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Convert 6 miles to meters​

Answers

Answer 1
Answer:

Answer:

9656.06 meters

Step-by-step explanation:

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If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle? Indicate all such lengths. [A] 3 [B] 5 [G] 8 [D] 15

Answers

Final answer:

According to the triangle inequality theorem, the third side of a triangle, given the other two sides, must be greater than the absolute difference and less than the sum of those sides. In this case, given sides 5 and 9, the possible third sides are 5 and 8.

Explanation:

In Mathematics, particularly in the field of geometry, the triangle inequality theorem states that the length of one side of a triangle is always less than the sum of the lengths of the other two sides but more than the absolute difference of those lengths.

Given the lengths of two sides of the triangle are 5 and 9 respectively, the possible lengths of the third side are anything greater than 4 (9 - 5) and less than 14 (9 + 5). So among the choices given: [A] 3, [B] 5, [G] 8, [D] 15; only [B] 5 and [G] 8 could be the length of the third side of the triangle.

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Final answer:

In the triangle with sides 5 and 9, according to the triangle inequality theorem, the length of the third side must be between 4 and 14. Therefore, from the given options, only 5 and 8 could be the lengths of the third side.

Explanation:

To find possible lengths for the third side of a triangle when lengths of two other sides are given, we can adhere to the triangle inequality theorem. This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

In this case, the given lengths are 5 and 9. So the possible length of the third side (let's denote it as x) should obey to: |5 - 9| < x < 5 + 9, that is 4 < x < 14.

Therefore, from the given options, [B] 5 and [G] 8 could be possible lengths for the third side of the triangle.

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3.Ms. Taylor is doing an art project with her class. She has a 3 foot piece of ribbon. If she gives each student an eighth of a foot of ribbon, how many students will receive a piece of ribbon

Answers

Answer:

24

Step-by-step explanation:

To solve this problem, first you would need to figure out how many eighths of a foot are in 3 foot. If the pieces she gave away were 1/8 of a foot, 8 pieces would be in 1 foot. Next, multiply 8 by the number of feet there are (3).

8 x 3 = 24

So, 24 students would receive a peice.

Researchers wanted to determine if having a refrigerator in the bedroom is associated with obesity. The researchers administered a questionnaire to 353 ​twelve-year-old adolescents. After analyzing the​ results, the researchers determined that the body mass index of the adolescents who had a refrigerator in their bedroom was significantly higher than that of the adolescents who did not have a refrigerator in their bedroom. Complete parts​ (a) through​ (e) below. Why is this an observational study?

(A) This is an observational study because the researchers observe the behavior of the individuals in the study without trying to influence an explanatory variable of the study.
(B) This is an observational study because the researchers try to influence the outcome of the study.
(C) It is not an observational study

Answers

Answer:

B

Step-by-step explanation:

Final answer:

The question's study is an observational study because researchers observed the behavior of individuals without influencing any aspect of the study, such as the presence of a refrigerator or the adolescent's BMI.

Explanation:

This study is indeed considered an observational study. The answer is (A) This is an observational study because the researchers observe the behavior of the individuals in the study without trying to influence an explanatory variable of the study. In the study described, researchers merely observed and recorded the behavior (having a refrigerator in the bedroom) and the outcome (body mass index or BMI). There was no attempt by the researchers to manipulate or control either the presence of the refrigerator or the adolescent's BMI, which is characteristic of an observational study.

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Use the following steps to prove that log b(xy)- log bx+ log by. a. Letx-bp and y= bq. Solve these expressions for p and q, respectively
b. Use the property b*b b to express xy in terms of b, p, and q
c. Compute log b(xy) and simplify

Answers

Answer with Step-by-step explanation:

a.x=b^p

y=b^q

Taking both sides log

log x=plog b

Using identity:logx^y=ylogx

p=(logx)/(log b)=log_b x

Using identity:log_x y=(log y)/(log x)

log y=qlog b

q=(log y)/(log b)=log_b y

b.xy=b^pb^q

We know that

x^a\cdot x^b=x^(a+b)

Using identity

xy=b^(p+q)

c.log_b(xy)=log_b(b^(p+q))

log_b(xy)=(p+q)log_b b

Substitute the values then we get

log_b(xy)=(log_b x+log_b y)

By usinglog_b b=1

Hence, log_b(xy)=log_b x+log_b y

Final answer:

To prove the property log b(xy) = log bx + log by, we let x = b^pand y = b^q, express xy in terms of the base b and the exponents p and q, and then use the properties of logarithms to show the equality.

Explanation:

The student is asking to prove the logarithmic property − log b(xy) = log bx + log by. Here's a step-by-step explanation:

Let x = bp and y = bq. To solve for p and q, take the logarithm base b of both sides. Thus, p = logbx and q = logby.

Using the property of exponents, xy = bp*bq = bp+q.

Now compute logb(xy). According to the logarithmic property, logb(bp+q) = p + q. Since p = logbx and q = logby, then logb(xy) = logbx + logby.

Therefore, we have proven the given logarithmic property using the steps provided in the question.

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Find tan x if sec x = sort 37/6 and sin x <0

Answers

Answer:

  tan(x) = -1/6

Step-by-step explanation:

We can use the relation between tan and sec:

  \displaystyletan(x)=\pm\sqrt{\sec^2{x}-1}\n\ntan(x)=-\sqrt{\left((√(37))/(6)\right)^2-1}\quad\text{negative because sine is negative}\n\n=-\sqrt{(37-36)/(36)}=\boxed{-(1)/(6)}

The tangent of x is -1/6.

WILL GIVE BRAINLIESTThe graph below represents which system of inequalities? (attachment below)

A. y ≤ −2x + 3
y ≤ x + 3

B. y ≥ −2x + 3
y ≥ x + 3

C. y ≤ −3x + 2
y ≤ −x + 2

D. y > −2x + 3
y > x + 3

Answers

The answer is A.
We can first eliminate D since it uses these (<, >) signs and the lines are shaded, indicating the points on those lines are solutions.
We can also eliminate C because the y intercept in C’s lines is 2, while in the graph, they are both 3.
Finally, we can look at both inequalities on the graph and see that the shaded areas are both underneath the line. This means that y is less than the equation for the line, eliminating B
So, the answer is A
Hope this made sense!!
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