Answer:
a) Given that w=81 and k = 0.375 then r = 6
b) Given that s=27 and k = 224 then w=32
Step-by-step explanation:
Step(i):-
Given that W varies directly as r³
⇒ w∝r³
⇒ w = kr³
where 'k' is proportionally constant
given that w= 24 and r =4
⇒ 24 = k (4)³
⇒ k = [tex]\frac{24}{64}[/tex]
⇒ k = 0.375
Step(ii):-
Given that W varies indirectly as 's'
w ∝[tex]\frac{1}{s}[/tex]
W =k [tex]\frac{1}{s}[/tex]
where 'k' is proportionally constant
28 = k ([tex]\frac{1}{8}[/tex])
k = 28 × 8 = 224
Step(iii):-
a) Given that w=81 and k = 0.375
w = kr³
81 = 0.375 (r)³
r³ = 216
r = ∛216 =6
r =6
b)
Given that s=27 and k = 224
W =k [tex]\frac{1}{s}[/tex]
w = 224 ([tex]\frac{1}{27}[/tex])
w = 32
Please help
What is the circumference of a circle with a diameter of 14 centimeters?
centimeters
(Use 3.14 for Pi.)
Answer:
43.96 cm
Step-by-step explanation:
Given
diameter (d) = 14 cm
Circumference (C)
= πd
= 3.14 * 14
= 43.96 cm
In 1989 the population of Arizona was 3,622,184. In 1999 the population was 4,778,332. What is the percent of change from 1989 to 1999?
. In a group of 37 people waiting in line at the local java house, 18 wanted to order a cappuccino, 20 wanted to
order a latte, and 2 wanted neither of these drinks. How many wanted to order both a cappuccino and a latte?
Answer:
36
Step-by-step explanation:
Its 36 because normally someone would do 18+20=38 but you have to remeber in the problem it says 37! so 2 people didn't want anything, minus that and you get 36.
Which expression is equivalent?
Answer:
y⁸/x¹⁰
[tex] \\ [/tex]
Step-by-step explanation:
[tex] \sf{\large{( \frac{ {x}^{ - 4}y }{ {x}^{ - 9} {y}^{5} } ) ^{2} }}[/tex]
[tex] \large{ \sf{= \frac{ {x}^{ - 4 \times 2} {y}^{2} }{ {x}^{ - 9 \times 2} {y}^{5 \times 2} } }}[/tex]
[tex] \large{ \sf{= \frac{ {x}^{ - 8} {y}^{2} }{ {x}^{ - 18} {y}^{10} } }}[/tex]
[tex] \large{ \sf{ = {x}^{ - 8 - ( - 18)} {y}^{2 - 10} }}[/tex]
[tex] \large{ \sf{ = {x}^{ - 8 + 18} {y}^{ - 8} }}[/tex]
[tex] \large{ \sf{ = {x}^{10} {y}^{ - 8} }}[/tex]
[tex] \large{ \sf{ = \frac{ {x}^{10} }{ {y}^{8} } }} [/tex]
[tex] \large{ \sf{ = \frac{ {y}^{8} }{ {x}^{10} } }}[/tex]
I am not understanding this topic in math and I have a huge test tomorrow, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️
Molly is training for a race and is running 4 miles each week for the next 12 weeks.If molly already ran 1 3/5 mile on the first day of the week,how many more miles does she need to run in order to reach her goal for this week?
Plz help
Answer:
2.4 miles or 2 2/5
Step-by-step explanation:
All the explanation is in the picture!
Hope this helps!
-TheAnimeCatUwU
#LearnWithBrainly
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
x = 70
Step-by-step explanation:
As the problem states, ∠ABD and ∠DBC are supplementary angles. This means they have a sum of 180°. Since we know this, we can set up an equation to solve for x.
x + 110 = 180
x = 70
7,1,9,14 what is the average age servers at the zoo? What is the variance
Some people believe there are too many taxes and that tax rates
are too high. They refuse to file tax returns or pay taxes because
they disagree with how the government spends the money. Do you
agree with these arguments? Why or why not?
Answer:
Step-by-step explanation:
(This is technically a personal opinion question) In MY opinion all government run things from libraries to schools to the military come from taxes. If you don't agree with how the government spends the money that you pay in taxes yet enjoy/use government facilities then you have no room to complain and not pay your taxes.
i am a parent and needhelp with this 11 + 3(9 − 6) − 4
Answer:
i'm sure its 16
Step-by-step explanation:
HELP PLESE WILL GIVE BRAINLIST
Answer:
shed height = 12 feet
shed width = 28 feet
Step-by-step explanation:
3/4"=3' then 1"=4'
3" tall=4x3"=12'
7" wide=4x7"= 28'
Evaluate 42 – a² + ab for a = 6 and b = 5.
Answer:
42-a²+ab
42-6²+6×5
42-36+30
6+30
36.
Leeza’s aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Which inequality can determine out how many more gallons she might put in the tank?
Answer:
The inequality that will be used would be
x + 22 <= 55
es perpendicular 3x+y-9=0 y pasa por el origen (0, 0).
Answer:
[tex]y = \frac{1}{3} x[/tex]
Step-by-step explanation:
Una recta que es perpendicular a la pendiente de una ecuación es la recíproco negativo. de l
a ecuación original.
Primero, este problema está en forma estándar, así que conviértalo a la forma de intersección de pendiente
[tex]3x + y - 9 = 0[/tex]
[tex]3x + y = 9[/tex]
[tex]y = 9 - 3x[/tex]
[tex]y = - 3x + 9[/tex]
Ahora encuentre el recíproco negativo de la pendiente que es -3x
[tex] \frac{ - 3}{1} [/tex]
[tex] - ( - \frac{3}{1} [/tex]
[tex] \frac{1}{3} [/tex]
La pendiente es 1/3, así que sepa que introduzca 0 para nuestro valor X para encontrar nuestro valor y
[tex]y = \frac{1}{3} x[/tex]
[tex]y = \frac{1}{3} (0)[/tex]
y=0
0,0
Pls help with math it’s due tonight
Answer:
0.5+8
Step-by-step explanation:
The slope intercept form is mx+b
Mx is the slope
b is the y intercept
The slope formula is y2-y1/x2-x1
2 points to find the slope:
(2,9) (4,10)
10-9=1
4-2=2
1/2=0.5
The y-intercept is the number that goes through the number line when x equals 0. The y intercept is 8.
absolute value for |27 1/4|
Answer:
27 1/4
Step-by-step explanation:
Find the missing length for #11. Please help!
Answer:
x=16
Step-by-step explanation:
so you know that the other side of the right traingle is 15
so x2+18x+81=225+144+x2
18x=288
x=16
The polynomial 4x2 - 16 is a difference of squares.
True
False
Michaela buys 2 cartons of eggs at $1.58 a carton, 4 pounds of ground turkey at $6.99 a pound, and a jar of
strawberry jam for $4.38. She gives the cashier four $10 bills.
Answer:
your answer is 4.50. the total of cartons eggs is 3.16+ the total of turkey 27.96+ the jar 4.38= 35.50 now we can do the math 40-35.50= 4.50. I hope it helps!
Step-by-step explanation:
it is
4.50
why os ot because 9 did the math
Use the triangle below to find cos V.
Answer:
[tex]cos\ V = \frac{2\sqrt{29}}{29}[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find cos V
In trigonometry:
[tex]cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]
In this case:
[tex]cos V= \frac{TV}{UV}[/tex]
Where
[tex]TV = 6[/tex]
and
[tex]UV^2 = TV^2 + TU^2[/tex] -- Pythagoras
[tex]UV^2 = 6^2 + 15^2[/tex]
[tex]UV^2 = 261[/tex]
Take square roots
[tex]UV = \sqrt{261[/tex]
[tex]UV = \sqrt{9*29[/tex]
[tex]UV = \sqrt{9} *\sqrt{29[/tex]
[tex]UV = 3\sqrt{29[/tex]
So:
[tex]cos V= \frac{TV}{UV}[/tex]
[tex]cos\ V = \frac{6}{3\sqrt{29}}[/tex]
[tex]cos\ V = \frac{2}{\sqrt{29}}[/tex]
Rationalize:
[tex]cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}[/tex]
[tex]cos\ V = \frac{2\sqrt{29}}{29}[/tex]
If LM = 6, what is the perimeter of △PKQ?
Answer:
KM=LN Given
KM=KL+LM Segment Addition Postulate
LN=LM+MN Segment Addition Postulate
KL+LM=LM+MN Substitution Property of Equality
KL=MN Subtraction Property of Equality this is the formula :)
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
3/(3+x-6)=5/(5+x)
cross multiply
3(5+x)=5(3+x-6)
15+3x=15+5x-30
15+3x=5x-15
15+15=5x-3x
30=2x
x=15
That means KQ=15 and PK=15-6=9. Now we have to find PQ, which is the same as JM. We’ll call that length b.
5/15=6/b
cross multiply
5b=90
b=18
15+9+18=42
convert 60g : 5kg to simplest form
Answer:
I'm not sure but I think u should divide and get 12 kg I am so unsure so pls make sure if it's correct.
Answer:
1/12
Step-by-step explanation:
5/60 divide both sides by 5 is equal to 1/12
Find the coordinates of the point that is located 8 units below the x-axis and 3 units to the left of the y-axis
A carpet salesman sold 5,000 yards of carpet in one month at an average of $3 per yard. His commission was 16%. How much money did he make that month?
Answer:
5000x3.00= total sales 15000 x 16% or.16
= 2400
Step-by-step explanation:
1.Find Gross Sales
2. Get retail sales 3.00 x 5000
3. Total Sales times commission 15000 x .16
Dracula is taking a typing speed test. The number of words typed W, is determined by the equation W = 23m, where mis minutes. What is the constant of proportionality?
What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)
Given:
The point [tex]P\left(\dfrac{3}{4},\dfrac{5}{12}\right)[/tex] divides the line segment joining points [tex]A\left(\dfrac{1}{2},\dfrac{3}{2}\right)[/tex] and [tex]B(2,-5)[/tex].
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Let point P divides the segment AB in m:n. Then by using the section formula, we get
[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)[/tex]
[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}[/tex]
[tex]\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}[/tex]
Multiply both sides by 4.
[tex]3(m+n)=2(4m+n)[/tex]
[tex]3m+3n=8m+2n[/tex]
[tex]3n-2n=8m-3m[/tex]
[tex]n=5m[/tex]
It can be written as
[tex]\dfrac{1}{5}=\dfrac{m}{n}[/tex]
[tex]1:5=m:n[/tex]
Therefore, the point P divides the line segment AB in 1:5.
I need help with this problem answers is right there but show me how to get that answer
A wedding at Boone Hall Plantation costs $22,200 for 120 people. How much does Boone Hall charge per guest?
Answer:
$185 per person
Step-by-step explanation:
22,200/120=185
2.3.33
Find the zeros of the following quadratic function by completing the square. What are the x-intercepts of the graph of the function?
f(x) = x2 + 12x - 72
Solve 136 = 17b.
The solution is b=
Answer:
18
Step-by-step explanation:
5d/9=10
5d=10*9
5d=90
d=90/5
d=18