Answer:
You have:
9 weeks ⇒ 116 assignments ⇔ 116/9 ≈ 13 a week9*5= 45 days ⇒ 116 assignments ⇔ 116/45 ≈ 2.6 a day2.25 months ⇒ 116 assignments ⇔ 116/2.25 ≈ 52 a monthIf you consider working weekends as well:
9*7 = 63 days ⇒ 116 assignments ⇔ 116/63 ≈ 2 a dayFor assignments to do for every 5-day week :
9 weeks = 116 assignments
∴ For every week = 116/9 = 13 assignments
________________________________
For assignments to do for every day :
9 weeks = 116 assignments
We have 5 days in 1 week
∴ 9 weeks = 9 × 5 = 45 days
∴ For every day = 116/45 = 3 assignments (approx.)
________________________________
For assignments to do for every month :
1 month = about 30 days
∴ 65 days = 2 months 5 days = 2.2 months (approx.)
∴ For every month = 116/2.2 = 52 assignments (approx.)
express 72 1/2 as a percentage
Answer:
7250%
Step-by-step explanation:
To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.
72 1/2 is equivalent to 72.5 as a decimal.
To convert it to a percentage:
72.5 * 100 = 7250
Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.
let me know it is helpful for you or not
I will give brainliest, if you get this correct
Answer: the estimated maintenance cost of cars when the age of cars is 12 years is 16.5 ( in 100 birr)
Step-by-step explanation:
To obtain the regression equation for costs related to age of cars, we can use the method of least squares. This method involves finding the line of best fit that minimizes the sum of the squared differences between the predicted values and the actual values.
The equation for a linear regression line is:
y = a + bx
where a is the y-intercept and b is the slope of the line.
To find the slope of the line (b), we can use the formula:
b = (n(∑xy) - (∑x)(∑y)) / (n(∑x^2) - (∑x)^2)
To find the y-intercept (a), we can use the formula:
a = (∑y - b(∑x)) / n
Given the data provided, we can calculate the following values:
∑x = 142
∑y = 150
∑xy = 2430
∑x^2 = 10304
n = 8
By substituting these values into the formulas for b and a, we can find the slope and y-intercept of the line:
b = (8(2430) - 142(150)) / (8(10304) - 142^2) = 0.5
a = (150 - 0.5(142)) / 8 = 13.5
Therefore, the regression equation for the costs related to age of cars is:
y = 13.5 + 0.5x
To estimate the maintenance cost of cars when the age of cars is 12 years, we can substitute x = 12 into the equation and solve for y:
y = 13.5 + 0.5(12) = 16.5
So the estimated maintenance cost of cars when the age of cars is 12 years is 16.5 ( in 100 birr)
Simplify the expression (-3r^2+13)+2r(r-6)-4r
Answer:
A potential energy function is given by U(x) = (3.6)x + (1.2)x3. What is the force function F(x) that is associated with this potential energy function
Step-by-step explanation:
Anoushka is planning a birthday party. She buys a huge bag of candy containing 96 fruit chews, 72 chocolates, and 68 lollipops. She wants to use all of the candy to make goody bags with the same number of fruit chews, the same number of chocolates, and the same number of lollipops in each bag.
Answer: 4 in each bag
Step-by-step explanation: If im not mistaken then im pretty sure that 4 is the gcf of 68 and all those numbers can also go to 4.
What is the answer to 3×-6=3
Answer:
x=3
Step-by-step explanation:
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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5. What is is mXW based on the figure shown? Assume YWis a diameter of the circle.
M
O
O
60°
120°
78°
42°
W
PRE
Answer:
60°
Step-by-step explanation:
180-78-42=60
Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are n = 6 trials, each with probability of success (correct) given by
p=0.35. Find the indicated probability for the number of correct answers.
Find the probability that the number of correct answers is fewer than 4.
P(X<4)=0
(Round to four decimal places as needed)
Answer:
0.9830 = 98.30%
Step-by-step explanation:
When do you know you can stop the long division process when converting a fraction to a decimal number?
Division stops after a certain number of steps as the remainder becomes zero and When division continues as there is a remainder after every step.
What is Division?a division is a process of splitting a specific amount into equal parts.
We can stop the long division process when converting a fraction to a decimal number.
There can be two situations in converting fractions to decimals:
When division stops after a certain number of steps as the remainder becomes zero.
When division continues as there is a remainder after every step.
Hence When division stops after a certain number of steps as the remainder becomes zero and When division continues as there is a remainder after every step.
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What is the equation of the following line written in slope-intercept form? Oy=-3/2x-9/2
Oy=-2/3x+9/2
Oy=3/2x-9/2
The equation of the line in slope-intercept form is: C. y = -3/2x - 9/2
How to Write the Equation of a Line?If we determine the slope value, m, and the y-intercept value of the line, b, we can write the equation of a line in slope-intercept form as y = mx + b by substituting the values.
Slope of a line (m) = change in y / change in x.
y-intercept of a line is the point on the y-axis where the value of x = 0, and the line cuts the y-axis.
Slope of the line in the diagram, m = -3/2
y-intercept of the line, b = -9/2.
Substitute m = -3/2 and b = -9/2 into y = mx + b:
y = -3/2x - 9/2 [equation in slope-intercept form]
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Find the value of x.
6
14
8
0
21
x = [ ? ]
3x-12
Answer: 7
Step-by-step explanation:
By the angle bisector theorem,
\(\frac{21}{14}=\frac{3x-12}{6}\\21(6)=14(3x-12)\\126=14(3x-12)\\9=3x-12\\21=3x\\x=\boxed{7}\)
Can someone please help me with this problem.
Answer:
Your answer is correct.
Step-by-step explanation:
Write an equation for a line parallel to g(x) = 3x − 1 and passing through the point (4, 9)
Answer: y=3x-3
Step-by-step explanation:
To find a line that is parallel to the function, we know that the slope must stay the same. Parallel lines NEVER cross. This means the slope MUST be the same. All we have to change is the y-intercept. We can use the given point to find the correct y-intercept.
y=3x+b [plug in (4,9)]
9=3(4)+b [multiply]
9=12+b [subtract both sides by 12]
b=-3
Now, we know that the y-intercept is -3, we can put together our equation. y=3x-3
scaler factor of 1/2
Dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.
What is dilation?
Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
Here, △ HIJ are:
IH = 3
IJ = 4
then using the scale factor = 1/2 we get
Therefore, we have:
I'H '= 1.5
I'J '= 2
Hence, dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.
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Please Help ~ Simple Calc. - Using the graph of g(x) below, answer the following questions:
#1
g(x)>0\(\\ \sf\longmapsto (0,0)\cup (2,0)\)
#2
g(x)<0\(\\ \sf\longmapsto (-11,0)\cup (0,0)\)
#3
g(x)=0\(\\ \sf\longmapsto \left[(1,0),(-2,0),(-6,0),(-11,0)\right]\)
#4#5#6
Will be same like #1#2#3 respectively
please help me
To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 12%.
Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
The exponential function showing the relationship is y = 2300(1 + 0.12)^t
The exponential function showing the relationshipThe exponential function showing the relationship between y and t can be written as:
y = 2300(1 + 0.12)^t
where 2300 is the initial number of bacteria cells, 0.12 is the growth rate (12% expressed as a decimal), and t is the time in hours since the start of the study.
This function is obtained by using the formula for exponential growth, which is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is the time.
In this case, a = 2300, r = 0.12, and y represents the amount of bacteria cells after t hours.
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will and olly share £80 in the ratio 3 : 2
Answer:
Will's share = 48
Olly's share = 32
Step-by-step explanation:
Will's share : Olly's share = 3:2
Will's share = 3x
Olly's share = 2x
3x + 2x = £ 80 {Combine like terms}
5x = 80 {Divide both sides by 5}
x = 80/5
x = 16
Will's share = 3x = 3*16 = 48
Olly's share = 2x = 2*16 = 32
I need help solving this
Answer:
The answer is the first one on the bottom left.
Step-by-step explanation:
Does eating a mint affect a person’s taste buds? To answer this question, students were randomly placed into two groups. One group had to eat a mint, and the other did not. Then all the students were given a cup that had one of two brands of ice tea. Students were asked to guess which brand of ice tea they had. The results are displayed below. Which of the following statements is true, according to the graph?
a. Students who ate a mint were more accurate guessers.
b. Students who did not eat a mint were more accurate guessers.
c. Students who did not eat a mint made more incorrect guesses.
d. Eating a mint did not have an effect on a student’s ability to guess the ice tea.
From the options available, the most correct option is
option(b): Students who did not eat a mint were more accurate guessers as they have a relative frequency of 68%.
What is meant by relative frequency?
A frequency is the number of times an event takes place. Comparing a number's repetition frequency to the sum of all other numbers' repetition frequencies is how relative frequency is calculated. Relative frequency is calculated by dividing an item's individual frequency by the total number of times it has been repeated.
From the graph, we can get the following information:
1) the relative frequency of the guessing the correct iced tea brand after eating the mint is 0.2 or 20% .
2) the relative frequency of the guessing the correct iced tea brand without eating the mint is 0.68 or 68% .
3) the relative frequency of the guessing the incorrect iced tea brand after eating the mint is 0.8 or 80%.
4) the relative frequency of the guessing the incorrect iced tea brand without eating the mint is 0.32 or 32%.
Therefore from the options available, the most correct option is
option(b): Students who did not eat a mint were more accurate guessers as they have a relative frequency of 68%.
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Question 1 of 15
Ahana swims laps on Tuesday and Thursday mornings. On
Thursday she swims 1 more than twice the number of laps
she swam on Tuesday.
If x represents the number of laps that Ahana swam on Tuesday, select the
expression that represents the total number of laps she swam on Tuesday
and Thursday
O A. 2x + 1
B. 3x + 1
O C. 2x + 2
O D. 3x - 1
Answer:
3x + 1
Step-by-step explanation:
solve for y
2x + 6y = -12
Answer:
y = -2
Step-by-step explanation:
Since, it's a linear equation in order to find the y- intercept very equate x to 0
2×0 + 6y = - 12
y = -12÷6
y = - 2
4.1.3 Bathu Sneakers have been looking into different shoebox sizes: a large box for male shoes and small box for female shoes. The cost of the cardboard to make the boxes is 0,502 cents/cm². Calculate the percentage savings Bathu Sneakers will make if the smaller box is used compared to the normal larger box. Larger Box Total Surface Area = 4 093 cm² 19 cm 26 cm 34,5 cm Smaller Box Total Surface Area = 3 034 cm² 25 cm 17 cm 26 cm (6)
Answer:
Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.
For the larger box:
Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²
Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)
For the smaller box:
Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²
Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.
Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)
The difference in cost between the larger and smaller boxes is:
20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)
The percentage savings can be calculated as follows:
Percentage savings = (difference in cost / cost of larger box) * 100%
= (5.33718 / 20.55986) * 100%
= 25.98%
Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Round to the nearest 10.
Answer:
Rounding numbers to the nearest 10 means finding which 10 they are nearest to. For example, 68 rounded to the nearest 10 is 70.i hope this helps
can you please help, i have a test tomorrow and i know nothing
Check the picture below.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{4}\\ o=\stackrel{opposite}{5.4} \end{cases} \\\\\\ x=\sqrt{ 4^2 + 5.4^2}\implies x=\sqrt{ 16 + 29.16 } \implies x=\sqrt{ 45.16 }\implies x\approx 6.7\)
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
Find all values of m for which the equation has two real solutions.
3x² + 7x- (m + 1) = 0
A jet flies 425 km from Ottawa to Québec at rate v + 60. On the return flight, the
plane encountered wind resistance and travelled at rate v - 40. What is the
difference in flight times of the initial and return flights?
Answer:
a. \( \frac{- 42,500}{(v + 60)(v - 40)} \)
Step-by-step Explanation:
Given:
Distance Ottawa to Québec = 425 km
Initial flight rate = v + 60
Return flight rate = v - 40
\( t = \frac{d}{r} \)
Required:
Flight times difference of the initial and return flights
Solution:
=>Flight time of the initial flight:
\( t = \frac{d}{r} \)
\( t = \frac{425}{v + 60} \)
=>Flight time of the return flight:
\( t = \frac{425}{v - 40} \)
=>Difference in flight times:
\( \frac{425}{v + 60} - \frac{425}{v - 40} \)
\( \frac{425(v - 40) -425(v + 60)}{(v + 60)(v - 40)} \)
\( \frac{425(v) - 425(40) -425(v) -425(+60)}{(v + 60)(v - 40)} \)
\( \frac{425v - 17000 -425v - 25500}{(v + 60)(v - 40)} \)
\( \frac{425v - 425v - 17000 - 25500}{(v + 60)(v - 40)} \)
\( \frac{- 42,500}{(v + 60)(v - 40)} \)
Fill in the missing value for the coordinate pair that lies on the graph of the function. y=52 (2,
The missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
How to determine the missing values?The equation of the function is given as:
y = 5^x
And the x value is given as
x = 2
To determine the missing value, we start by substituting 2 for x in the function y = 5^x
So, we have:
y = 5^2
Evaluate the exponent
y = 25
So, the complete coordinate is (2, 25)
Hence, the missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
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