Answer:
The answer is x=29
Step-by-step explanation:
-6 = x – 35
=-6+35=x-35+35
x=29
Answer:
41
Step-by-step explanation:
35- -6= 41
41-35=6
35-41=6
Find the modulus of the complex number 6-2i
Answer:
The modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
Step-by-step explanation:
Given the number
[tex]6-2i[/tex]
We know that
[tex]z = x + iy[/tex]
where x and y are real and [tex]\sqrt{-1}=i[/tex]
The modulus or absolute value of z is:
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
Therefore, the modulus of [tex]6-2i[/tex] will be:
[tex]z=6-2i[/tex]
[tex]z=6+(-2)i[/tex]
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]
[tex]=\sqrt{6^2+2^2}[/tex]
[tex]=\sqrt{36+4}[/tex]
[tex]=\sqrt{40}[/tex]
[tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{10}[/tex]
Therefore, the modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
Mary is writing invitations for her birthday party. She plans to invite 16 friends. So far, Mary has written 12 invitations. Which of the following show the amount of invitations Mary has written? Select two that apply.
25/100
25%
75/100
75%
WILL RECIEVE A LOT IF YOU HELP ME
Answer:
The answer is 75% and 75/100
Please help me I don’t understand $!!!!!
9514 1404 393
Answer:
a) f: all real numbers except 1 and 2; g: all real numbers except 2
b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote
c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2
d) f(x) is also undefined at x=1
Step-by-step explanation:
a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.
The zeros of the denominator of f(x) can be found by factoring it.
x^2 -3x +2 = (x -1)(x -2)
These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).
domain of f(x): all real numbers except x=1 and x=2
Then, by inspection, the domain of g is similar, but a little different:
domain of g(x): all real numbers except x=2
__
b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.
[tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]
There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*
__
c) The difference between the two functions is that f(x) is undefined at x=1.
x = -2, -1, 0, 1, 2, 3, 4
f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2
__
d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.
_____
* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.
Plz I need help, I’m confused and lost :(
An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter(L) of ice cream How much total ice cream is in the cartons?
Answer:
960 cartons
Step-by-step explanation:
Ice cream shop invented 25 new flavors of the ice cream out of which 13 flavors were discarded by the ice cream shop as they were least popular.
So flavors left = 25 - 13 = 12
The shop made 80 cartons each of 12 flavors so total number of cartons = 12×80 = 960 cartons
Therefore answer will be 960 cartons of remaining flavors
plz mark brainly
on a baseball diamond, Tom, Jerry,and Mark are each standing at different corners. The distance be tween tom and Jerry is 30 feet. If we assume that the angle at Jerry is a right angle,what is the distance from tom to mark
9514 1404 393
Answer:
30√2 feet ≈ 42.4 feet
Step-by-step explanation:
If the right angle is at Jerry, then Jerry is at a base location between Tom and Mark. That is, Tom and Mark are at opposite corners of the diamond. The distance from Tom to Jerry is the length of one side of the square. Its diagonal is √2 times the side length, so ...
the distance from Tom to Mark is 30√2 feet ≈ 42.4 feet
PLEASE HELP ME I HAVE A SICKNESS CALLED IM DUMB AND I REALLY NEED HELP WITH THESE QUETIONS. IF YOU CAN ANSWER THEM ALL ILL GIVE BRAINLIEST AND 50 POINTS AND PLSS DONT DO IT FOR THE POINTS.PLSSS
Step-by-step explanation:
the answer in the image
CAN U GUYS HELP ME WITH THIS?!!! I WILL GIVE BRAINLY AND 15 POINTS!!??? THANKSKSKS!
Answer:
3n - 7 = 2n + 5
Step-by-step explanation:
n=12
that is the answer
Solve
4x - 9 = 6 - x
Answer:
x = 3
Step-by-step explanation:
The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.
Given Equation:
4x - 9 = 6 - x
Add both side x of the equation
4x - 9 +x = 6 - x + x
5x = 6
Now, divide both side by 6 gives
5x/ 5 = 6/5
x = 1.2
Thus, the value of x is 1.2.
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what is the proportional realashionship
Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."
Step-by-step explanation: I got this from a website. Hope it works!!!
x2 + 20x +__________
Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is o.75 meters long for each bow. How many meters of ribbon does Nicole need to make for the bows? Explain how to find the answer.
Answer:
750 meters
Step-by-step explanation:
In order to calculate the total amount of ribbon that she needs, we need to multiply the amount of ribbon that each bow needs by the total number of bows that need to be made. Since we are given both of these values we simply multiply and solve for x which is the total amount of ribbon that Nicole needs.
1000 * 0.75 = 750 meters
Therefore, Nicole needs a total of 750 meters to make all of the needed bows.
I will send u the pic
Answer:
a pic of ur math?
Step-by-step explanation:
In isosceles triangle ABC, AB=AC.If B=55, calculate A
Answer: ∠A = 70°
because ABC is an isosceles triangle and AB = AC
=> ∠B = ∠C = 55°
=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°
Step-by-step explanation:
sorry i can't help :(
Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was using required 3/4 cup of sugar and 1/8 cup of butter.
1. Travis accidentally put a whole cup of butter in the mix.
A. What is the ratio of sugar to butter in the original recipe? What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?
B. If Travis wants to keep the ratios the same as they are in the original recipe, how will the amounts of all the other ingredients for this new mixture compare to the amounts for a single batch of muffins?
C. The original recipe called for 3/8 cup of blueberries. What is the ratio of blueberries to butter in the recipe? How many cups of blueberries are needed in the new enlarged mixture?
Answer:
A. (3/4) : (1/8)
Travis must add 6 cups of sugar to maintain the ratio.
B. Travis must multiply the ratio of all other ingredients by 8.
C. (3/8) : (1/8)
Travis must add 3 cups of blueberries to maintain the ratio.
Step-by-step explanation:
A.
3/4 * 8
24/4
6 cups of sugar to maintain the same ratio.
B. 1/8 turned into 1 so that means it was multiplied by 8
C. 3/8 are blueberries and 1/8 is butter
(3/8) * 8
3
This took a long time to do... reward?
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 247x + 141
Answer: 15,99s
when the rocket hit the ground => y = 0
=> -16x² + 247x + 141 = 0 (*)
a = - 16 b = 247 c = 141
Δ = b² - 4ac = 247² + 16.4.141 = 70033 > 0 => (*) has 2 solutions
=> x = [tex]\frac{247-\sqrt{70033} }{32}=-0,55(removed)[/tex]
or x = [tex]\frac{247+\sqrt{70033} }{32}=15,99(s)[/tex]
Step-by-step explanation:
which fraction is larger 1/4 or 2/5 find the common denominator
Answer:
2/5 and 20
Step-by-step explanation:
1/4 = 5/20
2/5 = 8/20
LCD = 20
Mrs. Reed spent $34 to buy M&Ms and paper clips for her students. She bought a total
of 10 items. If the M&M bags were $3 each and the paper clips were $4 for each box,
how many of each did she buy?
Answer:
Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.
Explanation:
4 x 4 = 16
3 x 6 = 18
16 + 18 = 34
Answer:
Step-by-step explanation:
In a survey of 3400 people who owned a certain type of car 2210 people said they would buy the type of car again what percent of the people surveyed were satisfied with the car? Plz help me! :)
sammi used his past health history and information by his doctor visits to create this table to compare health cost with and without insurance what is the expected value of each option
Answer:
W/O insurance: 235.50
with insurance: 1597.94
Step-by-step explanation:
Weighted Average:
annual premium 1 $1,580.00 $0
single doctor visit 0.3 $7.50 $105
two doctor visits 0.18 $9.00 $126
medication 0.06 $1.44 $5
$1,597.94 $235.50
Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh pounds total. If there are containers, how much does each container weigh? Leave your answer in the form a^b.
Answer:
Each container weigh 10^3pounds
Step-by-step explanation:
The question lacks the necessary values. Let's restructure the question and include values.
Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh 100,000 pounds total. If there are 100 containers, how much does each container weigh? Leave your answer in the form a^b.
From the question, we are given the following;
Weight of containers full of skeleton = 100000 pounds
Number of containers = 100
Required
Weight of each container
Let's say:
100containers = 100000pounds
1 container = xpound
Cross multiply
100×x = 100,000
Divide both sides by 100
100x/100 = 100,000/100
x = 10,000/100
x = 10^5/10^2
Using the law of indices
x = 10^{5-2}
x = 10^3
Hence the answer in form of a^b is 10^3 pounds.
Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5900 home
delivery subscribers. The number of subscribers increases by 66 every month. Write an equation that expresses the
number of subscribers B in terms of n, the number of months the paper has been printed.
B = 5900n + 66
c. B = 66n + 5900
b. B = 198n + 5900
d. B = 66n + 3
Answer:
c
Step-by-step explanation:
Answer:c
Step-by-step explanation:
A circular Park of radius 30m has a track of width 2.5m on its innet side.find the area of the track.
This is a pretty mathematical question, so I will answer it in pieces as I get the time to work it out. To find the time it takes to fall, you start with Newton's second law, ma=m[d2r/dt2]=-GMm/r2=dv/dt and integrate it once to get v=dr/dt=√[2GM(R-r)/(Rr)] where, for your question, R is the distance from the center of the earth to the point from which it was dropped, r is where it is at the time t(r), G is the universal gravitation constant, and M is the mass of the earth. (The mass m of the ship does not matter.) (You can more easily get v(r) from energy conservation.) Next integrate v(r)=dr/dt to get t(r)=-2.69x105{0.5tan-1((2x-1)/(2√[x(1-x)]-√[x(1-x)]-π/4} where x=r/R; this is not a simple integral to perform, but you can find good integrators on the web, for example Wolfram Alpha. Once you have gotten the indefinite integral you are not finished, you need to find the integration constant which will put the ship at rest at x=r/R=1; that is where the π/4 comes from. Putting in your numbers, I find t=4.22x105 s=117 hr=4.89 days. The figure shows the graph of t(x).
Step-by-step explanation:
mark upper one as brainliest
A $136,000.00 home with 30yr mortgage with 1.1% fixed rate. 20% down down payment. How much is the down payment, the monthly payments, interest rate and the loan?
Answer:
down payment = home value x 20% = $136,000 x 20% = $27,200
loan = home value - down payment = $136,000 - $27,200 = $108,800
interest rate = 1.1% fixed (given) ≈ 0.09167% per month
duration of loan = 30 years or 360 months
monthly payment = present value of loan / PV annuity factor
PV annuity factor, 360 periods, 0.09167% = 306.5134 (I used an online annuity calculator)
monthly payment = $108,800 / 306.5134 = $354.96
50 points and Brainliest answer question above
Answer:
12
Step-by-step explanation:
the answer is 12
Answer: 12sq. units
Step-by-step explanation: Because if you take it and say it has 2 for the side and down below it has 6 you times that and you get 12.
Can you mark me brainlest???!!! Please!!!!!
Solve the system of equations -2x – 4y = –26 and -3x – 3y = -12 by
combining the equations.
2x – 4y -26)
3x – 3y =-12)
- 2x
3x
- 4y
-Зу
= -26
12
try
0
+
0
y
Step-by-step explanation:
First u group them for example
-2x-3x-4y-3y
5+7=12
A football team loses an average of 3 yards per play. How many yards
have they lost after 4 plays? Write a number sentence to show your
answer.
The expression would be:
3x
x=number of plays
Insert 4:
3(4)
=12
They would 12 yards after 4 plays if losing 3 yards every play.
The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of yards the football team loses after 4 plays be A
Now , the equation will be
Let the amount of yards the football team loses per play = 3 yards
So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play
Substituting the values in the equation , we get
The amount of yards the football team loses after 4 plays A = 3 x 4
On simplifying the equation , we get
The amount of yards the football team loses after 4 plays A = 12 yards
Hence , the amount of yards is 12 yards
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PLEASE HELP ME ITS VERY URGENT AND I DON'T UNDERSTAND HOW TO DO THIS!!!
Answer:
B and D also intersect at C
Step-by-step explanation: Instructions are unclear but it think that you are supposed to say the other pair that meets in a strait line
Answer:
Step-by-step explanation:
AC² = 25 + 9 - 15 cos120° = 34 - 15(- 0.5) = 41.5 ⇒ AC = √41.5 ≈ 6.442 cm ≠ EC
ΔABC doesn't congruent to ΔEDC
Find the slope, please.!!!!!!!!!!!!!!!!!
Answer:
I think it's one.
Step-by-step explanation:
I took this two year ago.
Answer:
the slope is 1
Step-by-step explanation:
up one over one aka 1/1 = 1
Will give brainlist if correct.
Answer: [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
1. Original Equation: [tex]4^4(4^-^7)(4)[/tex]
2.Simplify: [tex]4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\[/tex]
3.Apply exponent rule: [tex]4^4^-^7^+^1[/tex]
4. Simplify: [tex]4^-^2\\[/tex]
5.Apply exponent rule: [tex]\frac{1}{4^2}[/tex]
6.Simplify: [tex]\frac{1}{16}[/tex]