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Lana71 [14]
3 years ago
10

Given the Arithmetic sequence A1,A2,A3,A4A1,A2,A3,A4

Mathematics
1 answer:
Bad White [126]3 years ago
7 0
The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59

This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.

The n-th term is
a_{n}=a_{1}+(n-1)d
The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
     = 29 + 320
     = 349

Answer: a₃₃ = 349
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Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o
tangare [24]

Conditional statement is a statement with a hypotesis and a conclusion:

If \text{ \underline{ hypothesis } } p, then \text{ \underline { conclusion } } q or mathematically p\rightarrow q.

Converse statement of p\rightarrow q is statement q\rightarrow p.

If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:

\neg p\rightarrow \neg q.

Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:

\neg q\rightarrow \neg p.

Example:

1. Statement: If it is raining, then I'm at home. (true)

2. Converse: If I'm at home, then it is raining. (not necessarily true)

3. Inverse: If it is not raining, then I'm not at home. (not necessarily true)

4. Contrapositive: If I'm not at home, then it is not raining. (true)

6 0
3 years ago
Read 2 more answers
A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma
stepladder [879]

Answer: 196

Step-by-step explanation:

As per given , we have

Population standard deviation: \sigma=0.6\ lb

Significance level : \alpha: 1-0.98=0.02

Using the z-value table , the critical z value for 98% confidence : z_{\alpha/2}=2.33

Margin of error : E= 01 lb

Sample size : n=(\dfrac{z_{\alpha/2}\cdot\sigma}{E})^2

n=(\dfrac{(2.33)\cdot(0.6)}{0.1})^2

Simplify , we get

n=195.4404\approx196

Hence, the minimum sample size required for books = 196

8 0
3 years ago
6m + 2 - 4m =<br><br><br>help with this please ​
devlian [24]

The answer is: 2(m+1)


First combine like terms.
<em>we do 6m-4m which is 2m</em>
2m+2=?

Second we factor. We notice that both terms have 2.
2(m+1)

<em>by distributive law, the 2 is distributed to m and 1.
</em>

8 0
2 years ago
Find the 7th term in the sequence -1,-5,-25
k0ka [10]

Answer:

-125

Step-by-step explanation:

-1 × 5 = -5

-5 × 5 = -25

-25 × 5 = -125

5 0
4 years ago
How much sugar should he use ?
Sonja [21]
The answer is A. 1 1/4

You have to subtract 1 3/4 - 1/2 and get 1 1/4

Hope this helps!
6 0
3 years ago
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