Step-by-step explanation:
if you are writing it in an expression then
let raju's age be = x
let daughter be = y
x = 2 (5 × y)
x = 2 (5y)
x = 10y
so if daughter is 2 years old, then
x = 10(2)
x = 20 years
i need hell with this pleasee
A rectangular field is built next to a house and is enclosed by 400 m of fencing for the 3 remaining sides. Determine the dimensions of the field to maximize the area to nearest tenth of a metre.
Answer:
The dimensions of the field to maximise the area are 100 metres (width) and 200 metres (height).
Step-by-step explanation:
The formulas for the area ([tex]A[/tex]), measured in square metres, and the perimeter ([tex]p[/tex]), measured in metres, of the rectangle are, respectively:
[tex]A = x\cdot y[/tex] (1)
[tex]p = 2\cdot x +y[/tex] (2)
Where:
[tex]x[/tex] - Width, measured in metres.
[tex]y[/tex] - Height, measured in metres.
Note: We assume that height of the rectangle is parallel to the wall of the house.
By (2):
[tex]y = p - 2\cdot x[/tex]
In (1):
[tex]A = x\cdot (p-2\cdot x)[/tex]
[tex]A = p\cdot x - 2\cdot x^{2}[/tex] (3)
Then, we obtain its first and second derivatives by Differential Calculus:
[tex]A' = p - 4\cdot x[/tex] (4)
[tex]A'' = -4[/tex] (5)
By equalising (4) to zero, we find the following critical value for [tex]x[/tex]:
[tex]x = \frac{p}{4}[/tex]
And besides the Second Derivative Test, this solution is associated to an absolute maximum. Given that [tex]p = 400\,m[/tex], then the maximum area enclosed by fencing is:
[tex]x = 100\,m[/tex]
[tex]A = 20000\,m^{2}[/tex]
And the height of the triangle is:
[tex]y = 200\,m[/tex]
The dimensions of the field to maximise the area are 100 metres (width) and 200 metres (height).
In AABC, AB = CA and mZA = 110°. Find mZC.
Answer is 35 degrees
In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____.
Answer:
100°
Step-by-step explanation:
Anders Celsius used centigrade temperature scale along with mercury thermometers with a fixed boiling point of water at zero, he also used a fixed freezing point of water at the mark of 100-degree. This new scale was described in the year 1742 to Swedish Academy of Sciences.
Answer:
100 percent
Step-by-step explanation:
edge 2021
Divide 1 hour in the ratio 1 : 9 : 10
3 minutes; 27 minutes; 30 minutes
0.05 minutes; 0.45 minutes; 0.5 minutes
30 minutes; 27 minutes; 3 minutes
Answer:
3 minutes; 27 minutes; 30 minutes
Step-by-step explanation:
Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.
Therefore,
[tex]x + 9x + 10x = 1 \: hour \\ \\ 20x = 60 \: minutes \\ \\ x = \frac{60 \: minutes}{3} \\ \\ x = 3 \: minutes \\ \\ 9x = 9 \times 3 = 27 \: minutes \\ \\ 10x = 10 \times 3 = 30 \: minutes[/tex]
Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:
3 minutes; 27 minutes; 30 minutes
what is 2/5 x 6/7 as a fraction.
Answer:
12/35
please give me brainliest!
The product of the fractions is 12/35, or 2/5 x 6/7 as a fraction is equal to 12/35.
Given that we need to convert 2/5 x 6/7 in a fraction.
To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. In this case, you have:
(2/5) x (6/7)
Multiplying the numerators gives you 2 x 6 = 12, and multiplying the denominators gives you 5 x 7 = 35.
So, the product of the two fractions is: 12/35
Therefore, 2/5 x 6/7 simplifies to 12/35 as a fraction.
Learn more about Multiplication click;
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when adding a Positive, on the number line you move left or right?
Answer:
by adding. positive, you move towards right.
Answer:
Right
Step-by-step explanation:
when looking at a number line, you will see 0, and you will notice all numbers go from 0 to the right in an increasing manner, so it would be 0, then 1, then 2, then 3....
its the other way for negative numbers tho, so (from a line of negative numbers) -3, then -2, then -1, then 0
a good way to remember is to imagine a race, you want to gain progress and go further away from the start (0) so the RIGHT way to go would be UP the number line and INCREASE your progress
Can I have some help please?
See diagram below.
===========================================================
Explanation:
The highest point on f(x) is the vertex point since the leading coefficient is negative. The vertex is located at (h,k)
For the general parabola y = ax^2 + bx + c, we can define h to be
h = -b/(2a)
In this case, we plug in a = -2 and b = 8 to find h to be...
h = -b/(2a)
h = -8/(2*(-2))
h = -8/(-4)
h = 2
Then the value of k is equal to f(h). So we plug x = 2 into the f(x) function to get
f(x) = -2x^2 + 8x - 1
f(2) = -2(2)^2 + 8(2) - 1
f(2) = -2(4) + 8(2) - 1
f(2) = -8 + 16 - 1
f(2) = 8 - 1
f(2) = 7
This means k = 7
So the vertex for f(x) is at (h,k) = (2,7)
The max value of f(x) is f(x) = 7 which is the same as y = 7.
The graph shows the highest point is at (0,10). The highest point of g(x) is when y = 10. So this is the largest g(x) can get. We only are concerned with output values when we want to maximize whatever the function is.
Therefore, g(x) produces the larger maximum value compared to f(x).
We can see that if we were to graph both f(x) and g(x) together. The g(x) curve peaks higher compared to f(x).
The diagram is shown below. I used GeoGebra to make the graph, though you could use Desmos or a TI calculator (or similar) if you want.
3(3y - 10) = 6 I need the answer please
Answer:
If you wanted to simplify the equation:
9y - 30 = 6
If you wanted to solve for y:
y = 4
Step-by-step explanation:
3(3y - 10) = 6
9y - 30 = 6
Add 30 to both sides of the equation:
9y - 30 + 30 = 6 + 30
Simplify:
9y = 6 + 30
9y = 36
Divide both sides of the equation by 9:
9y ÷ 9 = 36 ÷ 9
Cancel terms that are in both the numerator and denominator:
y = 36 ÷ 9
y = 4
Plz help me with this question
Answer:
122
Step-by-step explanation:
[tex]x^6+y^2[/tex]
Plug in 1 for x and 11 for y
[tex]=1^6+11^2[/tex]
1 to the power of any number will always equal 1
[tex]=1+11^2\\=1+121\\=122[/tex]
I hope this helps!
A 8.33% tax is added to a $120 grocery bill.
A. Amount of tax: $9.99
B. Total paid: $127.99
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30
Answer:
C
Step-by-step explanation:
Simplify 8(2x2−3x −.5)=
Answer:
16x^2-24-4
Step-by-step explanation:
8(2x^2-3x-.5)
16x^2-24x-4
PLEASE HELP!! Find the value of x.
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Answer:
13.8 ounces of salt
Step-by-step explanation:
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Step 1
Note that:
1 shaker = 0.6 ounces of salt
8 shakers = x
Cross Multiply
x = 8 × 0.6 ounces of salt
x = 4.8 ounces of salt
Step 2
The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
This is calculated as:
18.6 ounces of salt - 4.8 ounces of salt
= 13.8 ounces of salt
PLEASE HELP ME You want to buy a pet bunny that costs $233. You already have $52 and you plan to save
$13 per week. If w represents the number of weeks until you have enough money to buy
the bunny, which equation could you use to find the value of w?
a) 52 - 13x = 233
b) 13x + 52 = 233
c) 521 -13 = 233
d) 521 + 13 = 233
Answer:
The answer is b
Step-by-step explanation:
An albatross is 5 meters above the surface of the ocean. How does its distance from the surface compare to the vertical distance from the eyes of: The jumping dolphin? The flying seagull? The octopus?
Answer:
The jumping dolphin -- changes
The flying seagull -- same
The octopus -- same
Step-by-step explanation:
The distance of the Albatross from the sea surface when compared to the vertical distance from the eyes of the :
The jumping dolphin :
As the dolphin jumps out from the sea, the vertical distance of the albatross from the surface seems to be decreasing and then increasing as seen by the jumping dolphin.
The flying seagull :
The distance of the albatross is at the same height as seen by the seagull since it is flying at the same level, i.e. at the level of the sea surface
The octopus :
The octopus remains at the same depth below the water surface. So the distance of the albatross for the octopus remains the same at 5 m above the ocean surface.
Find the distance between the two points rounding to the nearest tenth (if ne
(-7, -7) and (1, -3)
I need help with this please I appreciate it!
Answer:
1. Ella can scale it up by 3 or by using the ratio 3:1, the smaller bed is exactly 1/3 of the bigger bed.
2A. No I am way taller than the 75".
2B. Ella can scale the bed up by 7:1 so that it can fit me.
Step-by-step explanation:
What will be the sign of the product if we multiply together.
(a) 8 negative integers and 3 positive integers?
(b) 5 negavtives integers and 4 positive integers?
(c) (-1) twelve times?
(d) (-1), 2m times, m is a natural number?
Answer:
(a)positive
(b)negative
(c)positive
(d)positive
Need an explanation pls
If 3x + y +4- (y + 6) = 14 + x, what is the value of x?
2
3
6
8
What is a unit fraction of 4/5
Answer:
1/5
Step-by-step explanation:
How would the graph of f(x) = −3(x + 2)^2 − 5 be affected if the function was changed to f(x) = 1/2(x − 2)^2 − 5? Select ALL that apply.
1) It would change from opening up to opening down.
2) It would change from opening down to opening up.
3) It would shift four units to the right.
4) It would shift four units to the left.
5) It would shift four units up.
6) It would shift four units down.
7) It would become wider.
8) It would become narrower.
Answer:
This will be your answer. I hope this helps, good luck! :)
Find the unit price the 24 cupcake for $56 to the nearest cent.
Answer:
$517.50
Step-by-step explanation:
25x20.7
pls pls help i will give brainliest
Answer:
give me a brainliest now
Step-by-step explanation:
ILL GIVE YOU BRAINLIEST AND ALL MY POINTS PLS HELP MEEE Tysm Algebra
Answer:
I think it is the second one haha loll
In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.
What is the length, in centimeters, of AC?
NEED HELP ASAP
Answer:
12
Step-by-step explanation:
Use the Pythagorean Theorem to solve.
10 squared minus 8 squared=36
Square rt = 6
6 + 6=12
The length, in centimeters, of AC should be considered as the 12
Calculation of the length:Since
In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.
So here the length should be like
= 10^2 - 8^2
= 100 - 64
= 36
= 6
So for AC it should be
= 6+ 6
= 12
Hence, The length, in centimeters, of AC should be considered as the 12
Learn more about length here: https://brainly.com/question/12497184
36 students for 3 teachers _ students for 1
Answer: 12 students for 1 teacher.
Step-by-step explanation: 36 students divided by 3 teachers is 12 students for each teacher.
Answer:
The answer is 12
Step-by-step explanation:
36 students divided by 3 teachers
36 / 3 = 12
Hope this helps!! ;3
What do I do with e^y in the differential equation dy/dt =(2t)/(e^y)?
As you said, the equation is separable:
dy/dt = 2t / exp(y)
exp(y) dy = 2t dt
Integrate both sides:
∫ exp(y) dy = ∫ 2t dt
exp(y) + C₁ = t ² + C₂
Move the constant terms to one side. When you add them together, you get another constant, so you can ignore the subscript altogether:
exp(y) = t ² + C
Solve for y explicitly by taking the logarithm of both sides:
ln(exp(y)) = ln(t ² + C )
y = ln(t ² + C )
C can be any number; if it happens to be 0, then you have
y = ln(t ²) = 2 ln(t )
so B is the correct choice.
You can also approach this from the opposite angle: Assume y is one of the given solutions, then substitute it into the ODE. (Bit more trial-and-error involved, so not a good idea if you're short on time.)
For example, if y = 2 exp(t ) as in choice A, you have dy/dt = 2 exp(t ), so the ODE would become
2 exp(t ) = 2t / exp(2 exp(t ))
which is clearly (I hope) not true.