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2 years ago

2,11,20 find the t15

Mathematics

1 answer:

astraxan [27]2 years ago

5 0

Answer:

128

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 2 = 20 - 11 = 9

This indicates the sequence is arithmetic with n th term

$t_{n}$ = t₁ + (n - 1)d

where t₁ is the first term and d the common difference

Here t₁ = 2 and d = 9 , thus

t₁₅ = 2 + (14 × 9) = 2 + 126 = 128

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Ken went to the store for his mother. He spent $2.37 on groceries. In addition, his mother said he could spend $0.35 on candy. W

Sladkaya [172]

Ken spent $2.37 on groceries and $0.35 on candy, and paid for them with a 5 dollar bill.

To find how much money Ken spent, we add up how much he spent on groceries and candy

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Since he paid with a 5 dollar bill, we need to subtract it from how much he spent to find the change

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Ken got $2.28 in change.

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3 years ago

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If 8.45% life of each mobile phone is used in a day by a typical user for which mobile phone is 2.1 hours of battery life used i

mamaluj [8]

8.45% = 0.0845

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3 years ago

Write the set of real numbers x less than 6 in set builder notation

maksim [4K]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

x is a real number
x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

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2 years ago

The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem

Art [367]

Answer:

the displacement of the plane is $- \= w$

The displacement of plane from Portland to Akron with layover at Houston is

$\= v + \= w$

the vector which defines this displacement is $\= v + \= w =- 2500 \ km$

Step-by-step explanation:

From the question we are the

The displacement from Portland, Oregon to Houston, Texas. is $\= v$

The displacement from Houston, Texas to Akron, Ohio. is $\= w$ a

The motion of the plane in question a is in the opposite direction to vector $\= w$

So the displacement of the plane is $- \= w$

The motion of Portland to Houston to Akron is in the direction of both vector $\= v$ and $\= w$ so

The displacement of plane from Portland to Akron with layover at Houston is

$d = \= v + \= w$

From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector $\= v$

Give that distance from Portland to Houston is $\= v = 3000 km$

and the distance from Portland to Anchorage is $\= w = - 5500$ km

Then the vector which defines this displacement is mathematically represented as

$\= v + \= w = 3000 -5500$

$\= v + \= w =- 2500 \ km$

4 0

3 years ago

What is the rate of change of y=-4/9x+5

WARRIOR [948]

Answer:

Rate of change of y is $- \frac{4}{9}$

Step-by-step explanation:

$y = - \frac{4}{9} x + 5 \\ \\ differentiating \: with \: respect \: to \: x \\ \\ \frac{dy}{dx} = - \frac{4}{9} \frac{d}{dx} x + \frac{d}{dx} 5 \\ \\ \frac{dy}{dx} = - \frac{4}{9} .1 + 0 \\ \\ \huge \red{\frac{dy}{dx} = - \frac{4}{9} } \\ \\ rate \: of \: change \: of \: y =- \frac{4}{9}$

8 0

2 years ago