Answer:
Given equation:
[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]Solving for p:
[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]p - any real number
We can state the initial expression is correct for any value of p.
Answer:
True for all p
Step-by-step explanation:
Given equation:
[tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]
Multiply both sides by [tex]2 \times 3^p[/tex]:
[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]
Add [tex]3^p[/tex] to both sides:
[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]
[tex]\implies 3^{p+1}=3 \times 3^p[/tex]
Rewrite 3 as 3¹:
[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 3^{p+1}=3^{1+p}[/tex]
[tex]\implies 3^{p+1}=3^{p+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies p+1=p+1[/tex]
Subtract 1 from both sides:
[tex]\implies p+1-1=p+1-1[/tex]
[tex]\implies p=p[/tex]
Therefore as both sides are equal, true for all p.
Find the distance between the points U(11, -2), V(-1,3)
Plsss help me with this question!!!
Solve x - (-9) = -14.
-23
23
5
-5
Answer:
Open the brackets for this,
x + 9 = -14
x = -14 - 9
x = -23.
-23 is the correct option.
one-third of the sum of x and 2 as an expression
Answer:
[tex]\frac{1}{3}[/tex](x+2)
Step-by-step explanation:
Hope this helps! :)
Step-by-step explanation:
1) Let the number be x.
2) To find one-third of a number, divide the number by 3 ,
3) x÷3.
if m∠2 = 88° then what does m∠4 = ????
Answer:
176°
Step-by-step explanation:
When or how do you use them to solve for the answer
Answer:
a) Δt = vf - vi ÷ a
b) (a × Δt) + vi = vf
3 please please please help me!
Answer:
look at the photo....................
HELPPP PLEASEEEEEEEEEEEEEEEEEEEEE
x=5.....................
How i did? In livada sunt 12 mere am cules 6. Cate mera au ramas?
Answer:
72
Step-by-step explanation:
12x6=72
x²+10+7=0 by completing the square
Answer:
x=−5+3–√2
x=−5−3–√2
Step-by-step explanation:
A small bookstore sold between 5 and 8 books each day for 7 days. Tell whether the graph is continuous or discrete.
Answer:
i think the answer is contionous
1² x 1/4m² x (-6)ml find the product
[tex]\\ \sf\longmapsto 1^2\times \dfrac{1}{4}m^2[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{4}m^2[/tex]
Now
[tex]\\ \sf\longmapsto \dfrac{1}{4}m^2\times -6m[/tex]
[tex]\\ \sf\longmapsto \dfrac{-6}{4}m^3[/tex]
[tex]\\ \sf\longmapsto \dfrac{-3}{2}m^3[/tex]
In seventh grade, Emile grew 3 9/10cm,and in eight grade he grew 4 2/5cm. How much did his height increase during these two years?
Answer:
8 3/10 cm
Step-by-step explanation:
Add Emile's 7th and 8th grade growth amounts together:
3 9/10 cm
4 4/10 cm (This is equivalent to 4 2/5 cm.)
-----------------
7 13/10 cm, or
8 3/10 cm
Please answer these and find the slope intercept form for each one.
Best answer gets brainliest!
help pls, i will link question with 50 points
1. Y = 4x-7
2. y = -5/4+ 5
3. Y = -2x + 5
4. Y = 6
5. Y = -2/7x+0
6. Y = -1/2x + 15/2
Describe and correct the error.
29. |-13|-|13|
=-13-13
=-26
30. -6(x-5)
=-6x-30
5*95 math question ...................
Answer:
475
Step-by-step explanation:
the reason for this is because it just is
What is the value of x that makes this equation true?
(10 raised to the power of 4) = 10 raised to the power of x
Enter only a number as your answer.
Answer:
pot0tsafgxxgcgcycguchchcui
(9)
2 in
5 in
Perimeter:
Area:
Step-by-step explanation:
The area = 2 × 5 = 10
The perimeter = 2(2 + 5) = 14
please give me a brainliest answer
Freddy bought 3 bags of pebbles to put in his fish tank. Each bag contains 295 pebbles. After he put the right amount of pebbles in his fish tank, he had 104 pebbles left over. How many pebbles did he put in his fish tank?
295 x 3 = 885
885-104 = 781
781 pebbles
I just want to understand what this could be as a fraction and as a decimal?
This morning, Sarah's team started at zero and earned 5 points for perfect attendance. The team lost 10 points for disruptive behavior at lunch. Write an addition equation to describe how many points Sarah's team earned. Give the
sum.
I will mark brainiest plz help
Answer:
96
Step-by-step explanation:
The length of the large rectangle is: 5 units
The width of the large rectangle is: 7 units
- > Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7 units
The width of the middle rectangle is: 4 units
- > Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7 units
The width of the small rectangle is: 3 units
- > Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* 1/2(bh) = 4*3 = 12 square units
Then we find the total surface surface area by adding up all of these
- > 35 + 28 + 21 + 12 = 96 square units
I really need help finding the solution!!
Answer:
-0.5 is not a solution
2 is a solution
Step-by-step explanation:
To check if something is a solution of the equation, you need to substitute the value in place of the variable
15 + 2y = -12 - 4y
15 + 2(-0.5) = -12 - 4(-0.5)
15 - 1 = -12 + 2
14 ≠ -10 ∴ -0.5 is not a solution
5 - 2(3x + 5) = 3 - 10x
5 - 2[3(2) + 5] = 3 - 10(2)
5 - 2(6 + 5) = 3 - 10(2)
5 - 12 - 10 = 3 - 120
-17 = -17 ∴ 2 is a solution
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
0.10
so sorry i couldn't make it a fraction :(
Select ratios that are equivalent to the following: *
18:54
Answer:
Equivalent ratios follow:
9:27
3:9
1:3
5:15
2:6
Find the equivalent expression using the same bases.
(63 · 83)^9
Can someone pls help me with this!!!
Answer:
Step-by-step explanation:
Convergent: Two plates are coming together. This results in one or both edges of the plates to move upwards to form mountains. If one plate is pushed down while the second is pused up, a deep trench may form (ocean trenches). Volcanoes and earthquakes may also form along this boundary. The Pacific "Ring of Fire" is due to convergent plate collisions.
Divergent: Divergent boundaries occur when two plates move away from each other. Earthquakes and volcanoes are common as the growing gap allows magma to comes to the surface. Iceland is divided between the North American and Eurasian plates and this has produced an ever-widenng gap down the center of the country, which is both a major tourist attraction and a source for volcanic activity and numerous hot spring pools. One bridge across this gap is known as the "Bridge Between Continents," and is designed to accomodate the Xcm/year stretch as the continents separate even further.
Transform: Two plates slide past each. The San Andreas fault is one of the more famous. Structures, both natural and man-made, that cross a transform boundary can be split into pieces and moved in opposite directions. Rocks along the boundary are pulverized as the plates grind them. This can result in a linear fault valley or undersea canyon. Earthquakes are common along these faults. Unlike convergent and divergent boundaries, crust is cracked and broken at transform margins, but is not created or destroyed as with convergent and divergent boundaries.
Which identity or property is used during the first step when solving the equation 5 − 8x = 1/2 (4x − 1)
Answer: Distributive Property
Step-by-step explanation:
Answer:
Step-by-step explanation:
5-8x=1/2 (4x-1)
5-8x=2x-1/2
10-16x=4x-1
-16x-4x=-1-10
-20x=-11
x=11/20
Factor Completely. (and please show work)
-10x^2 + 3x + 4
Step-by-step explanation:
=>-10x²+3x+4
=>-10x²-5x+8x+4
=>-5x(2x+1)+4(2x+1)
=>(2x+1)(4-5x)
hope this helps you.