One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use
this rule to estimate the size of the crowd watching a concert in an area that is 150 feet long
and 240 feet wide

Answer:

-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C

Step-by-step explanation:

∫ 15 sin(√(at)) dt

Use substitution:

If x = √(at), then:

dx = ½ (at)^-½ (a dt)

dx = a / (2√(at)) dt

dx = a/(2x) dt

dt = (2/a) x dx

Plugging in:

∫ 15 sin x (2/a) x dx

30/a ∫ x sin x dx

Integrate by parts:

If u = x, then du = dx.

If dv = sin x dx, then v = -cos x.

∫ u dv = uv − ∫ v du

= 30/a (-x cos x − ∫ -cos x dx)

= 30/a (-x cos x + ∫ cos x dx)

= 30/a (-x cos x + sin x + C)

Substitute back:

30/a (-√(at) cos(√(at)) + sin(√(at)) + C)

-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C

Answer:

[tex]12.1 < Y < 35.1[/tex]

Step-by-step explanation:

Given

Sides: 11.5 and 23.6

Required

Determine the range of the third side

Let the third side with Y

Two of the following conditions must be satisfied to calculate the range of the third side

[tex]11.5 + Y > 23.6[/tex]

[tex]23.6+ Y > 11.5[/tex]

[tex]11.5 + 23.6 > Y[/tex]

We'll solve one after other

1.    [tex]11.5 + Y > 23.6[/tex]

[tex]Y > 23.6 - 11.5[/tex]

[tex]Y > 12.1[/tex]

2.    [tex]23.6+ Y > 11.5[/tex]

[tex]Y > 11.5- 23.6[/tex]

[tex]Y > -12.1[/tex]

3.    [tex]11.5 + 23.6 > Y[/tex]

[tex]35.1 > Y[/tex]

[tex]Y < 35.1[/tex]

Inequalities with negative can't be used' So, we have

[tex]Y > 12.1[/tex] and [tex]Y < 35.1[/tex]

Rewrite inequality

[tex]12.1 < Y[/tex]   and   [tex]Y < 35.1[/tex]

Combine inequality

[tex]12.1 < Y < 35.1[/tex]

Answer

2

Step-by-step explanation:

6+2=8     15/5*2=6       8-6=2

Answer:

6 would be the overlined number

Step-by-step explanation:

Answer:

6 will be the overlined number.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

First, frank buys 3 packs on 3 different days, so in those first 3 days he buys:

3*3 = 9 packs.

Then on other 3 days he buys 4 packs each day, so he has:

3*4 = 12 packs.

In total he haves:

9 + 12 = 21 packs.

Now he divides the packs with his 2 brothers (So we divide 21 packs between 3 people)

Then each brother gets:

N = 21/3 = 7 packs each.

Answer:

54.18

Step-by-step explanation:

I cannot see the statements you are given as options, but if x = y, and y = z, you can write that as x = y = z, which means that x = z also.

I hope this helps!

Answer:

Step-by-step explanation:

If x=y and y=z, then x=z.

Answer:

√45 =6.71

Step-by-step explanation:

[tex]\sqrt{45} = 6.708203932\\\\= 6.71[/tex]

Without the screenshot, it's fairly difficult to know what your teacher wants exactly. I found this similar problem

https://brainly.com/question/13583475

which might help. It sounds like you have 4 semicircles which can be thought of as a division problem 12/3 = 4. Note how I'm dividing by 3 which is the width of each section (eg: from 6 to 9 is 9-6 = 3 units)

Answer:

Which division problem does the number line below best illustrate?

A number line going from 0 to 2. Arrows go from 0 to 2, from 2 to 4, from 4 to 6, from 6 to 8, and from 8 to 10.

10 divided by 2 = 5

15 divided by 3 = 5

50 divided by 5 = 10

20 divided by 10 = 2

Step-by-step explanation:

which means its a

Answer:

9

Step-by-step explanation:

If A = - 3, than A^2 is equal to (-3)^2

If a number is squared (to power of 2), it is multiplied by itself (there are two of that number being multiplied together) so it is - 3x-3

-3 x - 3 = 9,

Because 3x3 =9 and a negative multiplied by a negative makes a positive.

Hope this helped!

Answer:

9

Step-by-step explanation:

(A)^2 is a better way to write it. That way the answer is unambiguous (-3)^2 = -3 * - 3 = 9

That is the answer.

Answer:

y= [tex]\frac{-3}{5}x -2[/tex]

Step-by-step explanation:

find the gradient by rearranging the equation, y= [tex]\frac{-3}{5}x[/tex] +[tex]\frac{18}{5}[/tex]

from here we can see that the slope or gradient is [tex]\frac{-3}{5}x[/tex]

now using the equation y-y2 = f'(x1)(x-1) we find the equation by subbing

= y- (-4) = [tex]\frac{-3}{5}[/tex] (x - [-10])

= y + 4 = [tex]\frac{-3}{5}x -6[/tex]

= y= [tex]\frac{-3}{5}x -2[/tex]

Answer:

The expressión is:

10(a+14) = 9a

and the number is:

-140

Step-by-step explanation:

The expression is:

10(a+14) = 9a

then:

10*a + 10*14 = 9a

10a + 140 = 9a

10a - 9a = -140

a = -140

Check:

10(-140+14) = 9*140

10*-126 = 1260

Answer:

z = 36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

If two angles form a linear pair, they are supplementary.

Step-by-step explanation:

A linear pair is two angles that are adjacent and the non-common sides form a straight line.

Answer:

They are supplementary

Step-by-step explanation:

A linear pair is two angles ajacent. The non - common side forms a straight line. So the angles added together are equal to 180 degrees.

Answer:

one solution

Step-by-step explanation:

-2|3x − 1| = 0?

Divide each side by -2

|3x − 1| = 0

3x-1 = ±0

Since +0 = -0 =0

3x-1 =0

There will be only one solution

Step-by-step explanation:

a) The distance is the integral of the velocity vs. time graph.  We can approximate the distance using a left hand Riemann sum.  That means for each interval, use the velocity at the beginning of the interval.  Don't forget to convert mi/hr to mi/s.

d₁ = (10 s − 0 s) (183.9 mi/hr × 1 hr / 3600 s) = 0.5108 mi

d₂ = (20 s − 10 s) (169.0 mi/hr × 1 hr / 3600 s) = 0.4694 mi

d₃ = (30 s − 20 s) (105.6 mi/hr × 1 hr / 3600 s) = 0.2933 mi

d₄ = (40 s − 30 s) (99.8 mi/hr × 1 hr / 3600 s) = 0.2772 mi

d₅ = (50 s − 40 s) (124.5 mi/hr × 1 hr / 3600 s) = 0.3458 mi

d₆ = (60 s − 50 s) (177.1 mi/hr × 1 hr / 3600 s) = 0.4936 mi

d = 0.5108 + 0.4694 + 0.2933 + 0.2772 + 0.3458 + 0.4936

d = 2.390 miles

b) Do the same as part a, but this time, use a right hand Riemann sum.  Instead of using the velocity at the beginning of the interval, use the velocity at the end of the interval.

d₁ = (10 s − 0 s) (169.0 mi/hr × 1 hr / 3600 s) = 0.4694 mi

d₂ = (20 s − 10 s) (105.6 mi/hr × 1 hr / 3600 s) = 0.2933 mi

d₃ = (30 s − 20 s) (99.8 mi/hr × 1 hr / 3600 s) = 0.2772 mi

d₄ = (40 s − 30 s) (124.5 mi/hr × 1 hr / 3600 s) = 0.3458 mi

d₅ = (50 s − 40 s) (177.1 mi/hr × 1 hr / 3600 s) = 0.4936 mi

d₆ = (60 s − 50 s) (175.6 mi/hr × 1 hr / 3600 s) = 0.4878 mi

d = 0.4694 + 0.2933 + 0.2772 + 0.3458 + 0.4936 + 0.4878

d = 2.367 miles

c) The velocity decreases from 0 s to 30 s, but then increases from 30 s to 50 s, and then decreases from 50 s to 60 s.

Since the velocity doesn't consistently increase or decrease, these Riemann sums are neither lower nor upper sums.

Answer:

The unit rate is 5 ft/1 second

Step-by-step explanation:

Unit rates must always be a fraction with a denominator of 1

Our unit rate is 125/25

To get to a denominator of 1 divide 25 by 25

25 ÷ 25 = 1 second

What we do to one side we have to do to the other so also divide 125 by 25

125 ÷ 25 = 5 ft

Answer:  All adults of United States.

Step-by-step explanation:

Here, the study is all about the problem have been facing by the population of U.S.

Since adults of a society are likely voters.

So, population = All adults of United States., as only they can address the current situation or problems because they live there.

Answer:

think the answer is E but not 100%. been a while. let me know either way

Answer:

10 months

Step-by-step explanation:

3500 - 2000 = 1500

1500/150 = 10

Answer:

On the 23rd month

Step-by-step explanation:

Answer:

Step-by-step explanation:

.....

Answer:

23+10r= 5+r

Step-by-step explanation:

let r be the number

Hey there! I'm happy to help!

Let's call the hamburgers h and the cheeseburgers c.

h+c=234

c=2h

Let's plug this value of c into the first equation to solve for h.

h+2h=234

3h=234

Divide both sides by 3.

h=78

Therefore, 78 hamburgers were sold on Thursday.

Have a wonderful day! :D

Answer:

CrO₃.

Step-by-step explanation:

We'll begin by calculating the percentage of chromium in the oxide. This can be obtained as follow:

Oxygen (O) = 48%

Chromium (Cr) =?

Oxide of chromium contains only chromium and oxygen. Therefore, the percentage of chromium in the oxide is given by:

Cr = 100 – percentage of oxygen

Cr = 100 – 48

Cr = 52%

Finally, we shall determine the empirical formula of the oxide as follow:

Chromium (Cr) = 52%

Oxygen (O) = 48%

Divide by their molar mass

Cr = 52/52 = 1

O = 48/16 = 3

Divide by the smallest

Cr = 1/1 = 1

O = 3/1 = 3

Therefore, the empirical formula of the oxide is CrO₃.

Answer:

The value of uw is 67

Step-by-step explanation:

Given that,

If uw= 6x-35...(I)

Line segment consists of points u,v,w

u to v is 19

v to w is 4x-20

We need to calculate the value of x

Using given data

[tex]uw=6x-35[/tex]

[tex]uv+vw=6x-35[/tex]

Put the value of u and w

[tex]19+4x-20=6x-35[/tex]

[tex]19+35-20=6x-4x[/tex]

[tex]34=2x[/tex]

[tex]x=\dfrac{34}{2}[/tex]

[tex]x=17[/tex]

We need to calculate the value of uw

Put the value of x in equation (I)

[tex]uw=6\times17-35[/tex]

[tex]uw=67[/tex]

Hence, The value of uw is 67

Answer:

B) c=25 +10p +5h

id expect 25 per night with the n variable next to it but i guessed not

, but one night would cost 25 but with the addition of 10 per person and 5 for every hour of a late checkout

Answer:

A

Step-by-step explanation:

C=25

25= How much she was Paid

p=People

1person is 10$

10$Was given in

10+

Late fee 5$

Then by there she gets Her 25

C=25-10p-5h