You can simplify to 9i/3+9i
Multiply by 3 - 9i / 3 - 9i
You get 27i + 81 / 90
help please!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
HI
On a map of Texas, one inch represents 75 miles. The distance between
San Antonio and Houston is 2.7 inches on the map. What is the distance
from San Antonio to Houston according to the map?
A 175 miles
B. 202.5 miles
C. 225.5 miles
D. 270 miles
Answer: B. 202.5 miles
Step-by-step explanation:
Multiply the scale ratio by the number of inches given on the map.
2.7 × 1 inch and 2.7 × 75 miles 2.7×75=202.5
2.7 inches represents 202.5 miles
Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where r is the amount spent on rent and m is the number of months she stays in the apartment. What is the constant of proportionality (r to m) for this proportional relationship?
A.
B.
C.
177.5
D.
355
answer is c because if it's not a and b then the only answers will be c and d and d is the same as the number so it's c
12) Given A(9, 2), B(-1, y)
C.(-5, 16) and D(-8, 11),
find the value of y So
that AB is perpendicular CD
Answer:
y=8
Step-by-step explanation:
(y-2)/(-1-9)=(y-2)/-10 (11-16)/(-8-(-5))=-5/-3=5/3 Perpendicular slope is -3/5
(y-2)/10=-3/5 cross multiply 5(y-2)=3(10) 5y-10=30 add 10 to both sides
5y=40 divide both sides by 5 and y is equal to 8.
The value of y is 8 if AB is perpendicular CD after using the slope formula.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),
AB is the perpendicular CD
Using the slope formula to find the slope between A and B:
(y-2)/(-1-9)
= (y-2)/-10
(11-16)/(-8-(-5)) =
-5/(-3)
= 5/3
The perpendicular slope is -3/5
(y-2)/10=-3/5
5(y-2)=3(10)
5y-10=30
5y=40
y = 8
Thus, the value of y is 8 if AB is perpendicular CD after using the slope formula.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ2
PLEASE HELP ANYONE:))
Answer:
3 million dollars
Step-by-step explanation:
i just did this and got it right
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled? 29 32 3212 234916
Answer: 30 small bags
Step-by-step explanation:
From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.
When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:
= 6514/214
= 30.43
= 30 small bags
WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height?
Answer:
I think around 17 min...
Step-by-step explanation:
there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....
60/8= 7.5 and 60/ 6=10
so 7.5+10 = 17.5
somewhere around there
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?
Answer:
Step-by-step explanation:
gud question
*PLEASE HELP ANSWER*
* I WILL GIVE BRAINLIEST *
Answer:
Union
Step-by-step explanation:
None of the terms in each inequality intersect.
so its not intersection
Its two inequalities put together so its union
Nedd help for this one
Answer:
20, -7, -14, 10, -5, 8
20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)
38 + (-26) - add like terms
12
12/6 -divide sum by number of values
2 - answer
hopes this helps
Step-by-step explanation:
Mercurys average distance fron the sun is 35,000,000 miles. It takes 3 minutes for light to travel from the sun to Mercury. Neptune with an average of 2.8 x 10 to the power or 9 miles from the sun. How many times farther from the sun is Neptune than Mercury? How ling does it take light to reach Neptune?
Answer:
Neptune is 80 times farther from the Sun than Mercury.
It takes 4 hours to reach the light from the Sun to Neptune.
Step-by-step explanation:
Given that the average distance between the Sun and Mercury,
[tex]d_1=35,000,000[/tex] miles [tex]=3.5\times 10^7[/tex] miles.
The time to reach the light from the sun to Mercury, [tex]t_1 = 3[/tex] minutes
Let v m/s be the speed of light.
So, [tex]v=\frac{d_1}{t_1}\cdots(i)[/tex] [as speed = distance/time]
Now, the average distance between the Sun and Neptune,
[tex]d_2=2.8\times 10^9[/tex] miles.
The ration of the average distance of Neptune and Mercury from Sun,
[tex]\frac{d_2}{d_1}=\frac{2.8\times 10^9}{3.5\times 10^7}[/tex]
[tex]\frac{d_2}{d_1}=80\cdots(ii)[/tex]
So, Neptune is 80 times farther from the Sun than Mercury.
The time to reach the light from the sun to Neptune,
[tex]=\frac{d_2}{v}[/tex] [as time=distance/speed]
[tex]=\frac{d_2}{d_1/t_1}[/tex] [using equation(i)]
[tex]=\frac {d_2}{d_1}\times t_1[/tex]
[tex]=80\times 3[/tex] [using equation(ii)]
=240 minutes
=4 hours [as 1 hour =60 minutes]
Hence, it takes 4 hours to reach the light from the Sun to Neptune.
Using the speed - distance relationship, we can deduce that Neptune is 80 times farther from the sun than Mercury and it will take 240 minutes for light from the sun to reach Neptune.
Given the Parameters :
Mercury's average distance from sun = 35000000 miles Time taken for light to travel to mercury = 3 minutes Neptune's average distance from sun = [tex] 2.8 \times 10^{9} [/tex]Number of times Neptune is father from the sun than Mercury :
(Neptune's distance) ÷ Mercury's distance [tex] \frac{2.8 \times 10^{9}}{35000000}= 80 [/tex]Hence, Neptune is 80 times farther from the sun than Mercury.
Time taken for light to reach Neptune :
Time taken to each mercury × 803 minutes × 80 = 240 Minutes
60 minutes = 1 hour
240 minutes = (240 ÷ 60) = 4 hours
Therefore, it would take 4 hours for light to reach Neptune.
Learn more : https://brainly.com/question/18405415
Tommy and Arnold are playing with water balloons. Arnold is standing by a bush that is 20 feet from where Tommy is standing. Tommy released a water balloon at 5 feet above the ground and hits Arnold’s chest- which is also 5 feet above the ground. The balloon reached a maximum height of 15 feet off the ground. using Tommy’s location as the starting point, help Tommy write an equation that describes the path of the water from the point of release to Arnold's chest. Using the equation y=a(x-h)^2+k
Answer:
The equation that describes the path of the water balloon is:
[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]
Step-by-step explanation:
The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from [tex]A(x,y) = (0\,ft, 5\,ft)[/tex] and hits Arnold at [tex]B(x,y) = (20\,ft, 5\,ft)[/tex]. Given the property of symmetry of quadratic function, water ballon reaches its maximum at [tex]C(x,y) = (10\,ft,15\,ft)[/tex], which corresponds to the vertex of the standard equation of the parabola, whose form is:
[tex]y = a\cdot (x-h)^{2}+k[/tex] (Eq. 1)
Where:
[tex]a[/tex] - Vertex parameter, measured in [tex]\frac{1}{ft}[/tex].
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex, measured in feet.
[tex]x[/tex], [tex]y[/tex] - Horizontal and vertical location of the ball, measured in feet.
If we know that [tex]x = 0\,ft[/tex], [tex]y = 5\,ft[/tex], [tex]h = 10\,ft[/tex] and [tex]k = 15\,ft[/tex], the vertex parameter is:
[tex]5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft[/tex]
[tex]a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}[/tex]
[tex]a = - \frac{1}{10}\,\frac{1}{ft}[/tex]
The equation that describes the path of the water balloon is:
[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]
Factor the following polynomial completely.
A.
B.
C.
D.
Step-by-step explanation:
Please write complete question
Answer:
lol u gotta put the thing first bro
Step-by-step explanation:
ASAP ASAP ASAP
HELP ME PLEASE
Answer:
D i'm pretty sure
Step-by-step explanation:
Answer: $2.19
Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.
12 5/8 in decimal form
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour.
Choose a function to represent this scenario
Answer:
12.625
Step-by-step explanation:
12 is a whole so it would go before the decimal point.
5/8 or 5 divided by 8 is equal to 0.625.
12 + 0.625 = 12.625
Combine like terms
9w-w =
Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?
Answer:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Step-by-step explanation:
Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.
Since each section of fencing is 1-foot long, both x and y must be integer numbers.
The perimeter of the rectangular space is calculated as:
P = 2x + 2y
And we know she uses all 30 sections of fencing, thus:
2x + 2y = 30, where x, y are integers and positive.
Simplifying by 2:
x + y = 15
Solve for x:
x = 15 - y
This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.
Another valid option is for y=2, x=13
Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.
Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.
The area of a rectangle is
[tex]A=x\cdot y[/tex]
Testing some possible arrangements:
y=1, x=14
[tex]A=1\cdot 14= 14 ft^2[/tex]
y=2, x=13
[tex]A=2\cdot 13= 26 ft^2[/tex]
y=3, x=12
[tex]A=3\cdot 12= 36 ft^2[/tex]
We can notice the combination y=7, x=8 has an area of:
[tex]A=7\cdot 8= 56 ft^2[/tex]
This is the largest possible area of all combinations, thus:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
anya bought 1.3 pounds of apples. She used 0.28 pound in a pie. How much is left? Use the bar diagram to help you
Answer:
1.02 pounds left
Step-by-step explanation:
Skip the bar graph, just subtract .28 from .30 and voila!
Help pleaseeeee it’s on algebraic proofs
Answer:
Given
Addition
simplify
answer
Step-by-step explanation:
Answer:
1. Given
2.Addition
3. simplify
4. answer
Step-by-step explanation:
Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.
Answer:
Put 6 yellow unit tiles on the right side of the equal sign.Step-by-step explanation:
Given the equation that Juanita wants to model expressed by the equation
3 x + 2 = -x + 6
If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6
We can as well calculate the value of x from the expression as shown;
3 x + 2 = -x + 6
collect like terms
3x+x = 6-2
4x = 4
Divide both sides by 4
4x/4 = 4/4
x = 1
Answer:
the answer is D put 6 yellow unit tiles
Step-by-step explanation:
i took the test review and test
Based on the lesson identify the first operation needed to solve the following equation 2x + 3 = 11
Answer: Subtract 3 from both sides of the equation
simplify
divide both sides on the equation by the same term
simplify
your answer should be 4
Step-by-step explanation:
2.08539251 rational or not ?
Answer:
Yes it is rational.
Step-by-step explanation:
Answer:
Rational I think
Step-by-step explanation:
Rational means it can be expressed as a fraction
Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)
Answer:
y = -⁸/₉(x + 1)² +5Step-by-step explanation:
y = a(x - h)² + k - vertex form of quadratic function with vertex (h, k)
y = a(x - (-1))² + 5 - vertex form of quadratic function with vertex (-1, 5)
y = a(x +1)² + 5
graph goes through (2, -3) so if x=2 then y =-3
-3 = a(2+1)² + 5
-3 -5 = a×3² + 5 - 5
-8 = 9a
a = -⁸/₉
So the equation of the function:
y = -⁸/₉(x + 1)² + 5
I need help pls , Solve: 5a + 4 = 19
5a+4=19 this is the equation to solve for a 5a=19-4
5a=15
a=15÷3
a=3
the number of pounds of dog food that a pet store has is represented by the equation
How many pounds of dog food will the pet store have after 21 days?
Answer:
what is the equation?
Step-by-step explanation:
Help me with this question plz!!!
2x - 4=x+6
Answer:
x = 10Step-by-step explanation:
2x - 4 = x + 6 add 4 to both sides
2x - 4 + 4 = x + 6 + 4
2x = x + 10 subtract x from both sides
2x - x = x - x + 10
x = 10
PLEASE HELP ME OUT IF YOU CAN
Answer:
D
Step-by-step explanation:
6 lbs of potatoes cost $72. How many
lbs of potatoes can you get with $516?
Answer:
42
Step-by-step explanation:
516 divided by 72 = 7.1. You cant use .1 pound . Then you do 6*7 = 42 pounds of potatoes
Write 822 in scientific notation.
Answer:
8.22 × 10²
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to convert from standard form to scientific notation:
822 = 8.22 × 10²
why is it better to use the metric system rather than the English system in scientific measurement.
A. the English system uses one unit for each category of measurement
B.the metric system uses one unit for each category of measurement
C. the English system uses consistent fractions that are multiples of 10
D. the metric system utilizes a variety of number conversions
Answer:
B
Step-by-step explanation:
The metric system uses one unit for each category of measurement.