Answer:
2. z = 1 - 2·i → √5
3. z = 4 + 3·i → 54
4. z = 6 - 8·i → 10
1. z = √5 - i → √6
Step-by-step explanation:
1. z = √5 - i
The distance from the origin = √((√5)² +1²) = √(5 + (-1)²) = √6
Therefore, z = √5 - i → √6
2) z = 1 - 2·i
The distance from the origin = √(1² + (-2)²) = √5
Therefore, z = 1 - 2·i → √5
3) z = 4 + 3·i
The distance from the origin = √(4²+3²)) = √(16 + 9) = √25 = 5
Therefore, z = 4 + 3·i → 5
4) z = 6 - 8·i
The distance from the origin = √(6²+8²)) = √(36 + 64) = √100= 10
Therefore, z = 6 - 8·i → 10
Approximately how deep below the ground are they capable of digging in meters?
Which graph shows the result of dilating this figure by a factor of 4 about the origin?
B is the answer just took the test
1.4 has 2 significant digits as a result of which rule? a. All nonzero numbers are significant. b. Zeros between nonzero digits are significant. c. Final zeros after the decimal point are significant. d. Zeros used solely for spacing the decimal point are not significant.
Answer:
All non zero digits count in significant digits.
(a) is correct option.
Step-by-step explanation:
Given that,
1.4 has 2 significant digits.
We know that,
Significant digits :
All non zero digits count in significant digits.
All zero which is present in between two significant digits it is also significant.
Leading zero is not count as significant.
Trailing zero is count as significant.
We need to find 1.4 has 2 significant digits as a result of which rule
Using given rules
1.4 has 2 significant digits it is follows the rule of all non zero digits count in significant digits.
Hence, All non zero digits count in significant digits.
(a) is correct option.
Alex threw a ball into the air. Its height (in feet) above ground after x seconds is given by f(x) = –2(x – 4) + 23. What's the maximum height of the ball above ground?
A) 29 feet
B) 15.5 feet
C) 23 feet
D) 31 feet
Answer:
B)15.5
Step-by-step explanation:
Is the relationship proportional
If you have 8 thousandths how many times would you multiply by 10
Answer:
-3
Step-by-step explanation:
8 thousandths = 0.008
8*10^-3=0.008
When x+2 = 1/5y is written in standard form, what is the value or B
Answer:
B=-1
Step-by-step explanation:
Standard form is Ax+By=C.
In this case, Ax is x, By is 1/5y, and C is +2.
To isolate the 2 (the C), subtract x from both sides of the equation:
x+2=1/5y
-x -x
2=-x+1/5y.
Now, the value of B, the x value, is -1.
A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.
[tex]1.16 \times {10}^{ - 7} = [/tex]
[tex]116 \times {10}^{ - 2} \times {10}^{ - 7} = [/tex]
[tex]116 \times {10}^{ - 9} = [/tex]
[tex]0.000000116[/tex]
_________________________________
Done...
♥️♥️♥️♥️♥️
Click and Answer... plz.. Oreos.
A boat can hold at most 1,000 pounds. If there is 300 pounds of equipment plus 25-pound boxes, what is the maximum number of boxes the ship can carry? Write as an inequality.
Answer:
28 boxes maximumStep-by-step explanation:
Given
Capacity of a boat = 1000 poundsEquipment = 300 poundsBoxes = 25 pounds eachNumber of boxes = xRequired inequality
300 + 25x ≤ 100025x ≤ 700x ≤ 700/25x ≤ 28 boxesAlisa uses her cell phone to search how many pounds of sand will is required to fill 1 cubic foot and finds out the answer is 100 pounds. Choose 1 of the brands and compute how much it will cost Alisa to purchase enough sand to fill the court. Sand b- 0.08$ per lb sand A- 0.08333 PLS HELP ME
This question is Incomplete
Complete Question
Alisa hopes to play beach volleyball in the Olympics someday. She has convinced her parents to allow her
to set up a beach volleyball court in their back yard. A standard beach volleyball court is approximately
26 feet by 52 feet. She figures that she will need the sand to be one foot deep. She goes to the hardware store to shop for sand and sees the following signs on pallets containing bags of sand.
Sand A = 60Ibs = $5
Sand B = 150lbs = $12
Alisa uses her cell phone to search how many pounds of sand is required to fill 1 cubic foot and finds the answer is 100 pounds. Choose one of the brands and compute how much it will cost Alisa to purchase enough sand to fill the court. Identify which brand was chosen as part of your answer.. Answer:
For Sand A should would need:
$11.266.67
Step-by-step explanation:
From the above question, we can assume that: her court is 1 cubic foot and can be filled with 100 pounds of sand
First we find the volume of the box
52ft × 26ft × 1 ft
= 1352 ft³
100Ib = 1 ft³
1352 ft³ × 100 Ib/ft³
= 135200Ibs
Sand A = 60Ibs = $5
Hence, $1 = 60Ibs/5
= 12Ibs
To purchase enough sand using Sand A to fill the court
= 135200Ibs/12lbs
= $11.266.67
writing equations of lines
Answer:The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
Step-by-step explanation:
Step-by-step explanation:
step 1 pick two pionts
step 2 find slope rise over run
step 3 plugin all info into y=mx+b form ex 1=2(6)+b
step 4 solve for b
step 5 write your equation
I need help i don't get it.
Naomi has a new kitten. She bought a litter bot with the dimensions shown in the picture. How much cat litter does she need to fill the completely?
Answer:
2,032.02 inches cubed of litter
Step-by-step explanation:
You have to multiply all of the numbers to find the area
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 * length + 2 * width = 48 Find the length, in centimeters, if the width is 10 centimeters
Answer:
14
Step-by-step explanation:
2xL + 2x10 = 48
2xL + 20 = 48
2xL = 28
L = 14
Answer:
14
Step-by-step explanation:
yes
A car uses 125 gallons of gasoline to travel 5034 miles. How far can the car travel on 1 gallon of gasoline? please answer :(
Answer:
I think 40 miles because 5034 divided by 125 is 40.272
Find the value x.
AC=6
CB=2x+10
AB=36
Answer:
10^2
Step-by-step explanation:
3. Each month, Arnold receives $1,050 for working part-time at his uncle's camera store.
For each camera that he sells, he earns a $125 bonus. Which equation can be used to
find Arnold's total monthly paycheck, P(x), based on the number of cameras that he
sells, x?
Answer:
$1,050*125x=P(x). I just need more characters.
Step-by-step explanation:
The equation that represents Arnold's total monthly paycheck is
P(x) = 125x + 1050.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, Each month, Arnold receives $1,050 for working part-time at his uncle's camera store so it is a constant income.
For each camera that he sells, he earns a $125 bonus.
Let P(x) be the monthly check and no. of cameras sold be x.
∴ Arnold's total monthly paycheck P(x) selling x cameras is,
P(x) = 125x + 1050.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ2
(b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!
Columbus, Ohio:8.25x 10^5
The United States: 3.2*10^8
Answer:
Omg this is the third time i answered this question, The United States is 387.87 times larger than Columbus, Ohio.
Step-by-step explanation:
8.25 times 100000 = 825,000
3.2 times 100000000 = 320,000,000
320,000,000 divided by 825,000 = 387.87
They need to raise $1,680 for travel expenses. Each chocolate bar is being sold for $2, and each box contains 30 chocolate bars. There are seven scholars on the team and they agree to each sell the same number of boxes. How many boxes will each scholar have to sell in order to raise enough money to cover the team's travel expenses?
Answer:
Each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
Step-by-step explanation:
Let x denotes number of boxes to be sold by each scholar to raise enough money to cover the team's travel expenses.
Number of scholars = 7
Total number of boxes [tex]=7x[/tex]
Total number of chocolate bars [tex]=(7x)(30)=210x[/tex]
Price of 1 chocolate bar = $2
Price of [tex]210x[/tex] chocolate bars [tex]=210x(2)=\$420x[/tex]
Also,
Total amount to be raised for travel expenses = $1680
So,
[tex]1680=420x\\x=\frac{1680}{420}\\ x=4[/tex]
Therefore,
each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
On Jerry's text message phone plan, she paid $0.30 for every 20 messages she sent. what is the cost per message? ___ dollars
which graph best approximates Jerry's text message plan? (on the y-axis each mark is $1
The cost of each message is $0.015.
Option C graph best approximates Jerry's text message plan.
Given,
On Jerry's text message phone plan, she paid $0.30 for every 20 messages she sent.
We need to find what is the cost per message in dollars.
How do we find the unit cost of an item?We divide the total cost by the number of items.
Example: 10 pieces cost $20
1 pieces cost = $20/10 = $2
We have,
$0.30 for every 20 messages.
The cost of each message:
= $0.30/20
= $0.300
= $0.015
We can see that in the graph x-axis represents the number of messages and the y-axis represents the cost of each message.
We have,
$0.30 = 20 messages
3 x $0.30 = 3 x 20 messages
$0.90 = 60 messages.
We need a graph that has a point that intersects $0.90 and 60 messages.
We see that in the graph of Option C.
Option C graph best approximates Jerry's text message plan.
Thus,
The cost of each message is $0.015.
Option C graph best approximates Jerry's text message plan.
Learn more about how to find the unit cost here:
https://brainly.com/question/2645397
#SPJ2
PLEASE HELP ANSWER THIS ASAP
Answer:
B
Step-by-step explanation:
Open circle: < or >
Arrows point outward
Points located at 5 and 18
Answer:
a
Step-by-step explanation:
Which numbers are a distance of 5 units from 3 on the number line?
Write your answer : ___ and ___
3 + 5 = 8
3 - 5 = -2
-2 and 8
What is the sum of the measures of the interior angles of the decagon?
Given parameters:
Number of sides of the regular body = 10
A decagon has 10 sides.
Unknown:
Sum of the measures of the interior angles = ?
Solution;
To find the sum of the interior angles of a decagon; use the expression below:
Sum of interior angles = (n - 2) x 180
where;
n = number of sides;
So,
Sum of interior angles = (10 - 2) x 180 = 1440°
The sum of interior angle of a decagon is 1440°
a migrating bird flies 468 miles in 13 hours. how many miles does it fly in 3 hours?
Answer:
The answer is 108mi
Step-by-step explanation:
to solve this problem, we need to write a ratio.
[tex]\frac{468mi}{13hrs}[/tex]
to solve for 3 hours, we need to figure out how many miles the bird can fly in 1 hour. to do that, we need to divide the numerator and denominator by 13.
[tex]\frac{36mi}{1hr}[/tex]
now we have a unit rate that represents distance covered per hour.
to solve for 3, we need to multiply the numerator and denominator by 3.
[tex]\frac{108mi}{3hrs}[/tex]
the question is asking for miles. therefore, the bird can fly 108mi in 3 hrs.
hope this helps!
Answer:
108 miles
Step-by-step explanation:
For this problem you can create a proportion:
[tex]\frac{468 miles}{13 hours}[/tex]
To find how many miles it flies in 3 hours, we need to find the unit fraction. Do this by making the denominator (bottom number) 1:
here, we must divide by 13:
[tex]\frac{468 miles}{13 hours}[/tex]÷[tex]\frac{13}{13}[/tex]= [tex]\frac{36 miles}{1 hour}[/tex]
Each hour, they fly 36 miles.
To find how many miles they fly in 3 hours, make a proportion:
[tex]\frac{36 miles}{1 hour}[/tex]=[tex]\frac{x miles}{3 hours}[/tex]
Then, solve:
use cross multiplication:
36·3=108
x·1=x
108=x
Plss help if can!! Thanks!
write 3.72* 10 power of -2 in standard form
Answer:
0.0372
Step-by-step explanation:
Convert to scientific notation.
Answer:
0.0372 or 93/2500Step-by-step explanation:
3.72 x 10 = 37.2
10 to the power of -2 = 0.01
3.72 x 10 to the power of -2 =
0.0372
93/2500
Hope this helps! <3
Find each missing measure.
154°
-Y
1
X
2 3
4
5
W
6
7
N
D
23
25
What is the name of this angle
Answer:
ABC
Step-by-step explanation:
I am pretty sure
Answer:
I think this is an acute angle
Step-by-step explanation:
Can someone explain this me..
Is 27.5 and 11.5 irritation or rational and why
Answer:
rational because they end
Step-by-step explanation:
Answer:
27.5 and 11.5 are both rational numbers.
Step-by-step explanation:
This is because they do not continue on forever. You know what they are. So numbers like 1, 1.5, 1.234, and 100 are rational. Numbers like pi, 1/3 (1.33333 forever) are irrational.