If a= 5^99 x 2^98 and b= 5^72 x 4^38 show ab has 172 digits when written as a ordinary number
This is a proof question. Please show step by step.
Step-by-step explanation:
ab
= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)
= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²
= 2¹⁷⁴ * 5¹⁷¹
= 2³ * (2¹⁷¹ * 5¹⁷¹).
The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.
And there is a 8 infront as 2³ = 8.
Hence altogether there are 171 + 1 = 172 digits.
Simplify:
12+(-38) + 27
A.-77
B. -53
C. - 1
D. 1
E 77
Answer: the answer is 1
Step-by-step explanation: just simplify it
2+8
PLSSS HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
10
Step-by-step explanation
2 + 8= 10
Answer:
10
Step-by-step explanation:
2 + 8 = 10
Number line:
5-6-7-8-9-10-11-12-13
Move to the right 2 spaces and you get 10.
Yesterday Cindy did of her homework. Today she did
another of her homework. How much of her homework
did she finish?
(-3, 1), (-17, 2) find the slope show the work
Answer:
1/-14 or -0.071428571428571
Step-by-step explanation
(-3,1) ___ -3 is x1 while 1 is y1
(-17, 2) ___ -17 is x2 while 2 is y2
slope formula is m = y2-y1/x2-x1
plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571
-2√ 20 + 3√ -18
I need help with the steps pls
Answer:
−4√5+9i√2
Step-by-step explanation:
You will get that when you simplify each term
A number is 3 more than 2nd number, the sum of the two numbers is 17. Find the
numbers.
literally putting this at 45 points. can someone help me please
Answer:
15.4%Step-by-step explanation:
Volume of a cylinder:
V = πr²hContainer A
r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ftContainer B
r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²After pump out the container A has the level of:
1100π - 931π = 169πLevel % in the container A:
169π/1100π×100% = 15.4% rounded to the nearest tenthWhat’s the probability?
Answer:
sorry I don't know
Step-by-step explanation:
OK
OK jsjzjxjxndzkxk
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PLZ MARK ME AD BRAINLIST
Which is the equation and there’s a line that passes to the point to (-4,4) and is parallel to the line Y equals 1/2 X -4
Y=2x+12
Y=1/5x-10
Y=-2x+5
Y=-4x-5
math question trignometry
Answer:
the answer is none of these
Step-by-step explanation:
So far, Charlie has driven 9.3 miles. He needs to drive a total of 29 miles. How many more miles must Charlie drive?
please help meeeeeeeeeeeee
Answer:
x=75
Step-by-step explanation:
The total degrees of a pentagon is 540
120+120+2(75)+75+75
120+120=240
2(75)=150
75+75=150
240+150+150=540
30% of $40 is blank money
Answer:
12
Step-by-step explanation:
30% is 0.3, 40 x 0.3 . is 12 :DD
Write an equation for the line that passes through
(2,7) and (-1,-8)
Answer:
slope = 5
y intercept = -3
Equation = y=5x-3
Step-by-step explanation:
-8-7/(-1-2)=5
plug in a point to find y intercept
7=5(2)+b
solve for b
b=-3
write final equation:
y=5x-3
(can I get brainliest please)
hello can you answer these?
Answer:
The first one is C
Step-by-step explanation:
The ramp is equal to 180
180-6 = 174
find x intercept if y=-5x+60
Answer:
-12 bla bla bla bla bla bla bla
Which expression is equivalent to 4^-2 x 7^-2
Answer:
197/49-2x
Step-by-step explanation:
Imelda jogs 2 3/4 miles each weekday, Monday through Friday. On Saturday, she logs 2.5 times the daily weekday distance. On Sunday she jogs 3/4 of the daily weekday distance.
How many miles does Imelda jog on all 7 days combined?
Answer: 22.6875 miles
Step-by-step explanation:
Monday = 2 3/4 miles = 2.75 miles
Tuesday = 2.75 miles
Wednesday = 2.75 miles
Thursday = 2.75 miles
Friday = 2.75 miles
Saturday = 2.5 × 2.75 = 6.875 miles
Sunday = 0.75 × 2.75 = 2.0625 miles
Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles
Total = 22.6875 miles
Karissa earns $200 per week plus $25 per item she sells. Which
equation models the relationship between her pay p per week and the
number of items n she sells?
A. p = 200n + 25
C. n = 25p + 200
B. p = 25n + 200
D. n = 200p + 25
Answer:
Step-by-step explanation:
p=200+25(n)
100 POINTS PLEASE HELP!!!!
Problem solving Reasoning The perimeter of an equilateral triangle is 17 cm less than the
perimeter of a rectangle.
The length of one side of the triangle is 5 cm.
a
a Construct an equation for the perimeter of the rectangle.
b What is the perimeter of the rectangle?
You put 5 points not 100, just saying, haha.
How do I find the surface area?
A. Find the perimeter of all 6 sides and add it together.
B. Find the area of all 6 sides and add it together.
C. Find the length of each side and add it together.
Answer:
B.Find the area of all 6 sides and add it together
Step-by-step explanation:
The answer is B.Find the area of all 6 sides and add it together
Surface area is the sum of the areas of all faces
what is 69/4 as a fraction
Answer:
17 1/4
Step-by-step explanation:
69/4 is already a fraction but we can turn it into a mixed number.
69/4 → 69 ÷ 4 → 17.25 or 17 1/4
Best of Luck!
Answer:
you mean Decimal 17.25
Step-by-step explanation:
Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Note: 1 pound is about 0.45 kilograms.
Answer:
The baby weighs less then the watermelon.
Step-by-step explanation:
The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon.
The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon. the baby weighs less than the watermelon.
Does the point (-3,-1) lie on the line with the equation y = 10 - 3x ? Be sure to show your work.
Replace x in the equation with the x value from the point and solve. If the equation equals the y value from the point the point lies in the line, if it doesn’t equal the y value then it doesn’t lie on the line.
Y = 10 -3(-3) = 10 + 9 = 19
19 doesn’t equal -1 so the point does not lie on the line.
Consider the sequence 100, 95, 90, 85, 80, 75 ...
What is the value of f(8)?
Answer:
f(8) = 65
Step-by-step explanation:
Find a pattern in the sequence. It might be an arithmetic sequence (always adds or subtract by a certain number), or a geometric sequence (always multiplies or divides by a certain number).
To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.
• 100 - 95 = 5
• 95 - 90 = 5
• 90 - 85 = 5
• 85 - 80 = 5
• 80 - 75 = 5
Now, we know that this is an arithmetic sequence, and the common difference is 5.
To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.
• f(1) = 100
• f(2) = 95
• f(3) = 90
......
• f(7) = 70
• f(8) = 65
blank ÷ 3/7= 7/15.
Answer:
1 4/45
Step-by-step explanation:
What is the slope of a line that is parallel to the graph of the equation y = 10x - 20?
Answer:
y parallel =10 or 10
Step-by-step explanation:
Which sentence is written correctly?
O A
No one know who hid the book in the desk.
OB.
Whoever sent me flowers are my new best friend.
O C.
Everyone is invited to Anne's party next week.
OD. All of my friends is going to the big dance.
Solve the inequality.. 8a + 2(1- 5a) ≤ 20 Please helpp
and thank you!
Answer:
brainleist
Step-by-step explanation:
Answer:
8a+2(1−5a)≤20. 8a+2−10a≤20. 8a−10a+2−2≤20−2. −2a≤18. −2a÷−2≥18÷−2. a≥−9.
Step-by-step explanation: