Can someone please explain system of equations to me?
I’m struggling

Answer:

tragedy= depicts the downfall of a high ranking hero

comedy= depicts trials of ordinary people

drama= ridicules human relationships

Step-by-step explanation:

depicts trials of ordinary people = drama

depicts the downfall of a high-ranking hero = tragedy

ridicules human relationships = comedy

Step-by-step explanation:

got it right

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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Answer:

Miss Meod lost $88 from Adams' first week of services.

Step-by-step explanation:

Assuming the first sentence stand

As Adams received $125 of wages the break-point is at $250 dollars

which is double of Adams' wage. Below this point the employe cannot realize a gain.

The services performed were $162  we subtract the break even point:

162 - 250 = -88

Durign the first week Miss Adams services generate a variable loss for $88

Based on the area of the triangular prism, and the height, the volume of the triangular prism can be found to be 80 cm³

This can be found as:

= Area of triangular base x Height of triangular prism

Solving gives:

= (1/2 x 4  x 5 ) x 8

= 10 x 8

= 80 cm³

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If a divides b and a divides c, then a divides (bm + cn).

To prove that if a divides b and a divides c, then a divides (bm + cn), we can use the properties of divisibility.

Given:

a|b, which means b is divisible by a.

a|c, which means c is divisible by a.

We want to show that a|(bm + cn), which means (bm + cn) is divisible by a.

By definition, if a divides b, then there exists an integer k₁ such that b = ka. Similarly, if a divides c, there exists an integer k₂ such that c = ka.

Now, let's substitute these expressions into (bm + cn):

(bm + cn) = (ka)m + (ka)n

= kam + kan

= a(km + kn)

We can see that (bm + cn) can be written as a times the integer (km + kn). Since (km + kn) is an integer, this implies that (bm + cn) is divisible by a.

Therefore, if a divides b and a divides c, then a divides (bm + cn).

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The customer can pay

1 time anually: $1127.58

12 payments of $98.99

To determine how much he will pay if the chooses the monthly plan, multiply the monthly fee by 12

If he chooses the monthly plan he will pay $1187.88 in a year.

Subtract both fees to determine how much he'll save if the chooses to pay the full amount:

He will save $60.3

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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Answer:

x=3 ; y=1

Step-by-step explanation:

y=3x-8 ---- 1

x+y = 4. ----- 2

Put value of y from equation 1 in equation 2,

x+3x-8 = 4

Adding x terms,

4x-8 = 4

Adding 8 on both the sides,

4x = 12

Dividing by 4,

x = 3

Put the value of x in equation 2,

3 + y = 4

Subtract 3 from both the sides,

y = 4-3 = 1

x=3 ; y=1

Answer:

The triangle are similar and the missing line is 16.5

Step-by-step explanation:

The reason is because the scale factor is 2. You can find this out by multiply 8×2=16 and 9×2=18. With this in mind you divided 11 by 2 to get 5.5 for LD. Finally, adding 11+5.5 you will get 16.5.

Hope this helped

The function f(x) is a periodic function with oscillations, while g(x) is an exponential function that decreases rapidly.

The function f(x) is a periodic function that oscillates between 1/4 - 1 and 1/4 + 1 with a period of 2.

It starts at 1/4 - 1, reaches a maximum of 1/4 + 1, then returns to 1/4 - 1, and so on. The sine function sin(πx) generates these oscillations, and the constant 1/4 shifts the graph vertically.

The function g(x) is an exponential function with a base of 4 raised to the power of -x. As x increases, the exponent becomes more negative, causing the function to decrease rapidly.

Similarly, as x decreases, the exponent becomes less negative, causing the function to increase rapidly. The function approaches zero as x approaches infinity.

In summary, f(x) is a periodic function with oscillations, while g(x) is an exponential function that decreases rapidly.

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

Represents a direct variation

Step-by-step explanation:

y = 2/7x

To find x-intercept/zero, substitute

y = 0

0 = 2/7x

Multiply both sides of the equation by 7/2

0 = x

Swap the sides of the equation

x = 0

Solution

x = 0

This is a direct variation because when x = 0. Y has to = 0 as well and it is so that makes this equation a direct variation.

direct variation - mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

Mathematics majors \($=21$\)

Computer science majors \($=325$\)

We need to use product rule because the first event is picking the mathematics major and second event is picking the computer science major

\($$21\times325=6825$$\)

We need to use sum rule because the first event is picking OR mathematics major and second event is picking the computer science major

\($$21+325=346$$\)

What is mathematics ?

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Answer:

C is the correct answer

The equation that can be used to find the value of x is 120 = (x + 5) × (120/x - 1/3).

Carmen's first trip was 120 miles, and she traveled at an average of x miles per hour. We can use the formula:

distance = rate × time, which can be written as:
120 miles = x miles/hour × time

where, time is the time for outgoing.

For the return trip, Carmen traveled at a rate that was 5 miles per hour faster, so her speed was (x + 5) miles/hour. The time for the return trip was one-third of an hour less than the time for the outgoing trip, so we can represent the return trip time as (time - 1/3) hours. Using the distance formula again for the return trip:
120 miles = (x + 5) miles/hour × (time - 1/3) hours

Now, let's express both times in terms of x. From the first equation, we can find the time for the outgoing trip as:
time = 120 miles / x miles/hour

Substitute this expression for time in the return trip equation:
120 miles = (x + 5) miles/hour × (120/x - 1/3) hours

Now you have an equation that can be used to find the value of x:
120 = (x + 5) × (120/x - 1/3)

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The peaks at m/z 43, 57, and 85 in the mass spectrum of 2,4-dimethylpentane can be attributed to the fragments resulting from different fragmentation pathways, including the loss of a methyl group, an ethyl group, and the cleavage of the C-C bond between the two methyl groups.

The mass spectrum of 2,4-dimethylpentane shows peaks at m/z 43, 57, and 85. These peaks correspond to the fragments resulting from the fragmentation of the molecule. Let's examine the possible fragmentations that give rise to these peaks:

1. Fragment at m/z 43:

The peak at m/z 43 suggests the presence of a small fragment in the mass spectrum. One possible fragmentation pathway could involve the loss of a methyl group (CH3) from the parent molecule. This would result in a fragment with a molecular weight of 43, corresponding to a methyl radical (•CH3).

2. Fragment at m/z 57:

The peak at m/z 57 indicates the presence of another fragment in the mass spectrum. One possible fragmentation pathway could involve the loss of an ethyl group (C2H5) from the parent molecule. This would result in a fragment with a molecular weight of 57, corresponding to an ethyl radical (•C2H5).

3. Fragment at m/z 85:

The peak at m/z 85 suggests the presence of a larger fragment in the mass spectrum. One possible fragmentation pathway could involve the cleavage of the C-C bond between the two methyl groups in the parent molecule. This would result in a fragment with a molecular weight of 85, corresponding to a butyl radical (•C4H9).

It's important to note that these fragmentations are just examples and there could be other possible fragmentations contributing to the mass spectrum. The specific fragmentation pathways can vary depending on the instrument and conditions used for the mass spectrometry analysis.

In summary, the peaks at m/z 43, 57, and 85 in the mass spectrum of 2,4-dimethylpentane can be attributed to the fragments resulting from different fragmentation pathways, including the loss of a methyl group, an ethyl group, and the cleavage of the C-C bond between the two methyl groups.

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Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

Answer:

\(\huge\boxed{\sf Distance = 2.793\ miles}\)

Step-by-step explanation:

Given Data:

Speed = 4.9 mph

Time = 0.57 hours

Required:

Distance = ?

Formula:

Distance = Speed * Time

Solution:

Distance = 4.9 * 0.57

Distance = 2.793 miles

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

JK = 3\(\sqrt{3}\)

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = \(\frac{1}{2}\) , then

cos60° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{JK}{JL}\) = \(\frac{JK}{6\sqrt{3} }\) = \(\frac{1}{2}\) ( cross- multiply )

2JK = 6\(\sqrt{3}\) ( divide both sides by 2 )

JK = 3\(\sqrt{3}\)

Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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Answer:I believe is 18,000

Step-by-step explanation:

If the current population is 1000 in 27 weeks it would be 9000 because if they double every 3 weeks u have to divide 27 divided by 3 which is 9 and if they double you multiply 9x2 and that equals 18 now 18x1000 equals 18000

Answer:

45

Step-by-step explanation:

20:15 the ratio can be turned to a fraction

20/15

simplify

4/3

so now add the numerator and the denominator and get 7

then do 105/7=15

and then you do

4x15=60 (Destroyers)

3x15=45 (Battleships)

45 is your answer

Answer:

4.8557004e+15

Step-by-step explanation:

Answer:

4.855700398*10^15

Step-by-step explanation:

I hope it helps

Answer:

s = 126

Step-by-step explanation:

The number A(t) of grams of salt in the tank at time is: \(200 - 180e^{-1/40t}\)

To determine the number of grams of salt in the tank at time t, we would apply the equation of state to have:

dA/dt = R(in) - R(out)

For R(out), we would have:

R(in) = 5g/min

R (out) = A/40 g/min

We would substitute these in the equation and apply a differential limit where A = 20 and t = 0

So,

20 = 200 + C

c = -180

Thus, the equation that expresses the rate = \(200 - 180e ^{-1/40t}\)

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Complete Question:

1. A tank contains 200 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

A(t) = ____ g

a) We would expect approximately 0.2325 × 200 = 46.5 vehicles

to fail in their first 2 years. Since we cannot have a fraction of a vehicle

failing, we would expect around 46 or 47 vehicles to fail in their first 2

years.

b) The approximate probability that 50 or more vehicles fail in

the first 2 years is 0.0004.

c) The approximate probability that no more than 10 of the remaining

vehicles fail in their first 2 years, given that 30 have already failed, is 0.0002.

a) The average lifespan of the vehicle is 8 years, and it follows an

exponential distribution, which has a probability density function of

\(f(x) = (1/θ) \times e^(-x/θ)\),

where θ is the mean of the distribution. Thus, θ = 8.

The probability that a vehicle fails in the first 2 years can be found by

integrating the exponential probability density function from 0 to 2:

P(X ≤ 2) = ∫[0,2] f(x) dx = ∫[0,2] (1/8) × e^(-x/8) dx

Using a calculator or a table of integrals, we can find this probability to

be approximately 0.2325.

b) The number of vehicles that fail in the first 2 years follows a Poisson

distribution with parameter λ = 200 × P(X ≤ 2) = 200 × 0.2325 = 46.5.

The probability that 50 or more vehicles fail in the first 2 years can be

found using the Poisson distribution with parameter λ = 46.5:

P(X ≥ 50) = 1 - P(X < 50)

Using a Poisson distribution table or a calculator, we can find that P(X <

50) is approximately 0.9996.

Thus, P(X ≥ 50) = 1 - 0.9996 = 0.0004 (approximately).

c) Given that 30 vehicles have already failed in under 2 years, we need

to find the probability that no more than 10 of the remaining 170 vehicles

fail in their first 2 years.

The number of vehicles that fail in the first 2 years follows a Poisson

distribution with parameter λ = 170 × P(X ≤ 2) = 170 × 0.2325 = 39.525

(rounded to 40).

Thus, we need to find P(Y ≤ 10), where Y is a Poisson random variable

with parameter λ = 40.

Using a Poisson distribution table or a calculator, we can find that P(Y ≤

10) is approximately 0.0002.

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Given that the x and y variables are proportional, then they satisfy the next relationship:

y = kx

where k is some constant.

Isolating k, we get:

k = y/x

Computing y/x with the values of the table:

Therefore, the equation that relates x and y is:

y = 3x