Answer:
I'd say B bcs it's the only thing that would fit with the shift on x axis and y axis
18.75 divided by 0.70
Answer:
26.79 (rounded to the nearest hundredth)
\(\frac{2}{2+\sqrt{7} }\)
Answer:
\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)
Step-by-step explanation:
This is a rationalizing denominator question.
Given expression:\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)
four times the difference of a number and 1 is 18
Answer:
17+1=18 i think that is what you mean
Step-by-step explanation:
4 3/12 + 1 4/12 = (make sure you simplify the fraction)
Answer:
5 7/12 but it's 67/12 as an improper fraction
Step-by-step explanation:
determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
Treating 20 bald men with a special shampoo and recording how they say their scalp feels
Choose the correct answer below.
A. It is binomial or can be treated as binomial.
B. It is not binomial because the probability of success does not remain the same in all trials.
C. It is not binomial because there are more than two possible outcomes.
D. It is not binomial because there are more than two possible outcomes and the trials are not independent.
The given procedure results as not binomial and cannot be treated as binomial. It is not binomial because the probability of success does not remain the same in all trials. The correct answer is option B.
What is binomial distribution?Binomial distribution compiles the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution controls the probability of observing a specified number of successful outcomes in a specified number of trials.
In a binomial distribution, the probability of getting a success have to remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is half or 0.5 for every trial we conduct, because there are only two possible outcomes.
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A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7
your answer is k=10 the step by step is kn the picture
A computer designer has to build a computer which can executes 300 instructions and represents integers in
\( - {10}^{14} \)
to
\( {10}^{14} \)
lf one instruction is stored in the entire memory word, what is the maximum memory capacity this computer can occupy?
The computer can occupy a maximum of 1200 bytes of memory.
To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.
If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.
The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.
Hence, the maximum memory capacity this computer can occupy would be 300 memory words.
To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:
300 memory words * 4 bytes per word = 1200 bytes.
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Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect
Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
What is meant by slope-intercept?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. Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.To learn more about slope-intercept, refer to:
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Find the function represented by the following series and find the interval of convergence of the series. Sigma Infinity k=0[x^2+3/4]^k. The function represented by the series Sigma Infinity k=0[x^2+3/4]^k is f(x)= The interval of convergence is (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed.)
The function represented by the series is \($\quad f(x)=\frac{4}{1-x^2}$\)
The interval of convergence of the series is ( - 1, 1 )
As per the question the given function is:
\($$\sum_{k=0}^{\infty}\left(\frac{x^2+3}{4}\right)^k$$\)
\($$\sum_{n=0}^{\infty} a r^n=\frac{1}{1-r}$$\)
\($$\sum_{n=0}^{\infty} x^n=\frac{1}{1-x}$$\)
\($$\begin{aligned}\sum_{k=0}^{\infty}\left(\frac{x^2+3}{4}\right)^k & =\frac{1}{1-\frac{x^2+3}{4}} \\& =\frac{1}{\frac{4-x^2-3}{4}} \\& =\frac{4}{1-x^2}\end{aligned}$$\)
Thus, \($\quad f(x)=\frac{4}{1-x^2}$\)
\($$\sum_{k=0}^{\infty}\left(\frac{x^2+3}{4}\right)^k=\sum_{k=0}^{\infty} \frac{\left(x^2+3\right)^k}{4^k}$$\)
\($$\begin{aligned}L & =\lim _{k \rightarrow \infty}\left|\frac{\left(x^2+3\right)^{k+1}}{4^{k+1}} \frac{4^k}{\left(x^2+3\right)^k}\right| \\& =\lim _{k \rightarrow \infty}\left|\frac{\left(x^2+3\right)}{4}\right| \\& =\left|\frac{\left(x^2+3\right)}{4}\right|\end{aligned}$$\)
The series will converge, if L<1
\($$\begin{array}{ll} & \left|\frac{\left(x^2+3\right)}{4}\right| < 1 \\ & \frac{\left(x^2+3\right)}{4} < 1 \\ & x^2+3 < 4 \\\end{array}\)
\(& x^2 < 1 \\\)
|x| < 1
-1 < x < 1
Substitute the values of 'x' in the given function
At, x = - 1
\(\begin{aligned} \\\qquad \begin{aligned}\sum_{k=0}^{\infty}\left(\frac{x^2+3}{4}\right)^k & =\sum_{k=0}^{\infty}\left(\frac{(-1)^2+3}{4}\right)^k \\& =\sum_{k=0}^{\infty}\left(\frac{4}{4}\right)^k \\& =\sum_{k=0}^{\infty} 1^k\end{aligned}\end{aligned}$$\)
Also, at x = 1
\($$\begin{aligned}\sum_{k=0}^{\infty}\left(\frac{x^2+3}{4}\right)^k & =\sum_{k=0}^{\infty}\left(\frac{(1)^2+3}{4}\right)^k \\& =\sum_{k=0}^{\infty}\left(\frac{4}{4}\right)^k \\& =\sum_{k=0}^{\infty} 1^k\end{aligned}$$\)
Thus, the interval of convergence is ( - 1, 1 )
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Suppose you are a chemist who is trying to synthesize a specific compound. You have been working with a new technique and you think that this process can turn 60% of the input compounds into the desired synthesized compound, and want to attempt the process enough times to get an estimate that is within .04 of the true proportion that is converted. How many times should you execute the process to get the desired precision
Answer:
The sample size 'n' = 576
576 times should you execute the process to get the desired precision
Step-by-step explanation:
Explanation :-
Step(i)
Given data the process can turn 60% of the input compounds into the desired synthesized compound.
Sample proportion ' p' = 60% = 0.60
Given data the estimate within 0.04 of the true proportion that is converted
The margin of error of the true population proportion
M.E = 0.04
Step(ii)
The margin of error of the true population proportion is determined by
\(M.E = \frac{ Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }\)
\(0.04 = \frac{ 1.96 \sqrt{0.60(1-0.60)} }{\sqrt{n} }\)
\(\sqrt{n} = \frac{ 1.96 \sqrt{0.60(1-0.60)} }{0.04 }\)
on calculation, we get
\(\sqrt{n} = 24\)
squaring on both sides ,we get
n = 576
Final answer:-
The sample size 'n' = 576
576 times should you execute the process to get the desired precision
what the step for answer
Answer:
See explanations below
Step-by-step explanation:
What the step for answer
Given the nth terms of as sequence expressed as
Sins a ≥ 3, we can find the third term of the sequence
an = 2an-1 + an-2 - 2an-3
If a1 = 6 and a2 = 0 and a0 = 3
a3 = 2a2 + a1 - 2a0
a3 = 2(0) + 6 - 2(3)
a3 = 0 + 6 - 6
a3 = 0
If n = 4
a4 = 2a3 + a2 - 2a1
a4 = 2(0) + 0 - 2(6)
a4 = 0 + 0 - 12
a4 = -12
The sum of two numbers is 48. Their difference is 38. Find the numbers.
Answer:
43 and 5
Step-by-step explanation:
Let's let the two unknown numbers be a and b.
Their sum is 48, therefore:
\(a+b=48\)
And their difference is 38. In other words:
\(a-b=38\)
We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:
\(a=38+b\)
Substitute this into the first equation:
\((38+b)+b=48\)
Combine like terms:
\(2b+38=48\)
Subtract 38 from both sides:
\(2b=10\)
Divide both sides by 2:
\(b=5\)
So, one of the numbers is 5.
The sum of them is 48. Therefore, the other number is 48-5 or 43.
So, our two numbers are 43 and 5.
And we're done!
Answer:
5 and 43
I hope this helps!
PLEASE HELP ME KSDAKJDSAJDJKS
Answer: x = 16
Step-by-step explanation:
60x - 60 = 900
60x = 960
60x / 60 = 960 / 60
x = 16
How do you expand this?
y²+2/5 × xy
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
How do you expand this?y²+2/5 × xy\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)
\( \sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\ \)
Factor out \(\sf\frac{1}{5}\).
\( \sf\frac{5y^{2}+2xy}{5} \\ \)
Consider 5y² + 2xy. Factor out y.
\( \sf \: y\left(5y+2x\right) \)
Rewrite the complete factored expression.
\( \boxed{ \boxed{ \bf\frac{y\left(2x+5y\right)}{5} }} \\ \)
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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What is the distance between -23 and 6
Answer:
29
Step-by-step explanation:
add 23 to cancel the negative then add 6 to get the final answer
Answer:
29 units.
Step-by-step explanation:
The distance is 6 - (-23)
= 6 + 23
= 29 units.
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠BAF and ∠CAF are complementary.
∠BAF and ∠BAC are adjacent.
∠DAC and ∠CAB are supplementary.
Answer:
The second one is the lie adjacent means next to each other there not therefore thats the lie hope that helps!
A.solves routine and non-routine problems involving perceentage using appropriate strategies and tools.M5NS-IIIIb-40
Observe the solution to the given problem below.
christmas season is coming and ana is so excited to do her shopping in her list is a pair of shoes that she will wear for their christmas party.what made her more excited was when she saw that her dream pair of shoes is on sale.
from P 4 295, it is now sold with 20%
The sale price of the shoe is given as follows:
P3,436.
How to obtain the sale price of the shoe?The sale price of the shoe is obtained applying the proportions in the context of the problem.
The initial price is of:
P 4,295.
The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:
0.8 x 4295 = P3,436.
Missing InformationThe problem asks for the selling price of the shoe.
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Select the correct answer. Which function represents the inverse function of the function f(x)=x^2 +5
Answer:
f^(-1)(x) = ±√(x - 5).
Step-by-step explanation:
Replace f(x) with y: y = x^2 + 5.
Swap the x and y variables: x = y^2 + 5.
Solve the equation for y. To do this, we'll rearrange the equation:
x - 5 = y^2.
Take the square root of both sides (considering both positive and negative square roots):
±√(x - 5) = y.
Swap y and x again to express the inverse function:
f^(-1)(x) = ±√(x - 5).
Can some PLEASE HELP ME WITH THIS ASSIGNMENT I REALLY NEED HELP PLEASE ITS DUE IN 5 minutes thank you
Answer:
From 64 to 144 which is a increase of 80
Step-by-step explanation:
Area=l times w and since all squares are equal sides the l and w are 8 so 8x8 l(w) equal 64. Then you add 4 to the sides making l and w= 12 you do 12x12= 144 and 144-64=80
f(x) = -22 – 92
= 9x
Find f(-2)
Answer: 14
Step-by-step explanation:
THIS IS CAKE! watch. it is simple as this. replace x with -2
-(-2)^{2} - 9(-2)
we get -4+18
the answer is 14
.....................
Which set of values could be the side length of a 30 60 90 triangle? A. {5,5v3,10}
Therefore, the answer is A. {5, 5√3, 10}.
The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.
In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.
Let's check if the given set of values satisfies this ratio:
If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.
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What is the intermediate step in the form
(x+a)^2=b as a result of completing the square for the following question
The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)
To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:
1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).
2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).
3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:
\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).
4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).
This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)
This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.
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Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 45 feet from point A and 69 feet from point B. The angle A C B is 52'. How far apart are points A and B?
Select one:
a. 93.3 feet
b. 69.8 feet
c. 76.7 feet
d. 103.5 feet
e. 54.4 feet
The value of distance between points A and B is 54.4 feet.
What is the law of cosine?
The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle is known (SAS) or the lengths of the three sides (SSS) are known as the law of cosines states: c²=a²+b²−2ab cos C .
Solution:
Using the law of cosines we get:
(AB)²=(AC)²+(BC)²-2AC×BC×cos(C)
(AB)²= (45)²+(69)²-2(45)(69)cos(52°)
(AB)² = 2025 + 4761 - 3823.2577
∴ AB = 54.4 feet
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1. Abby baked 2-dozen brownies. She took 1 dozen to her scout meeting. Her family ate 8, and she put the rest in a container in the refrigerator. How can Abby find the number of brownies left in the refrigerator?
In order to determine the amount of brownies left in the refrigerator, subtract 8 from 12.
How many brownies are left in the refrigerator?If Abby bakes 2 -dozen brownies, she baked 24 brownies. There are 12 pieces in 1 dozen, thus if she bakes two dozens, she baked 24 brownies ( 12 x 2).
The amount of brownies left after she takes one dozen to school = amount baked - amount taken for the meeting
24 - 12 = 12
Amount left in the refrigerator : amount left after she took a dozen for the meeting - amount eaten by her family
12 - 8 = 4
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2. Which of the following graphs show a function with domain 1 ≤ x ≤ 6? Select two that
apply.
Answer:
Graphs A and B
Step-by-step explanation:
Graphs A & B are using x-values 1-6 and stop there, which is what the domain is trying to find. Though, for the other graphs, these graphs are rather starting at 1 via the domain, while not going up to 6 on the domain.
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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A data set is normally distributed with a mean of 8.1 and a standard deviation of 3.8.
What percentage of the data is above 8.6?
Enter your answer as a number to the nearest whole percentage, like this: 42%
Answer:
45%
Step-by-step explanation:
Your graphing calculator, statistics app, or spreadsheet can tell you that 45% of the normally-distributed data is above 8.6 when the mean is 8.1 and the standard deviation is 3.8.