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lana66690 [7]
3 years ago
6

Mohamed decided to track the number of leaves on the tree in his back yard each year. This year there were 500 leaves. Each year

after the number of leaves was 40% more than the year before. Let f(n) be the number of leaves on the tree in mohameds back yard in the nth year since he started tracking it. F is a sequence was kind of sequence is it?
Mathematics
1 answer:
makkiz [27]3 years ago
6 0

Answer:

Geometric sequence

Step-by-step explanation:

According to the scenario, computation of the given data are as follows:

Leaves on tree this year (a) = 500

Rate of increase in leaves per year (r) = 40 % or 0.4

Let n be the number of years.

So we use exponential growth formula, i.e.

f(n) = a(1+r)^n

by putting the value, we get

f(n) = 500 ( 1+0.4)^n

or f(n) = 500 (1.4)^n

So, the common ration is 1.4.

Thus, it shows a geometric sequence.

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A rectangle has an area of x^2 -6x -7 and a width of x-7 what’s the length
iogann1982 [59]

Answer:

x+1

Step-by-step explanation:

We know that x^2 -6x-7 is the product of two binomials.

We can solve this two ways, but the easier way is to simply factor rather than divide the area by width.

Two numbers, one of which being -7 allows for the sum of -6 and the product of -7.

Using this information, we can identify the other number is 1, so the length is x+1.

4 0
3 years ago
*20 points*<br> how do you get the weighted average from this table?
sertanlavr [38]

Answer:

Weighted average is the average of a set of numbers, each with different associated “weights” or values. To find a weighted average, multiply each number by its weight, then add the results.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In a certain college, 33% of the physics majors belong to ethnic minorities. Of 8 students are selected at random from the physi
tiny-mole [99]

Answer: 0.0187

Step-by-step explanation:

The binomial distribution formula for probability :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The probability that the physics majors belong to ethnic minorities =0.33

Number of students selected : n= 8

Now, the probability that more than 5 belong to an ethnic minority :-

P(x>5)=P(6)+P(7)+P(8)\\\\=^8C_6(0.33)^6(0.67)^{2}+^8C_7(0.33)^7(0.67)^{1}+^8C_8(0.33)^8(0.67)^{0}\\\\=(\dfrac{8!}{6!2!})(0.33)^6(0.67)^{2}+(8)(0.33)^7(0.67)^{1}+(0.33)^8(0.67)^{0}\\\\=0.0186577086013\approx0.0187

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187

7 0
2 years ago
Please help! The answer isn’t 36! <br> Find the value of the expression:
Brums [2.3K]

Answer:

3.6

Step-by-step explanation:

Hi there!

We are given this expression:

.6√36 (.6*√36)

And we want to find the value of it

.6 can be re-written as 0.6

In that case,

0.6*√36

First, simplify what's under the radical: √36, which is equal to 6 (6*6=36)

The expression then becomes:

0.6*6

Multiply those numbers together

0.6*6=<u>3.6</u>

Hope this helps!

8 0
2 years ago
Here is the question !
Delvig [45]

Answer:

Step-by-step explanation:

Co-ordinates of F, G and H are:

F (-4, 5)

G (1, 10)

H (-9, 10)

You can find the lengths of sides by using the distance formula:

<em>length</em>(FG) = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}} = \sqrt{(1-(-4))^{2} + (10-5)^{2}} = 5\sqrt{2} units

Similarly,

<em>length</em>(GH) = 10 units

<em>length</em>(HF) = 5\sqrt{2} units

Hence, perimeter will be:

P = <em>length</em>(FG) + <em>length</em>(GH) + <em>length</em>(HF) = 10(\sqrt{2} + 1) units

3 0
3 years ago
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