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3 years ago

What is this number in standard form?

Mathematics

1 answer:

Leona [35]3 years ago

3 0

Answer:

101280 is the answer

Step-by-step explanation:

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How can is solve this

Tcecarenko [31]

Answer:

hi, what number are u asking us to solve?

6 0

3 years ago

The velocity function, in feet per second, is given for a particle moving along a straight line. Find (a) the displacement and (

AveGali [126]

Answer:

(a) 2 feet.

(b) 2 feet.

Step-by-step explanation:

We have been given that the velocity function $v(t)=\frac{1}{\sqrt{t}}$ in feet per second, is given for a particle moving along a straight line.

(a) We are asked to find the displacement over the interval $1\leq t\leq 4$ .

Since velocity is derivative of position function , so to find the displacement (position shift) from the velocity function, we need to integrate the velocity function.

$\int\limits^b_a {v(t)} \, dt$

$\int\limits^4_1 {\frac{1}{\sqrt{t}}} \, dt$

$\int\limits^4_1 {\frac{1}{t^{\frac{1}{2}}} \, dt$

$\int\limits^4_1 t^{-\frac{1}{2}} \, dt$

Using power rule, we will get:

$\left[\frac{t^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}}\right] ^4_1$

$\left[\frac{t^{\frac{1}{2}}}{\frac{1}{2}}}\right] ^4_1$

$\left[2t^{\frac{1}{2}}\right] ^4_1$

$2(4)^{\frac{1}{2}}-2(1)^{\frac{1}{2}}=2(2)-2=4-2=2$

Therefore, the total displacement on the interval $1\leq t\leq 4$ would be 2 feet.

(b). For distance we need to integrate the absolute value of the velocity function.

$\int\limits^b_a |{v(t)|} \, dt$

$\int\limits^4_1 |{\frac{1}{\sqrt{t}}}| \, dt$

Since square root is not defined for negative numbers, so our integral would be $\int\limits^4_1 {\frac{1}{\sqrt{t}}} \, dt$ .

We already figured out that the value of $\int\limits^4_1 {\frac{1}{\sqrt{t}}} \, dt$ is 2 feet, therefore, the total distance over the interval $1\leq t\leq 4$ would be 2 feet.

7 0

3 years ago

What quardrant would the ordered pair (-4,-6) fall in

liubo4ka [24]

Answer:

Quadrant III

Step-by-step explanation:

Quadrants are numbered in a counterclockwise order starting at the top. Since both numbers are negative, it would fall into the lower left quadrant, also known as quadrant 3.

8 0

4 years ago

Read 2 more answers

What is the 100th term of the sequence 7, 4, 1, -2 ...

pentagon [3]

The sequence is arithmetic as it goes down 3 every time

Arithmetic nth term formula is an=a1+d(n-1)

an=7-3(n-1)
an=7-3n+3
an=-3n+10

To find the 100th term substitute n for 100
a100=-3(100)+10
a100=-300+10
a100=-290

The 100th term is -290

8 0

3 years ago

The square below represents one whole.<br> What percent is represented by the shaded area?<br> %

sertanlavr [38]

Answer:

77%

Step-by-step explanation:

5 0

3 years ago