If f(1) = 10 and f '(x) ≥ 3 for 1 ≤ x ≤ 6, how small can f(6) possibly be?

Hi,

Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.

Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4

Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.

But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.

Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.

Good Luck

Answer:

2b. R line is lower.

2c. It is lower because the y-intercept is negative.

Answer: ill take one for you john

Step-by-step explanation:

Answer:

The y intercept is 3

(0,3)

Step-by-step explanation:

4x+2y=6

To find the y intercept, set x =0 and solve for y

4(0) +2y = 6

0+2y = 6

Divide by 2

2y/2 = 6/2

y =3

The y intercept is 3

(0,3)

Using weighted average, it is found that she should score 67% on the computer science test.

In this problem, the proportions and scores are given by:

Then

[tex]0.32(300) + 200x = 0.46(500)[/tex]

[tex]200x = 0.46(500) - 0.32(300)[/tex]

[tex]200x = 134[/tex]

[tex]x = \frac{134}{200}[/tex]

[tex]x = 0.67[/tex]

She should score 67% on the computer science test.

A similar problem is given at https://brainly.com/question/24855677

Answer:

lotion 3,. suspension 2, capsule 1 , I think

Answer:

No, the HOA president was wrong because both murder and ice cream sales spiked during the summer months but slowly decreased during months in the spring, fall and winter times. This is an example of causation.

Step-by-step explanation:

I wouldn't put exactly that because i put that on mine but here's an idea!

Hope this helps! <3

Have a nice day/night!

Answer:

A U B U C = {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

This is the correct form

Answer:

A={1,4,5,6,7}

B={1,2,5,8,9}

C={3,4,5}

AUBUC= all elements of A,B,C

={1,2,3,4,5,6,7,8,9}

Answer:

Step-by-step explanation:

KE = ½mv²

KE₁₀ = ½(1100)10² = 55000 = 55 kJ

KE₃₀ = ½(1100)30² = 495000 = 495 kJ

9 times greater

Answer:

1. <

2. <

3. >

Step-by-step explanation:

Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.

1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2=32[/tex]

[tex]=32[/tex]

[tex]2^2 = 2\times2[/tex]

[tex]2\times2=4[/tex]

[tex]32\times4=128[/tex]

[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]

128 < 1024

2. [tex]2^2=2\times2=4[/tex]

[tex]5^2=5\times5=25[/tex]

[tex]4\times25=100[/tex]

[tex]=100[/tex]

[tex]2^{10} = 1024[/tex]

100 < 1024

3. [tex]2^5 = 32[/tex]

[tex]5^2=25[/tex]

[tex]32\times25=800[/tex]

[tex]10^2 = 10\times10 = 100[/tex]

800 > 100

Hope this helps.

Answer:

15:10

Step-by-step explanation:

15:10 can be reduced into 3:2 by dividing with 5

and 9:6 can be reduced to 3:2 by dividing with 3

keep smiling.

Answer:

D

Step-by-step explanation:

just got in edg 2021

Answer:

102°

Step-by-step explanation:

Angles in a straight line is added up to 180°

So,

Angle 1 + Angle 2 = 180°

Given that,

Angle 2 = 78°

We can find angle 1

Let us find,

Let the angle 1 be x

[tex]x+78=180\\x=180-78\\x=102[/tex]

As a and b lines are parallel,

Angle 1 = Angle 5 (Corresponding angles)

Also we already found the angle 1

So,

Angle 5 = 102°

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

yo

Step-by-step explanation:

Answer:

correct answer is 2

............................

Answer U4

Step-by-step explanation:

blank is 4

Answer:

OPN and QPS are corresponding angles

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex]                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5

Answer:

Shape: Not sure what to put

Domain: ( -oo, oo )

Range: ( -oo, oo )

Locater point: ( 0, 0 )

Step-by-step explanation:

Shape - You have the shape on the graph

Domain and Range - Both go on forever since there is no hole/interruption

Locater Point: I would say origin because it is the closest thing to a vertex, which is an example of a locater point.

Hopefully this helps!

Brainliest please?

Answer:

you did it right

Step-by-step explanation:

Answer:

Dividing the current value by the previous value ALWAYS equals 1.05.

Since the growth rate is constant, it is linear.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The relationship is linear when the rate of change is constant. It means the sequence of the dependent variable forms an arithmetic sequence.

We see the the sequence of Projected Value is not arithmetic but geometric sequence with common ratio of 1.05.

It will have equation:

This is therefore exponential.

Answer:

its should almost be certainly be A

Step-by-step explanation:

Answer:

For the first question, it's the third line, the second one after zero.

For the second question, it's the 7th line in total, the 6th one after zero.

Step-by-step explanation:

Divide the season pass cost by the daily capstone:

350 / 69 = 5.07

They would have to ski 6 days for the season pass to be less expensive

Answer:

$106

Step-by-step explanation:

So, this is what we know:

$6 per vehicle (1 bus) + $2 per person (50 people)

Here is the solution:

= $6 + $100

= $106

Answer:

im preety sure its 561500

Step-by-step explanation:

4.1% x 4 is 61500 + 500000 = 561500

Step-by-step explanation:

I think it is 44.

if wrong forgive me.

hope this helps.

Answer:

44

Step-by-step explanation:

1. To round a number to the nearest 10, look at the ones-digit. If the digit is 5 or more, round up (raise the score). If the digit is 4 or less, round down (let it rest).

2. The ones-digit in 44 is 4 or less, meaning we round down. The 4 in the ones-place becomes zero, and therefore, rounds to 40.

Therefore, the answer is 44.