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
You are buying carpet to cover a room that measures 38 ft by 40 ft. The carpet
cost $18 per square yard. How much will the carpet cost?
Answers
Answer:
27360
Step-by-step explanation:
38x40=1520
1520*18=27360
If you had -$10 last week and -$8 this week, how do those two numbers compare? Explain what the inequality means in relation to the positions of these numbers on the number line. For which week did you have the greater debt?
PLEASE HELP!!
I NEED FOR DBA !!
WILL GIVE BRAINLIEST AND RATING
AND WRONG ANSWERS OR LINKS WILL BE REPORTED
Answers
We compare the two numbers by finding their difference. If we subtract -8 from -10, we get 2, because 10-8 = 2. We put this positive result next to the negative number on the number line above it (-10) to see how it compares to -8.
The greater debt is represented by the smaller number on the number line, so if you had -$2 last week and -$8 this week, you are in a better position financially.
Answer:
Tje answe kdn 8
Step-by-step explanation:
Write 9 2/3 as a inpropper fraction
Answers
9/1 x3/3 = 27/3
27/3 + 2/3 = 29/3
Answer:
29/3
Step-by-step explanation:
hopes this helps :)
How do you write 7,700,000 in scientific notation?
Answers
Answer:
7.7 × [tex]10^{6}[/tex]
Step-by-step explanation:
Start off with finding the digits in this case it would be 7,700,000
Now insert a decimal so that it is a number under 10.
That would be 7.7
to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.
It would take 6 "jumps" to end up back to 7,700,000
Now that we have that information we can make the scientific notation
1) Take the number (7.7)
2) Multiply the number by 10 with the exponent of "jumps"
Thus,
7.7 × [tex]10^{6}[/tex]
In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV
Answers
Answer:
III
Step-by-step explanation:
go 14 left and 5 down, and you're in the third quadrant
Answer:
III (Third quadrant)
Step-by-step explanation:
Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant. Hope this helps! :)
If f (x) = -2x^2 + 3 then f (-3) =
1. -15
2. 21
3. 39
4. -18
Answers
Answer:
-15
Step-by-step explanation:
put f(-3)=-2*(-3)^2+3
solve by factoring x^2+5-14=0
Answers
Answer:
Factored -> (x+7)(x-2)
Step-by-step explanation:
If you are solving for x then its x= -7, x=2
What is an equation of the line with the slope -3 and a y intercept of 5? 1. Y=-3(x+5) 2. Y-5=-3x 3.-3x+y=5 4. Y=5x-3
Answers
Answer: Option 2
Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.
the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area
Answers
Answer:
perimeter =20cmbreadth=2cmlength=?we know that
perimeter =2*(l+b)
20=2*(l+2)
20=2l+4
2l=20-4
2l=16
l=16/2
l=8
Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm
Answers
Answer:
936 cm²
Step-by-step explanation:
The surface area is the sum of all the faces.
The base is a rectangle with
area = 24 × 7 = 168 cm²
The back is a rectangle with
area = 18 × 7 = 126 cm²
The sloping face is a rectangle with
area = 30 × 7 = 210 cm²
The 2 triangular faces are congruent with
area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then
area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²
Then
surface area = 168 + 126 + 210 + 432 = 936 cm²
of a line in point slope form
Answers
m = (Y2 - Y1)/(X2 - X1)
m = (-2 - 1)/(4 - 7)
m = -3/-3
m = 1
pls help will mark as brainlist
Answers
Step-by-step explanation:
total angle= 360°.
sides = 360/36 = 10 (decagon).
total angle= 360°
sides = 360/120 = 3(triangle).
hope this helps you to.
In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?
Answers
Answer:
34 boys
Step-by-step explanation:
you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34
answer and please show work.
Answers
Slope is equal to the change in y over the change of x, or rise over run.m=change in y / change in x
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m= y2-y1/x2-x1.
Substitute in the values of x and y into the equation to find the slope.
m =-4 -(7)/ -6 -(-4)
Simplify.
m=11/2.
if a ll b and line c is perpendicular to line a then line b and c are?
Answers
Answer:
perpendicular
Step-by-step explanation:
Answer:
Perpendicular
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!! i will give brainliest.
Answers
Answer:
y = 6; x = 12
Step-by-step explanation:
If the triangles are congruent , then their sides are corresponding.
AB ≅DE DE≅ AC
7 = 2y - 5 3x - 13 = 11 + x
7 + 5 = 2y 3x - x -13 = 11
12 = 2y 2x - 13 = 11
6 = y 2x = 11 + 13
2x = 24
x = 12
AB=DE
[tex]\\ \sf\longmapsto 2y-5=7[/tex]
[tex]\\ \sf\longmapsto 2y=12[/tex]
[tex]\\ \sf\longmapsto y=6[/tex]
DF=AC.[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]
[tex]\\ \sf\longmapsto 2x=24[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
AC=DF=23Diagram attached
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.
Answers
Answer:
x= 5
Step-by-step explanation:
am isosceles triangle has 2 sides equal i.e the legs.
sales tax is 7% what is the amount of sales tax you would pay this bill
Answers
% means per 100
so when figuring out percents it's good to use 100
so
on $100 7% would mean $7
on $50 7% would mean $3.5
in $200 7% would mean $14
-3(u+4)-2u=2(u+1)
a) no solution
b) u=
c) All real numbers are solution
Answers
Answer: u = -2
Step-by-step explanation:
-3(u+4)-2u=2(u+1)
-3u-12-2u=2u+2
-5u-12=2u+2
-7u = 14
u = -2
NEED ANSWER ASAP!
Write an equation, in the form y = mx + b, that shows the linear relationship between the x and y values in the table.
Table: Below
Answers
Answer:
y = -5 + 2
Step-by-step explanation:
We can use change in y over change in x to find slope:
[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]
So, our slope (aka m) is -5.
For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b
y = -5x + b
-8 = -5(2) + b
-8 = -10 + b
2 = b
And there is our equation,
y = -5 + 2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Help I need this quick!!
Answers
T(2) = 3(2)³ - 2(2)² - 6(2) - 5
T(2) = 3(8) - 2(4) - 12 - 5
T(2) = 24 - 8 - 17
T(2) = 16 - 17
T(2) = -1 (B.)
The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.
Answers
Answer:
base = 10cm and height = 10cm
Step-by-step explanation:
base + height = 20
base = height = 20/2= 10cm
Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2
Answers
Answer:
2^2 + i^2 or 4 + i^2 (depending if the teacher wants it simplified or not)
Step-by-step explanation:
(2+i)^2
Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.
It costs $11 for 15 granola bars.
What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?
Answers
Answer:
0.73
Step-by-step explanation:
Please can I have help on this?
Answers
Answer:
9 :)
Step-by-step explanation:its 9
f(1) = 4
f(x) = f(x-1) + 3
Find f(2)
Answers
f(2)= f(2-1)+3
f(2)=f(1)+3
[ READ ATTACHMENTS ] !!! [ HELP ME ASAP PLEASE!! ]
A.) $4,000
B.) $5,100
C.) $4,100
D.) $3,900
Answers
Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100
PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?
Question 1 options:
Slope = 2, y-Intercept = -4
Slope = -2, y-Intercept = -4
Slope = 1, y-Intercept = 2
Slope = -1, y-Intercept = 2
Answers
Answer:
Y-Intercept would be 2, Slope would be 1
Step-by-step explanation:
93 is what percent of 300
Answers
[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]
[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]
[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]
[tex]\sf \longmapsto \: 31\%[/tex]
(X-3)(X-12)
Expand and simplify
Answers
Answer:
x^2-15x+36
Step-by-step explanation:
x(x-12)-3(x-12)
x^2-12x-3x+36
x^2-15x+36
Answer: X^2 -15x + 36
Step-by-step explanation:
(X-3) (x-12)
Multiply each term in the first bracket by each term in the second bracket
X^2 -12x -3x + 36
Collect like terms
X^2 -15x + 36