The perimeter of a rectangular field is 354 yards. If the length of the field is 95 yards, what is its width?

Answers

Answer 1

Answer: The width of this problem is 449

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Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5).6x3 − 24x2 + 9x − 30
6x3 + 9x + 30
6x3 − 24x2 + 9x + 30
6x3 − 24x2 + 39x + 30

Answers

Answer:

Option 3rd is correct

$6x^3-24x^2+9x+30$

Step-by-step explanation:

Given the expression:

$(3x-6)(2x^2-4x-5)$

Multiply the first term of the first expression with second expression and second term of the first expression with second expression we have;

$3x(2x^2-4x-5)-6(2x^2-4x-5)$

using distributive property we have;

$6x^3-12x^2-15x-12x^2+24x+30$

Combine like terms we have;

$6x^3-24x^2+9x+30$

therefore, the correct simplification of the given expression is, $6x^3-24x^2+9x+30$

The answer is C: 6x^3 - 24x^2 + 9x + 30

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π) Area of a circle = πr2 0.02 bacteria per square millimeter 0.42 bacteria per square millimeter 2.39 bacteria per square millimeter 52.5 bacteria per square millimeter

Answers

The population density is 0.418 bacteria per mm².

What is Area of Circle?

A circle's area is the area that it takes up in a two-dimensional plane.

The formula for area of circle is, A = πr², where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.

Given:

Radius= 40 mm

So, Area of petri dish = πr²

= 3.14x(40 mm)²

= 3.14 x 1600 mm²

= 5024 mm²

and, Population Density

= 2100 / 5024

= 0.418 bacteria per mm²

Hence, the population density is 0.418 bacteria per mm².

Learn more about area of circle here:

brainly.com/question/28642423

#SPJ6

Population Density = # bacteria/area

Area = πr^2
= 3.14•(40 mm)^2
= 3.14•1600 mm^2
= 5024 mm^2

Pop Density = 2100 / 5024
= 0.418 bacteria per mm^2

The answer is 0.42 bacteria per square mm

Suppose that you want to model the height of a rider on a Ferris wheel as a function of time. The amplitude of the function you use as a model should be equal to which of the following?a. the area of the Ferris wheel
b. the circumference of the Ferris wheel
c. the diameter of the Ferris wheel
d. the radius of the Ferris wheel

Answers

Answer: d. the radius of the Ferris wheel

Step-by-step explanation:

We now that the amplitude is the vertical distance between a peak or a valley and the equilibrium point.

Thus in the case of Ferris wheel the amplitude should be the difference between the peak(highest) and equilibrium point or equillibrium point and valley(lowest) points .

i.e. it should be half of the diameter of the circle. Since half of diameter of a circle is equals to radius.

Therefore, the amplitude of the function you use as a model should be equal to the radius of the Ferris wheel.

The amplitude of the function you use as a model should be equal to d. the radius of the Ferris wheel. The amplitude should be half the difference between the highest (maximum) and lowest (minimum) points which is half of the diameter of the circle. It is known that half of the diameter is the radius of a circle.

If sin x = cos 54 degrees what is value x

Answers

Answer:

The Answer is 36 for anyone looking.

54x to the root of 98

What is 1.4 as a decimal?

Answers

You meant 1.4 as a fraction (1.4 is already a decimal)

1.4 as a fraction is one and two fifths, or 1 2/5 (or 7/5).

For which equation is x=-1/3 not a solutionA. 7+9x=4
B. 6x-5=7
C. 18+9/x=-9
D. 12x+8=4

Answers

The answer is B.

A. 7+9(-1/3)=4
B. 6(-1/3)-5= (-7)
C. 18+9/(-1/3)= (-9)
D. 12(-1/3)+8=4

Hope this helps

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