Find the largest integer $n$ for which $12^n$ evenly divides $20!$.

Answer:

A. (x-4)(x-4)

Step-by-step explanation:

Note that (x+a)(x+b)=x²+(a+b)x+ab.

Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.

Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).

We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.

So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).

Answer: A.  [tex]3x^{12} - 2x + x^5[/tex]

Step-by-step explanation:

A. [tex]3x^{12} - 2x + x^5[/tex]

Here, highest exponent = 12

Degree of polynomial =12

B. 8x-200

Here, highest exponent = 1

Degree of polynomial =1

C. [tex]15x^3 + 3x^2 - 10[/tex]

Here, highest exponent = 3

Degree of polynomial =3

D. [tex]150x^3[/tex]

Here, highest exponent = 3

Degree of polynomial =3

Option A. has the polynomial with the highest degree as 12.

Answer:

A. 3x12 - 2x + x5

Step-by-step explanation:

Hope this helps

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

This seems more like a physics questions, but i'll help you  :P

the circle is 8 feet across or a radius of 4 feet

circumference of the circle is 2[tex]\pi[/tex]r  = 25.132741 feet

it's going around 420 times a minute

420 * 25.132741 = 10555.75132 feet per minute

10,555.75

Answer:

[tex]A=202\ cm^2[/tex]

Step-by-step explanation:

Given that,

The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.

The formula for the surface area of the prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Put all the values,

[tex]A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2[/tex]

So, the required surface area of the prism is equal to [tex]202\ cm^2[/tex].

Answer:

Rate of change = -0.2

Step-by-step explanation:

Given:

(-3, 3.6) and (5, 2)

Required:

Rate of change

Solution:

Formula for rate of change = change in y/change in x = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

(-3, 3.6) = (x_1, y_1)

(5, 2) = (x_2, y_2)

Plug in the values into the equation:

Rate of change = [tex] \frac{2 - 3.6}{5 -(-3)} [/tex]

Rate of change = [tex] \frac{-1.6}{8} [/tex] = -0.2

Answer:

73/100

73 over 100

Answer:

1/3

Step-by-step explanation:

48+32+16=96

numerator : 32

denominator : 96

32/96=1/3

Answer:

the area of the small square 4c

the total area of the 4 triangles is 2ab

a^2+2ab+b^2 = a^2+2ab+b^2

subtracting gives 2ab from both sides gives us a^2+b^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

result = 15cm

Step-by-step explanation:

Hi! to can solve this, we have to keep in mind this formulas:

A1 = π [tex]r^{2}[/tex]                     ; where r = radius

A2 = (π [tex]r^{2}[/tex]) * (h)           ; where h= height

now  we solve:

first, we have to calculate the area of the circumference

A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]

then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:

A2 = (π [tex]r^{2}[/tex]) * (h)  

h = 15cm

Answer:

loluuuhsjsjzjjnsjs

Step-by-step explanation:

bzisjsjxjshsusud773938

Answer:

325 dollars

Step-by-step explanation:

find 10% of 39000 3900 then divide it by 12 months which is 325 every month

Answer:

2%

Step-by-step explanation:

Hello, to find the percentage of 8 and 400, you simply divide 8 over 400 and you get 2%.

Answer:

2%

Step-by-step explanation:

[tex]\frac{8}{400} =\frac{y}{100}[/tex]

Cross multiply.

400y = 800

400y ÷ 400 = 800 ÷ 400

y = 2

Answer:

Step-by-step explanation:

This doesn't factor. Not only that, but it does not give real results. The discriminate is negative.

a = 2

b = 4

c = 10

You could divide this equation by 2

a = 1

b = 2

c = 5  

These three are smaller and easier to calculate. The answer will be the same.

x = (- b +/- sqrt(b^2 - 4*a*c ) / (2 a)

x = (-2 +/- sqrt(^2 - 4(1)*(5) ) / 2*1

x = (-2 +/- sqrt(4 - 20) ) / 2

X = (-2 +/- sqrt(-16) ) /2

x = (-2 +/- 4i ) / 2

x = ( - 1) +/- 2i

Answer:

23

Step-by-step explanation:

Answer:

The last option is your answer

Step-by-step explanation:

Use this link to find your answer

https://lalinks.org/linksweb

Use the combination formula.

5 C2 = 5!/5!3! = 10

The answer is 10

Answer:

10

Step-by-step explanation:

Answer:C

Step-by-step explanation:I took the test got a

The probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60 is 157/456.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given is table showing the results of a survey on the number of text messages per month for people of different ages.

we need to find the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60,

P(E) = favorable outcomes / total outcomes

Favorable outcomes = 157

Total outcomes = 456

Hence the required probability = 157 / 456

Hence the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60 is 157/456.

Learn more about probability click;

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Answer:

S=sin −1 (1.8266968)=ERROR

No possible triangles

Step-by-step explanation:

Answer:

+4X^5+X^3+2X^2-3

Step-by-step explanation:

Hope this helps :*

Answer:

[tex]=3b+3[/tex]

Step-by-step explanation:

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex], [tex]=7b-2-4b+5[/tex].

[tex]\mathrm{Group\:like\:terms}[/tex]:

[tex]=7b-4b-2+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:7b-4b=3b[/tex]

[tex]=3b-2+5[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-2+5=3[/tex]

[tex]=3b+3[/tex]

Answer:

-971

Step-by-step explanation:

I plugged the numbers into a arithmetic sequence calculator

Answer:

3.5.

Step-by-step explanation:

Zach's teammates were late to practice last week. According to Khan Academy the answer is 3.5.

The mean number of times Zach's teammates were late to practice last week is 3.5

A dot plot visually groups the number of data points in a data set based on the value of each point.

Given that, the following dot plot shows how many times each teammate was late to practice last week.

We need to find mean,

Total elements = 2 + 4 + 4 + 4 = 14

Data points = 4

Mean = 14 / 4 = 3.5

Hence, the mean number of times Zach's teammates were late to practice last week is 3.5

Learn more about dot plots, click;

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The area of the rhombus ABCD is 24.7 cm².

The length of diagonal BD is 6.5 cm.

A rhombus have equal four sides and the diagonals of the rhombus divides it into four equal right triangles. The area of the rhombus is the sum of individual areas of the four right triangles.

The hypotenuse side of the right triangle = side of the rhombus = BC = 5 cm

The second leg of the right triangle is calculated as follows;

[tex]x^2 + 3.8^2 = 5^2\\\\ x^2 = 5^2 - 3.8^2 \\\\ x^2 = 10.56\\\\ x = \sqrt{10.56} \\\\ x = 3.25 \ cm[/tex]

The area of one right triangle of the rhombus is calculated as follows;

[tex]A = \frac{1}{2} (3.8)(3.25)[/tex]

The area of the rhombus ABCD is calculated as follows;

[tex]A = 4 \times \frac{1}{2} (3.8)(3.25)\\\\ A = 24.7 \ cm^2[/tex]

The length of diagonal BD is calculated as follows;

[tex]BD = OB \ + \ OD\\\\ BD = x \ + \ x\\\\ BD = 3.25 \ cm \ + \ 3.25 \ cm\\\\ BD = 6.5 \ cm[/tex]

Learn more about area of rhombus here: https://brainly.com/question/2456096

Answer:

The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

62% of those people get some relief from taking ibuprofen (true proportion).

This means that [tex]p = 0.62[/tex]

Sample of 100

This means that [tex]n = 100[/tex]

A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.

By the Central Limit Theorem, it is approximately normal with

Mean [tex]\mu = p = 0.62[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485[/tex]