Which step should be completed first in the following problem 4(27÷3²)

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

We have to use BPEMDAS Order of Operations:

B - Brackets

P - Parenthesis

E - Exponents

M - Multiply

D - Divide

A - Addition

S - Subtraction

We use this order left to right. Since we have parenthesis, we look at that first. Inside, we have division and exponents. Since exponents come first, we have to evaluate 3² first.

Answer 2
Answer:

Answer:

square the 3

Step-by-step explanation:

In the order of operations, you must do the exponent inside the parentheses first, so the first step is:

4(27 ÷ 3²) =

= 4(27 ÷ 9)

Answer: square the 3


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Cylinder a has a radius 2 cm and contains water to a height of 10cm cylinder b has a radius 5cm and is empty. Some of the water is poured from cylinder a to b the height is now the same

Answers

Answer:

h = 1.38 cm

Step-by-step explanation:

The question is at what value is the height of both cylinders the same:

The area of the circular base on each cylinder is:

Area=\pi r^2\nA=4\pi \ cm^2\nB=25\pi \ cm^2

The initial volume in cylinder A is:

V=4\pi *10\nV=40\pi\ cm^3

We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:

h_A=(V_a)/(4\pi)\nh_B=(V_b)/(25\pi)

If both heights are the same:

(V_a)/(4\pi)=(V_b)/(25\pi)\nV_b=(25)/(4)V_a  \nV_a+V_b=40\pi\nV_a+(25)/(4)V_a=40\pi\nV_a=5.5172\pi\ cm^3

The height 'h' is:

h=(5.5172\pi)/(4\pi)\n h=1.38\ cm

Final answer:

The question refers to the mathematics of the volume of a cylinder. It involves calculating the initial volume of water in cylinder A, and then determining the volume of water in cylinder B after it has received water from cylinder A.

Explanation:

The subject of the question is related to the mathematical concept of volume, specifically the volume of a cylinder. In this scenario, we are dealing with two cylinders and the volume of water transferred between them.

Firstly, the volume of water in cylinder A initially can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where r is the radius of the base and h is the height. So, for cylinder A with radius 2 cm and height 10 cm, the volume of water initially is V = π(2)²(10) = 40π cm³.

After some water is transferred from cylinder A to cylinder B, the question states that the height of water in both cylinders is the same. It means that the volume of water in cylinder B is now equal to that of a cylinder with radius 5 cm and the same height as cylinder A after the transfer which can also be found by the formula V = πr²h.

Learn more about Volume of cylinder here:

brainly.com/question/16788902

#SPJ12

Evaluate the limit, if it exists. Show work.
lim→5 2−3−10 / 2−10

Answers

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: 13/3

Decimal Form:  4.3

Mixed Number Form:4  1/3

Step-by-step explanation:

Hope this helps ;)

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

first of all you neeeeeed to make sure you know the formula for slope!
which is...
                y2 - y1
    m  =   -----------
                x2 - x1

and since they already gave you two x and y coordinates this is really simple:)  first of all you need to understand what is y2, y1, or x2, x1
taking the points (6,-3) i hope u understand that 6 is the x and -3 is the y.    so knowing that information you always remember to use the information in the order that they gave it to you. i will add an extra link to help explain. Sooo then knowing that you plug it into the formula that I gave you earlier 
so look at the next link that i made:)  
so your slope is 6/5! or 1.2 as a decimal
hopefully you would know what an equation looks like but just in case this is it      y = mx+b 
 so your equation looks like this y = 1.2x -3 
  where did i get the -3?
well look at first x and y coordinate thats your first y intercept:))
hope i helped!!.... and that this was right lol
let me know if it was correct thanks.

Convert 324 centimeters to meters.

3.24 m
32.4 m
3,240 m
3,240 m

Answers

To convert from meters to centimeter you divide by 100
: . 324 cm to m = (324cm)/(100) =<span> 3.24m</span>

thus A

Please help confused with half life /compound interest problems1. Fermium-252 decays in 10 minutes to 76.1% of its original
mass. Find the half-life of fermium-252.
2. How long do you have to wait until 15mg of beryllium-7 have
decayed to 4mg, if the half-life of beryllium-7 is 53.12 days?

Answers

Half life means only half of matter is left, which means half is decayed/radiated. 
Formula for half life is
t/2 = [(elapsed time)*(log2)]/[log(beginning amount/ending amount)]
1. t/2 = [(10)*(log2)]/[log(100/76.1)] = 25.378 minutes.
 t/2 = [10 * 0.301]/[log 1.314] = [3.01]/[0.1186] = 25.378
2. 53.12 = [(T)*(log2)]/[log(15/4)], on solving we get, T = 101.29 days
 53.12 = [T * 0.301]/[log 3.75] = [0.301 * T]/[0.574],
 T = [53.12 * 0.574]/[0.301] = [30.49]/[0.301] = 101.29

A central angle measuring 160° intercepts an arc in a circle whose radius is 4.What is length of the arc of the circle formed by this central angle? Round the length of the arc to the nearest hundredth
of unit.
4.19 units
6.28 units
12.57 units
12.57 square units

Answers

Answer:

11.17units

Step-by-step explanation:

Check attachment


The answer is 11.7 because I plugged it in the formula and you use pie r squared