prove that 3 power p + 1 - 3 power P upon 2 multiply 3 power p is equal to 1 ​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

note that [tex]3^{p+1}[/tex] = [tex]3^{p}[/tex] × 3 ( when multiplying exponents are added )

Given

[tex]\frac{3^{p+1}-3^{p} }{2.3^{p} }[/tex] ← factor out [tex]3^{p}[/tex] on numerator

= [tex]\frac{3^{p}(3-1) }{2.3^{p} }[/tex]

= [tex]\frac{2.3^{p} }{2.3^{p} }[/tex]

= 1


Related Questions

Find the product.

(−1/3) x (3/5) x (-5/7)

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{-1}{3}*\dfrac{3}{5}*\dfrac{-5}{7} = \dfrac{(-1)*(-1)}{1*7}=\dfrac{1}{7}[/tex]

4(x)+2 Is -18 what is x

Answers

Answer:

x=-5

Step-by-step explanation:

[tex]4x = - 18 - 2 \\ x = \frac{ - 20}{4} \\ = - 5[/tex]

BESTIEEE I HOPE U CAN GIVE ME BRAINLIEST (╥﹏╥)(╥﹏╥)

4x + 2 = -18

4x = -18 - 2

4x = -20

x = -5

Cheers!!

(20 points)I need help please

Answers

[tex]\text{Suppose the width of the rectangle is }x\text{ cm}[/tex]

[tex]\text{then the perimeter can be expressed as}[/tex]

[tex]2(24+x)=72[/tex]

[tex]24+x=36[/tex]

[tex]x=12[/tex]

[tex]\text{Therefore the area of the rectangle is }24\cdot x=24\cdot 12=288\text{ cm}{}^2[/tex]

Answer: Solution,

length (l) = 24 cm

perimeter (p)= 74 cm

Area (A) = ?

we know,

P = 2(l + b )

74 = 2( 24 + b)

74 = 48 + 2b

2b = 74 - 48

2b = 26

b= [tex]\frac{26}{2}[/tex]

b = 13

now,

A = l*b

   = 24 * 13

   = 312 cm square

Therefore, the area of the rectangle is 312 cm square.

9-3 divided by 1/3+1

Answers

Answer:

1

Step-by-step explanation:

Answer:

i believe the answer is 1

Step-by-step explanation:

what is %*+-fgfghfhfjgjhj

Answers

Answer:

Easy

Step-by-step explanation:

Easy to use and easy to use and easy to use onenote

is fraction a linear equation​

Answers

Answer:

NO

Step-by-step explanation:

We need more than two operations to solve a linear equation . If an equation contains fractions, multiply both sides of the equation by the least common denominator (LCD) to clear fractions.

A house today costs
$300,000. This price will
increase by 95% in
10 years. How much will
the house cost in 10 years?

Answers

Answer:

$585,000. 95% of $300,000 = $285,000. $300,000 + $285,000 = $585,000. hope this helps

Step-by-step explanation:

- Zombie

Step by step!
I need to know how to do this because I’m pretty sure I’m doing this wrong.

Answers

Answer:

150

Step-by-step explanation:

The overall answer should equal 360. 90+90+30=210. That leaves us with x. Try subtracting 360-210=x. :) Hope this helps!

If AB = 4x+4, BC = x - 5 and AC = 19
find x, ab, and bc

Answers

Answer:

AB=x+3;

BC=2x;

AC=4x−5

AB+BC=AC

x+3+2x=4x−5

3x+3=4x−5

x=8.

Step-by-step explanation:

Solve for x Enter your answer, as one inequality,in the box

Answers

Answer:

x= (1,8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3≤ 6x - 9                 Add 9 to both sides

-3 + 9 ≤ 6x               Combine left

6 ≤ 6x                       Divide by 6

6/6 ≤ 6x/6

1 ≤ x

6x - 9 < 39               Add 9 to both sides

6x < 39 + 9              Combine

6x < 48                     Divide by 6

6x/6 < 48/6

x < 8

So the inequality is

1 ≤ x < 8

I think that is what you want. You have to express it as a combined inequality.

Evaluate using inverse operations...

9x + 8 = 27

Answers

Answer:

9x+8=27

9x=27_8

9x=19

9 9

x=2.111111111111

Answer:

2.111

Step-by-step explanation:

27-8=19

9x÷19

x=2.1111

For what values of x is the equation x2−x=20 true?

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

For what values of x is the equation x² − x = 20 true?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: x ^ { 2 } - x = 20[/tex]

Subtract 20 from both sides.

[tex] \sf \: x^{2}-x-20=0 [/tex]

To solve the equation, factor [tex]\sf\: x^{2}-x-20[/tex] using formula [tex]\sf\:x^{2}+\left(a+b\right)x+ab=\left(x+a\right)\left(x+b\right)[/tex]. To find a and b, set up a system to be solved.

[tex] \sf \: a+b=-1 \\ \sf \: ab=-20 [/tex]

As ab is negative, a and b have the opposite signs. As a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -20.

[tex] \sf1,-20 \\ \sf 2,-10 \\ \sf4,-5 [/tex]

Calculate the sum for each pair.

[tex] \sf1-20=-19 \\ \sf2-10=-8 \\ \sf 4-5=-1 [/tex]

The solution is the pair that gives sum -1.

[tex] \sf \: a=-5 \\ \sf \: b=4 [/tex]

Rewrite factored expression [tex]\sf \left(x+a\right)\left(x+b\right) [/tex] using the obtained values.

[tex] \sf\left(x-5\right)\left(x+4\right) [/tex]

To find equation's solutions, solve x-5=0 and x+4=0.

[tex] \bf \: x=5 \\ \bf x=-4[/tex]

⇨ The values of x are 5 & - 4.

What is 2 x 2 ? Plz say fast
Hehe​

Answers

Answer:

It is 5*5*4/25

Hope it helps

haha

Answer:

4

Sana makatulong thanks me later

A submarine is located
at 20 feet below sea
level. It rises 5 feet, but
then descends 18 feet.
What is the depth of
the submarine?

Answers

Step-by-step explanation:

Time taken to travel 20 m = 1 min

Time taken to travel 360m = x min

Refer to the graphic novel frame below. Seth traveled 1 miles in 57.1 secs. About how fast does Seth travel miles per hour?

Answers

In order to find miles per hour we must first change the time given to us (57.1 seconds) into hours. We will do this by first changing the seconds to minutes:

57.1 seconds / 60 = .952 minutes

Now we can change our minutes to hours:

.952 minutes / 60= .016 hours

Now to find miles per hour we divide the miles by our time:

1 mile / .016 hours = 63.04 mph

I hope this help you

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = =x
h(x) = ÷x

Answers

Answer:

[tex]h(x) = \frac{1}{4} x[/tex]

Step-by-step explanation:

[tex]f(x) = 4x[/tex]

[tex]y = 4x[/tex]

[tex]x = 4y[/tex]

[tex]4y = x[/tex]

[tex]y = \frac{1}{4} x[/tex]

[tex]\boxed{\green{h(x) = \frac{1}{4} x}}[/tex]

Find the distance along an arc on the surface of the earth that subtends a central angle of 1 minute(s) (1 minute = 1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places)

Answers

Length of distance of arc = 2πr × (∅/360)

∅ = 1/60 × 360 = 6⁰

Length = 2 × 22/7 × 3960(6/60)

Length = 44/7 × 3960 × 1/10

Length = 44/7 × 396

Length = 2489.142 cm

A clothing store is having a sale on socks each pair of sock are $3 if the store sells 407 pairs of socks how much money will they make

Answers

Answer:

cmon now just multiple 3 x 407, = 1221.

Step-by-step explanation:

Answer :

1 = 3

4 = 12

6 = 18

[17 - 7] × 6 + 2 + 56 - 8

Answers

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

10 × 6 + 2 + 56 - 8

60 + 2 + 56 - 8

62 + 56 - 8

118 - 8

110

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

(10) x 6 + 2 + 56 - 8

60 + 2 + 48

62 + 48

110

Which of the following statements is true?
(A) The greatest prime factor of 18 is 9. (B) The greatest prime factor of 21 is 3.
(C) The greatest prime factor of 4 is 2
(D) The greatest prime factor of 34 is 11.​

Answers

Answer:

C is your answer

Hope this helps

Please help ASAP and explain the answer, thank you

Answers

Answer:

Step-by-step explanation:

1) x² - 8x + 5 = 0

2) No subtract 5 from both sides

x² - 8x + 5 - 5 = 0 - 5

x² - 8x  = -5

3) Now find (8/2) = 4. Add 4² = 16 to both sides

x² - 8x + 16 = -5 + 16

x² - 8x + 16 = 11

4) (x - 4)²  = 11

5) Take square root both sides

x - 4 = ±√11

x = 4 ±√11


S(-4, -6) and T(-7, -3); Find R.

Answers

Answer:

(13,-6)

Step-by-step explanation:

The midpoint is the exact halfway point, so all you need to do is find the distance between those two points and apply it again.

First find the x coordinate. The distance from -9 to 2 is 11. So you add 11 to 2, and you get 13, which is your x coordinate.

Then do the same thing with the y coordinate. And you get -6.

Your endpoint is (13,-6)

How would I plot and label the numbers 6.5 & 8.5 on a number line to write a inequality using the symbol “>” to compare the two numbers

Answers

Answer:

To label 6.5 on a number line, put the plot between the 6 and 7.

Same thing goes for 8.5, except the plot would go between the 8 and 9.

8.5 > 6.5

Step-by-step explanation:

1.) Since 8.5 and 6.5 are decimals, they are not a whole number which is why they go right in the middle of the two numbers they are behind and in front of.

2.) > means greater than, and 6.5 is smaller than 8.5 therefore we use the greater than sign, pointed towards the 8.5.

I hope this helps! :)

help due today please​

Answers

We know that, Two angles are said to be complementary, if the sum of their measures is 90°.

According to the Question,

∠ABD + ∠DBC = 90°

(2x + 30)° + (3x + 20)° = 90°

2x + 30° + 3x + 20° = 90°

5x + 50° = 90°

5x = 90° - 50°

5x = 40°

x = 40°/5

x = 8

So, the measure of each angle will be,

∠ABD = (2x + 30)°

= 2 × 8 + 30°

= 16 + 30°

= 46°

∠DBC = (3x + 20)°

= 3 × 8 + 30°

= 24 + 30°

= 54°

Rút gọn biểu thức sau
√3+2√2 - √5+2√6

Answers

Answer:

-6

Step-by-step explanation:

because it - + 18 + 17 + 19 + 20 answers

solve this equation

-3.3m= -1.1

m=

Answers

Answer:

m = 1/3

Step-by-step explanation:

-3.3m = -1.1

(-3.3/-1.1)m = (-1.1/-1.1)

3m=1

3m/3 = 1/3

m = 1/3

Answer:

Step-by-step explanation:

1/3

NUMBER SENSE Determine which number is greater and which number is farther from 0.
-3.25,
7
#2 i
The greater number is 7
The number farther from O is
Explain your reasoning.
B
1
U
!!!
T
T.

Answers

Step-by-step explanation:

Ok...so yes the greater number is 7 but 7 is also the number farther from zero because when the positives and negatives are ignored, it takes 7 unit spaces to get to 7 whereas it only take 3.25 to get to the negative, making 7 farther from 0 than -3.25.

Answer:

This is wrong .

Step-by-step explanation:

Help math ............​

Answers

The answer is C for 9 and A for 10 I’m sorry if I’m wrong

What is the distance between these two points?

Answers

a very long distance ig

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free throws, find how many free throws she attempted.
a. 3 free throws
b. 7 free throws
c. 21 free throws
d. 4 free throws​

Answers

Answer:

well for Evey 4 completed throws she takes 7 throws

with this ratio we get that;

it's 4:7

there fore

for 12 completed free throws she would take 21 free throws

option c is the answer

hope it's helpful

Answer:

21

Step-by-step explanation:

FreeThrows: FT

Attempted Throws: AT

FT/AT=4/7

12/AT=4/7

84/4=AT

AT=21

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