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2 years ago

Make x the subject of y=alog(5x)

Mathematics

1 answer:

Bond [772]2 years ago

4 0

Answer:

x = 0.2(10^y/a).

Step-by-step explanation:

y = alog(5x)

y = log(5x)^a) By the definition of a log:

(5x)^a = 10^y

5x = (10^y) ^ 1/a

x = 0.2(10^y/a)

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The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length

wariber [46]

Answer:

Option A. $x=10\ in$

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

$(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0$

using a graphing tool to solve the quadratic equation

The solution is $x=10\ in$

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3 years ago

Please help a girl out

xxMikexx [17]

Answer:

Quadratic formula is in the 2nd picture.

Step-by-step explanation:

Answers in the photo.

Solve the equation for r by finding a,b, and c of the quadratic then applying the quadratic formula.

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2 years ago

Read 2 more answers

Least to greatest 0.386 0.3 0.683 0.836

m_a_m_a [10]

0.3, 0.386, 0.683, 0.836

7 0

2 years ago

Laura has 3.85 pounds of bananas. She goes to the store to buy 2.75 more pounds of bananas to make banana bread. Each loaf requi

Inessa [10]

Answer:

Step-by-step explanation:

3.85+2.75= 6.6

6.6÷0.30= 22

6 0

2 years ago

Read 2 more answers

The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean

Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

Step-by-step explanation:

(a)The mean:

$\mu = \frac{385 + 370}{2} = 377.5 ml$

The standard deviation:

$\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33$

(b)

$P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333$

(c)P(x > m) = 0.95

$\frac{m - 370}{385 - 370} = 0.95$

$m - 370 = 14.25$

$m = 384.25ml$

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

7 0

3 years ago