How does 5 x(2)^n-1 simplify to 5/2 x (2)^n ?
Please help me

Answers

Answer 1

9514 1404 393

Explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

__

  [tex]5\times2^{n-1}=5\times(2^n)(2^{-1})=5\times2^n\times\dfrac{1}{2}=\boxed{\dfrac{5}{2}\times2^n}[/tex]


Related Questions

What number is half way between 60 and 110

Answers

Answer:

85

Step-by-step explanation:

85 is half way between 60 and 110.

Half way means the middle point from where both the point are at equal distance.

Given two numbers as follows:

Number1=60

Number2=110

To calculate a half way number between two number as follows:

=(Number1+Number2)/2

=(60+110)/2

=85

To check weater 85 is half way between 60 and 110

subtract 60 from 85 we get 25

subtract 85 from 110 we get 25

Thus both the numbers are  25 units away from 85.

So, 85 is half way between 60 and 110.

Learn more about half way, here:

https://brainly.com/question/31081254

#SPJ3

HELP ME PLEASE!!!!!!!!!!!!!!!! You have to figure out whether its undefined or zero

Answers

It’s an undefined slope:)

Answer:

It's an undefined slope

The tip for excellent service in a restaurant is $25 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $75 meal?

A. $25

B. $93.75

C. $125

D. $100

Answers

the answer is B. 93.75

Which of the following best describes the slope of the line below?

Answers

Answer:

c.positive

Step-by-step explanation:

what is 829.085 rounded to the nearest hundredth

Answers

Answer:

829.09

Step-by-step explanation:

Hope this helps :)

Which set of data would most likely show no correlation when graphed
on a scatterplot?

Answers

Answer: A) there is no direct correlation

Step-by-step explanation:

What does the formula of an ionic compound tell you?

Answers

The overall ionic formula for a compound must be electrically neutral, meaning it has no charge. When writing the formula for the ionic compound, the cation comes first, followed by the anion, both with numeric subscripts to indicate the number of atoms of each.

Hurry!! pls answer!! Rewrite this exponential equation as a logarithmic equation.
4e1
=
16

Answers

It should be log_e(4)=x
Hello friend I am sending this answer

Find the measurement of the following angle.

Plz I need help

Answers

Answer:

<ABC = 51°

Step-by-step explanation:

Given

<A = 2x -15°

<B = x - 5°

< C = 148°

Now

<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

2x -15° + x - 5° = 148°

3x - 20° = 148°

3x = 148° +20°

3x = 168°

x = 168° / 3

X = 56°

Now for Angle B

= 56° - 5°

= 51°

Hope it helps :)

Use the given information to determine if TU ||QS.
Answer with a simple yes or no.

Answers

Answer:

I would pick no, because when u do the math

pls help will give brainiest
A boat leaves a dock and travels 5 miles due south, then 12 miles due west. How far is the boat from the dock?

Answers

13. C is too short but D is too long. I don’t think you are supposed to add the numbers together either

Plot the points (-3, 4)(−3,4)left parenthesis, minus, 3, comma, 4, right parenthesis and (4, 4)(4,4)left parenthesis, 4, comma, 4, right parenthesis on the coordinate plane below

Answers

Answer:

The image shows the points on a coordinate axis.

Step-by-step explanation:

The first point is [tex](-3,4)[/tex].

This means that the point on the [tex]x[/tex] axis is [tex]-3[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the second quadrant.

The second point is [tex](4,4)[/tex].

This means that the point on the [tex]x[/tex] axis is [tex]4[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the first quadrant.

The image shows the points on a coordinate axis.

Answer:

7 UNITS

Step-by-step explanation:

YW :D

I need help with homework​

Answers

Answer:

C

Step-by-step explanation:

Point C is on the x-axis.

Answer:

c

Step-by-step explanation:

the x axis is labeled

x axis is always horizontal (think the horizon)

y axis is always vertical

20.Les membres de la famille Veilleur sont en vacances, le premier pour, **
partent de Québec et vont a Montreal (250 km), puis au Parc proina
Sandbanks (385,8 km), en Ontario, ou ils passent les 4 jours sants. Ensuite,
ils quittent le parc pour se rendre aux chunes du Niagara (245 Akm), ou
passent le reste de la journée, le lendemain, la famille prend la roue vers
Pittsburgh (389km) afin de visiter des amis, elle y reste 5 jours en tout
(incluant la journée sur la route).
Pour rentrer à la maison, les Veilleux choisissent un kinéraire plus direct de
1 227 km qu'ils parcourent en 2 jours, en faisant la moitié du trajet chausse
jour. Leur voiture consomme en moyenne 6,7 L d'essence par 100 km, ale
cout moyen de l'essence est de 1,22S le titre. Tout au long du voyage, Charles
Veilleux note plusieurs informations dans son journal de bord,
Aide Charles à compléter son journal.
Journal de bord
Quantité totale d'essence consommée
(arrondie à l'unité pres)
Nombre de jours du voyage:
Distance parcourue pour aller à Pittsburgh:
coût total de l'essence:
Coût moyen de l'essence consommée
par jour (arrondi au centieme pres):
Distance parcourue par jour pour le retour:
Distance totale parcourue durant les vacances:​

Answers

Answer:

Quantité totale d'essence consommée:  167 litres (arrondie à l'unité pres)

Nombre de jours du voyage: 12 jours (je pense! Je ne comprends pas "jours sants" ? Suivants? )

Distance parcourue pour aller à Pittsburgh: 1269.8 km

coût total de l'essence: $ 204.11

Coût moyen de l'essence consommée par jour (arrondi au centieme pres): $17.01

Distance parcourue par jour pour le retour:  613.5 km

Distance totale parcourue durant les vacances:​ 2496.8 km

Step-by-step explanation:

Jour 1 Montreal à Parc Sandbanks

2,3,4,5 Parc Provincal Sandbanks

6,7,8,9,10  Pittsburgh

11,12 Pittsburgh à Quebec

Distance: ajouter les numéros jours par jour.

Essence consommée: 6.7 litres pre 100, donc diviser la distance totale par 100  puis multiplier par litres par km

2496.8/100 = 24.968 × 6.7 = 167.2856  et arrondir le total: 167.3

Coût total de l'essence: Il faut multiplier le total consommée par la coût par litre, $1.22  167.3×1.22 = $204.11

Coût moyen de l'essence consommée par jour:  $204.11 ÷ 12 jours = $17.01/jour

Distance parcourue par jour pour le retour: 1227km/2days = 613.5 km/jour

Distance totale parcourue durant les vacances:​ Ajoutez les distances journalières parcourues à Pittsburgh à la distance de retour  à Quebec.

1269.8 + 1227 = 2469.8 km

given h(x) =2x+2, solve for x when h(x) =4​

Answers

Answer:

x = 1

Step-by-step explanation:

h(x) =2x+2    h(x) = 4

4 = 2x + 2

4 - 2 = 2x

2 = 2x

x = 2/2

x = 1

please help........ ​

Answers

x = √(10²+24²)

= √(100+576)

=√(676)

= 26.

Answer:

26

Step-by-step explanation:

since wz is a tangent to the circle then measure angle wzy equal 90° so you will be using Pythagoras therom then X = (24)^2 + (10)^2 all under a square root as it's a hypotenuse

DESPRATE WILL GIVE BRAINLIST AND THANKS
To which set of numbers does −1.2 belong?


integers

whole numbers

natural numbers

rational numbers

Answers

I believe it belongs to rational numbers.

A group of friends is going to a baseball game. A general admission ticket to the game costs $9.00. A ticket for a fan club member costs $6.00. The expression 9x + 6y models the cost for the entire group of friends. Which is the meaning of the term, 9x?

Answers

Answer:

See explanation!

Step-by-step explanation:

The term 9x is comprised of two values: 9 and x. The 9 represents the cost of the general admission tickets. Since the expression is representing the total cost for the group of friends, the number of friends attending must be represented somehow in the equation. Since the $9 is paired with the x, this means that x represents how many of the friends are paying the general admission price. After interpreting both values within the term, the meaning of the term 9x is simply just the total cost of the friends that are paying the general admission price! Hope this helps!

Imagine your family agreed to give you some pocket money every day for a month! How do you want to get paid? Pick one from the following options and post your choice in the discussion board. Make sure you state why you chose your option.

Option 1: $10.00 every day

Option 2: $3.00 on the first day, $3.50 on the second, $4.00 on the third, and so on, increasing by $0.50 per day.

Option 3: $0.01 on the first day, $0.02 on the second, $0.04 on the third, and so on, doubling each day.

Answers

option 2 or three cuz one is too simple

Answer:

Option 1 because it will be easier to keep up with since you'e getting the same amount every day.

Step-by-step explanation:

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

6.65 liters

Step-by-step explanation:

.95 liters multiplied by 7 equals

How many inches are in a hundred and forty seven miles?

Answers

Answer:

There are 9,313,920 inches in 147 miles

Step-by-step explanation:

Answer:imagine googling the answer U-U couldnt be me, i dont even have an answer

Step-by-step explanation:

im dum :)

( im just gonna give myself a 5 star rating cuz im cool like that >:P

A map is drawn using a scale of 1cm/80 mi
Two cities are 280 miles apart
How far apart are the cities on the map?

Answers

Answer:

280/80 = 28/8 = 7/2 = 3.5 cm

Step-by-step explanation:

the ratio is 1cm/80mi = a cm/280mi

so you get 280cm * mi = 80mi*a cm

so a = 280/80 = 3.5  

The trip from Carville to Planesborough takes 4 hours when traveling at a constant speed of 70 miles per hour. 2 1 How long, in hours, does the trip take when traveling at a constant speed of 60 miles per hour?

Answers

Answer:

2.5 mph

Step-by-step explanation:

70 miles per hour :4 hours

35 miles per hour:8 hours

1 mile per hour:16 hours

60 miler per hour

do 16/6

2.5 hours

у+ 4 = -4(х+2) what is this in standard form?​

Answers

Answer:

4x + y = -12

Step-by-step explanation:

Standard form is Ax + By = C

First, distribute the -4:

у + 4 = -4(х + 2)

y + 4 = -4x - 8

Subtract 4 from both sides:

y = -4x - 12

Add 4x to both sides:

4x + y = -12

So, the standard form equation is 4x + y = -12

ASAP!! plzz help! thanks​

Answers

i believe the answer is C. natural numbers are positive while numbers

You earn $28 for washing 4 cars. How much do you earn for washing 3 cars?

Answers

Answer:

21 dollars

Step-by-step explanation:

Answer:

$21

Step-by-step explanation:

Make the original statement into a ratio.

$28/4

Simplify the fraction above.

$28/4 = 7

So, you earn $7 per car you wash.

As a result, you multiply $7 by the number of cars the question is asking you for. In this case it is 3 cars.

So, you multiply 7 x 3

7 x 3 = 21

Therefore, you will earn $21 for washing 3 cars.

find the length of the missing side. write your answer in simplest radical form!

Answers

Answer:

D

Step-by-step explanation:

10² + 14² = -17.20²

-17.20² = 2sqrt74

Answer:

C 296 ft

Step-by-step explanation:

hypotenuse^2 = side1^2 + side2^2

==> hypotenuse^2 = 10^2 + 14^2

==> hypotenuse^2 = 100 + 196

==> hypotenuse^2 = 296

==> hypotenuse = square root (296)

==> hypotenuse = 17.2046505

The length of the missing side = 296 in radical form

-20 > -2x + 4 inequality

Answers

Step-by-step explanation:

-20 > -2x + 4

2x > 4 + 20

2x > 24

x > 12

or

x ∈ 《12 , + ∞》

-20 > -2x + 4

-20 -4 > -2x

-24 > -2x

-24/-2 < x  <inequality changes when you divide by a -ve no. >

12 < x

(GIVING BRAINLIEST!!)

A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?

A) 1/40 slice
B) 4 slices
C) 20 slices
D) 40 slices

Answers

Answer:

40 slices

Step-by-step explanation:

one eighth times 8 equals 1 pizza. 8 times 5 is 40

Answer:

there is a total of 40 pizza slices in total

The second of two numbers is two more than the first.
The sum is 40. Find the numbers.

Answers

Answer:

19 + 21 = 40.

Step-by-step explanation:

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