A scientist has four petri dishes of different sizes. each dish contains a different number of bacteria. a 3-column table has 4 rows. the first column has entries dish a, dish b, dish c, dish d. the second column is labeled population of bacteria with entries 7,200, 10,000, 13,650, 21,350. the third column is labeled area (millimeters squared) with entries 2,826, 7,850, 20,096, 31,400. find each population density, to the nearest hundredth. which statement is true? dish a has the lowest population density. dish c has the greatest population density. dish a and dish b have approximately the same population density. dish c and dish d have approximately the same population density.

Answer:

87.92

In this case we're trying to find circumference

Formula: c = pi×d

The problem says to use 3.14 for pi

c = 3.14 × 28 = 87.92

Answer:

sum of interior angles is 1440

Step-by-step explanation:

sum=(n-2)180

=(10-2)180

=8*180=1440

Answer:

[tex]\longmapsto \sf \: \: - 14x \cdot\sqrt{14x}[/tex]

Step-by-step explanation:

[tex] \sf \: if \: x > 0 [/tex]

[tex] \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } [/tex]

[tex] \sf Let's \: solve \: for \sqrt{56 {x}^{3} } \: first, \\\longmapsto \sf \sqrt{56 {x}^{3} } = \sqrt{14 \times 4 {x}^{2} \times x } \\ \sf \longmapsto \sqrt{56 {x}^{3} } = 4x \sqrt{14x} [/tex]

Substituting above value in given equation,

[tex]\longmapsto \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } \\ \longmapsto\sf 6x \sqrt{14x} - 5 \times 4x \sqrt{14x} \\ \longmapsto \sf \: 6x \sqrt{14x} - 20x \sqrt{14x} \\\longmapsto \sf \: \sqrt{14x}(6x - 20x) \\ \longmapsto \sf \: \: - 14x \cdot\sqrt{14x}[/tex]

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Answer:

Question 1 is statistical.

Question 2 is not statistical

Statistical means there will most likely be different answers, especially when it is being asked to several people. If it is a certain number for the answer it is considered not statistical.

The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any  trial and error.

For this case, the given quadratic expression is:

[tex]4x^2 + 28x + 49[/tex]

So we've to find two numbers such that:

Their sum = b =  28

Their product = [tex]ac = 4\times 49 = 196[/tex]

We can see that 196 is square of 14, and that 14 added twice forms 28, thus:

14 + 14 = 28

14×14 = 196

Writing b = 28 as sum of 14 twice, we get:

[tex]4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 = 2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49 = (2x+7)(2x+7)[/tex]

Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

Learn more about factorization of quadratic expression here:

https://brainly.com/question/26675692

Answer:

2

Step-by-step explanation:

If 8cm divided by 4cm = 2cm

Answer:

490.1 (If the radius is 6ft and height is 7ft)

571.8 (If the radius is 7ft and height is 6ft)

Step-by-step explanation:

A=2πrh+2πr2

Plug in the value for the radius and height. Then solve.

Answer:

114

Step-by-step explanation:

25% = 25/100 = 0.25

152 × 0.25 = 38

152 - 38 = 114

Answer:

$114

Step-by-step explanation:

152x0.75 = 114

Answer:

430 in^2

Step-by-step explanation:

Area of parallelogram =    base * height = 20 * 21.5 = 430 in^2

Answer:

12 divided by 1/9 is 1/108. In multiplication, its 1/108 * 12

Step-by-step explanation:

answer

7

Step-by-step explanation:

cause I said so

Answer:

m=3/4

Step-by-step explanation:

Explanation:

The slope of a line parallel to a line L has the same slope as line L.

6x−8y=−2

6x+2=8y

y=6/8x+2/8

Simplfied= y=3/4x+1/4

Therefore the answer is 3/4.

Answer:

A. ZA+ZB =180

B. ZA is 135 and ZB is 45

Step-by-step explanation:

Step-by-step explanation:since ZA and ZB are supplementary

ZA+Zb =180°

But ZA=3ZB

∴ 3ZB+ZB=180° ⇒4ZB=180°

∴ZB =45

Answer:

To find the last term, divide the coefficient of the middle term by 2 then raise to the power of 2,that will be :

[tex]( \frac{ - 12}{2} )^{2} = { - 6}^{2} = 36 [/tex]

Answer:

add 36

Step-by-step explanation:

The value of the number n as described in the task content which involves quotient is; 1.5 times 10 Superscript negative 18.

It follows from the task content interpretation that;

On this note, it follows that;

On this note, upon division, the value of n is;

Read more on quotients;

https://brainly.com/question/11418015

Answer:

It's A

Step-by-step explanation:

Answer:

i guess its A.

Step-by-step explanation:

I dont really know

The Area is a two-dimensional scalar quantity. The area of the composite figure is 264 cm².

The area of a two-dimensional region, form, or planar lamina in the plane is the quantity that represents its extent. On the two-dimensional surface of a three-dimensional object, the surface area is its counterpart.

The composite figure can be broken down into four parts a square(A), a triangle(B) and two rectangles(C and D).

Now, if the area of the composite figure is taken out it will be,

[tex]\text{Area of composite}=\text{Area of Square A} + \text{Area of triangle B} + \text{Area of Rectangle C} + \text{Area of Rectangle D}\\[/tex]

[tex]\text{Area of Composte}=(10^2)+(\dfrac12 \times 6 \times 4)+(8 \times 4)+(20 \times 6)\\\\\text{Area of Composte}= 100+ 12 + 32 + 120 =264\rm\ cm^2[/tex]

Thus, the area of the composite figure is 264 cm².

Learn more about the Area:

https://brainly.in/question/14759304

Answer:

LOL I ha te when that happens. I got you, I had the same issue

Step-by-step explanation:

Your answer is 44°

Your work

Type this:

27=98-x/2

54=98-x

x=44

Answer:

[tex]x^{9}[/tex] = ± 5

Step-by-step explanation:

([tex]x^{9}[/tex] )² = 25 ( take square root of both sides )

[tex]\sqrt{(x^{9})^2 }[/tex] = ± [tex]\sqrt{25}[/tex]

[tex]x^{9}[/tex] = ± 5

Check the picture below.

Area of bottom rectangle:-

Area of rectangle above it:-

Area of rectangle above it

Area of triangle:-

Total:-

Answer: $6.75

Step-by-step explanation:

Popcorn95 × 0.75 = 71.25

Candy35 × 1.20 =42

Totally 113.25

Deduct from 120

Drinks6.75

Answer:

7(2x + 5 - 3y)

Step-by-step explanation:

Looking at the Factors below the question, what do you notice?

I notice that 14, 35 and 21 all have a GCF of 7

With this, we can now start factoring, but before we start, keep in mind that we need to find terms that when multiplied with 7 give us 14x, 35, and -21y.

14x + 35 - 21y

7(2x + 5 - 3y)

Check you answer to make sure if results in our original expression:

7(2x + 5 - 3y) <== distribute seven

7(2x) + 7(5) + 7(-3y)

14x + 35 - 21y

Therefore, we have correctly factored the expression, and the correct answer is 7(2x + 5 - 3y)

Hope this helps!

Step-by-step explanation:

make the figure into 1 rectangle with dimensions 25 and w,and rite triangle with hypotenuse = 18 and h = 8

applying Pythagoras theorem

18^2 = 8^2 + b^2

b^2 = 260

b = 2√65ft

area of rectangle = 2√65 * 25= 50√65

area of triangle = 1/2 * 2√65*8 = 8√65

total area = 58√65 ft^2

Answer:

2 out of 3

ads asdf sad f ads f sad

Answer: v = 40mm * 25mm * 2mm = 2000 mm^3 so, the weight is 2000 mm^3 * .0005oz/1mm^3 = 1oz

Step-by-step explanation:

Answer:

7x+21

Step-by-step explanation:

Answer:

7x + 21

Step-by-step explanation:

Given

Solving

Answer:

Step-by-step explanation:

open the page below

Answer:

please read through the ten symbols of logic mathematics

its lang allam ko. human is rescures till hitman

Answer:

Step-by-step explanation:

a c d are the answer

Answer:

40 cm

Step-by-step explanation:

10cm*4cm=40cm