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2 years ago

Find the 30th term of an arithmetic progression 5,1015,20

Mathematics

1 answer:

Ne4ueva [31]2 years ago

5 0

Answer:

150

Step-by-step explanation:

The n th term of an arithmetic progression is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = 10 - 5 = 5 and a₁ = 5, hence

$a_{30}$ = 5 + (29 × 5) = 5 + 145 = 150

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Find the percent increase. Round to the nearest percent. From 13 friends to 16 friends

larisa86 [58]

The percentage increase; you'll need to take the new value and subtract it by the old value.

16 - 13 = 3

Next, you'll divide 3 by the original value.

3 ÷ 13 = 0.23

And multiply by 100

The percentage increase of friends is 23%

8 0

3 years ago

If cos θ > 0 and tan θ > 0, which of the following statements MUST be true? (5 points)

solniwko [45]

Yo sup??

cosx>0 in the 1st and 4th quadrant.

tanx>0 in the 1st and 3rd quadrant.

therefore the common solution is x lies in 1st quadrant.

Hence the correct answer is option A.

Hope this helps

5 0

3 years ago

Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?

My name is Ann [436]

option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

<u>Step-by-step explanation:</u>

We have , The given expression as Three-fourths x = negative 6 , which can be written as $\frac{3}{4} (x) = -6$ . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's $\frac{3}{4}$ , Let's make coefficient of x as 1 by multiplying both side of equations by 4/3:

$\frac{3}{4} (x) = -6$

⇒ $\frac{3}{4} (x) = -6$

⇒ $\frac{3}{4}(\frac{4}{3} ) (x) = -6(\frac{4}{3} )$

⇒ $x = -6(\frac{4}{3} )$

⇒ $x = -2(4)$

⇒ $x = -8$

Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is <u>option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).</u>

7 0

3 years ago

Read 2 more answers

12x+7<-11 or 5x-8>40

puteri [66]

Answer:

$\large\boxed{x9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}$

Step-by-step explanation:

$12x+7$

$5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================$