Answers
Answer:
9 . 5/3
10. - 5/11
................................
Related Questions
The universal set is the set of
integers from 1 to 10. Then sets P, Q
and R are defined as : P = {p:p is a
even number} , Q = {q:q is a
Multiple of 3) and R = {r:ris a odd
number}. Write the sets P, Q and Rin
listing form and find PUQUR and P
nQn R.
Answers
Answer:
See below in bold.
Step-by-step explanation:
P = {2, 4, 6, 8, 10}
Q = {3, 6, 9}
R = {1, 3, 5, 7, 9}
PUQUR is the union of the 3 sets and is:
{1, 2, 3,4, 5, 6, 7, 8, 9, 10}
P∩Q∩R is the intersection of the 3 sets and is:
∅.
- that is the empty set . There are no common elements in the 3 sets.
The point (2,b) lies on the circle with radius 5 and center (-1,-1). What are the possible values of b?
Answers
The point (2,3) and (2,-5) both lie on the circle with center (-1,-1) and radius 5.
Define circleIn geometry, a circle is a closed shape consisting of all points in a plane that are a fixed distance (called the radius) from a given point (called the center). The circle is one of the most basic geometric shapes, and it has many important properties.
In this case, we have a circle with center (-1,-1) and radius 5, so its equation is:
(x + 1)² + (y + 1)² = 5²
We also know that the point (2,b) lies on this circle, so we can substitute x = 2 and y = b into the equation to get:
(2 + 1)² + (b + 1)² = 5²
9 + (b + 1)² = 25
Subtracting 9 from both sides, we get:
(b + 1)² = 16
b + 1 = ±4
Solving for b in each case, we get:
b = -1 ± 4
Therefore, the possible values of b are:
b = 3 or b = -5
So the point (2,3) and the point (2,-5) both lie on the circle with center (-1,-1) and radius 5.
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what percent is 25 of 100
Answers
Answer:
25 percent.
Step-by-step explanation:
25 divided by 100 is equal to 0.25. You then multiply that by 100 to get percent, which is 25 percent.
Hope it helps.
It’s very simple
carol rolled a dice 150 times she rolled a six 39 time
Answers
Answer:
nice
Step-by-step explanation:
whats the rest of the problem or is it just that she rolled a dice
Determine the intervals in which the function is decreasing
Answers
The intervals in which the function is decreasing. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\). Option 3
How do you find the interval in which the function is decreasing?We're given a function f(x) = 2 sin x - x, which describes a curve on a graph. We want to find the intervals where this curve is decreasing (going down) within the range of -π to π.
To find when the function is decreasing, we look at its slope. The slope tells us if the curve is going up or down. We find the slope by taking the first derivative of the function: f'(x) = 2 cos x - 1.
We now have an equation for the slope, f'(x) = 2 cos x - 1. A negative slope means the function is decreasing. So, we want to find where f'(x) is less than 0 (negative).
We set up the inequality: 2 cos x - 1 < 0. We solve it to find the x-values where the slope is negative. The solution is cos x < 1/2.
From the inequality cos x < 1/2, we find the intervals within the range of -π to π where the function is decreasing. These intervals are [-π, -π/3] and [π/3, π].
The above answer is in response to the question below as seen in the picture.
Determine the interval(s) in \([-\pi, \pi ]\) on
which f(x) = 2 sin x - x
is decreasing.
1. \([-\frac{\pi }{3}, \frac{\pi }{3} ]\)
2. \([-\frac{\pi }{6}, \frac{\pi }{6} ]\)
3. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\)
4. \([-\pi , -\frac{-2\pi }{3} ], [\frac{2\pi }{3}, \pi ]\)
5. \([-\pi , - \frac{5x}{6} ], [\frac{\pi }{6}, \pi ]\)
6. \([-\frac{\pi }{6}, \frac{5\pi }{6} ]\)
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T=PV/k, determined P when T=80, V=20 and K= 0.5
Answers
We have the following equation:
\(T=\frac{PV}{k}\)since we need P, we must move k and V to the left hand side as
\(P=\frac{k\cdot T}{V}\)By substituting the given values, we get
\(\begin{gathered} P=\frac{(0.5)(80)}{20} \\ P=\frac{40}{20} \\ P=2 \end{gathered}\)that is, P is equal to 2.
5a. find the value of a.
Answers
The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;
5 a. The value of a is 3.5
b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel
What is a logarithmic function?A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential function
The function is f(x) = a·log₃(x - 4),
x > 4 and a > 0
The coordinates of a point on the graph of the function, f is A(13, 7)
5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows
f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²
7 = a·log₃3²
7 = 2·a·log₃3 = 2·a·1 = 2·a
2·a = 7
a = 7 ÷ 2 = 3.5
a = 3.5
5 b. The coordinates of the x-intercept of the graph = (5, 0)
The equation of the function is;
f(x) = 3.5·log₃(x - 4)
A third point on the graph is given when f(x) = 14 as follows;
f(x) = 14 = 3.5·log₃(x - 4)
log₃(x - 4) = 14 ÷ 3.5 = 4
3⁴ = x - 4
x = 3⁴ + 4 = 85
Which gives the point, (85, 14)
Similarly, we have the point (31, 10.5), (7, 3.5)
Please find attached the graph of f(x) created with MS Excel
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ompute the amount to be paid for each of the four separate invoices assuming that all invoices are paid within the discount period. Terms Payment $ Merchandise (gross) a. $ 8,000 24,500 C. 81,000 17,500 I 2/10, n/60 1/15, EOM 1/10, n/30 3/15, n/45 7,840 20,825 72,900 14,875
Answers
Where the above Terms exists, the amount to be paid in each of the above invoices are given as follows;
Invoice 1: $7,840Invoice 2: $24,255Invoice 3: $80,190Invoice 4: $16,975.How would one define the the Terms above?Note that the terms are defined as follows;
Terms A: 2/10, n/60 (2% discount if paid within 10 days, net due in 60 days)
Terms B: 1/15, EOM (1% discount if paid within 15 days, end of month terms)
Terms C: 1/10, n/30 (1% discount if paid within 10 days, net due in 30 days)
Terms D: 3/15, n/45 (3% discount if paid within 15 days, net due in 45 days.
So to compute the amount to be paid for each of the four separate invoices assuming that all invoices are paid within the discount period, we need to calculate the amount of the discount and subtract it from the gross merchandise amount.
For terms 2/10, n/60:
Discount = 2% of $8,000 = $160
Amount to be paid = $8,000 - $160
= $7,840
For terms 1/15, EOM:
Discount = 1% of $24,500 = $245
Amount to be paid = $24,500 - $245
= $24,255
For terms 1/10, n/30:
Discount = 1% of $81,000 = $810
Amount to be paid = $81,000 - $810
= $80,190
For terms 3/15, n/45:
Discount = 3% of $17,500 = $525
Amount to be paid = $17,500 - $525
= $16,975
Therefore, the amount to be paid for each of the four separate invoices assuming that all invoices are paid within the discount period are:
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The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis.
Which of the following is the best interpretation of the standard deviation of the residuals?
A. The typical arm span is 161 centimeters.
B. The typical foot length is 16.1 centimeters.
C. The typical distance between the observed and predicted arm spans is 1.61 centimeters.
D. The typical distance between the observed and predicted foot lengths is 1.61 centimeters.
Answers
Therefore , the solution of the given problem of standard deviation comes out to be the typical distance between the observed and predicted foot lengths is 1.61 centimeters.
Definition of standard deviationVariance is a measure of difference used in statistics. The average variance between the data and indeed the mean is calculated using the mathematical formula of that figure. By comparing each data point's value to the mean, it incorporates all data points into its computations, unlike some other number measures of variability.
Here,
D. The typical distance between the observed and predicted foot lengths is 1.61 centimeters.
The standard deviation of the residuals measures the typical distance between the observed values and the predicted values (based on the regression line).
In this case, the regression analysis is for foot length and arm span, and the standard deviation of the residuals tells us about the typical distance between the observed foot lengths and the predicted foot lengths based on the regression line.
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if two vertical angles are 2x-10 and x+20 find the value of x
Answers
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
Answers
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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Why is it important to have high
quality audio files
Answers
Answer:
TO HEAR BETTER
Because as quality increases the tone increases
An empty fuel tank is filled using a cylindrical pipe with diameter 8 cm. Fuel flows along this pipe at a rate of 2 metres per second. It takes 24 minutes to fill the tank. Calculate the capacity of the tank. Give your answer in litres.
Answers
The capacity of the tank is 7234.56litres
What is capacity of a tank?Capacity refers to the amount of fluid a container can hold. It expressed in units like litres (l), millilitres (ml). Capacity is also known as volume of a substance.
The capacity of the cylindrical pipe is
V = πr²h
r = 8cm
if it takes the pipe 2m per second
then it's volume in one second is
V = 3.14 ×8 × 2× 100
V = 5024cm³/s
if it takes 24 minutes
24 minutes = 24 × 60 s
= 1440s
therefore volume of the tank = 1440 × 5024
= 7234560cm³
in litres = 7234560/1000
= 7234.56litres
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need help , ill give you a 5 star rate!
Answers
Given:
Shapes moving around a line l.
To find:
Which shape will occur when figure rotating around line l.
Explanation:
We can draw figure or imagine the figure.
Solution:
So, figure will be like Cylinder.
Hence, this is the required figure.
19-x²
if x = -5
How would you solve this math problem?
Answers
The solution to the math problem is -6.
A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.
The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.
= 19 - ( - 5 ) ²
= 19 - ( 25 )
= 19 - 25
= - 6
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find (6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)
Answers
Answer:
7m^5 - 3m^3 - 3
Step-by-step explanation:
The first set of parentheses is unnecessary, so just remove them.
To remove the second set pf parentheses, since there is a negative sign to its left, change every sign inside the second set of parentheses. Then combine like terms.
(6m^5 + 3 - m^3 - 4m) - (-m^5 + 2m^3 - 4m + 6) =
= 6m^5 + 3 - m^3 - 4m + m^5 - 2m^3 + 4m - 6
= 7m^5 - 3m^3 - 3
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
Answers
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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Two homebuilders are working to get the windows installed on their homes. Tom uses the formula 42 = 7x + 2 to model the number of windows he is installing on his home and Suzanne uses the formula 37 = 6x + 5 to model the number of windows she is installing on her home. In each formula, x represents the number of days that Tom and Suzanne work on installing windows.
Answers
Tom is installing 6 windows each day and Suzanne is installing 6 windows each day as well.
To find the number of days it takes for each homebuilder to install the windows, we need to solve for x in each equation.
Tom's equation: 42 = 7x + 2
Subtracting 2 from both sides:
40 = 7x
Dividing both sides by 7:
x = 5.71 ≈ 6
So it will take Tom approximately 6 days to install the windows on his home.
Suzanne's equation: 37 = 6x + 5
Subtracting 5 from both sides:
32 = 6x
Dividing both sides by 6:
x = 5.33 ≈ 6.
So it will take Suzanne approximately 6 days to install the windows on her home.
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PLEASE HELP ME WITH THIS PLEASE
Answers
Answer:
y = -x - 2
this is because the m is the slope and the b is the intersection of the y axis
Answer:
y=-1x-2
Step-by-step explanation:
First find the slope by using the formula (y2-y1)/(x2-x1). Choose the 2 intercepts to calculate the slope. replace the y's and x's with your points so it would look like this or this: (-2-0)/(0-(-2)) or 0-(-2))/(-2-0). They both give the same slope which is -1. Then, since the graph tells us the y-intercept(when the x is equal to 0), we replace it with b to get y=-1x-2.
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answers
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
PLEASE HELP I WILL GIVE BRAINLIEST!!
14. Katherine and Christine work at the same restaurant. Each week, Katherine works 5 more
hours than Christine Katherine earns $7.00 per hour and Christine earns $8.00 per hour.
a) Write a simplified expression to represent the total number of hours Katherine and
Christine work in one week.
b) Write a simplified expression to represent the total amount they earn in one week.
c) Suppose Christine and Katherine worked 9 hours last week. What was the total amount
the girls earned last week?
Answers
Answer:.
Step-by-step explanation:
Please help me on this
Answers
Answer:
C
Step-by-step explanation:
what is the solution for 15= 1/2 + 3/2x + 10
Answers
Answer:
x = 3
Step-by-step explanation:
I need help with finding the output y when x is -4 it's on a graph
Answers
As observed from the graph, the curve is a straight line from point (-2,-1) to (-5,2).
Consider that the equation of a straight line passing through two points is given by,
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}\times(x-x_1)\)So the equation of the line passing through (-2,-1) and (-5,2) is given by,
\(\begin{gathered} y-(-1)=\frac{2-(-1)}{-5-(-2)}\times(x-(-2)) \\ y+1=\frac{3}{-3}\times(x+2) \\ y+1=-x-2 \\ y=-x-3 \end{gathered}\)Note that this function is only for the interval [-2, -5].
Now, the value of 'y' corresponding to the input x=-4 is calculated as,
\(\begin{gathered} y=-(-4)-3 \\ y=4-3 \\ y=1 \end{gathered}\)Thus, the required output is y = 1 .
63 divided by 5 = 12 R 3 as a fraction
Answers
Answer:
12 3/5 or 63/5 is the answers for the question
Step-by-step explanation:
please give me brainlest
For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?
Answers
Answer:
(8,-43)
(4,-22)
Step-by-step explanation:
In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.
For example:
(4,-22)
x=4 ; y=-22
Plug y into the inequality
y≤0
-22≤0
Since the statement is true, I know that (4,-22) must be a solution to the inequality.
Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Answer:
Step-by-step explanation:
To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.
Let's check each ordered pair:
(8, -43):
The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(4, -22):
The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(-3, 25):
The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
(-7, 45):
The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
So, the solutions to the inequality y ≤ 0 are:
(8, -43) and (4, -22).
Solve the equation: -68 = 5y - 3
Answers
Answer:
-13
Step-by-step explanation:
-68 = 5y-3 First you move the -3 by adding 3 to both sides to get -65 =5y
Then you divide 5 by both sides to get y=-13
Answer:
y = -13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-68 = 5y - 3
Step 2: Solve for y
Add 3 to both sides: -65 = 5yDivide both sides by 5: -13 = yRewrite: y = -13Step 3: Check
Plug in y to verify it's a solution.
Substitute: -68 = 5(-13) - 3Multiply: -68 = -65 - 3Subtract: -68 = -68And we have our final answer!
plzzz help: The sequence graphed below can be generated using which formula?
Answers
Answer:
The answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Edge2021
When Betsy Ross sewed the first American flag, the flag had an area of 27 square feet. If the base of the flag was 9 feet, what was the height of the flag?
Answers
Answer:
The height of the flag was 3 feet.
Step-by-step explanation:
To solve this problem, we must first recall the formula for area of a rectangle to be:
Area = base * height
Next, we can substitute in the values that we were given in the problem. We were told that the area was 27 square feet and the base was 9 feet.
27 = 9 * height
Now we can treat this equation that we have created similar to any other equation we would like to solve. We must solve for the unknown, or the variable, which in this case is the height. To do this, we should divide both sides by 9 to get the "height" variable by itself on the right side of the equation. This is modeled below:
27/9 = (9 * height)/9
3 = height
Therefore, the height of the flag was 3 feet.
Hope this helps!
Answer:
The height is 3,
Step-by-step explanation:
First up, if we know the B in the B*H=A formula, we can divide the area by the base (27/9) and get the height, 3.
I too am learning this. The thing is you want to do a reverse order. For example, 2*3=6; so automatically we would know that 6/3=2.
Hope this has helped!
:)
Driving speed s-4/s2-9s+20 miles per hour. Distance covers in s-5/4 hours
Answers
The value of distance cover is, 1/4 miles.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Driving speed = (s - 4) / (s²-9s+20)
And, Time = (s - 5) / 4
Now, We know that;
⇒ Speed = Distance / Time
⇒ Distance = Speed × Time
Substitute the given values, we get;
⇒ Distance = (s - 4) / (s² - 9s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s² - 5s - 4s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s (s - 5) - 4 (s - 5)) × (s - 5) / 4
⇒ Distance = (s - 4) / (s - 4) (s - 5) × (s - 5) / 4
⇒ Distance = 1/4 miles
Thus, The value of distance cover is, 1/4 miles.
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