Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
Given parameters:
Points = (1,1) and (5,-5)
Unknown:
Slope = ?
Solution:
The slope of the a line is the ratio of the rise of a line to its run.
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
x1 = 1
y1 = 1
x2 = 5
y2 = -5
Insert the parameters and solve;
Slope = [tex]\frac{-5 - 1}{5-1}[/tex] = [tex]\frac{-6}{4}[/tex] = [tex]-\frac{3}{2}[/tex]
z=−24i−19
Re(z)=
Im(z)=
9514 1404 393
Answer:
Re(z) = -19Im(z) = -24Step-by-step explanation:
There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.
Re(z) = -19 . . . . the part that does not have a factor of i
Im(z) = -24 . . . . the coefficient of i
Which ordered pair is a solution to the inequality 7x-3y>10?
it ain't possible.
unless Either X's value is given for u to get y.
All pairs such that x is > 4 and y = 6 are solutions.
It is given that ordered pair is a solution to the inequality 7x-3y>10.
What is inequality?
The definition of inequality is a difference in size, amount, quality, social position or other factor.
Now, characterize these solutions
if 7x - 3y > 10 then
7x > 10 +3y
Now we can substitute any value for y and get the appropriate value for x. For example I can choose y to be 6
then by substitution
7 must be > 10+ 3*6
or 7x must be > 28
or x must be > 4
So, all pairs such that x is > 4 and y = 6 are solutions.
Learn more details about inequality here:
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Out of 482 employees at the Coca Cola plant 37 are taking a vacation next week what percentage of employees are not vacationing
Answer:
92.3% are not vacationing
Step-by-step explanation:
482 - 37 = 445
445 * 100 / 482 = 92.3
I need help pls help
Answer:
v = 80 cubic units
Step-by-step explanation:
The formula for a rectangular prism is: v = lwh
l = length
w = width
h = height
v = 8 x 2 x 5
v = 16 x 5
v = 80
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Can sum kne s help I need it
Step-by-step explanation:
-17z - 12 + 15z = -12 - 2z
-2z - 12 = -2z - 12
-12 = -12
Since this statement is always true for all real values of z, there are infinitely many solutions.
Hamburger costs $1.49 for 1/2 pound. How much would the hamburger cost for a whole pound?
Answer:$2.98
Step-by-step explanation:
- 1 13 and its opposite on a number line.
Answer:
-113 and 113
Step-by-step explanation:
I'm not sure exactly what you mean by -1 13, so I'll assume you mean -113.
It's opposite would be 113.
If what you mean is -1 1/3 then it would be -4/3
Hope I helped
Cameron has 75% as many shirts as her brother how many shirts does your brother have if Cameron has nine shirts
What is 1/5 ÷ 1/2 ? Explain or show your reasoning.
Answer:
The answer is 2/5.
Step-by-step explanation:
First, use the stay-switch-flip method. Keep 1/5 the same, switch the division sign into a multiplication sign, and flip the numerator and the denominator of 1/2 to get 1/5 x 2/1. Multiply the numerators. 1 x 2 = 2. Now, multiply the denominators. 5 x 1 = 5. Therefore, you're answer is 2/5.
Hope this helps! Please mark Brainliest.
Henrik grew 3 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes. Henrik already had 173 potatoes harvested from his other field. How many potatoes does Henrik have in all?
Answer: Henrik grew 147 more potatoes than Derek
Step-by-step explanation:
what is value of X on this triangle
Answer:
x = 11.4715
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 35°
Opposite Leg = x
Hypotenuse = 20
Step 2: Solve for x
Substitute [Sine]: sin35° = x/20Isolate x: 20sin35° = xRewrite: x = 20sin35°Evaluate: x = 11.4715Question 1
Write a conjecture that describes the pattern in the sequence, and then use the conjecture to find the next term in the sequence.
2,8, 32, 128,...
100 words remaining
Answer:
T5 = 512
Step-by-step explanation:
Given the sequence
2,8, 32, 128,...
The sequence is a geometric progression
nth term of a geometric progression is expressed as:
Tn = ar^n-1
a is the first term = 2
n is the number of terms = 5 (next term is the 5th term)
r is the common ratio = 8/2 = 32/8 = 4
Substitute and get the fifth term
T5 = 2(4)^5-1
T5 = 2(4)^4
T5 = 2*256
T5 = 512
Hence the next term is 512
At the school carnival, the sixth graders are making directional arrows, as shown below.
6 inches
10 inches
7 inches
4 inches
Each arrow is to be painted red. How much area needs to be painted for 1 arrow? (1 point)
you get paid $8 an hour. you make $35 in tips. you make $167.00 in a week. how many hours did you work. write an equation to the problem.
Answer:
I belive the equation would be...
Step-by-step explanation:
8x+$35=$167.00
Hope it helps??
Answer
they worked 16.5 hours that week.
Step-by-step explanation:
You first subtract the tip by the total cost and that gives you $132.00. and from that cost you divide by $8 which they get paid by the hour... and then you get the 16.5 and that means they worked 16.5 hours that week.
x+2y=13
3x-5y=6
what is (x,y)?
Answer:
x+2y=13
Step 1: Add -2y to both sides.
x+2y+−2y=13+−2y
x=−2y+13
Answer:
x=−2y+13
Step 1: Add 5y to both sides.
3x−5y+5y=6+5y
3x=5y+6
Step 2: Divide both sides by 3.
3x
3
=
5y+6
3
x=
5
3
y+2
Answer:
x=
5
3
y+2
Step 1: Add -3x to both sides.
3x−5y+−3x=6+−3x
−5y=−3x+6
Step 2: Divide both sides by -5.
−5y
−5
=
−3x+6
−5
y=
3
5
x+
−6
5
Answer:
y=
3
5
x+
−6
5
Step-by-step explanation:
Answer:
(7, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x + 2y = 13
3x - 5y = 6
Step 2: Rewrite Systems
x + 2y = 13
Subtract 2y on both sides: x = 13 - 2yStep 3: Redefine Systems
x = 13 - 2y
3x - 5y = 6
Step 4: Solve for y
Substitution
Substitute in x: 3(13 - 2y) - 5y = 6Distribute 3: 39 - 6y - 5y = 6Combine like terms: 39 - 11y = 6Isolate y term: -11y = -33Isolate y: y = 3Step 5: Solve for x
Define equation: x + 2y = 13Substitute in y: x + 2(3) = 13Multiply: x + 6 = 13Isolate x: x = 7Find the length of the segment with endpoints A(4,12) and B(7,16) ?
WILL MARK BRAINLIEST! please help! Find the measure of the indicated angle to the nearest degree.
Answer:
14
Step-by-step explanation:
Ms Patel purchased some pliers, wrenches, and chisel sets for her shop. She bought twice as many pliers that cost $17.50 each as wrenches that cost $21.50 each. She bought 3 fewer chisel sets than pliers. How many of each tool did Ms Patel buy if she paid a total of $141 and the price of each chisel set is $28?
Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.
Step-by-step explanation:First, make a ratio. For every 2 wrenches, she bought 4 pliers and 1 chisel set. This ratio would be written as (in pliers:wrenches:chisels)4:2:1
Then, multiply each of these numbers by their price, and add them together.PLIERS: 4 × 17.50 = $70
WRENCHES: 2 × 21.50 = $43
CHISEL SETS: 1 x 28 = $28
TOTAL = $70 + $43 + $28 = $141
As this adds up to $141, this shows that she bought 4 pliers, 2 wrenches and 1 chisel set.Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.
I hoped this helped!
25/8 in decimal form
Answer:
3.125
Step-by-step explanation:
Answer:
25/8 in a decimal form is
Step-by-step explanation:
3.125
Determine the equation of the line that passes through the given points (if you have a graphing calculator, you can us the table feature to confirm that the coordinates of both points satisfy your equation)
(-5, 10) and (5, -10)
a. y = 2x -10
b. y = 2x
c. y = -2× + 20
d. y = -2×
Answer:
d. y = -2×
Step-by-step explanation:
First to solve find the slope using the formula, [tex]\frac{10+10}{-5-5}[/tex]. The slope equals 20/-10 or -2. Then plug the slope and point, (-5,10), into slope-point form. y-10=-2(x+5), then solve for y. This gives you y=-2x+0 or y=-2x.
Which expression is equivalent to (1/2(cos(pi/5)+ i sin(pi/5)))^5
a. 1/32(cos(pi/5) + i sin (pi/5))
b. 1/32(cos(pi) + i sin (pi))
C. 1/10(cos(pi/5) + i sin (pi/5))
d. 1/10(cos(pi) + i sin (pi))
Answer:
B
Step-by-step explanation:
did the course
The equivalent complex expression of [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex] is
[tex]\frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
The correct answer is an option (b)
What is complex number?"The number of the form a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is De Moivre's theorem?"This theorem gives a formula for computing powers of complex numbers.
[tex](r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))[/tex] "
For given question,
We have been given a complex expression [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex]
Using the DeMoivre's theorem,
[tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=(\frac{1}{2})^5~((cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=\frac{1}{32} (cos(\frac{5\pi}{5} )+i~sin(\frac{5\pi}{5} )) )\\\\= \frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
Therefore, the equivalent complex expression of [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex] is
[tex]\frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
The correct answer is an option (b)
Learn more about the De Moivre's theorem here:
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On the average, a grocer sells three of a certain article per week. How many of these should he have in stock so that the chance of his running out within a week is less than 0.01
Answer:
7
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(x;μ) = (e^(-μ)) × (μ^(x))/x!
We are told that the grocer sells three of a certain article per week. Thus;
μ = 3
Now, we want to find out How many of these should he have in stock so that the chance of his running out within a week is less than 0.01.
This means;
P(X > k) < 0.01
This can be rewritten as;
P(X ≤ k) < 0.99
Let's try x = 8
P(8;3) = (e^(-3)) × (3^(8))/8!
P(8;3) = 0.008
But; P(X ≤ 8) = 1 - 0.008 = 0.992
This is more than 0.99 and thus is not the answer
Let's try x = 7
P(7;3) = (e^(-3)) × (3^(7))/7!
P(7;3) = 0.022
But; P(X ≤ 7) = 1 - 0.022 = 0.978
Thus is less than 0.99.
Thus, stock should be 7
The temperature at the point (x, y, z) in space is given by T ( x, y, z) = x + yz. A fly is at the point (1, 2, 1). In what direction should he begin to fly to cool off as quickly as possible. Your answer should be a unit vector in the requested direction.
Answer:
[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Temperature is given [tex]T ( x, y, z) = x + yz.[/tex]\
A fly is at (1,2,1)
Generally the direction of fly is given by
[tex]\triangleT(x,y,z) =(1,z,y)\\[/tex]
[tex]v= \triangleT(1,2,1)\\v=(1,1,2)[/tex]
Mathematically solving for the vector direction
[tex]|v|=\sqrt{1^2+1^2+2^2}[/tex]
[tex]|v|=\sqrt{6}[/tex]
[tex]u=- \frac{v}{|v|}[/tex]
[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]
Therefore this the direction which should be taken to cool down soonest
Giving 15 point please help
Answer:
8. x=-5 and y=7
9. x=-2 and y=0
10. x=-6 and y=-10
11. x=8 and y=-4
12. x=9 and y=-9
13.x=4 and y=10
14. x=5 and y=-7
Step-by-step explanation:
Find the domain of the function f(t)=√t +3√t
Answer:
[tex]\mathrm{Domain\:of\:}\:4\sqrt{t}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:t\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
The graph is also attached below.
Step-by-step explanation:
Given the expression
[tex]f\left(t\right)=\sqrt{t}\:+3\sqrt{t}[/tex]
We know that the domain of a function is the set of inputs or argument values for which the function is real and defined.
We know that we can not have a negative value of 't' inside the radicals because if we put any negative number inside the radical expression, it would make the function undefined.
In other words, the value of t ≥ 0.
Therefore, the function domain is:
[tex]\mathrm{Domain\:of\:}\:4\sqrt{t}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:t\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
The graph is also attached below.
HELP PLEASE PLEASE PLEASE!!!! WILL GIVE BRAINLIEST
9514 1404 393
Answer:
y ≈ 12.3
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationship between trig functions and side of a right triangle. In particular, when the adjacent side and hypotenuse are involved, the desired relation is ...
Cos = Adjacent/Hypotenuse
cos(35°) = y/15
y = 15·cos(35°)
y ≈ 12.3
YALL PLZ HELP WILL GIVE THANKS+BRANLIEST AND I REALLY NEED HELP! the length of the box is 2 1/2m, it is 1 9/16 times its width. what is the height of the box if its volume is 12 3/4m3?
Answer:
3.19 m
Step-by-step explanation:
L = 2.5
W x 25/16 = 2.5
w = 2.5 x 16 / 25 = 1.6
LWH = V
H = V / LW = (12 3/4) / (2.5 x 1.6) = 3.19
Find another way to name the plane M shown in the figure
Answer:
Plane RTS
Step-by-step explanation:
Answer: Choice D) Plane PQY
==========================================================
Explanation:
By definition, a plane is formed by 3 non-collinear points. The three points cannot all be on the same line. If you had 3 points on the same line, then infinitely many planes are possible. Imagine the plane spins around the line as a sort of fan blade.
Choice A can be ruled out because points R, T, and S are all on the same line. They are collinear points. Using these three points is not enough to properly identity/label this plane, since infinitely many other planes could result.
Choices B and C can also be ruled out for similar reasons.
Choice D is correct because points P, Q, and Y are all in plane M, and also because they are not all on the same line.
Side note: another way to phrase "a plane is formed by 3 non-collinear points" is to say "a plane is formed by 3 points that form a triangle".
If f(x) = -8x + 2, then i
8x + 2. then '(x) =
What is this one
Answer:
as for the other stuff you need to update my 45=44
PLEASE HELP DUE IN 5 MIN