Answers
Answer:
option A
Step-by-step explanation:
[tex]\frac{x^a}{x^b} = x^{a-b}[/tex] , [tex]z^0 = 1[/tex]
So,
[tex]\frac{18x^5 y}{6xy^8z^0} = \frac{18}{6} \times x^{5 -1} \times y^{1-8} = 3 x^4 \times y^{-7} = \frac{3x^4}{y^7}[/tex]
Related Questions
A swimmer breaks a world record by 0.07 seconds. The old record was 49.51 seconds. What is the swimmer's new world record?
a. 49.58 seconds
b.49.44 seconds
c.48.81 seconds
d.48.58 seconds
Answers
Answer:
B
Step-by-step explanation:
Simply subtract 0.07 from 49.51 too get 49.44.
Hope that this helps!
Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months
A. $16.80
B. $140
C. $168
D. $14
Answers
Answer:
14
Step-by-step explanation:
Which is longer - the radius or the circumference of a circle?
Answers
Answer:
Circumference of a circle
Step-by-step explanation:
The circumference of a circle is longer than its radius of the circle.
- - - - - - - - - - - - - - - - - - - - - - - - -
Answers
Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 = 18
Take the square root of each side
sqrt(x^2) = sqrt(18)
x = ± sqrt(18)
x =±sqrt(9*2)
x = ±sqrt(9) sqrt(2)
x = ±3 sqrt(2)
The volume of this cone is 83.7 cubic meters. Find the DIAMETER. SHOW ALL WORK
Answers
There for the diameter is 2(4.8 )= 9.6 ft
Given: Volume of the cone is 83.7 m³
We know that:
[tex]\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}[/tex]
where r is the radius of the cone and h is the height of the cone
Given: Height of the cone = 5m
Substituting the values in the formula, we get:
[tex]\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times 0.6}[/tex]
[tex]\sf{\implies \pi r^2 = 50.22}[/tex]
[tex]\sf{\implies r^2 = \dfrac{50.22}{\pi}}[/tex]
[tex]\sf{\implies r^2 = 16}[/tex]
[tex]\sf{\implies r = 4}[/tex]
We know that : Diameter is two times the radius
⇒ Diameter of the Cone is 8 meters
A function g is described below:
· g(2) = 2 ( 23 – 3) = 5
• domain is all real numbers greater than 0
The range of g is all real numbers greater than or equal to
Answers
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?
Answers
1mile £3.50+£1.75=£5.25
Taxi B
1mile £1.25+£2.00=£3.25
Taxi A
2miles £3.50+£3.50=£7.00
Taxi B
2miles £1.25+£4.00=£5.25
Taxi A
3miles £3.50+£5.25=£8.75
Taxi B
3miles £1.25+£6.00=£7.25
Taxi A
4miles £3.50+£7.00=£10.50
Taxi B
4miles £1.25+£8.00=£9.25
Taxi A
5miles £3.50+£8.75=£12.25
Taxi B
5miles £1.25+£10.00=£11.25
Taxi A
6miles £3.50+£10.50=£14.00
Taxi B
6miles £1.25+£12.00=£13.25
Taxi A
7miles £3.50+£12.25=£15.75
Taxi B
7miles £1.25+£14.00=£15.25
Taxi A
8miles £3.50+£14.00=£17.50
Taxi B
8miles £1.25+£16.00=£17.25
Taxi A
9miles £3.50+£15.75=£19.25 (the same)
Taxi B
9miles £1.25+£18.00=£19.25 (the same)
^^^
They would have to drive 9 miles for the taxi to cost the same.
Hope this helped, this is the longest way to work it out but also the simplest.
Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply.
Answers
Answer:
(13+30c)/10
Step-by-step explanation:
Given the expression;
1/2 + 3c + 4/5
Find the LCM
= 5(1)+10(3c)+2(4)/10
= (5+30c+8)/10
= (13+30c)/10
Hence the required sum is (13+30c)/10
The circumference of a circle is 8.34cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answers
Answer:
Diameter, D = 2.65 cm
Step-by-step explanation:
Given the following data;
Circumference of circle = 8.34 cm
To find the length of its diameter;
Mathematically, circumference of a circle is equal to;
C = πD
Where;
C is the circumference of a circle.D is the diameter of a circle.Pie, π = 3.142Substituting into the formula, we have;
8.34 = 3.142 * D
[tex] D = \frac {8.34}{3.142} [/tex]
Diameter, D = 2.65 cm
Calcula el ancho de un terreno rectangular si el largo mide 20 metros y la superficie es de 280 metros cuadrados
Answers
Answer:14 m
Step-by-step explanation:
Dada
larga [tex]l=20\ m[/tex]
superficie [tex]A=280\ m^2[/tex]
Suponga que el ancho es w
La superficie está dada por el producto de la longitud y la anchura.
[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]
Por lo tanto, el ancho es de 14 m.
Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calculation!
Answers
The answer is 1.32
For this calculation, assuming that no conversions are required, the calcitonin goes as follows:
All that is needed is to subtract 57.7 from 59.02.
59.02 - 57.7 = ?
59.02 - 57.7 = 1.32
Hope this helps! Have a great day.
Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545
Answers
Please help me on this question
Answers
Answer:
A = 6π
Step-by-step explanation:
Expression for the area of a sector is given by,
A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
For θ = 240° and r = 3,
By substituting these values in the given expression,
A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]
= [tex]\frac{240\times 9}{360}\pi[/tex]
= 6π
Therefore, A = 6π is the answer.
The sum of a number and its square is 12 . Find the number
Answers
Answer:
Two solutions
3
-4
Step-by-step explanation:
3 + 3²
3 + 9 = 12
-------------------
-4 + (-4)²
-4 + 16 = 12
What are the coordinates of the point 1/6 of the way from a to b?
Answers
Answer:
B. (2, 6)
Step-by-step explanation:
Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2
Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))
= 8+(-2) = 6
the coordinate => (2, 6)
PLEASE HELPP MEEE ASAPPPPP
Answers
Answer:
D) 24,32,40
Step-by-step explanation:
Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024. 24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.
1,600 = 576 + 1024.
Note:
Pls notify me if my answer is incorrect, for the other users that will see this message.
-kiniwih426
14.
Solve x2 + 2 = 6 by graphing the related function.
A. There are no real number solutions.
B. There are two solutions: ±[tex]\sqrt{8}[/tex].
C. There are two solutions: 2 and –2.
D. There is one solution: 2
Answers
Answer:
C. There are two solutions: 2 and –2.
Step-by-step explanation:
Answer:
Step-by-step explanation:
we have
we know that
The solution of the function is equivalent to solve the following system of equations
------> equation A
------> equation B
The x-coordinate of the intersection point both graphs is the solution of the given function
Using a graphing tool
see the attached figure
The intersection points are and
therefore
The solution of the given function are
Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.
Answer: option C.
Step-by-step explanation:
Given a quadratic function of the form , if the coefficient a is less than zero, then the function is opened upward.
The options A is not opened upwards, then it is not the answer.
Then the given equation can be written as:
This function is equal to the parent function, shifted 4 units down.
Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).
Then, the correct option is C. And the solution is:
Which of the following is an equivalent trig ratio for tan 28
Cos 62
1/ tan 62
1/ tan152
Cos 28
Answers
Answer:
B
Step-by-step explanation:
tan28=tan (90-62)=cot 62=1/tan 62
HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST
Answers
A’B’ 3
M’N 6 good luck on the rest of ur test :>
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
Answers
Answer:
1 Hour
Explanation:
•A horse ride costs P120.00 per person for the
first 30 minutes.
•P50.00 for every additional 10 minutes.
I Spend P270.00, I Subtracted P120.00 For the
first 30 minutes.
270 - 120 = 150
150/50 = 3
If I Spend P50.00 for every additional 10 minutes
Then:
3 * 10 = 30
P120.00 For the first 30 minutes.
30 minutes + 30 minutes = 60 min = 1 Hour
Find a round to the nearest tenth 12 22 75 x x=?
Answers
Answer:
By law of Sines[tex]\frac{Sin75^o}{22} =\frac{Sinx}{12}[/tex][tex]\frac{Sin75}{22}(12)=\frac{Sinx}{12} (12)[/tex][tex]0.5268=Sinx[/tex][tex]Sin^(0.5268)=x[/tex][tex]x=31.789[/tex][tex]x=31.79^o[/tex]-----------------------hope it helps..have a great day!!Adam is refinishing his basement. 30 ft by 50 ft are the dimensions of Adam's rectangular basement. How much tile would he need to cover the floor? If the height of the basement is 6 ft, how much wall area is there to paint?
Answers
Answer:
Area of four walls is 3960 square feet.
Step-by-step explanation:
length, L = 30 ft
Width, W = 50 ft
height, H = 6 ft
The area of walls is
= 2 (L W + W H + H L)
= 2 (30 x 50 + 50 x 6 + 6 x 30)
= 2 (1500 + 300 + 180)
= 3960 square feet
Answer/Step-by-step explanation:
How much tile would he need to cover the floor?
Answer: 1500 Ft^2
If the height of the basement is 6 ft, how much wall area is there to paint?
Answer: 960 Ft^2
Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?
Answers
Answer:
Yes, the card is a right triangle.
Step-by-step explanation:
The card is a right triangle, specifically a 3-4-5 right triangle.
A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.
The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.
So, the card is a right triangle.
BRAINLIEST IF CORRECT You choose a movie at random from a list containing 8 comedy movies, 5 science fiction movies, and 7 adventure movies. What is the theoretical probability that the movie is not a comedy?
Select all that apply.
0.60
50%
252 fifths
353 fifths
60%
Answers
Answer:
0.60 & 60%
Step-by-step explanation:
12. You are driving on a major highway. If you drive in the left lane traffic is moving at 60mph, if you drive in the right lane, traffic is moving at 40mph. You can drive a maximum of 10 hours and need to go a minimum of 500 miles. Use the above information to answer part a and b below: 12a. Create a system of inequalities to model the potential travel time in 3 points each lane.
12b. If you want to spend an amount of time in each lane, would this allow you to reach your goal of driving 50 miles? just to fight your conclusion
Answers
you are driving onajor highway 94 mp
Solve for x
Show work
Answers
Answer:
10x is equal to 100 so 100+6=106
then
Step-by-step explanation:
4x is equal to 8 so 4+18=22
so it's 128
Pls help me with this
Answers
Answer:
5.85
Step-by-step explanation:
100%-> 6.50
100%-10% = 90 %
90%-> 6.50/100 x 90
=5.85
Frank earned f dollars mowing lawns. Bryce's earnings, b, were $15.25 less than 3.5 times as
much as Frank's earnings. Which of the following equations best represents this situation?
A. b = 3.5f + 15.25
B. f= 3.5b - 15.25
C. b = 3.5f-15.25
D. f = 3.5b + 15.25
Answers
Find the mean, median, mode, range.
Answers
Answer:
1. mean: 5
2. median: 6
3. mode: 80% or 8
4. range: 7
Step-by-step explanation:
Answer:
mean = 5
median = 6
mode = 80%(aka 8)
range = 7
Step-by-step explanation:
If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?
Answers
Answer:
The committee needs 12 square tables!
Step-by-step explanation:
[tex]8x+6y=150[/tex]
[tex]y=9[/tex]
[tex]8x+6(9)=150[/tex]
[tex]8x+54=150[/tex]
[tex]-54[/tex] [tex]-54[/tex]
[tex]8x=96[/tex]
[tex]/8[/tex] [tex]/8[/tex]
[tex]x=12[/tex]
Hope this helps!
