Solve for y. Round to the nearest whole degree.

Answer:

(a) The units of f'(s) is kilometer per liter

(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]

Step-by-step explanation:

Given

[tex]C = f(s)[/tex]

[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]

Solving (a): Unit of f'(s)

From the question, we understand that:

[tex]C = f(s)[/tex]

and

[tex]C = Litre/km[/tex] --- units

f'(s) is the inverse of C.

Hence:

i.e.

[tex]f'(s) = C^{-1}[/tex] --- units

So, we have:

[tex]f'(s) = (Litre/km)^{-1}[/tex]

[tex]f'(s) = Km/Litre[/tex]

Solving (b): Instantaneous rate of change at:

[tex]s = 90[/tex]

We have:

[tex]C = f(s)[/tex]

The change is calculated as:

[tex]\triangle = \frac{f(s)}{s}[/tex]

Substitute 90 for s

[tex]\triangle = \frac{f(90)}{90}[/tex]

Given that: [tex]f(90) = 0.02[/tex]

[tex]\triangle = \frac{0.02}{90}[/tex]

[tex]\triangle = 0.000222[/tex]

[tex]\triangle = 2.22 * 10^{-4}[/tex]

Answer:

[tex]n(t) = 400 + 40 t[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] --- initial

[tex]r = 40[/tex]  --- rate

Required

Write in mathematical notation

Using mathematical notation,in terms of n.

The given parameters can be rewritten as

[tex]n(0) = a[/tex]

[tex]n(0) = 400[/tex]

and

[tex]\frac{dn}{dt} = r[/tex]

[tex]\frac{dn}{dt} = 40[/tex]

The mathematical notation can be determined using:

[tex]n(t) = n(0) + \frac{dn}{dt} * t[/tex]

So, we have:

[tex]n(t) = 400 + 40 * t[/tex]

[tex]n(t) = 400 + 40 t[/tex]

Answer:

Step-by-step explanation:

To get the solution lying in the shaded region,

Justify the equation with the given options,

Option (1)

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

For (1, 1),

[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]

[tex]\frac{1+4}{16}\leq 1[/tex]

[tex]\frac{5}{16}\leq 1[/tex]

True.

Therefore, point (1, 1) justifies the equation.

Option (2)

For (4, 1),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]1+\frac{1}{4}\leq 1[/tex]

[tex]1\frac{1}{4}\leq 1[/tex]

False.

Therefore, point (4, 1) doesn't justify the equation.

Option (3)

For (-1, 2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+1\leq 1[/tex]

[tex]1\frac{1}{16}\leq 1[/tex]

False.

Therefore, point (-1, 2) doesn't justify the equation.

Option (4)

For (2, -2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{4}+1\leq 1[/tex]

[tex]1\frac{1}{4}\leq 1[/tex]

False.

Therefore, point (2, -2) doesn't justify the equation.

Option (1) will be the answer.

Answer:

b)   x = -7

Step-by-step explanation:

x = -7 is a vertical line

vertical lines are parallel to the y axis

Answer:

0

Step-by-step explanation:

0 is an integer.

plz mark as brainliest

Answer: 0

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

20 + .12m = 80

.12m = 60

m = 60/.12

m = 500

Answer:

3rd

Step-by-step explanation:

Answer:

[tex]x = 7[/tex]

[tex]y =16[/tex]

Step-by-step explanation:

Given

The attached image

Required

Find x and y

From the sign on each line, we have:

[tex]y - 4 = x + 5[/tex]

[tex]2x + 5 = x + 12[/tex]

Collect like terms

[tex]2x-x=12 - 5[/tex]

[tex]x = 7[/tex]

We have: [tex]y - 4 = x + 5[/tex]

Substitute [tex]x = 7[/tex]

[tex]y - 4 = 7+5[/tex]

[tex]y - 4 = 12[/tex]

So:

[tex]y = 12+4[/tex]

[tex]y =16[/tex]

Answer:

Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.

Answer:

Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.

Step-by-step explanation:

2 × 5 = 10

3 × 5 = 15

5 × 5 = 25

Answer:

6.3 billion people

Step-by-step explanation:

[tex]A=5(1.03)^t[/tex]

The "base year" is 1987 when there were 5 billion people.  That year corresponds to  t = 0  (t measures years after 1987)

That makes 1995 = 1995 - 1987 = 8, so t = 8.

Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]

Answer:

Find answers below.

Step-by-step explanation:

The question isn't so complete but I would have to improvise so as to assist you.

Therefore, let's assume the values given are diameters of the circle.

However, if it's the radius, you'll just have to use the formula 2πr.

Given the following data;

Pie, π = 3.14

1. Diameter = 15 cm

Mathematically, the circumference of a circle (C) with diameter (D) = πD

C = 3.14 * 15

C = 47.1 cm

2. Diameter = 34 inches

C = 3.14 * 34

C = 106.76 inches

3. Diameter = 300 mm

C = 3.14 * 300

C = 942 mm

4. Diameter = 20 cm

C = 3.14 * 20

C = 62.8 cm

5. Diameter = 62 cm

C = 3.14 * 62

C = 194.68 cm

Answer:

4000 kg

Step-by-step explanation:

Divide 3000 buy .75

Answer:

67*4 = 268 cards

hope this helps

Step-by-step explanation:

Answer:

you just need to *

Step-by-step explanation:

67 * 4 = 268!

have a lovely day and god bless you and ur family ! hope this helped

-lei

Answer:

115°

Step-by-step explanation:

x =180-65=115°

------

Answer:

should be C

Step-by-step explanation:

They are congruent

In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.

Answer:

504 in.^2

Step-by-step explanation:

Area = base times height

Answer:

    1,080 in.2

    1,260 in.2

✔ 1,620 in.2

    2,160 in.2

or C for the lazy people, don't sweat it - im lazy too

Answer:

A.,

Step-by-step explanation:

The probability the arrow will land on the section labeled Z and the coin will land with heads face-up will be 1/8. Then the correct option is A.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

A spinner has four equal sections labeled W, X, Y, and Z. A fair coin has faces labeled heads and tails. Edward will spin the arrow of the spinner and flip the coin one time each.

Then the total number of the events will be given as,

Total events = 4 x 2 = 8

The probability the arrow will land on the section labeled Z and the coin will land with heads face-up will be

Favorable event = 1 {(Z, H)}

P = 1/8

The probability the arrow will land on the section labeled Z and the coin will land with heads face-up will be 1/8. Then the correct option is A.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

English plss

Step-by-step explanation:

8

Step-by-step explanation:

8 × $70 = $560

20 × $140= $2800

$560 + $2800 = $3360

Answer:

28.3

Step-by-step explanation:

the formula for area is πr²

where π is 3.14

r is 3

area= 3.14 x 3²

area= 3.14 x 9

area= 28.28 approximately 28.3

Answer:

C : VALID

Step-by-step explanation:

Answer:

9weeks 2days = (9 × 7) + 2 = 63 +2=65 days

Step-by-step explanation:

Answer:

65 days

Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days

Answer:

-5

-8

49

Step-by-step explanation:

if a circle has a enter of (-5,-8) the first part looks like

(x+5)²+(y+8)²

to find the radius just plug in x=2 and y= -8

(2+5)²+(-8+8)²

7²+0=49

Answer:

y=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is the same way:

       we know that

if A , O and B lie on a straight line segment

then

∡AOY+∡YOZ+∡ZOB=180°

so

3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°

the answer is

x=36°

please mark me as brainliest

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)

Answer:

B. 60°

Step-by-step explanation:

minor arc KM = 2×30° = 60°

Answer:

45

Step-by-step explanation:

volume=length x width x height

5x3x3=45