The equation of variation for the given situation is y = 5x.
Direct ProportionIn mathematics, a direct proportion is a comparison of two integers where the ratio of the two numbers equals a constant value. According to the concept of proportion, two ratios are in proportion when they are equal.
If a varies directly to b then the relation between them can represent as
=> a ∝ b
=> a = kb [ where 'k' is proportionality constant]
Here we have
y varies directly as x, this can be shown as
=> y ∝ x
=> y = kx ---- (1) [ Where 'k' is proportionality constant ]
Given that y = 0.1 and x = 0.5
Substitute the above values in (1)
=> 0.1 = k(0.5)
=> k = 0.5/ 0.1
=> k = 5
(1) => y = 5x
Therefore,
The equation of variation for the given situation is y = 5x.
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. Find the sum of the infinite series, if it exists.
-270+135-67.5+⋯
Answer:
-180
Step-by-step explanation:
135/-270 = -1/2
67.5/135 = -1/2
The series is an infinite geometric series with r = -1/2
Since -1 < |r| < 1, the series has a sum
and equals a/(1 - r) a = -270
S = a/(1 - r) = -270/(1 + 1/2) = -270/(3/2) = -180
What angles are congruent and opposite each other when lines intersect
Answer:
Vertical angles.
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
The second box is the answer
Step-by-step explanation:
Solution
V=whl=5·5·5=125
please help me find the missing angles for each problem
Answer:
1) L1 = 123
L3 = 57
2) L1 = 49
L3 = 131
3) L2 = 116
L4 = 64
4) L1 = 108
L2 = 72
5) L3 = 69
L4 = 111
6) L3 = 124
L4 = 56
The graph of a quadratic function is shown below
Which statement about this graph is not true?
aThe graph has an axis of symmetry at x=-3
bThe graph has a y-intercept at (0,0)
cThe graph has a maximum point at (-3,-3)
dThe graph has an x-intercept at (-6,0)
Answer:
c, the graph has a maximum point at (-3,-3)
.Distribute and combine like terms: −4(7r + 7)
Answer:
−28r−28
Step-by-step explanation:
−4(7r+7)
=(−4)(7r+7)
=(−4)(7r)+(−4)(7)
HELP ASAP!! A recipe calls for 2.3 cup of milk. if you make 3 1/2 times the recipe, how much milk do you need?
the question is find the product of -8 and the sum of -2(10x + 3y) and -5(6y -7x)
Answer:
Step-by-step explanation:
-2(10x + 3y)
-20x -6y [-2 multiplied by 10x = 20x, negative + positive = negative]
-5(6y -7x)
-30y + 35x
-20x -6y -30y +35x
35x - 20x -30y -6y
15x - 36y
Answer = 15x -36y
Answer:
- 120x + 288y
Step-by-step explanation:
Begin by summing the 2 expressions
- 2(10x + 3y) - 5(6y - 7x) ← distribute parenthesis
= - 20x - 6y - 30y + 35x ← collect like terms
= 15x - 36y
Now multiply the result by - 8
- 8(15x - 36y) ← distribute
= - 120x + 288y
An iphone costs $1000 and is on sale for 20% off
What is the volume of this rectangular prism?
Jasper built a dollhouse for his younger sister.
A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)
Answer:
It's A :)
Also can i please have brainliest :)
Answer:
A
Step-by-step explanation:
Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3
Answer:
f(x) = 4x^2 - 13
Step-by-step explanation:
f(x)=4(x-2)^2 + 3 parentaties first
f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties
f(x) = 4x^2 - 16 + 3 combine light terms
f(x) = 4x^2 - 13 Answer
Hope I helped :)
PLEASE HELPP ILL GIVE BRAINLIEST
NO LINKS PLEASE HELP A bag containing 35 marbles has red and green marbles. If the ratio of green marbles to red marbles is 2 to 5, how many green marbles are in the bag
O 25
O 14
21
10
Van kept track of the number of hours that he spent at the
pool each week for several weeks. He spent 6, 2, 6, 3, and
3 hours.
What is the mean number of hours that Van spent at the pool each week?
A. 20 hours
B. 4 hours
C. 3 hours
D. 5 hours
Answer:
B. 4 hours
Step-by-step explanation:
add every number up
6+2+6+3+3= 20
then divide by the number of numbers you used to add with.
20÷5=4
4 hours
PLEASE HELP GEOMETRY !!!!!
Answer:
x = 11.5
Step-by-step explanation:
[tex] \sin \: 35 \degree = \frac{x}{20} \\ \\ x = 20 \sin \: 35 \degree \\ \\ x = 11.471528727 \\ \\ x = 11.5[/tex]
5) Write the 5 number summary and draw a box and whisker plot.
58, 67, 44, 72,51, 42, 60, 46, 69
Answer:
Mean: 56.55
Median: 58
Minimum: 42
Maximum: 72
Q1: 45
Q2: 58
Q3: 68
IQR: 23
Range: 30
find the value of each variables
Answer:
X=11
y=22
Step-by-step explanation:
[tex]tan60\frac{11\sqrt{3} }{x} \\\\\sqrt{3} =\frac{11\sqrt{3} }{x} \\\\x=\frac{11\sqrt{3} }{\sqrt{3} }[/tex]
⇒x=11
[tex]Sib 60=\frac{11\sqrt{3} }{y} \\\\\frac{\sqrt{3} }{2} =\frac{11\sqrt{3} }{y} \\\\y=\frac{11\sqrt{3} }{\sqrt{\frac{3}{2} } }[/tex]
⇒ y=22
hope it helps....
Match the description to the appropriate term.
internal energy
heat
thermal energy
Answer:
I got all right. Thanks.... ❤️
3x+5y=27.50 & 6x+3y=27
I love you
Answer:
what do u want me to do withthis question
can u edit then I’ll edit
Step-by-step explanation:
Solve the following quadratic equations using factoring.
a. x2 + 10x + 24 = 0
Answer:
x = - 6, x = - 4
Step-by-step explanation:
Given
x² + 10x + 24 = 0 ← in standard form
(x + 6)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 4 = 0 ⇒ x = - 4
What is 30326.4 rounded to the nearest tenth?
Answer:
30326.4 rounded to the nearest tenth is 30326.4
Step-by-step explanation:
There is no hundredth to change the .4 it is already good as it is.
Which is the vertex point of the equation y = (x - 1)2 - 16
Answer:
The vertex is at (h, k), which here is (1, -16).
Step-by-step explanation:
Compare the given y = (x - 1)2 - 16 (which should be y = (x - 1)^2 - 16 )
to y = (x - h)^2 - 16.
We can readily see that h = 1 and k = -16.
The vertex is at (h, k), which here is (1, -16).
A triangle has vertices at A(-6, -3).
B(1,5), and C(4. -4). The triangle is
dilated according to the
transformation below. The center of
dilation is the origin.
(x, y) → (2x, 2y)
What are the vertices of the image of
the triangle?
Answer:
I ca
Step-by-step explanation:
can't type so the first one.
1. Determine the lateral and total surface
area of the pyramid.
(I need full explanation on how to solve
Answer:
Laterial surface area: 73 cm²Total surface area: 93 cm²Step-by-step explanation:
The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.
The laterial surface area LSA is:
LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)
LSA = 4 • 8 + 5 • 8.2
LSA = 73 cm²
The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:
SA = LSA + 4 • 5
SA = 73 cm + 20 cm²
SA = 93 cm²
What is the angle relationship?
Answer:
z = 15 degrees, 5z = 75 degrees
Step-by-step explanation:
AYB is 180 degrees
CYD is 90
so the two missing angles sum to 180 - 90 = 90
z + 5z = 90
6z = 90
z = 15
5z = 75
[tex](\frac{v^2-49}{20v^3} )(\frac{4v^2-24v}{v^2+v-42} )[/tex]
I will give brainiest to answer with explanation.
Correct answer is
[tex]\frac{v-7}{5v^2}[/tex]
9514 1404 393
Answer:
(v -7)/(5v^2)
Step-by-step explanation:
Cancel common factors from numerator and denominator.
[tex]\dfrac{v^2-49}{20v^3}\times\dfrac{4v^2-24v}{v^2+v-42}=\dfrac{4}{20}\cdot\dfrac{(v-7)(v+7)(v)(v-6)}{v^3(v+7)(v-6)}\\\\=\dfrac{1}{5}\cdot\dfrac{v-7}{v^2}\cdot\dfrac{v(v+7)(v-6)}{v(v+7)(v-6)}=\boxed{\dfrac{v-7}{5v^2}}[/tex]
find a single discount equivalent to two successive discount of 20% and 5%
Answer:
Let the marked price =Rs100
After a discount of 20%, the price = 100−20% of100 = 100−10020×100 = 100−20=80
After a further discount of 5%, price = 80−5% of80 = 80−1005×80 = 80−4 = Rs76
Final Selling = Rs76
Total Discount = 100−76=Rs24
Thus, discount % = 10024×100 = 24%
A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.
what two number multiply to 24 and add to -11
Answer:
8 and 3
Step-by-step explanation:
Brainliest Please
Answer:
One example is x = -8, y = -3
Step-by-step explanation:
Lets make a system of equations.
Let x be the first number and y be the second.
x * y = 24
x + y = -11
Solve for x and substitute.
x = 24/y
24/y + y = -11
24 + y^2 = -11y
y^2 + 11y + 24 = 0
Factor.
(y + 8)(y+3) = 0
So one example is x = -8, y = -3
can any body help me with Factoring
Answer:
Sure I would love to help you with factoring
Mark my answer as brainliest and I shall help you