The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second?

Answer:

scale factor is 1:4

Step-by-step explanation:

the blue rectangle is 4 times larger than the black one; you can compare coordinates; for example, (4,5) becomes (16,20)

[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]

[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]

[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]

[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

slope= [tex]\frac{2}{3}[/tex] or 0.6

y-intercept= -1

y= 0.6x+ -1

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

the y-intercept is where the line crosses the y axis

the equation for a line is y=mx+b where m is slope and  b is y

Answer:

Slope: 1.5

Y-intercept: (0,-1)

Equation of the line: y=1.5x-1

Step-by-step explanation:

Slope=

change of y/change of x=

3/2 (or 1.5)

Equation of the line:

y=1.5x+b

-1=1.5(0)+b

-1=b

y=1.5x-1

Step-by-step explanation:

check the attached file

Answer:

68.54 dollars is you answer you would do 63 times .088 and add 63 to your answer

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]m = 2[/tex]

Step-by-step explanation:

[tex]0 = 12 + 2(m - 8)[/tex]

[tex]0 = 12 + 2m - 16[/tex]

[tex]0 = - 4 + 2m[/tex]

[tex] - 2m = - 4[/tex]

[tex] = m = 2[/tex]

[tex] \: \: \: [/tex]

Answer:

m = 2

Step-by-step explanation:

0 = 12 + 2 ( m - 8 )

→ Expand the brackets

0 = 12 + 2m - 16

→ Add 16 to both sides

16 = 12 + 2m

→ Minus 12 from both sides

4 = 2m

→ Divide both sides by 2

2 = m

Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

__

The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

Answer:

so subtract -2v to the left side add 5 to the right side so your left with

v = 15

Answer:

15 = v

Step-by-step explanation:

First start by grouping like terms,

=> - 5 - 10 = 2v - 3v

evaluate the LHS and RHS

=> - 15 = - v

Divide through by the coefficient of v, which in this case is - 1

=>

[tex] \frac{ - 15}{ - 1} = v[/tex]

Therefore, 15 = v

12 ≡ 7 + 5 ≡ 5 (mod 7)

so

12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)

Answer:

Here you go

Step-by-step explanation:

it's all in the screenshot

Answer:

-1

Step-by-step explanation:

Using the formula to find gradient or slope:

m = (y2 - y1)/ (x2 - x1)

Using any two points from the graph: (-2, 0) (0, -2)

Substitute this into the equation to get the answer of -1.

Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

Answer:0.216667

Step-by-step explanation: I figured out how many ft r in a yard the how many seconds r in a mi then went from there.

Answer:

2

Step-by-step explanation:

x + 2y = 14

2y = -x + 14

y = -1/2 x + 7

m = -1/2

product of slopes is -1

so perpendicular slope is 2

Answer:

Step-by-step explanation:

I thought of a 2 digit number. The digits of my number are different:  [XY]

Then I'm lost. Does "The unit digit of my number is the tens digit raised third power" mean that the X is raised to the third power?:

X^3

But then we need more information.  X could be 1, 2,3, or 4.  At 5 it becomes a three digit number.  All of the other option result in a two digit number with different digits, so all seem possible.  I don't know how to answer this without more information.

Answer:

I can only answer ii.

A=Lxwxh

=6mx3mx4m

=18mx4m

A=40msquared .

A=Lxwxh

40msquared = 6mx3mxh

40msquared =18msquaredxh

40/18msquared=18xh/18msquared

131/3=h.

that's what I thought

Step-by-step explanation:

I think I should first find the area

of the figure.then I will use the area to find the height.

Answer:

for which one all ?

Step-by-step explanation:

because if so lemme know

Using the concept of probability, the probability of rolling 2 sixes would be 1/25

From the tree diagram given :

The probability of rolling 2 sixes can be defined thus :

Hence,

P(2 6's) = 1/5 × 1/5 = 1/25

Hence, the probability of rolling 2 sixes is 1/25.

Learn more : https://brainly.com/question/14522818

Answer:

B.97

Step-by-step explanation:

Heyy so angle ADC and DAB are supp to one another, thus

83 + DAB = 180 --> subtracting

DAB =97. B

Hope that made sense :)

Answer:

f

and

c

the top is f and front is c

Step-by-step explanation:

f and c

E and C

Step-by-step explanation:

E on the front

C on the top

I hope it helps

Answer:

for the first one the answer is 65.94 and for the second one its 50.27

Step-by-step explanation:

to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer

Answer: 6

Step-by-step explanation:

1. 2(4 + px) = 12x (write it down)

2. 8 + 2px = 12x (distributive property)

3. 8/2 + 2px/2 = 12x/2 (divide all by 2

4. 4 + px = 6x

5. 4 = 6x - px

Plug all in:

4 = 6x - 2x (possinle)

4 = 6x - 6x (not possible)

4 = 6x - 12x (possible)

4 = 6x - 24x (possible)

Answer: 6

because:

4 = 6x - 6x

4 = 0

Answer:

Step-by-step explanation:

It isn't an appropriate sample to use to infer the preference of all 7th grade students because they only get the students in one club, a better sampling method would be to get the answer from 25 grade 7 students in other clubs including the art club.

- i'm sorry if this doesn't make any sense

Todd's method of sampling is incorrect because he chose the student from a single club. To make it better he has to choose students from different clubs.

The sampling method is the method of selecting the subset from the set to make a statical inference.

Todd surveyed the 25, 7th-grade students in the art club to determine what movies 7th-grade students prefer.

This method is not an appropriate sample to use infer preference of all 7th-grade students because they only get the students in one club, a better sampling method would get the correct surveyed from 25 grade 7 students in other clubs including the art club.

More about the sample method link is given below.

https://brainly.com/question/15125943

Answer:

47 is the correct answer.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

divide 473 by 10

473 divided by 10 = 47

Answer:

2/3

Step-by-step explanation:

     [] Since is the line is going up from bottom-left to top-right, we know it will be positive

     [] Because this graph has distinctive coordinate-points, we can use rise over run

     () The other method is to use the change in y divided by the change in x

We start at (-2, 0), then count 2 up and 3 over to get to (2, 1) which gives us a slope of 2/3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

15 - 5 = 10 wow that was so hard

Answer:

the awnser is 10

Step-by-step explanation:

x=15 so

15-5=10

Answer:

12 feet 9 inches

Step-by-step explanation:

There are 3 feet in a yard, and 12 inches in a foot. Multiply those together and you get 36 inches in a yard.

2 yards × 36 inches/yard = 72 inches

2 feet × 12 inches/foot = 24 inches

72 inches + 24 inches = 96 inches

------------

7 yards × 36 inches/yard = 252 inches

252 inches + 9 inches = 261 inches

==============

Add those together:

96 inches + 261 inches = 357 inches

Then to convert to feet again, you need to divide by 12 and find the remainder. I prefer to do it with a calculator like this, but you can do it however you prefer:

357 ÷ 12 = 29.75 feet (round down)

12 × 29 = 348 inches in 12 feet

Then find the remainder:

357 - 348 = 9 inches

12 feet 9 inches

Answer:

-4, 2    (-4,0) (2,0)

Step-by-step explanation:

factoring in binomials

[tex](x+4)(x-2)=x^{2} +2x-8[/tex]

The zeros:

[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]

[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]

I hope this help you