Answer:
[tex]\frac{b^{4} }{a}[/tex]
Step-by-step explanation:
[tex]\frac{a^{3}b^{5} }{a^{4}b }[/tex] is the equation we need to simplify. In order to do this, we must remember what these exponents mean.
[tex]\frac{a^{3}b^{5} }{a^{4}b }[/tex] = [tex]\frac{aaabbbbb}{aaaab}[/tex]
Now, we see that we can divide and cancel.
[tex]\frac{aaabbbbb}{aaaab}[/tex] = [tex]\frac{bbbb}{a}[/tex] = [tex]\frac{b^{4} }{a}[/tex]
Another way we can solve this is by knowing that exponents in the denominator become negative when we move them to the numerator:
[tex]\frac{a^{3}b^{5} }{a^{4}b }[/tex] = [tex]a^{3}b^{5}a^{-4}b^{-1}[/tex] = [tex]a^{-1}b^{4}[/tex] = [tex]\frac{b^4}{a}[/tex]
In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m
Answer:
CDE = 10
Step-by-step explanation:
in parallelogram, adjacent angle are supplementary.
A+ B = 180
100 + B = 180
B = 180 - 100
B = 18
E ≅ B
E = 80
EC⊥ DC
DCE = 90
in ΔDCE,
DCE + CED + CDE= 180 {Angle sum property of triangle}
90 + 80 + CDE = 180
170 + CDE = 180
CDE = 180 - 170
CDE = 10
Hope this helps! :)
PLEASE HELP !!!
Jim rolls a fair dice 54 times.
How many times would Jim expect to roll an even number?
please delete my answer it was wrong I don't want to get a point for the wrong answer. I want other people that have the right answer to get the points. (my answer: 1/54)
Answer: 27
Step-by-step explanation:
It’s soooo correct
In a department store a $40 dress is marked save 25%.You also pay a 7% sales tax. What is the sale price of the dress?
Answer:
$32.1
Step-by-step explanation:
First find out what 25% of 40 is:
$40 x .25 = $10
Take the answer and subtract that from the original price:
$40 - $10 = $30
Next, take the sales tax (7% or 0.07) and multiply that by the new price:
$30 x 0.07 = $2.1
Lastly, take the answer and add that to the new price:
$30 + $2.1 = $32.1
Then you would get your answer:
$32.1
Given V = 60 volts of an outlet in a select country, and I= 0.5 amps are being pulled to the 60 watt bulb, solve V = IR in terms of R, and substitute the given quantities.
Answer:
120 ohms
Step-by-step explanation:
Given data
Voltage= 60 volts
Current= 0.5 amps
Power of bulb= 60 watt
We know that from Ohms law
V= IR
Make R subject of the formula
R= V/I
R= 60/0.5
R= 120 ohms
Hence the resistance is 120ohms
who ever knows what 12×75 is I'll give brainliest
Answer:
900
Step-by-step explanation:
Answer:
Answer: 12×75
= 900
Step-by-step explanation:
Hope this helps
Bradley had 25 baseball cards in his collection. He receives x number of baseball cards for his birthday.
Enter an equation that represents the total number of baseball cards, y, Bradley now has in his collection.
Answer:
my friends last name is bradley
Step-by-step explanation:
Name the multiplication property shown the equation 12 • m = m • 12.
A.Commutative B.Associative
C.Identity D. Distributive
Answer:
a. commutative
Step-by-step explanation:
rearranging of elements in an equation
what's the ratio of suns to planets
Answer:
200 billion to 700 quintillion planets
Step-by-step explanation:
I hope this helps :)
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.
Round your answer to the nearest tenth if necessary.
K
19
J
58
O
N
42
H
Answer:
OL = 128.2
Step-by-step explanation:
If the two quadrilaterals are similar, the ratio of their corresponding sides are equal;
Thus;
KJ/KH = NO/OL
19/42 = 58/OL
OL = (42 * 58)/19
OL = 128.2
Please help me!
I am confused
Answer:
Step-by-step explanation:
A line is expressed as y=mx+b where m=slope and b=y intercept. As long as we have two points we can solve the equation of that line.
y=mx+b
For the top line I found two points (5,200) and (30,325)
m=(y2-y1)/(x2-x1)=(325-200)/(30-5)=125/25=5
y=5x+b, using point (5,200) we can solve for b
200=5(5)+b, b=200-25=175 so the line is
y=5x+175
For the bottom line we have points (5,50) and 10,100)
m=(100-50)/(10-5)=50/5=10
y=10x+b, using point (5,50) we have
50=10(5)+b, b=50-50=0 so
y=10x
What is 500 time 200 i konw it do you
Answer:
100,000
Step-by-step explanation:
Please help me it would help a lot
Answer:
x=11°
<Bec = 33°
<Ced = 39°
Step-by-step explanation:
That's a right angle so it would be 90 degrees angle.
18+3x+4x-5=90
Lets simplify it to make it easier to work out by collecting like terms.
First all the variable 3x+4x=7x
Then the numbers 18+-5=13
13(-13)+7x = 90(-13)take away 13 from both sides
(Opposite operators EG, Add becomes subtract)
7x = 77 then divide 7 from both sides
x=11
Then work out
3x11=33 degrees
4x11=44-5=39 degrees
To double check 39+33+18=90 degrees
Look at the answer below
Answer:
D = 18 miles
Step-by-step explanation:
The coordinate of a library = (4,3)
The coordinate of the school = (-5,3)
We need to find the distance between the library and the school. We can use the distance formula i.e.
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(-5-4)^2+(3-3)^2}\\\\=\sqrt{81}\\\\=9\ miles[/tex]
As the distance between each unit represents 2 miles. It means the distance is 2(9) = 18 miles
So, the correct option is (c).
An emergency room (ER) nurse noticed that there are an unusually high number of motor-vehicle accident injuries in the month of December. She pulled 1000 random ER patient files from December and found that 120 of those patients were admitted due to motor-vehicle injuries. Based on this information, the nurse can estimate that _[blank]_ patients of the total 40,000 ER patients seen in December were admitted due to motor-vehicle injuries.
Enter your answer as the number that correctly fills in the blank in the previous paragraph
4800 patients
Step-by-step explanation:
120 of 1000 means 12%
12% of 40000 is 4800
Which statements describe key features of function f?
Dustin computed his family's road trip as
4.43 x 103 miles. How many miles did
Dustin's family travel on the road trip?
Answer:
456.29 miles
Step-by-step explanation:
Hope this helps!
Please help me with this one
Answer:
70
Step-by-step explanation:
since you are solving for the middle angle, you solve for the average for both angles on the side
(112+28)/2=70
x=70
Hope that helps :)
A center with 100 children must have a play are how large?
Well-designed child care centers typically have approximately 100 square feet per child of space in the overall center. So for example, a center proposing to serve 80 children would be likely to need a building that has about 8,000 square feet of total space available.
Expand 2(b + 6 ) can somone please tell me the anwnser
Answer: 2b+12
Step-by-step explanation:
Because the number is in front of the bracket you have to times everything in the bracket by the number on the outside.
So,
2 times b is 2b
And
2 times 6 is 12
So it would be 2b+12
D is between Cand E. CE = 8x + 5.
CD = 4x + 1. DE = 6x. Find the length
of CE.
E
C с
D
Answer:
CE = 21 units
Step-by-step explanation:
Since, D is between Cand E (C - D - E)
Therefore,
CE = CD + DE
8x + 5 = 4x + 1 + 6x
8x + 5 = 10x + 1
8x - 10x = 1 - 5
-2x = - 4
2x = 4
x = 4/2
x = 2
CE = 8x + 5 = 8*2 + 5 = 16 + 5 = 21 units
A student in the sophomore class has an equal chance of being in room 1, 2, 3, 4, or 5 for any of her six classes. What is the probability that she will be in room 3 for at least one class?
a.0.80
b.0.74
c.0.26
d.0.14
Answer:
b might be correct
Step-by-step explanation:
I hope this helps
PLEASE HELP 76 POINTS! Please answer both questions, giving brainliest to correct answer.
Answer:
2 5/6 ft
Step-by-step explanation:
Paul perimeter = 4 1/2+6+3 1/3+3 1/3+6 = 23 1/6 ft
Ian perimeter = 2(8+5) = 26 ft
26-23 1/6 = 2 5/6 ft
Answer:
It’s c. B)))))
Step-by-step explanation:
HELP ME PLS!!!
Thank you!
Solve for x. Round to the nearest hundredth.
At the store, Jan bought 1.25 pounds of roast beef, 2 pounds of ham, and 0.8 pounds of
turkey. How many pounds of deli meat did Jan buy in all?
Answer:
4.05
Step-by-step explanation:
1.25+2+0.8
3.25+0.8
4.05
Answer:
4.05
Step-by-step explanation:
did the math
Help me please with this question
Answer:
P=152
A=79
Step-by-step explanation:
add all the sides
PLEASE HELP!!!! The class was given this problem and asked to solve for "x". Craig says that x = 11/cos(37). Laura disagrees and says that x = 11/sin(53). Who (if anyone) is correct?
Answer:
both
Step-by-step explanation:
they are both correct. sin and cosine are complements (90-x) of each other ( that's where cosine gets its name).
Find the area of the figure.
A regular pentagon with sides each measuring 6 inches is dilated by a scale factor of 3.1. What is the length of each side of the dilated pentagon?
Answer:
18.6inches
Step-by-step explanation:
Given the length of a side of a pentagon to be 6 inches.
If this length is dilated by a factor of 3.1, the new length will be;
New length = Old length * dilation factor
New length = 6 * 3.1
New length = 18.6inches
Hence the length of each side of the dilated pentagon is 18.6inches
What is the gcf of 18 and 9?
Answer:
The GCF is 9
Step-by-step explanation:
9=1,3,9
18=1,2,3,6,9,18