154 cm3 = 0,154 dm3 = 0,154 l = 154 ml
Right equation of the line that is perpendicular to the line Y equals negative 3X +8 and passes through the point -2, 3. Right equation in point slope form
=======================================================
Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, flop it over, and change its sign.
In this case, we take [tex]\boxed{-3}[/tex], change its sign:
[tex]\boxed{3}[/tex]
3 can also be written as
[tex]\boxed{\frac{3}{1} }[/tex]
Now the numerator & denominator switch places:
[tex]\boxed{\frac{1}{3}}[/tex]
So that's the slope of the new line.
Now, let's write the equation in point-slope form:-
[tex]\bigstar{\underline{\boxed{\pmb{y-y_1=m(x-1)}}}[/tex]
Where
y₁ is the y-coordinate of the point (in this case, y₁ = 3)
m = slope (1/3)
x₁= the x-coordinate of the point (in this case, it's -2)
Plug in the values:-
[tex]\bigstar{\boxed{\pmb{y-3=\frac{1}{3}(x-(-2)}}[/tex]
[tex]\bigstar{\boxed{\pmb{y-3=\frac{1}{3}(x+2)} }\longleftarrow\sf{Point-Slope~Formula:)}}[/tex]
===============================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
What is the coefficient for the 5th term of (2x-y)^8
Answer:
256x^8
Step-by-step explanation:
Hope this helped
Maybe mark brainiest?
In circle C with m \angle BCD= 46m∠BCD=46 and BC=3BC=3 units, find the length of arc BD. Round to the nearest hundredth.
The length of arc of the given circle, to the nearest hundreth, is: 2.41 units.
What is the Length of an Arc?Length of arc = ∅/360 × 2πr, where the radius of the circle is r, and the reference angle is ∅.
We are given the following:
Radius (r) = 3 units
Reference angle (∅) = 46°
Plug in the values into the length of arc formula:
Length of arc = 46/360 × 2π(3)
Length of arc = 2.41 units.
Therefore, the length of arc of the given circle, to the nearest hundreth, is: 2.41 units.
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What is the answer to this?
Answer:
59.319
Step-by-step explanation:
V=a3=3.93≈59.319
Determine the solution to each linear system by using the substitution method
3x+y=8
6x+2y=10
Answer:
No solution.Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
3x+y=8 and 6x+2y=10
3x+y=8x=8-y/3
Solve.
Rewrite the problem down.
6*8-y/3+2y=10
Then, solve.
16=10
Therefore, the final answer is no solution.
I hope this helps you! Let me know if my answer is wrong or not.
Find the length of side a.
A. 4
B. 2
C. 34
D. 16
Answer:
Side A is 4
Step-by-step explanation:
Answer:
A.4
Step-by-step explanation:
a = √(c² - b²)
a= √(5² -3b²)=4
: A group of 28 people bought tickets to a museum. The total cost for the tickets was $315. What was the cost of each ticket?
Answer:
he correct answer is D. 12 adult tickets, 4 child ticket
Step-by-step explanation:
Last one i promise but i need help
Answer:
a
Step-by-step explanation:
can someone please help me
Answer:
y = x - 5
Step-by-step explanation:
Line A
It has 1/2 the slope of Line BIts y-intercept is 2 x 2.5 spaces belowEquation
Line A ⇒ y = 1/2(2x) + 2(-2.5)Line A ⇒ y = x - 5BRAINLIEST For the fastest answer
Hello I need help on this math question
Answer:
Choice a 10 cm
Step-by-step explanation:
Volume of a sphere; 4/3 x 3.14(r^3)
Since we dont know the radius aka r, we can put in the different values until we get what we are looking for :)
!!!used an online calculator for this!!!
Choice a: 4188.79
Choice b: 50965.01
Choice c: 38792.39
Choice d: 5575.2
Since none of the answers are coming out as 4846.59, I would go with the closest one, choice a.
I really hope this helps!!
Please rate!!
Have a wonderful day!!
The graph of g(x) is shown. Determine the transformations from the parent function f(x)=x2 to the new function g(x)=15x2+5
Answer:
The graph of g is translated down 5 units from the graph of f and stretched horizontally
Step-by-step explanation:
was correct on test :)
pls brainliest XD
.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.
Pls help!!
Question:
The polynomial f (x) = ax2 + bx + c has zeros 4 and 5, and f (−1) = 60. Evaluate a, b and c.
a = 2, b = -18, c = 40
Step-by-step explanation:[tex]Given:\ Polynomial\ f(x)=ax^2+bx+c\ has\ zoroes\ 4\ aud\ 5[/tex]
[tex]and\ f(-1)=60[/tex]
[tex]Tofind:\ a,\ b,\ c[/tex]
[tex]Solution:\ As\ 4\ and\ 5\ are\ zeroes\ so\ f(4)=f(5)=0[/tex]
[tex]f(4)=a(4)^2+b(4)+c=0\Rightarrow16a+4b+c=0-(1)[/tex]
[tex]f(5)=a(5)^2+b(5)+c=0\Rightarrow25a+5b+c=0[/tex]
[tex]f(-1)=a(-1)^2+b(-1)+c=60\Rightarrowa-b+c=60-(3)[/tex]
[tex]subtracting\ (1)\ from\ (2)[/tex]
[tex]25a+5b+c-(16a+4b+c)=0\Rightarrow9a+b=0\Rightarrowb=-9a[/tex]
[tex]subtracting\ (3)\ from(2):[/tex]
[tex]25a+5b+c-(a-b+c)=0-60\Rightarrow24a+6b=-60[/tex]
[tex]putting\ b=-9a[/tex]
[tex]24a+6(-9a)=-60\Rightarrow24a-54a=-60\Rightarrow-30a=-60[/tex]
[tex]a=\frac{-60}{-30}=2[/tex] [tex]\Rightarrow[/tex] [tex]a=2[/tex]
[tex]b=-9a=-9\times2=-18[/tex]
[tex]c=-a+b\neq60=-2-18+60=-20+60=40[/tex]
I hope this helps you
:)
Find the average squared distance between the points of r{(x,y): 0x, 0y} and the point (,)
The average squared distance between the points is their variance
The average squared distance is 8/3
How to determine the average squared distance?The given parameters are:
R={(x,y): 0<=x<=2, 0<=y<=2}
The point = (2,2).
f(x,y) = (x-2)² + (y-2)²
The squared distance is calculated as:
D² = f(x,y) = (x-2)² + (y-2)²
Where the area (A) is:
A = xy
Substitute the maximum values of x and y in A = xy
A = 2 * 2
A = 4
The minimum values of x and y are 0.
So, the limits for the integrals are 0 to 2
The integral becomes
[tex]D\² = \int \int (x-2)\² + (y-2)\² dx dy[/tex]
Expand
[tex]D\² = \int \int x\² -4x + 4 + (y-2)\² dx dy[/tex]
Evaluate the inner integral with respect to x from 0 to 2
[tex]D\² = \int \frac 13x^3 -2x^2 + 4x + x(y-2)\² |\limits^2_0 dy[/tex]
Expand
[tex]D\² = \int [\frac 13(2)^3 -2(2)^2 + 4(2) + (2)(y-2)\²] dy[/tex]
Simplify
[tex]D\² = \int \frac 83 + (2)(y-2)\² dy[/tex]
Expand
[tex]D\² = \int \frac 83 + 2y^2-8y + 8 \ dy[/tex]
Evaluate the integral with respect to y from 0 to 2
[tex]D\² = [\frac 83y + \frac 23y^3- 4y^2 + 8y ]|\limits^2_0[/tex]
Expand
[tex]D\² = \frac 83*2 + \frac 23*2^3- 4*2^2 + 8*2[/tex]
D² = 32/3
The average squared distance (AD²) is calculated as:
AD² = D²/A
So, we have:
AD² = 32/3 [tex]\div[/tex] 4
Evaluate the quotient
AD² = 32/12
Simplify
AD² = 8/3
Hence, the average squared distance is 8/3
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The average squared distance between the points of R = {(x,y): 0<=x<= h, 0<=y<=k } is 8/3.
How do determine the average squared distance?
From the given parameters R = {(x,y): 0<=x<= h, 0<=y<=k }
The squared distance from point (h, k) is calculated as
D² = f(x,y) = (x-2)² + (y-2)²
Where the area (A) will be
A = xy
Substitute the maximum values of x and y
A = 2 × 2 = 4
The minimum values of x and y are 0.
So, The integral becomes
[tex]D^{2} = \int \int(x-2)^2 +(y-2)^2 dx dy\\\\D^{2} = \int \int\limits^2_0 (x)^2 -4x + 4+(y-2)^2 dx dy\\\\D^{2} = \int1/3(x)^3-2x^{2} +4x + 4+x(y-2)^2 dy\\\\D^{2} = \int8/3+2y^{2} -8y +8 dy[/tex]
[tex]D^2 = {8/3y +2/3y^2 -4y^2+8y[/tex]
By expanding we get,
D^2 = 32/3
The average squared distance (AD²) is calculated as:
AD² = D²/A
AD² = 32/3 4
AD² = 32/12
AD² = 8/3
Hence, the average squared distance is 8/3
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Please help me answer this question on congruent triangles. 30 points
Answer:
h = 24 cm
Step-by-step explanation:
Let [tex]x[/tex] = height of ΔCBD
Let [tex]h[/tex] = height of ΔABE
As ΔABE ~ ΔCBD then AE : CD = [tex]h[/tex] : [tex]x[/tex]
Given:
AE = 20 cmCD = 10 cm[tex]\implies 20 : 10 = h : x[/tex]
[tex]\implies \dfrac{20}{10}=\dfrac{h}{x}[/tex]
Cross multiply:
[tex]\implies 20x=10h[/tex]
Simplify:
[tex]\implies 2x=h[/tex]
As we are told that [tex]x+h=36 \ \sf cm[/tex]
[tex]\implies h=36-x[/tex]
Equate the two equations for [tex]h[/tex] and solve for [tex]x[/tex]:
[tex]\implies 2x=36-x[/tex]
[tex]\implies 3x=36[/tex]
[tex]\implies x=12[/tex]
Since [tex]h=2x[/tex] then
[tex]\implies h=2 \cdot 12[/tex]
[tex]\implies h=24 \ \sf cm[/tex]
suppose that you are offered a job that pays you $2000 the first month with a raise every month after that. you can choose a 400$ raise or a 15% raise. which option would you choose? what if the raise were 10%,8% or 5%
Answer:
I would choose the $400 raise
Step-by-step explanation:
Well 15% of 2000 would be $300 dollar raise so i would choose the $400 dollar raise instead of the $300 raise because I get more money.
If it was a 10% raise you would get $200 dollar raise
If it was 8% raise you would get $160 dollar raise
And if it was a 5% raise you would get a $100 dollar raise
can someone please help!!
I need the answer and explanation pls
Step-by-step explanation:
percentage of green marbles=
(total green marbles÷ total marbles )×100
If the area of a circle is 64 pie square centimeters, then what is its radius
Answer:
8
Step-by-step explanation:
A=πr^2
64π=πr^2
since answer is in terms of pi, ignore the pi.
sqrt(64)=8
44 friends evenly divided up an nnn-slice pizza. One of the friends, Harris, ate 111 fewer slice than he received.
How many slices of pizza did Harris eat
Answer:
(n/4)-1
Step-by-step explanation:
Can someone please help me with this? It's urgent! I need to turn it in tomorrow, please
Answer:
Step-by-step explanation:
Anything going from lower left to upper right is a positive slope.
The lines are not easily seen. My best estimate is that one point is (2,5)
Use the two points you are sure of.
(0,-1) and (1,2)
Givens
x1 = 0x2 = 1y1 = - 1y2 = 2Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (2 - - 1) / (1 - 0)
m = 3/1
m = 3
Nick did 780 push-ups in 30 days, how many push-ups did he do each day?Show all work and explain how you came to your answer.
Select all ordered pairs that could be added to this relationship and keep it a function:
(-2, -5) (0, -1) (1, 1) (4, 7)
Answer:
that's 4 and 7 .............
travis measured 5 different-colored pencils to the nearest inch, 1/2 inch, and 1/4 inch. He records the measurements in the chart below. He draws a star next to the measurements that are exact.
Answer:
5x/1/2 = 1x
answer 1.12 <3
hope it helps
use brainly<3
Step-by-step explanation:
please help me out with this I will give brainliest if the answer is right
Answer:
60 cm
Step-by-step explanation:
The perimeter of a polygon means adding up all the side lengths.
In this case, we need to add up 13, 12, 8, 8, and 19
Adding all of these gets us 60
The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
SA= 576 in^2
SA= 1024 in^2
V= 2240 in^3
Answer:
945 in²
Step-by-step explanation:
The scale factor of two figures is k.
The scale factor of their surface areas is k².
The scale factor of their volumes is k³.
1024 in² / 576 in² = 16/9 = k²
k = √(16/9) = 4/3
k³ = (4/3)³
k³ = 64/27
2240 in³ × 27/64 = 945 in²
A boy sees a bird sitting on a tree at an angle of elevation of 20°. If a boy is standing 10 miles away from the tree, at what height bird is sitting?
Let that be x
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan20=\dfrac{x}{10}[/tex]
[tex]\\ \rm\rightarrowtail 0.364=\dfrac{x}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=10(0.364)[/tex]
[tex]\\ \rm\rightarrowtail x=3.64mi[/tex]
Answer:
[tex]\displaystyle 4\:mi.[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{10}{h} = cot\:20 \hookrightarrow 10 = hcot\:20 \hookrightarrow \frac{10}{cot\:20} = h; 3,6397023427... \\ \\ \boxed{4 \approx h}[/tex]
OR
[tex]\displaystyle \frac{h}{10} = tan\:20 \hookrightarrow 10tan\:20 = h; 3,6397023427... \\ \\ \boxed{4 \approx h}[/tex]
I am joyous to assist you at any time.
Marvin is saving $5.25 a week to buy a new video game that costs 69.15. How many
weeks will he have to save to buy the game?
Answer: 10.62 irrational
Step-by-step explanation: You can divide 69.15 by 5.25 which equals 74.4 then divide by 7 which equals 10.62
The volume of the triangular block is 4 cubic inches. A triangular prism has a volume of 4 cubic inches. The right triangle bases have side lengths of x and a hypotenuse length of y. THe height of the prism is x. What is the approximate length of y? Round to the nearest tenth of an inch. 1. 4 in. 2. 0 in. 2. 8 in. 3. 5 in.
The value of the hypotenuse y will be equal to y = 2.8 inches.
What is volume of prism?The volume of the prism is equal to the product of the area of its base and the height of the prism.
[tex]\rm V=Area \ of\ triangular \ base\times Height \ of \ prism[/tex]
The volume oif the prism is =4 cubic inches
Height of the prism = x inches
Base of the right angle isosceles triangle will be =x inches
The hypotenuse is given = y
Now
[tex]\rm V=\dfrac{1}{2}\times Base\times Height \times height \ of \ prism[/tex]
[tex]V=\dfrac{1}{2} \times x \times x \times x[/tex]
[tex]x^3=8[/tex]
[tex]x=2[/tex]
Now by pythagorus theorem
[tex]y^2=h^2+b^2[/tex]
[tex]y^2=x^2+x^2[/tex]
[tex]y^2=2x^2=2\times 2^2[/tex]
[tex]y=2\sqrt{2}=2.82[/tex]
Thus the value of the hypotenuse y will be equal to y = 2.8 inches.
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Answer:
2.8 INCHES
Step-by-step explanation:
Alex constructs a circle that passes through all three vertices of the triangle shown.
E
Where will the center of the circle be located?
Answer: A, TRUST ME!
Step-by-step explanation:
Which of the following can be written as an expression? Select all that apply.
Half the difference of 5 and 3
7 is less than twice x.
Five and a half times x is 44.
Twice the product of 3 and 8
5 less than x
Answer:
5-3/22x-75 1/2x = 442(3x8)X-5please help asap
For each relation, decide whether or not it is a function.
Answer:
Step-by-step explanation:
Refer to the definition of a function. I'll just give you a layman's definition to be concise.
For something to be a function, there needs to be exactly 1 output for every input. You cannot have a case where you input 1 value, and get 2 or more values as an output.
In math we call all the possible input values the domain, and we call all the possible output values the range.
Let's take a look at each situation on your worksheet.
1. Is a function. This is because only one arrow stems from each input value. There are cases where the different input values give the same output, sure, but each input returns 1 discrete thing, not an array of things.
(Think of it this way, if i had a machine that could answer any question I had with yes, no or maybe. I wouldn't want the machine to give me "yes and maybe" or "yes and no" as the result when I ask it a question. That doesn't make sense and I would think the machine is broken. What could happen, is that I ask the machine different questions, and for those different questions, it gave me the same answer, like "yes" and "yes" respectively. in that case, it would be acceptable, because it isn't contradicting itself for any individual question.)
2. Not a function. There are 2 different output values for b.
(Refer back to my machine analogy. The "machine" in this question is contradicting itself. I gave the machine one input, and the machine is telling me, "it's this and actually it's this other thing too")
3. Is a function for the same reasons as 1.
4. Isn't a function.
(It's basically telling you, the machine reads -6 as -4, but it also reads -6 as 0, and also 2. And it also tells you the machine reads -4 as -3, but it also reads it as 8. Again, the machine should only read 1 input in 1 way and not contradict itself. )