Emily wants to make a regtangular model with a height of one connecting cube. she wants to make the model in exactly 2 different ways. how many connecting cubes could Emily use to make the model in only 2 ways. A6, B12, C16, D18

Answers

Answer 1
Answer: A 6, because it can be 6x1x1 or 3x2x1

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Solve
Sin(2theta)=1/2

Answers

     Just change the fraction into an equivalent in the sine function.

sin(2\theta)= (1)/(2) \n sin(2\theta)=sin( ( \pi )/(6)+2k \pi ) \n 2\theta=( \pi )/(6)+2k \pi \n \theta=( \pi )/(12)+k \pi  \n  \n sin(2\theta)= (1)/(2) \n sin(2\theta)=sin( ( 15\pi)/(18)+2k \pi  ) \n 2\theta=( 15\pi )/(18) +2k \pi \n \theta=( 15\pi )/(36)+k \pi
 
     Therefore:

\boxed {S=(\theta \epsilon R | \theta=( \pi )/(12)+k \pi ~or~ \theta=( 15\pi )/(36)+k \pi, k \epsilon Z)}

If you notice any mistake in my english, please let me know, because i am not native.
sin(2theta)=1/2

sin(x)=α
x=(-1)^k arcsin α+πk

2theta=(-1)^k  arcsin 1/2 + πk        k∈Z
arcsin 1/2= π/6
2theta=(-1)^k  π/6 + πk        k∈Z
theta=(-1)^k  π/12 + πk/2        k∈Z


For f (x), evaluate the following:
a, f(0)
b. f(6)

Show all of your work

Answers

Answer:

a). f(0) = 4

b). f(6) = 8

Step-by-step explanation:

a). When x < 5, piecewise function to be considered,

f(x) = x + 4

Since, x = 0 is less than x = 5

f(0) = 0 + 4

f(0) = 4

b). When 5 ≤ x < 7,

Piecewise function to be considered,

f(x) = 8

Therefore, for x = 6,

f(6) = 8

a bookstore sells 617 books on moday ,498 books on tuesday, and 563 books on wednsday. on which two days did the bookstore sell about 600 books

Answers

monday and wednesday
617 rounds to 600
563 rounds to 600
498 rounds to 500

answer would be Monday and Wednesday

Josephine noticed that out of 10 e-mails she received, 7 were advertisements. What can she predict about the number of advertisements she will receive in the next 100 e-mails?

Answers

Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.

What is the probability?

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

If Josephine received 7 advertisements out of 10 e-mails, then we can say that the probability of receiving an advertisement in a single e-mail is 7/10 or 0.7.

Assuming that the probability of receiving an advertisement in an e-mail remains the same for all e-mails, we can use this probability to make a prediction about the number of advertisements she will receive in the next 100 e-mails.

The expected number of advertisements in 100 e-mails can be calculated by multiplying the probability of receiving an advertisement in a single e-mail by the total number of e-mails:

Expected number of advertisements = probability of an advertisement x total number of e-mails

= 0.7 x 100

= 70

Therefore, based on the given information, we can predict that Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.

To learn more about the probability;

brainly.com/question/11234923

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She can expect 70 to be ads since there is 10 times more emails so 7 times 10 is 70 so 70 ads

Solve this equation 3x + 1 = 10

Answers

Steps:
1. Subtract 1 from both sides
2. 3x=9
3. Divide both sides by 3
4. Your answer is
X=3

The solution to the equation 3x + 1 = 10 is x = 3.

To solve the equation 3x + 1 = 10, follow these steps:

Step 1: Get the variable term (3x) by itself by subtracting 1 from both sides of the equation.

3x + 1 - 1 = 10 - 1

3x = 9

Step 2: Isolate the variable by dividing both sides of the equation by the coefficient of x, which is 3.

3x/3 = 9/3

x = 3

So, the solution to the equation is x = 3.

To know more about equation, refer here:

brainly.com/question/29797035

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I need the pattern for these numbers,1, 8, 27, 64, _, _, _, _, _

and

2, 3, 5, 7, 11, 13, _, _, _, _, _

Answers

1) 1,8,27,64,95,126,176,230

2)14,16,18,22,24

Hope this helps :)
The second pattern is in prime numbers. Each number is a prime number in a successive order.2,3,5,7,11,13, [17,19,23,29,31], 37, 41, etc..