consider the figure below. which of the following lines are parallel? justify your answer.

Answer: Why are all the amount of points on  questions that people have no idea what to even type.

Step-by-step explanation:

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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Answer:

x = 7 - 3y

Step-by-step explanation:

6y + 2x = 14 (divide all by two)

3y + x = 7 (move 3y to the right to isolate x)

x = 7 - 3y

Answer:

7-3y=x

Step-by-step explanation:

6y+2x=14

2x=14-6y >>> isolate x variable

x=7-3y >>> simplify because everything is divisible by 2

Answer:

The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.

Step-by-step explanation:

Let's assume the speed of the passenger train is represented by x mph.

According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.

Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.

Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.

Since speed = distance/time, we can set up the following equation based on the distances covered by each train:

Distance covered by passenger train = Distance covered by freight train

Using the formula, distance = speed × time, we get:

x × 3 = (x - 18) × 5

Simplifying the equation:

3x = 5x - 90

90 = 5x - 3x

90 = 2x

Dividing both sides by 2:

45 = x

So, the speed of the passenger train is 45 mph.

The speed of the freight train is 45 - 18 = 27 mph.

Part A (Domain and Range)

Domain

The domain is the set of all the values of x for which the function represented by the graph is defined. From the graph:

(A)The domain of the function is:

The range is the set of all the values of y for which the function represented by the graph is defined. From the graph:

(A)The range of the function is:

(A)The x-intercepts of the function are:

(A)The y-intercept of the function is:

Part C

The horizontal asymptote is at:

Part D

The vertical asymptotes are at:

Part E

The oblique asymptote is usually slant.

From the graph, there are no obliques asymptotes.

Option B is correct here.

an

expression which represents the sum of(-52 +10) and (–72 +9) in

simplest terms

Answer:

The answer is 270000....

The first cellphone service provider to be established in South Africa was Vodacom. Vodacom was launched on April 1, 1994, and it became the country's first cellular network operator.

The company was a joint venture between Telkom, the national telecommunications company of South Africa, and Vodafone, a global telecommunications giant.

Vodacom introduced the GSM network to South Africa, providing mobile voice and data services to customers across the country. Its launch marked a significant milestone in the telecommunications industry in South Africa, as it brought mobile communication to the masses and revolutionized the way people connect and communicate.

Since its inception, Vodacom has played a pivotal role in the development of the telecommunications sector in South Africa. It has continually expanded its network coverage, introduced innovative services, and played an active role in bridging the digital divide in the country.

Today, Vodacom remains one of the leading mobile network operators in South Africa, providing a wide range of mobile services to millions of customers.

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The probable question may be:

Which cellphone service provider was the first to be established in south africa

Answer:

The net worth does not change.

Step-by-step explanation:

Net worth is the sum of all of your assets minus the liabilities.

If you start off with 2,500 in your savings account, then you use the money to buy a car the net worth does not change. You started with a net worth of 2,500 because money in your savings account in considered an asset. You then use that money to buy a car which is an asset, and the car contributes to your net worth.

Answer:

Step-by-step explanation:

a = x

b = 2x^2

ab = x * 2x^2

ab = 2 x^3

2ab = 4 * x^3

102 hundredths

102/100

f(x)=3x−1                   [ Given ]

⇒  f(0)=3(0)−1

∴   f(0)=−1      

Now,

f(0)+2=−1+2

∴  f(0)+2=1                  ---- ( 1 )

g(x)=4x+2

⇒  g(f(0)+2)=g(1) ..... [ From ( 1 ) ]

⇒  g(f(0)+2)=4(1)+2                    

⇒  g(f(0)+2)=4+2

∴   g(f(0)+2)=6

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that rates are higher for single male policyholders verses married male policyholders (P-value = 0.004).

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that rates are higher for single male policyholders verses married male policyholders.

Then, the null and alternative hypothesis are:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0\)

The significance level is 0.05.

The sample 1 (single group), of size n1=450 has a proportion of p1=0.1489.

\(p_1=X_1/n_1=67/450=0.1489\)

The sample 2 (married group), of size n2=925 has a proportion of p2=0.1005.

\(p_2=X_2/n_2=93/925=0.1005\)

The difference between proportions is (p1-p2)=0.0483.

\(p_d=p_1-p_2=0.1489-0.1005=0.0483\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{67.005+93}{450+925}=\dfrac{160}{1375}=0.1164\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.1164*0.8836}{450}+\dfrac{0.1164*0.8836}{925}}\\\\\\s_{p1-p2}=\sqrt{0.0002+0.0001}=\sqrt{0.0003}=0.0184\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0483-0}{0.0184}=\dfrac{0.0483}{0.0184}=2.62\)

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

\(P-value=P(z>2.62)=0.004\)

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that rates are higher for single male policyholders verses married male policyholders.

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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Answer: She has 40 shirts in all

Step-by-step explanation: 50% of 40 is 20

Answer:

108 ft²

Step-by-step explanation:

For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.

Next, we have to find the other side of the polygon on the right so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.

Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.

Hopefully that's helpful! :)

B)  16, -8, 4, -2, 1

C) -15, -18, -21.6, -25.92, -31.104

E) 625, 125, 25, 5, 1

==================================================

Explanation:

Part (A)

Divide each term over its previous term. If each result is the same, then we have a geometric sequence.

(term2)/(term1) = (-4)/(-2) = 2

(term3)/(term2) = (-6)/(-4) = 1.5

We can stop here since we got a different result.

This sequence is not geometric.

--------------------------------------

Part (B)

Same idea as part (A)

(term2)/(term1) = (-8)/16 = -0.5

(term3)/(term2) = 4/(-8) = -0.5

(term4)/(term3) = (-2)/4 = -0.5

(term5)/(term4) = 1/(-2) = -0.5

We get the same result each time. The common ratio is r = -1/2 = -0.5. This sequence is geometric.

--------------------------------------

Part (C)

(term2)/(term1) = (-18)/(-15) = 1.2

(term3)/(term2) = (-21.6)/(-18) = 1.2

(term4)/(term3) = (-25.92)/(-21.6) = 1.2

(term5)/(term4) = (-31.104)/(-25.92) = 1.2

This sequence is geometric since each result is the same. The common ratio is r = 1.2

note: 6/5 = 1.2

--------------------------------------

Part (D)

(term2)/(term1) = (10.5)/4 = 2.625

(term3)/(term2) = (17)/(10.5) = 1.619

We don't get the same result, so we can stop here. This sequence is not geometric.

--------------------------------------

Part (E)

(term2)/(term1) = (125)/(625) = 0.2

(term3)/(term2) = (25)/(125) = 0.2

(term4)/(term3) = (5)/(25) = 0.2

(term5)/(term4) = (1)/(5) = 0.2

The common ratio is r = 0.2 or r = 1/5

This sequence is geometric.

Answer:

C) -15, -18, -21.6, -25.92, -31.104

E) 625, 125, 25, 5, 1

Step-by-step explanation:

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

It will be. - 4/10 only that

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

Step-by-step explanation: Après un an on a 20000(1+t%)+20000

Après 2 ans on a 20000(1+t%)^2+20000(1+t%)^1=44298

On a donc 20000[(1+t%)^2+(1+t%)^1]=44298

En résolvant l’équation de second degré dans R, on obtient : t = 7%

Answer:

the answer should be 158 but I'm not a hundred percent sure

Solution

Answer:

Ok, we have a system of equations:

6*x + 3*y = 6*x*y

2*x + 4*y = 5*x*y

First, we want to isolate one of the variables,

As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:

(6*x + 3*y)/(2*x + 4*y) = 6/5

now we isolate one off the variables:

6*x + 3*y = (6/5)*(2*x + 4*y) =  (12/5)*x + (24/5)*y

x*(6 - 12/5) = y*(24/5  - 3)

x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y

Now we can replace it in the first equation:

6*x + 3*y = 6*x*y

6*(0.5*y) + 3*y = 6*(0.5*y)*y

3*y + 3*y = 3*y^2

3*y^2 - 6*y = 0

Now we can find the solutions of that quadratic equation as:

\(y = \frac{6 +- \sqrt{(-6)^2 - 4*3*0} }{2*3} = \frac{6 +- 6}{6}\)

So we have two solutions

y = 0

y = 2.

Suppose that we select the solution y = 0

Then, using one of the equations we can find the value of x:

2*x + 4*0 = 5*x*0

2*x = 0

x = 0

(0, 0) is a solution

if we select the other solution, y = 2.

2*x + 4*2 = 5*x*2

2*x + 8 = 10*x

8 = (10 - 2)*x = 8x

x = 1.

(1, 2) is other solution

The constant of variation of the given problem is calculated as; 240 miles

A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).

Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;

s ∝ 1/t

Thus;

s = k(1/t)

where k is the constant of proportionality

we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;

120 = k(1/2)

Multiply both sides by 2 to get;

240 miles = k

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Answer: -3

Step-by-step explanation:

3 × -3 = -9

-9 + -1 = -10

3(-3) - 1 = -10

CosФ=24/25

Sin Ф=7/25 CoseceФ=25/7

TanФ=7/24 cotФ=24/7

SecФ=25/24