After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?

Answer:

  A.  20·60

Step-by-step explanation:

The product of force and distance is ...

  [tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]

he would have to practice 20 minutes on friday

18 + 23 + 16 + 13 = 70

1.5 hours = 90 minutes

90-70 = 20 minutes

2/9

we have cos135° = -√2/2

so B is the correct answer

ok done. Thank to me :>

Answer:

13/8-3/4. LCM=2×2×2=8

= find the LCM of the denominators. 2 8 4

= 13 -6 /8 2. 4. 2

= 7/8 2 2. 1

; 1. 1

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

[tex]\large\bold{Equation:}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

2nd step: Divide both sides by 4p+3

[tex]\large\bold{Answer:}[/tex]

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

How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

[tex] \: \: \: \: \: [/tex]

x = - 12

refer to the attachment

[tex]\sf \longmapsto-6 = x + 6[/tex]

[tex]\sf \longmapsto \: x+6=−6[/tex]

[tex]\sf \longmapsto \: x+6−6=−6−6[/tex]

[tex]\sf \longmapsto \: x=−12[/tex]

[tex] \boxed{ \sf \: x=−12}[/tex]

Answer:

I=Prt

(I= interest

P=principle amount

r=rate per year in decimal form

t=time period)

●I = Prt

I = 8000×(2/100)×6

I = 8000×0.02×6

I =$960

BRAINLIST PLS

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

The given parameters are:

[tex]\mathbf{a =10000}[/tex] --- the initial population

[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate

Population are always modelled using exponential function.

This is represented as:

[tex]\mathbf{y = a(1 - r)^x}[/tex]

Where y represents the population in x years.

So, we have:

[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]

[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]

[tex]\mathbf{y = 10000(0.997)^x}[/tex]

When the population reaches half, then y = 5000.

So, we have:

[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = 0.997^x}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]

Apply law of logarithm

[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]

Make x the subject

[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]

[tex]\mathbf{x = 230.7}[/tex]

This means that the population will become half the original population in 230.7 years.

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

Read more about exponential function at:

https://brainly.com/question/11487261

Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:

12,222 votes

Step-by-step explanation:

7 x 3492= 24,444

24,444/2= 12,222

Steve has 12,222 votes.

Answer:

$29.88

Step-by-step explanation:

$12.45 / 5

$2.95 each pound

2.95 * 12

29.88

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!

Answer:

pap

Step-by-step explanation:

papi

Answer:

1184 mL (148×8)= 1.184 liters

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

you need to know the slope of the line -2x + 3y = -6 because parallel lines have the same slopes

let's put the equation in y=mx+b format (slope-intercept format)

-2x + 3y = -6

add 2x to each side to get:

3y = 2x - 6

divide each side by 3 to get:

y = 2/3x - 2

the equation now shows us the slope is 2/3 and the y-intercept is (0,-2)

now we use y=mx+b again and use the point (-2,0) and the m=2/3 to get the y-intercept ('b' value) of the equation that is parallel:

0 = 2/3(-2) + b

0 = -4/3 + b

b = 4/3

equation would be:

y = 2/3x + 4/3

5⅔ = ...

= (3 × 5 + 2)/3

= (15 + 2)/3

= 17/3

[tex] \: [/tex]

4 - 3/2 = ...

= 4 - 1,5

= 2,5 <==> 2½

[tex]5 \frac{2}{3} [/tex]

[tex]=\frac{5 \times 3 + 2}{3} [/tex]

[tex] = \frac{15 + 2}{3} [/tex]

[tex] = \frac{17}{3}[/tex]

[tex]4 - \frac{3}{2} [/tex]

[tex] = \frac{4}{1} - \frac{3}{2} [/tex]

[tex] = \frac{4 \times 2}{1 \times 2} - \frac{3}{2} [/tex]

[tex] = \frac{8}{2} - \frac{3}{2} [/tex]

[tex] = \frac{8 - 3}{2} [/tex]

[tex]= \frac{5}{2}[/tex]

[tex] = 2 \frac{1}{2} \: \: \: or \: \: \: 2,5[/tex]

They are doing the calculations, we can say that the alternatives are:

A) True

B) False

C) False

D) False

E) True

For this exercise, the equation should be used:

[tex]A(t)=-1.4t+96[/tex]

So analyzing the first given statement we will have to:

[tex]A(t)=-1.4t+96\\t=10\\A(t)=-14+96=82[/tex]

Based on the calculations, this statement is true, for the second statement we will have:

[tex]A(t)=-1.4t+96\\t=15\\A(t)=-21+96=75[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=55\\A(t)=-77+96=19[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=0\\A(t)=96[/tex]

Based on the calculations, this statement is true.

Learn more: brainly.com/question/516840

Answer:

200

Step-by-step explanation:

Answer:

The greatest number is 11

Step-by-step explanation:

It is 11 because 3+3=6+15=21

35-21=14

14/1.25=11.2

hope this helps

Answer:

10

Step-by-step explanation:

E = V + 1/2mv^2

700 = 300 + 1/2*8*v^2

400 = 4v^2

100 = v^2

v = 10

Answer:

y = -2x - 9

Step-by-step explanation:

Slope = - 2

Using the slope = -2 and the point (-6, 3) substitute into y= mx + b and solve for "b"

y = mx + b

3 = -2(-6) + b

3 = 12 + b

3 - 12 = b

-9 = b

The equation of the line is y = -2x - 9

Answer:

x = 4/7

Step-by-step explanation:

7x - 4

7x = 4

x = 4/7

Answer:

yeeeeee

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B is correct 24r11 one ................

If 'r' represents remainder then the correct answer is option A. The quotient is 24 & the remainder is 13.

Steps are in the attachment.

____

RainbowSalt2222 ☔

Answer:

3.2 *10^-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}[/tex]