a drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop after the end of a run. suppose that the main chute deploys with probability 0.96, and that if the main fails to deploy, the backup deploys with probability 0.95.a. What is the probability that one of the twoparachutes deploys?b. What is the probability that the backup parachutesdeploys?

By evaluating the given linear relation, we conclude that the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

Here we have the linear relation:

9x - 6y = 18

And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.

For example, the first pair has y = 0.

Evaluating that we get:

9x - 6*0 = 18

9x = 18

x = 18/9 = 2

Then we have the pair (2, 0).

The second has x = 0, replacing that we get:

9*0 - 6*y = 18

y = 18/-6 = -3

So we have the pair (0, -3)

The third has x = 1, replacing that:

9*1 - 6y = 18

-6y = 18 - 9 = 9

y = 9/-6 = -3/2

So we have the pair (1, -3/2)

The last value on the table is y = 4, replacing that:

9x - 6*4 = 18

9x - 24 = 18

9x = 18 + 24 = 42

x = 42/9 = 14/3

Then the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

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Step-by-step explanation:

Download math may that help

Given

Carter and Anna are making presentations for a class project.

Carter's slideshow starts with a verbal introduction that is 13 seconds long, and then each slide is left up for 10 seconds.

Anna leaves each slide onscreen for 6 seconds, and her introduction lasts 17 seconds.

Carter and Anna notice that their presentations have both the same number of slides and the same duration.

To find how long is each presentation and how many slides are in each presentation.

Now,

Let x be the time taken for each presentation and y be the number of slides.

Then, the equations are,

Therefore,

Substitute y=1 in (1).

Then,

Hence, the time taken for each presentation is 23 seconds and the number of slides is 1.

Step-by-step explanation:

\((a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}\)

The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

In one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:

Monthly service fee = $90 / 12 = $7.50

Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:

Monthly income = 2 * $1,150 = $2,300

Therefore, Kevin's monthly change in his bank account is:

Monthly change = Monthly income - Monthly service fee

Monthly change = $2,300 - $7.50 = $2,292.50

So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

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\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

Answer:

152 cm²

Step-by-step explanation:

2x5x3=30

2x6x3=36

5x6=30

2x2.5x6=30

2x6=12

(2+5)/2=3.5x2=7x2=14

30+36+30+30+12+14=152

Answer:

Undervalue , overestimate , overvalue , decrimalize

Step-by-step explanation:

Hope this helps

If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.

Speed is simply referred to as distance traveled per unit time.

It is expressed as:

Speed = distance / time

Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.

The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:

Speed = distance / time

time = distance / speed

time = 50 km / 60 km/h

time = 5/6 hour

Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:

Speed = distance / time

time = distance / speed

time = 50 km / 50 km/h

time = 1 hour

Now, the difference in time between the two scenarios would be:

time difference = 1 hour - 5/6 hour

time = 1/6 hour

Convert to minutes

time = 1/6 × 60

time = 10 minutes

Therefore, the train would be late by 10 minutes.

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The expression is,

Substitute -5 fo m and 3 for n in the expression.

So answer is 34.

The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

16, 17.75, 19.5, 21.25, 23, 24.75

The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.

Given that,
A geometric sequence h starts at 16 and has a growth factor of 1.75 what are the first 5 terms is to be determined.

Geometric progression is sequence of series whose ratio with adjacent values remains same.

Here,
For the geometric progression,
a = 16
r = 1.75
The required sequence is given as,
1st = a = 16
2nd = ar = 16 (1.75) = 28
3rd = ar² = 16(1.75)² = 49
Similarly,
4th = 85.75
5th = 150.06

Thus, The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.

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Answer:PLEASE HELP ME

Step-by-step explanation:

here can you guys please help me with this question.

I have been asking help from so many people but no one is nice enough to give it so im hoping that anyone over here can help me. this is the problem

Carl is standing at the base of a zip line which is 400 ft away from the base of the building that is connected to the top of a building. Standing 5.5 ft tall, he looks up to the top of the building at an angle of elevation of 25 degrees. A weight is released and travels down the zip line to his feet. How far did the weight travel? Round to nearest 10th of a foot and do not use units in your answer.

Please show work

Answer:

1/4(1/4)=1/16, or 6.25% chance.

Step-by-step explanation:

There are 13 spades in a deck of 52 cards. This is a 13/52, or 1/4 chance of selecting one. As the cards are replaced we just multiply the probabilities of picking a spade.

I hope this helps!

Answer:

9

Step-by-step explanation:

3 3/4= 3.75.

3.75-2=1.75

1.75+5.5=7.25 or 7 1/4

7.25+1.75=9

Answer:

You can't divide 2 by 7 unless you will round and need a decimal because it will equal 0.28571428571 but if you mean 7 divided by 2 then that would get you 3.5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

There is 6-2 =4 years between them

24-4 =20

The sister is 20

Answer: 20 years old

Step-by-step explanation: So, we know the girl is 4 years older than the sister...how do we know that? Because...

6 - 2 = 4

She's 4 years older...we know the girl is 24, then the sister must be 20.

24 - 4 - 20...

The sister is 20 years old, I hope this helps

Answer:

10 + $25.75x

Step-by-step explanation:

He has 10 dollars to start out with, then you put x to show that we don't know how many lawns he will mow, but that's how much he makes when he does.

Answer:

\(\frac{2}{3}\ln(x+1)-\frac{1}{x-2} -\frac{2}{3}\ln(x-2)+C\)

Step-by-step explanation:

Integrate the following expression.

\(\int \frac{-x+5}{(x^2-4x+4)(x+1)}\)

\(\hrulefill\)

In order to integrate this function we are gonna have to use partial fraction decomposition. Start by factoring the the denominator completely.

\(\int \frac{-x+5}{(x^2-4x+4)(x+1)}dx\\\\\Longrightarrow \int \frac{-x+5}{(x-2)^2(x+1)}dx\)

Now we can apply partial fractions. Partial fractions allows us to split up complex fractions, in doing so this will make them easier to integrate.

\(\frac{-x+5}{(x-2)^2(x+1)}=\frac{A}{x+1}+\frac{B}{(x-2)^2}+\frac{C}{x-2}\\\\\Longrightarrow \frac{-x+5}{(x-2)^2(x+1)}=\frac{A}{x+1}+\frac{B}{(x-2)^2}+\frac{C}{x-2} \Big](x-2)^2(x+1)\\\\\Longrightarrow \boxed{-x+5=A(x-2)^2+B(x+1)+C(x-2)(x+1)}\)

Expand the right-hand-side and use the comparison method to find the values of the undetermined coefficients, A, B, and C.

\(-x+5=A(x-2)^2+B(x+1)+C(x-2)(x+1)\\\\\Longrightarrow -x+5=Ax^2-4Ax+4A+Bx+B+Cx^2-Cx-2C\\\\\Longrightarrow \boxed{0x^2-x+5(1)=(A+C)x^2+(-4A+B-C)x+(4A+B-2C)(1)}\)

We can now form a system of equations.

For x^2 terms:

\(A+C=0\)

For x terms:

\(-4A+B-C=-1\)

For #'s:

\(4A+B-2C=5\)

\(\Longrightarrow \left\{\begin{array}{ccc}A+C=0\\-4A+B-C=-1\\4A+B-2C=5\end{array}\right\)

You can use any method of choice to solve the system of equations. I am going to put the system in a matrix and use my calculator to row reduce.

\(\Longrightarrow \left[\begin{array}{ccc}1&0&1\\-4&1&-1\\4&1&-2\end{array}\right] =\left[\begin{array}{c}0\\-1\\5\end{array}\right]\\\\ \\ \ \ \ \Longrightarrow \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] =\left[\begin{array}{c}\frac{2}{3} \\1\\-\frac{2}{3}\end{array}\right]\\\\\\\therefore \boxed{A=\frac{2}{3}, \ B=1, \ \text{and} \ C=-\frac{2}{3}}\)

Now we can split up the fraction.

\(\frac{-x+5}{(x-2)^2(x+1)}=\frac{A}{x+1}+\frac{B}{(x-2)^2}+\frac{C}{x-2}\\\\\Longrightarrow \boxed{\frac{-x+5}{(x-2)^2(x+1)}=\frac{\frac{2}{3} }{x+1}+\frac{1}{(x-2)^2}+\frac{-\frac{2}{3}}{x-2}}\)

We can integrate the three fractions separately.

\(\Longrightarrow \int \frac{\frac{2}{3} }{x+1}dx+ \int \frac{1}{(x-2)^2}dx+\int \frac{-\frac{2}{3}}{x-2}dx\\\\\Longrightarrow \boxed{\frac{2}{3}\int \frac{1 }{x+1}dx+ \int \frac{1}{(x-2)^2}dx-\frac{2}{3}\int \frac{1}{x-2}dx}\\\\\)

For the first integral let u=x+1 => du=dx, for the second let v=x-2 => dv=dx, and for the third integral let w=x-2 => dw=dx

\(\Longrightarrow \frac{2}{3} \int \frac{1 }{u}du+ \int \frac{1}{v^2}dv-\frac{2}{3}\int \frac{1}{w}dw\\\\\Longrightarrow \boxed{\frac{2}{3} \int \frac{1 }{u}du+ \int v^{-2}dv-\frac{2}{3}\int \frac{1}{w}dw}\)

Use the rules of integration to integrate.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Natural Log Rule:}}\\\\ \int\frac{1}{x}dx=\ln(x) \end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Power Rule:}}\\\\ \int x^ndx=\frac{x^{n+1}}{n+1} \end{array}\right}\)

\(\frac{2}{3} \int \frac{1 }{u}du+ \int v^{-2}dv-\frac{2}{3}\int \frac{1}{w}dw\\\\\Longrightarrow \frac{2}{3}\ln(u)-v^{-1}-\frac{2}{3}\ln(w)+C\\\\\Longrightarrow \frac{2}{3}\ln(x+1)-(x-2)^{-1}-\frac{2}{3}\ln(x-2)+C\\\\\Longrightarrow \frac{2}{3}\ln(x+1)-\frac{1}{x-2} -\frac{2}{3}\ln(x-2)+C\\\\\therefore \boxed{\boxed{\int \frac{-x+5}{(x^2-4x+4)(x+1)}=\frac{2}{3}\ln(x+1)-\frac{1}{x-2} -\frac{2}{3}\ln(x-2)+C}}\)

Thus, the given integral is solved where "C" is some arbitrary constant that can be found given an initial condition.

To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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Answer:

The values are \(x=2\sqrt{2}\) and \(y=2\sqrt{6}\).

Step-by-step explanation:

A right triangle is a type of triangle that has one angle that measures 90°.

In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

                                             \(\sin(\theta)=\frac{opposite \:site}{hypotenuse}\)

To find the value of x we use the above definition. From the diagram we can see that the angle is 30º and the hypotenuse is \(4\sqrt{2}\). Therefore,

\(\sin(30)=\frac{x}{4\sqrt{2} }\\\\\frac{x}{4\sqrt{2}}=\sin \left(30^{\circ \:}\right)\\\\\frac{8x}{4\sqrt{2}}=8\sin \left(30^{\circ \:}\right)\\\\\sqrt{2}x=4\\\\\frac{\sqrt{2}x}{\sqrt{2}}=\frac{4}{\sqrt{2}}\\\\x=2\sqrt{2}\)

To find the value of y we use the above definition. From the diagram we can see that the angle is 60º and the hypotenuse is \(4\sqrt{2}\). Therefore,

\(\sin(60)=\frac{y}{4\sqrt{2} }\\\\\frac{y}{4\sqrt{2}}=\sin \left(60^{\circ \:}\right)\\\\\frac{8y}{4\sqrt{2}}=8\sin \left(60^{\circ \:}\right)\\\\\sqrt{2}y=4\sqrt{3}\\\\\frac{\sqrt{2}y}{\sqrt{2}}=\frac{4\sqrt{3}}{\sqrt{2}}\\\\y=2\sqrt{6}\)

Answer:

C.

Step-by-step explanation:

trust me its correct on EDGE2021

Answer:

No, the zeros of the function are at x = 3/4 and x = –2

Step-by-step explanation:

the equation

4x² + 5x – 6 = 0

(note: since there is a coefficient of x² we need to multiply it to the last term(6))

4x² + 5x – 24 = 0

the factors are :- 8x and – 3x

4x² + 8x – 3x – 6 = 0

4x( x + 2) –3( x + 2) = 0

( 4x – 3)( x + 2) = 0

the zeros will be

4x – 3 = 0

4x = 3

\(x = \frac{3}{4} \)

x + 2 = 0

x = – 2

the zeros are x= 3/4 or –2

i hope this helps

Answer:

app

and

ack

abc

as.s (my favorite)

add

all

i can make more im just lazy lol have a good day kind sir/madam/person

Answer:

3500 = 20x + 60y

Step-by-step explanation:

Its just the answer

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

Ratio refers to the quantitative relationship between two or more quantities, expressing the proportion of one quantity to the other(s). It is typically expressed as a fraction, where the numerator represents one quantity, and the denominator represents the other quantity.

For example, the ratio of the number of boys to the number of girls in a class of 30 students might be expressed as 2:3, which means there are 20 girls and 10 boys in the class. Similarly, the ratio of the length to the width of a rectangle might be expressed as 4:3, indicating that the length is four times greater than the width.

The ratio of sheep to horses is 4:1, which means that for every 4 sheep on the farm, there is 1 horse. We can also say that the total ratio of sheep and horses on the farm is 4+1=5.

To express the relationship between the chickens and the sheep, we need to use the fact that there are 32 chickens and 12 sheep on the farm. We can write this as a ratio:

\(chickens : sheep = 32 : 12\)

We can simplify this ratio by dividing both sides by 4:

\(chickens: sheep = 8: 3\)

This means that for every 8 chickens on the farm, there are 3 sheep.

To determine the number of horses on the farm, we can use the fact that the total ratio of sheep and horses is 5. We know that the ratio of sheep to horses is 4:1, so we can write:

\(sheep : horses = 4 : 1\)

We can simplify this ratio by dividing both sides by 4:

\(sheep : horses = 1 : 0.25\)

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

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Answer:

9/16

Step-by-step explanation:

\(f(x)=-\frac{9}{x}\)

\(f(x)=-9x^{-1}\)

Derivative rule:

\(f(x)=x^{n} \\\)

\(\frac{df}{dx}=nx^{n-1}\)

Here, n=-1, so

\(\frac{df}{dx}=(-9)(-1)x^{-2} =\frac{9}{x^{2} }\)

Evaluating this at x=-4 gives 9/16

Answer:

9/16

Step-by-step explanation:

Answer:

The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.