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3 years ago

FLUENCY

Mathematics

1 answer:

Bond [772]3 years ago

8 0

Answer:

The option (3). "log30 + log6"

Step-by-step explanation:

In order to find the option that is not equivalent to log(36) we will try to rewrite this log into each option by using the logarithmic properties. This is done below:

(1) We want to reach "log 2 + log 18". We have:

log(36) = log(2*18) = log(2) + log(18)

Therefore the first is equivalent to log(36)

(3) We want to reach "log (30) + log(6)".

If we try to make 36 into a product that has 6 in it, it'd be 6*6, therefore we can't rewrite log(36) as log(30) + log(6). So this is the option that we were looking for.

(2) We want to reach "2*log(6)". We have:

log(36) = log(6²) = 2*log(6)

Therefore it is equivalent to log(36).

(4) We want to reach "log(4) + log(9)". We have:

log(36) = log(4*9) = log(4) + log(9).

Therefore it is equivalent to log(36).

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Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did

svetoff [14.1K]

I added a screenshot with the complete question

Answer:
Total miles = 2.5 miles

Explanation:
1- While walking:
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked $\frac{20}{60} = \frac{1}{3}$ of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while walking:
Distance = 3 * $\frac{1}{3}$ = 1 mile

2- While running:
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran $\frac{15}{60} = \frac{1}{4}$ of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while running:
Distance = 6 * $\frac{1}{4}$ = 1.5 miles

3- getting the total mileage:
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

4 0

3 years ago

Investigating Hollywood Movies

erik [133]

Answer:

a. Genre with highest mean is drama. Mean is 72.10

B. 10.46 is difference between means of comedy and horror

C. Horror has the lowest minimum value at 25.00

Action and comedy both have the highest maximum value at 93.00

Step-by-step explanation:

First create a table with the data provided like I did in the attachment. It would give a clearer picture of what your answers should be.

1. Which genre has the highest mean score?

From the table, we have the means as:

Action = 58.63

Comedy = 59.11

Drama = 72.10

Horror = 48.65

The genre with the highest score is drama at 72.10

2. Difference in mean score between comedy and horror

Mean of comedy = lc = 59.11

Mean of horror = ly = 48.65

Difference = lc-ly

= 59.11 - 48.65

= 10.46

3. The genre with lowest score is the genre with the lowest minimum value. This genre is horror and the lowest minimum is 25.00

The genre with highest minimum value is that whose maximum value is the highest out of all the genres. Both action and comedy have the highest maximum value at 93.00

7 0

3 years ago

A hypothesis test is performed to determine if the proportion of all six packs of seltzers sold in a particular grocery store ne

slava [35]

Answer:

None of them is true Please mark brailiest

Step-by-step explanation:

8 0

3 years ago

in triunghiul isoscel ABC, AB=AC=36cm, m(BAC)=45°, iar BE perpendicular pe AC, E apartine (AC). Calculati Aria ABC, BE

melisa1 [442]

when given SAS, the area (A) of the triangle = (side1 · sin θ · side2)/2

A = (36 · sin 45° · 36)/2

= (36² · √2)/4

= 9 · 36 · √2

= 324√2

≈ 458.2

4 0

3 years ago

Merry christmas! my teachers gave me work. ill be happy if u help

Sauron [17]

Heyy merry christmas !
area of a triangle = base * height : 2
4 * 5 = 20 : 2 = 10
10 * 12triangles = 120cm^3

4 0

3 years ago