The derivative of the function f is given by f′(x)=x^2−2−3xcosx. On which of the following intervals in [−4,3] is f decreasing?

Answer:

C = 36°, 57°, 87°

Step-by-step explanation:

scalene = all angles are different.

acute = all angles are under 90°.

triangle = all angles add up to 180°.

The only option that works for this is C) 36°, 57°, 87°

Answer:

5.794

Step-by-step explanation:

The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.

9514 1404 393

Answer:

  8167.14 m²

Step-by-step explanation:

The radius of the circle is half the diameter, so is 51 m. The area of the circle is given by the formula ...

  A = πr²

Filling in the given numbers, we find the area to be ...

  A = 3.14(51 m)² ≈ 8167.14 m²

1) Note that in the problem above, the complete table is given as:

Team Number:     1             2      3           4           5

Best Jump (ft)       20.6    21.5    20.9      19.4        20.2

2) If Best Jump is denoted as y and Team number as x then, Best Jump is the Range while Team Number is the Domain.

3) For each element of the domain, there is a corresponding element of the range. So this relation is a function.

Domain and range are crucial characteristics that aid in the definition of a relationship. The domain is a collection of input values.

The independent variable represents these values, which are graphed on the axis of a coordinate graph. A function's range is its collection of output values.

Learn more about Range:
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Answer:

pi is considered to be irrational because it is a non-terminating, non-repeating decimal

Step-by-step explanation:

Answer:

price per can is 0.5

Step-by-step explanation:

Answer: Statement 2 (P(odd number) = 1/2) is true

Step-by-step explanation:

Statement 1: there are 4 even numbers (2, 4, 6, 8) so therefore a 1/2 chance, not a 1/8. [FALSE]

Statement 2: there are 4 odd numbers (1, 3, 5, 7) so therefore a 1/2 chance, so this is true. [TRUE]

Statement 3: 8 is the biggest number, so there are 7, not 1, numbers less than it. [FALSE]

Statement 4: there is no 9 on an 8 sided cube. [FALSE]

Work Shown:

area = length*width

length = area/width

length = 3162/51

length = 62 meters

Answer:

a. Their down payment is 25% of the purchase price.

Calculation:

Down payment ÷ Purchase price = Percentage

$35,000 ÷ $140,000 = 0.25 = 25%

b. A $7,000 down payment would be 5% of the purchase price.

Calculation:

Down payment ÷ Purchase price = Percentage

$7,000 ÷ $140,000 = 0.05 = 5%

Answer:

19.6

Step-by-step explanation:

The ratio of brown paint to white paint is, 5:7 or [tex]\frac{5}{7}[/tex] so if he bought 14 gallons of white paint we need to figure out:

[tex]\frac{5}{7} =\frac{14}{x}[/tex]

which we can as it only has one unknown:

5x=14×7

5x=98

x=19.6

So the answer is 19.6

Answer:

B. 19.6 gallons

Step-by-step explanation:

5 Gallons of Brown ⇒ 7 Gallons of White

14 Gallons of Brown ⇒ x

x = 7 into 14 / 5

x = 98 / 5

x = 19.6

HOPE IT HELPS :)

Answer:

25

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:he will save 100 $

Step-by-step explanation:

Answer: $142

Step-by-step explanation: assume 20miles per gallon.

Then 0.05 gallon per mile.

35psi gives 30/35= 0.85 times the surface on the ground, gives square 0.85^2= 0.73 times more deflection so heatproduction a cycle or at same speed. This gives more fuelconsumption.

I once determined that when driving 50mph/80kmph constant, tires use 25% of the total fuel-consumption.

Higher speed same fuelconsumption by the tires, but more bij the higher speed. But to keep it simple only 50mph.

The fuelconsumption at 30 psi 0.05 gpm, 25% by the rolling resistance is 0.0125mpg. 35psi ,0.73 x0.0125=0.0091gpm.

The windforce stays the same 75% of total is 0.0375mpg+ 0.0091= 0.0466mpg,0.0466gpm/0.05= 93% used of fuel with 35psi then at 30 psi.

So 21000mpj x 0.05gpm= 1050 gallon

21000mpjx 0.466gpm= 979gallon.

Saving 1050-979= 71 gallonx $2= $142

Rounded here and there, and other speeds give other divisions, but to show the idea how to calculate it.

Also if 25% used is right is discussable.

Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².

In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.

Refer to the attachment for step by step solution. :)

The area of the board that can be seen is  11.44 decimeter square.

The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.

Area of a circle = πr²

Where :

3.14 x 2² = 12.56 d²

Area of the rectangle = length x width

6 x 4 = 24

Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Answer:

p = 3

Step-by-step explanation:

20 beacuse you need hiking boots to hike

Answer:

25

Step-by-step explanation:

let x = # of participants on the hike

(.80)x = 20

x = 20/0.80 = 25

Answer:

62ft²

Step-by-step explanation:

Hi there!

Surface area is calculated by this formula:

2(length*width)+2(width*height)+2(length*height)

*note: we multiply each area by 2, as the prisim has 6 faces, or 2 of each face

we're given a length of 5 ft, a width of 2 ft, and a height of 3ft

now let's calculate the surface area

to find the area of the first two faces:

2(length*width)

2(5*2)

2(10)

20 ft²

now to find the area of the second two faces:

2(width*height)

2(2*3)

2(6)

12 ft²

finally, find the area of the last two faces:

2(length*height)

2(3*5)

2(15)

30 ft²

now add up all the values

SA=20+12+30=62 ft²

your answer is 62ft²

Hope this helps!

Answer: Option 2

Step-by-step explanation:

[tex]-7(3x-7)+21x \geq 50\\\\-21x+49+21x \geq 50 \\\\49\geq 50[/tex]

This is false, so there are no solutions.

Answer:

a = 327 m²

Step-by-step explanation:

Area of bed

r = 22/2 = 11

a = 3.14(11²)

a = 379.94

Area of bed and sidewalk

r = 11 + 4 = 15

a = 3.14(15²)

a = 706.5

Area of sidewalk

a = 706.5 - 379.94

a = 327 m² (rounded to whole number

Answer:

5.4 cm^2

Step-by-step explanation:

Given,

Height ( h ) = 2 cm

Base ( b ) = 5.4 cm

To find : Area ( triangle ) = ?

Formula : -

Area ( triangle ) = bh / 2

Area ( triangle )

= 5.4 x 2 / 2

= 5.4 cm^2

the base timed by the height

Answer:

5 hours

Step-by-step explanation:1 over 5 of an hour is 20 minutes. 20 minutes = 1 over 15 of lawn.

20 x 15 = 300

300 divided by 60 = 5 (hours)

Answer:

34/10 is equivalent to 17/5 because 17 x 2 = 34 and 5 x 2 = 1051/15 is equivalent to 17/5 because 17 x 3 = 51 and 5 x 3 = 1568/20 is equivalent to 17/5 because 17 x 3 = 68 and 5 x 3 = 20

Step-by-step explanation:

hii, how are you

The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = √x

The function after the transformation, then we have

f(x) = √(x - 7) + 2

The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,

x - 7 ≥ 0

x ≥ 7

More about the function link is given below.

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Answer:

B

Step-by-step explanation:

45-45-90

find hypotenuse: leg × root 2

[tex]8 \times \sqrt{2} [/tex]