Round off 72.8 to the nearest 2 significant figures?

Answers

Answer 1

Answer:

73

Step-by-step explanation:

I don't think this needs an explanation

Answer 2

Answer:

73

Step-by-step explanation:

72.8

8 is greater than or equal to 5, so we round up.

72.8 ≈ 73

Hope this helps.


Related Questions

Find the volume in the shape

Answers

Answer:

1205.76 m^3

Step-by-step explanation:

given:

radius = 8m

height = 18 m

volume of a cone = πr2h/3

=3.14 * (8)^2 * 18/3

=3.14 *64 *18/3

=3617.28/3

=1205.76 m^3

PLZZZZ HELP THIS DUE TODAY BEFORE 8:00 .(05.05)The width of a rectangle is shown below:

A coordinate plane with a point A at negative 3, 3 and C at negative 3, negative 2.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)
B(3, 3) and D(3, −2)
B(2, 3) and D(2, −2)
B(1, 2) and D(1, −3)

Answers

Answer:

the first option (1,3) and (1,-2)

Step-by-step explanation:

it is unusual to have neighboring corners of a rectangle called A and C. normally the neighbors of A are B and D. but ok.

A and C have the same x coordinate (-3). so, A is directly above C. the distance between them is therefore only the difference between their y coordinates.

AC = 3 - -2 = 3 + 2 = 5

the area of the rectangle is length × width, so

20 = AC × AB = 5 × AB

AB = 20/5 = 4

in a rectangle all angles are 90 degrees.

so, to find B we need to draw a line of 4 units from A to the right, perpendicular to AC. that means that now the y coordinate is the same as for A (3), and the distance to A is just the difference in the x coordinate :

4 = Bx - -3 = Bx + 3

Bx = 1

=> B = (1, 3)

to maintain the rectangle shape now D has to be right under B and to the right of C with the same distances

DB = AC = 5

DC = AB = 4

due to the special orientation of the rectangle (the sides are all parallel to the x- and y-axis) we can simply add the distances to the corresponding coordinates, or just deduct from the other points :

D has to have the same x coordinate as B (1).

D has to have the same y coordinate as C (-2).

so, D = (1, -2)

two mangoes cost $60.00. what is the cost of 5 mangoes​

Answers

Answer:

Im not 100% sure but i think it would be $150.00

Step-by-step explanation:

Because if 2 mangos are $60

whats half of 60$

30

so 1 mango = $30

the person wants 5 mango so

multiply

$30*5

which would give you

$150.00

Answer:

$150

Step-by-step explanation:

If 2 mangoes cost $60, then 1 mango would be 60/2=30.

5 mangos would be 30×5=$150

How do you solve a system of linear equations by graphing? ​

Answers

9514 1404 393

Explanation:

This is a self-answering question: you solve it by graphing the equations.

The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.

__

The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.

Help me Brainly ASAP

Answers

Answer:

0.0005729

Step-by-step explanation:

since the exponent is negative, move the decimal four units to the left to get:

0.0005729

Dan has an old lawn mower! It takes him 1 hour to mow the whole lawn. How many square yards does Dan cut in one minute? Hints: There are 60 minutes in 1 hour. To find the unit rate divide the area of the lawn by the amount of time it takes Dan to mow the whole lawn.
40 square yards per minute
400 square yards per minute
2400 square yards per minute
240 square yards per minute

Answers

Answer: You didnt mention how much Dan mows in 1 hour, but just do that divided by 60

Step-by-step explanation:

1
Calculate the height, A. and the width, B. of the spice
cabinet shown in the figure. Don't forget to include the
1
--inch thickness of the wood where needed. The symbol
hardwood for all framing parts.
" means inches,
This
3
The height, A, of the spice cabinet is inches
(Type an integer, proper fraction, or mixed number.)
on

Answers

Answer:

Height A = [tex]12\frac{3}{4}[/tex] inches

Step-by-step explanation:

Height A = Sum of widths of all sections of the cabinet + thickness of the wood

Height A = [tex]1\frac{1}{4}+\frac{1}{4}+4\frac{1}{2}+\frac{1}{4}+4\frac{1}{2}+2[/tex]

               = [tex](1+4+4+2)+(\frac{1}{4}+\frac{1}{4}+\frac{1}{2}+\frac{1}{4}+\frac{1}{2})[/tex]

               = [tex]11+(\frac{1+1+2+1+2}{4} )[/tex]

               = [tex]11+\frac{7}{4}[/tex]

               = [tex]11+1\frac{3}{4}[/tex]

               = [tex]11+1+\frac{3}{4}[/tex]

               = [tex]12\frac{3}{4}[/tex] inches

Find the slope of the line that passes through the points (-5,-6) and (5,10)

Answers

y=1.6x+2
that’s just what i got

what is equivalent to 7w +7w

Answers

Answer:

14w

Step-by-step explanation:

Hope this helps

a number cube numbered 1 to 6 and a coin is tossed at the same time. How many outcomes are possible? A.2 B.6 C.8 D. 12

Answers

Answer:

C 8

Step-by-step explanation:

the number cube has six sides and the coin has 2 sides

D. 12

The number cube has 6 outcomes, and each of those has a heads and a tails option with it. 6x2=12

an 18-foot wire is to be cut so that the longer piece is 5 times longer than the shorter piece. find the length of each peice

Answers

Answer:

The longer piece is 15 feet long and the shorter piece is 3 feet long.

Step-by-step explanation:

Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:

x + y = 18

x = 5y

Solve by substitution by substituting 5y as x into the first equation:

x + y = 18

5y + y = 18

Solve for y:

6y = 18

y = 3

So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:

3(5)

= 15

So, the longer piece is 15 feet long.

The longer piece is 15 feet long and the shorter piece is 3 feet long.

HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)

Answers

Given:

x-intercepts of the hyperbola are ±4.

The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].

Center of the hyperbola is at origin.

To find:

The equation of the hyperbola.

Solution:

The general equation of a hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]            ...(i)

Where, (h,k) is the center of the hyperbola, ±a are x-intercepts, [tex](\pm c,0)[/tex] are foci.

Center of the hyperbola is at origin. So, h=0 and k=0.

x-intercepts of the hyperbola are ±4. So,

[tex]\pm a=\pm 4[/tex]

[tex]a=4[/tex]

The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].

[tex]\pm c=\pm 2\sqrt{5}[/tex]

[tex]c=2\sqrt{5}[/tex]

We know that,

[tex]a^2+b^2=c^2[/tex]

[tex](4)^2+b^2=(2\sqrt{5})^2[/tex]

[tex]16+b^2=20[/tex]

[tex]b^2=20-16[/tex]

[tex]b^2=4[/tex]

Taking square root on both sides, we get

[tex]b=\sqrt{4}[/tex]                    [b>0]

[tex]b=2[/tex]

Substituting [tex]h=0,k=0,a=4,b=2[/tex] in (i), we get

[tex]\dfrac{(x-0)^2}{4^2}-\dfrac{(y-0)^2}{2^2}=1[/tex]

[tex]\dfrac{x^2}{4^2}-\dfrac{y^2}{2^2}=1[/tex]

Therefore, the correct option is (d).

A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting: F minimum

Answers

Complete Question

A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:

a)F minimum

b) F maximum

c) Frequency resolution

Answer:

a) [tex]Fmax=100Hz[/tex]

b) [tex]Fmin=0Hz[/tex]

c) [tex]F_r=0.0313[/tex]

Step-by-step explanation:

From the question we are told that:

Time [tex]t=32sec[/tex]

Frequency[tex]F=200Hz[/tex]

Segments [tex]\mu=5[/tex]

Generally the equation for Frequency Range is mathematically given by

[tex]Fmax=\frac{F}{2}[/tex]

[tex]Fmax=100Hz[/tex]

Therefore

a) [tex]Fmax=100Hz[/tex]

b) [tex]Fmin=0Hz[/tex]

c)

Generally the equation for Frequency Resolution is mathematically given by

[tex]F_r=\frac{F}{N}[/tex]

Where

N=The Total dat points

N=Sampling Frequency *Time

[tex]N=200*32[/tex]

[tex]N=6400[/tex]

Therefore

[tex]F_r=\frac{200}{6400}[/tex]

[tex]F_r=0.0313[/tex]

chads pay rate for babysitting is x=9x, where x is the number of hours he babysits and y is the number of dollars he earns. Horatio's pay rate is shown in the graph. Which statement is true

Answers

Answer: Chad Makes $1.50 more

Step-by-step explanation:

You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped

An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8 cm, and the height is 15 cm. Find the rate at which the water level is rising when the water level is 4 cm.

Answers

Answer:

[tex]\frac{dh}{dt}=1.45cmsec^{-1}[/tex]

Step-by-step explanation:

Rate of Water Fill [tex]R=\frac{dv}{dt}=70cm^3[/tex]

Length [tex]l=8cm[/tex]

Height [tex]H=15cm[/tex]

Water level [tex]L_w= 4cm[/tex]

Generally the equation for relationship b/w h and a is mathematically given by

Since by the properties of similar triangles

 [tex]k=\frac{h}{1/2}[/tex]

Let

 [tex]h=15cm \\\\a=8cm[/tex]

 [tex]k=\frac{h}{1/2a}[/tex]

 [tex]k=\frac{15}{4}[/tex]

Therefore

 [tex]\frac{h}{1/2a}=\frac{15}{4}[/tex]

 [tex]a=\frac{8h}{15}[/tex]

Generally the equation for volume of Pyramid is mathematically given by

 [tex]V=\frac{1}{3}ah^2h[/tex]

Subsitute a

 [tex]V=\frac{1}{3}(\frac{8h}{15})h^2h[/tex]

Therefore

 [tex]\frac{dv}{dt}=\frac{(\frac{1}{3}(\frac{8h}{15})h^2h)}{dt}[/tex]

 [tex]\frac{dv}{dt}=\frac{64}{255}(h^2\frac{dh}{dt})[/tex]

Since

 [tex]\frac{dv}{dt}=70cm^3s^{-1}[/tex]

Therefore

 [tex]70cm^3s^{-1}=\frac{64}{255}(h^2\frac{dh}{dt})[/tex]

 [tex]\frac{dh}{dt}=\frac{70}{169}*\frac{225}{64}[/tex]

 [tex]\frac{dh}{dt}=1.45cmsec^{-1}[/tex]

the number 3.14063 written correct to 3 decimal places is

Answers

Answer:

3.141

Step-by-step explanation:

3 decimals is .xxx, and you round the last digit up, so it becomes 3.141

Answer:

3.141

Step-by-step explanation:

since the forth number behind the decimal place is bigger than 5 we round up the third number.

I hope this helps in anyway.

Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once.
True
False
28/16=14/8
3/5=9/15
4/32=10/78
3/4=12/16

Answers

Answer:

28/16=14/8 true

3/5=9/15 true

4/32=10/78 false

3/4=12/16 true

Step-by-step explanation:

DID IT ON BRIDGE

2x+5y=20 y=-0.4x-1 i really need help over here

Answers

Answer:

x=6.25 and y=1.5

Step-by-step explanation:

Given equation

2x+5y=20

y=0.4x-1

Putting the value of y in above equation

2x+5(0.4x-1)=20

2x+2x-5=20

4x-5=20

4x=20+5

4x=25

x=6.25

Now,

y=0.4x-1( Given)

Putting the value of x=6.25 in above equation y

y=0.4(6.25)-1

y=2.5-1

y=1.5

Suppose Duarte is one of the ten cities in the air pollution survey. We found that the number of manufacturing enterprises employing 20 or more workers in Duarte is 200, and the annual mean concentration of sulfur dioxide in Duarte is 18 micrograms per cubic meter. What is the residual for the city of Duarte

Answers

Kindly check complete question in the attached picture below.

Answer:

2.2236

Step-by-step explanation:

From the R output given, we can obtain the linear regression model in the form ;

y = bx + c

Intercept, c = 9.4764

Slope, b = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

Hence, The regression equation model as obtained from the R output is :

y = 0.0315x + 9.4764

For the city of Duarte;

x = 200

Actual annual mean concentration of Sulphur dioxide is 18 micrograms per cubic meter.

Residual = Actual value - predicted value

Prediction using the regression equation to obtain the predicted annual mean concentration ;

The predicted y value, when x = 200

y = 0.0315(200) + 9.4764

y = 15.7764

The residual, if actual annual concentration = 18

Y residual = 18 - 15.7764 = 2.2236

m) Factorise:
x2/9+1+9/x2​

Answers

Answer:

Cannot be factored

Step-by-step explanation:

Given

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2}[/tex]

Required

Factorize

Take LCM

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}[/tex]

The expression cannot be factored

(a)
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?

Answers

Answer: 0.3

Step-by-step explanation:

Element X is a radioactive isotope such that its mass decreases by 73% every
hour. If an experiment starts out with 680 grams of Element X, write a
function to represent the mass of the sample after t hours, where the rate of
change per minute can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the
percentage rate of change per minute, to the nearest hundredth of a percent.
Mi

Answers

Answer:

Step-by-step explanation:

The element decay percentage rate of change 2.22% per minute.

What is radioactive isotope?

Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.

Here, mass decreases by 73% every hour.

Weight of element X is 680 grams.

According to question,

f(t) = 680 (1 - 73%)ⁿ

f(t) = 680 (1 - 0.73)ⁿ

f(t) = 680 X 0.27ⁿ

f(t) = 680 X 0.9778ⁿ

f(t) = 680 X (1 - 0.02322)ⁿ

Thus, the element decay percentage rate of change 2.22% per minute.

Learn more about radioactive isotope from:

https://brainly.com/question/1907960

#SPJ2

3.4 0.8 0.6 find the volume of the rectangular prism in cubic feet ​

Answers

Given:

Consider the dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft.

To find:

The volume of rectangular prism.

Solution:

The volume of a cuboid or rectangular prism is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth and h is height of the prism.

The dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft. So, the volume of the prism is:

[tex]V=3.4\times 0.8\times 0.6[/tex]

[tex]V=1.632[/tex]

Therefore, the volume of the rectangular prism is 1.632 cubic feet ​.

A mountaineer climbed 1,000 feet

Answers

Answer:

please complete your question

Answer:

its a (i had to find ur question online hopefully i found the right one)

PLEASE HELP!!!

WORTH 20 POINTS!!!

WILL MARK BRAINLIEST!!!

Use the triangle below to answer the following questions.

Thank you!


Answers

Answer: 1. 1/2

2. √3\2

3. √3

Please help me out thank you!

Answers

Answer:

Step-by-step explanation:

Multiply and combine like terms to determine the product of these polynomials. (3x−6)(4x+1)

Answers

0.12 I think I’m not sure how to do this I ji at have an idea maybe I’m super wrong
Answer using box method

= 12x^2 - 21x -6

The point ( - 14,12) is on the graph of y = f(x). Find the corresponding point on the graph of y= qe), where gex) = arcus.
The corresponding point on the graph of y = g(x) is
(Simplify your answer. Type an ordered nair

Answers

Answer:

[tex](-14,4)[/tex]

Step-by-step explanation:

Given

[tex](-14,12)[/tex]   [tex]\to[/tex]    [tex]y =f(x)[/tex]

[tex]g(x) = \frac{1}{3}f(x)[/tex]

Required

The corresponding point on [tex]y = g(x)[/tex]

[tex](-14,12)[/tex]   [tex]\to[/tex]    [tex]y =f(x)[/tex] means:

[tex]12 = f(-14)[/tex]

or

[tex]f(-14)=12[/tex]

[tex]g(x) = \frac{1}{3}f(x)[/tex] is calculated

[tex]g(-14) = \frac{1}{3} * f(-14)[/tex]

[tex]g(-14) = \frac{1}{3} * 12[/tex]

[tex]g(-14) = 4[/tex]

So, the corresponding point on [tex]y = g(x)[/tex] is: [tex](-14,4)[/tex]

An English teacher needs to pick 4 books to put on his reading list for the next school year. He has narrowed down his choices to 8 novels and 6 plays.

a. How many different ways can he choose the books to put on the list if he wants to include at least two plays?
b. Find the standard deviation.

Answers

Answer:

A) 3 ways

B) sorry don't know.

Step-by-step explanation:

2 P and 2 N

3P and 1 N

4P

So 3 ways.

the cube of the sum of 4 and 9 times x divided by the product of 5 times x and the difference of x and 1

A.

Answers

The answer on the question is a

Answer and Step-by-step explanation:

Write down everything that is being asked into the math form of it.

[tex](4+9)^3 * \frac{x}{(5x)(x-1)}[/tex]

(I think that is what it is asking, how they word it is kind of weird).

Now solve.

[tex]36^3*\frac{x}{5x^2-5x}[/tex]

[tex]46656*\frac{1}{5(x-1)}\\\\\frac{46656}{5(x-1)}[/tex]<- I think this should be the answer.

#teamtrees #PAW (Plant And Water)

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