If z=4-3i write z squared + 17 in the form a+bi, a,b E R

9. If J= 12, what is J/3 + 3?

3241004551 [841]

Answer: the answer is 7.

Step-by-step explanation:

you take 12, divide it by 3 to get 4, then you add 3 to get 7.

6 0

3 years ago

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Can someone please help me?

I am Lyosha [343]

I used to look at the examples i can’t remember now what it is but look at the examples

7 0

3 years ago

Give the exponential function A(x)=P(1+r)x, what value for r will make the function a growth function?

wolverine [178]

for this to be a growth function it has to be any number that is latger than zero

FOR EXAMPLE :-

50% which equals to 0.5

4 0

3 years ago

PLEASE HELP ASAP !!

wariber [46]

Answer:

First figure: $954cm^3$

Second figure: $1,508yd^3$

Third figure:

Height= q
Side length = r

Fourth figure:  $726cm^3$

Explanation:

A. First figure:

1. Formula:

$\text{Volume of a cylinder}=\pi \times radius^2\times length$

2. Data:

radius = 9cm / 2 = 4.5cm

length = 15 cm

3. Substitute in the formula and compute:

$Volume=\pi \times (4.5cm)^2\times (15cm)\approx 954cm^3\approx 954cm^3$

B. Second figure

1. Formula:

$\text{Volume of a leaned cylinder}=\pi \times radius^2\times height$

2. Data:

radius = 12yd

height = 40 yd

3. Substitute and compute:

$Volume=\pi \times (12yd)^2\times (40yd)\approx 1,507.96yd^3\approx 1,508yd^3$

C) Third figure

a) The height is the segment that goes vertically upward from the center of the base to the apex of the pyramid, i.e. q .

The apex is the point where the three leaned edges intersect each other.

b) The side length is the measure of the edge of the base, i.e. r .

When the base of the pyramid is a square the four edges of the base have the same side length.

D) Fourth figure

1. Formula

The volume of a square pyramide is one third the product of the area of the base (B) and the height H).

$Volume=(1/3)B\times H$

2. Data:

height: H = 18cm

side length of the base: 11 cm

3. Calculations

a) Calculate the area of the base.

The base is a square of side length equal to 11 cm:

$\text{Area of the base}=B=(11cm)^2=121cm^2$

b) Volume of the pyramid:

$Volume=(1/3)B\times H=(1/3)\times 121cm^2\times 18cm=726cm^3$

4 0

3 years ago

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Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64

valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0

3 years ago