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
Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator
Answer:
9/21 & 7/21
Step-by-step explanation:
Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
What are equivalent fraction?"Equivalent fraction is fraction with different numerator or denominator
that represents the same value or proportion of the whole."
What is common denominator?"Common denominator is the same denominator of all the fraction"
We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator.
As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]
and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]
⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]
⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]
Hence, Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
Learn more about Equivalent fraction and common denominator here
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i need help with this practice problem
Answer:
Step-by-step explanation:
V of a sphere is (4/3)*pi*r³, and because we have 3 scoops
V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³
Q1. The speed limit on a road is 40km/h. A scooter drives 9
kilometers in 15 minutes. Is the scooter breaking the speed limit?
step by step explanation plz
Please help brainiest will give you!
Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3
Thanks!!!!!!
Answer:
the answer is D
Step-by-step explanation:
......................
Answer:
-1/3
Step-by-step explanation:
Plz can you help me out with this question..
Answer:
86%
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
The sum for the class is calculated as
[tex]\frac{sum}{30}[/tex] = 70 ( multiply both sides by 30 )
sum = 2100
The sum of the 20 boys is
[tex]\frac{sum}{20}[/tex] = 62 ( multiply both sides by 20 )
sum = 1240
The sum for the 10 girls is therefore 2100 - 1240 = 860
Thus the mean mark for the girls is
mean = [tex]\frac{860}{10}[/tex] = 86%
Which of the following quadrilaterals are similar?
Answer:
I believe its the last one
Answer:
the last one.
Step-by-step explanation:
What are the factors of 10x^3+24x^2+14x
Answer:
2x(x+1)(5x+7)
Step-by-step explanation:
10x^3+24^2+14
2(5x^3+12x+7)
2x(5x^2+12x+7)
2x(x+1)(5x+7)
2x(2x+1)(5x+7)
Which equation is equivalent to the equation 6x + 9=12
Answer:
the answer is 1/2
Step-by-step explanation:
i solved it
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Bradley answered 80% of the questions on his science test correctly. There were 30 questions on the test, and all the questions had equal value. How many questions did Bradley answer correctly on his test?
Answer:
24 correct questions
Step-by-step explanation:
What is the equation of the line that passes through the point (8,-8) and has a
slope of – 12
Answer:
y + 8 = -12(x - 8)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (8, -8)
Slope m = -12
Step 2: Write Function
Substitute variables into general form.
y + 8 = -12(x - 8)
Find the value of x.
Answer:
I think the value of x is 61 degrees
Answer:
the answer is 65
Step-by-step explanation:
you add 61 and 54 then subtract from 180 you get 65 as your answer
5. a) Determine the total surface area of
this tent, including the floor, in order to
estimate the amount of canvas needed
to construct it.
b) What is the volume of the tent?
13m
22 mm
13.5 m
3 m
I
4 m
4 m
Unit 6
Step-by-step explanation:
Radius of the conical part = radius of cylindrical part r=
2
3
m
Slant height of the cone l=2.8 m
Height of the cylinder, h=2.1 m
Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.
Curved surface area of conical part = πrl=
7
22
×
2
3
×2.8=13.2
Curved surface area of cylindrical part =2πrh=2×
7
22
×
2
3
×2.1=19.8
Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part
=13.2+19.8=33 m
2
Cost of 1 m
2
canvas = Rs. 500
Cost of 33 m
2
canvas =33×500=16500
Therefore, it will cost Rs. 16500 for making such a tent.
50 points for good answ.
car moves with constant speed. from A to B, car had to arrive on time, but he ride half of the road with 2/3v speed. with what speed car has to ride the rest of the road to go on B location on time?
Answer:
2vStep-by-step explanation:
Let the distance be d and average speed be v.
Half of the distance the speed was 2/3v
Let the speed be xv in the second half of the distance.
Then time is:
d/v = d/2 : (2/3v) + d/2 : (xv)d/v = 3/4(d/v) + (1/2x)(d/v)1 = 3/4 + 1/2x1/2x = 1 - 3/4 1/2x = 1/42x = 4x = 2The rest of the road car has to ride with speed of 2v
If m∠13=2x-3 and m∠15=71°, find the value of x.
Show work please
Here ∠13 & ∠15 are corresponding angles , so they are equal [ ∠13 = ∠15 ]
As per the question ,
⇒ 2x - 3 = 71°
⇒ 2x = 71 + 3
⇒ 2x = 74
⇒ x = 74 ÷ 2
⇒ x = 37
Hence , x = 37
I need help with both 17 and 18! WILL MARK AS BRANLIEST, PLEASE HELP ASAP!!
Answer:
17. $2194.80; 18. $1147.20
Step-by-step explanation:
I=prt; I = interest, p = principle, r = rate, t = time
plug in and go
17.
I = 1860(.06)3
I = 1860(.18)
I = 334.8
334.8 + 1860 + $2194.80
18.
I = 960(.065)3
I = 960(.195)
I = 187.2
187.2 + 960 = $1147.20
6. Find how long it takes $600 to double if it is invested at 12%
interest compounded monthly.
With work
Answer:
A = $697.09
Step-by-step explanation:
A = P (1 + r/n)
A = 600 (1 + 0.05/365)
A = $697.09
Jess earns 10 per hour babysitting. Her friend Sam earns $12.50 per hour. If Jess started with $5, how many hours will both friends need to work before they have the same amount of money.
Answer:
they have to work 2 hours
Step-by-step explanation:
Jess has a $5+ x*$10
Sam has x*$12.5
where x-is number of hour worked
after x=1 hour
Jess has a $5+ 1*$10=$15
Sam has 1*$12.5= $12.5
afterx=2 hours
Jess has a $5+ 2*$10=$25
Sam has 2*$12.5=$25
Find the equation of the line y=___x+___
Answer:
y = 3x + 3
Step-by-step explanation:
...............................
Choose the correct solution for this equation X/2-12 = 24
Answer:
[tex]x=72[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} -12=24[/tex]
[tex]x-24=48[/tex] (multiply [tex]2[/tex] on both sides)
[tex]x=72[/tex]
Hope this helps :)
A track team has 25 runners. There are 18 boys on the team. What percent of the track team are girls? *
Answer:
28%
Step-by-step explanation:
Given that,
The total no of runners = 25
No. of boys in the team = 18
We need to find the percent of the track team are girls.
Total no of girls = 25-18 = 7
Percent of girls :
[tex]g=\dfrac{\text{No. of girls}}{\text{Total runners}}\times 100\\\\=\dfrac{7}{25}\times 100\\\\=28\%[/tex]
Hence, there are 28% of girls.
Booker owns 85 video games.He has 3 shelves to put the games on. Each shelf can hold 40 games. how many more games does he have room for?
The amount of room he has for more games is 35. 3 times 40 = 120 - 85 = 35.
What are the solution points for the system graph?
Question 12 options:
A)
(–2,8) and (–4,4)
B)
(8,–2) and (4,–4)
C)
(–2,4) and (–4,8)
D)
(–2,–4) and (4,8)
Answer:
The answer is D. (-2,-4) and (4,8). These are the two points that the two lines intercept.
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
Answer:
112 degrees
Step-by-step explanation:
The other 2 interior angles are (180-44)/2 which is 68.
180 (straight line) -68 = 112
Enter the equation of the line in slope-intercept form.
The line passes through (1,7) and (2,19).
The equation of the line is
Answer:
ajfbgaulfgsuidglml
Step-by-step example:
(02.01)
Solve for x
2/3(x - 2) = 4x (1 point)
Select one
2.
a
5
5
2
с
2.
5
d. 5
Answer:
x=-2/5
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!
Answer:
y = 3x-5
Step-by-step explanation:
The difference between each y for each change of 1 in x is 3, so it's y-intercept is -5, and its slope is 3.
what is the answer to this?
Answer:
m∠4 = 55°
Step-by-step explanation:
From the figure attached,
m∠DBC = m∠BCA + m∠BAC [Exterior angle of a triangle equals the sum of the remote interior angles]
m∠4 = 30° + 25° = 55°
Therefore, m∠4 = 55° will be the answer.
convert 1/15 into a decimal correct to 2 decimal places
Answer:
[tex]\frac{1}{15} = 0.\overline{66}[/tex]
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:
[tex]\frac{1}{15} = 0.xx[/tex]
2) We multiply the numerator by 10 and find the tenth digit:
[tex]\frac{10}{15} = 0[/tex]
Then,
[tex]\frac{1}{15} = 0.0xx[/tex]
3) We multiply the fraction in 2) by 10 and find the hundredth digit:
[tex]\frac{100}{15} = 6[/tex]
Then,
[tex]\frac{1}{15} = 0.66x[/tex]
And the remainder is:
[tex]r = 100-15\times 6[/tex]
[tex]r = 10[/tex]
4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:
[tex]\frac{100}{15} = 6[/tex]
Then,
[tex]\frac{1}{15} = 0.666[/tex]
This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:
[tex]\frac{1}{15} = 0.\overline{66}[/tex]
A dog lost 2 pounds three weeks in a row. What integer expresses the total change in the dogs weight
Answer:
-6 is the integer
Step-by-step explanation: