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Tatiana [17]
2 years ago
7

Help fast!! (no links please.)

Mathematics
1 answer:
amid [387]2 years ago
4 0

Answer:

C) 3

Step-by-step explanation:

Plug in the values on c and d and solve

((3)^2 + (2)^2) - 2((3)^2 - (2)^2)

Solve inside the parenthesis first

(9+4) - 2(9-4) = (13) - 2(5)

Distribute the 2 and solve

13 - 10 = 3

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A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?​
creativ13 [48]

Answer:

(a) a_n=1+\frac{1}{6}(n-1)

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(a).

Explicit formula for an arithmetic sequence is given as:

a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}

Here, a_1=1,a_7=2

So,

a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}

Therefore, the explicit definition of the above sequence is given as:

a_n=1+\frac{1}{6}(n-1)

Where, a_n is the miles covered on n^{th} day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi

Therefore, the number of miles covered by her on day 19 is 4 miles.

3 0
3 years ago
Pls Help asap
Alla [95]

Answer:

1. Q1=7 Q3=12 IQR=5

2. Q1=8 Q3=33 IQR=25

3. Q1=4.5 Q3=10 IQR=5.5

Step-by-step explanation:

hope this helps have a good day or night

3 0
2 years ago
The sum of scores of ella and Kath in the summative test is not greater than 50. supposed Ella's score is 22 points, what could
Firlakuza [10]

We want to see which could be the possible score of Kath for the given information. We will find the inequality:

K ≤ 33

<h3>Stating what we know:</h3>

The given information is:

  • The sum of the scores is not greater than 55 points
  • Ella's score is 22 points.

<h3>Writing the inequality:</h3>

First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:

K + 22 ≤ 55

This means that the sum of the points is smaller than or equal to 55.

Now we just need to solve this for K, to do this, we subtract 22 in both sides:

K ≤ 55 - 22

K ≤ 33

From this, we can conclude that Kath has at most 33 points.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

7 0
2 years ago
Suppose a certain drug test is 85% accurate, meaning that if a person is a user, the result is positive 85% of the time, and if
kakasveta [241]

Answer:

29.411 %  of the result is true.

Step-by-step explanation:

This test's sensitivity is low.

Suppose we have 5 drug users and 85% of the test is accurate meaning that 5* 0.85= 4.25 people are drug users which is true.

But if work for the non users than 5% people being drug users means 95 people are non drug users out of the hundred.

And 85 % accuracy would give  95* 0.85= 80.75 which is very high.

And out of the 80.75 * 15%= 12.11 only 12 are positive .

The results give us  5 out of 17  true possibilities

or 5/17 *100= 29.411 %  of the result is true.

8 0
3 years ago
Help pls- <br><br> I dont know it T^T
docker41 [41]

Answer:

Ans: H and A

Step-by-step explanation:

By the identity:

1-(cos(x))cos^{2}(x)+ sin^{2}(x)=1\\cos^{2}(x)=1- sin^{2}(x)\\\\cos(x)=\sqrt{1- sin^{2}(x)} \\sin(x)=\sqrt{1- cos^{2}(x)}\\\\\sqrt{1- cos^{2}(x)}/sinx=1\\\sqrt{1- sin^{2}(x)}/cosx=1\\\sqrt{1- cos^{2}(x)}/sinx+\sqrt{1- sin^{2}(x)}/cosx=2\\\\\\

Ans: H

For second quesiton, the transformation of a graph is that:

f(x) + k means vertical translation up by k units

Two curve have the same maximum value, so the graph doesn't translate upwards or downwards, thus b=0

Ans: A

7 0
3 years ago
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