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3 years ago

Solve for x using logs- 27^x=173^x

1 answer:

8 0

$2\cdot7^x=17\cdot3^x\ \ \ \ |\log\\\\\log(2\cdot7^x)=\log(17\cdot3^x)\ \ \ \ |use\ \log (x\cdot y)=\log x+\log y\\\\\log2+\log7^x=\log17+\log3^x\ \ \ \ |-\log2;\ |-\log3^x\\\\\log7^x-\log3^x=\log17-\log2\ \ \ \ |use\ \loga^n=n\log a\\\\x\log7-x\log3=\log17-\log2\\\\x(\log7-\log3)=\log17-\log2\ \ \ |use\ \log x-\log y=\log\dfrac{x}{y}\\\\x\log\dfrac{7}{3}=\log\dfrac{17}{2}\ \ \ \ |:\log\dfrac{7}{3}\\\\\boxed{x=\dfrac{\log\frac{17}{2}}{\log\frac{7}{3}}}$

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A circle has a diameter of 3 m which statement about the circumference and area is true a comparison of the area and circumferen

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We conclude that the numerical value for the circumference is larger than the numerical value for the area.

<h3>What can we conclude about the area and the circumference?</h3>

Remember that for a circle of diameter d, the circumference is:

$C = pi*d$

And the area is:

$A = pi*(d/2)^2$

Where pi = 3.14

Here we know that d = 3m, replacing that in the above equations we get:

$C = 3.14*3m = 9.42m\\\\A = 3.14*(3m/2)^2 = 7.065 m^2$

While the units are different, we conclude that the numerical value for the circumference is larger than the numerical value for the area.

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2 years ago

Find the solution of the system of equations<br> shown on the graph,<br> Enter the correct answer

MissTica

Answer: (0,4)

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The point where the two lines intersect is the solution to the system.

In this case, the to lines intersect at the point (0,4).

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3 years ago

Read 2 more answers

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rusak2 [61]

Answer:

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Usually now, the interest is added onto the principal to figure some new amount after 10 year(s),

or 40000.00 + 48000.00 = 88000.00. For example:

If you borrowed the $40000.00, you would now owe $88000.00

If you loaned someone $40000.00, you would now be due $88000.00

Step-by-step explanation:

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3 years ago

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g In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, ..., 34, 35, and 36, marked on equally spaced slots. If a pla

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Answer:

The expected value for the player to play one time is -$0.05.

Step-by-step explanation:

The expected value of a random variable <em>X</em> is given by the formula:

$E(X)=\sum x\cdot P(X)$

The American roulette wheel has the 38 numbers, {i = 00, 0, 1, 2, ..., 34, 35, and 36}, marked on equally spaced slots.

The probability that the ball stops on any of these 38 numbers is same, i.e.

P (X = i) = $\frac{1}{38}$ .

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If the player wins, the player keeps the dollar and receives an additional $35.

And if the player losses, the dollar is lost too.

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Compute the expected value of the game as follows:

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Thus, the expected value for the player to play one time is -$0.05.

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3 years ago

Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.Create another scale drawing of the window frame

Tresset [83]

Answer:

Step-by-step explanation:

Below is the rectangle in the attachment.

Current scale:

1 cm : 6 inches

If the dimensions of the rectangle is:

Length = a cm

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Width = b × 6 inches

Using the same dimensions of the rectangle is:

Length = a cm

Width = b cm

Using the scale:

Length = a × 12 inches

Width = b × 12 inches

Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.

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3 years ago

Solve for x using logs- 2*7^x=17*3^x

Solve for x using logs- 27^x=173^x