Your teacher must have made a typo somewhere. The expression 5^(2n-1) is not divisible by 8.
The expression 5^(2n-1) is composed of 2n-1 copies of "5" multiplied together. The key here is that 5 is the only unique prime factor of this number.
On the other hand, 8 = 2*2*2 = 2^3 showing that 2 is the only prime factor for this number. At this point, we can see that there's no way that 5^(2n-1) is divisible by 8. It all comes down to the clash of the primes 5 and 2 not matching up, and having nothing in common.
Let's consider a few concrete examples:
If n = 1, then 5^(2n-1) = 5^(2*1-1) = 5^1 = 5 which is not divisible by 8. The number 5/8 = 0.625 isn't an integer.If n = 2, then 5^(2n-1) = 5^(2*2-1) = 5^3 = 125 which is also not a multiple of 8. The number 125/8 = 15.625 isn't an integer.I'll let you try other natural numbers for n, and you'll find that [tex]\frac{5^{2n-1}}{8}[/tex] isn't an integer.
Solve X
5x + 15 = 35
Answer:
x = 4
Step-by-step explanation:
5x + 15 = 35
subtract 15 from each side of the equation:
5x = 20
divide both sides by 5:
x = 4
How many 1 3/4 cup servings are there in a bag of trail mix that contains 6; cups of mix?
ouu that's yo problem boyy
sorry this was a dare.
The equation g=3r represents how much Trevin makes per hour at his job. What is the unit rate?
Answer:
Hope It Help
Brainliest please
Answer:
3
Step-by-step explanation:
The unit rate is a rate with 1 in the denominator. The unit rate for this equation would be how much money he makes in one hour. So, to find the unit rate plugin 1 for r and solve for g. One times three (1*3) is equal to 3; therefore, that is the unit rate.
Can anyone help me with this question?
Answer:
x= -1
Step-by-step explanation:
the answer is x= -1
hope it helps
Which choice is equivalent to the product below?
√3x√5x√6
O A. 3√10
O B. 9√10
O C. 3√5
O D. 10√3
Answer:
D....................
You have two decks of cards and you select a card from each deck. What is the probability to selecting a jack both times?
Answer:
The probability is 1/13 (1 to 13).
Step-by-step explanation:
In a card deck, there are 52 cards with 4 Jacks. If you simplified this probability, the answer would be 1 to 13.
4/52 = 1/13
In two card decks, there are 104 cards with 8 jacks. If you simplified this probability, the answer would also be 1 to 13.
8/104 = 1/13
Find the volume of the rectangular prism.
Write your answer in simplest form.
3/5m
4/9m
2/5 m
Answer:
8/75
Step-by-step explanation:
To find the volume of a rectangular prism you multiply the length, width, and height.
So you do (3/5)*(4/9)*(2/5), and to multiply fractions you multiply the tops by eachother, and then the bottoms by eachother.
So its (3*4*2) over (5*9*5)
which gives you 24/225 which simplifies to 8/75
r3 + 10 = 8(11 + 6)
A.5
B.4
C.3
D.none
help me please
PLEASE HELP ASAP NO LINKS PLEASE An employee works as a veterinary assistant at a clinic making $31,840 per year. However, the clinic is hiring veterinarians at a salary of $72,100 per year. The employee went back to school to become a veterinarian. How much more money could the employee make working as a veterinarian instead of a veterinary assistant over 5 years? Enter your answer in the box.
Answer: 40,260
Step-by-step explanation:
72,100-31,840=40,260
Answer:
201,300
Explanation
I got 100 so no worries
I need help. i cant figure it out. please someone help.
Answer:
Step-by-step explanation:
Answer:
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Help me with this please
Which description best describes the graph
I will give you 35 points and please no random answer if you tried your best that’s ok!
Answer:
I think its always increasing. If u look from the left to the right. Im not sure about the question of this excercise.
Step-by-step explanation:
It starts from negative but if u imagine a triangle on the graph, u can see that the steepness is always positive and getting bigger.
AHH IM BEGGING OMG YOU DONT KNOW HOW IMPORTANT THIS IS I WILL GIVE BRAINLIEST AND I WILL BE FOREVER GREATEFUL PLSSSSS
Owen can type 30 and 2/3 words in 2/35 of a minute. What is his rate in words per minute?
Answer:
Owen can type 536 2/3 per minute
Step-by-step explanation:
let me know if this is wrong
Please show work . . .
Answer:
19.64
the permieter is 5 so 5/2=2.5 2.5x2.5=6.25 6.25x3.14=19.64
The Garcia family drives 3/4 of the distance to their. grandparents house in 3/4 hour. How many hours will it take to drive to their grandparents house at the same rate? A-9/16 B-1. C- 1 7/9
Answer:
B
Step-by-step explanation:
An inspector inspects large truckloads of potatoes to determine the proportion with blemishes prior to using the potatoes to make potato chips. She intends to compute a 95% confidence interval for this proportion. To do so, she selects a simple random sample of 90 potatoes, and finds 12 with blemishes. The 95% confidence interval is (0.063, 0.204). What is the correct interpretation for this confidence interval?
The inspector can be 95% confident that the proportion of potatoes with blemishes is 0.133.
In 95% of samples taken, between 6.3% and 20.4% of the sampled potatoes would have blemishes.
The inspector can be 95% confident that the interval from 0.063 to 0.204 captures the proportion of all potatoes on the truck with blemishes.
There is a 5% probability that the proportion of all potatoes that have blemishes is either below 0.063 or above 0.204.
Answer:
The inspector can be 95% confident that the interval from 0.063 to 0.204 captures the proportion of all potatoes on the truck with blemishes.
Step-by-step explanation:
Answer:
i put my answer there sorry if its sloppy
Step-by-step explanation:
giving brainliest, find the volume ty ty
Answer:
B. 414.5Formula:
radius (r^2) pi (π) height/3
Multiply pi times 6^2 times 11 over 3.
(Incase you don't know, ^2 means an exponent)
(π) (6^2) (11/3) = 414.5I hope this helped!+*♡
2. A bottle of water contains 40 fluid ounces of water. How many pints of water does the bottle
contain?
F. 2 pints
G. 3 pints
H. 1.75 pints
J. 2.5 pints
2(3v - 8)
please help xxxxxxxxxxxxxxxxxxxxxxxxxx
Answer: 6 v − 16
Step-by-step explanation:
1) Mary and Frank have two bags in front of them. Mary's bag has 4 Inarbles; blue, yellow, red
and green. Frank's bag has 3 marbles; purple, orange, and pink. They will pick from their bag
at the same time. What is the probability of Mary selecting red from her bag and Frank selecting
purple from his bag? Use a sample space to support your answer.
Answer:
25% chance that Mary gets red, 33.3333333% chance that Frank gets purple.
Step-by-step explanation:
area of a regular hexagon with an apothem of 15 cm
Answer:
area = 779.4 cm²
Step-by-step explanation:
divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.
tan 60° = 15/x
1.7321 = 15/x
x = 8.66 (this is one-half of the base of the triangle)
base = 17.32 cm
area of one triangle = 1/2(17.32)(15) = 129.9 cm²
129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)
Find the intercepts of the linear function: -3 = 3y – 3.2
Answer:
The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)
Step-by-step explanation:
To find the y-intercept, set x = 0 (which is the y-axis) and find y:
-3 = 3y - 3.2
Add 3.2 to both sides, to isolate 3y:
0.2 = 3y
Dividing both sides by 3 yields y = 0.06667
The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)
please answer these 5 questions:). (for a practice test graph photo up above) (question 9) use the graph to find the slope and y-intercept. (question 10) steve started with $50 and saved $20 each week. what is the equation when y represents the amount of savings and x represents weeks? how much will steve have after 4 weeks? (question 11) brittany started with $300 and spent $40 per week. what is the equation when y represents savings and x represents weeks? how much will brittany have after 4 weeks? (question 12) convert to slope-intercept form. -5/8x - 1/2y = 1 (question 13) convert to slope-intercept form. 9 + 3x = 6y
Answer:
9. slope: 1/2 y-int: -4
10. y=20x+50
11. y=-40x+300
12. i dnt know
13.9/6+3/6x=y or 1.5+0.5=y
Step-by-step explanation:
10. starts at 50, goes up by 20 per week
11. starts at 300, goes down 40 per week
13.
9+3x=6y
9/6+3/6x=y or 1.5+0.5=y
Find the Perimeter
8 cm
|-0-00
5 cm
4 cm-
Answer:
The perimeter of the triangle is 34 cm
Step-by-step explanation:
Here, we want to find the perimeter of the triangle
This is simply the sum of the side lengths
mathematically, the distance of two lines from a point touching the circle is the same
so, on the other sides, we have the missing sides as;
5cm, 4 cm and 8 cm
So the perimeter will be;
4cm + 5cm + 8 cm + 4 cm + 8 cm + 5 cm = 34 cm
Pablo grew a plant for school and recorded the growth of the plant
each week. He wrote ordered pairs to organize his data: (1, 5), (2, 8),
(3, 8), (4, 11), (5, 15).
Is this relation a function? Explain.
Answer:
Yes. the relation is a function
Step-by-step explanation:
Here, we want to check if the relation is a function
if a relation is a function, then every x-values (input values) will have one y-value
No two output values (y values) will have a single x value
Looking at the pairs;
It is a function
Although two x values have same y value; 2 and 3 to 8; no two y values have same x value
Hence, the ordered pairs is a function
Evaluate the following: 18 + 3 |6 - 25| - 11
Answer:
29
Step-by-step explanation:
18+3|6-25|-11
21+19-11
29
I need help geometry !
someone please help me
(22 + 15.50 + 2.75) 15
(22 * 15) + (15.50 * 15) + (2.75 * 15)
it's all on the picture please answer
PLEASE ANSWER WILL GIVE BRAINLIEST
50 POINTS
approximate the solutions to this system.
y = 3x2 + x − 6
y = x − 4
Round your answers to the nearest hundredth.
Answer:
Its actually y=-4.82 but ok
Step-by-step explanation:
Daria makes and sells stuffed toys she uses special fabric to cover a funky to make a number two how much fabric did Daria use to make this number cube
The question is incomplete as the side lengtb of the cube isn't given. Taking the side length to b
be a value, x
Answer:
Step-by-step explanation:
Given that :
The side length = x
To obtain the amount of fabric which would be required for covering the funky, we Obtian the total surface area of the foam. Cube.
Using he relation :
Surface area of a cube = 6 * s² ; the side length s = x
Surface area = 6 * x².
Hypothetically,
Let x = 7 cm
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