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valentinak56 [21]

3 years ago

7

Train A travels 50 miles/hour. Train A has been traveling for 25 minutes when train B set out in the same direction traveling 60

miles/hour. How long will it take train B to catch

1 answer:

Rus_ich [418]3 years ago

7 0

Train b will catch up in 2.5 hours

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Petra jogs 5 miles in 40 minutes. At this rate, how long would it take her to jog 7 miles? Petra would take minutes to jog 7 mil

tatuchka [14]

Answer:

the answer would be 56 minutes.

Step-by-step explanation:

7 x 40 = 280

5n = 280

n = 56

3 0

3 years ago

What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

5 0

3 years ago

Please help me with this I’ll give brainlist

bezimeni [28]

Answer:

Can you give me the name of your assignment paper please?

Step-by-step explanation:

3 0

3 years ago

What is the measure of an anglethat is supplementary to an angle of 37°? A. 127° B. 53° C. 143° D. 323°

KengaRu [80]

<u>Answer:</u>

143°

option c is correct!

<u>Explanation:</u>

Given:

Two angles are supplementary:

One angle = 37°

We know if two angles are supplementary their sum is equal to 180°.

Let another angle be x°

= > 37° + x° = 180

= > x° = 143°

Therefore another angle is 143°.

8 0

2 years ago

HELP ME PLZ ASAP!!!!!!!!!!!

kondor19780726 [428]

(8q)/4 ..................

3 0

3 years ago