Work Shown:
x = 2 is the input
y = 2x+1
y = 2(2)+1
y = 4+1
y = 5 is the output
A function is a relationship between inputs where each input is related to exactly one output.
The value of the output of function 2x + 1 when x =2 is 5.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
1.
f(x) = 3x + 2
x = 1,
f(1) = 3x1 + 2 = 3 + 2 = 5
Input = 1
Output = 5
2.
g(x) = 4x + 2
For x = 1, g(1) = 4x1 + 2 = 4 + 2 = 6
Input = 1
Output = 6
We have,
Function:
2x + 1
Input = 2
The value of the output of the function 2x + 1 when x =2:
= 2x + 1
= 2x2 + 1
= 4 + 1
= 5
Thus,
The value of the output of function 2x + 1 when x =2 is 5.
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Which is a better estimate for the volume of a salt shaker?
Total volume of the salt shaker is 56.52+706.5=763.02 cm³
What is the area and volume of a right circular cylinder?The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.
Given here: The volume of a salt shaker
The radius of the salt shaker which is 5 cm
Thus the volume of the cylinderical salt shaker is = π×3²×5²
=706.5 cm³
and the volume of the hemisphere at the top is= (2/3)πr³
=56.52 cm³
Hence, Total volume of the salt shaker is 56.52+706.5=763.02 cm³
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The complete question is Which is a better estimate for the volume of a salt shaker? where radius =3 cm and height =5 cm
please help me figure out the volume c;
Answer:
V=L×W×H
Step-by-step explanation:
V=4×3×5
V=60 inches Cubed
f(x)=x^2+4x-6 a) f(x) can be written in the form (x+m)^2+n find the value of m and the value of n b) use your answer to part (a) to find the positive solution to x^2+4x-6=0
Answer:
see explanation
Step-by-step explanation:
Using the method of completing the square.
Given
f(x) = x² + 4x - 6
add/subtract ( half the coefficient of the x- term )² to x² + 4x
f(x) = x² + 2(2)x 6 + 4 - 4 - 6
= (x + 2)² - 10
with m = 2 and n = - 10
To solve the equation let f(x) = 0 , that is
(x + 2)² - 10 = 0 ( add 10 to both sides )
(x + 2)² = 10 ( take the square root of both sides )
x + 2 = ± \(\sqrt{10}\) ( subtract 2 from both sides )
x = - 2 ± \(\sqrt{10}\)
The positive solution is
x = - 2+ \(\sqrt{10}\) ≈ 1.16 ( to 2 dec. places )
PLEASE HELP!!!!!
Need hELP ASAP
Answer:
bro please help me make me brianliest I think c
determine the probability that neither card shows an even number, with replacement.
To determine the probability that neither card shows an even number with replacement, we need to calculate the probability of drawing an odd number on each card and multiply the probabilities together.
Let's assume we have a standard deck of 52 playing cards, where half of them are even numbers (2, 4, 6, 8, 10) and the other half are odd numbers (1, 3, 5, 7, 9).
Since the cards are replaced after each draw, the probability of drawing an odd number on each card is 1/2. Therefore, the probability that neither card shows an even number is:
P(neither card shows an even number) = P(odd on card 1) * P(odd on card 2) = 1/2 * 1/2 = 1/4
So, the probability that neither card shows an even number, with replacement, is 1/4.
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Hello, I am currently struggling badly. I need help with this please!
The pythagorean triple is at least one of the legs of a Pythagorean triple must be even.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
We are given that;
(2 y2)2 + (2xy)2 = (x² + y2)2
1. Let's choose 2 and 5 as our two numbers, and let 2 replace y, while 5 replaces x. Substituting these values into the Pythagorean identity, we get:
(2y)² + (2xy)² = (x² + y²)²
⇒ (2(2))² + (2(5)(2))² = (5² + 2²)²
⇒ 4² + 20² = 29²
2. We chose the number 2 to replace y because we want to create a Pythagorean triple, which means we need to find values of x, y, and z (the hypotenuse) that satisfy the Pythagorean theorem, a² + b² = c². In this case, since we chose 2 as y, we can think of this as the length of one of the legs of a right triangle, and we want to find values of x and z that make this true.
3. To find a Pythagorean triple using these numbers, we just need to set x = 5 and z = 29 (which we obtained from the Pythagorean identity). Then we have:
a = 2, b = 5, c = 29
and we can verify that this is a Pythagorean triple by checking that a² + b² = c²:
2² + 5² = 4 + 25 = 29 = 29²
4. At least one leg of the triangle that the Pythagorean triple represents must have an even-numbered length because in any Pythagorean triple, one of the legs must be even. If a and b are both even, then their sum (c) will also be even. Therefore, at least one of the legs of a Pythagorean triple must be even. In our example, we chose 2 to be the even number, and indeed, it is the length of one of the legs of the right triangle represented by the Pythagorean triple.
Therefore, by pythagoras theorem the answer will be at least one of the legs of a Pythagorean triple must be even.
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A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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what is 1 5/8 rounded to the nearest half A.1 B.1 1/2 C.2 D.2 1/2
Answer: B
Step-by-step explanation:
HAVE A BLESSED DAY
Aldo needs 46 cookies for a party.
The cookies he wants come in packs of 8.
How many packs should he buy?
Answer:
6 Packs
Step-by-step explanation:
Since he needs 46 cookies, he will have to buy 46/8 which is 5.75 packs. But since the packs are sold in whole, not fractions, he buys a ceil approximation of the packs which is 6, because if he buys 5, it will not be enough.
What is the value of x?
74
138
69
148
Answer:
69
Step-by-step explanation:
All angles add up to 180 in a triangle.
Hope that helps
help pleae look at the picture!
Assume the world population at the end of 2017 was 7.4 billion people. The population growth rate in 2018 is 1.07%. How many more people were on the planet at the end 2018?
At the end of 2018, the world population was approximately 7.53 billion people. This figure is calculated by taking the total population at the end of 2017, 7.4 billion people, and multiplying it by the population growth rate of 1.07%..
This means that the world population increased by approximately 130 million people in 2018. This population growth rate is consistent with the average growth rate of the world population over the last decade. While the population growth rate has been decreasing over the past few decades, it is still relatively high at 1.07%.
The high population growth rate is primarily due to high fertility rates in developing countries and a longer life expectancy in developed countries. This means that more people are born and fewer people die each year. As a result, the total population of the world increases each year.
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Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
Answer:
6 batches
Step-by-step explanation:
Answer:
the answer is 8/3 u have to mutplay
Step-by-step explanation:
<1 and <2 are complementary angles. The measure of Z1 is 41°. The measure of <2 is 7(x - 1)º. Find the value of x.
HELP NOW I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
Answer:
i think its x=16 or x=11
Step-by-step explanation:
∠2 = 90 - 42 = 48 degrees
3x degrees = 48 degrees
3x = 48
x = 16
16
express x in term of y:x/7+2y=6
Answer:
see explanation
Step-by-step explanation:
Given
\(\frac{x}{7}\) + 2y = 6
Multiply through by 7 to clear the fraction
x + 14y = 42 ( subtract 14y from both sides )
x = 42 - 14y
How many 1/2 s are in 4 ?
Answer:
8
Step-by-step explanation:
To find this multiply 4/1 by 2/1.
4/1 x 2/1 = 8/1 = 8.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
8
Step-by-step explanation:
simply 1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2
The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate
The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.
The time Jasmine spends biking is indeed a function of the distance she bikes.
The formula to calculate the time Jasmine takes to bike a certain distance is equal to,
time = distance / speed __(1)
Here the speed is the rate at which Jasmine bikes = 18 miles per hour.
Let us consider 'd' be the distance representing the number of miles Jasmine bikes.
This implies,
The function that represents the time Jasmine spends biking in terms of the distance .
Function f(d) representing the time Jasmine spends biking for a distance of d miles
Substitute all the values in the formula (1) we get,
⇒ f(d) = d / 18
Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.
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The above question is incomplete , the complete question is:
The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.
Write the function representing the time Jasmine spends biking in terms of the distance?
An internal firewall sits at the boundary between the corporate site and the internet. true false
An internal firewall sits at the boundary between the corporate site and the internet. This statement is False.
A firewall is a security system designed to protect computer networks from unauthorized access. Firewalls are hardware, software, or a combination of both that act as a shield between an organization's internal network and the outside internet or other untrusted networks. It can also be used to separate an internal network from other internal networks.
Internal firewalls are utilized to improve an organization's security posture by segregating sensitive systems or networks from less sensitive systems. For example, one of the internal firewalls may be used to separate the accounting department's systems from the systems used by other departments to ensure that accounting information is only accessible by authorized individuals.
The statement that an internal firewall sits at the boundary between the corporate site and the internet is not true as it refers to an external firewall. The internal firewall is used to separate sensitive systems and networks from less sensitive ones, which helps to enhance the security of an organization.
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How do I find the volume?
Answer:
425 ft³
Step-by-step explanation
Find the volume of the entire figure, if the part wasn't cut out
It would be 11 x 8 x 5 = 440
Now do 5 x 1 x 3 = 15
440 - 15 = 425
If my answer is incorrect, pls correct me!
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Plz help and explain
Answer:
p(x) = (x-a)(x-b)(x-7) - a and b can be whatever you want, any real numbers
Step-by-step explanation:
If you plug in 7, you need to multiply the other two numbers by 0, which will result in 0. There are 3 factors since it must be a 3rd degree polynomial
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I NEED HELP ASAP PLS HURRY
Answer: C
Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.
can someone please help me
Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.
How to find the value of a trigonometric functionHerein we must make use of trigonometric expressions and properties of trigonometric functions to find the right value. According to trigonometry, both cosine and sine are negative in the third quadrant. Thus, by using the fundamental trigonometric expression (sin² α + cos² α = 1) and substituting all known terms we find that:
\(\sin \theta = -\sqrt{1 - \cos^{2}\theta}\)
\(\sin \theta = - \sqrt{1 - \left(-\frac{13}{30} \right)^{2}}\)
sin θ ≈ - √731 / 30
Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.
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Andrew used the following mental math strategy to find the total number of hours he worked on his project.6.6+2.75+4.46.6+2.75+4.4(6.6+4.4)+2.756.6+4.4+2.75 11+2.75=13.7511+2.75=13.75 What is the reason for his strategy?
urn a contains six white balls and seven black balls. urn b contains five white balls and three black balls. a ball is drawn from urn a and then transferred to urn b. a ball is then drawn from urn b. what is the probability that the transferred ball was white given that the second ball drawn was white?
Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.
To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:
P(A|B) = P(B|A) * P(A) / P(B)
where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.
In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:
P(A|B) = P(B|A) * P(A) / P(B)
P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.
P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.
P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.
To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.
The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.
Therefore, we can calculate P(B) as follows:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
= (2/3) * (6/13) + (5/9) * (7/13)
= 89/117
Now we can plug in all the values into Bayes' theorem to find P(A|B):
P(A|B) = P(B|A) * P(A) / P(B)
= (2/3) * (6/13) / (89/117)
= 52/89
Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.
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5+4(2 + 4)2
6+ 12 : 3 - (6 x 2)
12 -
(4+8) : 2
(6 + 1)2 – 2(3+6)
(8 + 9) – 10+ (2 + 3)?
Answer:
−72x2+18?
Step-by-step explanation:
This is for a Geometry-H class
Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees
How to Apply the Linear Angles Theorem?Based on the linear angles theorem, we have the following equation which we will use to find the value of y:
3y + 11 + 10y = 180
Add like terms
13y + 11 = 180
Subtract 11 from both sides
13y + 11 - 11 = 180 - 11
13y = 169
13y/13 = 169/13
y = 13
Plug in the value of y
3y + 11 = 3(13) + 11 = 50 degrees
10y = 10(13) = 130 degrees.
Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees.
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In 2019 the average full time worker in the us spent 8.5 hours working each workday. this is an increase on the average of 8.1 hours per workday in 2014. what percent change for 2014 to 2019 round to the nearest tenth of the percent
The percentage increase in the working hours will be 4.9%.
How to illustrate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Since in 2019 the average full time worker in the us spent 8.5 hours working each workday. this is an increase on the average of 8.1 hours per workday in 2014.
The percentage increase will be:
= (8.5 - 8.1) / 8.1 × 100
= 0.4 / 8.1 × 100
= 4.9%
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how to solve the following system y=(1/2)x^2+2x-1 and 3x-y=1
Answer:
(0,-1),(2,5)
Step-by-step explanation:
3x-y=1
0.5\(x^{2}\)+2x-1=y
Substitute the equation of y into the other equation
3x-(0.5\(x^{2}\)+2x-1)=1
3x-0.5\(x^{2}\)-2x+1=1
collect like terms
-0.5\(x^{2}\)+x=0
Solve for x
x(-0.5x+1)=0
0=-0.5x+1
-1=-0.5x
x=2 x=0
Back substitute into the other original equation and solve for y
3(2)-y=1
6-y=1
y=5
(2,5)
3(0)-y=1
-1(-y)=-1(1)
y=-1
(0,-1)
a chef-prepared five chocolate tortes for a dinner party. the guest consumed 2 and 5/16 horses how many tortoises are left
There amount still 3 11/16 tortes left after the dinner party, as the guests consumed 2 and 5/16 of them. This means that the remaining tortes can be shared among the remaining guests.
To calculate how many tortes are left, we need to subtract the amount eaten from the original amount.
Original amount
5 tortes
Amount eaten:
2 and 5/16 tortes
Subtract 2 from 5 to get 3. Then subtract
1/16 from 3 to get 3 11/16 tortes.
Therefore, there are still
3 11/16 tortes left after the dinner party.
To calculate how many tortes are left, we need to subtract the amount eaten from the original amount. The original amount is 5 tortes, and the amount eaten is 2 and 5/16 tortes. To find the difference, we need to start by subtracting 2 from 5 to get 3. Then, we must subtract 1/16 from 3 to get 3 11/16 tortes. This means that there are still 3 11/16 tortes left after the dinner party. This can be shared among the remaining guests, ensuring that everyone gets a chance to enjoy the delicious chocolate tortes. The remaining tortes can also be saved for another occasion, so they don't go to waste.
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Amanda owns 9 T-shirts, 4 of which are white. If Amanda randomly selects a T-shirt to wear, what is the probability it will be white? Write your answer as a fraction or whole number.
P(white) =
Step-by-step explanation:
P(white)=4/9 is the probability