help me please!!!!!!!!!

Answer:

  3072

Step-by-step explanation:

The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...

  y = (initial value) × (growth factor)^(t/(growth period)

  y = 3 × (2^(t/(1/2)) = 3×2^(2t)

After 5 hours, the number of cells will be ...

  y = 3×2^(2·5) = 3×2^10 = 3×1024

  y = 3072

There are 3072 cells in 5 hours.

_____

Additional comment

The function could be simplified to ...

  y = 3×4^t

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Answer:

3x-8

Step-by-step explanation:

Use synthetic division:

5 | 3 -23 40

____ 15 -40_

    3  -8 | 0

Hence, another factor of the polynomial is 3x-8

Answer:

The slope = 1/6.

Step-by-step explanation:

The general form for a straight line  is

y = mx + c   where m is the slope

So in this case m = 1/6.

Answer:

£325 is €546

Step-by-step explanation:

325 times 1.68 is 546

Answer:

$56.25

Step-by-step explanation:

75%*75.00 = 56.25

Answer:

1:300

Step-by-step explanation:

The value in the sequence closest to 300 is 310

Arithmetic sequence is a sequence where each term increases or decreases by addition or subtraction of a constant term

the first term a = 30

common difference, d = 40

which term is closest to 300 we solve like this

300 / 40 = 7.5 say 7

the 7th term, T7 is solved by

T7 = a + ( n - 1 ) d

T7 = 30 + ( 7 - 1 ) 40

T7 = 30 + 240

T7 = 270

checking for the 8th term to confirm the nearest

T8 = T7 + d = T7 + 40

T8 = 270 + 40

T8 = 310

therefore the 8th term is closest and the value is 310

Read more on Arithmetic sequence here:

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Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

Answer:

x = 2

x = -1.5

Step-by-step explanation:

The graph is of function f(x) = x²

Therefore, to find where the function intersects with y = 0.5x + 3,

equal the functions and solve for x:

⇒ x² = 0.5x + 3

⇒ x² - 0.5x - 3 = 0

Multiply both sides by 2:

⇒ 2x² - x - 6 = 0

Factor:

⇒ 2x² - 4x + 3x - 6 = 0

⇒ 2x(x - 2) + 3(x - 2) = 0

⇒ (x - 2)(2x + 3) = 0

Therefore:

(x - 2) = 0  ⇒  x = 2

(2x + 3) = 0  ⇒  x = -1.5

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

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Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

Answer: 216.75 in^2

Step-by-step explanation: area = 8.5 x (8.5x3)

8.5 x25.5

Answer:

Yes

Step-by-step explanation:

4(3) - 28 = -16

12= -16 + 28

12 = 12

Hope that helps!

Answer:

y=3

Step-by-step explanation:

12y-4y=8y

8y=24

÷8. ÷8

y=3

Answer:

Formula for volume of cylinder;

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), and 'r' is the radius which is squared, and 'h' is the height.

Plug in your values:

V = π[tex]r^{2}[/tex]h

V = 3.14(9^2) x 4

V = 3.14(81) x 4

V = 254.34 x 4

V = 1,017.36^3 feet or 1,017.36 cubic feet.

Answer:

⠀

Step-by-step explanation:

⠀

⠀

We'll solve this using the Pythagorean Theorem.

Let,

⠀

We know that,

[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]

[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]

⠀

Therefore,

The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.

So, By Pythagoras theorem

[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]

[tex]x = \sqrt{16 + 64} [/tex]

[tex]x = \sqrt{80} [/tex]

Answer:

A... 12

Step-by-step explanation:

[11]

Equation: 180° - 75°

Measure: 105°

      A straight line has an angle measurement of 180°. Since we have GFB, 75°, we can find EFB this way.

[12]

Equation: 90° - 40°

Measure: 50°

      The little box in the angle shows that it is equal to 90°. Since they give us HGB, 40°, we can solve for EFB using this information.

Answer:

a)5.83cm

Step-by-step explanation:

You have to do 3² × 5² to get the length of AC (the diagonal length of the base of the rectangle) which is √70 or 5.83 rounded to 2 d.p.

not sure about the 2nd bit, but you may have to use trigonometry

Answer:

1,2,3

Step-by-step explanation:

1*8=8+4+12<28

2*8=16+4=20<28

3*8=24+4=28=28

The volume of this right prism that has a triangular base is equal to 108 cubic meters.

Mathematically, the volume of a right prism is given by this formula:

V = L x W x H

Where:

Given the following data:

Length of base = 6 meters.

Width of base = 4 meters. cm.

Height of prism = 4.5 meters.

Substituting the given parameters into the formula, we have;

V = 6 x 4 x 5

V = 108 cubic meters.

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Answer: 54 m³

Step-by-step explanation: proof with more answers

Answer: x>38

Step-by-step explanation:

By the exterior angle theorem, x=39+38=77.

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

The equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

A leading coefficient is the term that has the highest degree in a polynomial expression.

A constant is a term that has only numbers and contains no variable.

We are given the following equations:

The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.

Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

Learn more about leading coefficient on:

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Answer:

what are the options? the answer I got was a fraction 19/4

Answer:

Correct answer: a.

Computation:

{eq}\begin{align*} {\rm\text{Present}}\;{\rm\text{value}}\;{\rm\text{of}}\;{\rm\text{an}}\;{\rm{annuity}}\;

Step-by-step explanation:

Financing:

Financing is generally the method to provide funds to the business so that the business can grow its operations. There are generally two types of financing. These are: Equity financing and debt financing. In debt financing, there is no obligation and burden to repay the funds acquired by it. Debt Financing is comparatively Cheaper than the Equity Financing.So The Answer Is A

The amount that you pay over the lifetime of the loan is $21,445.5. Then the correct option is D.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Big Ed’s car dealership is running a special on 2008 trucks.

Big Ed offers financing at a rate of 6.71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle.

You are interested in a Car Crusher truck that costs $25,230.

Not including the down payment, the amount that you pay over the lifetime of the loan will be

⇒ (1 - 0.15) × $25,230

⇒ 0.85 × $25,230

⇒ $21,445.5

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area = pi x r²

3,14 x r² = 452,16

r² = 144

r = 12

Step-by-step explanation:

the outer left side is also 50 ft.

in inner (upper) left side is also 13 ft.

the bottom line is 10+20+11 = 41 ft

this is all possible because all the angles are clearly right angles (90°).

so, the perimeter is

2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft