Answer:
58º
Step-by-step explanation:
Answer:
58 degrees
Step-by-step explanation:
x and 32 are complementary, which means they must add to 90 degrees.
x+32=90
Now, we have to solve for x. To do this, we need to get x by itself. 32 is being added on to x. To reverse this, subtract 32 from both sides, because subtraction is the opposite of division.
x+32-32=90-32
x=90-32
x=58
x is 58 degrees
calculate the molecular weight of a gas with a density of 1.524 g/l at stp.
To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.
Rearranging the equation, we get n = PV/RT.
Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.
Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.
To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:
1. Recall the ideal gas equation: PV = nRT
2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).
3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):
n/V = (1.524 g/L) / (22.4 L/mol)
4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):
M = (n/V) * (RT/P)
5. Substitute the values and solve for M:
M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)
6. Calculate the molecular weight of the gas:
M ≈ 32.0 g/mol
Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.
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Why do we need to measure the volume?
We need to measure volume to check capacity of substance, to see that how much material it can hold inside it.
Help me out , plzzzzz!!
Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
⚠️⚠️FIND THE MISSING LENGTH OF THE TRIANGLE⚠️⚠️
⚠️⚠️HURRY PLEASE⚠️⚠️
⚠️⚠️DO QUESTIONS 5 AND 7⚠️⚠️
Answerlol
Step-by-step explanation:
Tomorrow, Sunita and Sunil will get married according to Hindu ritual. In Sunil's house, four banana plants have to be fixed in four corners for 'Linga Chauka in such a way that consecutive banana plants should be fixed at equal distances and banana plants in diagonally opposite direction should also be at the equal distances. If the coordinates of any two opposite banana plants are (3, 4) and (7, 2), then find the equation of the line made by the rice flour joining the remaining two opposite banana plants.
The equation of the line made by the rice flour joining the remaining two opposite banana plants is y = 2x - 7.
How to find the equation of the line?We are given the coordinates of two opposite banana plants, (3, 4) and (7, 2). Since the consecutive plants are fixed at equal distances, the other two plants will lie on the perpendicular bisector of the line segment joining (3, 4) and (7, 2).
First, let's find the midpoint of the line segment joining (3, 4) and (7, 2):
Midpoint = ((x1 + x2)/2, (y1 + y2)/2) = ((3 + 7)/2, (4 + 2)/2) = (5, 3)
Find the slope of the line segment joining (3, 4) and (7, 2):
Slope = (y2 - y1)/(x2 - x1) = (2 - 4)/(7 - 3) = -2/4 = -1/2
Now, we can use the point-slope form of a linear equation to find the equation of the line made by the rice flour joining the remaining two opposite banana plants:
y - y1 = m(x - x1)
Here, m is the slope, and (x1, y1) is the midpoint (5, 3):
y - 3 = 2(x - 5)
y - 3 = 2x - 10
y = 2x - 7
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What does mu X mean statistics?
Mu X is a statistical concept used to measure the difference between two means.
It is calculated by subtracting the mean of one group from the mean of another group. Mu X is often used to compare the means of two or more groups, or to compare the means of two subgroups within a group. It can also be used to measure the relative size of a group's mean compared to the grand mean or the size of a group's mean compared to the mean of another group. Mu X is a useful tool for distinguishing between true and false differences between two means. It is also useful for understanding the relative importance of different factors in a study. Mu X is sometimes referred to as the difference in means or the mean difference, and it is an important concept in inferential statistics.
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a population of 100 frogs increases at an annual rate of 22%. after how many years will the population of the frogs double?
The population of the frogs will be double after 4 years when the current number of frogs were 100 and the annual rate of increment is 22%.
In the given question,
the current population of frogs are: 100
Annual rate of increase in population of frogs = 22%
Population required = double the current population = 2 x 100
= 200
Using the compound interest formula for amount, we can calculate the number of years in which the population of the frogs will be double:
Amount = principal ((1 + r%)^n) ,
here we will consider the amount to be population required, principal will be the current population, r is the annual rate of increment, and n is the time in years.
200 = 100 ((1 + 0.22) ^ n)
⇒ 200/100 = (1.22)^n
⇒ 2 = (1.22) ^ n
We plug digits in place of n and check for the closest result as 2.
We observe that (1.22)^4 = 2.2153 ≈ 2
Hence, we can say that the population of the frogs will be double after 4 years.
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What is a parallel algorithm?
Answer:
A parallel algorithm is a type of algorithm that is designed to run on multiple processors or processing units simultaneously, in order to solve a problem more efficiently or quickly than a sequential algorithm that runs on a single processor.
Question 1
Trainers are on sale for £50 plus VAT (Value Added Tax) at 20%. How much is the total cost?
Answer:
kuya/ate ei calculate nyo nalang po
Step-by-step explanation:
kase po masyadong mahirap ei sorry
Find the area of triangle ABC as shown in the figure. Then find the distance across the pool (AB).
Given the figure, we can deduce the following information:
Angle C= 80°
AC=565 ft
BC=480 ft
To determine the area of the triangle ABC and the distance AB, we first
redraw the figure as shown below:
Next, we use the formula:
\(c=\sqrt{a^2+b^2-2abcosC}\)where:
a=BC=480 ft
b=AC=565 ft
C= Angle C=80°
c=AB
We plug in what we know:
\(\begin{gathered} c=\sqrt{a^2+b^2-2abcosC} \\ c=\sqrt{480^2+565^2-2(480)(565)cos80} \\ Calculate \\ c=AB=674.86\text{ }ft \end{gathered}\)Then, we get the area by using the formula:
\(A=\frac{absin\theta}{2}\)where:
a=480
b=565
θ=80°
So,
\(\begin{gathered} A=\frac{abs\imaginaryI n\theta}{2} \\ A=\frac{(480)(565)sin80}{2} \\ Calculate \\ A=133539.93\text{ }ft^2 \end{gathered}\)Therefore, the answers are:
Distance AB=674.86 ft
Area of triangle ABC=133539.93 ft^2
6. A diet plan claims that women have a mean weight of 145 lbs. Assume that the weights of women have a standard deviation of 30. 86 lb. A sample of 40 weights of women has a mean weight of 153. 2 lb. Find the P-value and using a 0. 05 significance level state the conclusion about the mall hypothesis
A. 0 0930, fail to reject the null hypothesis
B. 000465, reject the mull hypothesis
C. O09535: fail to reject the null hypothesis
D. 70. Reject the mull hypothesis
In hypothesis testing, the null hypothesis states that there is no significant difference between the observed sample mean and the claimed population mean. The P-value is approximately 0.0930, and at a significance level of 0.05, the conclusion is to fail to reject the null hypothesis.
The null hypothesis would be that the mean weight of women is 145 lbs.
To test this hypothesis, we calculate the P-value, which measures the probability of obtaining a sample mean as extreme as the one observed (or more extreme) assuming the null hypothesis is true. The P-value is compared to the chosen significance level to make a conclusion.
Given a sample of 40 weights of women with a mean weight of 153.2 lbs, we can use the sample mean and the population standard deviation (30.86 lbs) to calculate the test statistic, typically a t-statistic or z-score.
By conducting the appropriate calculations, the P-value is found to be approximately 0.0930. When comparing this value to the significance level of 0.05, we observe that the P-value is greater than the significance level. Therefore, we fail to reject the null hypothesis.
Based on these results, the correct answer is A: 0.0930. The P-value is not significant enough to reject the null hypothesis, indicating that there is not enough evidence to support a significant difference between the observed sample mean and the claimed population mean.
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Scarlett stopped at a campground along the Appalachian trail. The campground had a 1 2 acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent. Which expression would give you the size of Scarlett’s campsite? Check all that apply.
Answer:
A and D 1/2 divided by 6 and 6/12 divided by 6
Step-by-step explanation:
I just took the assignment
Please do not put any files and links. pick 1 answer. help please this is so hard for me tbh
Answer:
let's convert the 25 yards into feets -> 75 feet of wire.
now let's subtract the alrdy used 15 ½ feet from we that
we got 59 ½ feet left
now let's just take ⅓ of this, just by dividing by 3.
since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.
59 ½ feet = 59½*12 inches = 714 feet
now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)
⅓ of 714 is just as dividing 714 by 3
= 238
the time machine needs 238 inches of wire
this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations
You have invested 40 percent of your portfolio in an investment with an expected return of 12 percent and 60 percent of your portfolio in an investment with an expected return of 20 percent. What is the expected return of your portfolio?
a. 15.2%
b. 16.0%
c. 16.8%
d. 17.6%
The correct answer is option c. 16.8%, which means that I can have an expected return of 16.8%.Let us go through the solution to know how option c. is the correct one.
The expected return of the portfolio can be calculated by weighing the expected returns of each investment based on their respective percentages in the portfolio.
In this case, with 40 percent invested in an investment with an expected return of 12 percent and 60 percent invested in an investment with an expected return of 20 percent, we can calculate the expected return of the portfolio as follows:
Expected Return of Portfolio = (Weight of Investment 1 * Expected Return of Investment 1) + (Weight of Investment 2 * Expected Return of Investment 2)
= (0.40 * 0.12) + (0.60 * 0.20)
= 0.048 + 0.120
= 0.168
Therefore, the expected return of the portfolio is 16.8%. Hence, the correct answer is option c. 16.8%.
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discuss any two advantages of superposition theorem
compared to other circuit theorms
The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.
Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:
Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.
Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.
It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.
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HELP! solving by substitution-day 2
solve the following system of equations.
{ x=-2y
{ x-y=9
(WORK MUST BE SHOWN)
Answer:
=2.
Step-by-step explanation: 1:x−y=9 2:2x+2y=2. Can i get brainliest?
suppose that $8000 is placed in an account that pays 7% interest compounded each year. assume that no withdrawals are made from the account. follow the instructions below. do not do any rounding.
(a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
To calculate the amount in the account at the end of 1 year, we can use the formula A=P(1+r)^n, where A is the amount, P is the principal (initial amount), r is the interest rate, and n is the number of years.
Plugging in the given values, we have A=8000(1+0.07)^1 = 8560. Therefore, the amount in the account at the end of 1 year is $8560.
To calculate the amount in the account at the end of 2 years, we can again use the same formula A=P(1+r)^n. However, since the interest is compounded annually, we need to use n=2. Plugging in the values, we have A=8000(1+0.07)^2 = 9184.32. Therefore, the amount in the account at the end of 2 years is $9184.32.
In summary, the amount in the account at the end of 1 year is $8560, and the amount in the account at the end of 2 years is $9184.32. These calculations assume that no withdrawals are made from the account and that the interest is compounded annually at a rate of 7%.
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i need help with these two questions
Answer:
A; D
Step-by-step explanation:
The first is mostly because of the slope is larger so i guessed-sorry-
The second one, domain is x and range is y.
How could you use subtraction to find the area of a figure
Answer:
https://brainly.com/question/7699717
Step-by-step explanation:
use the definition of the laplace transform to find l{f(t)}. (enter your answer in terms of s.) f(t) = t, 0 ≤ t < 1 2 − t, t ≥ 1
Answer:
The Laplace transform of f(t) is (3/s^2) e^(-s) - (2/s) + (1/s^2).
Step-by-step explanation:
We use the definition of the Laplace transform:
L{f(t)} = ∫[0,∞) e^(-st) f(t) dt
For f(t) = t, 0 ≤ t < 1, we have:
L{t} = ∫[0,1] e^(-st) t dt
Integrating by parts with u = t and dv = e^(-st) dt, we get:
L{t} = [-t*e^(-st)/s] from 0 to 1 + (1/s) ∫[0,1] e^(-st) dt
L{t} = [-e^(-s)/s + 1/s] + (1/s^2) [-e^(-s) + 1]
L{t} = (1/s^2) - (e^(-s)/s) - (1/s) + (1/s^2) e^(-s)
For f(t) = 2-t, t ≥ 1, we have:
L{2-t} = ∫[1,∞) e^(-st) (2-t) dt
L{2-t} = (2/s) ∫[1,∞) e^(-st) dt - ∫[1,∞) e^(-st) t dt
L{2-t} = (2/s^2) e^(-s) - [e^(-st)/s^2] from 1 to ∞ - (1/s) ∫[1,∞) e^(-st) dt
L{2-t} = (2/s^2) e^(-s) - [(e^(-s))/s^2] + (1/s^3) e^(-s)
Combining the two Laplace transforms, we get:
L{f(t)} = L{t} + L{2-t}
L{f(t)} = (1/s^2) - (e^(-s)/s) - (1/s) + (1/s^2) e^(-s) + (2/s^2) e^(-s) - [(e^(-s))/s^2] + (1/s^3) e^(-s)
L{f(t)} = (3/s^2) e^(-s) - (2/s) + (1/s^2)
Therefore, the Laplace transform of f(t) is (3/s^2) e^(-s) - (2/s) + (1/s^2).
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Select the correct expressions.
Identify the equivalent expressions of 412x + x - 3) - 3x + 3 by substituting x = 2 and x = 3.
9x - 9
9x - 1
9x + x - 9
9(x - 1)
4(3x - 3) + 3 - 3x
PLEASE I’LL GIVE BRAINLIEST
Answer:
9x -9
9(x - 1)
4(3x-3) - 3x + 3
( Hope this helps ) <(^w^)>
Solve for x. Type your answer as a number, without "x=", in the blank.
The value of x, for the angle subtended by the arc is derived to be equal to 19.
What is angle subtended by an arc at the centerThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. The arc measure and the angle it subtends at the center of the circle are directly proportional.
so;
262 = 2(6x + 17)
131 = 6x + 17 {divide through by 2}
6x = 131 - 17 {collect like terms}
6x = 114
x = 114/6
x = 19
Therefore, the value of x, for the angle subtended by the arc is derived to be equal to 19.
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Can someone please please help mke i was suppose to finnish this at least 2 weeks ago please can someone answer these 3 question for at leat 150 or 200 points.
The ratios are 80 : 2/3, 10 : 1/12 and 90 : 3/4 for the equivalent ratio 20 : 1/6.
What is equivalent ratio?By dividing both the antecedent and consequent values by a similar fraction, equivalent ratios can be reduced to the same value. In other words, two ratios are deemed equivalent if the bigger one in value can be expressed as a multiple of the other.
Therefore, we only need to multiply the two amounts by the same number to obtain the equivalent ratio of another ratio. Equivalent ratios and equivalent fractions both have similar ideas. Examples of equivalent ratios include 1:2 and 4:8, 3:5 and 12:20, 9:4 and 18:8, etc.
20 : 1/6
Multiply both by 6
120 : 1
Thus, 120 × 2/3 : 1 × 2/3
80 : 2/3
multiply by 3
80 × 3 : 2/3 × 3
240 : 2
120 : 2
When ratio is 120 : 1
divide both by 120
120/120 : 1/120
1 : 1/120
1 × 10 : 1/120 × 10
10 : 1/12
multiply by 12
120 : 1
1 × 90 : 1/120 × 90
90 : 3/4
multiply by 4
90 × 4 : 3/4 × 4
360 : 3
120 : 1
Thus, the ratios are 80 : 2/3, 10 : 1/12 and 90 : 3/4 for the proportion 20 : 1/6.
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Given the points (-3,5) & (-4,0), what is the equation of the line? *
Answer:
Y=5x+20
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!
Using a calculator, it is found that the correlation coefficient for this data is given by:
B. -0.901.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.To find the coefficient, which has symbol r², we input in a calculator the values of x and the values of y, hence:
r² = -0.901.
Which means that option B is correct.
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please help with this
Answer:
the equivalent ratios are 2:14, 1:7, 3:21, 18:126
Step-by-step explanation:
What can we conclude if the omnibus null hypothesis is rejected in a one-factor anova?
Answer:
Not all the means are equal.
Step-by-step explanation:
In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.
So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.
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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.
ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).
It establishes the relation that:
ESS + RSS = TSS.
If we reject the omnibus null hypothesis, then it means that:
at least one of the population means is different from at least one other population mean.
Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.
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Write by what rule you know the triangles are congruent, or write CNBD for "Cannot be determined." Segments and angles are congruent only if marked congruent.
Answer:
SAS triangle congruence postulate
9-x^2 y = Given x = 4
Answer:
9-16y
Step-by-step explanation:
9-x^2y when x=4
plus in 4: 9- (4)^2y
=9-16y
Which of the two functions below has the largest maximum y-value?
f(x) = -x4- 2
g(x) = -3x3 + 2
Answer:
g(x)=-3x^{3}+2
Step-by-step explanation:
g(x) has a range that of (-infinity, +infinity), whereas f(x) has a range of (-infinity, -2].
Answer:
Step-by-step explanation:
● f(x) = -x^4 -2
● g(x) = -3x^3 + 2
Derivate both functions:
● f'(x) = -4x^3
● g'(x) = -9x^2
Solve the equations f'(x) =0 and g'(x) =0
● f'(x) = 0
● -4x^3 = 0
● x^3 = 0
● x =0
● g'(x) = 0
● -9x^2 = 0
● x^2 =0
● x = 0
So both functions f and g reach their maximum at 0.
● f(0) = 0^4-2 = -2
● g(0) = -3×0^3 +2 = 2
So g(0)>f(0)
So g has the largest maximum value.