Answer:
264 in²
Step-by-step explanation:
The shaded area is the area of the rectangle subtract the area of the square.
shaded area = (20 × 15) - (6 × 6) = 300 - 36 = 264 in²
Consider the following curve.y =√6 − 75xFind the slope m of the tangent line at the point (−1, 9).m = ______Find an equation of the tangent line to the curve at the point (−1, 9).y = ______.
the equation of the tangent line is: y = -25x - 16TTo find the slope (m) of the tangent line to the curve y = √(6 - 75x) at the point (-1, 9), we first need to find the derivative of the curve with respect to x.
Let's differentiate y with respect to x using the chain rule:
dy/dx = d(√(6 - 75x))/dx = (1/2)(6 - 75x)^(-1/2) * (-75)
Now, we can find the slope of the tangent line at the point (-1, 9) by evaluating the derivative at x = -1:
m = (1/2)(6 - 75(-1))^(-1/2) * (-75) = (1/2)(81)^(-1/2) * (-75)
m = -25
Now we have the slope of the tangent line, m = -25. To find the equation of the tangent line, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). We have the point (-1, 9) and the slope -25, so:
y - 9 = -25(x - (-1))
Simplify the equation:
y - 9 = -25(x + 1)
y = -25x - 25 + 9
Therefore, the equation of the tangent line is:
y = -25x - 16
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tom bought five candy bars and paid a total of $6.75 including tax. if each candy bar cost $1.25,how much tax did tom pay?
Answer: He paid 0.50 cents in tax.
Step-by-step explanation:
HELP The dot plots show the number of library books checked out by two groups of students. Which statement is true?
Question 2 options:
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
The distribution for Group A is skewed to the right, and the distribution for Group B is skewed to the left.
The distribution for Group A is skewed to the left, and the distribution for Group B is skewed to the right.
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the left.
Answer: hello the dot plots related to your question is missing attached below is the missing Dot plots
answer: The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
Step-by-step explanation:
The true statement is
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
This is because the data value of 10 in Group B makes it to be skewed to the right
This meal costs $19.00 .A sales tax is applied, followed by an automatic tip of 18 %.What is the total with tax and tip?
The total cost of he meat with tax and tip is $ 22.42
How to find the totalTo calculate the total cost with tax and tip, we need to follow these steps:
multiply the meal cost by the tip rate. when the tip rate is 18%, we have:
Tip amount = $19.00 * 0.18 = $3.42
Add the meal cost, sales tax, and tip amount to get the total cost:
Total cost = Meal cost + Sales tax + Tip amount
= $19.00 + $3.42
= $ 22.42
Therefore, the total cost with tax and tip is $22.42
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y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?
The linear equation y = -6x + 2; -12x - 2y = -4 has no solution
Linear equationy = -6x + 2
-12x - 2y = -4
Substitute y = -6x + 2 into (2)-12x - 2y = -4
-12x - 2(-6x + 2) = -4
-12x + 12x -4 = -4
-12x + 12x = - 4 + 4
0 = 0
Solve for xy = -6x + 2
y - 2 = -6x
x = (y - 2) / -6
Substitute into (2)-12x - 2y = -4
-12(y- 2)/ 6 - 2y = -4
(-12y + 24) / 6 - 2y = -4
-2y + 4 - 2y = 4
0 = 0
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Only the smartest person can help me with Algebra 2! Answer how many you can!
Part 3
Using the concepts of domain and range of functions, we have that:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, for these problems:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.
In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.
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Who has the best conclusion?A.Joe said the average grade was a 75.B.Collin said almost 15% made between a 91 and a 100.C.Paulina said most of the class made between a 71 and a 80.D.Quannah said that most of the students understood the concepts that were not tested.
Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.
What is the average?
This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:
A. Joe said the average grade was a 75.
Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.
B. Collin said almost 15% made between a 91 and a 100.
Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.
C. Paulina said most of the class made between a 71 and an 80.
Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.
D. Quannah said that most of the students understood the concepts that were not tested.
The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.
hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.
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A right rectangular prism is 3 in by 4.25 in by 18.25 in. What is the total surface area of the prism?
145.0625 in2
180.625 in2
264.625 in2
290.125 in2
Identical at both ends, a prism is a three-dimensional solid object 145.0625 in2.
What is meant by surface?the outer face, outside, or exterior limit of a thing; topmost or uppermost layer or area. the six surfaces of a cube; any face of a body or entity.
Surface area; the size or area of the outside of the face. the outside, especially in contrast to the inside nature: to investigate something more deeply. surface, a group of points arranged in two dimensions (flat surface), a group of points arranged in three dimensions (curved surface), or the perimeter of any three-dimensional object.
In general, a surface is a continuous barrier that separates two areas of a three-dimensional space.
There are small cracks all over the surface of the picture. There are tiny cracks all over the surface of the picture. The surface of the bowl is gleaming.
145.0625 in2
180.625 in2
264.625 in2
290.125 in2
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Which of the following shows the correct first step to solve x^2-18x=-45
A x^2 - 18x + 18= -45 + 18
B. x^2 - 18x + 9 = -45 + 18
C. x^2 -18x + 81 = -45
D. X^2 -18 + 81 = -45 + 81
Answer:
D, X^2 -18 + 81 = -45 + 81
Step-by-step explanation:
it is complating squer method that used for solving x in a quadratic equetion . in this step you will add
(y/2)^2 if y is the cofitient of x .
Taye wants to find 352+116. Show how he can use place value to find the sum
Answer:
Step-by-step explanation:
well if you 6+2 is 8 that is the one's place then 50+10 is 60 that is the tens place then 300+100 is 400 that is the hundreds place and add 400+60+8 is 468
You Welcome
simplify.
x⁴y²/x²y*6
Answer:
x^2y^-4
Step-by-step explanation:
Answer:
i think the answer is x²y/6
HELPPP PLZ WHATS THE ANSWER PLZ DONT SEND A FILE PLZ. what is this question going across is going across the y or it going across the x ??? ONLY ANSWER IF YOU REALLY KNOW THE ANSWER. I NEED THE ANSWER FOR 5,and 6
number 3 going across the x axis
number 5 going across the y axis
Please help! (look at the image below!!)
The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.
What is ordering of numbersThe ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.
12⅝ = 101/8 = 12.645
12.62 = 12.62
√146 = 12.0830
12.39 = 12.39
12¾ = 51/4 = 12.75
Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.
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suppose it is certain that an earthquake will occur someday. what is the probability (to the nearest percent) that it will occur while you are at work? assume you are at work 8 hours per day, 250 days per year.
To the nearest percent, the probability that an earthquake will occur while you are at work is approximately 23%.
The probability that an earthquake will occur while you are at work can be calculated by dividing the number of hours you are at work by the total number of hours in a year.
Step 1: Calculate the total number of hours in a year:
There are 24 hours in a day, so multiplying 24 by 365 (the number of days in a year) gives us 8,760 hours in a year.
Step 2: Calculate the number of hours you are at work in a year:
Since you work 8 hours per day, multiply 8 by 250 (the number of days you work in a year) to get 2,000 hours.
Step 3: Calculate the probability:
Divide the number of hours you are at work (2,000) by the total number of hours in a year (8,760) and multiply by 100 to convert to a percentage.
Probability = (2,000 / 8,760) * 100 = 22.83%
Therefore, to the nearest percent, the probability that an earthquake will occur while you are at work is approximately 23%.
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Which function has real zeros at x = -10 and x = -67
Answer:
x^2 + 77x + 670 = 0
Step-by-step explanation:
x^2 + bx + c = 0
100 - 10b + c = 0
4489 - 67b + c = 0
4389 - 57b = 0
b = 77
100 - 770 + c = 0
c = 670
Find the Laplace Transform. a. L [2t43t² + 5]
The Laplace transform of the function f(t) =2t⁴ + 3t² + 5 is given by:
L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.
Here, we have,
To find the Laplace transform of the function f(t) = 2t⁴ + 3t² + 5,
we can apply the linearity property of the Laplace transform.
The Laplace transform of a constant is given by:
L[a] = a/s,
where 'a' is a constant and 's' is the complex variable.
Applying this property to each term in the function, we have:
L[2t⁴] = 2/s⁵,
L[3t²] = 3/s³,
L[5] = 5/s⁰.
Since s⁰ = 1, the Laplace transform of the constant term 5 is simply 5.
Combining these results using the linearity property, we get:
L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.
Therefore, the Laplace transform of the function f(t) =2t⁴ + 3t² + 5 is given by:
L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.
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Evaluate the following expression.
Let y = 4
and z = 2
8y + 12 - 2z
20
Pls help doing a test
Answer:
40
Step-by-step explanation:
y = 4
z = 2
8y + 12 - 2z
8(4) + 12 - 2(2)
32 + 12 - 4
44 - 4
40
Answer:
40
Step-by-step explanation:
the difference of two numbers is 4. the sum of the lesser number and half the greater number is 23. what is the product of the two numbers?
Answer: x = 18 and y = 14
The difference is 4, and half of 18 is 9 and 9 + 14 is 23
Step-by-step explanation:
Keep the 2 numbers as 2 variables
x - y = 4
x + (y/2) = 23
We can use the substitution method here
x = 4 + y
4+y + (y/2) = 23
y = 14
x = 4 + y
x = 4 + 14
x = 18
if the cost of 30 oranges is rupees 180 find the cost of two dozen oranges...
Answer:
Cost of 15 oranges=Rs. 40
Cost of 1 orange=Rs.
15
40
Cost of 3 dozen oranges=
15
40
×3×12(1 dozen=12)
∴ Cost of 3 dozen oranges=Rs. 96.
Step-by-step explanation:
Hope it helps and have a great day
Carlisle Transport had $4,520 cash at the beginning of the period. During the period, the firm collected $1,654 in receivables, paid $1,961 to supplier, had credit sales of $6,916, and incurred cash expenses of $500. What was the cash balance at the end of the period?
To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.
Starting cash balance: $4,520
Cash inflows: $1,654 (receivables collected)
Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)
Total cash inflows: $1,654
Total cash outflows: $1,961 + $500 = $2,461
To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:
Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows
Cash balance at the end of the period = $4,520 + $1,654 - $2,461
Cash balance at the end of the period = $4,520 - $807
Cash balance at the end of the period = $3,713
Therefore, the cash balance at the end of the period is $3,713.
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please help! no links please!
The value of x is: 75°
360° - 128° - 85° - 72° = 75°
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6. Is the
relationship between x and y proportional?
Yes, because 3 is proportional to 6.
Yes, because 3 is proportional to 3 + 6.
It cannot be determined. At least one other point on the line is needed
to determine if x is proportional to y.
A
B
C
D It cannot be determined. At least two other points on the line are needed
to determine if x is proportional to y.
It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y
Given data ,
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6
Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.
As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required
Hence , the equation of line is solved
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Which expression is equivalent to
X^-5/3
Answer:
\(\frac{1}{x^{\frac{5}{3}}}\)
Step-by-step explanation:
\(\frac{-5}{3}=-\frac{5}{3}\\x^{-\frac{5}{3}}\\x^{-\frac{5}{3}}=\frac{1}{x^{\frac{5}{3}}}\\\frac{1}{x^{\frac{5}{3}}}\)
➲ Hope this helps.
Consider the expression 3n4 − 5n3 + 9. What is the coefficient of n3?
Answer:
The coefficient of n sub 3 will be the -5.
Please help me on this homework assignment, I'm not sure I got this right.
Answer:
1,875$ in intrest
Step-by-step explanation:
10000x.0375x5=1875
Assume x and y are functions of t. Evaluate dy/dt for the following. y^3=2x^4+6; dx/dt=5, x=1, y=2
dy/dt = 10/3 when x = 1, y = 2, and dx/dt = 5. We can calculate it in tis manner:
Given that x and y are functions of t. The values of dx/dt, x = 1 and y = 2 are given. Also, y³ = 2x⁴ + 6
We have to find dy/dt.
Let's find the value of x at t = 1, using dx/dt=5∴ (d/dt)x = 5⇒ (d/dt)x = (d/dt)(1) = 5
Integrating both sides w.r.t t, we get,⇒ ∫(d/dt)x dt = ∫5 dt⇒ x = 5t + C1
Where C1 is the constant of integration. Given that x = 1 at t = 0. So, substituting these values in the above equation, we get,1 = 5(0) + C1⇒ C1 = 1So, x = 5t + 1
Also, we are given that y³ = 2x⁴ + 6By differentiating w.r.t t on both sides, we get,⇒ (d/dt)y³ = (d/dt)(2x⁴ + 6)⇒ 3y² (d/dt)y = 8x³ (d/dt)x⇒ (d/dt)y = 8x³ (d/dt)x / 3y²Now, we know that (d/dt)x = 5 and x = 1, y = 2.
So, substituting these values in the above equation, we get,(d/dt)y = 8(1³)(5) / 3(2²)⇒ (d/dt)y = 20/12⇒ (d/dt)y = 5/3
Therefore, dy/dt = 5/3
To find dy/dt, first differentiate the given equation y^3 = 2x^4 + 6 with respect to t using the chain rule.
Differentiating both sides with respect to t, we get:
3y^2(dy/dt) = 8x^3(dx/dt)
Now, substitute the given values x = 1, y = 2, and dx/dt = 5 into the equation:
3(2)²(dy/dt) = 8(1)^3(5)
12(dy/dt) = 40
Solve for dy/dt:
dy/dt = 40/12
Simplify the fraction:
dy/dt = 10/3
Therefore, dy/dt = 10/3 when x = 1, y = 2, and dx/dt = 5.
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CAN SOME ALGEBRA 2 PERSON PLEASE HELP ITS DUE IN A FEW HOURS!!!!!
PLEASE SHOW UR WORK, IT IS QUESTIONS 12-29! ;w;
12. 5x² - 180 = 0
5x² = 0 + 180
5x² = 180
x² = 180/5
x² = 36
x = √36
x = 6
13. 3x² - 100 = 332
3x² = 332 + 100
3x² = 432
x² = 432/3
x² = 144
x = √144
x = 12
14. ⅔x² - 8 = 16
⅔x² = 16 + 8
⅔x² = 24
2x² = 24 × 3
2x² = 72
x² = 72/2
x² = 36
x = √36
x = 6
15. ½x² - 5 = 5
½x² = 5 + 5
½x² = 10
x² = 10 × 2
x² = 20
x = √20
16. x² + 1 = 3x² - 13
1 + 13 = 3x² - x²
14 = 2x²
14/2 = x²
7 = x²
√7 = x
17. 2(x² + 4) = 10
2x² + 8 = 10
2x² = 10 - 8
2x² = 2
x² = 2/2
x² = 1
x = √1
x = 1
18. 3(x² - 1) = 9
3x² - 3 = 9
3x² = 9 + 3
3x² = 12
x² = 12/3
x² = 4
x = √4
x = 2
19. 2(x + 3)² = 8
2(x² + 3² + 2×x×3) = 8
2(x² + 9 + 6x) = 8
2x² + 18 + 12x = 8
2x² + 12x = 8 - 18
2x² + 12x = -10
2(x² + 6x) = -10
x² + 6x = -10/2
x(x + 6) = -5
x + 6 = -5/x
6 = -5/x - x
6 = -5/x - x²/x
6 = (-5 -x²)/x
6x = -5 - x²
James is a manager for a fast food hamburger stand. He makes a straight salary of $28,000 in 2004 but will receive a $1,000 raise every year. Which of the following statements are true? Select all that apply. Group of answer choices $28,000 + $1,000y describes his salary $28,000y + $1,000 describes his salary After 3 years James can earn more money if he changes to a job that pays him $29,000 plus a $500 raise each year.
Answer:
$28,000+$1,000y and After 3 years James can earn more money if he changes to a job that pays him $29,000 plus a $500 raise each year
Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11
Answer:
Becky's age is equal to 20.
Step-by-step explanation:
The given expression is :
(7+11)-(8÷2)
Using Bodmas rule to solve it furthur,
(18)-4 = 14
According to the given condition, let the age is A.
The value is 6 less than her age,
14 = A-6
or
14+6 = A
A = 20
Hence, Becky's age is equal to 20.
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x + 15y = 45
Answer:
y equals -x/5 + 3
Answer:deformed penis
Step-by-step explanation:
1.2+&7(6–&67-7-7+7=6+7-66+7=7+7-7-