Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
288 = k
F = [tex]\frac{288}{d^2}[/tex] ← equation of proportion
When F = 7 , then
7 = [tex]\frac{288}{d^2}[/tex] ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = [tex]\frac{288}{7}[/tex] ( take the square root of both sides )
d = ± [tex]\sqrt{\frac{288}{7} }[/tex] ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
when F = 7, d = 6.41
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
Given that F is inversely proportional to d.
F ∝ 1/d
F = k /d²
When F = 8, d = 6, we need to find k
k = Fd²
k = 8×(6)²=288
Now, we need to find d when F = 7
so substitute k = 288, F = 7 in the equation
F = k /d²
d² = k/F
d² = 288/7
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]d=\sqrt{\frac{288}{7}},\:d=-\sqrt{\frac{288}{7}}[/tex]
but, we need to take the positive value of d, so
[tex]d=\sqrt{\frac{288}{7}}[/tex]
[tex]d=6.41[/tex]
Therefore,
when F = 7, d = 6.41
please help me i don’t understand how to do this
plz help me solve this
Answer:
1338.68 meters
Step-by-step explanation:
Perimeter is all of the lengths of the sides added together.
50.9m + 50.9m + 618.44m + 618.44m = 1338.68m
What is the result of the subtraction?
46 – 19=
O 23
0 27
033
0 37
Answer:
27
Step-by-step explanation:
When we take 46 and subract 19 from it, we get 27.
For verification add 27 with 19
The answer is 46
Answer:
27
Break 19 into 10 and 9. 46-10 = 36. 36-9=27.
Can someone help me with this please
Answer:
The 3rd one
Step-by-step explanation:
The rest have dilations, which change the size of the shape. The rest are literally just moving the shape around.
Solve the equation for a.
K = 4a + 9ab
a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.
Answer:
[tex]a= \frac{k}{9b+4}[/tex]
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
K = 4a + 9ab
Since we have our "a" on the same side, we can factor it out from the variables:
K = a(9b + 4)
To get "a" by itself, we would have to divide both sides by 9b + 4:
K/9b+ 4 = a
Your answer would be K/9b+ 4 = a
It would look like this: [tex]a= \frac{k}{9b+4}[/tex]
Answer:
it's a = K / 4 + 9b
Step-by-step explanation:
i just took the test & got it right .
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?
Answer:
21
Step-by-step explanation:
15 divided by 5 is 3
7 times 3 = 21
Answer - There are 21 chocolate chip cookies.
character traits for a nice person
Answer:
15 Simple Traits Of A Truly Good Person
They are honest in relationships. ...
They compliment others when deserved. ...
They call their parents regularly. ...
They are polite. ...
They are kind to everyone. ...
They are generous with their belongings. ...
They remember their manners. ...
They think of others.
Step-by-step explanation:
HOPE THIS HELP
PICK ME AS THE BRAINLIEST
Answer:
friendly, helpfull, kind, and likeable.
Step-by-step explanation:
Simplify.
Hurry please :)
Answer:
[tex]6\sqrt{30}[/tex]
Step-by-step explanation:
the number of employees went from 7623 to 6824 what percent did this increase or decrease
Answer:
9.5% decrease
Step-by-step explanation:
help asap I have 2 min
Simplify (3x – 5) + (5x + 1).
Answer:
(-2x - 6)
Step-by-step explanation:
The given expression is ( 3x - 5 ) - ( 5x + 1 )
We have to simplify the given expression
First we will open the bracket having negative notation outside.
( 3x - 5 ) - 5x - 1
3x - 5 - 5x - 1
Now we will collect the similar terms together.
3x - 5x - 5 -1
-2x - 6
So the simplified form of the expression is (-2x - 6)
Answer:
8x - 4
Step-by-step explanation:
queifnsldnalbdejsjsbsjas
The ratio of Dobermans to terriers is 2:7. There are 774 dogs altogether.
How many Doberman is there?
How many terriers?
Answer:
172-602
Step-by-step explanation:
If the slope of y=2x+5 is changed to -2, how does the graph change?
The positive graph of y = 2x + 5 changes to the negative graph which moves downward from left to right when the slope is changed to -2.
What is Slope?Slope of a line is defined as the difference in the y coordinates divided by the difference in the x coordinates of two points.
Slope of a line is usually denoted by the letter m.
First let us take the graph of y = 2x + 5.
Take x intercept and y intercept of this graph.
x intercept is the point where line touches X axis and y intercept is the point where line touches Y axis.
From the equation of the line, y intercept = 5
So we get a point (0, 5)
Now to find x intercept, let y = 0 in the equation, then x = -2.5
So we get another point (-2.5, 0)
So the line y = 2x + 5 passes through the points (0, 5) and (-2.5, 0).
Now if the slope changed to -2, equation becomes y = -2x + 5.
y intercept is same.
So one point of the line will be (0, 5)
To find x intercept, let y = 0 in the second equation, then x = 2.5
So the second line passes through the points (0, 5) and (2.5, 0)
That is, the graph which goes upward from left to right changed to the graph downward from left to right.
Hence, when the slope changed to -2, the graph goes downward from left to right.
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Please help!! I included a pic of the problem to make it easier.
Find the quotient (z/w)
z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)
[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these
Answer: i think it is D
we have:
[tex]\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }[/tex]
Step-by-step explanation:
5/7x + 15 - 9/14x - 9
Answer:
1/14x+6
Step-by-step explanation:
I have already learn that
Answer:
1/14x+6
Step-by-step explanation:
Hope this helped have an amazing day!
what does x equal and what are the angle measures?? help Asap
all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2
Micah downloads music from an online music store. He pays $1.00 for each song, but if he buys three songs he gets a fourth song for free. Does this relationship have a constant rate of change or a varying rate of change?
Answer: this relationship has a constant rate because the pattern will stay as buy three get the 4th one free
Step-by-step explanation:
Answer:
A varying rate of change.
Step-by-step explanation:
He will have spend 1 dollar for one song, making that point (1,1), 2 dollars for two songs (2,2), 3 dollars for 3 songs (3,3), but when he buys a fourth song, which is free, he has still only spent 3 dollars, making the point (4, 3).
(That's with the amount of songs as the x value and money spent as the y-value)
Given the following system of equations, identify the type of system.
x + 2y = 6
3x + 6y= -9
A. Consistent
B. Inconsistent
C. Equivalent
Answer:
The two lines in the graph are parallel, so it is B. Inconsistent since there is no solution.
Answer:
the answer would be B inconsistent
Can someone Help me I'm Stuck on these three Questions
Z+(-7)=-8
13=Z+18
12=T+3
Explain your answer
Thanks For the Help:)
Answer:
1.) z = -1
2.) z = -5
3.) t = 9
Step-by-step explanation:
z + (-7) = -8
=> add 7 to both sides
z = -1
13 = z + 18
=> subtract 18 from both sides
-5 = z
12 = t + 3
=> subtract 3 from both sides
9 = t
Simplify
2x( x^3-3x^2+5x-8)
Answer: =2x^4−6x^3+10x^2−16x
Step-by-step explanation:
Scott's Montly income is $3,500. Scott spends 12% of his monthly income on groceries.
a. calculate the amount Scott spends each month on groceries
b. Scott spends $250 each month on his car. What percent of his monthly income does scott spend on his monthly car payment? (round to the nearest whole percent)
help plss
Answer: i don’t know this anwser but pls give me points I’m sure another person will give u something
Step-by-step explanation:
What is the linear equation? (In y=mx+b form)
Is the following relation a function?
Relation:
X Y
-4 2
-2 1
0 0
1 2
The domain:
{-2,-4, 0, 1 }
The range:
{ 0, 1, 2 }
Describe the graph y=|x-2|+4
A) a V shaped graph with vertex at(-2,4) which opens up.
B) a V shaped graph with vertex at (4,-2) which opens down
C)a V shaped graph with vertex at(4,2) which opens down
D) a V shaped graph with vertex at(2,4) which opens up
Answer: D) a V shaped graph with vertex at(2,4) which opens up
Step-by-step explanation:
Answer:
d
any more help just ask :)
Which choice is equivalent to the quotient shown here when x > 0?
The simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.
What is an expression?In mathematics, an expression is a combination of numbers, variables, operators, and functions that can be evaluated to produce a numerical value or another mathematical object such as a polynomial, equation, or inequality.
We can simplify the given expression by factoring out the greatest perfect square factor under each square root symbol. For the first term, √18x³, we can factor out √9x², which is 3x√2. For the second term, √9x, we can factor out √9, which is 3. Thus, we have:
√18x³ + √9x = √(9x²⋅2x) + √(9⋅x) = 3x√2 + 3√x
We can then factor out 3 from both terms:
√18x³ + √9x = 3(x√2 + √x)
Therefore, the simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.
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Please help me with these questions ASAP!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
For the first picture: m angle t=36 and m angle v=54
For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180
Step-by-step explanation:
For the first picture, you had to do 2x+3x+90=180
We got the 90 from the right triangle.
Then you combine like terms, which was then 5x=90=180
Then, you subtract the 90 from both side, leaving 5x=90
Divide 90 by 5, which gives you x=18
For both the answers, you had to do 2(18) for T and 3(18) for V
The second picture, you did (8y + 1) + (5y + 5)= 136
You combine like terms, which levas you with 13y + 6 = 136
You subtract 6 from both sides, leaving you with 13y= 130
Divide 130 by 13, which is 10 so y=10
You then replace the y for (8y + 1) to 10 and solve
As well as for (5y + 5), you replace the y with 10 and solve
And m angle QRP is 180 because every triangle has a total of 180 degrees
Hope this helped!
please help! i’ll give brainliest! thank u!
Answer:
Negative with little correlation
It has negative slope if you imagine a line
PLS HELP BEST AWNSER GETS BRAIN THINGY
Answer
I think its C which is 112
Answer:
112
Step-by-step explanation:
i did the math
Answer the question below?
the figure is regular quaidlater
the sum of all interior angle is 360
measure of angle = 360/4
= 90
so the exterior angle is 90 ( by linear pair)
Select all the true statements about this graph.
A. The graph is nonlinear
B. The function increases at the same rate.
C. The rate decreases after x=2.
D. The graph is a function
E. The graph is increasing in two intervals.