Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
Question 1 of 5
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answer:
It is A because it is pretty similar to the data set in the given dot plot.
Nina has 465 pennies in a jar. Daryl has 348 pennies in a jar. How many pennies do they have in all?
Answer:
813
Step-by-step explanation:
you add them together
Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is ...
Answer:
Y=1/2-10
Step-by-step explanation:
M=1/2 perpendicular
M1*M2=-1
How do you write 6.6 x 10-5 in standard form?
Answer:
.000066
Step-by-step explanation:
move decimal places five places to the left
There are only red counters, blue counters and purple counters in a bag.
The ratio of the number of red counters to the number of blue counters is 3 : 17
Sam takes at random a counter from the bag.
The probability that the
counter is purple is 0.2
Work out the probability that Sam takes a red counter.
Answer:
0.15
Step-by-step explanation:
R:B:P
3:17:4
20x0.2=4
0.2/4=0.05
P(R)= 0.05x3
P(R)=0.15
if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5
ensalada no son vulgares
What is 63.48 rounded off to 1 decimal place?
Answer:
63.5
Step-by-step explanation:
En una granja hay 26 corrales con una capacidad para 68 gallinas cada uno. Sí cada gallina pone un huevo cada día ¿cuántos huevos recolectan en una semana (7 días )?
Answer:
12376 huevos
Step-by-step explanation:
Son 68 gallinas en 26 corrales por tanta se multiplicaría
26 x 68=1768 estas serian el total de las gallinas en todos los corrales, aparte te dicen que cada pone un huevo al día, entonces como te piden cuantos huevos serán en 7 días sería:
1768 x 7= 12376
1768= a los huevos de cada gallina en un día ya que te dice que cada una pone un huevo en cada día.
Change to vertex form
1) f(x) = x² - 4x + 4
2) f(x) = -x ² + 8x-16
3) f(x) = 2x ²-x+3
4)f(x)=2x ²-3x-1
Answer:
- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
give me one secondddd..
Answer:
mark me as a brainleast
Step-by-step explanation:
iam not undeerstand on your qiestion write it beautiful words
Which of these is the lowest unit price for apples? $8.00 per 10-pound bag $21.40 per 3-pound bag $4.10 per 5-pound bag $.79 per pound Click on the correct answer.
Answer:
.79 cents a pound is the lowest unit price for apples
Step-by-step explanation:
NEED ANSWER(s)!!! THANK YOU!!!
Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)
B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level
Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level
If f(x)=x^2 is vertically stretched by a factor of 8 to g(x), what is the equation of g(x)?
A. g(x)= (1/8x)^2
B. g(x)= 8x^2
C. g(x)= (8x)^2
D. g(x)= 1/8x^2
Answer: 3x
Step-by-step explanation: just need points
if point (4,5) is on the graph of a function, which equation must be true?
Sarah buys a car for £23,000.
It depreciates at a rate of 3% per year.
How many years will it take to be worth less than £20,000?
Answer:
4.61 years
Step-by-step explanation:
hope it helped!
Victor also saw a jacket he liked while he was shopping. The jacket has a price tag of $75.00 and was marked for 30% off. How much money will the jacket cost after the sale?
Respuesta:
$ 52.5
Explicación paso a paso:
Dado
Costo de la chaqueta = $ 75
Mark off = 30%
Descuento = 30% de $ 75
Precio de descuento = 0,3 * 75
Precio de descuento = $ 22.5
Costo después de la venta = $ 75 - $ 22.5
Costo después de la venta = $ 52.5
Por lo tanto, el costo después de la venta es de $ 52.5
Calixto travels by train to a meeting in Barcelona. Barcelona is 270 km from where he lives.He catches the train at 9:45 a.m. The traintravels at anaverage speed of 120 km/hr.What time will the train arrive in Barcelona?
What time will the train arrive in Barcelona?
Answer: 12:00 pm or 1200hrs
Step-by-step explanation:
Time = distance/speed
270/120 = 2h 15min
= 2h 15min
Find value of x 4(x+6)° (5x+11)°
Value of x = 13°
Hope it helps you...
PLEASE HELP ASAP ILL MAKE BRAINLIEST
The table shows how many coins are in Joshua’s coin jar.
Joshua intends to blindly reach in to the coin jar, pull out the first coin he touches, record its value, and replace it. He will select a coin 50 times. Set aside the different coin sizes, and assume the size of the coin does not impact his ability to select it.
Enter the number of times a dime is expected to be pulled from the jar.
Answer:
10 times
Step-by-step explanation:
there are a total of 200 coins
each time he makes a selection the probability of selecting a dime is 40/200 or 1/5
if he makes 50 selections, the probability is 1/5(50) which is 10 times
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
A. (3x-2)^2
B. 5x-4y
5x=4y
Step-by-step explanation:
Quadrilateral qrst is a square what is pst
if QRST is indeed a quadrilateral, then, Check the picture below.
What is the image of (3,-5) after a dilation by a scale factor of 55 centered at the origin?
Answer:
7.789
Step-by-step explanation:
i got it right and
The formula sa
SA
6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side
of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
o
30-45 m
O V30-2V5
o 10 m
215 m
Answer:
The correct option is (b).
Step-by-step explanation:
The formula for the side of a cube of surface area SA is as follows :
[tex]s=\sqrt{\dfrac{SA}{6}}[/tex]
When SA = 180 m²
[tex]s=\sqrt{\dfrac{180}{6}}\\\\s=\sqrt{30}[/tex]
When SA = 120 m²
[tex]s=\sqrt{\dfrac{120}{6}}\\\\s=\sqrt{20}\\\\=2\sqrt5[/tex]
Difference,
[tex]=30-2\sqrt5[/tex]
So, the correct option is (b).
Decide whether each statement is true or false.
You are less likely to roll a 3 than a 4 on a die.
True
False
(I'm not good with probability..)
12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,
Answer:
[tex]\dfrac{x}{2}=25.5[/tex]
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
[tex]\dfrac{1}{2}x=25.5[/tex]
or
[tex]\dfrac{x}{2}=25.5[/tex]
Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Answer:
3:2
Explanation:
Let's call the trains A and B
Train A moves from Howrah to Patna in 9 hours
Train B moves from Patna to Howrah in 16 hours
Assuming it takes 30 miles to OR from each destination,
Then train A travels 30 miles in 9 hours
Train B travels 30 miles in 16 hours
Train A's speed is 30/9= 3.33 miles per hour
Train B's speed is 30/16= 1.88 miles per hour
Ratio of their speeds(approximately,train A to train B)= 3:2
Please help...redoing past papers so I need to cross-check with someone to see if they are correct
Answer:
4 < k < 12
Step-by-step explanation:
The given function is y = 2·x² + k·x + 2·k - 6
Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots
∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0
k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0
(k - 12)·(k - 4) < 0
∴ k < 12 or k > 4 given that by substitution, we have;
When k = 3 < 4
k² - 16·k + 48 = 3² - 16×3 + 48 = 9 > 0
Also the product of two negative numbers is larger than 0
Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12
please help me points and brainliest
Answer:
1/2
D
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] Same ratio. Both reduce to [tex]\frac{1}{2}[/tex]
what is 2+a, when a is 17?
Answer:
19
Step-by-step explanation:
If a=17, then:
2 + 17 = 19
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Have a great summer :)
The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle
Step-by-step explanation:
the answer is in the above image