Select the best answer for the question.
4. A population of bacteria increases by 30 every hour. Is this situation linear or exponential? Why?
A
Fynonential bocou the fi​

Answer:

Step-by-step explanation:

volume =πr²h=π×7²×17≈2616.9 cm³

The volume of a cylinder is 2616.95 cubic centimeters.

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

The height of the cylinder h = 17 cm

Base radius of the cylinder r = 7 cm

We know the volume of a cylinder is given by:

[tex]\rm V = \pi r^2h[/tex]

[tex]\rm V = \pi\times 7^2\times17[/tex]

V = 833π cubic centimeters

V = 833×3.141592

V = 2616.94668 cubic centimeters or

V = 2616.95 cubic centimeters.

Thus, the volume of a cylinder is 2616.95 cubic centimeters.

Learn more about the volume here:

https://brainly.com/question/16788902

Answer:

42, because PQ is split in half and one side is 21, the 2 little lines going thru it show that both sides are equal meaning PQ is 42 bc of 21+21 therefore so is SR

Step-by-step explanation:

Answer:

this question is incorrect

Is this question incorrect ? Have u definitely put the correct question you have been asked ?

Answer:

Area of a trapezium = 1/2(a+b)×h

where a and b are parallel sides of the trapezium

h is the height

First question

We must first find the height of the trapezium using Pythagoras theorem

That's

h² = 8² -3²

h =√ 64 - 9

h = √ 55m

a = 7m

b = 10+3 = 13m

Area of the trapezoid = 1/2(7+13)×√55

= 1/2×20×√55

= 74.16

= 74m² to the nearest tenth

Second question

We use sine to find the height

sin30° = h/12

h = 12 sin 30°

h = 6 in

Let the other half of the parallel side be x

To find the other half of the parallel side we use Pythagoras theorem

That's

x² = 12²- 6²

x = √144-36

x = √108

x = 6√3 in

So for this trapezoid

a = 9 in

b = (9 + 6√3) in

h = 6 in

Area of the trapezoid = 1/2(9 + 9+6√3) × 6

= 1/2(18+6√3)×6

= 85.176 in²

= 85 in² to the nearest tenth

Hope this helps you

Answer:

The first (left) trapezoid's area is [tex]10\sqrt{55}[/tex]m or ≈ 74.2m²

The second (right) trapezoid's area is [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²

Step-by-step explanation:

First trapezoid (left):

Because the first trapezoid is a normal trapezoid, we can use the equation [tex]A = \frac{a+ b}{2} * h[/tex] Where a is equal to one base length and b is equal to the other base length and h is the height of the trapezoid.

a = 7

b = 13

h = [tex]\sqrt{55}[/tex]   ([tex]3^{2}+h^{2} = 8^{2}[/tex])

Plug into the equation:

[tex]A = \frac{7+13}{2} *\sqrt{55}[/tex]

A = [tex]10\sqrt{55}[/tex] or ≈74.2m²

Second trapezoid (right):

Not a normal trapezoid (split into a triangle and a square)

Let's solve for the triangle first:

using [tex]sin(30) = \frac{x}{12}[/tex] to find the right-hand side of the triangle we get x = 6

because this is a 30 60 triangle, the last side has to be [tex]6\sqrt{3}[/tex]

Now we can calculate the area of the figure:

Triangle is [tex]\frac{1}{2} * 6 * 6\sqrt{3} = 18\sqrt{3}[/tex]

Rectangle is 6 * 9 = 54

Area = [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²

Answer:

Step-by-step explanation:

Answer: D. FL | GK

Step-by-step explanation:

Assuming that it's a cube made of up line segments, you know that line FL and line GK are parallel because they will never intersect or meet.

Answer: C

Step-by-step explanation:

This is the answer because you have to multiply (x-1) on both sides and that will cancel out the denominator on the right. Then, multiply by x on both sides and that will cancel the denominator on the left side. When you do this, C should be your answer. Hope this helps :)

Answer:

Step-by-step explanation:

                                        [tex]\dfrac{5x+2}x=\dfrac{-12}{x-1}\\\\{}\quad\ \cdot x\qquad\ \cdot x\\\\5x+2\ =\ \dfrac{-12x}{x-1}\\\\\cdot (x-1)\quad \cdot (x-1)\\\\(5x+2)(x-1)=-12x[/tex]        

Answer: 2.5%

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:  

A = P (1 + r/n) nt  

Where:  

A = Future value of investment (principal + interest)  

P = Principal Amount  

r = Nominal Interest Rate (decimal form, 10/100= 0.1)  

n= number of compounding periods in each year (365)  

Replacing with the values given  

A=250(1+0.1/1)^t/1

A=250(1.1)^t

For a interest compounded annually, n=1, compounded quarterly n= 4 (4quarters in a year )

Interest rate 0.1 /4 = 0.025= 2.5%

Answer:

9.6%

Step-by-step explanation:

yw

Answer:

area of figure = area of rectangle + area of triangle

area of rectangle= length × width

6×4

24yd²

area of triangle= 1/2×base×height

1/2×3×4

3×2

=6yd²

area of figure= 24+6

= 30yd²

Answer:

area of figure = area of rectangle + area of triangle

area of rectangle= length × width

6×4

24yd²

area of triangle= 1/2×base×height

1/2×3×4

3×2

=6yd²

area of figure= 24+6

= 30yd²

Step-by-step explanation:

Answer:

A (in $USD) = 5,000(1 + .04/4)^4(8)

A = 5000(1 + 0.01)^32

A = 5000(1.01)^32

A = 5000(1.37494068)

A ≈ 6874.7034

A = $6875 or $6875.7 (depending on rounding requirement)

Step-by-step explanation:

Compound Interest Formula

A = P(1+ r/n)^n(t)

*If the interest is compounded monthly n = 12, if quarterly n = 4, if daily n = 365.

Answer:

-12

Step-by-step explanation:

6 ÷ -1/2

Copy dot flip

6 * -2/1

-12

Answer:

>

Step-by-step explanation:

On the left side, we divide first: 12/4=3

On the left side, we get 3+13, which equals 16.

On the right side, we also divide first: 22/2=11

On the right side, we get 11+2, which equals 13.

We know that 16 is larger than 13, so  

12 ÷ 4 + 13 > 2 + 22 ÷ 2

Hope this helps!

Answer:

>

Step-by-step explanation:

Answer:

C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.  

Step-by-step explanation:

Assume the graph of Cheryl's commute was like the one below.

We see that she started at 0 mph.  

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5,5 min later) her speed was still 65 mph, so she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, so she was decelerating.

Answer:

D

Step-by-step explanation:

on Edmentum

Answer:

[tex]2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt5-\sqrt{20}+\sqrt{45}[/tex]

It is the same process as in the last problem.

[tex]\sqrt5-2\sqrt{5}+3\sqrt{5}[/tex]

[tex]2\sqrt{5}[/tex]

Answer:

Your correct answer is 2√5

Step-by-step explanation:

√5 − √20 + √45 = 2√5

Answer:

Answer should be x^9

Step-by-step explanation:

This equation looks really complicted, but it's actually much easier when you break it down! First, your going to multiply the fraction 3/2 by 6 - since one is a fraction, youre going to find the GCF, or Greatest Common Factor, and reduce it. The GCF in this equation is 2, so we eliminate the two from the fraction (making it just 3) and divide 6 by 2 (getting 3). Thus, we are left with (x^3)^3 -> 3 x 3 = 9. So we are left with x^9. I hope this helps!

Answer:

Explanation:

Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Answer:

75%.

Step-by-step explanation:

The increase in miles = 3.5 - 2 = 1.5.

So the percent increase = (1.5 / 2.0) * 100

= 0.75 * 100

= 75%.

Answer:75%

Step-by-step explanation

Her progress 3.5-2=1.5

2 miles progressed by 1.5 miles

1 miles progressedby 1.5/2 miles

100 miles progressedby ( 1.5/2)x 100

=75℅

Answer:

the answer is A

Step-by-step explanation:

this this is because a is inversely proportional to b so therefore k becomes an inverse variation

Answer:

C) y = -(x + 3)2

Step-by-step explanation:

To vertically shrink the function by a factor of 1/2, we just need to multiply f(x) by 1/2 (This way the values in the y-axis will decrease by a factor of 1/2):

[tex]y = (1/2) * 2(x + 3)^2[/tex]

[tex]y = (x + 3)^2[/tex]

Now, to reflect the function across the x-axis, we just need to put a minus sign in the front of the function (so the values in the first and second quadrant will go to the third and fourth quadrant, that is, f(x) will be -f(x)):

[tex]y = -(x + 3)^2[/tex]

So the correct option is C)

Answer:

D. 9

Step-by-step explanation:

From the question, we are given the following information:

The number of tennis balls represented by P(n), in n layers of the square pyramid is given as

P(n) = P(n - 1) + n²

In other to solve for n, we would be taking some values for n

Step 1

Let's take the first layer,

n is represented by 1

n = 1

P(1) = P(1 - 1) + 1²

P(1) = 1 tennis ball.

Step 2

Let's take the second layer

n is represented by 2

P(2) = P(2 - 1) + 2²

P(2) = P(1) + 2²

Note that: P(1) above = 1

P(2) = 1 + 2²

P(2) = 5 tennis balls

Step 3

Let's take the third layer

n is represented by 3

P(3) = P(3 - 1) + 3²

P(3) = P(3 - 1) + 3²

P(3) = P(2) + 3²

Note that: P(2) above = 5

P(3) = 5 + 3²

P(3) = 14 tennis balls

Step 4

Let's take the fourth layer

n is represented by 4

P(4) = P(4 - 1) + 4²

P(3) = P(4 - 1) + 4²

P(3) = P(3) + 4²

Note that: P(3) above = 14

P(3) = 14 + 4²

P(3) = 30 tennis balls

We can continue this process, on and on

From the above solution for the number of the tennis balls in first four layers will be: 1, 5, 14, 30,

Hence, the number of tennis balls that Coach Kunal could not have is 9.

Answer:

when you wrote question there will be pin sign then you will attach any image   easily

Step-by-step explanation:

Answer:

Its the triangle one

Step-by-step explanation:

Just count them and you will see there are only 7 not 8 :)    

Answer:

Step-by-step explanation:

To get the product of the function (y x - 5)(y x + 5), we will have to expand the bracket as shown;

= (y x - 5)(y x + 5)

= (yx)² + 5yx-5yx- 5(5)

= (yx)² + 5yx-5yx- 25

=(yx)² +0- 5(5)

= y²x² - 25

The product is expressed as y²x² - 25

Answer:

The person above me is *almost* right. but the x's are exponents.

Step-by-step explanation:

The right answer is y^2x-25. I hope this helps you! <3

Answer:

x = 10

y = 70

Step-by-step explanation:

By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80

and 2x + y = 90

By using the substitution method on x + y = 80, it will be y = -x + 80

When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90

Then it will simplify to x = 10

After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70

Answer:

I think the answer is 7.2%

Step-by-step explanation:

2400-1680=720

720/100=7.2

7.2 is the answer

Hope this helps!

Answer:

2/5

Step-by-step explanation:

when looking at a graph remember rise  over run so go up 2 and over 5 and then you are now on an even space

Answer: A ,  i think it is 2/5

Step-by-step explanation: rise =2 run =5

Answer: y = -6x + 5

Step-by-step explanation:

equastion is y = dx + e

+) Because it perpendicular y = \dfrac{1}{6} x + 3

d \times \dfrac{1}{6} = -1

<=> d =  -1 : \dfrac{1}{6}

<=> d = -6

=> y = -6x + e;

+) Because it contains the point (-3; 23)

=> 23 = -6 \times (-3) + e

<=> e = 5

=> y = -6x + 5

Answer:

ab = 1/2.

Step-by-step explanation:

The sides of the large square have length √5 while the sides of the small one have sides of length 2.

Each corner has a right triangle with legs of length a and b and hypotenuse 2.

So we have the system

a + b = √5

a^2 + b^2 = 2^2 = 4

Using the identity   a^2 + b^2 =  (a + b)^2 - 2ab:

4 = (√5)^2 - 2ab

4 = 5 - 2ab

2ab = 5 - 4 = 1

ab = 1/2.

Answer:

40 cm

Step-by-step explanation:

the 414cm2 is eso they

Answer:

Step-by-step explanation:

2x^2+10x+12  greatest common factor is 2

2(x^2+5x+6)=

2(x+2)(x+3)