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3 years ago

How do you write 1.5 × 104 in standard form?

1 answer:

5 0

I'm assuming you meant 1.5 × 10⁴. Remember, when we write in standard form, you need to use ^ to denote it's 'to the power of'. So it would be 1.5 × 10^4.

I'm also assuming you meant in decimal form, because that's already in standard form.

However, the answer is 15,000. This is because you lose one zero when multiplying a decimal with one number after it. For each number after the decimal, you take off a zero. Therefore, the end number is 15,000.

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Can someone explain this

horsena [70]

9514 1404 393

Answer:

resultant force: 93.946∠-10.62° N
line of action: 17.314x +92.337y = 809.433

Step-by-step explanation:

We can use the notation a∠b to represent the (x, y) components (a·cos(b), a·sin(b)), where angle b is measured CCW from the +x direction. If we label the forces a, b, c, d clockwise from A, then we have ...

a = 80∠0° = (80, 0)

b = 60∠90° = (0, 60)

c = 90∠45° = (63.640, 63.640)

d = 150∠-110° = (-51.303, -140.954)

If we label point A the origin, then the clockwise torque on point A is the sum of products of the force x-component and its y location, and its y-component and the negative of its x location.

T = (0, 0)·(80, 0) +(3, 0)·(0, 60) +(3, -8)·(63.640, 63.640) +(0, -8)·(-51.303, -140.954)

T = 809.433 . . . . n·m, the CW torque on point A

The sum of forces is ...

F = a +b +c +d = (92.337, -17.314) = 93.946∠-10.62° . . . N

This force, applied to the point of application, must generate the same torque as the given forces. That is ...

F·(y, -x) = 809.433

Then the equation of the line of action is ...

17.314x +92.337y = 809.433 . . . . . x and y in meters measured from A

Any point (x, y) on this line will serve as a point of application of the force. Unfortunately, this line of action does not pass through the rectangular plate. The attachment shows the point (D) on the line of action that is closest to point A.

_____

Additional comment

The resultant force could be decomposed into two forces acting on the rectangular plate. One could be of much larger magnitude, operating at the corner opposite point A. This force would provide the necessary torque. Another would be acting on point A, providing no torque, but with components such that the resultant has the correct magnitude and direction.

6 0

3 years ago

How to find the diameter if you have the circumference

Ivanshal [37]

Answer:

Solve the equation for the diameter of the circle, d= C/π. In this example, "d = 12 / 3.14." or "The diameter is equal to twelve divided by 3.14." Divide the circumference by pi to get the answer. In this case, the diameter would be 3.82 inches

Step-by-step explanation:

3 0

3 years ago

Which exponential functions have been simplified correctly check all that apply

Fittoniya [83]

Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,

(xy)^a = (x^a)(y^a)

The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab

Check:

f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)

f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)

f(x) = 81^0.25x = 3^x

f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x

f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)

Therefore, the answer is third equation.

ANSWER: f(x) = 81^0.25x = 3^x

5 0

3 years ago

Read 2 more answers

Suppose that poaching reduces the population of an endangered animal by 6% per year. Further suppose that when the population o

artcher [175]

If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.

Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.

Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:

20=1500* $(1-0.06)^{n}$

20=1500* $0.94^{n}$

20/1500= $0.94^{n}$

0.133= $0.94^{n}$

take log both sides

log(0.133)=log $0.94^{n}$ -------1

log(0.133)=nlog (0.94)

put the values log values:

log(0.133)=-0.8761

log(0.94)=-0.0268

Taking 1

-0.8761=n*(-0.0268)

n=0.8761/0.0268

n=3.269

Hence to reach level of 20 the population takes 3.2 years.

Learn more about logarithm at brainly.com/question/25710806

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8 0

2 years ago

Help brainiest answer to whoever is correct

Effectus [21]

Answer:

56 degrees

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers