Answer:
430.2857...
Step-by-step explanation:
Answer:
\(3.012\) ÷ \(7\) = 430.285
Question
Marco is writing a coordinate proof involving a right isosceles triangle. Marco places his triangle on the coordinate plane such that the base of the triangle lies along the x-axis.
What coordinates should he assign to this third vertex of the isosceles triangle?
Responses
(2a, 2b)
begin ordered pair 2 a comma 2 b end ordered pair
(a, b)
begin ordered pair a comma b end ordered pair
(b, a)
begin ordered pair b comma a end ordered pair
(b, b)
Somebody please help me
Step-by-step explanation:
x - 1 = - 3x - 14
Bringing like terms on one side
x + 3x = -14 + 1
4x = - 13
x = - 13/4
The price of a shirt is $20.50, but you have a coupon that lowers the price by 40%. What is the price of the shirt after using the coupon? *
Answer:
$12.30
Step-by-step explanation:
hope this helps!
Answer:
8
Step-by-step explanation:
Help please thanks in advance
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
Question content area top Part 1 Consider a political discussion group consisting of 7 Democrats, 5 Republicans, and 3 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting a Republican and then an Independent.
The probability of selecting a Republican and then an Independent is 1/15
Finding the probability of selecting a Republican and then an Independent.From the question, we have the following parameters that can be used in our computation:
Political discussion group consisting of
7 Democrats5 Republicans3 Independents.If the people are replaced, then we have
P(Republicans) = 5/15
P(Independents) = 3/15
So, we have
The probability of selecting a Republican and then an Independent
P = 5/15 * 3/15
Evaluate
P = 1/15
Hence, the probability of selecting a Republican and then an Independent is 1/15
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Help please
50 points
Answer:
The answer would be B
Step-by-step explanation:
Use the limit comparison test to determine whether ∑n=19∞an=∑n=19∞8n3−2n2+196+3n4 converges or diverges.
(a) Choose a series ∑n=19∞bn with terms of the form bn=1np and apply the limit comparison test. Write your answer as a fully simplified fraction. For n≥19,
limn→∞anbn=limn→∞
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and −∞ as -infinity. If the limit does not exist, enter DNE.
limn→∞anbn =
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive?
Answer:
Diverges
General Formulas and Concepts:
Algebra I
Exponential Rule [Dividing]: \(\displaystyle \frac{b^m}{b^n} = b^{m - n}\)Calculus
Limits
Limit Rule [Variable Direct Substitution]: \(\displaystyle \lim_{x \to c} x = c\)Series Convergence Tests
P-Series: \(\displaystyle \sum^{\infty}_{n = 1} \frac{1}{n^p}\)Direct Comparison Test (DCT)Limit Comparison Test (LCT): \(\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n}\)Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}\)
Step 2: Apply DCT
Define Comparison: \(\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{n^3}{n^4}\)[Comparison Sum] Simplify: \(\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{1}{n}\)[Comparison Sum] Determine convergence: \(\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{1}{n} = \infty , \ \text{div by P-Series}\)Set up inequality comparison: \(\displaystyle\frac{8n^3 - 2n^2 + 19}{6 + 3n^4} \geq \frac{1}{n}\)[Inequality Comparison] Rewrite: \(\displaystyle n(8n^3 - 2n^2 + 19) \geq 6 + 3n^4\)[Inequality Comparison] Simplify: \(\displaystyle 8n^4 - 2n^3 + 19n \geq 6 + 3n^4 \ \checkmark \text{true}\)∴ the sum \(\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}\) is divergent by DCT.
Step 3: Apply LCT
Define: \(\displaystyle a_n = \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}, \ b_n = \frac{1}{n}\)Substitute in variables [LCT]: \(\displaystyle \lim_{n \to \infty} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4} \cdot n\)Simplify: \(\displaystyle \lim_{n \to \infty} \frac{8n^4 - 2n^3 + 19n}{6 + 3n^4}\)[Limit] Evaluate [Coefficient Power Rule]: \(\displaystyle \lim_{n \to \infty} \frac{8n^4 - 2n^3 + 19n}{6 + 3n^4} = \frac{8}{3}\)∴ Because \(\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} \neq 0\) and the sum \(\displaystyle \sum^{\infty}_{n = 19} a_n\) diverges by DCT, \(\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}\) also diverges by LCT.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Convergence Tests (BC Only)
Book: College Calculus 10e
Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
T
<
(From Unit 6, Lesson 4.)
2/4 -
Illustrative
5. Explain why the values of the exponential expression 3* will eventually overtake the
values of the quadratic expression 10x².
of a building
The reason why 3ˣ will eventually overtake the values of 10x² is because they grow at different rates with 3ˣ growing faster.
How to find the rates of growth ?For 10x², the rate of growth of a quadratic function is proportional to x. As x increases, the function's value increases at a rate that is directly proportional to x.
For 3ˣ, the rate of growth of an exponential function is proportional to the current value of the function. As x increases, the function's value increases at an ever-increasing rate.
For small values of x, the first derivative of the quadratic expression (20x) might be larger than the first derivative of the exponential expression (3^x × ln(3)). However, as x increases, the exponential function's derivative (3^x × ln(3)) increases much more rapidly compared to the quadratic function's derivative (20x), indicating that the exponential function is growing faster.
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In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains 817 grams of copper. How many grams of zinc does it contain?
Answer:
3900
Step-by-step explanation:
first, you tell your mom to help you after you scream and go to the hospital and pretend you crazy after magic bye I hope that hell
As a promotional feature, a store conducts a weekly raffle. During any week, 40% of the customers who turn in one or more tickets do not bother to turn in tickets the following week. On the other hand, 30% of the customers who do not turn in tickets will turn in one or more tickets the following week. Find and interpret the steady matrix for this situation.
Given statement solution is :- Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
To analyze the steady matrix for this situation, let's consider the two groups of customers: those who turn in tickets and those who do not turn in tickets.
Let's denote the proportion of customers who turn in tickets as X and the proportion of customers who do not turn in tickets as Y.
According to the given information:
40% of the customers who turn in tickets do not turn in tickets the following week. This means that 60% of the customers who turn in tickets will turn in tickets again the following week.
30% of the customers who do not turn in tickets will turn in tickets the following week. This means that 70% of the customers who do not turn in tickets will continue not turning in tickets the following week.
Based on these percentages, we can construct the steady matrix:
java
Copy code
| Customers turning in tickets (X) | Customers not turning in tickets (Y) |
----------|----------------------------------|--------------------------------------|
Next week 0.6 0.3
This week 0.4 0.7
Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The value 0.4 in the bottom left cell represents the proportion of customers who do not turn in tickets this week but will turn in tickets next week.
The value 0.7 in the bottom right cell represents the proportion of customers who do not turn in tickets this week and will continue not turning in tickets next week.
These values describe the transition probabilities between the two customer groups. For example, if there are 100 customers in total, 60 of them will turn in tickets next week, and 40 of them will not. Similarly, 30 customers who turn in tickets this week will not do so next week, while 70 customers who do not turn in tickets this week will continue to not turn them in next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
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Find the surface area and volume of a sphere.
A = 4 r²
V = 4/3r³
A sphere has a radius of 4 inches.
Area (to the nearest tenth) =
Volume (to the nearest tenth) =
sq. in.
cu. in.
\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)
Help would be appreciated
Porcent. Word Problems
1) Potor want to his local zoo that featured 28 bird cachibits. If these bird ochibits make up
80% of the zoo's exhibits, then how many exhibits does the zoo have in total? Round your
answer to the nearest whole number if necessary.
Answer:
There are 35 total exibits.
Step-by-step explanation:
Is an acute triangle less than 90 degrees?
Yes, an acute triangle less than 90 degrees
what is acute triangle?
An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.
Hence the triangle less than 90 degrees is acute angle
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when three squares are joined at their vertices to form a right triangle, the combined are of the two smaller squares is the same of the area of largest square. Which three squares do NOT support this statement ?
Answer:
C. 9, 40, 42
Step-by-step explanation:
C is the only set of three values that is not a Pythagorean Triple. In other words, they do not satisfy \(a^2+b^2=c^2\), as stipulated in the problem.
⇒ Answer choice C
Answer:
C
Step-by-step explanation:
Use phytogoras theorem
First small square area + second small square area = large square area
9 * 9 + 40 *40
81+ 1600= 1681(large square area)
Large square length =
Square root of 1681 = 41
8. What is the equation of the function shown in the graph?
Yaxs
B.
C.
y=-3x
y=3x
y= x
y=-3x
Xanl
The equation of the given function is y = -1/3 x. By using the points through which the line passing through, we can find its equation. Option A is correct.
What is the formula for finding the equation of a line passing through two points?The equation of the line passing through two points such as (x1, y1) and (x2, y2) is
y - y1 = [(y2 - y1)/(x2 - x1)] × (x - x1)
Calculation:From the given graph, the line is passing through the points (0, 0), (-3, 1), and (3, -1).
The equation of the line passing through (-3, 1) and (3, -1) is
y - y1 = [(y2 - y1)/(x2 - x1)] × (x - x1)
⇒ y - 1 = (-1 - 1)/(3 + 3) × (x + 3)
⇒ y - 1 = -2/6 (x + 3)
⇒ y - 1 = -1/3 (x + 3)
⇒ 3y - 3 = -x - 3
⇒ 3y = -x
⇒ y = -1/3 x
So, option A is correct.
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(x+4)(x-5)=0 quadratic equation
Answer:
x = -4 or x = 5
Step-by-step explanation:
hope it helped
\(\left \{ {{x+4=0} \atop {x-5=0}} \right. \\\left \{ {{x=-4} \atop {x=5}} \right.\)
Thus, x= -4. 5
m grade> Y.4 Area and perimeter: word problems JFR
A rectangular garage is 6 meters wide and 7 meters long. What is its perimeter?
Answer:
26 meters
Step-by-step explanation:
To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters
The radius of a circle is 10 in. Find its circumference in terms of � π.
Answer:
20π [in].
Step-by-step explanation:
1. formula is:
C=π*2r;
2. the circumference according to the formula is:
C=π*10*2=20π.
9. If you borrow $200 at 10% for seven years, how much will you pay back by the end of the term?
Answer:
You will have to pay 140 dollars.
Step-by-step explanation:
Go onto calculator soup and look up simple interest calculator. :)
Hugo bought a pair of boots on sale for$52 The original price was $65 what percent was the discount
Answer:
20%
Step-by-step explanation:
\(\frac{52}{65}\)×100=80
100-80=20
846.27 divided by 0.22
Write the fraction as a mixed number 10/20
Which graph represents the function p(x) = |x – 1|?
On a coordinate plane, an absolute value graph has a vertex at (0, 1).
On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).
On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).
The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).
The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).
Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.
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Brianna drugs 15 minutes more on Sunday then srdi she job 26 minutes on saturdy how many minutes did she job on Sunday
Brainna jogged 41 minutes on Sunday
Here we want to get the number of minutes jogged by Brianna on sunday
From the question, we have that she jogs 15 minutes more on Sundays compared to saturdays
Now, she jogged 26 minutes on Saturday, to find the number of minutes jogged on Sunday, we proceed to add these two together
Mathematically, we have this as;
\(\begin{gathered} \text{sunday = 15 + saturday} \\ \text{saturday = 26} \\ \text{Sunday = 15 + 26} \\ \text{Sunday = 41 minutes} \end{gathered}\)A group of people signed up for a bus tour that costs a total of $1120. If they can increase the size of their group by 7 people, the amount each person has to pay decreases by $8. How many people are currently signed up?
Answer: 160
Step-by-step explanation:
which one of the following is a solution to |2x-1|>3 A.2, B.-1, C.-2, D.1, E.None of these
Evaluate each expression for the given value of the variables. 2x + y for x= 7 and y = 11
Answer:
25
Step-by-step explanation:
Substitute 7 into 2, and 11 into y.
2(7)+(11)
14+11
25