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True [87]
2 years ago
5

Rewrite the following expression using the properties of logarithms: log2z + 2log2z + 4log9y + 12log9x - 2log2y

Mathematics
1 answer:
Mashcka [7]2 years ago
4 0

The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).

<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>

It follows from the task content that the logarithmic expression given in the task content is;

log2z + 2log2z + 4log9y + 12log9x - 2log2y

In which case, all terms are to their respective logarithmic bases.

Hence, it follows that; we have;

log2z³ - log2y² + log9y⁴ + log9x¹²

= log2(z³/y²) + log9(y⁴x¹²)

Read more on logarithm laws;

brainly.com/question/10208274

#SPJ1

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50% prefferd fruit cake 1/5 preferred spong and the remainder preferred cheesecake
d1i1m1o1n [39]

The percentage of people who preferred cheesecake if 50% prefferd fruit cake 1/5 preferred sponge is 40%.

<h3>Percentage</h3>

  • Total percentage = 100%
  • Fruit cake = 50%

Percentage remaining = 100% - 50%

= 50%

Sponge cake = 1/5

Percentage of sponge cake = 1/5 × 50%

= 1/5 × 0.5

= 10%

Percent that likes cheesecake = Total - (fruits cake + sponge cake)

= 100% - (50% + 10%)

= 100% - (60%)

= 40%

Therefore, the percentage of people who preferred cheesecake if 50% prefferd fruit cake 1/5 preferred sponge is 40%.

Learn more about percentage:

brainly.com/question/843074

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4 0
2 years ago
A certain field is a rectangle with a perimeter of 940 feet. the length is 190 feet more than the width. find the width and leng
stepan [7]

140 + 330

90 + 280
5 0
3 years ago
The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).
Alex17521 [72]

Answer:

64

Step-by-step explanation:

<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have h'(t) = -32t + 48, which equals zero when t = 3/2 = 1.5. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

5 0
3 years ago
Click on the phrase (s) that describe a nonlinear function.Kathy is planning to move to a different state next month. She finds
pshichka [43]

Answer:

The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box

Step-by-step explanation:

Linear functions those relation which produces a straight line graph while non - linear functios produces curves or other shapes asides a straight line. Non linear functios could be quadratic, Exponential or so on in nature.

Equation of a linear equation include :

y = a + bx OR

y = bx

First expression :

y = $50 + x ;

slope, b = 1 ; intercept, a = 50

Third expression :

y(x) = 105x

Second expression:

V(x) = V0 * e^2x

Second expression is exponential while the first and third is linear.

4 0
3 years ago
Which expression is equivalent to the square root of 1/8
irina1246 [14]
When you say "which," it sounds like it should be multiple choice. Anyways, here's the simplified form of \sqrt{\frac{1}8}}

\sqrt{\frac{1}8}} = \frac{\sqrt{1}}{\sqrt{8}} = \frac{1}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}=\boxed{\frac{\sqrt{8}}8}

(When simplifying fractions, you should <em>never</em> have a square root on the bottom. Multiply by the square root to cancel it out)
4 0
3 years ago
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