Do both of them for 50 points

Answer:

n=5

6n^2-15=6(5)^2-15 -> add 15 to both sides

6n^2=6(5)^2 -> divide both sides by 6

n^2=5^2 -> sqr both sides

n=5

The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Given the equation as a model, h(t) =–16t² + 72t.

Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]

Find h(4):

h(t) =–16t² + 72t

h(4) = -16(4)² + 72(4)

h(4) = -256 + 288

h(4) = 32

Find h(3):

h(t) = -16t² + 72t

h(3) = -16(3)² + 72(3)

h(3) = -144 + 216

h(3) = 72

Plug in the value into  [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:

average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]

Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Learn more about average rate of change on:

https://brainly.com/question/11627203

Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.

The percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.

The difference between the measured and analysis of the financial statements might well be defined as an error. For instance, if the two operators use the same complete and precise tool.

We have:

If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.

The radius r = (3350 ± 100) km

As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.

V = (4/3)πr²

The percent error:

= [(experimental value - accepted value)/experimental value]×100

The percent error in volume = 3(100/3350)×100

The percent error in volume = 8.95%

Thus, the percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.

Learn more about the error here:

https://brainly.com/question/22248350

#SPJ2

Answer:

-6/5

Step-by-step explanation:

I hope it helps, bye

Answer:

7x3=21 3x7=21

Answer:

two correct answers are:

1 x 21= 21

3 x 7= 21

Answer:

8 smoothies: 4:6

2 smoothies: 1:1.5, etc.

Answer:

D, E and F

Step-by-step explanation:

Beause y is a point. It is a prime example physics.

Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.

The equation is:

[tex]y(x) = \frac{9x^2}{x + 2}[/tex]

The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].

Applying the quotient rule, we have that:

[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]

[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]

[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]

Then, when x = 1:

[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]

The slope of the line tangent to the graph of y at x = 1 is of 5.

You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177

Answer:

<4 corresponds with <8

Step-by-step explanation:

They correspond because they are in the same position relative to the lines.

As you can see, it is in the exterior area and it matches up exactly with the other angle. I attached an example picture of a corresponding angle

Answer:111.94

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

25% = 25/100 = 25 ÷ 100 = 0.25.

100% = 100/100 = 100 ÷ 100 = 1.

New value =

149.25 - Percentage decrease =

149.25 - (25% × 149.25) =

149.25 - 25% × 149.25 =

(1 - 25%) × 149.25 =

(100% - 25%) × 149.25 =

75% × 149.25 =

75 ÷ 100 × 149.25 =

75 × 149.25 ÷ 100 =

11,193.75 ÷ 100 =

111.9375 ≈

111.94

Answer:

3/16

Step-by-step explanation:

start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2

then set up your equation:

3/2 x 1/8

you do the resipricol of one of the numbers so instead of 8/1 we do 1/8

3 times 1= 3

2 times 8 is 16

3/16 does not simplify so thats your answer

Answer:

3/16

Step-by-step explanation:

((1 1/2)/8)=(3/2)/8

8 times 2(demoninator)=16

numerator stays same so the answer is 3/16

Answer:

read step-by-step explanation

Step-by-step explanation:

it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100

Answer:

7 × 8

Step-by-step explanation:

7 number of students × 8 books each student has 7 × 8 = 56

Answer:

12 students

Step-by-step explanation:

30×0.4=12.

Answer:

Step-by-step explanation:

There are multiple ways to do this, but I'll go with the first one I learned and the simplest.

So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.

Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b

By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.

Answer:

the first one

Step-by-step explanation:

plz give brainliest

Answer:

The 16 ounces at 1.76.

Step-by-step explanation:

Divide total cost by the quantity to get cost per unit.

Ounces Cost Cost/Ounce

60      5.40          0.09  

28      2.24          0.08  

16       1.76           0.11  

For this case, the first thing we should do is write the linear function that best suits the table.

In this case we have the following function:

y = 7.5x - 5

C = 7.5t-5

For C = 100 we have:

100 = 7.5t-5

We clear the time:

t = (100 + 5) / (7.5)

t = 14

Answer:

it did take the pizza to reach 100 degrees Celsius about 14 minutes

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

Answer:

Step-by-step explanation:

Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.

  2 -7n for n=0 is 2 -7·0 = 2

  2 -7n for n=1 is 2 -7·1 = -5

The series of the last choice (d) is correct.

__

The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...

  an = 3(-5)^(n -1)

We want to find n for an = -234,375.

  -234375 = 3(-5)^(n-1)

  -78125 = (-5)^(n-1)

For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...

  78125 = 5^(n -1)

Taking logs of both sides, we get ...

  log(78125) = (n -1)·log(5)

  log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)

  n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate

-234,375 is the 8th term of the sequence.

Answer:

6 is a whole number.

[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.

Answer:

1/10, 0.4, 1/2

Step-by-step explanation:

Answer:

1/10      0.4        1/2

Step-by-step explanation:

1/10 = 0.1

0.4 = 0.4

1/2 = 0.5

therefore 0.1  0.4  0.5

The population of the bacteria after 7 hours is 230 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 200 bacteria, hence

a = 200

The bacteria grow at a rate of 2% per hour, hence:

b = 100% + 2% = 1.02

The exponential equation becomes:

y = 200(1.02)ˣ

After 7 hours:

y = 200(1.02)⁷ = 230

The population of the bacteria after 7 hours is 230 bacteria.

Find out more at: https://brainly.com/question/12490064

Answer:

yes-

Step-by-step explanation:

im not to sure if its right but

7+7=14

12+12=24

337.5 miles, or 337 miles!

Answer: It will be able to travel 162 miles

Step-by-step explanation:

Hello! Please mark Brainliest for the explanation!

Answer:

Area: 10 inches

Step-by-step explanation:

As the paper itself states, the area of a triangle would be

1/2bh

Simply plug the given values in!

1/2(5)(4) =

1/2(20)=

10

Have a wonderful day!

Answer:

Area  = 10 units

Skills needed: Triangle Theory, Substitution of Values

Step-by-step explanation:

1) We are given that the formula to finding the area of the triangle is [tex]\frac{1}{2}bh[/tex].... this essentially means that it is:  [tex]\frac{1}{2}[/tex] times base (b) times height (h)

2) We can then use substitution to solve this. IN the diagram shown there, 4 is the base, and the height is 5 (since b = base, and h = height).

Area is [tex]\frac{1}{2} * b * h[/tex] in general (the * means multiplication)

Substitute in the values and it is: [tex]\frac{1}{2} * 4 * 5[/tex]

--> [tex]4*5=20[/tex]

--> [tex]\frac{1}{2} * 4*5 = \frac{1}{2} * 20 = 10[/tex]

1/2 of 20 is ten, so that is how we arrive at that final answer.

Hope you understand, have a great day :)

Answer:

86493225

Step-by-step explanation:

Hope it helps

Answer:

3/3 is a whole so I believe it would be the whole number line