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3 years ago

What is the missing numbers in this sequence: , 7, 5, 3, , -1

Mathematics

1 answer:

matrenka [14]3 years ago

5 0

Answer:

1 is the missing number.

Step-by-step explanation:

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: Find the approximate perimeter of the isosceles triangle A OPD.

AleksAgata [21]

Answer:

24.98 units

Step-by-step explanation:

The picture of the question in the attached figure

we have the coordinates

P(1,-6),D(4,3),O(7,-6)

The perimeter of triangle OPD is equal to

$P=OP+PD+OD$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance OP

we have

O(7,-6),P(1,-6)

substitute in the formula

$d=\sqrt{(-6+6)^{2}+(1-7)^{2}}$

$d=\sqrt{(0)^{2}+(-6)^{2}}$

$d_O_P=6\ units$

step 2

Find the distance PD

we have

P(1,-6),D(4,3)

substitute in the formula

$d=\sqrt{(3+6)^{2}+(4-1)^{2}}$

$d=\sqrt{(9)^{2}+(3)^{2}}$

$d_P_D=\sqrt{90}\ units$

step 3

Find the distance OD

we have

O(7,-6),D(4,3)

substitute in the formula

$d=\sqrt{(3+6)^{2}+(4-7)^{2}}$

$d=\sqrt{(9)^{2}+(-3)^{2}}$

$d_O_D=\sqrt{90}\ units$

step 4

Find the perimeter

$P=6+\sqrt{90}+\sqrt{90}$

$P=6+9.49+9.49=24.98\ units$

4 0

3 years ago

Given that (3,9) is on the graph of f(x), find the corresponding point for the function. F(x)+1

Goryan [66]

Answer:

(4,10)

Step-by-step explanation:

Input: (3,9)

(3+1, 9+1)

Output: (4,10)

8 0

3 years ago

Read 2 more answers

Using coupons you spell $91 grocery shopping this is 65% of the total retail price of groceries how much would you have spent if

Andrews [41]

$140 because

$91 divided by 65 is 1.4
1.4 times 100 is 140

3 0

3 years ago

An investment company pays 8% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit

Leno4ka [110]

Before we start answering the question, let's define the compound interest formula:
$A = P(1+ \frac{r}{n}) ^{nt}$
Where:
'A' is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

(A) Find Principal Amount
Given:
A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
$12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}$
$12,000 = P(1.04) ^{10}$
$P = 8106.77$
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5.
$12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}$
$12,000 = P(1.04) ^{20}$
$P = 5476.64$
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!

4 0

4 years ago

Please help

gregori [183]

A. Zero points of intersection

the lines are parallel

7 0

3 years ago

Read 2 more answers