6log8(3) - 3log8 (2)

The engine of a car has a displacement of 305 cubic inches. what is the displacement in cubic feet? round your answer to 2 decim

ipn [44]

solution
1 inch = 2.54 centimeters
Therefore, to convert to cubic measurements
(1 in)³ = (2.54 cm)³
Thus;
1 in³ = 16.387 cm³
Hence 305 cubic inches will be equivalent to
305 × 16.387
= 4998.035 cm³

5 0

4 years ago

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A silicon chip is 14 nanometers thick. A nanometer is equal to 0.000000001 meter. Express the thickness of the chip using scient

oksano4ka [1.4K]

Answer:

1.4 × 10^-8

Step-by-step explanation:

The chip is 14 nanometers

14 * .000000001

.000000014

Move the decimal 8 places to the right, because we need 1 number in front of the decimal for scientific notation. The exponent will be -8 because we moved it 8 places to the right

1.4 × 10^-8

4 0

3 years ago

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❤️ i need this last question

spayn [35]

Answer: $10\left(\cos90^{\circ}+i\sin90^{\circ}\right)$

Step-by-step explanation:

Given

The complex number is $z_1=0+10i$

Complex number in polar form is given by

$z=r\left(\cos \theta +i\sin \theta\right)$

Compare it with the given complex number

$r=10$ and $\sin \theta=1$ which implies $\theta$ must be $90^{\circ}$

So, in the polar form, it is

$z_1=10\left(\cos90^{\circ}+i\sin90^{\circ}\right)\\z_1=10e^{i\frac{\pi}{2}}$

4 0

3 years ago

What is the solution of the following systems of equations?

romanna [79]

Answer:

(1,-2)

Step-by-step explanation:

The solution refers to the point of intersection of two lines. When we're dealing with straight lines, the possible solutions are:

- None (the lines are parallel - have the same slope - so they never instersect)

- Infinite (the lines are parallel and on top of each other so they intersect at every point)

- One point of intersection (the lines have different slopes)

The graph provided shows lines with two different slopes, so they must intersect at one point. We know the answer is one of the two points provided. Looking at the graph, you see the point of intersection, or the solution, is (1, -2).

You can check this by solving the system mathematically. The point of intersection is a point that satsifies both line equations. Start by solving for x as y is isolated:

$3x-5 =-x-1\\4x=4\\x=1$

Now use the calculated x-value to solve for y in either equation (I'll use the first):

$y=3(1)-5\\y=3-5\\y=-2$

The solution is (1, -2).

8 0

3 years ago

Casandra is calculating how much interest she will earn in investments that are eating simple interests. She knows that simple i

Zinaida [17]

Answer:

Principal = $500

Interest = $37.50

Rate = 0.025 = 2.5%

Time = 3 years

Step-by-step explanation:

The formula for simple interest is I = PRT ÷ 100

Casandra's equation = I= 500(0.025)(3)=$37.50

Principal = $500

Interest = $37.50

Rate = 0.025 = 2.5%

Time = 3 years

3 0

4 years ago