Yesterday, Ian walked 2/3 of a mile. Today, he walked 1/5 of a mile. How far did he walk altogether?

If h(s) = (s ⁴ - 5)², then by the chain and power rule,

h'(s) = 2 (s ⁴ - 5) • (s ⁴ - 5)'

By the power rule,

(s ⁴ - 5)' = 4s ³

so that

h'(s) = 8s ³ (s ⁴ - 5)

… = 8s ⁷ - 40s ³

Answer:

3.33

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The slope of the line is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-11 -1)/(2 -(-1)) = -12/3 = -4

Then the point-slope form of the equation for a line can be used to write the equation:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Using the first point, the equation is ...

  y -1 = -4(x +1)

__

Simplifying to slope-intercept form, we can find the y-intercept.

  y = -4x -4 +1

  y = -4x -3 . . . . . . . . slope-intercept form

The constant in this equation is the y-intercept: -3, point (0, -3).

Answer:

D

Step-by-step explanation:

Answer: 9 months.

Step-by-step explanation:

Simple interest = Principal x rate(in decimal)  x Time(in years)

Given: Principal = $15,000 , rate = [tex]5\dfrac12\%=\dfrac{11}{2}\%= 5.5\%= 0.055[/tex]

Interest =  $618.75

let t= time

Then,

[tex]618.75=15000\times 0.055\times t\\\\\Rightarrow\ t=\dfrac{618.75}{15000\times0.055}\\\\\Rightarrow\ t= 0.75\ or\ t=\dfrac34\ year[/tex]

1 year =12 months

[tex]\dfrac34\ year=\dfrac34\times12 = 9\ months[/tex]

Hence, it will take 9 months.

Answer:

D

Step-by-step explanation:

Since 2.7 is closer to 3 and shown in the graph.

Answer:

Step-by-step explanation:

Between the two diagrams, you have an isosceles triangle

The base is 26 on the triangle on the right, and 20 on the left triangle.

So that's the ratio used to create the proportion

26/20 = x/26            cross multiply

20x = 26 * 26

20x = 676                Divide by 20

x = 676 / 20

x = 33.8

Answer:

C. 12

Step-by-step explanation:

All rows must have the same number of cadets. If A company has 60 cadets and B company has 72 cadets

We find the factors of 60 and 70

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Then the greatest common factor is 12.

Therefore, the greatest number of cadets who can be in each row is 12 cadets.

Option C is the correct option.

Answer:

12 bro

Step-by-step explanation:

Answer:

pretty sure the answer is C) 54

Step-by-step explanation:

I'm in 10th grade and I been in advanced math for my entire life

Answer:

C) 54

And thanks I really needed it!

Answer:

wheres the graph

Step-by-step explanation:

Answer:

X - north

Y - north

Step-by-step explanation:

I took the test!

Answer:

it y x

Step-by-step explanation:

Answer:

2) 24 hours in a day

3) 1000

4) 3

5) 1000

6) 1000

Step-by-step explanation:

Step-by-step explanation:

2. 24

3. 1000

4. 3

5. 1000

6. 1000

Answer:

All you have to do is break apart the decimals and divide them to find your answer.

Step-by-step explanation:

Answer:

x=1   y=4

Step-by-step explanation:

8(1) =8

2(4) =8

8+8=16

Answer: 5

Step-by-step explanation:

1. 5x - 7 = 15

5x  = 25

x = 5

2. 7x + 5 = 40

7x = 35

x = 5

Answer:

speed = 3 miles per hour= 3 mi/h

Step-by-step explanation:

Answer:

First Picture:

Area = 36pi - 72

Perimeter = 6pi + sqrt(288)

Second Picture:

Area = 576

Perimeter = 48pi + 48

Step-by-step explanation:

First Picture:

Area:

To find the area of the first picture, we need to find the are of quarter of a circle  and the area of the triangle (notice we divide by 4 for the circle cause its a quarter of a full circle) .

A of triangle = (b * h )/2 = (12^2)/2 = 72

A of quarter of circle = (r^2 * pi)/4 = (144*pi*)/4 = 36pi

If you subtract the circle by the triangle, you get the shaded area:

36pi - 72

Perimeter:

We need to find the curve and the hypotenuse of our triangle (again, since we only have a quarter of a circle we must divide our perimeter by 4).

hypotenuse = sqrt (12^2 + 12^2) = sqrt (288)

curve = (2*pi*r) / 4 = 24pi / 4 = 6pi

So if we add these, we should have the perimeter

6pi + sqrt (288)

Second Picture:

Area:

we just need to know the area of the square because the semi circles cancel out cause they have the same diameter.

square = 24 * 24 = 576

576

Perimeter:

we need the perimeter of a semicircle and the sides of the square.

semi circle = d*pi = 24pi

sides of square = 24

Now our sum is...

(semi circle ) 2 + (sides of square) 2 = answer

Because our perimeter consists of two semicircles and two sides of the square. And this gives us...

answer = (24pi) 2 + (24) 2 = 48pi + 48

48pi + 48

Answer: 108

Step-by-step explanation: k= 180-72

Answer:

11/12

Step-by-step explanation:

3/4 = 9/12

2/3 =8/12

9/12 - 8/12 = 1/12

5/6 = 10/12

1/12 + 10/12 = 11/12

Answer:prism

Step-by-step explanation:

Answer:

A Scalene Triangle

Step-by-step explanation:

I hope this helps you out!

Answer:

169 students

Step-by-step explanation:

From the above question:

Total number of students surveyed = 260

Percentage of students that their favorite colour is red = 65%

Hence: The number of students that their favorite color is red is calculated as:

= 65% × 260

= 65/100 × 260 students

= 169 students

The number of students that their favorite color is red is 169 students

Answer: X is 3 here. Haven't done this math (don't know how to graph) but I found x so it should be hard from here :)

Good Luck

=)

Answer:

Number of children = x = 88

Number of Adults = y = 252

Step-by-step explanation:

Let us represent:

Number of children = x

Number of Adults = y

On a certain hot​ summer's day, 340 people used the public swimming pool.

Hence:

x + y = 340..... Equation 1

x = 340 - y

The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00.

$1.25 × x + $2.25 × y =$ 677

1.25x + 2.25y = 677..... Equation 2

Let us substitute: 340 - y for x in Equation 2

1.25(340 - y) + 2.25y = 677

= 425 - 1.25y + 2.25y = 677

Collect like terms

- 1.25y + 2.25y = 677 - 425

1y = 252

y = 252

Solving for x

x = 340 - y

x = 340 - 252

x = 88

Therefore the number of children and adults that swam at the public pool that​ day are: 88 children and 252 Adults.e

Answer:

D

Step-by-step explanation:

Yes.

Answer:

The maximum area possible is 648 squared meters.

Step-by-step explanation:

Let the length of the existing wall be [tex]\ell[/tex].

And let the width of the fence be [tex]w[/tex].

The area of the enclosure will be given by:

[tex]A=w\ell[/tex]

Since the area is bounded by one existing wall, the perimeter (the 72 meters of fencing material) will only be:

[tex]72=2w+\ell[/tex]

We want to maximize the area.

From the perimeter, we can subtract 2w from both sides to obtain:

[tex]\ell=72-2w[/tex]

Substituting this for our area formula, we acquire:

[tex]A=w(72-2w)[/tex]

This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex.

We can distribute:

[tex]A=-2w^2+72w[/tex]

Find the vertex of the quadratic. Using the vertex formula, we acquire that:

[tex]\displaystyle w=-\frac{b}{2a}=-\frac{(72)}{2(-2)}=18[/tex]

So, the maximum area is:

[tex]A=-2(18)^2+72(18)=648\text{ meters}^2[/tex]

Answer:

16

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

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