Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.
Answers
Answer:
Above is the step-by-step solution
![Given That P Varies Directly As Q And [tex] \sqrt{q} [/tex]varies Inversely With T, Show How P Varies](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/bkqFIgLAgyqByMtai47MyZFa4QGAYYyy.jpeg)
[tex]\\ \sf\longmapsto p\propto q [/tex]
[tex]\\ \sf\longmapsto p=kq[/tex]
Divide both sides by q[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]
Now
[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]
Substitute√q[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]
Substitute q=p/k[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]
Done
Related Questions
PLEASE HELP!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answers
Answer:
DE = ____24__ m∠E = ____22____
Step-by-step explanation:
I hope this helps
how to slove and answer 11r+60=16
Answers
Answer:
r= -11
Step-by-step explanation:
11r + 60=16
we can see that 11x r + 60 = 16
but thats the problem ! we don't know what r is so
lets get r on its own
11r + 60 =16
subtract 60 from each side
60 -60 =0
left side = 11r
16-60 = -44
right side = -44
11 r = -11
divide both sides by 11
11r divided by 11 = r
-44 divided by 11 = -11
r=-11
I answered your question so plz mark as brainliest!xxxx
The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.
Answers
Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches
Area of a square = s²
s = side length of the squareHence, we have ;
150 = s²
s = √150
s = 12.247
Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.
Learn more : https://brainly.com/question/25562438
.Question.[Mathematics]
6! =
7! =
Answers
[tex] \: \: \: \: \: \: [/tex]
[tex]6! = 720 \\ \\ 7! = 5040[/tex]
Step-by-step explanation:
[tex]6![/tex]
Usen! -n × ( n - 1 )×...× 2 x 1 to = calculate the factorial[tex]6 \times 5 \times 4×3× 2×1[/tex]
calculate the product[tex] = 720[/tex]
[tex]7! = [/tex]
Usen! - nx(n-1)×...*x2x1 to = calculate the factorial[tex]7 \times 6 \times 5 \times 4×3×2×1[/tex]
calculate the product[tex] = 5040[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
Answer:
720 and 5040
Step-by-step explanation:
Using the definition of n! ( n factorial )
n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
Solve the equation
9 + 13 = 31
Answers
False
9 + 13 = 31
22 ≠ 31
Answer:
22
Step-by-step explanation:
po ang tamang sagon po
I need help with dis. (*_*)
Answers
Answer:
Uh, okay...
Step-by-step explanation:
A) -40-180=-220
B)-220-175=-395
C)-395-185=-585
D) Sorry I can't read it my eyesight's bad TwT
Hailey ordered 12 pizzas for a grade level party. If each person eats 3/8 of a pizza equally, how many people can Hailey feed with 12 pizzas?
Answers
Answer:
24
Step-by-step explanation:
pls help me find the answer-
Answers
Answer:
answer in pic, hope it helps
Marie and Amy are cutting ribbons to attach to balloons for Amy's birthday party. Each guest's chair will have on balloon tied to it. each ribbon is 2/3 of a yard and they have 6 yards of ribbon in total. How many ribbons will they cut. A. 1/9 B.4 C.8 D. 9
PLS ANSWER QUICK FIRST RIGHT ANSWER WILL BEE MARKED AS BRAINLEIST
Answers
Answer:
D 9
Step-by-step explanation:
1 ribbon ---- 2/3 yards
x ------ 6 yards
6 * 1 = 2/3 * x
6 = 2/3 x
18/2 = x
x = 9
9 ribbons can be cut from 6 yards of ribbon
find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
Answers
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
How to find missing angle of a right triangle given 2 sides
Answers
Answer:
As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.
If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.
what is the distance of E(7.3) and F (-2,6)
Answers
An(5.4)
Step-by-step explanation:
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answers
Answer:
5
Step-by-step explanation:
Start with 9. Then do the opposite operation starting from the end.
9
√9 = 3
3 - 1 = 2
2 × 6 = 12
12 - 7 = 5
Answer: 5
i need geometry help...
Answers
Hope this helps
PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER
Answers
Answer:
for line b - the slope is 0, not undefined. an undefined slope is a vertical line.
for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.
2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me
Answers
2b - 37 = 152 - 5
2b - 37 = 147
2b = 147 + 37
2b = 184
b = 92
the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost
Answers
Answer:
48
Step-by-step explanation:
First find the amount of the markup
40 * 20%
40 *.2
8
Add this to the original price
40+8 = 48
Sundas is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, х T(x) 4 7.50 6 9 9 11.25 10 12
Answers
Brainliest please if correct
the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.
Riley and Rhoda plan to buy several bags of dog food and a dog collar. each bag of food cost $7, and the dog collar cost $5.
Answers
Answer:
matters on amount of dog food bought
Step-by-step explanation:
12 for 1 bag
19 for 2 bags
26 for 3 bags
33 for 4 bags
7.90×10^−2/1.0×10^−5
Answers
Answer:
[tex] \frac{7.90 \times {10}^{ - 2} }{1.0 \times {10}^{ - 5} } \\ = 7.9 \times {10}^{5 - 2} \\ = 7.9 \times {10}^{3} [/tex]
Which is the function represented by the table?
Answers
Answer:
its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.
Answer:
f(x) = - 2x + 1
Step-by-step explanation:
The equation of a linear function in slope- intercept form is
f(x) = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = [tex]\frac{-3-3}{2-(-1)}[/tex] = [tex]\frac{-6}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The function crosses the y- axis at (0, 1 ) ⇒ c = 1
f(x) = - 2x + 1
+ 1 x 4
2-
ax + b
can be written as a single fraction in the form
X2 x + 2
x² - 4
where a and b are integers.
x+ 2 x -
Work out the value of a and the value of b.
Answers
[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]
so : a = 3 b = -18
ok done. Thank to me :>
1. The diameter of each tire on a model car is 10.668 mm. The actual diameter of a car's tire is 5.29 X 102 mm. About how many times larger is the actual diameter of a car tire than the diameter of the tire on the model car? A 5 times B 50 times +90 100 times D 500 times
Answers
The number of times the actual diameter is larger than the model is 50 times.
A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.
In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.
5.29 x 10² ÷ 10.668
529 ÷ 10.668
= 49.6
= 50 times
Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859
4(x + 3) + 3x = 24
Step by step please
Answers
Answer: 12/7
Step-by-step explanation: steps in pic, hope this helps!
Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D.
Answers
Answer:
D. Convergence hope it helps
What will balance two spheres?
RIGHT ANSWER GETS BRAINLIEST PLS HELP
Answers
Answer:
1 cylinder
Step-by-step explanation:
cylinder is x, cube is y, and sphere is z
x+y=6z
2x=y
plug in
3x=6z
x=2z
cylinder
How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre
Answers
Answer: 23.75
Step-by-step explanation:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
pls help me out quick,
Answers
Answer:
Step-by-step explanation:
1. 2x + 3y = 1,470
–2x –2x
3y = –2x + 1,470
3y/ 3 = –2x/3 + 1,470/3
y = –2x/3 + 490
The y-intercept of this equation is 490 and the slope is -2x/3.
2. I would graph this line by finding the y-intercept 490 first.
Then, you would move down twice from 490 to 488.
Finally, you would move to the right 3 times.
3. F(x) = –2x/3 + 490
The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.
Which of the following is 3.761 written in expanded notation?
A) (3 x 1) + (7 x 110) + (6 x 1100) + (1 x 11000)
B) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)
C) (3 x 1) + (7 x 110) + (1 x 1100) + (6 x 11000)
D) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)
WORTH 40 POINTS
Answers
Answer:
To write a number in expanded form, divide it into digits and display the value of each one. As a result, 144 would be 100 + 40 + 4 = 144.
Step-by-step explanation:
which number is closest to 0.02
A. 0.019
B. 0.04
C. 0.1
D. 0
Answers
Answer: 0.019
Step-by-step explanation: 0.019 is the only closest number to 0.020, others are much less than 0.020.