Please answer :) ( Will give brainlst)

Evaluate (2 - 5i)(p + q)i when p = 2 and q = 5i a. 29i b. 291-20 C.-21i d.29

attashe74 [19]

Answer:

A. 29i

Step-by-step explanation:

Step 1: Plug in given variables

(2 - 5i)(2 + 5i)i

Step 2: Difference of squares (expand)

(4 - 25i²)i

Step 3: Imaginary numbers rules

(4 - 25(-1))i

Step 4: Combine like terms

(4 + 25)i

(29)i

Your final answer will be 29i

8 0

3 years ago

Read 2 more answers

If 1.6 cup of icing cover 2.3 of a cake then how much icing is need to cover the entire cake

Setler79 [48]

Mark me as brainliest! :)

1/6 * 3/2 = 1/4

5 0

3 years ago

Write the following sentence into an expression using x as your variable: Myrna and Tom collect stamps. Tom has four more than h

balandron [24]

Answer: f(x) = x/2 + 4.

where f(x) is the number of stamps that Tom has, and x is the number of stamps that Myrna has.

Step-by-step explanation:

The statement is:

"Tom has four more than half the stamps that Myrna has"

For how is written, we can model the number of stamps that Tom has as a function f(x).

f(x) represents the number of stamps that Tom has, and x is the number of stamps that Myrna has.

Then:

"four more than a number" is written as:

N + 4 (where N is the number)

"Half the stamps that Myrna has" is written as:

x/2.

Then the whole statement can be modeled as:

f(x) = x/2 + 4.

notice that we have x/2, and f(x) must be a whole number, so Myrna must have an even number of stamps (in that case x/2 will be integer)

8 0

3 years ago

Two cylinders are shown below. Which cylinder has the greater volume? Use 3.14 for π. Round to the nearest hundredth. Use the dr

Lemur [1.5K]

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

To find which cylinder has the greater volume, we need to find out the volume of each one.

As we all know that the formula used to determine the volume of a cylinder is:

V = The base area*the height

<=> V = π $r^{2}$ h (cubic units)

For example, in my attached photo, we will use this formula to find the volume of each one.

1. Cylinder A:

The base area = π $r^{2}$ = π $3.5^{2}$ = 38.46 square in

The height = 8.5 in

=> the volume of Cylinder A

= The base area*the height

= 38.46*8.5

= 326.91 cubic in

2. Cylinder B:

The base area = π $r^{2}$ = π $2.7^{2}$ = 22.89 square in

The height = 11 in

=> the volume of Cylinder A

= The base area*the height

= 22.89*11

= 251.79 cubic in

Hence, Cylinder B has the greater volume

6 0

3 years ago

According to Statcast, the average left field home run travels 378 feet and reaches a maximum height of 81 feet. Assuming the ba

kogti [31]

Answer:

H = V0y t - 1/2 g t^2 equation for vertical height of object with initial speed (V0y = V0 sin theta)

If H is to be considered an absolute value from t = 0

h = H + 3 = V0y t - 1/2 g t^2 + 3 where h is height from ground

8 0

3 years ago