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bekas [8.4K]
3 years ago
10

If an = 3n - 4, what is a5?

Mathematics
2 answers:
nalin [4]3 years ago
3 0

Answer:

11

Step-by-step explanation:

an = 3n - 4

To solve this put 5 Instead of n

a5 = 3 \times 5 - 4 \\  = 15 - 4 \\  = 11

Hope this helps you.

Let me know if you have any other questions :-):-)

Nastasia [14]3 years ago
3 0
11 is the correct answer
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Given the m<8=45, find the other angle measures. Be able to say how you found each angle measure. PLEASE help!
iris [78.8K]

Answer:

m<1 = 135°, m<2 = 45°, m<3 = 135°, m<4 = 45°, m<5 = 135°, m<6 = 45°, m<7 = 135°

Step-by-step explanation:

We know that a straight line always gives us a measure of 180° total. This would mean 180° = m<8 + m<7. So, if we plug in the real value of m<8, we get 180 = 45 + m<7. From there, we can subtract 180 by 45, and we get 135° = m<7.

We know that vertical angles are congruent - so m<5 is the same as m<7 - making m<5 = 135° as well. This could also apply to m<8 and m<6, so m<6= 45°.

From there, we can also say that alternate interior angles are congruent to each other - meaning m<5 = m<3, and m<6 = m<4. So, m<3 = 135° and m<4 = 45°.

Alternate exterior angles are congruent too, which means m<8 = m<2, and m<7 = m<1. So, m<2 = 45° and m<1 = 135°.

In summary,

m<7 = 135° because angle subtraction.

m<5 = 135° and m<6= 45° because vertical angles are congruent.

m<3 = 135° and m<4 = 45° because alternate interior angles are congruent.

m<1 = 135° and m<2 = 45° because alternate exterior angles are congruent!

Hope this makes sense! Not sure if I explained it well.

3 0
4 years ago
Shiv and his friends are 3 1/6 pizzas. Express this amount as a decimal
irga5000 [103]
3.1666 six repeating
7 0
4 years ago
It has been observed that, during various forms of social competition, men experience an increase in testosterone levels. A 2018
svetoff [14.1K]

Answer:

= ( -4.725, 6.945) pg/ml

Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 1.11 pg/ml

Standard deviation r = 15.18 pg/ml

Number of samples n = 26

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

1.11+/-1.96(15.18/√26)

1.11+/-1.96(2.977042931397)

1.11+/-5.835004145539

1.11+/-5.835

= ( -4.725, 6.945) pg/ml

Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml

7 0
3 years ago
Need help doing this question, i think i got all of them wrong. If you explain your thought process it'd be nice too!
icang [17]

Answer:

4 with 3

Step-by-step explanation:

the only ones that are perpendicular to each other are

y = 7/4 x - 2 with y = - 4/7 + 2

since the condition is met so that two lines are perpendicular

slope1 * slope2 = -1

7/4 * -4/7 = -1  correct

8 0
3 years ago
X/x-2 + x-1/x+1= -1<br> Can someone walk me through the steps of this problem? Much appreciated. :)
stealth61 [152]

Answer:

x = 0 or x = 1

Step-by-step explanation:

Given equation:

\dfrac{x}{x-2}+\dfrac{x-1}{x+1}=-1

Multiply the two denominators to get the same denominator:

Multiply the numerator of the first fraction by the denominator of the second fraction to get the new numerator of the first fraction.

Multiply the numerator of the second fraction by the denominator of the first fraction to get the new numerator of the second fraction.

\implies \dfrac{x(x+1)}{(x-2)(x+1)}+\dfrac{(x-2)(x-1)}{(x-2)(x+1)}=-1

Add the numerators and keep the denominator so that there is now one fraction:

\implies \dfrac{x(x+1)+(x-2)(x-1)}{(x-2)(x+1)}=-1

Simplify the numerator by expanding the brackets:

\implies \dfrac{x^2+x+x^2-3x+2}{(x-2)(x+1)}=-1

\implies \dfrac{2x^2-2x+2}{(x-2)(x+1)}=-1

Simplify the denominator by expanding the brackets:

\implies \dfrac{2x^2-2x+2}{x^2-x-2}=-1

Multiply both sides by the denominator of the left side:

\implies 2x^2-2x+2=-1(x^2-x-2)

Simplify and move everything to the left side:

\implies 2x^2-2x+2=-x^2+x+2

\implies 3x^2-3x=0

Factor:

\implies 3x(x-1)=0

Therefore:

\implies 3x=0 \implies x=0

\implies x-1=0 \implies x=1

Therefore, x = 0 or x = 1

8 0
2 years ago
Read 2 more answers
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