Answer:
6. >
7. <
8. <
9. <
10. <
all the positive integers are valued greater than the negative integers and 0 is not a integer so the positive one will be greater in all the cases
tn=2(n-1)
Given the formula for the nth term, state the first 5 terms of each sequence.
Answer:
0, 2, 4, 6, 8
Step-by-step explanation:
substitute 1 for n in first term, 2 for n in second term, 3 for n in third term, 4 for n in fourth term, 5 for n in fifth term
2 (1) -2 = 0 first term
2 (2)-2 = 2 second
2 (3)-2 = 4 third
2 (4)-2 =6 fourth
2 (5)-2 =8 fifth
Estimate the difference of the decimals below by rounding to the nearest whole number.
23.827
- 1 .218
Answer:
23
Step-by-step explanation:
The difference between the 23.827 - 1.218
23.827 - 1.218 = 22.609
By rounding to the nearest whole number it is 23.
(HELP PLS WILL MARK BRAINLIEST) For her birthday, Allie received $75. She wants to buy some CDs
that cost $14.95 each. Estimate the maximum number of CDs that
Allie can buy with her birthday money by rounding the cost of a CD
up to the nearest whole dollar.
A) 3
B) 5
C) 7
D) 9
Answer:
5
Step-by-step explanation:
She received $75
1 CD cost $14.95
Therefore the number of CDs that can be bought are $75/$14.95 is
5.016
Answer: B
Step-by-step explanation:
Times $74.95 by each number, and the one closet will be your answer:
$14.95 x 5 = $74.95 rounded to the nearest whole dollar is $75
For Field Day, the 72 students in fourth grade will be divided into tears with the same number of students on each team. The 60 students in third grade will be divided into teams that each have the same number of students as the fourth grade teams. What is the largest number of students that a team could have? Help meeee
What is the area of the entire polygon below?
Answer: The area of the shaded region is 9 units. Hope this helps!
Using the alternate form of the definition of the derivative, Compute f'(c) for f(x) = x+4/x, c=4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
What is the value of the derivative of a function?
In this problem we have the following rational equation, which is equivalent to the following sum of functions:
f(x) = (x + 4) / x = 1 + 4 / x = g(x) + h(x)
Then, we must find both the derivatives of the functions g(x) and h(x) by using the definition of derivative:
g(x):
g'(x) = [1 - 1] / h
g'(x) = 0 / h
g'(x) = 0
h(x):
h'(x) = [4 / (x + h) - 4 / x] / h
h'(x) = [4 · x - 4 · (x + h)] / [h · (x + h) · x]
h'(x) = - 4 · h / [h · (x + h) · x]
h'(x) = - 4 /[(x + h) · x]
If h = 0, then:
h'(x) = - 4 / x²
Then, the first derivative of the function is f(x) = - 4 / x². Now we evaluate the function at x = 4:
f(4) = - 4 / 4²
f(4) = - 1 / 4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
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Please help ASAP I am in desperate need
Answer:
x = 9
TH = 12
Step-by-step explanation:
since TM is half of HM, the equation is:
2(21 - x) = 3x - 3
42 - 2x = 3x - 3
45 = 5x
x = 9
TH = 21 - x
TH = 21 - 9
TH = 12
what is the variable "d" equal to in the equation 2d + 13
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
A new car is purchased for 25000 dollars.The value of the car depreciates at 8.25% per year.What will the value of the car be,to the nearest cent,after 15 years?
Answer:
da,
Step-by-step explanation:
what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
Use I = PRT to find the total amount in the savings account. Type in "money fo $1555.00 at 8% for 2 years
IF YOU ANWSER IM GIVING YOU 50 POINTS!
Step-by-step explanation:
use an interest calculator it is going to be much easier
I believe its $6986.25
https://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx
4. What is the profit the restaurant makes from selling 100 burritos? Does the restaurant make money o lose money? Explain.
if the restauran sells 100 burritos, it obtains $550 dollars.
Then, when the restauran sells 100 burritos it makes money, because the earnings are greater than zero dollars.
Determine the validity of each the following arguments. If the argument is one of those listed in the text, name it.
a. She uses e-commerce or she pays by credit card.
b. She does not pay by credit card.
c. She uses e-commerce
Answer:
Step-by-step explanation:
We will design a truth table to determine the validity of the provided arguments.
As a result, we have the following presumption:
Assume "p" stands for "she shops online(e-commerce)" and "q" stands for "she pays with a credit card."Also, she utilizes e-commerce or pays with a credit card, resulting in "p Vs q".She doesn't pay with a credit card, therefore -commerce becomes "™q → p".Now;
p q ™q p Vs q ™q →p
T T F T T
T F T T T
F T F T T
F F T F F
Conclusion:
The given arguments are valid.
Ten and one third minus seven and two thirds
10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.
What is the fractiοn?In Maths, a fractiοn is used tο represent the pοrtiοn/part οf the whοle thing. It represents the equal parts οf the whοle. A fractiοn has twο parts, namely the numeratοr, and denοminatοr. The number οn the tοp is called the numeratοr, and the number οn the bοttοm is called the denοminatοr.
Tο subtract 7 and 2/3 frοm 10 and 1/3, we can write bοth as imprοper fractiοns with a cοmmοn denοminatοr and then subtract:
10 and 1/3 - 7 and 2/3 = (31/3) - (23/3)
Tο subtract these fractiοns, we need a cοmmοn denοminatοr, which is 3. We can rewrite the fractiοns with the cοmmοn denοminatοr οf 3:
(31/3) - (23/3) = (31 - 23)/3 = 8/3
Therefοre, 10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.
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Complete question:
Convert the given sentence in to an algebraic expression and solve. Ten and one third minus seven and two thirds
how do you Evaluate. 58−(14)2= ________
Answer:
58-(14)2
58-28
30
Step-by-step explanation:
Is A ratio the same as a fraction
Find the volume of this cylinder.
Round to the nearest tenth.
r = 3 cm
3cm
V = [?] cm³
The volume of the given cylinder is 84.8 cm³.
Given: Radius of cylinder, r = 3cm Height of cylinder, h = 3cm
Formula used: Volume of cylinder = πr²hπ is a constant and is approximately equal to 3.14.
Volume of cylinder = πr²h= 3.14 x 3² x 3= 84.78 cm³ (rounded to the nearest tenth)= 84.8 cm³
Therefore, the volume of the given cylinder is 84.8 cm³.
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What is the name of a polygon that has four congruent sides and these angle
measures: 60°, 120°, 60°, 120°?
A. Rectangle
B. Rhombus
C. Trapezoid
D. Square
Answer:
I believe the answer is "rhombus." so B
Step-by-step explanation:
The tables represent the points earned in each game for a season by two football teams.
Panthers
14 10 10
10 17 3
28 13 17
32 16 10
14 7 21
Cowboys
10 3 8
6 24 12
21 3 10
28 28 7
7 13 3
Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 14 points
Cowboys; they have a larger median value of 10 points
Panthers; they have a larger mean value of about 14.8 points
Cowboys; they have a larger mean value of about 12.2 points
Answer:
Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.
Step-by-step explanation:
To compare the measures of center, we can calculate the mean and median points earned by each team:
Panthers: Mean = 212/15 = 14.13 points, Median = 14 points
Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points
Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.
So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).
Can someone PLEASE help me on A 3
Answer:
20.5, 23, 25.5
Step-by-step explanation:
+2.5
hope this helps branliest plzz
What are the solutions to the following equation?
Answer:
What equation?
Step-by-step explanation:
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Find the components of the vertical force Bold Upper FFequals=left angle 0 comma negative 4 right angle0,−4 in the directions parallel to and normal to the plane that makes an angle of StartFraction pi Over 3 EndFraction π 3 with the positive x-axis. Show that the total force is the sum of the two component forces.
Answer:
\(F_p = < - \sqrt{3} , -3 >\\\\F_o = < \sqrt{3} , -1 >\)
Step-by-step explanation:
- A plane is oriented in a Cartesian coordinate system such that it makes an angle of ( π / 3 ) with the positive x - axis.
- A force ( F ) is directed along the y-axis as a vector < 0 , - 4 >
- We are to determine the the components of force ( F ) parallel and normal to the defined plane.
- We will denote two unit vectors: ( \(u_p\) ) parallel to plane and ( \(u_o\) ) orthogonal to the defined plane. We will define the two unit vectors in ( x - y ) plane as follows:
- The unit vector ( \(u_p\) ) parallel to the defined plane makes an angle of ( 30° ) with the positive y-axis and an angle of ( π / 3 = 60° ) with the x-axis. We will find the projection of the vector onto the x and y axes as follows:
\(u_o\) = < cos ( 60° ) , cos ( 30° ) >
\(u_o = < \frac{1}{2} , \frac{\sqrt{3} }{2} >\)
- Similarly, the unit vector ( \(u_o\) ) orthogonal to plane makes an angle of ( π / 3 ) with the positive x - axis and angle of ( π / 6 ) with the y-axis in negative direction. We will find the projection of the vector onto the x and y axes as follows:
\(u_p = < cos ( \frac{\pi }{6} ) , - cos ( \frac{\pi }{3} ) >\\\\u_p = < \frac{\sqrt{3} }{2} , -\frac{1}{2} >\\\)
- To find the projection of force ( F ) along and normal to the plane we will apply the dot product formulation:
- The Force vector parallel to the plane ( \(F_p\) ) would be:
\(F_p = u_p(F . u_p)\\\\F_p = < \frac{1}{2} , \frac{\sqrt{3} }{2} > [ < 0 , - 4 > . < \frac{1}{2} , \frac{\sqrt{3} }{2} > ]\\\\F_p = < \frac{1}{2} , \frac{\sqrt{3} }{2} > [ -2\sqrt{3} ]\\\\F_p = < -\sqrt{3} , -3 >\\\)
- Similarly, to find the projection of force ( \(F_o\) ) normal to the plane we again employ the dot product formulation with normal unit vector ( \(u_o\) ) as follows:
\(F_o = u_o ( F . u_o )\\\\F_o = < \frac{\sqrt{3} }{2} , - \frac{1}{2} > [ < 0 , - 4 > . < \frac{\sqrt{3} }{2} , - \frac{1}{2} > ] \\\\F_o = < \frac{\sqrt{3} }{2} , - \frac{1}{2} > [ 2 ] \\\\F_o = < \sqrt{3} , - 1 >\)
- To prove that the projected forces ( \(F_o\) ) and ( \(F_p\) ) are correct we will apply the vector summation of the two orthogonal vector which must equal to the original vector < 0 , - 4 >
\(F = F_o + F_p\\\\< 0 , - 4 > = < \sqrt{3}, -1 > + < -\sqrt{3}, -3 > \\\\< 0 , - 4 > = < \sqrt{3} - \sqrt{3} , -1 - 3 > \\\\< 0 , - 4 > = < 0 , - 4 >\) .. proven
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the curves y = 16 /(x^2 + 16) , y = 0, x = 0, and x = 4.
The answer is supposed to come out to pi + (pi^2)/2.
The volume of the solid obtained by rotating about the x-axis the region enclosed by the curves is 32π/5 cubic units.
In this problem, we are asked to find the volume of a solid obtained by rotating a region enclosed by curves about the x-axis. We will use integration to calculate the volume.
First, let's sketch the region and the solid we need to find the volume of.
The region is enclosed by the curves
=> y = 16 /(x² + 16), y = 0, x = 0, and x = 4.
When we rotate this region about the x-axis, we get a solid with a hole in the center, shaped like a donut.
To find the volume of this solid, we can use the method of cylindrical shells.
We start by taking a thin strip of the region, parallel to the y-axis, and of width dy. This strip has height y, and we rotate it about the x-axis to get a cylindrical shell of thickness dy and radius x.
The volume of this cylindrical shell is given by the formula V = 2πxy dy, where x is the distance from the y-axis to the edge of the shell.
To express x in terms of y, we can solve for x in the equation
y = 16 /(x² + 16).
y(x² + 16) = 16
x² = 16/y - 16
x = √(16/y - 16)
Now we can substitute x into the formula for V to get:
V = 2πx(16/(x² + 16)) dy
\(= 2\pi(16/y - 16)^{1/2}(16/y) dy \\\\= 32\pi(y - y^{3/2}) dy\)
To find the total volume, we integrate this expression from y = 0 to y = 1 (since the maximum value of y is 16/16 = 1):
\(\int_0^1 32\pi(y - y{(3/2)}) dy = 32\pi/5\)
Therefore, the volume of the solid obtained by rotating the region about the x-axis is 32π/5 cubic units.
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Explain how you could use either multiplication or division to solve the same equation.
Answer:
Multiply By Decimal
Step-by-step explanation:
If you multiply a number by a decimal you get the same outcome that you would if you would have divided it
Determine the domain and range of the graph of this function.
x ≤ 4, -2≤ y ≤ 2 are the domain and range of the graph of this function.
What is the domain and domain of the function in the graph?
Another way to identify domains and feature sets is with graphs. Domain refers to the set of possible input values, so a chart's domain consists of all input values displayed on the x-axis.
A range is the set of possible output values plotted on the y-axis. To find the domain and domain of the equation y = f(x), find the value of the independent variable x for which the function is defined.
y = f(x)
according to the graph value of y
x ≤ 4,
-2≤ y ≤ 2
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An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
Paul is playing a board game and rolls two number cubes. Let A = (the sum of the number cubes is odd), and let B = (the sum of the number cubes is divisible by 4). List the outcomes in A U B.
The outcomes in set A U B are 1, 3, 5, 6, 7, 8, 9, 10, 11, 12 (the odd sums) 4, 8, 12 (the sums divisible by 4)
The sum of the number cubes is odd if one die shows an even number and the other shows an odd number, or vice versa.
There are 3 even numbers and 3 odd numbers on a number cube, so there are 3 x 3 = 9 ways to get an odd sum.
The sum of the number cubes is divisible by 4 if both dice show either 2 or 4.
There are 2 ways to get a 2 on a number cube and 2 ways to get a 4, so there are 2 x 2 = 4 ways to get a sum of 4.
Therefore, the outcomes in A U B are 1, 3, 5, 6, 7, 8, 9, 10, 11, 12 (the odd sums) 4, 8, 12 (the sums divisible by 4)
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A store is offering 20% discounts on new laptops and 10% discounts on new printers when the two are purchased together. The original prices of the two together is at least $1,050. The discounted price exceeds $860. Which system of inequalities can be used to find the possible original prices of a laptop, x, and of a printer, y?
The system of inequalities that can be used to find the possible original prices of a laptop, x, and of a printer, y is: x + y ≥ 1050 and 0.8x + 0.9y > 860
How to determine the system of inequalitiesLet x be the original price of the laptop and y be the original price of the printer.
So, the discounted price of the laptop is 0.8x and the discounted price of the printer is 0.9y
If the two are purchased together, the total discounted price is:
0.8x + 0.9y
This exceeds $860
0.8x + 0.9y > 860
The original prices of the two together is at least $1,050.
This can be written as:
x + y ≥ 1050
So, we have
x + y ≥ 1050 and 0.8x + 0.9y > 860
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