Answer:
x=-5, you have to rearrange the x and 12 and then subtract 12 from both sides and you get the answer -5. x+12=7
Which statement is true?
Answer:
The 1st option
Step-by-step explanation:
Piper's orange probability is 4/20 and Kai's pink probability is 4/20, which makes option 1 correct
to find the probability use the equation below:
(the number of favorable outcomes)/(the total number of outcomes).
outcome/total
The formula below, Newton's law of cooling, allows us to calculate the temperature of an object as it cools.
T = R + (T0 − R)e-kt
T = temperature of the object after t minutes
T0 = initial temperature
R = temperature of the surroundings
k = cooling rate (depends on the object and conditions)
Suppose the temperature in Denver, Colorado was 55°F when a 5°F arctic cold front moved over the state. Using k = 0.012, how long would it take a puddle of water to freeze? (Recall that water freezes at 32°F.)
With the stated cooling rate of k = 0.012, it follows that the puddle of water would ice in the arctic cold front in roughly 97.8 minutes
Simply put, what is temperature?The oscillation of a substance's components is measured by its temperature. When something is hot, it indicates that its components move relatively quickly on average. Despite having a high temperature, a substance's heat capacity is very low because it has a small number of light elements.
We can use the Newton's law of cooling formula to solve this problem.
[tex]T = R + ( To - R ) \times e ^{(-kt )}[/tex]
Let's assume that the initial temperature of the water is 55°F and the temperature of the surroundings is 5°F (due to the arctic cold front).
We are looking for the time it takes for the water to cool down to 32°F (the freezing point of water).
Therefore, we have:
T = 32°F
T0 = 55°F
R = 5°F
k = 0.012
Substituting these values into the formula, we get:
[tex]32 = 5 + (55 - 5) \times e^{(-0.012t)}[/tex]
Simplifying the equation, we get:
[tex]27 = 50 \times e^{(-0.012t)}[/tex]
Dividing both sides by 50, we get:
[tex]0.54 = e^{(-0.012t)}[/tex]
Taking the natural logarithm of both sides, we get:
ln(0.54) = -0.012t
Solving for t, we get:
t = ln(0.54) / (-0.012)
t ≈ 97.8 minutes
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what is the square root of 40 in simplest radical form
Answer:
[tex]2\sqrt{10}[/tex]
Step-by-step explanation:
we can take 4 out of 40 and when you take it out it gets turned into a 2 so its 2 sqrt 10
Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6. 5% simple interest over the first 10 years
If you deposit $5,000 in a savings account and will earn 6. 5% simple interest over the first 10 years, then will earn $3,250 in interest over the 10-year period
Simple interest is a type of interest that is calculated only on the principal amount of an investment, and not on any interest that has been earned previously. It is typically expressed as a percentage of the principal amount and is applied over a fixed period of time.
To calculate the interest earned on the account over the 10-year period, we can use the formula for simple interest:
Interest = Principal x Rate x Time
Here, the principal is $5,000, the interest rate is 6.5%, and the time is 10 years.
Plugging in the values, we get:
Interest = $5,000 x 0.065 x 10
Interest = $3,250
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The given question is incomplete, the complete question is:
Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6.5% simple interest over the first 10 years. How much interest will the account earn over this period?
all real solutions for 8x^3-27x^2-50x+75x=0
To find all real solutions of the equation 8x²3 - 27x²2 - 50x + 75 = 0, we can factor it by grouping
How to do that?
8x²3 - 27x²2 - 50x + 75 = 0
=> (8x²3 - 50x) - (27x²2 - 75) = 0
=> 2x(4x²2 - 25) - 3(9x²2 - 25) = 0
=> (2x - 3)(4x²2 - 9x + 15) = 0
Using the quadratic formula to solve the quadratic factor, we get:
4x²2 - 9x + 15 = 0
=> x = [9 ± sqrt(81 - 4(4)(15))] / (2(4))
=> x = [9 ± sqrt(-191)] / 8
Since the discriminant of the quadratic factor is negative, it has no real roots, and therefore, the only real solution of the equation is:
x = (2x - 3) = 0
=> x = 3/2
Therefore, the only real solution of the equation 8x²3 - 27x²2 - 50x + 75 = 0 is x = 3/2.
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How to convert 116 lbs to kg?
The required converting value into kilograms of the given 116 pounds is equal to 52.62 kilograms ( round up to two decimals ) .
Converting factor used to convert pounds to kilograms is equal to:
1 pound = 0.453592 kilograms
Now to get the value of 116 pounds we have,
116 pounds = 116 × converting factor
Substitute the value of converting factor we have,
⇒ 116 pounds = 116 × 0.453592 kilograms
⇒ 116 pounds = 52.6167 kilograms
⇒ 116 pounds = 52.62 kilograms ( round up to two decimals )
Therefore, the converted values of the required 116 pounds is equal to 52.62 kilograms ( round up to two decimals ) .
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What is 20:00 in military time?
Answer:
20:00 is 8:00 pm
Step-by-step explanation:
an easy way to remember is subtract 2 from the military timing and the number in the ones value is the time.
Ex.
14:00
14 - 2= 12
So it’s 2: 00 pm
20- 2= 18
So it’s 8:00 pm
All working out is required, please. 25 points, should be relatively easy!
The value of angle BAC is 60°
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face.
Since the base of the pyramid is equal, the lateral lines joining the apex have equal length which will form equal triangle at both sides.
This means that if triangle BCD is equilateral, then, triangle ABC is also equilateral.
Therefore angle BAC = 180/3 = 60°
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In a class,5/8of the pupils are boys. If 15. Girls in that class how many boys are there
There are 25 boys in the class out of a total of 40 students. The fraction of students who are boys is 5/8 and the fraction of students who are girls is 3/8.
Let's start by using the information given in the problem to determine the fraction of students who are girls in the class:
Fraction of students who are girls = 1 - Fraction of students who are boys
Fraction of students who are girls = 1 - 5/8
Fraction of students who are girls = 3/8
Now we can use the fraction of girls to find the number of boys and girls in the class:
Let the total number of students in the class be x.
Number of boys = 5/8 * x
Number of girls = 3/8 * x
We know that there are 15 girls in the class, so we can set up an equation:
3/8 * x = 15
Solving for x:
x = 15 * 8/3
x = 40
So there are 40 students in the class. Now we can find the number of boys:
Number of boys = 5/8 * x
Number of boys = 5/8 * 40
Number of boys = 25
Therefore, there are 25 boys in the class.
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HELP ME WITH MY MATH ASAP
The sequence with a first term of 10 and a common difference of 4 is the one in the first option.
f(1) = 10
f(n) = f(n - 1) + 4
Which sequence has a first term equal to 10 and a common difference of 4?
For a general arithmetic sequence we define the first term and recursive formula as:
f(1) = a (this is the first term)
f(n) = f(n - 1) + d (d is the common difference)
So, a first term of 10 and a common difference of 4 would be written as:
f(1) = 10
f(n) = f(n - 1) + 4
Then the correct option is the first one.
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what is 1000 hours in days?
1000 hours in day can be converted in to by a formula dividing the the 1000 hours by 24 is 41.66 days.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
As 1 Hour is equal to 0.0416666666667 Days, you must multiply 1000 by 0.041666666666667 to convert hours to days. The outcome is as follows:
1000 hr × 0.041666666666667 = 41.667 d
1000 hr = 41.667 d
We come to the conclusion that one thousand thousand hours is equal to 41.7667 days:
41.667 days are equivalent to 1000 hours.
Hence, using the conversion method above, you can figure out how many days there are in 1000 hours.
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i need help with math i don't understand this
Answer:A
Step-by-step explanation:
they are alternate exterior angles so, x+y=180
it is assumed that approximately 15% of adults in the u.s. are left-handed. consider the probability that among 100 adults selected in the u.s., there are at least 30 who are left-handed. given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? why or why not?
Yes, since this 100 adults demonstrate just under 5% of the adult American population, the trials are considered independent.
We have n=100 and p=0.15 here.
np=100*0.15=15 ≥ 10,
nq=100*(1-0.15))=85 ≥ 10
The normality assumption can be used to approximate the binomial distribution.
Option A) is the correct answer.
The probability of seeing a specific value of such a continuous probability distribution is 0 percent.
Determine the prerequisites since a distinct distribution of probabilities.
The probability sum must equal one. So every probability should be between 0 and 1.
Describe how to determine the median of a separate random variable. To calculate the men of such a stochastic process, divide the total each value by it's own probability and afterwards add the results.
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How to calculate 19 divided by 20 using long division?
By using the long division method, the result of 19 divided by 20 is 0.95
Long division is a method of dividing two numbers using a step-by-step process of repeatedly dividing the dividend (the number being divided) by the divisor (the number you are dividing by), writing down the results of each step, and subtracting the remainder from the next dividend.
Here, 19 divided by 20
The picture shows the division process
To divide 19 by 20 using long division, you start by dividing 20 into the first digit of 19, which is 1. The result is 0 with a remainder of 1.
Then bring down the next digit, which is 9, and place it next to the remainder to make 19. You then divide 20 into 19, which gives you 0 with a remainder of 19.
Therefore, 19 divided by 20 is 0.95
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Paul has some cookies. 25 % of them are chocolate chip cookies. If Paul has 6 chocolate cookies , how many cookies does he have altogether?
If 25% of Paul's cookies are chocolate chip, then 75% of his cookies are not chocolate chip. Let's call the total number of cookies Paul has "x".
So, 25% of x is equal to 6:
0.25x = 6
To solve for x, we can divide both sides by 0.25:
x = 24
So Paul has 24 cookies altogether.
what is the decimal equivalent of 0xc9?
The decimal equivalent of 0xc9 is 201.
Hexadecimals:
Hexadecimal is a number system with a base of 16, in which we use 16 distinct symbols to represent numbers. The symbols used in hexadecimal are the digits from 0 to 9 and the letters from A to F.
Hexadecimal notations are commonly used in computer programming and digital electronics because they can represent binary data more compactly than binary notation.
Here we have
0xc9
By converting each symbol as a number we can calculate as follows
Here 0x represents hexadecimal
And the value of c is 12
0xc9 = (12 × 16¹) + (9 × 16⁰)
= 192 + 9 = 201
Therefore,
The decimal equivalent of 0xc9 is 201.
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Please solve as soon a possible, 3 ways. I'm giving all my points. Will mark yours #1
4. Find the number of right angle turned through by the hour hand of a clock when it goes from 3 to 6.
5. What fraction of a clockwise revolution does the hour hand of a clock turn through when it goes from 12 to 3?
Answer:
23
Step-by-step explanation:
The radius of a right circular cone is multiplied by a factor of . Assuming the height stays the same, by what factor does the volume of the right circular cone change?
The volume of a right circular cone is given by the formula V = (1/3)*pi*r²*h, where r is the radius, h is the height, and pi is the constant 3.14. When the radius is multiplied by a factor of x, the volume will be multiplied by a factor of x².
Therefore, when the radius is multiplied by a factor of x. The volume changes by x².
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When can a correlation coefficient based on an observational study be used to support a claim of cause and effect?a) Neverb) When the correlation coefficient is close to -1 or +1.c) When the correlation coefficient is equal to -1 or +1.d) When the scatterplot of the data has little vertical variation.
Option a) Never. A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect, regardless of its value or the characteristics of the scatterplot.
Correlation does not imply causation, which means that even if two variables are strongly correlated, it does not necessarily mean that one causes the other. There may be other variables or factors that are responsible for the observed correlation, and a causal relationship cannot be established from observational data alone. To establish causality, experimental studies are typically needed, where the potential cause is manipulated and the effect is measured.
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In a company's first year in operation, it made an annual profit of $140, 000.
The profit of the company increased at a constant 20% per year each year.
How much total profit would the company make over the course of its first 14
years of operation, to the nearest whole number?
Answer:
238000
Step-by-step explanation:
hope I did this right!!
Answer:
The total profit the company would make over the course of its first 14 years of operation is approximately $2,562,841.
Step-by-step explanation:
The profit of the company increased at a constant 20% per year. We can use the formula for the future value of an investment to calculate the profit for each year, where:
FV = PV x (1 + r)^n
FV is the future value of the investment
PV is the present value of the investment
r is the annual interest rate
n is the number of years
Using this formula, we can find the profit for each year:
Year 1: $140,000
Year 2: $168,000
Year 3: $201,600
Year 4: $241,920
Year 5: $290,304
Year 6: $348,364
Year 7: $418,037
Year 8: $501,644
Year 9: $601,972
Year 10: $722,367
Year 11: $866,840
Year 12: $1,040,208
Year 13: $1,248,250
Year 14: $1,497,900
To find the total profit over the course of the first 14 years, we can simply add up the profits for each year:
Total profit = $140,000 + $168,000 + $201,600 + $241,920 + $290,304 + $348,364 + $418,037 + $501,644 + $601,972 + $722,367 + $866,840 + $1,040,208 + $1,248,250 + $1,497,900
Total profit = $2,562,841 (rounded to the nearest whole number)
Figure 1 and figure 2 are right triangles.
two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 7 units long
What scale factor was used to produce Figure 2 from Figure 1?
7 over 3
3 over 7
7
3
The scale factor produced in Figure 2 from Figure 1 is 3 over 7.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Given, Two right triangles Δ₁ and Δ₂, where the legs of Δ₂ is 7 units long and the legs of Δ₁ is 3 units long.
Therefore, The scale factor produces in Figure 2 from Figure 1 is Δ₂/Δ₁,
= 3/7.
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16. What is the greatest weight of a baby walrus in ounces (hint 100-160 Ib) pls help me
Based on the information provided, the greatest weight of a baby walrus in ounces is 2560 ounces.
How much does a baby walrus weigh?According to the information provided, the weight of a baby walrus is between 100 and 160 pounds, which means 160 is the maximum weight for these animals.
Now, let's convert the pounds to ounces to know the maximum weight in ounces. For this, let´s consider that 1 pound = 16 ounces.
160 x 16 = 2560 ounces
Based on this, it can be concluded that the maximum weight is 2560 ounces.
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in a recent baseball season, ron was hit by pitches 22 times in 615 plate appearances during the regular season. assume that the probability that ron gets hit by a pitch is the same in the playoffs as it is during the regular season. what is the probability that ron gets his first hit-by-pitch of the playoffs in his first 15 plate appearances? use a ti-83, ti-83 plus, or ti-84 calculator to find the probability. round your answer to three decimal places.
The probability that Ron gets his first hit-by-pitch of the playoffs in his first 15 plate appearances is 52.34%
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that, in a recent baseball season, Ron was hit by pitches 22 times in 615 plate appearances during the regular season.
We need to find the probability that Ron gets his first hit-by-pitch of the playoffs in his first 15 plate appearances.
The random variable X= number of times Ron is hits by pitches in 22 plate appearances follows, a binomial distribution.
P(X=x) = n! / (x!(n-x)!)pˣ(1-p)ˣ
where,
n = plate appearances = 22
p = probability of being hit by pitches = 15 / 615 = 3 / 123 = 1/41
x = number of successes = 1
Substitute the values :-
P(X=1) = 22! / (22-1)! × (1/41)(40/41)
= 0.5234
= 52.34%
Hence, the probability that Ron gets his first hit-by-pitch of the playoffs in his first 15 plate appearances is 52.34%
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which fration is greater than 3\4
Answer: There are infinitely many fractions that are greater than 3/4. Any fraction whose numerator is greater than three and whose denominator is greater than four will be greater than 3/4. Here are a few examples:
4/5 is greater than 3/4
5/6 is greater than 3/4
6/8 (which simplifies to 3/4) is not greater than 3/4, but any fraction greater than 6/8 will be greater than 3/4. For example, 7/8, 8/9, 9/10, and so on.
In general, to determine whether a fraction is greater than 3/4, you can compare its numerator and denominator. If the numerator is greater than the denominator times 3/4 (which is the same as multiplying the denominator by 3/4 and comparing it to the numerator), then the fraction is greater than 3/4.
Step-by-step explanation:
A number z divided by 2 is at least -6.
Answer:
z ÷ 2 = ≥ -6
Step-by-step explanation:
The expression to represent this problem is:
z ÷ 2 = ≥ -6
Please check my answers and give explanation of why it is wrong if it is wrong 20 points!
The solution is, the correct option is, A.) tan 37 = x/12.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
now, from the given figure we get,
tan 37 = x/12
Hence, The solution is, the correct option is, A.) tan 37 = x/12.
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What is an ordered pair that satisfies all the equations in a system called?
Answer:
It is called a solution.
What is the conversion of 60 pounds to dollars?
60 pounds when converted to dollars is 81.97 US dollars.
Countries like the United Kingdom, the South Sandwich Islands, the British Overseas Territories of South Georgia, and the British Antarctic Territory all use pounds as their official currency. Penny sterling, which is one-tenth of a pound, is the name for the lesser units that make up the pound.
The conversion rate of pounds to dollars can vary depending on the current exchange rate. However, as of February 20, 2023, the conversion of 60 pounds to dollars would be:
1 pound = 1.37 US dollars
Hence,
60 pounds = 60*1.37 dollars
= 81.97 dollars
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The following system of equations is designed to determine concentrations (the c's in g/m³) in a series of coupled reactors as a function of the amount of mass input to each rector (right hand sides in g/day): 10c2c₂cy -3c-6c₂+2c3=-61.5 C₂+503
Solve this problem with the Jacobi's iterative method to 5%.
The solution for the system of equations is Ax = b as the matrix is invertible (or non-singular) if and only if its determinant is not zero.
To solve a system of equations, we can use matrix algebra. We can write the system of equations in matrix form as follows:
Ax = b
where A is the matrix of coefficients, x is the vector of unknowns (the concentrations), and b is the vector of right-hand sides (the mass inputs).
To solve for x, we can multiply both sides by the inverse of A:
x = [tex]A^{-1}b[/tex]
where [tex]A^{-1}[/tex] is the inverse of A.
However, not all matrices have inverses. A matrix is invertible (or non-singular) if and only if its determinant is not zero. So, before we can solve for x, we need to check if A is invertible by calculating its determinant.
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