Answer:
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]
Step-by-step explanation:
Let us consider the expression
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]
Writing the expression as a radical
But, let us revise some rules:
[tex]\sqrt{a}=a^{\frac{1}{2}}[/tex]
[tex]\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]
let us solve now
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]
[tex]=5^{\frac{3}{2}}\left(ab\right)^{\frac{3}{2}}[/tex] ∵ [tex]\:5^{\frac{3}{2}}=5\sqrt{5}[/tex]
[tex]=\left(5ab\right)^{\frac{3}{2}}[/tex]
[tex]=\left(5ab\right)^{3\cdot \frac{1}{2}}[/tex]
[tex]=\left(\left(5ab\right)^3\right)^{\frac{1}{2}}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}[/tex]
[tex]=\sqrt{\left(5ab\right)^3}[/tex]
Thus,
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]
Dominic is deciding between two different movie streaming sites to subscribe to. Plan A costs $27 per month plus $3 per movie watched. Plan B costs $35 per month plus $1 per movie watched. Let
A
A represent the monthly cost of Plan A if Dominic watches
x
x per month, and let
B
B represent the monthly cost of Plan B if Dominic watches
x
x movies per month. Write an equation for each situation, in terms of
x
,
x, and determine the interval of movies watched,
x
,
x, for which Plan A is cheaper than Plan B
If you were to be driving in a car at a high amount of speed and shot a gun out the window forward (towards the windshield forward). What would happen? Would the bullet keep going and eventually lose its power or would it come back and hit you? Use your own situations in the answers like what kind of speed, gun, caliber, wind speed whatever.
Answer:
If you shoot the bullet off the back of the car , the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.
Step-by-step explanation:
Step-by-step explanation:
If you shoot the bullet off the back of the train, the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.If you fire a gun into the air, the bullet will travel up to a mile high (depending on the angle of the shot and the power of the gun). Once it reaches its apogee, the bullet will fall. ... In crowded cities, however, the probability rises dramatically, and people get killed quite often by stray bullets
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what is 0.94 (m) in (cm)
Answer:
the answer is 94cm
Step-by-step explanation:
1m=100cm
0.94m= 0.94×100
= 94cm
Hope it will help you.......Answer: Convert 0.94 Meters to Centimeter (m to cm) with our conversion calculator and conversion tables. To convert 0.94 m to cm use direct conversion formula below.
0.94 m = 94 cm.
Hope this helps....... Stay safe and have a Merry Christmas!!!!!!! :D
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What is the determinant of A={-2 2 -5
{4 -1 -2 }
{ 1 3 -5
Answer:
[tex]A' = -51[/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex]
Required
Determine the determinant of A (A')
If
[tex]A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
Then,
[tex]A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)[/tex]
So:
The determinant of [tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex] is
[tex]A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)[/tex]
[tex]A' = -2(5 +6) -2(-20 +2) -5(12 + 1)[/tex]
[tex]A' = -2(11) -2(-18) -5(13)[/tex]
[tex]A' = -22 +36 -65[/tex]
[tex]A' = -51[/tex]
Hence, the determinant is -51
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Ed 2020
What is the equation of the line that passes through the points (0,-7) and (5,-1) put your answer in fully reduced form
Answer:
the answer is y=6/5x-7
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-(-7)/5-0
m=6/5
y-y=m(x-x¹)
y-(-1)=6/5(x-5)
y+1=6/5x-6
-1 -1
y=6/5x-7
The size of the hermit crab’s shell depends on
the size of the crab. Look at the table below. If a 2-inch hermit crab
grows 1 inch per year, use words to describe a rule that will show
how long a 2-inch crab will grow in x years. Write an expression to
find how large this crab will grow in x years.
Length 2 3 4 5 6 7 8 9 10 11 12 ■
Number of Years 0 1 2 3 4 5 6 7 8 9 10 x
Answer:
i. the length of the of the crab per year is greater than its number of years (x) by 2
ii. length = x + 2
Step-by-step explanation:
i. Given that the size of the hermit crab's shell depends on its size. And it grows 1 inch in a year, then it can be deduced that;
the length of the of the crab per year is greater than its number of years (x) by 2.
ii. To show how large the crab will grow in x years, the required expression that would describe the relationship between the length and years (x) of the crab is:
length = x + 2
lim x → 0, 1, 2,.., x,....
where x is the number of years
Therefore in x years, the length of the crab would be equal to x + 2.
There are 12 pieces of pie left over in the cafeteria. If 6 pieces are apple and 6 are cherry, what fraction of the remaining pieces are apple? Simplify your answer as much as you can.
Answer:
1/2
Step-by-step explanation:
Need help ASAP it’s due at 12 tonight
Answer:
quarterly N = 4
semi-annually N = 2
Monthly N = 12
annually N = 1
Step-by-step explanation:
The number of compounding times per period for an investment is usually denoted as N in the compound interest formula:
A = P(1 + r/n)^nt
n = number of times in a year for which the amount is compounded :
Annually : compounding times = 1 = 12 /12
Semi annually (6 months) ; N = 12 /6 = 2
Quarterly ; (3 months) ; N = 12 /3 = 4
Monthly ; (12 months) ; N = 12 / 12 = 1
2×2 write the correct answer below
Answer:
4 :-)))))))) have a wonderful day!
Andy drove 840 miles in 12 hours. How much miles can he drive per hour?
Answer:
70
Step-by-step explanation:
840 / 12 = 70
A cubical water tank is 80cm board.
(i) Find the volume of the tank.
(ii)How many cm.cube of water does it hold?
(iii)If 1000cm.cube = 1 litre,how many litres of water does it hold
Answer:
(i) 512,000 cubic cm
(ii) 512,000 cubic cm
(iii) The tank holds 512 liters of water
Step-by-step explanation:
Capacity and Volume
Volume is the amount of space a container or object occupies. Capacity is the amount of matter required to fill the container.
(i)
The cubic tank has a side length of a=80 cm. The volume of a cube is:
[tex]V=a^3[/tex]
[tex]V=80^3[/tex]
[tex]C=512,000\ cm^3[/tex]
(ii)
The tank holds 512,000 cubic cm of water
(iii)
Since 1 liter = 1,000 cubic cm, the tank holds 512,000/1,000 = 512 liters of water.
Que es un Monomi i un Polinomi?
Answer: Traducción Española
Polynomi es un término matemático que muestra la suma de monomios. Monomi es un problema matemático donde las variables y constantes pueden estar solas o multiplicarse.
Step-by-step explanation:
English translation:
Polynomi is a mathematical term that shows the sum of monomials. Monomi is a mathematical problem where variables and constants can stand alone or multiply.
Please help answer the first 5 boxes for brainslt
> for brainslt
Step-by-step explanation:
5 points is too small for this..
A $65 video game has a 5% shipping charge. What is the cost of the shipping charge?
PLS HELP FAST!!
2. Jill works for Fast Food Inc. and earns $332 per week and is paid bi-weekly. How much is deducted
from her paycheck for Social Security? How much for Medicare?
Social Security Withheld is: $
Medicare Withheld is: $
Answer:
Social Security: $9.63
Step-by-step explanation:
Which of these is a ratio table?
Answer: last one
Step-by-step explanation:
It's the only one with a solid rate of change
Find the retail price if original price is $65 and markdown is 12% is it 7.20 or 57
Answer:
The actual selling price is $58.04 and the markdown is $6.96
Hope this helps :)
PLEASE HELP ME!!!!!!!!!!!!!
Charlie saves $2 for every $9 he earns. Melody saves $4A for
every $12 she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned? Explain.
Answer:
They are the same.
Step-by-step explanation:
Express (-3+2i)(-6 - 8i) in a + bi form.
The a + bi form of the given expression is 34-36i
What is complex numbers?A complex number is a number of the form a + bi, where a and b are real numbers.
Given is a complex numbers, (-3+2i)(-6 - 8i)
(-3+2i)(-6 - 8i) = 18-24i-12i+16
= 34-36i
Hence, The a + bi form of the given expression is 34-36i
For more references on complex numbers, click;
https://brainly.com/question/20566728
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hi plz help
33 is what percent of 60? part/whole = percent?
Answer:
36
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
In order to find the percentage of 33 of 60, you can set up the fraction 33/60 to x/100 like below:
[tex]\frac{33}{60} = \frac{x}{100}[/tex]
Now simply solve for x:
60 * x = 33 * 100
60 x = 3300
x = 3300 / 60 = 55
33 is 55% of 60
What is the slope of the line on this graph
Answer:
In math, slope is used to describe the steepness and direction of lines
Step-by-step explanation:
Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?
Answer:
The remainder is 12.
Step-by-step explanation:
The Polynomial Remainder Theorem
The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the polynomial:
[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]
And we are required to find the remainder when p(x) is divided by (x-1).
We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:
[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]
Remainder= 1 - 3 - 10 + 24 = 12
The remainder is 12.
Please help! Linear Equation word problems using the Ax + By = C form!
Answer:
1. T = 5x + 3y
2. 16 tomatoes.
Step-by-step explanation:
1. Determination of the linear expression.
Let x represent the number of pumpkin.
Let y represent the number of tomato.
Let T represent the total sales made from selling the pumpkins and tomatoes.
From the question,
1 pumpkin = $ 5
Hence,
x pumpkin = 5x
1 tomatoe = $ 3
Hence
y tomatoes = 3y
Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:
T = 5x + 3y
Where:
T is the total sales made from selling the pumpkin and tomatoes.
x is the number of pumpkin.
y is the number of tomatoe
2. Determination of the number of tomatoes sold.
Total cost (T) = $ 98
Number of pumpkin (x) = 10
Number of tomatoe (y) =?
T = 5x + 3y
98 = 5(10) + 3y
98 = 50 + 3y
Collect like terms
98 – 50 = 3y
48 = 3y
Divide both side by 3
y = 48/3
y = 16
Therefore, 16 tomatoes was sold.
Apollo Spas services 253 hot tubs. If each hot tub needs 115 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
Answer:
29.095
Step-by-step explanation:
115 x 253 = 29095 mL
convert mL to Liters
Just do 29095 divided by 1000
A 14-ounce energy drink contains 42 teaspoons of sugar. How much sugar is one ounce of the drink?
Answer:
3 teaspoonsStep-by-step explanation:
14-ounce ⇒ 42 teaspoons of sugar14/14 ounce ⇒ 42/14 = 3 teaspoons of sugar1-ounce ⇒ 3 teaspoons of sugarXY = Y Z
2x = 5x-12
- 3x = -12
How do I solve ?
Answer:
Step-by-step explanation:
Well basically if you cancelled out y from both sides. You will find out x=z
-3x= -12
x=4
Thus z=4
O
If the sin 90° is 1, then the cos
(4 points
Answer:
What is the angle for cos, keep question clearly
If angle is 90° then answer is 0
Elsa took out a 4-year loan to buy a car at a 7.25% simple interest rate. If she has to pay $2,900 in interest. How much interest did she pay each 1 year?
Answer:
her life
Step-by-step explanation:
Find the surface area for the triangular prism below. Whoever answers right the quickest will get brainliest. PLEASE HELP QUICKLY!!!
Answer:
To answer your question use the code ICE on here to get your answer works every time for me hope this helps