Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]
Step-by-step explanation:
Here we need to use the property:
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
We have the expression:
[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]
We can separate it in parts with the same base, then we can rewrite this as:
[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]
Using the first property we can rewrite this as:
[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]
Lisa and Maria were baking oatmeal cookies. Lisa baked 24 cookies on Friday and 36 on Saturday. Maria baked the same amount of cookies that Lisa baked on Saturday. How many cookies did they bake altogether?
Answer:
96 cookies.
Step-by-step explanation:
I don't love the wording of the question, but here's what I see:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 36
Cookie total: 96
-----------------------------------------------------
I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.
If 96 is the wrong answer, then try:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 60
Cookie total: 120
A shipping crate has a volume of 96 ft' and holds 12 cube-
shaped boxes. What is the surface area of one of the boxes?
Answer:
8 sorry if its wrong
Step-by-step explanation:
Answer:
24 ft²
Step-by-step explanation:
find volume for single cube
[tex]96 \div 12 = 8[/tex]
find length of side
[tex] \sqrt[3]{8} = 2[/tex]
find area of single surface
[tex]2 \times 2 = 4[/tex]
surfaces each cube = 6
so the total of surfaces area
[tex]4 \times 6 = 24[/tex]
please answer thanks xoxo will mark brainliest
Answer:
22) 20000000
23) 0.034
24) 0.0000000015
25) 59000000000
26) 0.0048
27) 625000
Step-by-step explanation:
If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks
Answer:
D 150 thats easy multiply or add
What is the multiplier?
A. 0.123
B. 0.111
C. 9
D. 81
Answer:
it is eather d or b
Step-by-step explanation:
How do we check for proportionality in tables?
A Pick 2 pairs from the table
B Cross multiply
C Divide
D All of the above
(1.3x + 2.4) + (-6.1x – 3.2)
Step-by-step explanation:
In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8
or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.
A pot holds 324 milliliters of water. How many liters will 19 pots hold? (2 points) 6.156 liters 6,156 liters 61.56 liters 615.6 liters
Answer:
the pot needs now 214 milleters of water
Step-by-step explanation:
Calculate the missing measure in the triangle 35º and 85º
Answer:
60º
Step-by-step explanation:
180º-35º-85º=60º
please helppp will give brainliest
Answer:
[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.
Step-by-step explanation:
Dividing a fraction is the same as multiplying the reciprocal of the second fraction.
[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]
[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex] Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.
So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .
I hope this makes sense!! ^-^
PLEASE HURRY, THANK YOU!!!!
Answer:
58+61=119
180-119=61
61 degrees is the answer
Step-by-step explanation:
2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution
Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
Why might Razis method not be a good way to estimate the probability? My team won 18 of their last 20 matches, so the probability that they will win their next match is 18/20 = 90%
Answer:
It is a really idealistic way to estimate probability.
It usually works well for random events where there is no restriction like:
"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.
Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:
P = K*(1/N) = K/N"
Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)
P = 2/6
Now let's go to the case in the problem:
We know that out of the last 20 games, your team won 18.
Then yes, your team won (18/20)*100% = 90% of their played games.
Does this mean tath the probability of winning the next game is 90%?
Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%
Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?
Well no, this makes no sense at all, and this is why this method is not a good way to estimate probability in complex cases like this one.
Apply the Pythagorean Theorem to find the distance between points A and B
WILL GIVE BRAINLIEST!
The length of a side of a square is (6x + 6) km. Find the area of the square in terms of
the variable x. km2
How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
No solution
Step-by-step explanation:
Use substitution
2x+1=2x-1
Subtract 2x on both sides
1= -1
No solution
The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
I got 0.2 but that’s not an option. please help
This is impossible. The answer is 0.2. Tell your teacher about the impossible problem.
A population of a city is 30 000 and decreases 3% each year. If this trend continues. what will the population be after 10 years?
Answer:
22123
Step-by-step explanation:
→ Find the multiplier
3% decrease = 0.97
→ Multiply the population by the multiplier which is to the power of years
30000 × 0.97¹⁰ = 22122.7 = 22123
There is a 0.9987 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $186 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. Complete parts (a) through (c) below.
Parts a through c is missing and it is;
a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?
The value corresponding to surviving the year is $_____.
The value corresponding to not surviving the year is $_____.
b) If the 33-year-old male purchases the policy, what is his expected value?
The expected value is $_____.
c) Can the insurance company expect to make a profit from many such policies? Why?
_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.
Answer:
A) the value that corresponds to surviving the year = - $186
The value corresponding to not surviving the year = $99814
B) μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
Step-by-step explanation:
A) The company charges $186 for insuring. Thus;
Amount paid out = - $186
Therefore, the value that corresponds to surviving the year = - $186
Therefore, the value corresponding to not surviving the year = $100000 - $186
The value corresponding to not surviving the year = $99814
B) since probability that a 31 year old male survives is 0.9987, then;
Probability that a male doesn't survive is;
P(doesn't survive) = 1 - 0.9987
P(doesn't survive) = 0.0013
The expected value is calculated from;
μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)
μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
five less than three time a number is greater than two thrirds of that number
Answer:
3x - 5 > 2/3x
Step-by-step explanation:
HELP giving brainlest and extra points
divide tomato genome and human genome and you'll get
= 0.3
standard form is
3 × 10-¹
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
Help me with this!!!
Answer:
z = 9
Step-by-step explanation:
7z = z + 54
7z - z = 54
6z = 54
z = 54 / 6
z = 9
Please answer right and don’t be a bot
Answer:
its SAS
Step-by-step explanation:
segment ST is is one side then PS and RD is another because of the line across both of those and angle S
The measure of arc BC is ___ degrees.
Answer:
150
Step-by-step explanation:
Please please please please help me
Answer:
for # 1 the answer is B
for the second one i dont know
for the last one the answer is D
Step-by-step explanation:
help help help help help help help help
I believe the answer is (3,4)
Two people share £250 in the ratio 2 : 3 calculate each share
Step-by-step explanation:
Let the shared amount be 2x and 3x Then
2x + 3x = £ 250
5x = £ 250
x =£250/ 5
x = £ 50
Now
2x = 2 *£ 50 = £ 100
3x = 3 * £50 = £150
Hope it will help :)❤
Helllohello help please if you want -
3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e