3i(10+2i)<br><br> helpppp it’s algebra 2

7,2,-3,-8,-13,-18 <br>find the 97 term

ludmilkaskok [199]

Answer:

- 473

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 7 = - 3 - 2 = - 8 - (- 3) = - 13 - (- 8) = - 18 - (- 13) = - 5

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = - 5, thus

$a_{97}$ = 7 + (96 × - 5) = 7 - 480 = - 473

5 0

3 years ago

The city is planning to add a fish pond to a neighborhood park. The figure below is a drawing of the fish pond. Its scale is 1/2

faust18 [17]

Answer:

Part a) The area of the actual fish pond is $2,956.50\ ft^{2}$

Part b) The length of the fence will be $244.20\ ft$

Step-by-step explanation:

we know that

The scale drawing is

$\frac{(1/2)}{15}\frac{in}{ft}=\frac{1}{30}\frac{in}{ft}$

step 1

Find the actual dimensions of the fish pond

To find the actual dimensions divide the measure of the drawing by the scale drawing

$0.5\ in=0.5/(1/30)=15\ ft$

$1\ in=1/(1/30)=30\ ft$

$2.5\ in=2.5/(1/30)=75\ ft$

step 2

Find the area of the actual fish pond

The area of the fish pond is equal to the area of a circle p[lus the area of rectangle

$A=\pi r^{2} +bh$

we have

$r=15\ ft$

$b=75\ ft$

$h=30\ ft$

substitute

$A=(3.14)(15)^{2} +(75)(30)=2,956.50\ ft^{2}$

step 3

Find the length of the fence around the entire fish pond

The perimeter of the fish pond is equal to the circumference of a complete circle plus the length of 75 ft two times

so

$P=2\pir+2(75)$

we have

$r=15\ ft$

substitute

$P=2(3.14)(15)+2(75)=244.20\ ft$

3 0

3 years ago

1/5 - 2/15 ×1/5 - 2/15

ValentinkaMS [17]

Answer:

1 /25.

Step-by-step explanation:

Using order of operations, we perform the multiplication first:

1/5 - 2/15 × 1/5 - 2/15

= 1/5 - 2/75 - 2/15 LCD of 5, 15 and 75 is 75 so we have:

15/75 - 2/75 - 10/75

= 13/75 - 10/75 = 3/75

= 1 /25 (answer).

4 0

3 years ago

Which is not a characteristic of an exponential parent function?

zaharov [31]

Given:

The characteristic of an exponential parent function in the options.

To find:

Which is not a characteristic of an exponential parent function?

Solution:

The exponential parent function is:

$y=b^x$

Where, $b>0$ .

At $x=0$ ,

$y=b^0$

$y=1$

It means the function passes through the point (0,1) but it does not passes through the origin. So, the statement in option A is true but the statement in option C is false.

The domain of the exponential parent function is all real numbers and the range is positive real numbers (y > 0). So, the statements in the options B and D are true.

Therefore, the correct option is C.

8 0

3 years ago

Solve the equation?

stiks02 [169]

Answer:

A

Step-by-step explanation:

Given

p² + 2p - 8 = 0 ← in standard form

with a = 1, b = 2, c = - 8

Using the quadratic formula to solve for p