Answer:
A) 7.6 or 7 3/5
Does the following equation have one or no solution?
4 – (2x + 5) = 1/2(–4x – 2)
Answer:
4-(2x+5) = 1/2(-4x-2)
4-2x-5=-2x-1
-1-2x-=-2x-1
Infinite solution
Step-by-step explanation:
Branliest pls
What is the density of an object with a mass of 25 grams and volume of 37 cubic centimeters.
Answer:
25x37=925
Step-by-step explanation:
Here is the setup for a non-traditional casino game: You draw a card from a well shuffled full deck and if the card is a king you win $100. The game costs $2 to play and you decide to play the game until you win the $100. Each time you draw a card you pay $2, and if the card is not a king, the card is put back in the deck, and the deck is reshuffled. How much money should you expect to spend on this game?
The answer is $26 - I just don't know how this amount is derived. Please be specific with which statistical technique is used to determine this.
You should expect to spend $26 to win $100 playing this casino game.
This is a classic example of a geometric distribution, where each trial has two possible outcomes (win or lose) and the probability of winning remains constant at 1/13 (4 kings in a deck of 52 cards) across all trials.
The expected number of trials to win is 13, so the expected cost to win is 13 times the cost per trial, which is $2, giving an expected cost of $26. Note that this is the expected cost, not the guaranteed cost, and it is possible to spend more or less than $26 before winning.
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5√28+ √63
please simplify no exponents please
Answer:
34.3948
Step-by-step explanation:
\(5\sqrt{28} +\sqrt{63} = 13\sqrt{7} = 34.3948\)
Answer: 34.394767
Step-by-step explanation: 5 Times Square root of 28 is 26.4575131106
26.4575131106 plus 7.93725393319 is 34.394767
pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
Ashley and her sister decide to split the cost of dinner , which is $14 . How much will each sister pay?
Answer:
14÷2=7
7 is your answer. hope this helps
Ashley and her sister decide to split the cost of dinner , which is $14 . How much will each sister pay?
Answer:-$7
Explanation:-look at the attached picture :)
what is the ratio of 16 dogs and 12 cats
ratio of 16 dogs and 12 cats ↓
dogs : cats → 16 : 12
[ simplify both by 4 ]
→ \(\frac{16}{4}\) : \(\frac{12}{4}\)
→ 4 : 3
ratio of dogs : cats = 4 : 3
Solution:
To solve this question, we need to write the ratio in the form of:
(Number of dogs:Number of cats)Then, we need to simplify it to obtain the simplified ratio.
Writing the ratio:
(Number of dogs:Number of cats)=> (16:12)Simplifying the ratio:
(16:12 = 4 x 4:4 x 3)=> 4:3The ratio of 16 dogs and 12 cats is 4:3.
A. 5x=3x
b.5=3
How can we get Equation B from Equation A?
Answer:
A is x = 0
B is false
Step-by-step explanation:
because u have to solve x
and b is false
Solve 8y - 9 = -3y + 2
Answer:
y=1
Step-by-step explanation:
8y-9=-3y+2
-2
8y-11=-3y
-8y
-11=-11y/-11
Answer:
y=1
Step-by-step explanation:
8y+3y=2+9
11y/11=11/11
y=1
Ayuda porfa soy nuevo es pa mañana
The values of the fractions that are given will be:
c. 5 7/9
d. 3 / 14
e. 6 18/25
f. 3 88/91
g. 6 23/42
h. 88
i. 20 28/45
What is a fraction?A fraction simply means a part of a whole. It's important to note that a fraction is represented as m/n where m = numerator and n = denominator.
c. 8 / 3 × 13 / 6
= 104 / 18
= 52 / 9
= 5 7/9
d. 3 / 5 × 4 / 7 × 5 / 8
= 60 / 280
= 3 / 14
e. 3/2 × 7/5 × 3 1/5
= 3/2 × 7/5 × 16/5
= 336 / 50
= 168 / 25
= 6 18/25
f. 1 5/14 × 2 12/13
= 19/14 × 38/13
= 722 / 182
= 361 / 91
= 3 88/91
g. 3 4/7 × 1 5/6
= 25/7 × 11/6
= 275 / 42
= 6 23 / 42
h. 4 2/5 × 5 1/3 × 3 3/4
= 22/5 × 16/3 × 15/4
= 5280 / 60
= 264 / 3
= 88
I. 1 3/5 × 2 9/10 × 4 4/9
= 8/5 × 29/10 × 40/9
= 9280 / 450
= 928 / 45
= 20 28/45.
In the above scenario, it's important to note that the mixed fractions are changed into improper fractions on order to make the calculation easier. Also, there were reduction into the lowest terms of the values gotten.
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If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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HELP ME!! First to answer gets brainiest!!!
Answer:
11 1/5 minutes
Step-by-step explanation:
All you have to do is add up all the songs together.
3 1/2 = 3 30/60
2 57/60= 2 57/60
4 3/4 = 4 45/60
Add this all up
9 132/60
11 12/60
11 1/5
11 1/5 minutes
If this helps please mark as brainliest
True or false. All rational functions can be gained by transforming y = 1 / x.
Any graph of a rational function can be obtained from the reciprocal function f(x)=1x f ( x ) = 1 x by a combination of transformations including a translation, stretches and compressions.
3. describe the pattern of learning math concepts according to siegler.
According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.
According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.
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4x-5=3 what is the answer for this question
Answer:
x=2
Step-by-step explanation:
John is going to the store. His house is located 3 miles south and 4 miles east from the store, as shown below. What is the shortest distance from his house to the store? Explain
Answer:
5 miles
Step-by-step explanation:
It is a right triangle, with 3 miles down, and 4 miles to the right
the shortest distance would be and southeast line.
Using the Pythagorean theorem, you get:
3^2 + 4^2 = x^2
9 + 16 = x^2
25 = x^2
x = 5
What is the slope of the line?
someone please help me!!!! I'll make brainliest fast!!
Answer:
I think 1/2 or 4/4
Step-by-step explanation:
the line croses through the x,y axis
Answer:
Slope: 2/3
Step-by-step explanation:
A slope is rise over run. You first have to get two perfect points, which I got (1,2) and (4,4). The rise is how much does it goes up and the run it's how much it goes to the side. Since the line it's going up, it is positive. The rise is 2 and the run is 3.
adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen? (2012amc10a problem 23 or 2012amc12a problem 19)
Option A, For the aptitude puzzle, the number of ways each of people has the same number of internet friends is 60.
We want to count the number of ways that the 6 people can be internet friends with each other given that each person has the same number of internet friends and no one has an internet friend outside of the group.
Let k be the number of internet friends each person has. Since each person knows 5 other people in the group, we have 6k = 5 * 6, which means that k=5.
Thus, each person has 5 internet friends. We can choose these 5 friends in 5 to choose 5 times 4 choose 5 times 3 choose 5 times 2 choose 5 times 1 choose 5 = 1 × 0 × 0 × 0 × 0 = 0 ways since we can't choose 5 friends from fewer than 5 people.
Therefore, the answer is (A) 60.
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The question is -
Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts. Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. Each of them has the same number of internet friends. In how many different ways can this happen?
a. 60
b. 170
c. 290
d. 320
e. 660
Find the amount to which $200 will grow under each of these conditions: a. 4% compounded annually for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. 4% compounded semiannually for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ c.4% compounded quarterly for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ d. 4% compounded monthly for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ e. 4% compounded daily for 6 years. Assume 365-days in a year. Do not round intermediate calculations. Round your answer to the nearest cent. $ f. Why does the observed pattern of FVs occur?
To calculate the future value (FV) of $200 under different compounding periods, we can use the formula for compound interest:
FV = P(1 + r/n)^(nt)
where:
FV = Future Value
P = Principal amount (initial investment)
r = Annual interest rate (as a decimal)
n = Number of compounding periods per year
t = Number of years
Given:
P = $200
r = 4% = 0.04
t = 6 years
a. Compounded annually:
n = 1
FV = 200(1 + 0.04/1)^(1*6) = $200(1.04)^6 ≈ $251.63
b. Compounded semiannually:
n = 2
FV = 200(1 + 0.04/2)^(2*6) = $200(1.02)^12 ≈ $253.72
c. Compounded quarterly:
n = 4
FV = 200(1 + 0.04/4)^(4*6) = $200(1.01)^24 ≈ $254.92
d. Compounded monthly:
n = 12
FV = 200(1 + 0.04/12)^(12*6) = $200(1.0033)^72 ≈ $255.23
e. Compounded daily:
n = 365
FV = 200(1 + 0.04/365)^(365*6) = $200(1.0001096)^2190 ≈ $255.26
f. The observed pattern of future values (FVs) increasing with more frequent compounding is due to the effect of compounding interest more frequently. As the compounding periods increase (annually, semiannually, quarterly, monthly, daily), the interest is added to the principal more often, allowing for more significant growth over time. This compounding effect leads to slightly higher FVs as the compounding periods become more frequent.
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Use Excel to solve this: You want to buy a car for $50,000 and you can put $10,000 as a down payment and borrow the remaining $40,000. The bank will make a bank loan at a 9% per year over 3 years and monthly payments. What is the monthly payment?
In this case, the monthly payment for the car loan would be approximately $1,299.13.
To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.
Here's how to do it:
1. Open Excel and create a new spreadsheet.
2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).
3. In cell A2, enter the annual interest rate: 9%.
4. In cell A3, enter the loan duration in years: 3.
5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).
6. The result in cell A4 will be the monthly payment.
So, in this case, the monthly payment for the car loan would be approximately $1,299.13.
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Find the equation of the line that runs through the points (1, 2) and (4, -1).
Answer:
y+1 = -(x-4)
Step-by-step explanation:
find slope: (-1-2)/(4-1) = -1
y+1 = -(x-4)
7. A news website shows a scatter plot with a positive relationship between the number
of vending machines in a school and the percentage of students who are absent from
school on average. The headline reads, "Vending machines are causing our youth to
miss school!"
a. What is wrong with this claim?
b. What is a better headline for this information?
a. The claim that vending machines are causing students to miss school is not necessarily supported by the positive relationship observed in the scatter plot.
b. . A better headline might be "Positive correlation found between number of vending machines in schools and student absenteeism".
What is the percentage?Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
a. The claim that vending machines are causing students to miss school is not necessarily supported by the positive relationship observed in the scatter plot. Correlation does not equal causation, meaning that just because two variables are related, it doesn't necessarily mean that one causes the other. There could be other factors at play, and more research is needed to establish a causal relationship between vending machines and school absences.
b. A better headline might be "Positive correlation found between number of vending machines in schools and student absenteeism". This headline accurately reflects the relationship observed in the scatter plot without making any claims about causation
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suppose a drug is known to have mild side effects in 75% of the people who take it . it is administered to 100 people. using the binomial distribution, find the probability that more than 70 people will experience mild side effects
Let X be the number of people who experience mild side effects after taking the drug. X follows a binomial distribution with parameters n = 100 (the number of people taking the drug) and p = 0.75 (the probability of mild side effects).
To find the probability that more than 70 people will experience mild side effects, we need to calculate:
P(X > 70) = 1 - P(X ≤ 70)
Using the cumulative distribution function (CDF) of the binomial distribution, we can find:
P(X ≤ 70) = F(70) = ∑(i=0 to 70) [nCi * p^i * (1-p)^(n-i)]
where nCi is the binomial coefficient for choosing i items out of n.
We can use a software or calculator to calculate this sum, or use an approximation like the normal approximation to the binomial distribution.
Assuming normal approximation is appropriate, with mean μ = np = 75 and standard deviation σ = sqrt(np(1-p)) = 3.354, we can calculate the z-score:
z = (70.5 - μ) / σ = (70.5 - 75) / 3.354 = -1.33
Using a standard normal distribution table or a calculator with normal distribution functions, we can find the probability of z-score less than -1.33 is 0.0918, which is the probability of 70 or fewer people experiencing mild side effects.
Therefore, the probability of more than 70 people experiencing mild side effects is:
P(X > 70) = 1 - P(X ≤ 70) = 1 - 0.0918 = 0.9082
Using the binomial distribution, there is a probability of approximately 0.9082 that more than 70 people will experience mild side effects out of 100 people who take the drug.
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground
Answer:
a) The equation of the arch is \(y = -10\cdot x^{2}\).
b) The height of the arch from the ground is 810 feet.
Step-by-step explanation:
Statement is incomplete. Complete statement is:
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.
Write an equation that represents the arch.
What is the height from the top of the arch to the ground?
a) Write an equation that represents the arch.
According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:
\(y-k = 4\cdot p\cdot (x-h)^{2}\) (Eq. 1)
Where:
\(p\) - Distance between vertex and focus, measured in feet.
\(x\) - Independent variable, measured in feet.
\(y\) - Dependent variable, measured in feet.
\(h\), \(k\) - Coordinates of the vertex, measured in feet.
If we know that \(p = -2.5\,ft\), \(h = 0\,ft\) and \(k = 0\,ft\), then the equation that represents the arch:
\(y = -10\cdot x^{2}\)
The equation of the arch is \(y = -10\cdot x^{2}\).
b) What is the height from the top of the arch to the ground?
Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch (\(x = 9\,ft\)):
\(y_{min} = -10\cdot (9\,ft)^{2}\)
\(y_{min} = -810\,ft\)
Then, the height of the arch from the ground is given by this difference:
\(h = 0\,ft-(-810\,ft)\)
\(h = 810\,ft\)
The height of the arch from the ground is 810 feet.
jordan wants to create an equiangular octagon whose side lengths are exactly the first 8 positive integers, so that each side has a differetn length. how many such octagons can jordan create
There is only one equiangular octagon that Jordan can create with side lengths as the first 8 positive integers.
To create an equiangular octagon with side lengths as the first 8 positive integers, each side must have a different length. The sum of the interior angles of an octagon is 1080 degrees, so each angle in the octagon must measure 135 degrees.
If we arrange the 8 integers in decreasing order, we can label the longest side as a and the remaining sides as b1, b2, b3, b4, b5, b6, in descending order. Then, we must have:
a + b1 + b2 = a + b2 + b3 = a + b3 + b4 = a + b4 + b5 = a + b5 + b6 = a + b6 + b1 = 135 degrees
Simplify each equation, we get:
b1 - b3 = b2 - b4 = b3 - b5 = b4 - b6 = b5 - b1 = b6 - a
Since all the side lengths are different, we can use these equations to find all possible combinations of side lengths. By inspection, we can see that there is only one set of side lengths that satisfies these conditions, namely:
a = 8
b1 = 7
b2 = 6
b3 = 5
b4 = 4
b5 = 3
b6 = 2
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A company has made a rubber ball for $0.02 per square foot. the company wants to spend a maximum of $1 each on a new ball. what is the diameter of the new ball to the nearest tenth of a foot?
The diameter of a new ball is 4.0ft
According to the statement
we have given that the the company wants to spend a maximum of $1 each.
And we have to find a diameter of a new ball.
Remember that for a sphere of diameter D, the surface area is
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
here the diameter of a ball is 4.0ft.
So, The diameter of a new ball is 4.0ft
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Pleaseeeeeee. Helpppppppppppp meeeeeeeeeeee
Answer:
first tower needs 4
second needs 3
third needs 2
and the fourth needs 1
Total needed triangles for all is 10
Step-by-step explanation:
use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (assume the data set has a bell-shaped distribution.) question content area bottom part 1 approximately enter your response here% of vehicles travel between miles per hour and miles per hour.
The empirical rule can be used to estimate the percentage of vehicles that are traveling between certain speeds on a highway. This rule is a statistical method for determining the proportion of data that lies within a certain number of standard deviations from the mean.
For normally distributed data, the empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.
In this case, the mean speed of the sample of vehicles along the highway is miles per hour with a standard deviation of miles per hour. To estimate the percentage of vehicles whose speeds are between miles per hour and miles per hour, we need to determine how many standard deviations from the mean these speeds are.
First, we need to calculate the z-scores for the speeds of miles per hour and miles per hour.
The z-score for miles per hour is:
\(z = (x - μ) / σ = (55 - 60) / 5 = -1\)
The z-score for miles per hour is:
\(z = (x - μ) / σ = (65 - 60) / 5 = 1\)
These z-scores tell us how many standard deviations from the mean these speeds are. A z-score of -1 means that the speed of miles per hour is one standard deviation below the mean, while a z-score of 1 means that the speed of miles per hour is one standard deviation above the mean.
Since the data is bell-shaped and we are looking at speeds that are within two standard deviations from the mean, we can use the empirical rule to estimate the percentage of vehicles that are traveling between miles per hour and miles per hour.
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tina also worked out the total number of points scored by the 16 students in the game
The mistake in Tina's total of numbers is she written the product of 0 and 1 as 1 instead of 0.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, Tina also worked out the total number of points scored by the 16 students in the game.
(0×1)+(1×3)+(2×5)+(3×4)+(4×3)=0+3+10+12+12=37
Tina made a mistake in her working to find the total number of points scored, she written the product of 0 and 1 as 1.
Therefore, the mistake in Tina's total of numbers is she written the product of 0 and 1 as 1 instead of 0.
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Find dx
dy
using partial derivatives, given that x 2
−2xy+y 4
=4 Hint: Use the Implicit Function Theorem which uses partial derivatives to find dx
dy
.
The value of dx/dy using partial derivatives is given by (2x - 4y³)/(2x - 2y). Therefore, the correct answer is: dx/dy = (2x - 4y³)/(2x - 2y)."
Given x² - 2xy + y⁴ = 4.We need to find dx/dy using partial derivatives.
We use the implicit differentiation to find the partial derivative of x w.r.t y.
Using the chain rule we have: (dx/dy) = -(∂F/∂y)/(∂F/∂x)where
F(x,y) = x² - 2xy + y⁴ - 4.∂F/∂x
= 2x - 2y∂F/∂y = -2x + 4y³dx/dy
= -(-2x + 4y³)/(2x - 2y)dx/dy
= (2x - 4y³)/(2x - 2y)
Hence, the value of dx/dy using partial derivatives is given by (2x - 4y³)/(2x - 2y). Therefore, the correct answer is: dx/dy = (2x - 4y³)/(2x - 2y)."
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