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Ad libitum [116K]

3 years ago

6

An ostrich that is 108 inches tall is 20 inches taller than 4 times the height of a kiwi. What is the height of the kiwi in inch

es?

1 answer:

Westkost [7]3 years ago

8 0

So you take 20 inches and times it by 4 which equals 80 inches. So then you would take to 80 inches and divide by 108. then you will get your answer.

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What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0

3 years ago

I NEED PLEASE IT WOULD REALLY HELP ME ALOT !!<br><br><br> NO LINK OR ZOOMS

Karolina [17]

Answer:

C

Step-by-step explanation:

Don't worry about the volume to start with. Just look at the area of the top or bottom.

The hole has a 4 inch diameter

d = 4

r = d/2

r = 2

Area = pi r^2

Area = pi * 2^2

Area = 4 pi

Now find the area of the top (or bottom) if the circle was not there.

L = 8

W = 6

Area = L * W

Area = 8 * 6

Area = 48

Now take away the area of the circle.

Area Top = 48 - 4 * pi

Area Top = 48 - 12.56

Area Top = 35.44

Finally, Find the volume

Volume = area of the top * height

Volume = 35.44 * 15

Volume = 531.6

8 0

3 years ago

A lamborghini traveled 220 miles in 4 hours. How many miles does the lamborghini drive per hour (speed)?

Aleonysh [2.5K]

Answer:

55 mph

Step-by-step explanation:

220m per 4 hours

so 220 devieded by 4 gives u your answer

6 0

3 years ago

Read 2 more answers

2. Deshay borrowed $400 from the bank for 1 year. The bank charges 14% interest

Papessa [141]

Answer:

The bank charged 56 dollars in interest

7 0

3 years ago

Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 34 and, in a separa

Marina CMI [18]

<h3>The probability of winning the lottery is $\frac{1}{10,295,472}$ </h3>

Step-by-step explanation:

Here, the total numbers in the jackpot = 1 to 34

Now, the number that needed to be drawn = 5

The number of ways , 5 number can be drawn from total 34 numbers :

$^{34} C _5 = \frac{34!}{5!(34-5)!} = 278,256$

Also, in separate draw, the correct number drawn = 1

So, the number of ways that can be done = 30 C 5 x 37

= 278,256 x 37 = 10,295,472

Now, P(win) = $\frac{\textrm{Total favorable attempts}}{\textrm{Total attempts}} = \frac{1}{10,295,472}$

Hence, the probability of winning the lottery is $\frac{1}{10,295,472}$

6 0

3 years ago