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il63 [147K]
3 years ago
11

This was my very last homework question and i'm stumped. log_4(x+1)-log_4(x)=3

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

\log_4(x+1)-\log_4x=3 \qquad(x>0)\\ \log_4\dfrac{x+1}{x}=3\\ \dfrac{x+1}{x}=4^3\\ \dfrac{x+1}{x}=64\\ x+1=64x\\ 63x=1\\ x=\dfrac{1}{63}

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A plane flew for 2 hours at 467 mph (miles per hour) and 5 hours at 536. How far did the plane fly in miles
Archy [21]

Answer:

3614 miles

Step-by-step explanation:

Given data

A plane flew for 2 hours at 467 mph

Let us find the distance covered

Speed= distance/time

Distance= speed*time

Distance= 467*2

Distance=934 miles

5 hours at 536

Let us find the distance covered

Speed= distance/time

Distance= speed*time

Distance= 536*5

Distance=2680 miles

Total distance

=2680+934

=3614 miles

3 0
3 years ago
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f i
storchak [24]

Replace f with 190, replace P with 4148 and solve for  s:

4148 = 1.85s + 4.2(190)

Simplify:

4148 = 1.85 + 798

Subtract 798 from both sides:

3350 = 1.85s

Divide both sides by 1.85:

s = 1,810.81

Rounded to nearest square foot = 1811 square feet.

8 0
4 years ago
Read 2 more answers
Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets solo
Xelga [282]

Answer:

I do not see all the graphs but it would be the reverse of what is shown for A. graph. The tickets sold to total income would have to be a 1:4 ratio where every 4 dollar leap in the y-axis is a one point (1 unit change in x).

Step-by-step explanation:

8 0
3 years ago
Find the shaded sector and the length of the arc. Round to the nearest hundredth. ​
Dovator [93]

Answer:

Step-by-step explanation:

I'll show you how to do the first one; the other are exactly the same, so pay attention.

The formula for arc length is

AL=\frac{\theta}{360}*2\pi r where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:

AL=\frac{40}{360}*2(3.1415)(3). I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):

AL=\frac{1}{9}*2(3.1415)(3) which makes

AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:

A_s=\frac{\theta}{360}*\pi r^2 where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:

A_s=\frac{1}{9}*(3.1415)(3)^2 which simplifies a bit to

A_s=\frac{1}{9}*(3.1415)(9). As you can see, the 9's cancel each other out, leaving you with

A_s=3.14 units²

7 0
3 years ago
Read 2 more answers
Solve for k.<br>7k - 2 ≥ -9​
Akimi4 [234]

Answer: k ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9

add two to both sides

7k ≥ -7

k ≥ -1

6 0
4 years ago
Read 2 more answers
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