Answer:
C = 8
Step-by-step explanation:
2/7 = c/28
Multiply to get c by itself
2/7 x 28 = c
Solve
2/7 x 28 = 8
C = 8
The value of c is 8 in the proportion 2/7=c/28.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given proportion is 2/7=c/28
Two divided by seven equal to c divided by twenty eight.
We have to find the value of c.
We find the value of c by applying cross multiplication
28×2=7c
56=7c
Divide both sides by 7
56/7=c
Divide numerator and denominator by 7
We get c=8
Hence, the value of c is 8 in the proportion 2/7=c/28.
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What is a translation
Answer:
translation means simply moving
What is moment of inertia and how to calculate It for a rod?
I = (1/12) ML² is a common way to write the moment of inertia of a rod whose axis passes through its center and has mass (M) and length (L).
What is moment of inertia?A body's moment of inertia, which is determined by multiplying each particle's mass by the square of its distance from the rotational axis, is what causes it to resist angular acceleration.A measurement of an object's resistance to changes in its rotating motion is the moment of inertia. A body's resistance to variations in rotation is measured by its cross-moment section's of inertia. Depending on how far away from the center of the body each component is. The moment of inertia is calculated as the sum of the mass of the section and the square of the distance from the centroid of the section to the reference axis.Therefore,
When the rod's axis passes through the end of the rod, the moment of inertia can also be stated using a different formula. In this instance, we apply I = 13 ML².
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Please answer with the work shown
The perimeter first figure that is made of a square and equilateral triangle is 52 cm.
What exactly are squares?
A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.
A square's most significant qualities are
The four inner angles are 90 degrees.The four sides of the square are congruent, or equal.The square's opposing sides are parallel.The diagonals of the square intersect at 90°.The square's two diagonals are equal to each other.The diagonal of a square is divided into two isosceles triangles.
Square area=(side)²
Square perimeter=4*side
Now,
For first figure given that
sides of square are 14 cm in length
and length of side of equilateral triangle are=5 cm
but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.
So, perimeter=3*14+2*5
=42+10
=52 cm
hence,
The perimeter first figure 52 cm.
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Jill can't wait to make a chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for 8 ounces of chocolate chip per loaf. If she has enough zucchini to make 4 loaves of zucchini bread, how many chocolate chips does she need?
Hello!!!
Answer:
3 3/8
Have a nice day!!!
complaints about an internet brokerage firm occur at a rate of 3 per day. the number of complaints appears to be poisson distributed. a. find the probability that the firm receives 2 or more complaints in a day. probability
The probability that the firm receives 2 or more complaints in a day is 0.33.
This can be calculated using the Poisson distribution formula. The Poisson distribution is a probability distribution used to calculate the probability of an event occurring a given number of times in a fixed interval of time or space.
It is based on the assumption that the rate of occurrence of an event is constant.
In this case, we are looking at the probability of the firm receiving 2 or more complaints in a day. Let x = 2, where x is the number of complaints in a day. Then, the Poisson distribution formula is: P(x) = (e-λ λx) / x!
Where e = 2.71828 and λ = 3 (the rate of complaints per day).
Plugging in the values, we get: P(2) = (2.71828-3 * 32) / 2! = 0.33. Therefore, the probability that the firm receives 2 or more complaints in a day is 0.33.
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Which of the statements is true for the two equations below?
Equation A: 3(2x-5)=6x-15
Equation B: 2+3x=3x-4
O Equation A has no solution and Equation B has an infinite number of solutions.
O Equation A and Equation B have no solution.
Equation A and Equation B have an infinite number of solutions.
Equation A has an infinite number of solutions and Equation B has no solution
The statement that is true for the two equations Equation A: 3(2x-5)=6x-15 and Equation B: 2+3x=3x-4 is that "Equation
A has an infinite number of solutions and Equation B has no solution".Explanation:To find the solution for the two equations, we will solve for each equation separately. Solution of equation A: 3(2x - 5) = 6x - 15 ⇒ 6x - 15 = 6x - 15 ⇒ 6x - 6x = -15 + 15 ⇒ 0 = 0
This is a true equation, which means that it is an identity. The equation can be written as 0 = 0. Any value that is inserted in this equation will result in a true statement. Hence the equation A has an infinite number of solutions. Solution of equation B: 2 + 3x = 3x - 4 ⇒ 2 + 4 = 3x - 3x - 4 ⇒ 6 = -4This is a false equation. It means that there is no value that can be inserted into the equation to make it a true statement. Therefore, the equation B has no solution. Hence the statement that is true for the two equations Equation A: 3(2x-5)=6x-15 and Equation B: 2+3x=3x-4 is that "Equation A has an infinite number of solutions and Equation B has no solution".
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you are a researcher studying the lifespan of a certain species of bacteria. a preliminary sample of 35 bacteria reveals a sample mean of hours with a standard deviation of hours. you would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 99% level of confidence. what sample size should you gather to achieve a 0.4 hour margin of error? round your answer up to the nearest whole number.
The sample size required to achieve a margin of error of 0.4 hours with a 99% level of confidence is 621.
To achieve a margin of error of 0.4 hours with a 99% level of confidence, you need to gather a sample size of 621 bacteria. The formula to calculate the sample size is given by:
n = [(Zα/2)2 · σ2] / (E2)
where n is the sample size, Zα/2 is the z-score, σ is the population standard deviation, and E is the margin of error.
For the given example, Zα/2 = 2.576, σ = hours, and E = 0.4. Plugging these values in the formula, we get n = 621. Thus, the sample size required to achieve a margin of error of 0.4 hours with a 99% level of confidence is 621.
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draw a figure for the triangle with ab
Step-by-step explanation:
figure for the triangle with ab
I Need help!!! please??
Answer:
-25/12
Step-by-step explanation:
Hope this helps
a garden that is 5 feet by 6 feet has a walkway that is 2 feet wide around it. what is the amount of fencing needed to surround the walkway?
The amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet. Let us first calculate the perimeter of the garden by adding all the sides together.
The garden is 5 feet by 6 feet, so its perimeter is:2(5) + 2(6) = 10 + 12
= 22 feet
Now, we have to add the walkway's width around the garden to the dimensions of the garden. Since the walkway is 2 feet wide on all sides, we add 4 feet (2 feet on each side) to the width of the garden and 4 feet to its length. Therefore, the new dimensions of the garden, including the walkway, are:
5 + 2 + 2 = 96 + 2 + 2
= 8
So the dimensions of the garden, including the walkway, are 9 feet by 8 feet.Now, we need to calculate the perimeter of the walkway. The perimeter is calculated as follows:
2(9) + 2(8) = 18 + 16
= 34 feet.
The question asks for the amount of fencing required to surround the walkway. Therefore, we subtract the perimeter of the garden from the perimeter of the walkway to obtain the required amount of fencing.
34 - 22 = 12 Therefore, the amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet.
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Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
brainliest Plsssss
3x+18=3(x+6)please help
Answer: X = 4
Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.
The last one the one at the bottom
Answer:
Step-by-step explanation
Her bank account decreased by 3 times.
Please let me know if this helps you!
Fill in the table using this function rule. y=-3x-3
Answer:
When x = -2, y = 3
When x = -1, y = 0
When x = 0, y = -3
When x = 1, y = -6
Step-by-step explanation:
Given:
y = -3x - 3
Fill in the table using the following value for x
When x = -2
y = -3x - 3
y = -3(-2) - 3
y = 6 - 3
y = 3
When x = -2, y = 3
When x = -1
y = -3x - 3
y = -3(-1) - 3
y = 3 - 3
y = 0
When x = -1, y = 0
When x = 0
y = -3x - 3
y = -3(0) - 3
y = 0 - 3
y = -3
When x = 0, y = -3
When x = 1
y = -3x - 3
y = -3(1) - 3
y = -3 - 3
y = -6
When x = 1, y = -6
An air mattress originally containing 24 cubic feet of air was deflated at a rate of 3 cubic feet of air per minute.
Which of the graphs correctly models the situation?
I had this question on a quiz. The answer is B if I remember correctly.
Maria calls her mother 5 times every week. Let w represent the number of weeks and c represent the total number of times Maria calls her mother. DO NOT use spaces in your equation.
Answer:
Equation: 5w = c
Step-by-step explanation:
\({ \tt{w \: \alpha \: c}} \\ { \tt{w = kc}}\)
k is a constant of proprtionality
\({ \tt{1 = (k \times 5)}} \\ { \tt{k = \frac{1}{5} }}\)
» Therefore, equation becomes:
\({ \tt{w = \frac{1}{5}c }} \\ \\ { \boxed{ \tt{5w = c}}}\)
Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $725 per week. What were her sales last week if her total earnings for the week were $1,087.50?
Answer:
362.5 I guess
Step-by-step explanation:
1087.50-725 = 362.5
What is the value of 18 − 3k + 9 when k = 4?
pls help!!
Answer:
15 I think. not fully shore though
Step-by-step explanation:
Multiply 3x4. then 18-12=6. lastly add 9
Answer:
15
it is given that. k= 4
so, putting the value of k. in
given equation = 18 - (3*4 ) + 9
18 - 12 + 9 = 15
hope it helps
How many significant figures would this calculation have if it were completed: \[ (9.04-8.23+21.954+81.0) \times 3.1416 \]
A) 3 B)4 C)5 D)6
The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
To determine the number of significant figures in a calculation, we follow the rules for significant figures:
1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.
Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).
Now, multiplying this result by \(3.1416\) gives \(329.5719744\).
The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.
According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.
Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
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find an equation for a line perpendicular to y=2x-3, passing through the origin.
i need help please
Write an equation in slope intercept form for the following graph.
Answer:
y = - 0.5x + 3Step-by-step explanation:
Take two points on the line:
(0, 3) and (2, 2)The slope-intercept form:
y = mx + b, where m- slope, b- y-interceptFind the slope:
m = (2 - 3) / (2 - 0) = - 1 / 2 = - 0.5The y- intercept is b = 3 according to the first point.
The line is:
y = - 0.5x + 3Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge the same prices. Will's Watersports made a total of $780 from renting 12 jet skis and 9 kayaks. Family Fun Rentals made a total of $570 from renting 7 jet skis and 11 kayaks. What is the cost of each type of rental?
Answer:
To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Step-by-step explanation:
Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:
Will's shop:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570
\(\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\\)
We can isolate "x" on the second equation, we have:
\(x = \frac{570 - 11y}{7}\)
Applying this value on the first equation:
\(12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20\)
Applying the value of "y" we found on the "x" equation above, we have:\(x = \frac{570 - 11*20}{7}\\x = 50\\\)
Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
if y is a positive integer, for how many different values of y is a whole number?
A positive integer y is a whole number by definition, so we are essentially being asked how many positive integers there are. There are infinitely many positive integers, so the answer to the question is also infinity.
A positive integer y is a whole number if it isn't a bit or a numeric. In other words, it's a number that can be expressed without using fragments or numbers, and can be written as a finite sum of positive integers. For illustration, 2, 5, and 10 are whole figures, but3/4,1.5, and √ 2 are not. To determine how numerous different values of y are whole figures, we need to understand the parcels of whole figures.
Whole figures have two main parcels they're closed under addition and addition. This means that when you add or multiply two whole figures, the result is always a whole number. For illustration, 2 3 = 5 and 2 × 3 = 6, both of which are whole figures. To find how numerous different values of y are whole figures, we can start with the lowest possible value of y, which is 1.
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Tubs of yogurt weigh 1.0 lb each, with a standard deviation of 0.06 lb . At a quality control checkpoint, 12 of the tubs taken as samples weighed less than 0.88 lb. Assume that the weights of the samples were normally distributed. How many tubs of yogurt were taken as samples?
Approximately 1 tub of yogurt was taken as a sample.
To solve this problem, we can use the concept of the standard normal distribution and z-scores.
First, we calculate the z-score for the weight of 0.88 lb using the formula:
\(z = (x - \mu) / \sigma\)
where x is the observed weight, \(\mu\) is the mean weight, and \(\sigma\) is the standard deviation.
In this case, x = 0.88 lb, \(\mu\) = 1.0 lb, and \(\sigma\) = 0.06 lb.
z = (0.88 - 1.0) / 0.06
z = -0.12 / 0.06
z = -2
Next, we look up the corresponding cumulative probability for z = -2 in the standard normal distribution table. The table gives us a cumulative probability of approximately 0.0228.
Since we want to know how many tubs of yogurt weighed less than 0.88 lb, we are interested in the area to the left of the z-score -2. This area represents the proportion of tubs that weigh less than 0.88 lb.
Now, we can use the inverse of the cumulative distribution function (CDF) to find the corresponding z-score for the cumulative probability of 0.0228. This will help us determine the number of tubs that correspond to this area.
Using a standard normal distribution table or a calculator, the inverse CDF for a cumulative probability of 0.0228 gives us a z-score of approximately -2.05.
Finally, we can calculate the number of tubs of yogurt taken as samples by rearranging the z-score formula:
\(z = (x - \mu) / \sigma\)
Rearranging for x:
\(x = z * \sigma + \mu\)
x = -2.05 * 0.06 + 1.0
x = -0.123 + 1.0
x \(\approx\) 0.877
Since the weight of each tub is 1.0 lb, the calculated value of x (0.877) represents the proportion of tubs that weighed less than 0.88 lb.
To determine the number of tubs, we divide the observed weight (0.88 lb) by the calculated value (0.877):
Number of tubs = \(0.88 / 0.877 \approx 1\)
Therefore, approximately 1 tub of yogurt was taken as a sample.
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Below shows the academic level values of the data set in (c). Apply formulas to calculate the average number of publications per faculty. unit Mi Yi 6 62 2.25
9 48 0.25
11 41 5.50
14 65 1.75
16 10 0.50 19 62 1.25 21 61 2.00
23 25 1.25
14 65 0.75
14 65 1.00 If the first stage is PPS without replacement. What is the inclusion probability for unit 6 (PSU level)?
To calculate the inclusion probability for unit 6 (PSU level) in the first stage of PPS without replacement, we need to divide the number of sampling units in the population by the total number of sampling units selected in the first stage.
Looking at the provided data, we can see that there are a total of 10 sampling units (Mi) in the dataset.
In PPS without replacement, the first sampling unit is selected with certainty. So, the inclusion probability for unit 6 (PSU level) is:
Inclusion probability = 1 / Total number of sampling units selected in the first stage
= 1 / 10
= 0.1
Therefore, the inclusion probability for unit 6 (PSU level) in the first stage of PPS without replacement is 0.1 or 10%.
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How do I do this and show work
We are given the expression:
\(\frac{\sqrt{2} }{3} = -\frac{2}{3} Sin\theta\)
\(\sqrt{2}} = -2 Sin\theta\) [multiplying both sides by 3]
\(Sin\theta = \frac{\sqrt{2}}{-2}\) [Dividing both sides by -2]
\(Sin\theta = \frac{-1}{\sqrt{2}}\)
which means:
\(\theta = Sin^{-1}(\frac{-1}{\sqrt{2}} )\)
\(\theta = -Sin^{-1}(\frac{1}{\sqrt{2}} )\)
θ = -45° [because \(Sin^{-1}(\frac{1}{\sqrt{2}})\) = 45°]
Hence, the answer is -45° OR (360-45) = 315°
Write the equation of the line described below in slope-intercept form.
Find the equation of the line that is parallel to
the line y = x + 9 and passes through the
point (-10,-8). Write the equation in slope-
intercept form.
\(\huge\boxed{\mathcal{HELLO!:)}}\)
\(\star\bigstar\star\) Parallel lines have the same slope. Remember, parallel lines never intersect. Lines with the same slope, but different y-intercepts will not intersect.
\(\star\bigstar\star\)Now, we have the slope of the line and a point that it passes through.
We can use the Point-Slope Formula:
\(\huge\boxed{\bf{y-y1=m(x-x1)}}\)
Remember, y1 is the y-coordinate of the point, m is the slope, and x1 is the x-coordinate.
Plug in the values:
y-(-8)=1(x-(-10)
y+8=1(x+10)
y+8=x+10
y=x+10-8
y=x+2
\(\huge\boxed{\mathbb{ANSWER:{\boxed{\bf{y=x+2}}}}}\)
\(\star\bigstar\star\) I hope it helps you!
\(\bold{Have~a~great~day!}\)
\(\rm{FabulousKingdom:-)\)
Sage travels around a go-cart track
every 3 minutes. Marcus travels
around it every 4 minutes, and
Thomas travels around it every
6 minutes. They all start together.
How long will it be until they all
three get back to the start at the
same time?
A 6 minutes
B 12 minutes
C 18 minutes
D 24 minutes
Answer:
B. 12 minutes
Step-by-step explanation:
3. 4. 6
6. 8. 12
12. 12
Identify the numerical coefficient of the terms (other than the constants) in the following expressions. (a)5x - 6 (b) 6-4g2 (c) 2x2+4y3 (d) -29y3+0ꓸ1z-3.14
Answer:
HELP YOU NOY
Step-by-stHEep explanation:
bfbfbbgbrhgbrbg
the base of a solid is the region enclosed by y=-x^2/9 4 and y=0
So the area of the base of the solid is 16 square units.
The base of a solid is the region enclosed by y=-x^2/9 4 and y=0. This region can be found by finding the intersection points of these two equations and then integrating the difference between the two functions.
First, we need to find the intersection points of these two equations. To do this, we can set the two equations equal to each other and solve for x:
y=-x^2/9 4 = y=0
x^2/9 4 = 0
x^2 = 36
x = ±6
So the intersection points are (6,0) and (-6,0).
Next, we need to find the area of the region between these two functions. This can be done by integrating the difference between the two functions:
∫(-x^2/9 4 - 0)dx from -6 to 6
= ∫(-x^2/9 4)dx from -6 to 6
= (-1/9)∫x^2dx from -6 to 6
= (-1/9)(x^3/3) from -6 to 6
= (-1/9)(216/3 - (-216/3))
= (-1/9)(144)
= -16
So the area of the base of the solid is 16 square units.
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