Answer:
5x - 8
Step-by-step explanation:
Unable to solve completely.
Answer:
8< 5x
Step-by-step explanation:
We know that the 8 is less than 5 times a number, so we first put 8 <.
From here, we have the value 5 being multiplied by a number, that number can be any variable unless that specifically state which variable to use.
Hope this helps! :)
(Side Note: If you're talking about inequalities this should work, if not then I'm sure others will post different answers.)
In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3}
3
1
of an hour. His swimming partner, Mila, swam \frac {2}{3}
3
2
of Logan's distance in \frac {1}{4}
4
1
of an hour. 2. What is Mila's average swimming speed? Show your work.
Answer:
500
Step-by-step explanation:
(1 point)
Calculate the directional derivative of f(x, y) = cot-'(xy) in the direction of v = -4i + 5j at the point P = (0.5, 0.5).
Remember to normalize the direction vector.
DS(0.5, 0.5) =
Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.
If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives
-csc²(y) y' = 1
y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)
Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by
∇ f(a, b) • v
Compute the gradient ∇ f(x, y) :
∇ f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j
At the point P, we have
∇ f(x, y) = - 8/17 i - 8/17 j
So, the derivative of f at P along v = - 4 i + 5 j is
(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17
Can someone solve this???
Answer:
1. a)x² + y² = 29 ------------------(1)
y² - x² = 23 ----------------(2)
y² = 23 + x²
Using the value of y² in the first equation:
x² + y² = 29
x² + (23 + x²) = 29
2x² = 6
x² = 3
x = √3
Using the value of x in equation (2)
y² - x² = 23
y² - 3 = 23
y² = 26
y = √26 and x = √3
b) ( 1 - 12x) / 3 < 0 = 1-12x < 0 = x > 1 / 12
(1-x) / 2 ≤ (3-x) 3 = 3 - 3x ≤ 6 - 2x = -3 ≤ x
In these 2 equations, the value of x will be the values of x common to both the inequalities
Since the second equation starts at a much lower value than the first equation, and they are both going up, all the values for the first equation will also stand for the second equation
Hence, the value of x for the given system of equations is
x > 1/12
2.
3x² - 7x + 2 ≥ 0
3x² -6x -1x + 2 ≥ 0 (splitting the middle term)
3x(x - 2) -(x - 2) ≥ 0
(3x - 1)(x-2) ≥ 0
(3x-1) ≥ 0 or (x-2) ≥ 0
x ≥ 1/3 or x ≥ 2
Written above are the 2 solutions for the given equation
4.
We are given that Sin α = (2√3) / 3 or 2/√3
According to the pythagorean law:
sin²α + cos²α = 1
4 / 3 + cos²α = 1
cos²α = (3-4)/3
cos²α = -1/3
cos α = √(-1/3) or i / √3 since √-1 is also known as i
Cosec α = 1/ Sin α
Cosec α = 1 / (2/√3)
Cosec α = √3 / 2
Sec α = 1 / cos α
Sec α = 1 / √(-1/3)
Sec α = (√3) / (√-1)
Since (√-1) is also known as i , we can write this as:
Sec α = (√3) / i
Tan α = Sin α / Cos α
Tan α = (2√3 / 3) / (i / √3)
Tan α = (2√3 * √3) / 3 * i)
Tan α = 2 / i
Cot α = 1/Tan α
Cot α = 1 / (2 / i)
Cot α = i / 2
Jesse and Peyton were on scooters jesse traveled 15 in 6 seconds peyton travels 22 meters in 10 seconds who was moving faster? explain your reasoning
9514 1404 393
Answer:
Jesse
Step-by-step explanation:
Jesse's distance in 60 seconds would be ...
(60 s)(15 m)/(6 s) = 150 m
Peyton's distance in 60 seconds would be ...
(60 s)(22 m)/(10 s) = 132 m
Jesse travels farther in the same amount of time, so Jesse is moving faster.
__
You might find it simpler just to compute the rate of each.
Jesse: (15 m)/(6 s) = 2.5 m/s
Peyton: (22 m)/(10 s) = 2.2 m/s
Jesse's speed is higher.
Twelve decreased by twice a number equals -34. What is that number?
Answer:
12 - 2x = -34
Step-by-step explanation:
Im not entirely sure if this is correct but yeee
High Hopes^^
Barry-
Graph the line 3x + 6y =12.
Answer: Slope=− 2.000 /1.000 =−0.500
x−intercept= 1 /4 =4.00000
y−intercept= 2 /4 =2
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+6*y-(12)=0
Pull out like factors : 3x + 6y - 12 = 3 • (x + 2y - 4)
Solve : 3 = 0
A a non-zero constant never equals zero.
Solve x+2y-4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-4 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 4/2 = 2
When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000
x-intercept = 4/1 = 4.00000
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 2.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.000/2.000 = -0.500
Slope = -1.000/2.000 = -0.500
x-intercept = 4/1 = 4.00000
y-intercept = 4/2 = 2
A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
How much sales tax will be charged at Store B?
Answer:
72 on edge
Step-by-step explanation:
Answer:
94.50
Step-by-step explanation:
Solve for m.
5m+72=−2m+52
Drag and drop the answer into the box.
Answer:
m= -20/7
Step-by-step explanation:
5m+72=−2m+52
Add 2m to each side: 7m + 72 = 52
Subtract 72 from each side: 7m = -20
Divide each side by 7: -20/7
I hope this helped, please mark Brainliest, thank you!
Which lines are perpendicular to the line y – 1 = One-third(x+2)
Answer:
[tex]y-1=-3(x+2)[/tex]
Step-by-step explanation:
The equation of the given line:
[tex]y-1=\frac{1}{3}(x+2)[/tex]
This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex]. Therefore, 1/3 is the slope.
To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.
The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]
What is the coefficient of 5a^2-7
Answer: 5
Step-by-step explanation:
A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.
Applying the Pythagorean Theorem
What is the value of x?
x = ?
Answer :
hyp² = base² + perp²
by putting the values we get
10² = 8² + perp²
100 = 64 + perp²
taking 64 to left side.
100 - 64 = perp²
36 = perp²
Now taking underroot on both sides we get
[tex] \sqrt{36 \: } = \sqrt{perp { }^{2} } [/tex]
therefore
6 = perp
perp is x in the above solution.
The solution is x = 6
The value of x in the triangle is x = 6
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Triangle ABC is a right triangle
Now , the measure of sides of the triangle are
The measure of side AB = x
The measure of side BC = 8
The measure of side AC = 10
Now , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
10² = x² + 8²
Subtracting 8² on both sides of the equation , we get
x² = 10² - 8²
x² = 100 - 64
x² = 36
Taking square roots on both sides of the equation , we get
x = 6
Therefore , the value of x is 6
Hence , the measure of side AB of the triangle is x = 6
To learn more about triangle click :
https://brainly.com/question/16739377
#SPJ2
PLEASE HELP ME I NEED THE ANSWER VERY BADLY JUST PLEASE GIVE ME THE ANSWER CHOICE AND DONT GUESS!!!!!!!!!!!!!!
the equations below are representations of linear equations in two variables.
I. y=-2/3x+4
II. y-2=2/3(x-9)
III. 2x+3y=12.
Which linear equation(s) in two variables represent a line that contains the point(9,-2) and with a slope of -2/3?
A. I,II and III
B. I and II only
C. I and III only
D. II and III only
Answer:
ITS B
Step-by-step explanation:
HOPEFULLY THIS WORKS!!!
Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms
Answer:
5.91 kilograms
591,000 centigrams
Step-by-step explanation:
These two are WRONG:
59,100 kilograms
59.1 centigrams
Acell phone company charges $3.00 to make a phone call plus $0.15 for
each minute for each minute you talk. Which equation would you use to
determine the total cost, c, of a phone call that is m number of minutes
long?
C=0,15 - 300m c-3.00 -0.15m
3.00 = € + 0,19
C = 3,00 + 0.15m
Answer:
Hi there!
Your answer is:
3+.15m =c
I cannot read your answer choices, but that is your answer. I believe your answer choice that matches is the lowest one; C= 3,00 +.15m
Hope this Helps
Can someone please help, ty!!
Answer:
(-1,0)
Step-by-step explanation:
Answer:
(-1, 0)
Step-by-step explanation:
The x-axis is the horizontal line in bold. It's basically asking what points in the form (x,y) are touching said line.
So we use our eyes and determine that the line intercepts the x-axis at -1 because that vertical bold line is the y-axis and it determines that the left side of the graph is negative and the right side is positive.
Since it is an x-intercpet, when the y-value is 0 the y-term in
(x,y) is 0
and the x-term would be the -1
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
28
Step-by-step explanation:
For the area, since it is 49, each side should be equal, so the sides are 7. To get perimeter, you add all the sides together, or since all four side are equal, take 7 and multiply it by 4.
A government might try to reduce unemployment in order to:
A. Allow businesses to invest money more freely.
B. set limits on its own economic growth.
C. keep inflation from rising too quickly
D. make sure its people can find jobs
If you get it correct will give brainly
Answer:
Make sure people can find jobs
Step-by-step explanation:
Answer: D, Make sure it’s people can Find job’s.
Step-by-step explanation: it’s the Answer I just did the quiz.
What does this even mean??? I accidentally went on college
Answer:
I think what the teacher wants is for you to calculate it and then put said calcuated number on number line
Step-by-step explanation:
FOR EXAMPLE: if the DIFFERENCE is 7, put 7 on the number line
I think the greatest number
how can you express ( 16+40 ) as a multiple sum of whole numbers with no common factors.
Answer:
112
Step-by-step explanation:
56*2 and then you just find a multiple that is really close to 112 and i am in 5th grade.
Answer:
Option C.
Step-by-step explanation:
( 16 + 40 ) =
8 x 2 = 16
8 x 5 = 40
8 x ( 2 + 5 )
Find the value of x.
(9x + 1)
(11x – 23)
What is this question 23474+ 4749
Answer:
The answer to this is 23474 + 4749 = 28223
Step-by-step explanation:
Hope this helps :)
Answer:
Sum:: 28223
Step-by-step explanation:
If your referring to write it in question form::
What is the sum of 23,474 plus 4,749 ?
c(n) = -6 + 5(n-1) Find the 8th term in the sequence.
Answer:
I think it is 29
Step-by-step explanation:
-6+5((8)-1)=29
Please help me I can’t figure it out
Answer:
its C.
Step-by-step explanation:
omg that took forever to solve
Determine x:
X
2
47°
"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and found that 20% have an outstanding balance at the credit card limit. Suppose the manager randomly selects 15 customers and finds 4 that have balances at the limit. Assume that the properties of the binomial distribution apply.a.What is the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards?b.What is the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card"
Answer:
a
[tex]P(X = 4 ) = 0.1876[/tex]
b
[tex]P(X \le 4) = 0.8358[/tex]
Step-by-step explanation:
From the question we are told that
The proportion that has outstanding balance is p = 0.20
The sample size is n = 15
Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card
[tex]X \ \ ~ Bin (n , p )[/tex]
Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as
[tex]P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}[/tex]
=> [tex]P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}[/tex]
Here C stand for combination
=> [tex]P(X = 4 ) = 0.1876[/tex]
Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as
[tex]P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}][/tex]
=> [tex]P(X \le 4) = 0.8358[/tex]
Simplify the following expressions ?
-9x+9x^2+8x^2+4x
Answer:
-5x+17x^2
Step-by-step explanation:
Hope that helps good luck
9514 1404 393
Answer:
17x^2 -5x
Step-by-step explanation:
"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.
-9x+9x^2+8x^2+4x
= 9x^2 +8x^2 -9x +4x
= x^2(9+8) +x(-9+4)
= 17x^2 -5x
one third of a number is greater than one tenth of that same number by 63 what is the number
Answer:
The answer is 270.
Step-by-step explanation:
This is the answer is because:
If you let the number be x.
x divided by 3 is equal to x divided by 10 plus 63.
x/3 = x/10 +63
So...
x divided by 3 plus x divided by 10 is equal to 63
x/3 +x/10 = 63
Then if you make a commmon denominator...
10x divided 30 plus 3x divided by 30 is equal to 63
10x/30 + 3x/30 = 63
Then...
7x divided by 30 is equal to 63
7x/30 = 63
After that...
x is equal to ( 63 * 30 ) divided by 7
x = (63*30) / 7
So...
x is equal to 9*30
x = 9*30
Finally...
x is equal to 270
x = 270
Can anyone help me on this pleaseeeee
Answer:
I believe it's B.
Step-by-step explanation:
You're going 5 units right on the X-axis, and -2 units down on the Y-axis.
Which equation represents the graph shown?
Step-by-step explanation:
The graph is a linear equation starting at 0.
form y = mx + b.
starts at 0, so b = 0, so the 2nd and 3rd choices are incorrect.
change in y/change in x is the slope,
and you can see it goes up about 35 in the y direction for every 1 in the x, so the slope is 35.
so it's the first answer.
The linear equation of the graph is y = 35x. So, the option first is correct.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form y = mx + b.
The graph is a linear equation origin at 0.
Since b = 0, the 2nd and 3rd choices are incorrect.
The slope = change in y/change in x
Here, we can see that it goes up about 35 in the y-direction for every 1 unit of in the x, so the slope is 35.
so the first answer is correct which is y = 35x.
Learn about linear equations here:
brainly.com/question/11897796
Perry took a total of 12 quizzes over the course of 6 weeks. After attending 10 weeks of
school this quarter, how many quizzes will Perry have taken in total? Solve using unit rates.
Answer:
so perry takes about 2 quizzes a week ok well all we have to do is multiply 2×10=...20 so perry takes about 20 quizzes in ten weeks
