Answers
Answer:
B. p varies inversely as r
Step-by-step explanation:
Since, p varies directly as q
[tex] \therefore p\:\:\alpha \:\:q\\
\therefore p= kq.. (k = constant)... (1)\\
[/tex]
Since, q varies inversely as r
[tex] \therefore q\:\:\alpha \:\:\frac{1}{r} \\
\therefore q= \frac{k}{r} .. (k = constant)... (2)\\
[/tex]
From equations (1) & (2)
[tex] p = k\times \frac{k}{r}\\
p = \frac{k^2}{r}\\
p\:\:\alpha \:\: \frac{1}{r}\\
[/tex]
Hence, p varies inversely as r.
Related Questions
In the diagram, what is the measure of WRS?
O 5°
O 7.5°
O 25°
O 37.5°
Answers
Answer : The measure of ∠WRS is 25°.
Step-by-step explanation :
As we know that vertically opposite angles are always equal.
In the given figure,
∠VRT = ∠WRS = (5x)° (Vertically opposite angles)
And we know that the sum of all angle in a straight line is equal to 180°.
So,
∠TSR + ∠WRS = 180°
Given: ∠TSR = (25x + 30)°
∠TSR + ∠WRS = 180°
(25x + 30)° + (5x)° = 180°
30x + 30° = 180°
30x = 180° - 30°
30x = 150°
x = 5°
∠WRS = (5x)° = (5 × 5)° = 25°
Therefore, the measure of ∠WRS is 25°.
Answer: 25°
Step-by-step explanation:
Easy peasy go bedsy
Select the correct answer. There are 96 strawberries in a basket. Each of 12 children received an equal number of the strawberries. Which equation gives s, the number of strawberries each child received? A. s + 12 = 96 B. s × 12 = 96 C. s + 96 = 12 D. s × 96 = 12
Answers
Answer:
The answer is B(s*12=96)
Can anyone help me solve this question
Answers
9514 1404 393
Answer:
a=2√2+4b = 3Step-by-step explanation:
√24 = 2√6
√48 = 4√3
Then the sum is ...
√24 +√48 = 2√6 +4√3
Factoring out √3, we have ...
= (2√2 +4)√3
Matching this to the form a√b, we have
(2√2+4)√3 ⇒ a=2√2+4, b = 3
pleas help. I only have 3 minutes left and i really dont get it. An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)
Answers
Answer:
d a m n been 5 minutes
Step-by-step explanation:
wanna talk
The sum of the measures of the angles shown is 90°.
(5x)
(7x + 6)
10. Write an equation to determine the value of x.
11. Find the value of x.
Answers
Answer:
10). 5x + (7x + 6) = 90
11). x = 7
Step-by-step explanation:
From the picture attached,
Sum of given angles measures 90°
Measures of the angles are (5x)° and (7x + 6)°
Therefore, equation to determine the values of x will be,
5x + (7x + 6) = 90
By combining similar terms of the equation,
12x + 6 = 90
12x = 90 - 6
12x = 84
x = [tex]\frac{84}{12}[/tex]
x = 7
Therefore, by solving the equation value of x will be 7.
The area of a parallelogram is 5 cm Squared. explain why you can find the area without knowing the dimensions of the parallelogram. Please help quick!
Answers
Answer:
because a square always has the same length on each side so yo just see what number multiplies to that.
Step-by-step explanation:
4x+10y=70 in slope-intercept form
Answers
The length of on a cycle of a visible light wave is 0.000000000000002 seconds. Write this number in scientific notation.
Answers
Answer:
Hey!
Your answer is that 0.000000000000002 IS WRITTEN LIKE THIS IN SCIENTIFIC NOTATION : 2 × 10^-15 ( ^ means 'to the power of...')
Step-by-step explanation:
THERE ARE OTHER WAYS TOO!
2e-15 (scientific e notation)
BUT THE FIRST ONE I GAVE TO YOU WILL BE THE BEST!!
HOPE THIS HELPS!!
Answer:
2 × 10^-15
Step-by-step explanation:
what is the answer to this question: 1+2?
Answers
Answer:
3
Step-by-step explanation:
The answer is threeh it's a rather easy question
Answer:
3
Step-by-step explanation:
1 + 2 = 3
find three consecutive integers for which 3 times the sum of the first and the third is -342
Answers
Answer:
The integers are -58, -57, -56.
Step-by-step explanation:
The difference between two consecutive integers is 1.
If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.
Integers: x, x + 1, x + 2
The sum of the first and third is: x + x + 2
3 times the sum of the first and third is: 3(x + x + 2)
That product equals -342.
3(x + x + 2) = -342
3(2x + 2) = -342
Divide both sides by 3.
2x + 2 = -114
Subtract 2 from both sides.
2x = -116
Divide both sides by 2.
x = -58
x + 1 = -57
x + 2 = -56
The integers are -58, -57, -56.
Three boys were running around the track. The first can run 1 lap in 15 min. The second can run 1 lap in 25 min. and the third can run a lap in 10 min. If the boys start running at 12:45, what time will all 3 boys pass each other again?
Answers
Answer:
At 15:15
Step-by-step explanation:
Given,
the 1st boy can run a lap in 15 minutes
the 2nd boy can run a lap in 25 minutes
the 3rd boy can run a lap in 10 minutes
Now if they start running at 12:45,they will meet after the time which will be equal to the L.C.M. of their time need to run a lap.
[tex]L.C.M.[/tex] of 15,25 & 10 = 150
So,they will pass each other after 150 minutes or 2 hours & 30 minutes.
If we add it with 12:45 we'll get 15:15 or 3:15 pm
please help,, thankyou!
Answers
Answer:
Shown in the picture
[tex]:\implies\bf\:m+n=18\:\longrightarrow\:(I)[/tex]
[tex]:\implies\sf\:2mn=-24\:\longrightarrow\:(II)[/tex]
[tex]:\implies\bf\:mn=-12\:\longrightarrow\:(III)[/tex]
Answer - A :
[tex]:\implies\tt\:\dfrac{5}{3m}+\dfrac{5}{3n}[/tex]
[tex]:\implies\tt\:\dfrac{15(m+n)}{9(mn)}[/tex]
[tex]:\implies\tt\:\dfrac{15(18)}{9(-12)}[/tex]
[tex]:\implies\tt\:-\dfrac{15}{6}[/tex]
[tex]:\implies\:\boxed{\bf{\purple{-\dfrac{5}{2}}}}[/tex]
Answer - B :
[tex]:\implies\tt\:\dfrac{4}{m^2}+\dfrac{4}{n^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(m^2+n^2)}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(m^2+2mn+n^2-2mn)}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4[(m+n)^2-2mn]}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4[(18)^2-(-24)]}{(-12)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(324+24)}{144}[/tex]
[tex]:\implies\tt\:\dfrac{348}{36}[/tex]
[tex]:\implies\:\boxed{\bf{\orange{\dfrac{29}{3}}}}[/tex]
Which of the following statements is the most precise and correct to define a circle?
Answers
Answer:
THE SET OF ALL POINTS IN A PLANE THAT ARE THE SAME DISTANCE AWAY FROM SOME GIVEN POINT , WHICH WE CALL THE CENTER.
Step-by-step explanation:
What is the value ?....
Answers
Answer:
22
Step-by-step explanation:
y +2 = 2(x + 2)
Help pls
Answers
Please help me out! :(
Answers
By substituting each x and y value in respected equation and u will get the ans.
Hope this can help.
Is 4 to 7 the same as 7 to 4? explain why or why not
Answers
Answer:
Just say, "No, 7 to 4 is not the same as 4 to 7. I don't know why, but I just know because you taught me it wasn't."
Step-by-step explanation:
It worked for me lol
Answer:
4 to 7 is pretty much 4 divided by 7 which = 4/7 and 7/4 is 1 3/4. which is obviously greater. So they both equal different answers.
Step-by-step explanation:
no
Can i have brainliest
What is the absolute value of -|-9|
Answers
Answer:
|-|-9|| = 9
Step-by-step explanation:
I hoped this hope this helped
the answer is 9
what is the value of x (x+2)(x-3)=0
Answers
Answer:
x = 3 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
(x + 2) (x - 3) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
x - 3 = 0 or x + 2 = 0
Hint: | Look at the first equation: Solve for x.
Add 3 to both sides:
x = 3 or x + 2 = 0
Hint: | Look at the second equation: Solve for x.
Subtract 2 from both sides:
Answer: x = 3 or x = -2
HELP MEE PLZZZZ I DON'T UNDERSTAND THIS
Answers
Answer: Choice D. [tex]6.44 \times 10^{-4}[/tex]
========================================================
Work Shown:
We multiply the coefficients 9.2 and 7 to get 64.4, which is the same as 6.44*10^1 in scientific notation. When multiplying exponential expressions with the same base, we add the exponents
This is what the steps could look like
[tex]\left(9.2 \times 10^{-9}\right)\times\left(7 \times 10^{4}\right)\\\\\left(9.2\times7\right)\times\left(10^{-9} \times 10^{4}\right)\\\\\left(64.4\right)\times\left(10^{-9+4}\right)\\\\\left(6.44\times 10^{1}\right)\times\left(10^{-5}\right)\\\\6.44\times\left(10^{1}\times 10^{-5}\right)\\\\6.44\times\left(10^{1+(-5)}\right)\\\\6.44\times 10^{-4}\\\\[/tex]
The final result is in scientific notation as the coefficient c is restricted such that [tex]0 \le c < 10[/tex]
|-5| |-(-5) | Is this equal or which one is more ?
Answers
Answer:
Equal
Step-by-step explanation:
The absolute value of any number is the same as the value between the lines, but instead, it is positive. The lines (|x|)represent the amount of units/numbers |-5| and |-(-5)| is away from 0. They are both 5 numbers away from it, so it is equal.
Answer: Yes it is equal.
Step-by-step explanation:
when a number is an absolute, always assume it is possitive number.
Example: l-2l = 2 or l2l = 2
i hope that made sense.
Mikayla bought a bag of 84 pieces of candy and she wants to divide them up evenly and place into bags but doesn't won't more than 20 bags list the possible ways she can fill the bag
Answers
Answer:
[tex]1.0736 \times 10^{19}[/tex] ways
Step-by-step explanation:
Given that:
Mikayla bought a bag of 84 pieces of candy.
she wants to divide them evenly and place them into bag such that they are not more than 20 bags.
Therefore, the number of possible ways she can do that is ;
[tex]^{84}C__{20}[/tex]
= [tex]\dfrac{84!}{20!(84-20)!}[/tex]
= [tex]\dfrac{84!}{20!(64)!}[/tex]
[tex]= 1.0736 \times 10^{19}[/tex] ways
The possible ways she can fill the bag = [tex]1.0736 \times 10^{19}[/tex] ways
What is the value of 4s2+10 if s=9?
Answers
Answer:
Step-by-step explanation:
Is the 2 an exponent? if so:
Plug 9 into S
so rewrite as 4(9)^2+10=1306
If not: then 4(9)(2)+10= 82
Evaluate each expression. 6 ÷ 6 + z + x − y; use x = 2, y = 5, and z = 6
Answers
Answer:
4
Step-by-step explanation:
6/6+6+2-5=
can someone help me solve -2(8m+8)=-16
Answers
divide both sides of the equation by -2
8m+8 = 8
then cancel like terms on both sides
8m = 0
divide both sides by 8
m= 0
For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range.
Answers
Answer:
Vertex: (-3, -1)
Domain: All real numbers or (-∞, ∞)
Range: (-∞, -1]
Step-by-step explanation:
Quadratic Function: f(x) = a(bx - h)² + k
(h, k) is vertex
Step 1: Find vertex
f(x) = -2(x + 3)² - 1
h = -3
k = 1
Vertex = (-3, 1)
Step 2: Graph
When we graph, we should see our domain and range.
Domain is all x-values that can be inputted into the function.
Range is all y-values that can be outputted from the function.
Please help me choose if they are a yes or no.
Answers
Answer:
A)yes
B)yes
c)no
d)yes
e)yes
f)no
Part A
Answer: YesThis is the same as saying 2(AB+BC). A more written out version is AB+BC+CD+DA, though it's not needed since the opposite sides are congruent (AB = CD and BC = DA)
====================================================
Part B
Answer: YesThe diagonals of any parallelogram bisect each other. They cut each other in half.
====================================================
Part C
Answer: NoThe adjacent sides of a parallelogram aren't always equal in length. It only happens when we have a rhombus.
====================================================
Part D
Answer: YesThe angles mentioned are alternate interior angles. They are congruent due to AD and BC being parallel.
====================================================
Part E
Answer: YesWe can use the SSS or SAS congruence theorem to prove these triangles are congruent.
====================================================
Part F
Answer: NoThese are adjacent angles that aren't always the same measure. Diagonal AC does not bisect angle DAB. This only happens if we had a rhombus.
Two angles that lie in the same plane are called ? If the share a common side and common vertex
Answers
I need help ASAP
First 6 multiples of 2: 2, 4, 6, 8, 10, 12
First 6 multiples of 4: 4, 8, 12, 16, 20, 24
What is the least common multiple (LCM) of 2 and 4?
A. 8
B. 12
C. 4
D. 6
Answers
Answer:
C) 14
Step-by-step explanation:
_______________
which of the following statements does not represent the same value as the others
the absolute value of negative 9
the absolute value of 9
the distance between 0 and -9
the opposite of 9
Answers
Answer:
the opposite of 9
Step-by-step explanation:
the absolute value of nagative 9, is positive 9.
the absolute value of postive 9, is postive 9.
the distance between 0 and nagative 9 on a line would be a count of postive 9.
the opposite of postive 9 is negative 9 (the only one with a diffrent outcome)