,10) and (3,5)
Step-by-step explanation:
you mean to say 2 to the power of 10 and 3 to the power of 5
Identify the mean, median, mode, and range of the data set. 7, 6, 8, 12, 9, 13, 8
The mean is approximately 9, the median is 9, the mode is 8, and the range is 7.
To find the mean, we add up all the numbers in the data set and divide by the total number of numbers:
Mean = (7 + 6 + 8 + 12 + 9 + 13 + 8) / 7 = 63 / 7 ≈ 9
So the mean is approximately 9.
To find the median, we need to arrange the numbers in order from smallest to largest:
6, 7, 8, 8, 9, 12, 13
Since there are an odd number of values in the data set, the median is the middle value, which is 9.
To find the mode, we need to look for the value that occurs most frequently in the data set. In this case, 8 occurs twice, which is more than any other value, so the mode is 8.
To find the range, we need to subtract the smallest value from the largest value:
Range = largest value - smallest value = 13 - 6 = 7
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What is the step by step process of multiplying matrices?
Answer:
sooo Step 1: Make sure that the the number of columns in the 1st one equals the number of rows in the 2nd one. ...
Step 2: Multiply the elements of each row of the first matrix by the elements of each column in the second matrix.
Step 3: Add the products.
hope I helped u
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
jemma can walk 5 1/2 km each hour. how far can she walk in 2 1/4 hours
Answer:
Step-by-step explanation:
To find how far Jemma can walk in 2 1/4 hours, we need to multiply her walking speed by the time she walks:
Distance walked = Speed x Time
Jemma can walk 5 1/2 km each hour, which is the same as 11/2 km/hour.
The time she walks is 2 1/4 hours, which can be written as 9/4 hours.
So,
Distance walked = (11/2) km/hour x (9/4) hours
Distance walked = 99/8 km
Distance walked = 12 3/8 km
Therefore, Jemma can walk approximately 12 3/8 km in 2 1/4 hours.
Use two unit multipliers to convert 75 square inches to square feet.
In order to use two unit multipliers we will convert from square inches to cm using the following unit multiplier:
\(\frac{6.4516}{1^{}}\frac{cm^2}{in^2}\text{.}\)and then we will convert from square cm to square feet, using the following unit multiplier:
\(\frac{0.00107639}{1}\frac{ft^2}{cm^2}.\)Answer:
\(75in^2=75in^2(\frac{6.4516}{1^{}}\frac{cm^2}{in^2})(\frac{0.00107639}{1}\frac{ft^2}{cm^2})=0.520833ft^2.\)Simplify your answer as much as possible.
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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WILL GIVE U BRAINLIEST
What is the value of x?
A. 100 degrees
B. 50 degrees
C. Not enough info
D. 60 degrees
Answer:
B. 50
Step-by-step explanation:
180-80=100
100 divided by two equal angles is 50.
Express each of the following in km/h.
(a) 8.4 km/min (b) 315 m/s
(c) 242 m/min (d) 125 cm/s
Answer:
Step-by-step explanation:
Define a rational number and show that no rational number x belongs to Q satisfies x² = 2
Answer:
A rational number is a number that can be expressed as a fraction of two integers.
if x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.
Step-by-step explanation:
Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of cars
1 2 3
4
5
6
7 8 9 10 11 12
52 76 90 75 91 104 89 105 119 103 121 135
The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.
How to explain the valueThe period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.
Hour | Number of cars
------- | --------
1 | 90
2 | 52
3 | 76
4 | 75
5 | 91
6 | 104
7 | 89
8 | 105
9 | 119
10 | 103
11 | 121
12 | 135
As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.
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Find the slopes of the curve y^4=y^2-x^2 at the two points shown here.
The slope of the curve y⁴ = y² - x² is 1 and repeat the process for the second point.
Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.
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What is 12.325 + 8.274
Answer:
20.599
Step-by-step explanation:
Answer:
12.325 + 8.274 = 20.599
Me ayudais por favor
Answer:
x= - 52
Step-by-step explanation:
we need to multiply both sides by 4 to leave the x alone
so
\(\frac{-x}{4} *4= 13*4\\-x= 52\\\frac{-x}{-1}=\frac{52}{-1}\\ x=-52\)
A rectangle that is 9 meters long has an area of 36 square meters what is the perimeter
Answer:
the perimeter of the rectangle is 26 meters.
Step-by-step explanation:
To find the perimeter of the rectangle, we need to know its width. We can find the width by dividing the area by the length:
width = area / length = 36 / 9 = 4 meters
Now we can use the formula for the perimeter of a rectangle:
perimeter = 2(length + width)
Substituting the given values, we get:
perimeter = 2(9 + 4) = 2(13) = 26 meters
Therefore, the perimeter of the rectangle is 26 meters.
A person invested $880 in an account growing at a rate allowing the money to double every 6 years. How much money would be in the account after 13 years, to the nearest dollar?
Answer:
$3,951
Step-by-step explanation:
The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...
2^(13/6) ≈ 4.489848
Its value will be ...
$880·4.489848 ≈ $3,951
Don’t get the steps don’t tell me the answer tho. Just tell me the steps ( I don’t want to cheat)
D. 4032 cups
Step-by-step explanation:
336 x 12 = 4032
Hope this helps!
Answer:
4,032
Step-by-step explanation:
Just multiply 336 times 12. This is becuase they are not asking for adele's amount.
write an expression to show the total number of songs on Iris's playlist after w weeks
120 + 4w is the expression to show the total number of songs on Iris's playlist after w weeks.
She total ahs 120 songs already
She downloads or adds 4 songs every week
An expression to show the total number of songs on Iris's playlist after w weeks is:
120 + 4w
What is an mathematical expression?An expression or mathematical expression is a limited combination of symbols that is well-formed according to context-dependent norms. To help identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
Many authors differentiate between an expression and a formula, with the former referring to a mathematical item and the latter referring to a statement about mathematical objects.
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You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 4.2 percentage points of the true population percentage.
Answer:
545 randomly selected air passengers must be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
Assume that you want to be 95% confident that the sample percentage is within 4.2 percentage points of the true population percentage.
We dont know the true proportion, so we use \(\pi = 0.5\), which is when the largest sample size will be needed. We have to find n for which \(M = 0.042\). So
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.042 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)
\(0.042\sqrt{n} = 1.96*0.5\)
\(\sqrt{n} = \frac{1.96*0.5}{0.042}\)
\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.042})^2\)
\(n = 544.4\)
Rouding up
545 randomly selected air passengers must be surveyed.
For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.
Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.
Answer:
The margin of error is \(E = 6.9 \)
The 95% confidence interval is \( 26.5 < \mu < 40.3 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 31
The mean is \(\mu = 33.4 \ ng/ml\)
The standard deviation is \(\sigma = 19.6 \ ng/ml\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.96 * \frac{19.6 }{\sqrt{31 } }\)
=> \(E = 6.9 \)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
=> \( 33.4 - 6.9 < \mu < 33.4 + 6.9 \)
=> \( 26.5 < \mu < 40.3 \)
What is the y-intercept of the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the
point (15,-5)?
O y=x-20
O y=-3x+20
0 v= 2 X-20
O y=-3x+20
Answer: y=-5/3x+20 or y=-1 2/3x+20, so 20.
Step-by-step explanation: Actually, neither one of those options are correct. You may recall that the slope of the perpendicular line would be the exact opposite, the reciprocal, of the given line. The exact opposite of 3/5x is -5/3x, which could be reduced to -1.5x. From there, you could substitute x and y, which are 15 and -5 in this case, into the y=mx+b equation:
-5=-5/3(15)+b *b is y-intercept*
-5=-25+b Multiplied -5/3 by 15 first
-20=b Subtracted -25 from both sides (it'd be --25, so
basically just +25)
20=b Reciprocate b because you need the opposite
Hope this helps,
Lacia :))
Help me please. I will mark brainliest
Answer:
Well, parallel lines have the same slope so I think the second option is the answer
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Profit = Revenue - Cost: P = R - C
(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.
Answer:
(a) R = P +C
Revenue= Profit + Cost
(b) R = $6000
Step-by-step explanation:
(b) R = $4525 + $1475
= $6000
Solve ABC using diagram and the given measurement A=64 a=7.4
The value of angle ABC is 26°
What is a value ?
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.
Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.
to find the ∠ABC
we know ∠CAB = 64° and ∠BCA = 90°
let ∠ABC be x
x + 64 + 90 = 180
x = 180 - 64 - 90
= 26°
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Assume that the situation can be expressed as a linear cost function. Find the cost function in this case.
Marginal cost: $15; 150 items cost $5500 to produce.
The linear cost function is C(x) =
The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .
The linear operate is expressed as y = mx + b .....(1)A linear value operate expresses value as a linear operate of the amount of items;Let C(x) is that the total value, and x is that the range of things.
The slope "m" is named the cost and "b" is named the charge.
The value of m is $15 and the price of "x" is 150.
Total cost of 150 items are $5500
Substitute all the values within the equation (1) , we get
5500 = 15 (150) + b
5500 = 2250 + b
3250 = b
Hence , linear cost function is given by C(x) = 15x + 3250
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