Visna had 5 comic books. His brother gave him 4 more comic books. Visna bought some more comic books at the store. Now he has 15 comic books. How many comic books did Visna buy at the store?

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:

[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:

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:  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:

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:

√45 =6.71

Step-by-step explanation:

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

Answer:

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

Answer:

Step-by-step explanation:

.....

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:

0.16

Step-by-step explanation:

The calculation of probability by applying the is shown below:-

It is evident from the pedigree that the mode of inheritance is recessive and the characteristic is recessive that's also phenotype of disease is only seen if the genotype is aa.

The genotype of 1. In pedigree Can be either AA or Aa.

The chance that the offspring of the [tex]3\times 7[/tex] cousin marriage will have the characteristic is

[tex]= \frac{1}{6}[/tex]

which gives results

= 0.16

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:

110.7 inches

Step-by-step explanation:

Width : Height ( 46:30 )

Width is 46 and Height is 30

So 46 = 170 inches

1 = ?

1 = 170/46

=3.69 inches.

To know the height, multiply that(3.69) with 30. And you will get the inches of the height which is "110.7 inches"

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:

True

Step-by-step explanation:

Answer:

z = 36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e ([tex]x_o, y_o, z_o[/tex]) and are parallel to [tex]\dfrac{x+5}{1} = \dfrac{y}{2}= \dfrac{z-3}{1}[/tex]

The parallel vector to the line i + zj+k = ai + bj + ck

Hence, the equation for the line is :

[tex]x = x_o + at \\ \\ x = y_o + bt \\ \\ x = z_o + ct[/tex]

x = 4 + t

y = -5 + 2t

z = 2 + t

Thus, x, y, z = ( 4+t, -5+2t, 2+t )

The symmetric equation can now be as follows:

[tex]\begin {vmatrix} x = 4+ t \\ \\ \dfrac{x-4}{1} = t \begin {vmatirx} \end {vmatrix}[/tex][tex]\begin {vmatrix} y = - 5+2t \\ \\ \dfrac{y+5}{2} =t \end {vmatrix}[/tex][tex]\begin {vmatrix} z =2+t \\ \\ \dfrac{z-2}{1} =t \end {vmatrix}[/tex]

∴

[tex]\dfrac{x-4}{1}= \dfrac{y+5}{2}=\dfrac{z-2}{1}[/tex]

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

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:

6 would be the overlined number

Step-by-step explanation:

Answer:

6 will be the overlined number.

Step-by-step explanation:

Answer

2

Step-by-step explanation:

6+2=8     15/5*2=6       8-6=2

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

Answer:

10 months

Step-by-step explanation:

3500 - 2000 = 1500

1500/150 = 10

Answer:

On the 23rd month

Step-by-step explanation:

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

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:

23+10r= 5+r

Step-by-step explanation:

let r be the number