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3 years ago

I need help with the last question pls and thank you

Mathematics

1 answer:

GuDViN [60]3 years ago

6 0

Answer:

Jesus is the son, the spirit, and the living God.

Step-by-step explanation:

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Hello math olzzzzzzz

galben [10]

Answer:

<u>Checkmark:</u>

✓ The sequence is geometric

✓ The recursive formula for the sequence is $An = A_{n-1}(-3)$ ; $A_{1} =-2$

✓ The explicit formula for the sequence is $t_{n} = (-2) (-3)^{n-1}$

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.

r = -3

$t_{n} = t_{1} r^{n-1}$

$t_{1}$ = -2

Substitute the values in the equation:

$t_{n} = (-2) (-3)^{n-1}$

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)

The recursive formula would be:

$An = A_{n-1}(-3)$

Checkmark:

✓ The sequence is geometric

✓ The recursive formula for the sequence is $An = A_{n-1}(-3)$ ; $A_{1} =-2$

✓ The explicit formula for the sequence is $t_{n} = (-2) (-3)^{n-1}$

6 0

3 years ago

A and B are two points on square ABCD with coordinates A(1,3) and B(5,3). What are the lengths of the diagonals AC and BD? Round

lilavasa [31]

Answer:

$AC = BD = 5.7$

Step-by-step explanation:

Given

$A = (1,3)$

$B = (5,3)$

Required

The length of the diagonals

First, calculate the length of AB using:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$AB = \sqrt{(1 - 5)^2 + (3 - 3)^2}$

$AB = \sqrt{(-4)^2 + 0^2}$

$AB = \sqrt{16}$

$AB = 4$

The diagonal of a square is calculated using:

$Diagonal = x\sqrt{2$

Where x is the length of each side.

So:

$AC = BD = AB\sqrt{2}$

$AC = BD = 4\sqrt{2}$

$AC = BD = 5.7$ -- approximated

7 0

3 years ago

HELPPPPP!!!!!!!!!<br>Determine the slope of a line whose x-intercept is -6 and y-intercept is -4.

Margaret [11]

2 thanks I could help

4 0

3 years ago

Help plsssssssssssssssssssss

LuckyWell [14K]

18-23
The mode is the number/set of numbers that appear most in data.
In this bar graph, 18-23 is the highest bar as more students play 18-23 games per week than any other category, so 18-23 is the mode

3 0

3 years ago

Read 2 more answers

In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep

Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.

7 0

4 years ago