Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Note that PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is the order of operation.
Also note, that you are solving for x, in all instances.
1) x + c = d
Note the equal sign, subtract c from both sides:
x + c (-c) = d (-c)
x = d - c
2) x - p = g
Note the equal sign, add p to both sides:
x - p (+p) = g (+p)
x = g + p
3) FX = S
Note the equal sign, divide F from both sides:
(FX)/F = (S)/F
X = S/F
4) 3x - q = p
Note the equal sign, first, add q to both sides:
3x - q (+q) = p (+q)
3x = p + q
Next, divide 3 from both sides. Note that when you divide 3 from the right side, you are dividing from all terms:
(3x)/3 = (p + q)/3
x = (p + q)/3
5) cx - d = 4
Note the equal sign, first, add d to both sides:
cx - d (+d) = 4 (+d)
cx = 4 + d
Next, divide c from both sides.
(cx)/c = (4 + d)/c
x = (d + 4)/c
6) FX - S = M
Isolate the variable, x. First, add S to both sides:
FX - S (+S) = M (+S)
FX = M + S
Next, divide F from both sides:
(FX)/F = (M + S)/F
X = (M + S)/F
~
Pls help asap <3 This is very confusing to me
Answer:Yes, alternate interior angles converse
What is the x-intercept of the graph?
Answer: (6,0)
Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.
So we have 2x - 3(0) = 12.
Simplifying from here, we have 2x = 12.
Now divide both sides by 2 and we get x = 6.
So our x-intercept is 6.
This means that our line crosses the x-axis 6
units to the right of the origin or at the point (6,0).
Answer:
(6,0)
Step-by-step explanation:
The x intercept is where the graph crosses the x axis
A random variable X counts the number of successes in 20 independent trials. The probability that any one trial is unsuccessful is 0.42. What is the probability of exactly eight successful trials
Answer:
[tex] P(X=8)[/tex]
And using the probability mass function we got:
[tex]P(X=8)=(20C8)(0.58)^8 (1-0.58)^{20-8}=0.0486[/tex]
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
[tex]X \sim Binom(n=20, p=1-0.42=0.58)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find this probability:
[tex] P(X=8)[/tex]
And using the probability mass function we got:
[tex]P(X=8)=(20C8)(0.58)^8 (1-0.58)^{20-8}=0.0486[/tex]
The probability of exactly eight successful trials is 0.0486 and this can be determined by using the formula of the probability mass function.
Given :
A random variable X counts the number of successes in 20 independent trials.The probability that any one trial is unsuccessful is 0.42.According to the binomial distribution, the probability mass function is given by:
[tex]\rm P(X) = \; (^nC_x )(p^x)(1-p)^{n-x}[/tex]
where the value of n is 20 and the value of (p = 1 - 0.42 = 0.58).
Now, substitute the values of known terms in the above expression of probability mass function.
[tex]\rm P(X=8) = \; (^{20}C_8 )((0.58)^8)(1-0.58)^{20-8}[/tex]
Simplify the above expression in order to determine the probability of exactly eight successful trials.
P(X = 8) = 0.0486
For more information, refer to the link given below:
https://brainly.com/question/23017717
Which statement describes the system of equations?
X+ 2y = 2
x-2y=-2
It has infinitely many solutions.
It has no solution.
It has one solution (0, 1).
It has one solution (4, -1).
Answer:
It has one solution (0, 1).
Step-by-step explanation:
Easiest and fastest way to solve the systems of equation is to graph them on a graphing calc and analyzing where the 2 graphs intersect (if they are not parallel).
A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home order than before it. The mean for number of games started per minute before the stay at home order was 1000. The researchers hypothesize that after the stay at home order, the online platform was accessed more so than before the stay at home order. They set alpha = .05 The mean for number of games started per minute after the stay at home order, was 1378 with a standard deviation of 489. The sample size was 108,000.
a. Given this conclusion, what can you say about the p value of this test statistic?
b. Please calculate the effect size. Is it small, medium, or large?
Answer:
a) The P-value is 0.
At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.
b) Effect size d = 0.77
Medium.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the online platform was accessed significantly more so than before the stay at home order.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=1000\\\\H_a:\mu> 1000[/tex]
The significance level is 0.05.
The sample has a size n=108000.
The sample mean is M=1378.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.
The estimated standard error of the mean is computed using the formula:
s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488
Then, we can calculate the t-statistic as:
t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036
The degrees of freedom for this sample size are:
[tex]df=n-1=108000-1=107999[/tex]
This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t>254.036)=0[/tex]
As the P-value (0) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.
The effect size can be estimated with the Cohen's d.
This can be calculated as:
[tex]d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77[/tex]
The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.
What are the divisors of 60?
Answer:
Step-by-step explanation:
The divisors of a number are the numbers that divide it exactly.
60/2
2/30
3/3
5/5
one
divisors = 1,2,3,, 4,5,6,10,12,15,20,30,60.
answer:
1, 2, 3, 6, 10, 30, 60
Step-by-step explanation:
i am pretty sure!
A- y=-2x-4
B- y=2x+4
C- y=-2x+4
D- y= 2x-4
Answer:
A. y=-2x-4
Step-by-step explanation:
The slope is negative when the line is going down from up.
Options B and D are wrong.
The y-intercept is (0, -4) as shown in the graph.
Option C is wrong.
y = mx + b
y = -2x - 4
Determine f-1(0). Hurry.
Answer:
since f(0) is -4 , f^-1(0) will be the multiplicative inverse of f(0)
hence, the answer is 1/-4
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Inverse of a function.
so hére after solving here we get as,
==> f^-1(0) = 1
A submarine is searching for underwater features with help from an underwater robotic vehicle. At one time the submarine is 55m below the surface, and the underwater robotic vehicle is 227m below the surface. What is the distance between the underwater robotic vehicle and the submarine?
Answer:
172m
Step-by-step explanation:
From the question above we are told:
The distance of the submarine below the surface = 55m
The distance of the underwater robotic vehicle below the surface = 227m
The distance between the underwater robotic vehicle and the submarine is calculated as:
The distance of the underwater robotic vehicle below the surface - The distance of the submarine below the surface
= 227m - 55m
= 172m
Therefore, the distance between the underwater robotic vehicle and the submarine is 172m
Prove the identity cos x/1 - sin x = sec x + tan x
Answer:
Proved
Step-by-step explanation:
Given
Prove that
[tex]\frac{cos x}{1 - sin x} = sec x + tan x[/tex]
[tex]\frac{cos x}{1 - sin x}[/tex]
Multiply the numerator and denominator by 1 + sinx
[tex]\frac{cos x}{1 - sin x} * \frac{1 + sin x}{1 + sin x}[/tex]
Combine both fractions to form 1
[tex]\frac{cos x (1 + sin x)}{(1 - sin x)(1 + sin x)}[/tex]
Expand the denominator using difference of two squares;
[tex]i.e.\ (a - b)(a + b) = a^2 - b^2[/tex]
The expression becomes
[tex]\frac{cos x (1 + sin x)}{(1^2 - sin^2 x)}[/tex]
[tex]\frac{cos x (1 + sin x)}{(1 - sin^2 x)}[/tex]
From trigonometry; [tex]1 - sin^2x = cos^2x[/tex]
The expression becomes
[tex]\frac{cos x (1 + sin x)}{(cos^2 x)}[/tex]
Divide the numerator and the denominator by cos x
[tex]\frac{(1 + sin x)}{(cos x)}[/tex]
Split fraction
[tex]\frac{1}{cos x} + \frac{sin x}{cos x}[/tex]
From trigonometry; [tex]\frac{1}{cos x} = sec x \ and\ \frac{sin\ x}{cos\ x} = tan\ x[/tex]
So;
[tex]\frac{1}{cos x} + \frac{sin x}{cos x}[/tex] = [tex]sec x + tan x[/tex]
find the Pythagorean triplet in which one number is 32
Answer:
What is the Pythagorean triplet of 32?
But 32/2 = 16 which is even so:
But 32/4 = 8 which is even so:
But 32/8 = 4 which is even so:
Answer:
Answer in explanation below.
Step-by-step explanation:
32² => 1024 => 1024/4 => 256 => 256 + 1 = 257, 256 - 1 = 255: 32, 255, 257
16² => 256 => 256/4 => 64 => 64 + 1 = 65, 64 - 1 = 63: 2 x ( 16, 63, 65) = 32, 126, 130
8² => 64 => 64/4 => 16 => 16 + 1 = 17, 16 - 1 = 15: 4 x ( 8, 15, 17) = 32, 60, 68
4² => 16 => 16/4 => 4 => 4 + 1 = 5, 4 - 1 = 3: 8 x ( 4, 3, 5) = 32, 24, 40
Solve the system by graphing (Simplify your answer completely.)
Will someone please help me with this and give an explanation on how you got it? I don’t understand.
{x+y=8
{x-y=4
Answer:
(6,2)
Step-by-step explanation:
1) convert both equations to slope intercept form:
y=-x+8
and
y=x-4
now graph both equations separately by intercepts:
x int: 0=-x+8
-8=-x
8=x
y int: y=0+8
y=8
so the two coordinate points for first equation are (0,8) and (8,0)
lets move on two second equation: y=x-4
x int: 0=x-4
4=x
y int y=0-4
y=-4
so the 2 coordinate points are (4,0) and (0,4)
lets graph these two equations and see where they intersect:
(see graph below), the intersection is at (6,2) so (6,2) is our answer
hope this helps
7.1 A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then she wins one-half of the value that appears on the die. Determine her expected winnings.
Answer:
1.875
Step-by-step explanation:
To find the expected winnings, we need to find the probability of all cases possible, multiply each case by the value of the case, and sum all these products.
In the die, we have 6 possible values, each one with a probability of 1/6, and the value of each output is half the value in the die, so we have:
[tex]E_1 = \frac{1}{6}\frac{1}{2} + \frac{1}{6}\frac{2}{2} +\frac{1}{6}\frac{3}{2} +\frac{1}{6}\frac{4}{2} +\frac{1}{6}\frac{5}{2} +\frac{1}{6}\frac{6}{2}[/tex]
[tex]E_1 = \frac{1}{12}(1+2+3+4+5+6)[/tex]
[tex]E_1 = \frac{21}{12} = \frac{7}{4}[/tex]
Now, analyzing the coin, we have heads or tails, each one with 1/2 probability. The value of the heads is 2 wins, and the value of the tails is the expected value of the die we calculated above, so we have:
[tex]E_2 = \frac{1}{2}2 + \frac{1}{2}E_1[/tex]
[tex]E_2 = 1 + \frac{1}{2}\frac{7}{4}[/tex]
[tex]E_2 = 1 + \frac{7}{8}[/tex]
[tex]E_2 = \frac{15}{8} = 1.875[/tex]
. Please answer this correctly
Answer:
In both cases, the spider has already crawled up 3 feet. In order for the answer to be 0 the spider must crawl down 3 feet because 3 - 3 = 0, therefore the answer is the first story.
Answer:
Question 1
Step-by-step explanation:
1) The spider is 3 feet above the patio : +3
Now, due to strong wind, it crawls down 3 feet: -3
+ 3 - 3 = 0
Precalc experts! I need your help!
Answer:
[tex]f(x)\to 1[/tex]
Step-by-step explanation:
The function approaches its horizontal asymptote in both directions as the magnitude of x gets large. The limit is y = 1.
A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 33% of the cameras sold have been of the basic model. Of those buying the basic model, 48% purchase an extended warranty, whereas 48% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model
Answer:
33% probability that he or she has a basic model
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has an extended warranty
Event B: Basic model
Probability of an extended warranty:
48% of 33%(basic model)
48% of 100 - 33 = 67%(deluxe model).
So
[tex]P(A) = 0.48*0.33 + 0.48*0.67 = 0.48[/tex]
Intersection:
48% of 33%(basic model with extended warranty).
So
[tex]P(A \cap B) = 0.48*0.33 = 0.1584[/tex]
How likely is it that he or she has a basic model
[tex]P(B|A) = \frac{0.1584}{0.48} = 0.33[/tex]
33% probability that he or she has a basic model
What is the value of 45-0.023
The value is 44.977
Feel pleasure to help u
Answer:
44.977
Step-by-step explanation:
Solve the following system of equations. Express your answer as an ordered
pair in the format (a,b), with no spaces between the numbers or symbols.
2x+7y=-7
-4x-3y=-19
Answer:
(7, -3)
Step-by-step explanation:
Isolate x for 2x +7y = -7:
x = (-7 - 7y)/2
Substitute:
-4((-7 - 7y) / 2) - 3y = -19
Solve for y:
-2(-7y - 7) - 3y =
14y + 14 - 3y =
11y + 14 = -19
11y = -33
y = -3
Substitute -3:
x = (-7 - 7(-3))/2
= 14/2
x = 7
Answer:
(7,-3)
Step-by-step explanation:
what is the difference of rational expressions below 6x/x-3 - 5/x
Answer:
[tex]$ \frac{6x^2-5x+15 }{x^2-3x} $[/tex]
Step-by-step explanation:
[tex]$\frac{6x}{x-3} -\frac{5}{x} $[/tex]
[tex]$\frac{6x(x)}{x(x-3)} -\frac{5(x-3)}{x(x-3)} $[/tex]
[tex]$\frac{6x^2}{x^2-3x} -\frac{5x-15}{x^2-3x} $[/tex]
[tex]$ \frac{6x^2-5x+15 }{x^2-3x} $[/tex]
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Compute and interpret the mean of the random variable X.
The table of the probability is missing, so i have attached it.
Answer:
μ = 0.919
The interpretation of this is that;on the average, an individual aged 15 years or older has been involved in 0.919 marriages.
Step-by-step explanation:
The expected value which is also called mean value is denoted by the symbol μ. It is defined as the sum of the product of each possibility x with it's probability P(x) as the formula;
μ = Σx.P(x) = (0 × 0.272) + (1 × 0.575) + (2 × 0.121) + (3 × 0.027) + (4 × 0.004) + (5 × 0.001)
μ = 0.919
Thus, the interpretation of this is that;on the average, an individual aged 15 years or older has been involved in 0.919 marriages.
The interpretation of the mean of the random variable X is 0.919.
Calculation of the mean:
Here the interpretation should represent the average and it should be individual aged 15 years or more so it should be involved in 0.919 marriage.
Now the mean is
μ = Σx.P(x) = (0 × 0.272) + (1 × 0.575) + (2 × 0.121) + (3 × 0.027) + (4 × 0.004) + (5 × 0.001)
μ = 0.919
Hence, The interpretation of the mean of the random variable X is 0.919.
Learn more about mean here: https://brainly.com/question/20875379
g On a certain daily flight, Air Northeast has a policy of booking as many as 22 people on an airplane that can seat only 19. Past studies have revealed that only 89% of the booked passengers actually arrive for the flight. If the airline books 22 people on a flight, find the probability that there will not be enough seats available for all booked passengers. Show sufficient work to justify answer
Answer:
55.82% probability that there will not be enough seats available for all booked passengers.
Step-by-step explanation:
For each booked passenger, there are only two possible outcomes. Either they arrive for the flight, or they do not arrive. The probability of a booked passenger arriving is independent of other booked passengers. So we used the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The airline books 22 people on a flight
This means that [tex]n = 22[/tex]
Past studies have revealed that only 89% of the booked passengers actually arrive for the flight.
This means that [tex]p = 0.89[/tex]
Find the probability that there will not be enough seats available for all booked passengers.
The airplane seats 19, so this is the probability of more than 19 passengers arriving.
[tex]P(X > 19) = P(X = 20) + P(X = 21) + P(X = 22)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 20) = C_{22,20}.(0.89)^{20}.(0.11)^{2} = 0.2718[/tex]
[tex]P(X = 21) = C_{22,21}.(0.89)^{21}.(0.11)^{1} = 0.2094[/tex]
[tex]P(X = 22) = C_{22,22}.(0.89)^{22}.(0.11)^{0} = 0.0770[/tex]
[tex]P(X > 19) = P(X = 20) + P(X = 21) + P(X = 22) = 0.2718 + 0.2094 + 0.0770 = 0.5582[/tex]
55.82% probability that there will not be enough seats available for all booked passengers.
johnathan needs 70 liters of a 50% alcohol solution. he has a 30% solution and an 80% solution available. How many liters of the 30% solution and hjow many liter of the 80% solution should he mix to make the 50% solution?
Answer:
28 l of 80%
42 l of 30%
Step-by-step explanation:
Target is 70 l of 50% solution
It will contain 70*0.5= 35 l of alcohol
x l of 80% solution and y l of 30% solution mixed to get the target solution
x+y=70 is the equation for total volume, and
0.8x+0.3y= 35 is the equation for the alcohol content. Solving this:
y= 70-x0.8x+0.3*(70-x) = 350.8x+21- 0.3x= 350.5x= 35-210.5 x= 14x= 14/0.5x=28 l of 80% solutionthen
y= 70-x= 70 -28 l= 42 l of 30% solutionThe point (3, 6) is on the graph of y= 5f(2(x+3))-4 . Find the original point on the graph of y=f(x).
Answer:
(12, 2) is the original point on the graph of [tex]y=f(x)[/tex].
Step-by-step explanation:
Given:
[tex]y= 5f(2(x+3))-4[/tex] has a point (3, 6) on its graph.
To find:
Original point on graph [tex]y=f(x)[/tex] = ?.
Solution:
We are given that The point (3, 6) is on the graph of [tex]y= 5f(2(x+3))-4[/tex]
If we put x = 3 and y = 6 in [tex]y= 5f(2(x+3))-4[/tex], it will satisfy the equation.
Let us the put the values and observe:
[tex]6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)[/tex]
Now, let us compare the above with the following:
[tex]y=f(x)[/tex]
we get y = 2 and x = 12
So, the original point on graph of [tex]y=f(x)[/tex] is (12, 2).
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 51 53 48 62 34 34 51 53 48 30 62 51 46 (a) Find the sample mean and sample standard deviation. (b) Each employee in the sample is given a $5000 raise. Find the sample mean and sample standard deviation for the revised data set. (c) Each employee in the sample takes a pay cut of $2000 from their original salary. Find the sample mean and the sample standard deviation for the revised data set. (d) What can you conclude from the results of (a), (b), and (c)?
Answer:
Mean increase or decrease (same quantity) according to the quantity of the increment or reduction
As all elements were equally affected the standard deviation will remain the same
Step-by-step explanation:
For the original set of salaries: ( In thousands of $ )
51, 53, 48, 62, 34, 34, 51, 53, 48, 30, 62, 51, 46
Mean = μ₀ = 47,92
Standard deviation = σ = 9,56
If we raise all salaries in the same amount ( 5 000 $ ), the nw set becomes
56,58,53,67,39,39,56,58,53,35,67,56,51
Mean = μ₀´ = 52,92
Standard deviation = σ´ = 9,56
And if we reduce salaries in the same quantity ( 2000 $ ) the set is
49,51,46,60,32,32,49,51,46,28,60,49,44
Mean μ₀´´ = 45,92
Standard deviation σ´´ = 9,56
What we observe
1.-The uniform increase of salaries, increase the mean in the same amount
2.-The uniform reduction of salaries, reduce the mean in the same quantity
3.-The standard deviation in all the sets remains the same.
We can describe the situation as a translation of the set along x-axis (salaries). If we normalized the three curves we will get a taller curve (in the first case) and a smaller one in the second, but the data spread around the mean will be the same
Any uniform change in the data will directly affect the mean value
Uniform changes in values in data set will keep standard deviation constant
QUESTION 2
Find Percent Increase:
The original price for a product is $53.93 and the sale's tax rate is 29%. Find the amount of tax and the total selling price. Round to the nearest cent.
A $15.64 and $69.57
B. $38.29 and 592.22
C. $15.64 and $38.29
D. $16.78 and $70.21
QUESTION 3
Find Future Value Using Simple Interest Formula:
Chad got a student loan for $10,000 at 8% annual simple interest. How much does he owe after two years?
A $12,800
B. $10,800
C. $11,600
D. $11,664
Answer:
QUESTION 2 -> Correct option: A.
QUESTION 3 -> Correct option: C.
Step-by-step explanation:
QUESTION 2
To find the amount of tax we just need to multiply the tax rate by the original price of the product:
[tex]Tax = 29\% * 53.93[/tex]
[tex]Tax = 0.29 * 53.93[/tex]
[tex]Tax =\$15.64[/tex]
Then, to find the total selling price, we need to sum the original price to the tax value:
[tex]Total = tax + price[/tex]
[tex]Total = 15.64 + 53.93[/tex]
[tex]Total = \$69.57[/tex]
Correct option: A.
QUESTION 3
To find the final value after 2 years, we can use the formula:
[tex]P = Po * (1 + r*t)[/tex]
Where P is the final value, Po is the inicial value, r is the interest and t is the amount of time. Then, we have that:
[tex]P = 10000 * (1 + 0.08 * 2)[/tex]
[tex]P = \$11600[/tex]
Correct option: C.
4 builders are building some new classrooms at Trinity. It takes them 5 months to build the classrooms. How long will it take 10 builders?
Answer:
it takes
[tex]\boxed {\red {2 \: \: months}}[/tex]
for 10 builders
Step-by-step explanation:
[tex]4 \: \: \: builders = 5 \: month \\ 10 \: builders = x[/tex]
Let us solve
[tex]4 = 5 \\ 10 = x[/tex]
so
[tex]4 = x \\ 10 = 5[/tex]
use cross multiplication
[tex]5 \times 4 = 10 \times x \\ 20 = 10x \\ \frac{20}{10} = \frac{10x}{10} \\ \green {x = 2}[/tex]
Answer:
[tex]\boxed{2months}[/tex]
Step-by-step explanation:
B1 = 4
M1 = 5
B2 = 10
M2 = x (we have to find this)
Since it is an inverse proportion (more builders will take less time and vive versa), we'll write it in the order of
=> B1 : B2 = M2 : M1
=> 4:10 = x : 5
Product of Means = Product of Extremes
=> 10*x = 4*5
=> 10x = 20
Dividing both sides by 10
=> x = 2 months
So, it will take 2 months to build classrooms by 10 builders.
solve the right triangle abc for the missing side and angles to the nearest tenth given sides a=13.2 and b=17.7
Step-by-step explanation:
Assuming c is the hypotenuse:
c = √(a² + b²)
c = 22.1
tan A = a/b
A = 36.7°
tan B = b/a
B = 53.3°
Would you need to use the chain rule to find the derivative of this function?
Answer:
TRUE. We need to use the chain rule to find the derivative of the given function.
Step-by-step explanation:
Chain rule to find the derivative,
We have to find the derivative of F(x)
If F(x) = f[g(x)]
Then F'(x) = f'[g(x)].g'(x)
Given function is,
y = [tex]\sqrt{2x+3}[/tex]
Here g(x) = (2x + 3)
and f[g(x)] = [tex]\sqrt{2x+3}[/tex]
[tex]\frac{dy}{dx}=\frac{d}{dx}(\sqrt{2x+3}).\frac{d}{dx} (2x+3)[/tex]
y' = [tex]\frac{1}{2}(2x+3)^{(1-\frac{1}{2})}.(2)[/tex]
= [tex](2x+3)^{-\frac{1}{2}}[/tex]
y' = [tex]\frac{1}{\sqrt{2x+3}}[/tex]
Therefore, it's true that we need to use the chain rule to find the derivative of the given function.
The assets of Big Baller Brand consists entirely of current assets and net plant equipment. The firm has total assets of $3.5 million and the net plant equipment equals $2.75 million. It has notes payable of $350,000, long term debt of $825,000 and total common equity of $2 million. The firm does have accounts payable and accruals on its balance sheet. The firm only finances with debt and common equity, so it has no preferred stock on its balance sheet. a. What is the company's total debt? b. What is the amount of the liabilities and equity that appear on the firm's balance sheet? c. What is the balance of current assets on the firm's balance sheet? d. What is the balance of the current liabilities on the firm's balance sheet? e. What is the firm's net working capital? f. What is the firm's operating working capital? g. What is the amount of accounts payable and accruals on its balance sheet?
Answer:
a. $825,000
b. $1,175,000
c. $750,000
d. $350,000
e. $3,150,000
f. $2,675,000
g. Accounts payable and accruals
Step-by-step explanation:
a. Total debt is long term debt $825,000
b. The amount of liability apearing on balance sheet is $1,175,000 ($825,000 + $350,000)
The amount of equity appearing in balance sheet is $2,000,000
c. Current Assets balance on the balance sheet is $750,000 ($3.5m - $2.75m)
the difference of total assets and net plant equipment.
d. Current liabilities to be reported on the balance sheet is $350,000 and the amount of accounts payable and other payable.
e. Net working capital is calculated by taking total assets and then deducting current liabilities from it. $3,150,000 ($3500,000 - $350,000)
f. Operating working capital is calculated by subtracting total liablities from total assets. $2,675,000 ($3,500,000 - $825,000)
g. The amount of accounts payable and accruals is not provided in the question the amount will be reported in the balance sheet.
Albert is growing tomato plants and studying their heights. He measured Plant A at 3 7/8 feet. He measure Plant B at 2 1/4 feet. He said that Plant B is 1 6/4 feet smaller than Plant A. Is Albert correct? Why or Why not?
Answer: Albert is wrong
Step-by-step explanation:
You first have to subtract Plant B's measurement from Plant A's measurement.
3 7/8-2 1/4 => 3 7/8-2 2/8
If you solve it you get 1 5/8. Since it cannot be reduced this is the final answer.