Ask question

Ask question

All categories

3 years ago

14

The first three terms of an arithmetic sequence are x-1, 3x-2 and 5x-3. Which of the following expressions represents the 15th t

erm in the arithmetic sequence

1 answer:

alexandr1967 [171]3 years ago

8 0

Answer:

29x-15

Step-by-step explanation:

fifteenth term=x-1+14(2x-1)

=x-1+28x-14

=29x-15

You might be interested in

I need help pls ASAP

Pavlova-9 [17]

2radical 10 for simplifying radical 40

3 0

3 years ago

Você é um comandante de uma espaçonave. Sua missão é chegar até Alfa Centauro em cinco anos. A distância do Sol até Alfa Centaur

Deffense [45]

Answer:

The spaceship will get to Alpha Centaur in time

Step-by-step explanation:

<u><em>The complete question in English is</em></u>

You're the commander of a spaceship. Your mission is to reach Alpha Centaur in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance from Earth to Sun is approximately 9.3 x 10^7

miles. Your spaceship can travel at the speed of light. You know that light can travel a distance of 5.88 x 10^12 miles in a year. Can you get to Alpha Centaur in time?

step 1

Find the time it takes for the spaceship to travel from Earth to the Sun

The distance from the Earth to Sun is equal to

$9.3*10^7\ miles$

The spaceship can travel at the speed of light

The light can travel a distance of $5.88*10^{12}\ miles$ in a year

so

using a proportion

$\frac{5.88*10^{12}\ miles}{1\ year}=\frac{9.3*10^7\ miles}{x}\\\\x=(9.3*10^7)/5.88*10^{12}\\\\x=1.58*10^{-5} \ years$

This time is very small in years

Convert to minutes

$1.58*10^{-5} \ years=1.58*10^{-5} (365)(24)(60)=8.3\ min$

step 2

Find the time it takes for the spaceship to travel from the Sun to Alpha Centaur

The distance from the the Sun to Alpha Centaur is equal to

$2.5*10^{13}\ miles$

The spaceship can travel at the speed of light

The light can travel a distance of $5.88*10^{12}\ miles$ in a year

so

using a proportion

$\frac{5.88*10^{12}\ miles}{1\ year}=\frac{2.5*10^{13}\ miles}{x}\\\\x=(2.5*10^{13})/5.88*10^{12}\\\\x=4.25\ years$

$4.25\ years< 5\ years$

therefore

The spaceship will get to Alpha Centaur in time

3 0

3 years ago

In the 7th grade, 150 of the students are attending the dance. If this is 62.5% of the entire grade, how many 7th graders are th

JulijaS [17]

Answer:

244 students.

Step-by-step explanation:

Okay, so. We know 150 people of the 7th grade is coming and 62.5% is the entire of the 7th graders coming. We would multiply.

150 * 62.5% = 93.75

We would round it up. It is over 5, so it would be 94 students. Then we would add

150 + 94 = 244

There are 244 students in 7th grade.

3 0

3 years ago

What is 2 exponent 4 time 2 exponent negative 7 equal

Elena L [17]

Answer: i’m not sure if it’s just simplifying or factoring. but for simplifying it equals. 1/8 or .125

Explanation: calculator

4 0

3 years ago

Graph the linear equation and identify the x intercept <br> Y= 1/5x + 3

KIM [24]

Answer:

x intercept is (-15,0)

Step-by-step explanation:

6 0

3 years ago