numbers like 2%, 3%, 4% and 6% are often used to represent the grade of a road. such a number tells how steep a road is. 3% grade means that for every horizontal distance of 100 ft, the road rises or descends 3 feet. in each of the following cases, find the road grade to two decimal places.

Answer:  20

Step-by-step explanation:

Answer:

A =3960 as the surface area. B=309 books.

Step-by-step explanation:

SA=

[tex]2\pirh + \pir \times r[/tex]

so 2*22/7*7*90+22/7*7*7.

=

[tex]3960cm {}^{2} [/tex]

B.get the volume of the box - volume of the book

Answer:

[tex]\begin{aligned} \textsf{a)} \quad & \textsf{Position function}: \quad s(t) = -16t^2+1362 \\ & \textsf{Velocity function}: \quad v(t) = -32t\end{aligned}[/tex]

[tex]\textsf{b)} \quad \overline{v}=-48\:\: \sf ft/s[/tex]

[tex]\begin{aligned}\textsf{c)} \quad v(1) & = -32\:\: \sf ft/s\\ v(2) & = -64\:\: \sf ft/s\end{aligned}[/tex]

[tex]\textsf{d)} \quad t = 9.226\:\: \sf s \:\: (3\: d.p.)[/tex]

[tex]\textsf{e)} \quad v = -292.242\:\: \sf ft/s \:\: (3\: d.p.)[/tex]

Step-by-step explanation:

Given:

[tex]s(t)=-16t^2+v_0t+s_0[/tex]

If v₀ is the initial velocity, and s₀ is the initial position:

[tex]\implies v_0=0[/tex]

[tex]\implies s_0=1362[/tex]

Therefore:

[tex]\begin{aligned}\textsf{Position function}: \quad s(t) & =-16t^2+0+1362\\ \implies s(t) & = -16t^2+1362 \end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Velocity function}: \quad v(t)&=s\:'(t)\\ \implies v(t) &=-32t\end{aligned}[/tex]

Average velocity is the change in displacement divided by the change in time:

[tex]\overline{v}=\dfrac{s(t_2)-s(t_1)}{t_2-t_1}[/tex]

Given interval: 1 ≤ t ≤ 2

[tex]\implies t_1=1[/tex]

[tex]\implies t_2=2[/tex]

Find the values of s(t) at t = 1 and t = 2:

[tex]\implies s(1)=-16(1)^2+1362=1346[/tex]

[tex]\implies s(2)=-16(2)^2+1362=1298[/tex]

Substitute the values into the formula:

[tex]\overline{v}=\dfrac{s(2)-s(1)}{2-1}=\dfrac{1298-1346}{2-1}=-48\:\: \sf ft/s[/tex]

To find the velocity at t = 1 and t = 2, substitute these values into the velocity function found in part (a):

[tex]\implies v(1)=-32(1)=-32\:\: \sf ft/s[/tex]

[tex]\implies v(2)=-32(2)=-64\:\: \sf ft/s[/tex]

The time required for the coin to reach ground level is when s(t) = 0:

[tex]\begin{aligned}s(t) & = 0\\-16t^2+1362 & = 0\\16t^2 & = 1362\\t^2 & = 85.125\\t & = \sqrt{85.125}\\t & = 9.226\: \sf s\:\:(3\:d.p.)\end{aligned}[/tex]

To find the velocity of the coin at impact with the ground, substitute the found value of t from part (d) into the equation for velocity found in part (a):

[tex]\begin{aligned}v(t) & = -32t\\\implies v(\sqrt{85.125}) & = -32(\sqrt{85.125})\\ v & =-295.242\:\: \sf ft/s\:\:(3\:d.p.)\end{aligned}[/tex]

Note: I have used the non-rounded value of t from part (d) for accuracy.

Answer:

P = a + b + c

Step-by-step explanation:

A triangle has 3 sides. Perimeter is the measurement of the length around a shape. If you add sides A, B, and C, you will get the perimeter. You can also find a missing side by subtracting two known sides of the triangle if you know the perimeter.

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Using the pythagorean theorem in the right triangle:

[tex]1^2 + 2^2 = c^2\\1 + 4 = c^2\\c = \sqrt5[/tex]

Using the pythagorean theorem in the left triangle:

[tex]x^2 + (\sqrt5)^2 = 3^2\\x^2 + 5 = 9\\x^2 = 4\\x = 2[/tex]

Greetings from Brasil...

Observing the attached figure we conclude that we have a square of side 4 and 4 triangles of base 4 and height 6. With this information we can conclude that:

Looking at the attached figure, we conclude that we have a square of side 4 and 4 triangles of base 4 and height 6. Let At be the area of the triangle and As be the area of the square. With this information we can conclude that:

Atotal = 4At + As

Atotal = 4(4.6/2) + 4²

Jacob is playing miniature golf, then the ball is can not reach the hole in one shot, so Jacob is correct.

Jacob is playing miniature golf.

He states that he cannot hit the ball from the start.

Bounce it off the back wall once

And reach the hole in one shot.

So, we can write,

The ball is need to bounce off the back wall once.

The ball is can not reach the hole in one shot.

Jacob is correct.

It is not possible to hit the ball from the start,

Bounce it off the back wall once,

And reach the hole in one shot.

Therefore, Jacob is playing miniature golf, Then the Jacob is correct.

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Answer:

X=7

Step-by-step explanation:

use concept of similarity proportion between big and small triangle enclosed into it

Answer:

2

Step-by-step explanation:

6(6) ÷ ( 2 x 9)

= 36 ÷ 18

=2

Tip:

Use BODMAS whenever order of operations question is there

Bracket

Orders (power, roots, indices)

Division

Multiplication

Addition

Subtraction

Expression written as a single natural logarithm 3 ln x-2 ln 2 x is [tex]ln(x^{} )[/tex] .

 3 ln x-2 ln 2 x is

= [tex]ln x^{3} - lnx^{2}[/tex]

= [tex]ln(x^{3} /x^{2} )[/tex]

=[tex]ln(x^{} )[/tex]

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

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Check the picture below.

Answer:

this is not an answer please help me how to ask another question in brainly

Answer:

No solution, or empty set.

Step-by-step explanation:

If you solve this for p you will get 4 = 5, which is false.  Therefore there is no solution to this equation.

Answer: I got 48

Step-by-step explanation: to find the length of the larger square, 4+2+2=8, 8x10=80, plus the smaller squares on each side equal to (4x2)x2=16, and 80+16=96. 1/2 of 96 is 48

I hope this helps you! (☞ﾟヮﾟ)☞

Answer:

The correct answer is 48.

Step-by-step explanation:

Hope this helped!Dont forget to hit that Brainliest button!

Answer:

316 km

Step-by-step explanation:

multiply 79 x 4

Answer:

d'accord est-ce moi ou pas la même chose que j'ai fait

Answer:

29.33333... feet per second

Step-by-step explanation:

20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280

105600÷60=1760  You divide 105600 by 60 because there are 60 minutes in an hour

1760 ÷ 60  You divide it by 60 again because there are 60 seconds in a minute

Your answer is 29.33333...

The line of best fit of a data set will be a data point is 1.3 units above the line of best fit. Option A is correct.

The line of the greatest fit is a mathematical concept that links points scattered throughout a graph.

It's a sort of linear regression that makes use of scatter data to determine the best approach to characterize the relationship between the dots.

The line of best fit of a data set will be a data point is 1.3 units above the line of best fit.

Hence, option A is correct.

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Answer:

A

Step-by-step explanation:

Time taken by 3 boys to clean a house is 8 hours.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Now, Time taken by 4 teenagers to clean a house = 6 hours

So, Time taken by 1 boy to clean a house = 4 * 6 = 24 hours

Hence, Time taken by 3 boys to clean a house = 24 ÷ 3

                                                                         = 8 hours.

Therefore, Time taken by 3 boys to clean a house is 8 hours.

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Answer: 8 hours

Step-by-step explanation:

I also do rsm

Answer:

Domain:  0  ≤  x ≤ 25

Range:  0 ≤ y ≤ 50 where y = f(x)

Step-by-step explanation:

Domain is the set of all x values. Here x is the number of minutes spent painting and we can see its minimum value is y=0, maximum value is y=25 os domain of function is 0  ≤  x ≤ 25

Range of a function is the set of values of the function ie the outputs produced the function.

Let y = f(x) Then the y values range from minimum of y = 0 to maximum of y = 50. So range is 0 ≤ y ≤ 50 which is 0 ≤ y ≤ 50

The least integer greater than each number for log₃38 = 4

All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.

Let y = log₃38

We know, logₐ x = y, only if  [tex]a^{y}[/tex]= x

Therefore, [tex]3^{y}[/tex] = 38

So, we must find an integer y such that [tex]3^{y}[/tex] = 38

[tex]3^{y}[/tex] = 38

(As, 3³ = 27; 3⁴ = 81)

(Since, 3³ = 27 and 3⁴ = 81, the answer will be 3⁴ as 3⁴ > log₃38)

In this case, y = 4 will be the least integer greater than each number to satisfy this equation.

Therefore, the ultimate answer to the equation is log₃38 = 4

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Answer:

x=4

Step-by-step explanation:

=5x-50=30-15x.

=20x=80.

x=4

Answer: The answers are ll and lll.

Answer:

Therefore (x,y)=(3,7)

Step-by-step explanation:

put the second equation into the first

x+4=3x-2

x-3x=-2-4

-2x=-6

x=3

plug x=3 into the second equation

y=3+4=7