Factor the expression 8x + 36

Answer:

A. S(t) = 50 [3 ln t/ln2 +1]

Step-by-step explanation:

We are told that the rate of change in sales S is inversely proportional to time.

Thus;

dS/dt = k/t

Where k is the constant of proportionality.

So,

dS = (k/t)dt

Integrating both sides gives us;

S = (kIn t) + C

We are given that after 2 and 4 weeks are 200 units and 350 units respectively.

Thus;

S(2);

(k In 2) + C = 200 - - - (eq 1)

(k In 4) + C = 350 - - - -(eq 2)

To find k, let's subtract eq 1 from eq 2 to get;

(k In 4) - (k In 2) = 350 - 200

(k In 4) - (k In 2) = 150

k(In 4 - In 2) = 150

0.6931k = 150

k = 150/0.6931

k = 216.42

Plugging this for k in eq 1 gives;

(216.42 In 2) + C = 200

C = 200 - 150

C = 50

Thus;

S(t) = (216.42In t) + 50

Now 216.42 can also be expressed as;

150/In 2

Thus;

S(t) = ((150/In 2)In t) + 50

Factorizing out gives;

S(t) = 50 [(3 ln t/ln2) + 1]

Option A is the correct answer

Answer:

B

Step-by-step explanation:

The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.

Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.

Answer:

x=3, y=9

Step-by-step explanation:

Mulriplying the first equation by 2 yields -10x+2y=-12.

Subtracting the second equation from this gives -17x=-51, and thus x=3.

Substituting this back into the first equation gives -15+y=-6, and thus y=9.

Answer:

The answer is translation :)

Answer:

Step-by-step explanation:

x2 - 2x - 15

x2 - 5x + 3x - 15

x(x - 5) + 3(x - 5)

(x - 5) and (x + 3) are the factors

Answer:

25

0

Step-by-step explanation:

Answer:

n(x)= 5

Step-by-step explanation:

2x+7 = 17

2x = 17-7

2x = 10

x = 5

Answer:

The probability of a white marble or black marble being drawn is 12/22.

Step-by-step explanation:

First, add all the marbles together.

6 + 10 + 4 + 2 = 22

10 + 2 = 12

= 12/22

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

93.83%

Step-by-step explanation:

2350 - 1200 = 1150

1150/1200 * 100 = 95.83%

Answer:

a

Step-by-step explanation:

Answer:

A I believe

Step-by-step explanation:

A I believe.

Answer:

368:2= 184

................

Final Answer: [tex]184[/tex]

Steps/Reasons/Explanation:

We will need to divide [tex]345 + 23[/tex] by [tex]2[/tex] to get the expression that is half as large of the sum of [tex]345 + 23[/tex].

Question: Which expression is half as large as the expression [tex]345 + 23[/tex]?

[tex]\frac{345+23}{2}[/tex]  = [tex]\frac{368}{2}[/tex] = [tex]184[/tex]

~I hope I helped you :)~

Answer:

(D). Opens up with vertex at (- 3, - 4)

Step-by-step explanation:

Vertex form of quadratic equation is f(x) = a(x - h)² + k

If a > 0 the parabola is facing up , or down if a < 0 .

(D). Opens up with vertex at (- 3, - 4)

Answer: X= 108125 and  Y  = 373125.

Step-by-step explanation:

Given system :

[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]

Consider (ii)

[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]

Multiply 10 on both sides , we get

[tex]10Y-X=265000 (iii)[/tex]

Add (i) and (iii)

[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]

Put this in (i)

[tex]X= 33500+0.2(373125) =108125[/tex]

Hence, X= 108125 and  Y  = 373125.

Answer:

7 and 2

Step-by-step explanation:

i did this before i know

The formula for the area of a circle (A) is A =Πr2.

r = 6 ft   Π = 3.14,

A = 3.14 x 62

A = 113.04 (which is an estimated answer because Π is estimated in this case).

Therefore, the answer would be D.  If you can use a calculator, then your answer will be more exact.  Just realize that the estimate will put you close enough to your answer in a multiple choice setting if a calculator is not available.

A = 3.14 x 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

statement/reason

1) X midpoint for WZ / given

2) WX≅XZ / definition of midpoint (divides a line segment in two congruent parts) (S)

3) X midpoint for VY/ given

4) VX≅XY / definition of midpoint (S)

5) ∠WXV≅∠YXZ / vertical angles are congruent (A)

6) ΔVXW≅ΔYXZ / SideAngleSide Theorem of Congruency

Answer and Step-by-step explanation:

The x-axis is a horizontal line

                               ^

                               |

                               |

(<-------------------------|-----------------------------> x

                               |                ^ This line is the x-axis

                               |

                              V

                                ^

                                |

                                |

(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x

                                |

                                |

                                |

                                |

                                |        A ● (4, -5)

                               V

The point is listed, labeled as A. To reflect, all we have to do is go up twice the absolute amount of the y value, so the absolute value of 5 times 2.

                                ^

                                |       A' ● (4, 5)  

                                |

                                |

                                |

                                |

(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x

                                |

                                |

                                |

                                |

                                |        A ● (4, -5)

                               V

This new point is labelled as A'.

(4, 5) is the new coordinate.

#teamtrees #WAP (Water And Plant)

Answer:

1/3p + 5

Step-by-step explanation:

1/3 of 15 is 5

If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5

Answer:

a) 1/3 (p+45)

Step-by-step explanation:

that's the answer

Answer:

expression 3

because expression 1 = 1

and expression 2 = 7

Answer:2.66

Step-by-step explanation:

The z-score for this delivery time is 2.67

A z-score is defined as the fractional representation of data point to the mean using standard deviations.

Given,

Restaurant delivers orders within 30 minutes

The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27

One particular order delivery took 35 minutes(X)= 35

ц = 27

σ = 3

X = 35

z-score = (X-ц )/σ

Substitute the values,

z-score =  (35-27 )/3

z-score = 8/3

z-score = 2.67

Hence, the z-score for this delivery time is 2.67.

Learn more about z-score

https://brainly.com/question/13793746

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Answer:

X < -3

Step-by-step explanation:

First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.

4x - 28 > 14x + 2

you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal

-28 > 10x + 2

you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2

-30 > 10x

divide both sides by 10 to get x by itself

-3 > x

which is the same as x < -3

Answer:

91 ft ≤ (7 ft)n   or   n ≤ 13

Step-by-step explanation:

total amount of edging is

e(n) ≤ 4 ft + (7 ft)n  

This inequality relates the total length of edging to the number of 7 ft rolls needed.

If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n  as

95 ft ≤ 4 ft + (7 ft)n

which simplifies to

91 ft ≤ (7 ft)n   or   n ≤ 13

Natalia must purchase 13 rolls.  This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.

Answer:

-6

Step-by-step explanation:

Answer:

m=2, b=-3

Step-by-step explanation:

y=2x-3

m = 2

b = -3