Find the length of the third side to the nearest tenth.

Answer:

E

Step-by-step explanation:

We are given that a particle's position along the x-axis at time t is modeled by:

[tex]x(t)=2t^3-21t^2+72t-53[/tex]

And we want to determine at which time(s) t is the particle at rest.

If the particle is at rest, this suggests that its velocity at that time is 0.

Since are we given the position function, we can differentiate it to find the velocity function.

So, by differentiating both sides with respect to t, we acquire:

[tex]\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big][/tex]

Differentiate. So, our velocity function is:

[tex]v(t)=6t^2-42t+72[/tex]

So, we will set the velocity to 0 and solve for t. Hence:

[tex]0=6t^2-42t+72[/tex]

We can divide both sides by 6:

[tex]0=t^2-7t+12[/tex]

Factoring yields:

[tex](t-3)(t-4)=0[/tex]

By the Zero Product Property:

[tex]t-3\text{ and } t-4=0[/tex]

Hence:

[tex]t=3\text{ and } t=4[/tex]

Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.

Our answer is E.

Answer:

y= -3x+11

Step-by-step explanation:

I am assuming ".1, eight" is (1,8)

y=-3x +10<--- the slope is -3 so plug into this equation: y-y1=m(x-x1)

y-8=-3(x-1)

y-8=-3x+3

Answer:

0.67 feet

Step-by-step explanation:

This question can be interpreted as find the 11th term of a geometry progression where a = 6.25 and r = 80%

So, we have:

[tex]T_n = ar^{n-1}[/tex]

In this case:

[tex]r - 80\% = 0.8[/tex]

[tex]n = 11[/tex]

So, we have:

[tex]T_{11} = 6.25 * 0.8^{11-1}[/tex]

[tex]T_{11} = 6.25 * 0.8^{10}[/tex]

[tex]T_{11} = 6.25 * 0.1073741824[/tex]

[tex]T_{11} = 0.67ft[/tex]

Hence, the height of rebound at the 11th time is approximately 0.67

Answer: 0.7

Step-by-step explanation:

Okay, we see that there are 10 pieces in the circle - thus, it is our denominator. Next, we see that 9 out of them are coloured in. Therefore, the fraction is 9/10. To express our answer as a percent, we need to divide 9 and 10 to get 0.9. Then, we multiply 0.9 by 100 to get 90%. As a result, your answer is 90%.

The percentage of the shape that is purple is approximately 90%.

To find the percentage of the shape that is purple, we need to calculate the proportion of purple pieces out of the total number of pieces and express it as a percentage.

Given that there are 10 pieces in total and 9 of them are colored in, we can calculate the percentage as follows:

Percentage of purple pieces = (Number of purple pieces / Total number of pieces) × 100

Percentage of purple pieces = (9 / 10) × 100

Percentage of purple pieces = 0.9 × 100

Percentage of purple pieces = 90%

Therefore, the percentage of the shape that is purple is approximately 90%.

Learn more about percentages here:

brainly.com/question/24159063

#SPJ2

Answer:

4x+20+2

4x+22

Step-by-step explanation:

4×x=4x then 4×5=20+2

Answer: 6

Step-by-step explanation: Hope I helped give me a good review and a thanks please

Step-by-step explanation:

Equations:

68.75 = 0.5c + 1.25m

c + m = 100

First, let's get rid of one of the variables. Let's start with the simplest equation first. Let's move a variable, so that only one variable is equal to the rest of the equation.

c + m = 100 to c = -m + 100

(it doesn't matter which variable)

Next, since we have what variable c is equal to, we will now incorporate it into our more complex equation.

68.75 = 0.5(-m + 100) + 1.25 m

Now, to get rid of the parentheses, and just have a regular addition equation with the only variable being m.

68.75 = -0.5m + 50 + 1.25m

Next, we need to make it so that there is only one version of the variables. Just combine the variables together so that the form one cohesive unit.

68.75 = 0.75m + 50

Now, we are going to do the same thing that we did in our first equation (with a mix of the last step we just did), but instead of variables, we are going to do it with the whole numbers instead, and converge them onto one side of the equal sign. Keep in mind that at this step in the process, the variable with it's cohesive unit should be isolated on one side of the equal sign and the other being taken up solely by whole numbers.

118.75 = 0.75m

Now, we just need to make the variable equal to 1 (or just m). So we must either multiply or divide. In this case we will be multiplying both sides by 0.75.

118.75 x 0.75 = 0.75m

So, after this step, you should have an answer of;

89.0625

However, you can't just sell a 0.0625% portion of something to somebody (especially muffins, like come on). Also, the amount of cookies and muffins must be equal to 100 and each variable is in whole numbers (usually).

*Always make sure that when you are done with a problem that you double check it. Usually, with equations like this, you just plug in the variables into the equations, and if they fit both equations, you've done well.

From this point forward, I'm leaving you to your own devices. It's 2:38 a.m. and I need to get up at 7:15. I hope this helps!

Answer:

50 C = 122 F

Step-by-step explanation:

50°C × 9/5 +32

Answer:

Step-by-step explanation:

[tex]2x - 5 = 7 \\ 2x = 12 \\ x = 6[/tex]

Hey there!

“Solve 2x – 5 = 7”

FIRST: ADD both SIDES by 5

2x – 5 + 5 = 7 + 5

CANCEL out: –5 + 5 because it gives you 0

KEEP: 7 + 5 because it helps us solve for x

7 + 5 = 12

NEW EQUATION: 2x = 12

SECOND: DIVIDE both sides by 2

2x / 2 = 12 / 2

CANCEL out 2 / 2 because that gives you 1

KEEP: 12 / 2 because it gives you the value of x

NEW EQUATION; x = 12 / 2

SOLVE ABOVE and you have your answer

12 / 2 = 6

Therefore, x = 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

4x + 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Define

4(x + 3)

Step 2: Expand

Answer:

[tex] \huge4(x + 3) = 4x + 12[/tex]

Answer:

1.25

Step-by-step explanation:

10/4=2.5

2.5*0.5

Answer:

4 pencils = $0.50, divide 0.50 by 4, 1 pencil is $0.125. multiply that by 10, and 10 pencils is $1.25

Step-by-step explanation:

Answer: all my caculations are leading me to B

Answer:

I think its either C or D. Hope this helps, give brainliest if correct!

Answer:

7 should be the answer. on the calculator I got 7.26 but you need the simplified answer

Answer:

24 minutes

Step-by-step explanation:

You must divide the total gallons by the rate of how many are draining.

This will give you the answer 24.

Answer:

24 minutes

Step-by-step explanation:

5 times 24=120

so since every 5 gallons it takes a minute it would be 24 min

Answer:

I suppose that the event here is selecting randomly a shoe.

We know that there are 246 shoes in the store, and 198 of them are women's shoes.

Then there are 246 - 198 = 48 shoes that are not women's shoes.

This means that if the event is something like "finding randomly a women's shoe"

The complement would be "selecting randomly a shoe which is not a women's shoe"

And there will be 48 outcomes that meet this condition.

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y intercept

y and x in the equation represent the coordinate points (3,1)

so substituting,

y = -2x + b

1 = -2(3) + b

1 = -6 + b

b = 7

so the final equation is,

y = -2x + 7

Answer:

I didn't get the qs clearly.... And what they really asked us to do

Answer:

ask can you drive it?

Step-by-step explanation:

Answer: Your answer would be C) 32.1%

Step-by-step explanation:

With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)

Have a wonderful rest of your day!

Answer:

Remember you have to find the coefficient between age

Step-by-step explanation:

Answer:

P(at least 4)  = 0.74431

Step-by-step explanation:

Here

Probability of the flights on time is = 70% = 70/100= 0.7

q= 0.3

n= 6

As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.

P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135

P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526

P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P

P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729

P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206

P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535

P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522

Probability of at least 4 means that probability of greater than 4 inclusive of 4.

This can be obtained in two ways.

First is by subtracting the probabilities of less than 4.

Second is by adding probabilities greater than 4 including 4.

We get the same answer with any of the two methods used.

P(at least 4) = 1- P(x<4)

                     = 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]

                     = 1- 0.25569

                       = 0.74431

P (at least 4) = P(x=4) +P(X=5) + P(x=6)

                        =0.324135+ 0.302526+ 0.117649

                        =0.74431

Answer:

-3

Step-by-step explanation:

-3 is your answer

Answer:

y=-1/2x+1

Step-by-step explanation:

2x+4y=16

4y=-2x+16

y=-1/2x+4

y=mx+b, m=-1/2, x=4, y=-1

-1=(-1/2)(4)+b

-1=-2+b

1=b

y=-1/2x+1

Answer:

c. 2

Step-by-step explanation:

-y=-2x+8

I hope this helps

Answer:

im horrible at this kinda stuff-but is it 18......? ive always been bad-so if im wrong-dont get mad-

Step-by-step explanation:

happy new year!

Answer:

4years

Step-by-step explanation:

Let the present age of Mark be x

Let the present age of Max be y

Five years ago

Mark = x-5

Max = y - 5

If mark was twice as old as Max, then;

x - 5 = 2(y-5)

x-5 = 2y - 10

x-2y = -10+5

x - 2y = -5 ... 1

In three years,

mark = x+3

Max = y+3

Now if Max's age will be 2/3 that of Mark, then;

x+3 = 2/3(y+3)

3(x+3) = 2(y+3)

3x + 9 = 2y+6

3x-2y = -3 .... 2

Solve 1 and 2 simultaneously

x - 2y = -5 ... 1

3x-2y = -3 .... 2

From 1: x = -5 + 2y

Substitute into 2:

3(-5+2y) - 2y = -3

-15 + 6y - 2y = -3

-15 + 4y = -3

4y = -3 + 15

4y = 12

y = 3

Recall thet x = -5+2y

x = -5+2(3)

x = -5 + 6

x = 1

The sum of their ages will be x+y

x+y = 1+3

x+y = 4

Hence the sum of their ages now is 4years

Answer:

hoped to convince the United States to stay out of World War II

Explanation:

just took the quiz :)

Answer:

Wanted to support one another in conquering Europe and Asia

Step-by-step explanation:

Answer:   $1.68 per pair of socks

Step-by-step explanation:

16.80- 10 = 1.68

Step-by-step explanation:

7x+10=6x+4(-3+3x)

7x+10=6x-12+12x

7x-6x-12x=-12-10

-11x=-22

x=-22/-11

x=2

..sorry if the answer is wrong