I need help with #1 & #2

Answer:

388.79 (nearest hundredth)

Step-by-step explanation:

Given sequence:  324, 54, 9, ...

Therefore:

[tex]a_1=324[/tex]

[tex]r=\textsf{common ratio}=\dfrac{54}{324}=\dfrac16[/tex]

Sum of a finite geometric series:

[tex]S_n=\dfrac{a_1-a_1r^n}{1-r}[/tex]

Sum of the first 6 terms → n= 6:

[tex]\begin{aligned}S_6 & =\dfrac{324-324(\frac16)^6}{1-\frac16}\\ & =\dfrac{324-\frac{1}{144}}{1-\frac16}\\ & =\dfrac{9331}{24}\\ & = 388.79\:\textsf{(nearest hundredth)}\end{aligned}[/tex]

So

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a-ar^n}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-324(1/6)^6}{1-1/6}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-\dfrac{1}{12^2}}{\dfrac{5}{6}}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{9331}{24}=388.79[/tex]

Answer:

A) -5/2

Step-by-step explanation:

Parallel lines have same slope.

Answer:

See below

Step-by-step explanation:

you want kg/m^3    so just divide

    420 kg / 7 m^3 = 60 kg/m^3

Answer:

B. 6π[tex]\sqrt{2}[/tex]

Step-by-step explanation:

If you look at the help image I attached, what we are given is in RED and what we solve is in BLUE.

First, draw a diagonal in the square. Its length is the diameter, but we don't know the exact value. Since two right triangles have been created, we use Pythagorean Therom to solve for the hypotenuse/diameter:

[tex]a^2+b^2=c^2\\6^2+6^2=c^2[/tex]

[tex]\sqrt{36+36} =c[/tex]

[tex]6\sqrt{2}=c[/tex]

If diameter = [tex]6\sqrt{2}[/tex], then radius is  [tex]\frac{6\sqrt{2}}{2}[/tex]  or  [tex]3\sqrt{2}[/tex]

Circumference = 2πr

2π ([tex]3\sqrt{2}[/tex])

6π[tex]\sqrt{2}[/tex]

I hope this helps!

Answer:

[B] [tex]y=log_3x[/tex]

Step-by-step explanation:

Given:

[tex]y=3^x[/tex]

Exchange the variables:

[tex]x=3^y[/tex]

Putting the variable y on the left side of the equation:

[tex]3^y=x[/tex]

Applying the logarithm properties:

[tex]y=log_3(x)[/tex]

Thus,

[tex]f^-^1=log_3(x)[/tex]

Hence, the answer is [B] [tex]y=log_3x[/tex]

~lenvy~

Answer:

Step-by-step explanation:

The given relations can be written as two equations in two unknowns. These can be solved by any of the ususal methods.

__

Let v and b represent the numbers of vans and buses used, respectively.

  v + b = 24 . . . . . 24 vehicles were taken

  8v +43b = 752 . . . . 752 students were transported

__

Perhaps the easiest solution is that afforded by a graphing calculator. It shows the solution to be ...

  v = 8 . . . . vans required

  b = 16 . . . . buses required

__

You can eliminate the v variable by subtracting 8 times the first equation from the second.

  (8v +43b) -8(v +b) = (752) -8(24)

  35b = 560 . . . . . simplify

  b = 16 . . . . . . divide by 35

  v = 24 -16 = 8 . . . . . find v from the first equation

They had to take 8 vans and 16 buses.

Answer:

Hi I believe the answer is A I hope this helps.

Step-by-step explanation:

4x-2=-8

12^-8

Answer:

A. 12⁻⁸

Step-by-step explanation:

When an exponent is applied to a number which already contains an exponent, they should be multiplied.

The answer is A.

Answer:

An apple costs $2? lol thats crazy

Answer:

8 , 6 , 12

Step-by-step explanation:

Answer:

4 dollars

Step-by-step explanation:

12 divided by 3 is 4

Step-by-step explanation:

Volume of a cone = 1/3 x π x r^2 x h

= 1/3 x 3.14 x (8)^2 x (18)

= 1/3 x 3.14 x 64 x 18

= 1/3 x 3.14 x 1,152

= 1/3 x 3.14 x 1,152

= 1,205.76

= 1,205.8 m^3

*Note*: Alter the pi according to the question always.

Answer:

Step-by-step explanation:

                multiplying the first bracket with the second (step by step)

          = 1( 5z + 8z^2 - z^3) +2z ( 5z + 8^2 - z^3 )+3z^3 (5z + 8^2- z^3)

          = 5z + 8z^2 - z^3 + 10z^2 + 16z^3 - 2z^4 + 15z^4 + 24z^5 -3z^6

          =5z + 16z^2 + 15z^3 + 17z^4 + 24z^5 -3z^6

The final volume of the ideal gas is 10.02 liters.

Given Initial volume V₁=10 liters

Initial temperature T₁=404K

Initial pressure P₁ = 36 pascals

Final volume = V₂

Final temperature T₂ = 450K

Final pressure P₂ =40 pascals

The ideal gas equation with usual notations is given by:

[tex]\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}[/tex]

So, [tex]\frac{36*10}{404} =\frac{40*V_2}{450}[/tex]

[tex]V_2=[/tex]10.02 liters

Hence, the final volume of the ideal gas is 10.02 liters.

To get more about the ideal gas visit:

https://brainly.com/question/20348074

Answer:

10 liters

Step-by-step explanation:

Step-by-step explanation:

option B

Cos theta is positive and sin theta is negative in quadrant IV

[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]

We have to find opposite side using Pythagorean theorem.

x² + 4² = 5²

x² + 16 = 25

       x² = 25- 16

       x² = 9

       [tex]\sf x =\sqrt{9}\\\\x = 3[/tex]

[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]

[tex]\text{Given that, }\\\\~~~~~~~~~\sin \theta = \dfrac 35\\\\\implies \sin^2 \theta = \dfrac 9{25}\\\\\implies 2\sin^2 \theta = 2 \times\dfrac{9}{25}\\\\\implies 1-\cos 2\theta = \dfrac{18}{25}\\\\\implies \cos 2\theta = 1-\dfrac{18}{25}\\\\\implies \cos 2 \theta = \dfrac 7{25}[/tex]

The value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.

Normally distributed data is the distribution of probability which is symmetric about the mean.

The confidence level is 95% when finding the margin of error for the mean of a normally distributed population from a sample.

The critical z score value for the confidence level of 95% is 1.96 and +1.96 standard deviation.

Thus, the value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.

Learn more about the normally distributed data here;

https://brainly.com/question/6587992

Answer:

1.96

Step-by-step explanation:

its 1.96 or c on edge 2020

Answer:

A

Step-by-step explanation:

Answer:

640,000

Step-by-step explanation:

took test

Answer:

B

Step-by-step explanation:

Edge 2022

Step-by-step explanation then the answer:

Hey there, I think this question may be a circle all. So the questions with the answer (quotient) being in the hundreds place would be A, D, and E. Those all have quotients in the hundreds place.

Answer:

Measure of <z would 125 degrees

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

Answer:

Please tell me what this means.

The bouncy ball follows a geometric sequence or pattern

The given parameters are:

The distance at rebound n is represented as:

Hn = a * r^n

At the 5th time, we have:

H5 = 16 * 0.25^5

Evaluate

H5 = 0.015625

Hence, the distance of rebound the 5th time is 0.015625 ft

To do this, we calculate H1 to H5

So, we have:

H1 = 16 * 0.25^1 = 4

H2 = 16 * 0.25^2 = 1

H3 = 16 * 0.25^3 = 0.25

H4 = 16 * 0.25^4 = 0.0625

H5 = 0.015625

Add this distances

Total = 4 + 1 + 0.25 + 0.0625 + 0.015625

Total = 5.328125

Hence, the total distance the ball has travelled after this time is 5.328125

See attachment for the picture

Read more about geometric sequence at:

https://brainly.com/question/24643676

Answer:

x = 79.6

Step-by-step explanation:

[tex] \sin( 0) = \frac{opp}{hyp} [/tex]

↓

[tex] \sin(31) = \frac{41}{x} [/tex]

↓

[tex]x = \frac{41}{sin31} [/tex]

↓

x = 79.6

Answer: [tex]13^0=1[/tex]

Step-by-step explanation:

Logarithms are in the format [tex]log_{b} a=c[/tex] while exponential form is in the format [tex]b^c=a[/tex]

So we can transfer a,b, and c from the log form to the exponential form

[tex]log_{13} 1=0\\\\13^0=1[/tex]

Answer:

They are not

Step-by-step explanation:

Check the attached photo out