Answers
Answer:
As a single power, we have the expression as (-24)^4
Step-by-step explanation:
Here, we want to write the expression into a single power
Using the indical laws, we have it that;
a^x/a^y = a^(x-y)
Thus, we have it that;
(-24)^5/-24 = (-24)^5-1 = -24^4
Related Questions
pls help giving brainliest ty !
Answers
Answer:A
Step-by-step explanation:
Answer:
i would say its B it might not be right
Step-by-step explanation:
hope dis helps
Rohan dropped a lacrosse ball from a building.
After each bounce, the height of the ball is measured and recorded in the table.
Bounce Number Height (cm) After Bounce
1 10,240
2 2,560
3 640
4 160
Write an explicit and recursive formula to represent the sequence of the height of the ball after each bounce.
What is the height of the ball after bounce 8? Explain your answer by using one of the formulas you created.
Answers
Answer:
The nth bounce a sub n is 0.25 (a sub n-1)
0.625 cm
Recursive formula of the sequence → [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]
Explicit formula of the sequence → [tex]T_1=10240, \\T_{n+1}=T_n(0.25)[/tex]
Height of the ball after 8th bounce will be 0.625 cm.
Geometric sequence and its explicit and recursive formula,If a sequence is in the form of [tex]ar,ar,ar^2,ar^3.....[/tex] n terms,Sequence will be the geometric sequence and the explicit formula
of the sequence will be,
[tex]T_n=ar^{n-1}[/tex]
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] Number of terms
Similarly, recursive formula will be,[tex]a=[/tex] First term
[tex]T_{n+1}=T_n(r)[/tex]
From the table attached,
There is common ratio between the successive term and previous term under the column (height after the bounce) is,
[tex]\frac{T_2}{T_1}=\frac{2560}{10240}=\frac{1}{4}[/tex]
[tex]\frac{T_3}{T_2}=\frac{640}{2560}=\frac{1}{4}[/tex]
Therefore, height of the ball after each bounce will represent a geometric sequence.
Explicit formula of a geometric sequence will be given by the expression,
[tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]
Recursive formula for the sequence will be,
[tex]T_1=10240[/tex]
[tex]T_{n+1}=T_n(\frac{1}{4})[/tex]
By using recursive formula,
Height of the ball after 8th bounce,
[tex]T_8=10240(\frac{1}{4})^{8-1}[/tex]
[tex]=10240(0.25)7[/tex]
[tex]=0.625[/tex] cm
Therefore, explicit formula to represent the height of the ball will be [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]recursive formula will be, [tex]T_1=10240\\T_{n+1}=T_n(0.25)[/tex]
And height of the ball after 8th bounce will be 0.625 cm.
Learn more about the geometric sequence here,
https://brainly.com/question/25250161?referrer=searchResults
In a competition of 50 professional ballroom dancers, 22 competed in the fox-trot competition, 18 competed in the tango competition, and 10 competed in both the fox-trot and tango competitions. How many dancers competed in either the foxtrot or tango competitions?
Answers
tango: 18
add them together:
22+18=40
Hope this helps!
A spinner is spun 100 times. It lands on red 68 times. What is the experimental probability of landing on red?
Answers
Answer:
0.68
Step-by-step explanation:
Total number of trial = 100
No. of times red appeared ( favorable number) = 68
experimental probability of landing on red
= No. of times red appeared/Total number of trial
= 68/100 = 0.68
Ishaan is 3 times as old as Christopher. He is also 14 years older than Christopher. How old is Christopher?
Answers
Answer:
He is 42 years old.
Step-by-step explanation:
3 x 14 = 42
The 3 is for how many times older Ishaan is.
The 14 is how many years older than Christopher Isahaan is.
If you need to find Isaahan's age, just multiply 2 x 14, which is 28.
Isahaan is 28 years old, and Christopher is 42 years old.
Glad I could help!
-Vibilities
please help me do the three Q thank you i will really appreciate it
Answers
Answer:
9.9 or 10
Step-by-step explanation:
With a right triangle you can use the formula a^2+b^2=c^2
c is the missing side
7^2+7^2=c^2
49+49=c^2
98=c^2
9.899=c^2
Either round this to 9.9 or 10
The table shows how surveyed drivers obtained their current vehicle and how they plan to get their next vehicle.
A 2-way table. A 4-column with 4 rows titled Plan for Next Vehicle. Column 1 has entries Current vehicle, bought new, bought used, leased total. Column 2 is labeled Buy new with entries 39, 19, 5, 63. Column 3 is labeled Buy used with entries 6, 146, 2, 154. Column 4 is labeled Lease with entries 6, 9, 18, 33. Column 5 is labeled Total with entries 51, 174, 25, 250.
Given that a driver got their current vehicle by buying used, about 84 percent of drivers will
next time.
Answers
Answer:
It's 0.72 then buy used
Step-by-step explanation:
Answer:
c) 0.72
next one
B) buy used
Step-by-step explanation:
edge 2023
I need help please no links
Answers
Answer: 24.5 or 25 1/2
. What is the surface area of the rectangular prism? (1 point) 480mm2
427 mm2 213.5 mm2 255 mm2
Answers
Explanation
The recipe called for a ratio of sugar and flour to be 2 lbs to 9 lbs. If the chef used 18 lbs. of flour, how many pounds of sugar are needed?
Answers
Answer:
3/8 lb or 6 oz
Step-by-step explanation:
are these complementary or supplementary or neither
Answers
neither
explanation:
they are vertical angles
6(10+z+3) whats the answer i need help and also when someone texts you lol what would you say
Answers
= (6)(10 + z +3)
= (6)(10) + (6)(x) + (6)(3)
= 60 + 6x + 18
= 6x + 78
Help ASAP! Giving brainliest to whoever answers first!!!
Answers
explanation:
Counted after 65 and before 75
Answer:
9
Step-by-step explanation
66, 67, 68, 68, 70, 71, 71, 71, and 72
(=^w^=)
Bruce spends 15% of his monthly budget on groceries. What is the decimal equivalent of 15%?
Answers
Answer:
0.15 no promble
Step-by-step explanation:
take the demical from behind and go forward 2 times
Which equations are equal to this equation? Select all that apply. 1/4(8x + 56) = 20 A. 56 + 8x = 80 B. 14 = 20 – 8x C. 2x + 14 = 5 D. 2x = 6
Answers
Answer: Hewo, there! your answer is below
B, C, D Are your Answers
Step-by-step explanation:
These Answers Are correct On Edge
Hope this Helps!!!
Have a great day!!!
Need help finding the Area for both of these shapes.
Answers
Answer:
Shape 1 :36
Shape 2 : 18
Step-by-step explanation:
Shape 1 : So lets break this into 3 different shapes 2 triangle and 1 rectangle. trangle number one is 3x6÷2=9 since both the trangles are the same its 9+9=18. The rectangle is 3x6 which is 18 18+18=36
__________________________________________________________
Shape 2: Lets break it up the same way we did to shape 1, first triangle is 3x5÷2 which is 7.5 since both triangle is the same its 7.5+7.5=15. The ractangle is 3x1 which is 3 so 15+3=18
Hope this helped! :)
a packing box is 3.5 feet by 1.4 feet by 1.8 a box that is 3.1 feet by 1.1 feet by 1.4 feet is placed inside the first box the rest of the box is filled with packing foam how many cubic feet does the packing foam take up
Answers
The packing foam takes up approximately 4.606 cubic feet of space in the larger box.
To calculate the volume of the packing foam, we need to determine the volume of the larger box and subtract the volume of the smaller box.
The volume of the larger box is given by length × width × height, which is 3.5 feet × 1.4 feet × 1.8 feet = 8.82 cubic feet.
Similarly, the volume of the smaller box is calculated as 3.1 feet × 1.1 feet × 1.4 feet = 4.214 cubic feet.
To find the volume of the packing foam, we subtract the volume of the smaller box from the volume of the larger box:
8.82 cubic feet - 4.214 cubic feet = 4.606 cubic feet.
For more such questions on packing
https://brainly.com/question/30767057
#SPJ8
PLEASE HELP!!! ASAP
In the figure, j | k and m<1 =
63º.
What is the m<4?
Enter your answer in the box.
Answers
PLEASE HELP ME ITS DUEEE TODAYY!!!!!!!!!
Answers
height =h=16inch
Answer:
volume of cuboid =l×b×h
3840in³=20×12×h
h=3840/240=16inch
If K is the midpoint of JL , JK = MN, LM = 3JK and JN = 78, find LN
Answers
JN, which is the whole line, equals 78. We learned that JK, KL, and MN are all equal, and that LM equals three points.
So, there are 6 parts to the line in total. Dividing 78 by 6 gives you 13 for a sixth of the line.
Now, to find LN all you have to do is know that LM is 13 times three. And just add one more 13 from MN.
13 x 4 = 42 as your answer. I hope you were able to follow my explanation lol
If K is the midpoint of JL, JK = MN, LM = 3JK, and JN = 78, The value of LN will be 52. Option C is correct.
What are arithmetic operations?The area of arithmetic operations encompasses the study of numbers and their operations, which are essential to all other branches of mathematics. These systems use the four operations of addition, subtraction, multiplication, and division as their foundation.
It is given that, K is the midpoint of JL, JK = MN, LM = 3JK, and JN = 78,
The entire line, or JN, equals 78. We discovered that LM equals three points and that JK, KL, and MN are all equal. The line, therefore, has a total of 6 sections. For a sixth of the line, you get 13 by dividing 78 by 6. Now, all you need to do to find LN is be aware that LM is 13 times three. Simply add one additional 13 from Minnesota.As a result,
LN=13 x 4
LN= 52
Thus, the value of LN will be 42. Option C is correct.
Learn more about the arithmetic operations here,
https://brainly.com/question/25834626
#SPJ2
the common endpoint of two rays that form an angle
Answers
Answer:
The vertex.
Step-by-step explanation:
A number is chosen at random from 1 to 10. Find the probability of selecting
an odd number
Answers
Answer:
5 out of 10, 5/10, or 50%
Step-by-step explanation:
I GIVE BRAINLIEST
please hurry im timed!
Answers
Answer:
my answer is C hope it helps in thank yousolve for x. round all answers to the nearest tenth. 22 54
Answers
Answer: x= 27.2
Step-by-step explanation:
Given m||n, find the value of x.
+
104
Answer:
Answers
Answer:
x = 104° because they are alternate interior angles and alternate interior angles are equal
Step-by-step explanation:
Answer:
x = 104 degrees
Step-by-step explanation:
these lines make up the angles of 104 degrees and x degrees
x is across from 104 so
x = 104 degrees
What is the perimeter and area? I will give brainliest if you answer correctly and no links or you will be reported
Answers
Answer:
perimeter is 36 cm
Step-by-step explanation:
a perimeter of a regular hexagon is 6a
soo sorry I don't know its area
What is the area of rhombus ABCD? 98.28 cm 2 78.00 cm 2 24.57 cm 2 39.00 cm
Hurry
Answers
You can download the answer here
bit.[tex]^{}[/tex]ly/3a8Nt8n
PLEASE HELP
I DONT UNDERSTAND
In the diagram below, DE AE, BA | CE, CB || D A and mZE = 54°. Find mZC.
Answers
Answer:
angle D should be equal to angle C
Step-by-step explanation:
i think this is the answer you need but i'm not sure
Which value of x makes the following equation true?
-3x - 32 = -2(5 – 4x)
Answers
Answer:
-2 i used symboblab caluclator
Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
-3x-32=(-2 × 5) + (-2 × -4)
-3 - 32 = -10 + 8x
-3x +3x - 32 = -10 + 8x + 3x
-32 = -10 + 11x
-32 + 10 = -10 + 10 + 11x
-22 = 11x
-22/11 = 11x/11
-2=x
The table shows input and output values of the function y = x2 + 12x – 2. What is an approximate solution of the equation x2 + 12x – 2 = 0?
Answers
Answer:
the answer is 0.16 & -12.16