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
What is 149/15 as a mixed number?
Answer:
its an improper
mixed : 9 14/15
Step-by-step explanation:
its a mixed number if the number at the tops in the limit and there is a number at the side that represents whole number(s)
Answer:
the answer is 9 14/15
Step-by-step explanation:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 149 by 15 and keep only what is to the left of the decimal point:
149 / 15 = 9.9333 = 9
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
149 - (15 x 9) = 14
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 149/15 as a mixed number is:
If x to the first power is a line, and you multiply two lines together, what do you get? Think of the the exponent.
Answer: A quadratic equation (also called a parabola)
Step-by-step explanation:
A line can be written as:
f(x) = a*x + c
This is a polynomial with degree 1.
Now, of we have two lines:
f(x) = a*x + c
and:
g(x) = d*x + e
And we multiply them, we will get:
f(x)*g(x) = (a*x + c)*(d*x + e) = a*d*x^2 + a*e*x + c*d*x + c*e
We can rewrite this as:
= (a*d)*x^2 + (a*e + c*d)*x + (c*e)
This is a polynomial of degree = 2, this is a quadratic equation, then if you multiply two lines together, you get a quadratic equation (or a parabola)
Answer:
ax^2+ bx + c
Step-by-step explanation:
I get a parabola, that is, an equation of the second degree
Pls help fast will give brainliest
Answer:
23
Step-by-step explanation:
6×3+5(3-2)
6×3+5×1
18+5
23
can someone answer the questions on my page if so ill give all the correct answers brainlist.
If a 70 kg person on a 15 kg sled is pushed with a force of 300 N, what will be person's
acceleration?
Which table does NOT show y as a function of x?
Answer:
C
Step-by-step explanation:
I don’t really know what to say haha, it’s easy
The value of the digit in the hundreds place in the number 587,349 is 1/10 the value of the digit in the thousands place in which number? *
Answer:
3000 is your answer
Step-by-step explanation:
The 3 in the hundreds place if the number 587,349 has a value of 300. This 300 is 1/10 the value of the number you're looking for, so if x is the number you're looking for, then
[tex]300 = \frac{1}{10} x[/tex]
[tex]300 \times 10 = \frac{1}{10} x \times 10[/tex]
[tex]3000 = x[/tex]
x is your answer.
Each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties except the ______.
A. Square
B. Rectangle
C. Trapezoid
D. Parallelogram
Trapezoid is the quadrilateral with only one pair of opposite parallel sides.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.
Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.
Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.
Hence, the correct option is Trapezoid.
For more references on Quadrilateral, click;
https://brainly.com/question/13805601
#SPJ2
v=u + at
u= 2
a= -5
t = 1/2
Work out the value of v.
Answer:
V= -1/2
Step-by-step explanation:
You would have to add U+AT to get V
If A=-5 and T=1/2, then -5*1/2= -2.5 (A*T)
Then, adding U (which is 2), gives -.5, or -1/2
quick!! write an equation in slope intercept form using points (-3,0) (3,-4) !
Answer:
i dunno but the slope is -4/6
Step-by-step explanation:
Find two numbers with sum 82 and difference 30.
Answer: I think it would be 112.
Step-by-step explanation:
can you please help me with this
Answer:
Dot plot
Step-by-step explanation:
Each dot on on 0.84 represents each plane. 5 planes had a average cruising speed of 0.84.
What is this??????????
Answer:
A drawing. I guess the sky
Step-by-step explanation:
this is a very hard question
15PTS PLEASE HELP ASAP!
(dont write random answers pls))
Answer:
i think the answer is (-8,-12) but i may be wrong plese correct me if i am
Step-by-step explanation:
The total cost of renting a banquet hall is a function of the number of hours the
hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?
9514 1404 393
Answer:
$500
Step-by-step explanation:
The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...
C = 45·10 +50 = 450 +50 = 500
The greatest value in the range for this situation is $500.
I need help one this question.
Answer:
-2
Step-by-step explanation:
the y-intercept is -2
Answer:
y=2x-2
Step-by-step explanation:
Find the slope.
y1-y2/x1-x2
2-(-2)/2-0
That gives you 4/2 or a slope of 2.
The y intercept is at -2.
Y=2x-2
How do I solve this equation by completing the square. 4X^2 + 12x +5 = 21
The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the windows and having them installed is 5323.50 of the o'briens pay 230.25 per window how many windows did they buy
Answer:
14
Step-by-step explanation:
Given that:
Cost of purchase and installation = 5323.50
Cost per window = 230.25
Cost of installation = 2100
Hence,
Total purchase cost of windows alone :
5323.50 - 2100 = 3,223.50
Therefore, the number of windows purchased is :
(Total purchase cost of windows alone / price per window)
(3,223.50 / 230.25)
= 14
Hence, 14 windows was purchased
someone please solve and find the corresponding angles thanks
the correct option is b
write each percent as a fraction in simplest form
60%
Answer: 3/5 i hope this helps god bless
Step-by-step explanation:
y = m + mnp
Solve for n.
pls help me
Answer:
n = y - m/mp
Step-by-step explanation:
y = m + mnp
y - m = mnp
y - m/mp = mnp/mp
y - m/mp = n
Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28
Answer:
b. 14
Step-by-step explanation:
transversals angles
please help me i don’t understand how to do this
PLEASE ANSWER! 15 POINTS
Answer: 13/15
Step-by-step explanation:
1/5 + 2/3 = 13/15. Since 13/15 can’t be simplified, that’s your answer.
Even if you don’t think it is an independent variable, _____ is usually always plotted on the “x” axis.
Help?
Answer:
Y axis is dependent
Step-by-step explanation:
and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol
PLEASE I NEED AN ANSWER NOW WILL MARK U BRAINLIEST!!!1!
how do u find y intercept without a graph for systems of equations? (y = x - 6)
Answer:
-6 is the y intercept.
the number added or subtracted from the x in the slope intercept form is always the y intercept
Step-by-step explanation:
plz mark me brainliest
Lines MN and PQ are parallel. Lines RS and TV intersect them. Which statements are true about these lines? Select three options. The slope of line MN is Two-thirds. The slope of line PQ is undefined. The slope of line RS is Negative three-halves. Lines RS and TV are parallel. Line RS is perpendicular to both line MN and line PQ.
Answer:
hello your question is incomplete attached below is the missing diagram
answer :
RS is perpendicular to line MN and line PQ
The slope of line MN is 2/3
The slope of line RS is -3/2
Step-by-step explanation:
The slope of line MN is 2/3slope of MN = [tex]\frac{3-(-1)}{3-(-3)}[/tex] = 4/6 = 2/3
The slope of line RS is -3/2slope of RS = [tex]\frac{-2-1}{2-0}[/tex] = -3/2 this shows that Line RS are perpendicular
Lines RS is perpendicular to MN and PQlines RS is perpendicular to MN and PQ because it's sign is opposite hence it is perpendicular to MN and PQ
Answer:
The slope of line MN is Two-thirds.
The slope of line RS is Negative three-halves.
Line RS is perpendicular to both line MN and line PQ.
Step-by-step explanation:
hope it helps
can someone help me understand this
Answer:
The answer for the question is E.
I need help with this
Answer:
24.3470022334
Step-by-step explanation: