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3 years ago

Use the quotient property to rewrite log_(10)(x/(100,000))

Mathematics

1 answer:

padilas [110]3 years ago

7 0

Answer:

log_10(x) - log_10(100000)

Step-by-step explanation:

$log_{10}(\frac{x}{100000} )\\log_{10}(x) -log_{10}(100000)\\$

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Yesterday I drove 150 minutes at a speed of 100 miles/h. How many miles did I drve?

krok68 [10]

Answer: 250 miles

Step-by-step explanation:

I am not sure what grade level you are, but this is how it is done in college.

I hope it can give you an idea and be of some help.

First you have to convert 150 minutes to hours. Then you multiply your new hours to 100 miles.

150 minutes x 1 hour x 100 miles = 250 miles

60 mins. 1 hour

3 0

2 years ago

For lunch, a restaurant discounts prices on their menu by 15% and then applies a

CaHeK987 [17]

Answer:

It would be D

Step-by-step explanation:

If you do the problem backward and apply the discount and taxes to 20$, then you get 18.70

4 0

2 years ago

Solve the system using substitution: y + 8x = 10 and 2y - 4x = 40

exis [7]

Answer:

Hence x = -1 and y = 18

Step-by-step explanation:

Given the system of equations

y + 8x = 10... 1

2y - 4x = 40 ... 2

From 1; y = 10-8x

Substitute into 2;

2(10-8x) - 4x = 40

20 - 16x - 4x = 40

20 - 20x = 40

-20x = 40 - 20

-20x = 20

x = -1

Recall that y = 10-8x

y = 10 - 8(-1)

y = 10 + 8

y = 18

Hence x = -1 and y = 18

4 0

3 years ago

In his boat, Sheldon can travel 45 mi downstream in the same time that it takes to travel 9 mi upstream. If the rate of the curr

Nataliya [291]

Answer:

9 mph

Step-by-step explanation:

-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:

$Speed=\frac{Distance}{Time}\\\\\#Upstream\\(u-6)t=9\\\\\#Donwstream\\\\(u+6)t=45$

#Since t is equal in both, we can do away with t.

#We the divide the downstream equation by the upstream equation as:

$\frac{u+6}{u-6}=\frac{45}{9}\\\\(u+6)=5(u-6)\\\\u+6=5u-30\\\\4u=36\\\\u=9$

Hence, the boat's speed in still water is 9 mph

7 0

3 years ago

In a randomly selected sample of 1169 men ages 35–44, the mean total cholesterol level was 210 milligrams per deciliter with a s

Aneli [31]

Answer:

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 210, \sigma = 38.6$