261,256,251,...
Find the 50th term.
Find the 50th term.

[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]

Answer:

x1 = 3.618, x2 = 1.382

Step-by-step explanation:

ln(5-x) = ln5 - lnx

ln(5-x) + ln(x) = ln5

ln(5x-x^2) = ln5

5x-x^2=5

0=x^2-5x+5

x = -(-5)±√((-5)²-4(1)(5)) / 2(1)

x = 5±√(25-20) / 2

x = 5±√5 / 2

x1 = 3.618, x2 = 1.382

Answer:

0,1,2,3,4,5,6,7,8,9

Step-by-step explanation:

: probability of meeting someone with a phone number that ends with 3 .....

= 3/total amount of no ×100

3÷10= 0.3

: 0.3×100= 30% probability.

Assuming a phone number is 10 digits long and the last digit can be any of the 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9) with equal probability, the probability of randomly meeting someone with a phone number that ends in 3 is 1/10, or 0.1.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

If the phone number is 10 digits long, there are 10 possible digits that could be at the end. Since only one of those digits is a 3,

the probability of randomly selecting a phone number that ends in 3 is:

1/10 = 0.1 or 10%

Learn more about probability here:

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Answer:

1

Step-by-step explanation:

They want you to do 53/4 and use the remainder as the answer, because you cannot have more than 4 cards on the page. 53/4 is 13 with a remainder of 1

there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles

there are 18 marbles in total

8/18

Answer:

1/9 or 11.1%

Step-by-step explanation:

16 out of 18 are red

1/8 are red plastic

16/18 x 1/8 = 16/144 or 1/9

Answer:

Answer:

The answer is supposed to be (2,-3), but for some reason I don't see it as one of the choices.

(Please don't get mad or report this answer, the work is below, so you may see for yourself.)

Step-by-step explanation:

Since y equals both -6x + 9 and -3x + 3, we will simply write them into one equation:

-6x + 9 = -3x + 3

Next we will solve for x by isolating it:

So, first subtract 3 on both sides to get -6x + 6 = -3x. Next add 6x on both sides to get 6 = 3x. Then finally divide by 3 on both sides to get 2 = x or you can flip it to be x = 2.

Now that we know what x is, we can plug it back into one of the original equations. In this case we'll plug it into y = -3x + 3:

y = -3(2) + 3

-3 × 2 = -6 and -6 + 3 = -3

So: y = -3

Now we can plug each into an ordered pair (x,y), and your answer is (2,-3).

As always, don't forget to check your work (It's correct btw, I already checked) and I hope this helps you :)

Answer:

x=2, y=-3. (2, -3).

Step-by-step explanation:

y=-6x+9

y=-3x+3

-----------

-6x+9=-3x+3

-6x-(-3x)+9=3

-6x+3x=3-9

-3x=-6

3x=6

x=6/3

x=2

y=-6(2)+9

y=-12+9=-3

The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.

Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.

The amount of pizza that they eat altogether will be given as,

⇒ 2/3 + 1/2

Add the fraction, then we have

⇒ 2/3 + 1/2

⇒ (4 + 3) / 6

⇒ 7 / 6

The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

Step-by-step explanation:

Third level polynomial, so three factors

Only whole numbers, so only whole number x⁰ factors

whole number factors of 3 are 1,1,3 or 1,-1,-3 or -1,-1,3

let's try (x + 3) as a factor

                    x² + 2x + 1                      

x + 3 | x³ + 5x² + 7x + 3

      -   x³ + 3x²

                  2x² + 7x

              -   2x² + 6x

                              x + 3

                          -   x + 3

                                    0

so (x + 3) is a factor and x² + 2x + 1 factors to (x + 1)²

x³ + 5x² + 7x + 3 = (x + 3)(x + 1)(x + 1)

Answer:

View the link for the answer

Answer:

14

Step-by-step explanation:

154/11 = 14

(✿◡‿◡) HAPPY HOLIDAYS!!! <3

Answer:

7.2q + 14.64

Step-by-step explanation:

Distribute 2.4 to what is inside of the parentheses and you will find this answer.

I hope this helps!!

Answer:

7.2q + 14.64

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

A probability cannot be more than 100%

The type of savings is the saving of uniform amount with interest applied to the sum of the amount in the account.

Reasons:

The amount saved per month = $150

Amount saved per year, A = 12 × $150 = $1,800

The interest rate on the account, i = 5%

The amount, F, in the account after 15 years is given as follows;

The uniform series compound amount factor formula is presented as follows;

[tex]\displaystyle F = \mathbf{\frac{A \cdot \left[ \left(1 + i \right)^n - 1 \right]}{i}}[/tex]

Therefore;

[tex]\displaystyle F = \frac{1,800 \times \left[ \left(1 + 0.05 \right)^{15} - 1 \right]}{0.05} \approx \mathbf{38,841.4}[/tex]

The amount the account is worth after 15 years to the nearest cent is approximately $38,841.4.

Learn more about compound interest here:

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Answer:

Step-by-step explanation:

r = 2.1 feet

h = 14 feet

V = pi r^2 h

V = 3.14 * 2.1^2 * 14

V = 193.85

Let h = 28 feet

V = pi * r^2 * h

V = 3.14 * 3.2^2 * 28

V = 387.72

If you divide 387.72 by 2 you get 193.86

The difference in the hundreds place comes about because of the rounding that took place.

The answer to your question is you must double the height,

Answer:

If the die is 6 sided then the likely is none (0)

Step-by-step explanation:

Hope this helps!:)

Answer:

54

Step-by-step explanation:

Answer:

1/6 gallon

Step-by-step explanation:

Total juice = 2/3 of container

Total people = 4

Juice for 1 people = 2/3/(4)

=> 2/3 × 1/4

=> 1/3 × 1/2

=> 1/6

From the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

Given the graph given that represents the data that was collected by students shows the following:

In summary, from the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

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Answer:

5/253

Step-by-step explanation:

The first green is 7/23, the second is 6/22 and the red is 5/21. Multiply them together for 5/253.

Answer:

Step-by-step explanation:

There are multiple ways to do this, but I'll go with the first one I learned and the simplest.

So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.

Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b

By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.

Answer

Step-by-step explanation:

Answer:

$112.50

Step-by-step explanation:

1.5% = 0.015

$2500 × 0.015 × 3 = $112.50

Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).

The signal rules for the quadrants of a point (x,y) are as follows:

In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).

You can learn more about quadrants at https://brainly.com/question/25900520

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)

Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)

Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)

Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)

The cook needs to add 21.3 ounces of water to obtain the concentration

The cook has 32 ounces of 5% apple cider vinegar.

The total apple cider vinegar the cook has is:

[tex]Total = 32 \times 5\%[/tex]

[tex]Total = 1.6[/tex]

Let the quantity of water be x.

To dilute 3% apple cider vinegar, the cook would make use of the following equation

[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]

So, we have:

[tex]Total = 3\%\times (32 + x)[/tex]

Substitute 1.6 for total

[tex]1.6= 3\%\times (32 + x)[/tex]

Divide both sides by 3%

[tex]53.3=32 + x[/tex]

Subtract 32 from both sides

[tex]53.3-32= x[/tex]

[tex]21.3= x[/tex]

Rewrite as:

[tex]x = 21.3[/tex]

Hence, the cook needs to add 21.3 ounces of water

Read more about concentration at:

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Answer:

option b

Step-by-step explanation:

[tex] {x}^{2} - 2x - 15[/tex]

[tex] {x}^{2} - 5x + 3x - 15 = 0[/tex]

[tex] x(x - 5) + 3(x - 5) = 0[/tex]

[tex](x - 5)(x + 3) = 0[/tex]

x = -3 (Not possible)

x = 5

So, x = 5

Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive

=======================================================

Explanation:

Recall we have these rules

Here is one example for each rule

So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.

Answer:

check online for more information