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3 years ago

What can you determine about the number of terms of the sum?

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

There are 7 terms in this series.

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At noon, you are running to get to class and notice a friend 100 feet west of you, also running to class. If you are running sou

Virty [35]

Answer:

Step-by-step explanation:

Velocity of first Person $v_1=450 ft/min$

Velocity of second Person $v_2=350 ft/min$

Distance between them P=100 ft

Let x be the distance moved by 1 st and y be the distance moved by second person by the time 12:02 PM

In Triangle ABC

$BC=350 t+450 t$

$BC=800 t$

using Pythagoras

$AC^2=AB^2+BC^2$

$AC^2=100^2+(800t)^2$

differentiating with respect to time

$2\times AC\times \frac{\mathrm{d} AC}{\mathrm{d} t}=2\times (800t)\times 800$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{800^2\times t}{AC}$

AC after 2 minute

$AC=1603.121 ft$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{800^2\times 2}{1603.121}$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{64\times 10^4\times 2}{1603.121}$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=798.44 ft/min$

4 0

3 years ago

If you're starting salary is 40,000 and you receive a 3% increase at the end of every year what is the total amount in dollars y

storchak [24]

$\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &40000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=\textit{elapsed time}\to &15\\
\end{cases}
\\\\\\
A=40000(1+0.03)^{16}\implies A=40000(1.03)^{16}$

7 0

3 years ago

Jordan is 27 miles short of his biking goal. Hayden went 27 miles over his goal. Which of the following statement is true?

agasfer [191]

Answer:

Option A

Step-by-step explanation:

Jordan is 27 miles short of his biking goal.

This statement states that Jordan is 27 miles behind the goal.

Hayden went 27 miles over his goal.

This statement states that Hayden is 27 miles ahead of his goal.

Option A

Both are 27 miles away from their goal.

True.

Option B

Since, both were 27 miles away from their goal,

Statement is False.

Option C

Since, the goal was same both,

Given statement is False.

Option D

Goal was same for both Jordan and Hayden,

Statement is False.

5 0

3 years ago

A teacher gives each of five students a box that contains 25 red balls, 25 blue balls, 25 green balls, and 25 purple balls. The

liubo4ka [24]

The answer is a the more balls means the more chance a desired color will be chosen

8 0

3 years ago

Sadie was using a metal spoon to eat her soup and her spoon became hot. Which correctly describes the process that caused the sp

IrinaK [193]

Answer:

The answer is D metal is a connductor that is why many of our hot appliances such as grills, ovens, and hot iron tools are metal

Step-by-step explanation:

brainlest plz

6 0

3 years ago

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