Answer:
Since we know the slope is the value multiplied by x , the slope is −1.
Step-by-step explanation:
We can rewrite this equation as:
y=1x+0
The slope-intercept form of a linear equation is:
y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:
y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
I hope this helps :)
A particle P of weight 20 N is suspended by two strings AP and BP. The tension in string AP is (ai+8j)
and the tension in string BP is (6i+bj)
The value of a is?
And the value of b is?
The magnitude of the tension in string AP is?
The angle that string BP makes with the vertical is?
Give your answers as exact whole numbers or as decimals to 3 s.f.
Answer:
i. a = -6 ii. b = 12 iii. 100 iv. 26.6°
Step-by-step explanation:
Since the weight of the object is 20 N and directed downwards, its vector is -20j. Now, since the particle is in suspension, AP + BP = -20j
So, since AP = ai + 8j and BP = 6i + bj,
AP + BP = -20j
ai + 8j + 6i + bj = -20j
ai + 6i + 8j + bj = -20j
(a + 6)i + (8 + b)j = -20j
(a + 6)i + (8 + b)j = 0i - 20j
equating the components on both sids,
a + 6 = 0 and 8 + b = 20
a = -6 and b = 20 - 8 = 12
i. The value of a is -6
ii. The value of b is 12
iii. The magnitude of the tension in string AP is?
since AP = ai + 8j = -6i + 8j
magnitude of AP = √[-6² + 8²] = √[36 + 64] = √100 = 10
iv. The angle that string BP makes with the vertical is?
Since BP = 6i + bj = 6i + 12j, the angle it makes with the horizontal is Ф = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.
Thus, the angle it makes with the vertical is thus 90° - 63.44° = 26.56° (complementary angles) ≅ 26.6° to 3 s.f
1) The values of a and b of the given vectors are respectively; -6 and 12
2) The magnitude of the tension in string AP is; 10
3) The angle that string BP makes with the vertical is; 26.6°
What is the magnitude of the tension?
We are told that the weight of the particle P is 20 N. Since the particle is suspended by two strings, then its' direction is downwards and as such its vector is -20j.
By equilibrium;
AP + BP = -20j
1) We are given the tension vectors;
AP = ai + 8j and BP = 6i + bj,
Thus;
ai + 8j + 6i + bj = -20j
(ai + 6i) + (8j + bj) = -20j
(a + 6)i + (8 + b)j = -20j
(a + 6)i + (8 + b)j = 0i - 20j
Equating the components of both sides gives;
a + 6 = 0 and 8 + b = 20
Solving gives;
a = -6 and b = 20 - 8 = 12
Thus, the values of a and b are -6 and 12
2) The magnitude of the tension in string AP is gotten from resolution of the tension vector AP;
AP = ai + 8j = -6i + 8j
Thus, magnitude of AP = √(-6² + 8²) = √(36 + 64) = √100 = 10
3) The angle that string BP makes with the vertical is gotten from;
BP = 6i + bj = 6i + 12j
Thus, the angle it makes with the horizontal;
θ = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.
Angle it makes with the vertical = 90° - 63.44° = 26.56° ≈ 26.6°
Read more about Magnitude of Tension at; https://brainly.com/question/13370981
man in barbados invest $12 000 into an account that pays 8.5% interest per year, compounded annually. calculate the amount of money that he will have after 3 years.
Line L is mapped onto line M by a dilation centered at the origin with a scale factor of 3. The equation of line is 3x−y=4. Determine and state an equation for line M.
there are websites such as
mathpapa
algebra tiger - favorite
and many more that will give you the CORRECT answer and will give u a step by step explanation on how it was answered
HELPPP ON GEOMETRY PLZZ!!! No links i will report.
Answer:
J) is multiplied by 4
Step-by-step explanation:
If Fx) = 7x-6, which of the following is the inverse of Ax)?
O A. F'(x) = **?
0 B. F'(x) =
C. F'(x) = **
O D. F'(x) = *7
Answer:
It's C
Step-by-step explanation:
Write f(x)=7x−6f(x)=7x-6 as an equation.
Interchange the variables.
Solve for y.
Paul needs to buy 5_8pound of peanuts. The scale at the store measures parts of a pound in sixteenths. What measure is equivalent to 5_8pound?
Answer:
10 ÷ 16
Step-by-step explanation:
The computation is shown below
Given that
Paul required to buy 5 by 8 pound of peanuts
And, the scale at the store is in sixteenths
So, the measure that should be equivalent is
Here the denominator should be 16 so it should be multiplied by 2
= 5 ÷ 8 × 2 ÷ 2
= 10 ÷ 16
HELP ASAP WILL MARK BRAINLIEST
5/2 divided by -1/3 PLEASE ANSWER!!
Answer:
−7 1/2
Step-by-step explanation:
1
-7 2
Answer: -0.83333333333
Step-by-step explanation:
Which equation, when graphed, has x-intercepts at (8,0) and (-2, 0) and a y-intercept at (0, -48)?
f(x) = -3(x – 8)(x + 2)
f(x) = -3(X + 8)(x - 2)
f(x) = 3(x-8)(x + 2)
O f(x) = 3(X + 8)(- 2)
Answer:
f(x)=-3(x-8)(x+2)
Step-by-step explanation:
f(8)=-3(8-8)(8+2)=-3×0×10=0
f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0
f(0)=-3×(0+8)×(0+2)=-3×8×2=-48
How do I know that these are not a function?
0,-1
2,3
0,4
2,5
0,6
2,7
Answer:
there are multiple 0's in the same area, and multiple 2's.
Step-by-step explanation:
The circumference of a circle is 19π m. What is the area, in square meters? Express your answer in terms of \piπ.
Answer:
90.25π
Step-by-step explanation:
The circumference of circle is 2πr, or in other words the diameter times π.
The area of a circle is πr^2.
19π is the circumference of this circle.
So, 19 is the diameter, and 9.5 the radius.
The area if (9.5^2)π.
9.5^2=90.25
So, in terms of π, the area of the circle is 90.25π.
You know the length of the garden is 12 feet. You also know that the area of the garden is 60 ft2. Write and solve an equation to determine what is the width of the garden?
Answer:
Width is 5
Step-by-step explanation:
Set up an equation
12x=60
divided both sides by 12
answer is 5
The width is 5
to check your answer multiply it by the length
12*5=60
Check Check
Answer:
60÷12=5 so the width is 5 if the length is 12.
A ship is 40 miles east and 25 miles south of port. The captain wants to sail directly to port. What bearing should be taken?
Answer:
N58°W
Step-by-step explanation:
The trigonometry diagram has been attached below :
To obtain the angle θ ;
Tan θ = opposite / Adjacent
Tan θ = 40 / 25
Tan θ = 1.6
θ = tan^-1(1.6)
θ = 57.99°
Henve, bearing directly to Port is :
N58°W
EASY 100 POINTS!
The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.
a) Without doing any calculations, which event is more likely? Explain.
Event A: Randomly selecting a family from the United States that has 3 or more children.
Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.
b) The probability of one of the two events listed in part (a) can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated? Explain.
c) Calculate the probability of the event that you selected in part (b).
Answer:
A
Step-by-step explanation:
What is the volume of the pyramid
Hey There! Not sure what pyramid you're talking about But I can help you by explaining how to solve the volume of a pyramid. The Formula of a pyramid is 1/3 x base area x height. So, you can multiply 1/3 or 0.33333333 (Decimal version of 1/3) by the base than multiply it with the Height. Hope this helps! Also, perhaps next time put what pyramid you are talking about!
help pleaseee i’ll give 100 points ❤️
Answer:
C: Translation and dilation.
Step-by-step explanation:
C: Translation and dilation.
The translation moves it to the same space while the dilation retains the shape but makes it larger/smaller.
the answer to your question is C
two spheres have a scale factor of 3:2 what is the ratio of the diameters of the spheres? 
9:4
13:12
27:8
3:2
9514 1404 393
Answer:
(d) 3:2
Step-by-step explanation:
Usually, when we say two objects are related by a scale factor, we are talking about the linear dimensions of the objects. Here, we're concerned with the ratio of diameters. The diameter is a linear dimension of the sphere, so the ratio of diameters is the same as the scale factor:
3:2
I'm running out of pointssssssssss
Answer: Question 1 is m=3
Question 2 is, 6 is the intercept for the y axis. And (-4,7) is the other intercept.
Step-by-step explanation:
what are the coordinates of the midpoint of segment AB with the endpoint A(-3,4) and (5,6)
Answer:
(1,5)
Step-by-step explanation:
You use the midpoint formula to solve this problem
The midpoint formula:
To solve for x: (x1+x2)÷2
To solve for y: (y1+y2)÷2
Simplify each ratio. Remember to include the UNITS in your final answer.
1) 10 bags to 15 coats
2) 16 apples to 40 oranges
Answer:
2:3
2:5
Step-by-step explanation:
10:15
divide both sides by 5 or gcf
2:3
16:40
divide both sides by 8 or gcf
2:5
George says that an account that earns 4% interest compounded annually and an account that earns 2% interest compounded semi-annually will be worth the same if the principals are the same
Answer:
the account won't yield the same amount despite the same principal amount.
Step-by-step explanation:
To test this assertion :
Let principal = $1000
t = 1 year
Compound interest formula :
A = P(1 + r/n)^nt
P = principal ; r = rate, n = number of times interest is compounded per period ; t = time
Account A :
Rate = 4% annually
A = 1000(1 + 0.04/1)^1
A = 1000 * 1.04 = $1040
Account B:
Rate = 2% compounded semianually ; n = 12 /6 = 2
A = 1000(1 + 0.02/2)^1*2
A = 1000(1.01)^2
A = 1000 * 1.0201
A = $1020.1
From the result, the account won't yield the same amount despite the same principal amount.
Find the equation of the line use exact equation khan academy . This is the last question and it’s due soon 20 points
Answer:
y= -1/3x-6
Step-by-step explanation:
The slope is rise over run
The y-intercept is the point where the line crosses the y-axis.
If this helped please consider giving brainliest.
Answer: y=.25x-6
Step-by-step explanation: find the slope with [tex]m=\frac{y2-y1}{x2-x1}[/tex] and make it [tex]m=\frac{-6+7}{0-4} =1/4[/tex] or .25
then, convert to y=mx+b form which would be [tex]y=\frac{1}{4}x-6[/tex] or [tex]y=.25x-6[/tex]
b standing for y intercept and m standing for slope.
An item is regularly priced at $90. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
Answer: $36 is discounted from the regular price
Step-by-step explanation:
First, we need to take our given numbers
Originally $90
On sale for %40
Let's now use this equation
90(n)
n will equal 0.40 due to it being %40 off
90(0.40)
$36
A right rectangular prism in the shape of a shoebox is cut parallel to its bottom face. Describe the shape of its cross section.
Answer:
Step-by-step explanation:
Rectangle
please help will mark right answer brianlyist
Answer:
y=5/4x+10
Have a nice day.
Answer:
5/4x + 10
Step-by-step explanation:
If it's parallel, the slope will remain the same.
To find the y-intercept, you have to plug in the coordinates into the equation which is, y = 5/4x + b.
y = 5/4x + b
0 = 5/4 (-8) + b
0 = -10 + b
10 = b
The equation is 5/4x + 10.
A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7
Answer:
Step-by-step explanation:
Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary
Answer:
506π ft^2
Step-by-step explanation:
here's your solution
=> height of cylinder = 12 ft
=> radius of cylinder = 11 ft
=> surface area of cylinder = 2πr(h+r)
=> SA = 2*11(12+11)*π
=> SA = 22*23π
=> SA = 506π ft^2
hope it helps
x² - 6x - 8
I’m confused.... help???
Answer:
(x - 2) (x - 4)
Step-by-step explanation:
-2 & -4 are a factor of -8 and a sum of -6
-2 x -4 = -8
-2 + -4 = -6
Therefore the answer is (x - 2) (x - 4)
Write as a decimal: 1%
Answer:
0.01
Step-by-step explanation:
0.01×100=1
hope this helps
Answer:
0.01
Step-by-step explanation:
0.01 is the same as 1/100, and 1% is also the same as 1/100
If HBN-LYR Find the value of x
Answer:
8 have a great day hope this helped