Answer:
Pay Rate = Constant of Proportionality = E/h
Step-by-step explanation:
Recall this formula: Total Pay = (Hourly Pay Rate)*(Number of Hours Worked)
Apparently there was a graph associated with this problem; it's up to you to share all instructions and other info that comes with your question.
Rewriting Total Pay = (Hourly Pay Rate)*(Number of Hours Worked), using E for total earnings and h for the number of hours worked, we get:
E = (Hourly Pay Rate)*h
The relevant constant of proportionality is found by dividing E by h:
Pay Rate = Constant of Proportionality = E/h
helllohello help please if you want -
Hey Hey! It's me again!
Answer:
The variable u divided by the variable x.
Use Delta y = f'(x) Delta x to find a decimal approximation of the radical expression. 124 What is the value found using Delta y f' (x) Delta x? 124 = (Round to three decimal places as needed.)
Using Delta y = f'(x) Delta x to find a decimal approximation of the radical expression, we get the value found using Delta y f' (x) Delta x is 124.176.
The Delta y = f’(x) Delta x is the linear approximation formula used in calculus to estimate the value of an unknown function based on its derivative at a particular point.
In order to solve the problem using Delta y = f’(x) Delta x, we first have to rewrite the radical expression in terms of a function.
Let the function f(x) = sqrt(x) represent the radical expression.
Then, we will find the value of f'(x) by differentiating the function f(x) using the Power Rule of differentiation.
f(x) = sqrt(x) f'(x) = 1/2x^(-1/2)
Next, we will substitute the given value of x in the function f(x) and f’(x) to solve for Delta y = f'(x) Delta x.
Given, x = 124
Delta x = 2 Δy = f’(x) Δx = 1/2 * 124^(-1/2) * 2 = 0.1762
Hence, the decimal approximation of the radical expression is 124.176.
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Monica wants to open a savings account with a deposit of $3,000. Monica will not make any additional deposits or withdrawals after she opens the account. Her bank offers two different savings accounts. Account X pays 2.1% simple annual interest. Account Y pays 2.4% interest compounded annually. Which statement about these accounts at the end of 5 years is true?
The statement that is true is Account Y would earn Monica about $62.70 more interest than Account X. The correct option is the second option
Simple interest and Compound interest: Determining the true statementFrom the question, we are to determine the statement that is true about the accounts.
To do this, we will determine the simple interest that account X would earn and the compound interest account Y would earn.
Calculating the simple interest account X would earn
Using the formula for simple interest,
Simple interest = PRT
Where P is the principal
R is the rate
and T is the time
From the given information,
P = $3000
R = 2.1% = 0.021
T = 5
Thus,
Simple interest = 3000 × 0.021 × 5
Simple interest = $315
Now we will calculate the compound interest that account Y would earn
From the compound interest formula, we have that
Compound interest = P(1 + r/n)^nt - P
Where P is the principal
r is the interest rate
n is the number of times compounded per year
and t is the time.
From the given information
r = 2.4% = 0.024
Thus,
Compound interest = [P(1 + r/n)^nt] - P
Compound interest = [3000(1 + 0.024/1)^1(5)] - 3000
Compound interest = 3377.70 - 3000
Compound interest = $377.70
Calculate the difference in interest from the two account
$377.70 - $315 = $62.70
Hence, account Y would earn $62.70 more
Here is the complete question:
Monica wants to open a savings account with a deposit of $3,000. Monica will not make any additional deposits or withdrawals after she opens the account. Her bank offers two different savings accounts. Account X pays 2.1% simple annual interest. Account Y pays 2.4% interest compounded annually. Which statement about these accounts at the end of 5 years is true?
Account X would earn Monica about $62.70 more interest than Account Y.
Account Y would earn Monica about $62.70 more interest than Account X.
Account X would earn Monica about $45.00 more interest than Account Y.
Account Y would earn Monica about $45.00 more interest than Account X.
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How many times bigger is a group of 21 marbles than a group of 7 marbles?
Answer:
21/7=3
3 times bigger.
Step-by-step explanation:
Find the value of y
Answer:
the answer will be d=130
Step-by-step explanation:
substruct 110 minus 50 we get 60
Please answer ASAP!!!
Answer:
if im not mistaken the answer is 21?
Step-by-step explanation:
Answer:
The perimeter is 24
Step-by-step explanation:
BD = AD and we know that AD is 3 so we know the little side is exactly 6 long.
Because they are right triangles, both of the long sides are equal.
AC is 9 so BC must also be 9.
We break this into 9 + 9 + 6 which equals 24
Car sales increased steadily from March to August *
True
False
Answer:
i think it is true
Step-by-step explanation:
mark me as brainliest and follow and like my answer
Answer:
False
Step-by-step explanation:
Car sales increased steadily from
May to July
As you can see I have pointed the months with red dots
What is the median of this set of data?
362, 187.211,298,331,250, 347, 199
Answer:
274
Step-by-step explanation:
187, 199, 211, 250, 298, 331, 347, 362 <<< First order least to greatest
187, 199, 211, 250, 298, 331, 347, 362 <<< Since there are an even amount of terms, take the middle TWO numbers
(250+298)/2 = 548/2 = 274 <<< Take the mean of the two numbers
Your final answer is 274!
Hope this helps!
Answer:
274
Step-by-step explanation:
1.Arrange your numbers in numerical order.
2.Count how many numbers you have.
3.If you have an odd number, divide by 2 and round up to get the position of the median number.
4.If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
the tendency of group members to exert less effort when they work in groups than they would exert if they were acting alone is known as
The tendency of group members to exert less effort when they work in groups than they would exert if they were acting alone is known as social loafing.
Social loafing is a common phenomenon that occurs when individuals feel that their individual effort will not significantly affect the group's overall performance or when they believe that other group members will compensate for their lack of effort.
This phenomenon can be observed in various group settings, such as in work teams, sports teams, and even in classroom group projects. The lack of accountability and the diffusion of responsibility that occur in groups can contribute to social loafing.
Social loafing can have negative consequences on group performance, as it can decrease the overall quality of the group's output and reduce motivation among group members.
To mitigate social loafing, it is important to establish clear roles and responsibilities for each group member and to provide regular feedback and recognition for individual contributions.
Additionally, creating a sense of collective identity and establishing group goals can also help to combat social loafing by promoting a sense of shared responsibility and commitment to the group's success.
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Howdoyouwrite
4
5
asapercentage?
Answer:
80%
Step-by-step explanation:
4/5 as a percentage would be 8/10ths, or 80%
By multiplying the fraction to get a denominator of 10, you get 8 over 10. Therefore it would be 80 percent of 100.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
\(16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)
find two positive numbers such that the sum of the first plus 5 times the second is 50 and their product is maximum. what is the maximum product for this situation?
The two numbers that satisfy the conditions of the problem are x = 25 and y = 5. The maximum product is xy = 25*5 = 125.
Let's call the two numbers we are looking for "x" and "y". We want to find two positive numbers such that:
x + 5y = 50 (the sum of the first number and five times the second number is 50)
xy is maximum (the product of the two numbers is maximum)
To solve this problem, we can use the method of substitution. From the first equation above, we can solve for one variable in terms of the other:
x = 50 - 5y
We can substitute this expression for x into the second equation:
xy = (50 - 5y)y
xy = 50y - 5y^2
This is a quadratic function in y. To find the maximum value of xy, we need to find the vertex of this parabola. The x-coordinate of the vertex is given by:
x = -b/(2a)
where a = -5 and b = 50. Substituting these values, we get:
y = -50/(2*(-5)) = 5
So, the second number we are looking for is y = 5. To find x, we can use the first equation:
x + 5y = 50
x + 25 = 50
x = 25
Therefore, the two numbers that satisfy the conditions of the problem are x = 25 and y = 5. The maximum product is xy = 25*5 = 125.
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A traffic engineer states that the mean improvement is between 582.5 and 727.5 vehicles per hour. With what level of confidence can this statement be made
The confidence level with which this statement can be made is this: 90%
How to determine the confidence levelTo determine the confidence level for the given measurements, we will first determine the z-score with the formula: z = (x − μ)/ σ
First;
z * 311./√50
= 727.5 - 582.5 /2
= 72.5
z score = 72.5 *√50/ 311.7
= 1.6447
But, Z ≤ 1.6447 = 0.95, and,
Z > 1.6447 = 0.05
α/2 = 0.05
So, 1 - α = 0.09 or 90%.
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Put the numbers in order from least to greatest.
4.27, 2.704, 4.2, 2.74, 4.72
Answer: In order least to greatest, our answer would be-
2.704 , 2.74 , 4.2 , 4.27 , 4.72
.70 is less than .74. In the second set of numbers .2 is less than .27, while they are all less than .72, which gives us the number arrangement above.
I hope this helped & Good Luck!!!
Answer: The answer is 2.704, 2.74, 4.2, 4.27, 4.72
Step-by-step explanation:
The mean is μ = 60.0 and
the standard deviation is
σ = 4.0. Find the probability
that X is less than
53.0. 0.0401.
The probability for the given mean and standard deviation with X is less than 53.0 is equal to 0.0401 or 4.01% approximately.
Mean 'μ' = 60.0
Standard deviation 'σ' = 4.0.
To find the probability that X is less than 53.0,
Use the standard normal distribution.
First, standardize the value of 53.0 using the mean and standard deviation ,
The standardization formula is,
Z = (X - μ) / σ
Where,
Z is the standardized value (Z-score)
X is the value of interest
μ is the mean
σ is the standard deviation
Plugging in the values,
Z = (53.0 - 60.0) / 4.0
⇒Z = -7 / 4
⇒Z = -1.75
Now, the probability associated with this standardized value using a standard normal distribution calculator.
Using a standard normal distribution calculator,
The probability corresponding to Z = -1.75.
The area under the curve to the left of the Z-score.
The probability of X being less than 53.0 can be found as P(X < 53.0) = P(Z < -1.75).
The Z-score -1.75 in the standard normal distribution calculator, the probability is approximately 0.0401.
Therefore, the probability that X is less than 53.0 is approximately 0.0401 or 4.01%.
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The above question is incomplete, the complete question is:
The mean is μ = 60.0 and the standard deviation is σ = 4.0.
Find the probability that X is less than 53.0.
0.0401
0.0802
0.9599
0.5589
8. Alvin purchased $1,300,000 worth of videogame set and made a $150,000 down payment. He agreed to pay the balance by making equal payments at the end of each month for 20 years. What is the size of the monthly payment if the interest charged is 16% compounded quarterly?
We have a purchase of $1,300,000.
The downpayment is $150,000 and the rest is financed.
We can calculate the amount that is owed as:
\(\begin{gathered} C=1,300,000-150,000 \\ C=1,150,000 \end{gathered}\)This amount will be paid in equal amounts, monthly for 20 years.
The interest rate is 16% compounded quarterly.
We have to start by converting the interest rate in a monthly-compounded equivalent rate.
A rate of 16% compounded quarterly (m=3) will be equivalent to a monthly rate r. We can calculate r as:
\(\begin{gathered} (1+r)^{12}=(1+\frac{0.16}{3})^3 \\ (1+r)^4=1+\frac{0.16}{3} \\ (1+r)^4\approx1+0.05333 \\ 1+r\approx1.0533^{\frac{1}{4}} \\ r\approx1.013-1 \\ r\approx0.013 \end{gathered}\)We then can calculate the payments as an annuity with r = 0.013 and 20*12 = 240 payments.
We can calculate the amount he will pay each month as:
\(\begin{gathered} P=\frac{r\cdot PV}{1-(1+r)^{-n}} \\ P=\frac{0.013\cdot1150000}{1-(1+0.013)^{-240}} \\ P=\frac{14950}{1-1.013^{-240}} \\ P=\frac{14950}{1-0.045} \\ P=\frac{14950}{0.955} \\ P=15654.45 \end{gathered}\)Answer: the monthly payment is approximately $15654.45.
PLEASE HELP WILL GIVE BRAINLIEST 3-4 pls do both
Answer:
first question: 24/40
second question: 36/5
Answer:
3. 24/5
4. 36/5
Step-by-step explanation:
For number 3, we can find the answer by multiplying 3/5 by 8, because the rabbits ate 3/5 of the celery in each garden. That's 3/5 eight times.
3/5 · 8/1 = 24/5
For number 4, we apply the rules of multiplication and solve A whole number can turn into a fraction by adding one as the denominator. Next, simply multiply the numerators by the denominators.
12/1 · 3/5 = 36/5
hope this helps!
Veronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. Which piece of information is missing for the correct calculation of velocity?
A)the starting point
B)the direction
C)the end point
D)the time per meter
Answer: the direction
Answer:
B). the direction
Step-by-step explanation:
Edgen 2021
14. 4) Use the point-slope formula and the given slope and point to find the linear equation in slope-intercept form.
3
4
M=-- and P= (2,-1)
3
Oy=-22-1
3
Oy=x- 1²/1
4
Oy= 28-³
E
34
3
Oy=-2/2 + 1/1/2
ہے
The linear equation in slope-intercept form is y = -2x -13.
What is slope intercept form?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.
The line with slope m and y-intercepts m and c is the graph of the linear equation y = mx + c. The values of m and c are real integers, and the form of the linear equation is known as the slope-intercept form. Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5.
y = mx + b
4 —5 = (-2 x —4) +b
4 —5 = 8 +b 4 b = —13
Write the equation in slope intercept form as:
y = MX ± b
4 y = (-2)x — 13
Hence, the equation of the line is
y = -2x -13
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Each shape is 1 whole. For numbers 13a–13e, choose Yes or No to show whether the number names the parts that are shaded
In each shape there are 4 wholes hence the answer is yes.
What are fractions?A fraction is referred to as the portion of a whole in mathematics. There are two components to a fraction: a numerator and a denominator. The numerator is the number at the top, and the denominator is the number at the bottom.
13a. There are 4 wholes, hence the answer is yes.
13b. Every whole is divided into 2 parts hence the total number of equal parts is 4 *2 = 8. Hence the answer is yes.
13c. The answer is yes.
13d. No
13e. No
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What is the awnser. Thank you
Answer:
Henry is correct
Step-by-step explanation:
add 4 to each sides of the equation
2x=16
Divide each side of the equation by 2
X=8
2x - 4 = 12
add 4 to both sides:
2x - 4 + 4 = 12 + 4
2x = 16
divide both sides by 2:
2x/2 = 16/2
x = 8
so Henry is correct.
write y-2=1/3(x+6) in standard form
The standard form of the equation in the point slope form is:
-x + 3y - 12 = 0
Given:
we have the equation as:
y - 2 = 1/3 (x+6)
Now, cross multiply:
3y - 6 = 1(x+6)
open the brackets:
3y - 6 = x+6
rearrange the like terms:
3y - x - 6 - 6 = 0
arrange the terms according to the standard form:
-x + 3y - 12 = 0
Hence we get the standard form of the equation as:
-x + 3y - 12 = 0
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In a region where there is a uniform electric field, the potential, v1, is 1. 3 v at position y1=26 cm. At position y2=28 cm , the potential, v2, is 3. 9 v. What is the change in electric potential energy of an alpha particle (charge = +2e) if it is moved from y1 to y3?.
The change in electric potential energy of an alpha particle is:
1.3V/cm
"Information available from the question"
In a region where there is a uniform electric field, the potential, v1, is 1. 3 v at position y1=26 cm.
At position y2=28 cm , the potential, v2, is 3. 9 v.
Now, According to the question:
Calculation of magnitude:
Since V1 is 1.3 V at position y1=26 cm. At position y2=28 cm, the potential, V2, is 3.9 V
So, We know that
\(E =\frac{V_2-V_1}{Y_2-Y_1}\)
\(E=\frac{3.9-1.3}{28-26}\)
\(E=\frac{2.6}{2}\)
E = 1.3V/cm
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Simplify the expression using the order of operations. 5^2 × (15 ÷ 3) =
Answer:
125
Step-by-step explanation:
5^2 × (15 ÷ 3) = 125
Answer:
125
Step-by-step explanation:
5² x 5 = 25 x 5 = 125
The average velocity of 25 taxies is 40 km/hr and the velocity of 35 trucks is 30 km/ hr. find the combined average velocity of both types of vehicles.
Answer:
70 km/hr
Step-by-step explanation:
You just have to add both of the average velocity as you are finding the combined average velocity of both vehicles
If working on stairs, which articulated ladder configuration should be used?
An articulated ladder should be utilized in a stepladder design for working on stairs. This structure is especially built for stairway safety and stability, with movable legs that can be placed to different heights to suit uneven stairs and give a level area for standing.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. The area of a planar figure is the space contained by its border. The number of unit squares that cover the surface of a closed form is the figure's area. The area is the region defined by an object's form.
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Please Help Me With This Question File Is Attached
a box contains six red light bulbs, nine blue light bulbs, and five green light bulbs. what is the probability of randomly selecting a red light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a red light bulb or a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a green light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue or a green light bulb? (round to 2 decimal places)
Using it's definition, the probabilities are given as follows:
Red: 0.3 = 30%.Blue: 0.45 = 45%.Red or Blue: 0.75 = 75%.Green: 0.25 = 25%.Blue or Green: 0.6 = 60%.What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
The total number of bulbs in this problem is given as follows:
6 + 9 + 5 = 20.
Six of them are red, hence the probability of a red bulb is:
p = 6/20 = 0.3 = 30%.
Nine of them are blue, hence the probability of a blue bulb is:
p = 9/20 = 0.45 = 45%.
Five of them are green, hence the probability of a green bulb is:
p = 5/20 = 0.25 = 25%.
The probability of a red or blue bulb is:
p = 0.3 + 0.45 = 0.75.
The probability of a blue or green bulb is:
p = 0.45 + 0.25 = 0.6.
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The length of one strip of paper is 1 whole unit.Fold two strips of paper in half.Open the strips and place them ent end .How many halves do you have?How can you use halves to name the fold lines?
Answer:
The total number of halves is 4 and the lines are considered as 1/4, 1/2 and 3/4.
Step-by-step explanation:
When both the strips are placed end to end the total number of halves is 4, 2 for each of the paper strips. Lines are as indicated in the figure attached.
Please help fast thank you!
Answer:
-3.78= (-1.2y)+(-4.2y)
y= 0.7
Step-by-step explanation:
-3.78= (-1.2y)+(-4.2y)
-3.78= -5.4y
/-5.4 /-5.4
y=0.7