Answer:
y = [tex]\frac{2}{3} x + 9[/tex]
Step-by-step explanation:
I. If y = mx + b
when y is output, x is input , m is slope and b is addition
so y - 2x = 9
y = 9 + 2x
y = 2x + 9
Replace 2 with [tex]\frac{2}{3}[/tex]
y = [tex]\frac{2}{3} x[/tex] + 9
Answer:
a is 3
Step-by-step explanation:
[tex]ay - 2x = 9 \\ ay = 2x + 9 \\ y = \frac{2}{a} x + \frac{9}{a} [/tex]
General equation:
[tex]{ \bf{y = mx + c}}[/tex]
m is slope; m = ⅔
by comparison:
[tex] \frac{2}{3} = \frac{2}{a} \\ \\ 2a = 6 \\ a = 3[/tex]
which choice is equivalent to the expression below? √40 + 2√10 + √90
Answer:
2√10 + 2√10 + 3√10 =7√10
Step-by-step explanation:
√40=√10×4 =√10×√4 = 2√10
√90= √10×9 = √10×√9 =3√10
Add or Subtract: show all written work 30 POINTS!!
Answer:
I hope it helped U
stay safe stay happy
Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1 /(x2 + 3x − 4)
Step-by-step explanation:
The domain of a function is the range of x such that the function is defined.
Now we know the function
[tex]f(x) = \frac{1}{ {x}^{2} + 3x - 4 }[/tex]
is only defined when the denominator is not zero, in other words, when
[tex] {x}^{2} +3x - 4 \neq \: 0[/tex]
or
[tex](x + 4)(x - 1) \neq0[/tex]
[tex]x \ne-4 [/tex]
and
[tex]x \neq +1[/tex]
a farmer enough to last his 40 cattle for 35 days'if he bays more cattle how long can the same food last?consider the cattle finish the feed at the same rate
Answer:
this is unclear
Step-by-step explanation:
yoy miss typed
Manuela bought 11/12 yard of polka dot fabric and 7/9 yard of flowered fabric which fabric did she buy more of
Answer:
She bought more polka dot fabric
Step-by-step explanation:
you can cross multiply so 9x11=99 and 12x7=84. Since 99>84, 11/12>7/9
Compare with >, < 12.6 and 12.3
Answer:
12.6>12.3
Step-by-step explanation:
38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
C plane, is traversed in the positive sense.
please i need real time help
It looks like the integral is
[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy[/tex]
where C is the circle of radius 2 centered at the origin.
You can compute the line integral directly by parameterizing C. Let x = 2 cos(t ) and y = 2 sin(t ), with 0 ≤ t ≤ 2π. Then
[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \int_0^{2\pi} \left((3x(t)+4y(t))\dfrac{\mathrm dx}{\mathrm dt} + (2x(t)-3y(t))\frac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^{2\pi} \big((6\cos(t)+8\sin(t))(-2\sin(t)) + (4\cos(t)-6\sin(t))(2\cos(t))\big)\,\mathrm dt \\\\ = \int_0^{2\pi} (12\cos^2(t)-12\sin^2(t)-24\cos(t)\sin(t)-4)\,\mathrm dt \\\\ = 4 \int_0^{2\pi} (3\cos(2t)-3\sin(2t)-1)\,\mathrm dt = \boxed{-8\pi}[/tex]
Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on C nor in the region bounded by C, so
[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \iint_D\frac{\partial(2x-3y)}{\partial x}-\frac{\partial(3x+4y)}{\partial y}\,\mathrm dx\,\mathrm dy = -2\iint_D\mathrm dx\,\mathrm dy[/tex]
where D is the interior of C, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: [tex]-2\times \pi\times2^2 = -8\pi[/tex].
one leg of a right triangle is 42 inches longer than the other leg, and the hypotenuse is 78 inches. find the lengths of the legs of the triangle
Answer:
use phythagoras formula of calculating right angles
a^2=b^2+c^2
42^2=b^2+78^2 (substitution + transposement)
b^2=72^2-42^2
b^2=3420 (introduce a square root both sides)
what you do on the left .you also do it on the right
b is the unknown side of the triangle
b=58.48 inched
The lengths of the legs of the right angle triangle is 30 inches and 72 inches.
What is a triangle?A triangle is a closed plane figure formed by joining three noncolinear points.
We know Pythagoras's theorem which states the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given one leg of a right-angle triangle is 42 inches longer than the other leg.
Assuming the smallest leg to be x inches.
∴ The other leg is (x + 42) inches also given hypotenuse is 78 inches.
∴ (x + 42)² + x² = 78².
x² + 84x + 1764 + x² = 6084.
2x² + 84x - 4320 = 0.
x² + 42x - 2160 = 0.
As length can not be negative value of x = 30 inches.
∴ The smaller leg is 30 inches and the larger leg is (30 + 42) = 72 inches.
learn more about triangles here :
https://brainly.com/question/2773823
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I need to know the distance between points x and y
Answer:
Step-by-step explanation:
Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.
If Y=x-5 and 20y -5y=15 what is the value of X?
Answer:
X=6
Step-by-step explanation:
20 × 1 or y = 20
5 × 1 or y = 5
20 - 5 = 15
1 or y + 5 = 6
I need help ASAP whit this question
Answer:
B. 7
Step-by-step explanation:
The original box must be 1 by 1 by 1.
So then the new box would be 2 by 2 by 2.
2×2×2=8
8-1=7
I hope this helps!
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The trolley rolled at a rate of 10 feet per second how far does it go in a minute
9514 1404 393
Answer:
600 feet
Step-by-step explanation:
There are 60 seconds in a minute, so the trolley travels 60 times as far as it does in one second.
(60 seconds/minute) × (10 feet/second) = 600 feet/minute
The trolley goes 600 feet in a minute.
-4x + 3x = 2
What is x
Let me know the answer fast
Step-by-step explanation:
[tex]a) \\ thank \: you[/tex]
Convert 15° to seconds.
(Remember, 1 degree = 60 minutes, 1 minute = 60 seconds)
Answer:
15 degree = 54,000 seconds
Step-by-step explanation:
15*60*60
What is the midpoint of the segment that joins the points (-12, 12) and (-6, -1)?
Answer:
[tex]\boxed {\boxed {\sf ( -9, \frac{11}{2}) }}[/tex]
Step-by-step explanation:
We are asked to find the midpoint of a segment. We essentially calculate the average of the x-coordinates and the y-coordinates using the following formula.
[tex]( \frac {x_1+x_2}{2}, \frac{ y_1 + y_2}{2})[/tex]
In this formula, (x₁ , y₁) and (x₂ , y₂) are the endpoints of the segment. For this problem, the 2 endpoints are (-12, 12) and (-6, -1). If we match the variable and the corresponding value, we see that:
x₁= -12 y₁= 12 x₂ = -6 y₂ = -1Substitute the values into the formula.
[tex]( \frac{-12 + -6}{2}, \frac{12 + -1} {2} )[/tex]
Solve the numerators.
-12 + -6 = -12 -6 = -18 12 + -1 = 12-1 = 11[tex]( \frac{-18}{2}, \frac{11}{2})[/tex]
Divide.
[tex]( -9, \frac{11}{2} )[/tex]
The midpoint of the segment is [tex]\bold {( -9, \frac{11}{2} )}[/tex].
Suppose you write each letter of the alphabet on a different slip of paper and put the slips into a hat. What is the probability of drawing one slip of paper from the hat at random and getting a vowel?
Answer:
5/26 chance because there is only five vowels in the alphabet
Answer:
Not counting y as a vowel: 5/26 or a 19.23% chance
Step-by-step explanation:
There are a total of 26 letters in the alphabet.
There are 5 vowels (a, e, i, o, u)
Picking a vowel has a 5 in 26 chance of occurring.
A music store sold 103 CDs and 102 CD players. If each CD costs $12
and each CD player costs $35, what was the store's total earnings?
$15,500
© $36,200
$24,500
0 $47.000
Answer:
$15,500
Step-by-step explanation:
It would help if you put the actual question in place
10³ CDs = 1000 at $12 each = $12000
+ 10² Players = 100 at $35 each = $ 3500
Total $15500
103(12) + 102(35) = $4806
Sam opened a restaurant. On the first day he had 100 customers. On the fourth day he had 160 customers. If the number of customers per day grew linearly, what was the number of customers on the second day?
Answer:
120 customers on the 2nd day
Step-by-step explanation:
100/1ST DAY
120/2nd day
140/3rd day
160/ 4TH DAY
The sum of ∠1,∠2 and ∠3 is _____________ sum of ∠3,∠4 and ∠5
Greater than
Lesser than
Equal to
Twice the
Answer:
twice the
Step-by-step explanation:
hope it helps you
Mrs. Harris treated her 1st period with donuts for averaging the highest on the midterm exam. She bought 25 donuts, By the end of the period, there were 3 donuts remaining. What is the percent decrease?
Answer:
join me on no comments yet the story is about to the turf and a bagane and pinni geting step by step explanation friendship is not working properly and the story of a y I have a mantra and sister about your self and the story of the story is a bagane unda and the story and the portion of the story of the story of the story is about the event of a y you know if
Combine like terms and write the simplified
Answer:
4x-3 16t-4
Step-by-step explanation:
Answer:
1. 8x-4x=4x
5-2=3
so the answer will be
4x+3
2.9t-7t+12-8=2t+4.
3.i have no idea
4. 18x^2+12x^2+16x-11x-17+19=30x^2+5x-36.
plsss asap right nooooow
Answer:
[tex]\sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})[/tex]
[tex]\sf 2(3\sqrt{8})+2(4\sqrt{20}+2\sqrt{24})[/tex]
[tex]\sf 12 \sqrt{2}+16 \sqrt{5}+8 \sqrt{6}[/tex]
[tex]\sf 6 \cdot 8^{\frac{1}{2}}+8 \cdot 20^{\frac{1}{2}}+4 \cdot 24^{\frac{1}{2}}[/tex]
[tex]\sf 12 \cdot 2^{\frac{1}{2}}+16 \cdot 5^{\frac{1}{2}}+8 \cdot 6^{\frac{1}{2}}[/tex]
Step-by-step explanation:
Perimeter of a rectangle
Perimeter = 2(width + length)
Given information:
[tex]\textsf{width} = 3\sqrt{8}[/tex]
[tex]\textsf{length} = 4\sqrt{20}+2\sqrt{24}[/tex]
Equivalent Expression 1
Substitute the given information into the formula:
[tex]\sf Perimeter = 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})[/tex]
Equivalent Expression 2
Using the distributive property law, this can also be written as:
[tex]\sf Perimeter = 2(3\sqrt{8})+2(4\sqrt{20}+2\sqrt{24})[/tex]
Equivalent Expression 3
Distribute the parentheses and simplify the radicals:
[tex]\begin{aligned}\sf Perimeter & = \sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})\\& = \sf 6\sqrt{8}+8\sqrt{20}+4\sqrt{24}\\& = \sf 6\sqrt{4 \cdot 2}+8\sqrt{4 \cdot 5}+4\sqrt{4 \cdot 6}\\& = \sf 6\sqrt{4}\sqrt{2}+8\sqrt{4}\sqrt{5}+4\sqrt{4}\sqrt{6}\\& = \sf 6 \cdot 2 \sqrt{2}+8 \cdot 2 \sqrt{5}+4 \cdot 2 \sqrt{6}\\& = \sf 12 \sqrt{2}+16 \sqrt{5}+8 \sqrt{6}\end{aligned}[/tex]
Equivalent Expression 4
Distribute the parentheses and rewrite the square roots as [tex]\sf \sqrt{a}=a^{\frac{1}{2}}[/tex] :
[tex]\begin{aligned}\sf Perimeter & = \sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})\\& = \sf 6\sqrt{8}+8\sqrt{20}+4\sqrt{24}\\ & = \sf 6 \cdot 8^{\frac{1}{2}}+8 \cdot 20^{\frac{1}{2}}+4 \cdot 24^{\frac{1}{2}}\end{aligned}[/tex]
Equivalent Expression 5
Rewrite the square roots as [tex]\sf \sqrt{a}=a^{\frac{1}{2}}[/tex] :
[tex]\sf Perimeter=12 \cdot 2^{\frac{1}{2}}+16 \cdot 5^{\frac{1}{2}}+8 \cdot 6^{\frac{1}{2}}[/tex]
PLS HELPPPPPPPPPppppppp
When I started here, there were 500 employees. Since then, we have added 35% more employees, so we now have a total of ______ employees
Answer: 675
Step-by-step explanation:
Since the starting amount of employees is 500 we can say that 100%=500.
Adding 35% more employees means that we're adding 35% to the existing 100%, which means we need to find 135% of 500.
To solve we must multiply 135% by 500. 135% as a decimal is 1.35, so we multiply 1.35(500)=675.
Therefore, they now have a total of 675 employees.
Enter the equation of the following using line in slope-intercept form. slope = 3; y-intercept is -3
Answer:
y=3x-3
Step-by-step explanation:
slope intercept form is y=mx+b
you are given m as 3 and b as -3
so substitute
y=3x-3
1. Find the value of x in the figure.
(1 point)
40°
O 40°
O 50°
O 140°
O 180°
Answer:
the value of x = 40
I hope it's helps you
Answer:
[tex]x = 40 \\ \\ [/tex]
it's vertical angel they are equal each other ( = )
phương trình vi phân tuyến tính cấp 1: xy' - 2y = 2x^4
Answer:
.........................
Step-by-step explanation:
............................................................................
Peter pay $79.80 for returning a bicycle for 6 hours, what was the rate per hour
Answer:
$13.3 per hour
Step-by-step explanation:
for 6 hour the cost is $79.80
for 1 hour the cost is $79.80/6
$13.3 per hour
If m ABC=25 and m CBD= 35 then m ABD=
Answer:
Angle ABD = 60
Step-by-step explanation:
Angle ABD = angle ABC + angle CBD
We are given that angle ABC = 25 and angle CBD = 35
So angle ABD = 25 + 35 = 60
Answer:
60
Step-by-step explanation:
to find the length of the entire angle, you will have to add both seperated sides to find it.
<ABC = 25
<CBD = 35
25 + 35 = 60
So, <ABD = 60
Hope this helped.