solver for y 2x-3y=3

Answer: 59, 218

Step-by-step explanation:

5 ten thousands = 50,000

9 thousands = 9,000

2 hundreds = 200

1 ten = 10

8 ones = 8

50,000 + 9,000 + 200 + 10 + 8 = 59,218

Answer: 59,218

Step-by-step explanation:

The number that has 5 ten thousands, 9 thousands, 2 hundreds, 1 ten, and 8 ones is 59,218.

The conversion addition and subtraction of the numbers are done.

So, Solution are:

A. 900 p (into rupees)

1 rupee = 100 p

900 p = 9 rupees

B. 400 cm (into metre)

1 m = 100 cm

400 cm = 4.00 m

C. Rs. 27.70, Rs. 32.40 and Rs. 44.80 (Add)

=  Rs. 27.70 + Rs. 32.40 + Rs. 44.80

= 104.9

D. 9m 80 cm (into centimetre)

1 m = 100 cm

= 9m 80 cm

= 9m + 0.80m

= 9.8 m

E. 6480 m (into kilometres and metre)

1 m = 100 cm

6480 m

1 km = 1000m

6480 m = 6.480 km

F. Rs. 820.00 - Rs. 512.10 (Subtract)

Rs. 307.9

Thus, the unit conversion, addition and subtraction of the numbers are done.

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Answer:

6902

Step-by-step explanation:

divide through by multiples of the given values

In addition to being novel, arbitrary matrices with complicated elements are viewed as having potential. It is based on I. Schur's theorem, which states that any complex matrix is valid.

Any number of entries may be present in an arbitrary matrix. [a,b] [c,d] would be a random 2x2 matrix. Where all of the elements of some set (a, b, c, and d) (usually the real numbers.)

The definition of "arbitrary" is "undetermined; not assigned a specific value." As an illustration, the statement x+x=2x is true for any value of xR, whereas the statement x+x=2 is true only for the value x=1.

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for a f(5) is 1 and f(7) is 1/4

for b the domain is 16-1/4

for c the value is decreasing by 1/2 every time

27 ÷ 5 = 5.4

∴ 5.4 feet of ribbon goes to each bracelet.

Grade R learners can be best taught using hands-on experience, thus use physical beads or objects to practically teach subtraction.

A manipulatives-based project can be a fantastic method to teach subtraction to grade R students, who frequently learn best via hands-on experiences. This activity can be modified to accommodate students who learn better visually, aurally, or kinesthetically.

The activity that can be used to teach grade R learners to subtract is by using physical objects, and asking them to count the initial number.

Remove some items and recount them.

The objects removed will denote the subtraction.

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The graph of both the exponential functions y = 3(11)ˣ  and y = (1/12)ˣ  can be plotted by assuming some arbitrary values of 'x' that correspond to

different values of 'y'.

A function is said to be n exponential function when the independent variable is the exponent.

For example -: aˣ.

The two exponential functions can be graphed by assuming some arbitrary values of 'x'.

In y = 3(11)ˣ.

At x = 1, y = 33.

At x = - 1, y = 3/11.

At x = 2, y = 363.

So, The points are (1, 33), (- 1, 3/11) and (2, 363).

Now we can plot these points and join them by free hand.

Similarly, y = (1/12)ˣ can also be graphed in a similar manner.

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Answer:1004.8

Step-by-step explanation:

divide 8 by 2 since we need the radius which gives us 4. Then square it by the second power which will give you 16 since 4x4 equals 16. Then multiply 16 by pie/3.14 and you should get 50.24. then multiply it by the height which is 20in and you should get the answer which is 1004.8

If the spinner is spinning two times then the sample space becomes { BB,B0,BR,OB,OO,OR,RB,RO,RR}.

In probability a sample space is a set of possible number of outcomes of a random experiment.

A spinner has three equal sections blue(B), orange(O), red(R).

The sample space will be

Spin 1 Spin 2

Blue Orange

Blue Red

Blue Blue

Red Blue

Red Orange

Red Red

Orange Blue

Orange Red

Orange Orange

Hence, If the spinner is spinning two times then the sample space becomes { BB, B0, BR, OB, OO, OR, RB, RO, RR}.

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The inverse function of the given is y^-1=x/2 -4.

The domain of the original function becomes the range of the inverse function, and the range of the given function becomes the domain of the inverse function. The inverse function is denoted by the notation f-1 in relation to the original function f. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function. Only when f is both a one-one and an onto function does it have an inverse, indicated by the symbol f-1. Keep in mind that f-1 is NOT f's inverse. The domain value of x is given by combining the function f and the reciprocal function f-1.

Here the given function is,

=> y = 2x+8

Now interchange x and y then

=> x=2y+8

Now simplify the expression with respect to y then,

=> x-8=2y

=> y =x/2 -4

=>y^-1=x/2 -4

Hence inverse function is, y^-1=x/2 -4

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In response to the query, we have that So, depending on the precise equation choice of five positive numbers, the data range might be 5, 6, or 7.

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. To comprehend the relationship between the two sentences written on opposing sides of a letter, utilise a mathematical formula. The logo and the specific programme typically correspond. An illustration would be 2x - 4 = 2.

The five positive integers will be denoted as a, b, c, d, and e.

We know that c must equal 5, since the median is 5.

The three integers we now have add up to 15 (a + b + c = 15).

We may write the equation as follows since the mean is 5:

(a + b + c + d + e)/5 = 5

a + b + 18 = 25

a + b = 7

a = 1, b = 6, c = 5, d = 8, e = 8

a = 2, b = 5, c = 5, d = 8, e = 8

a = 3, b = 4, c = 5, d = 8, e = 8

Range = 8 - 1 = 7

Range = 8 - 2 = 6

Range = 8 - 3 = 5

So, depending on the precise choice of five positive numbers, the data range might be 5, 6, or 7.

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By answering the supplied question, we may infer that the response is standard deviation As a result, 95% of requests for lightbulb replacements with a total number between 38 and 54 are in this range.

A statistic known as standard deviation may be used to indicate the variation or variability of a set of statistics. A low standard deviation means that the values tend to be closer to the established mean whereas a large standard deviation shows that the values are widely spread. The standard deviation serves as a gauge for how far the data are from the mean (or ). The data tend to cluster around the mean when the standard deviation is low, and are more scattered when the standard deviation is high. Standard deviation is a measurement of the data set's average variability. It displays the standard deviation of each score with respect to the mean.

The rule states approximately:

One standard deviation from the mean is shared by 68% of the requests.

The average request is within two standard deviations in 95% of cases.

The average request falls within three standard deviations in 99.7% of cases.

a mean three standard deviations away:

38 8 = 30 to 46 with one standard deviation

two standard deviations: 22 to 54 for 38 2(8)

38 3(8) = 14 to 62 for three standard deviations

We know that almost 95% of the requests fall within this range since we are interested in the proportion of requests between 38 and 54, which is within two standard deviations of the mean. As a result, 95% of requests for lightbulb replacements with a total number between 38 and 54 are in this range.

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Answer:

The answer you're looking for is 7000ml

Step-by-step explanation:

Since there are 1000 millimeters inside a liter we can use the equation
x = 7×1000.
We need to first simplify all terms giving us this equation
x = 7000
With that, we are finished and that's how you do this question.

I hope this was helpful!

Answer: To find out how much commission Yamilet will receive for selling an $8,125 ring, we need to multiply the price of the ring by her commission rate, which is 12% or 0.12 in decimal form.

Commission = Price of ring x Commission rate

Commission = $8,125 x 0.12

Commission = $975

Therefore, Yamilet will receive a commission of $975 for selling an $8,125 ring.

Step-by-step explanation:

Answer:

[tex]c+13 > 78[/tex]

Step-by-step explanation:

[tex]c+13 > 78[/tex]

They must collect over 78 coats. They already have 13 so they must either add that to the amount they still need to collect or subtract it from the number they're trying to beat.

Answer:

33 27 plus 6 = 33

Step-by-step explanation:

The height of the skyscraper is 201.49 meters.

Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.

Given that, Sadie is seeing a skyscraper making an angle of the elevation of 36°, she is 275 meters away from the skyscraper, we need to find the height of the skyscraper,

Using the concept of height and distance and trigonometric ratios,

Tan 36° = x / 275 [please refer to the figure attached]

x = 275 × Tan 36°

x = 199.80 meters

Therefore, the height of the skyscraper is x+1.69 = 199.80+1.69 = 201.45 m

Hence, the height of the skyscraper is 201.49 meters.

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The complete question is :-

From her eye, which stands 1.69 meters above the ground, Sadie measures the angle of elevation to the top of a prominent skyscraper to be 36. If she is standing at a horizontal distance of 275 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.

Answer:40

140/7=20

20x2=40

40 is the same as two-sevenths of 140

The variable b is greater than 2

The graph (see attachment) represents the given parameter

The function g is given as

g(x) = a * b^x -- the red line

Using the points on the graph, we have

b = 12/3

b = 4

So, b is greater than 2

In (a), we have

g(x) = a * b^x -- the red line

Where

a = g(x) when x = 0

So, we have

a = 3

The function becomes

g(x) = 3(4)^x

Based on the function definitions, the intersecting of f and g represent the year when the organizations have the same number of followers

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The explicit formula of the geometric sequence is given as follows:

[tex]a_n = 100(4)^{n-1}[/tex]

The recursive formula of the geometric sequence is given as follows:

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio (q). In other words, a geometric sequence is a sequence where each term is a fixed multiple of the previous term.

The explicit formula of the sequence is given as follows:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

For the recursive formula, we just take the first term and each consecutive term is the previous term multiplied by the common ratio.

There are 100 views in day one, hence the first term is given as follows:

[tex]a_1 = 100[/tex]

The number of viewers is multiplied by 4 each day, hence the common ratio is given as follows:

q = 4.

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a. The equation of the tangent plane is z = 1 + x.

b. The point (4/3, 8/3, 5) lies on both the plane T(0,1) and the line l.

c. The other points on the graph of f(x) whose tangent plane contains the line l are (-9/8, -1/2, -21/8) and (-25/32, -3/4, -47/32)

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

(a) The partial derivatives of f(x) at this point:

∂f/∂x = 2x + y²

∂f/∂y = x² + 2xy

Evaluating these at (0,1), we get:

∂f/∂x(0,1) = 1

∂f/∂y(0,1) = 0

So the equation of the tangent plane is:

z = f(0,1) + ∂f/∂x(0,1)(x-0) + ∂f/∂y(0,1)(y-1)

z = 1 + x

(b)

The plane T(0,1) contains the line l:

2x = y = (z+3)/2

Substituting y = 2x and z = 2y-3, we get:

z = 2(2x) - 3 = 4x - 3

So any point on the line l can be written as (x, 2x, 4x-3).

Substituting these values into the equation of the plane, we get:

4x-3 = 1 + x

3x = 4

So x = 4/3, y = 8/3, and z = 5.

Therefore, the point (4/3, 8/3, 5) lies on both the plane T(0,1) and the line l.

(c) To find all other points on the graph of f whose tangent plane contains the line l, we need to find the intersection of the graph of f with the plane T(0,1) + λ(2,0,1), where λ is a scalar. This gives us the system of equations:

x² + y²xy = 1 + x + 2λ

2x + y² = 0

y - 1 = λ

Solving for x and y in terms of λ, we get:

y = λ + 1

x = -(y²)/2 = -(λ+1)²/2

Substituting these values into the first equation, we get:

(λ+1)² + (λ+1)²(-(λ+1)²/2) = 1 - (λ+1)²/2 + 2λ

Simplifying and solving for λ, we get:

λ = -1/2, -1/4

Therefore, the other points on the graph of f(x) whose tangent plane contains the line l are:

(-9/8, -1/2, -21/8) and (-25/32, -3/4, -47/32)

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Answer: To find the distance between two points on a grid, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the coordinates of the middle school are (-5, 3), and the coordinates of the library are (2, 3). So we have:

distance = sqrt((2 - (-5))^2 + (3 - 3)^2)

distance = sqrt((2 + 5)^2 + 0^2)

distance = sqrt(7^2)

distance = 7

Therefore, the library is 7 miles away from the middle school.

Step-by-step explanation:

Answer:

Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. 33rad … ical 3 66 33radical 2 16.5 5 Select the correct answer. 2 2

Step-by-step explanation:

Answer:

67.97%

Step-by-step explanation:

Answer:

67.97%

Step-by-step explanation:

[tex] \Large{\boxed{\sf Height = 58 \: m}} [/tex]

[tex] \\ [/tex]

The volume of a cylinder can be calculated using the following formula:

[tex] \Large{\sf V = B \times h} [/tex]

Where:

[tex] \\ [/tex]

Since we are not given the area of its base, which is a circle, we will have to calculate it applying the following formula:

[tex] \Large{\sf B = \pi \times r^2} [/tex]

Where:

[tex] \\ [/tex]

Combining these two formulas, we can express the volume of the cylinder as follows:

[tex] \Large{\sf V = \underbrace{\sf \pi \times r^2}_{B} \times h} [/tex]

[tex] \\ [/tex]

Now, rearrange the formula to isolate the height, h.

[tex] \sf V = \pi \times r^2 \times h \Longleftrightarrow \dfrac{V}{\pi \times \times r^2} = \dfrac{ \pi \times r^2 \times h}{\pi \times r^2 } \Longleftrightarrow h = \dfrac{V}{\pi \times r^2} [/tex]

[tex] \\ [/tex]

[tex] \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf V &=\sf 492,452.48 \: m^3 \\ \sf r &=\sf 52 \: m \: \\ \sf \pi &= \sf 3.14 \: (approximately) \end{cases} } [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf h = \dfrac{492,452.48 \: m^3}{(52 \: m)^2 \times 3.14 } = \dfrac{492,452.48 \: m^3}{8,490.56\: m^2 } \\ \\ \\ \\ \implies \boxed{\boxed{\sf h = 58 \: m}} [/tex]

Answer:

The area of a rectangle is given by the product of its length and width. In this case, the length of the rectangle is -x + 18, and the width is x + 4. So, the area is:

Area = (length) x (width)

= (-x + 18) x (x + 4)

= -x^2 + 14x + 72

Therefore, the area of the rectangle is -x^2 + 14x + 72.

Answer:

How long will it take 6 people to wash all the cars?   5 hours 20 minutes

If you only have 2 hours and 40 minutes to wash all the cars how many people will you need?   12 people

Step-by-step explanation:

The important thing to realize here is that the time taken to wash x cars is inversely proportional to the number of people

That is represented mathematically as
y ∝ 1/x

The more the number of people, the less time it takes

We can write this as a proportionality equation:
y = k/x

where k is referred to as the constant of proportionality

We have the information: 4 people take 8 hours.

Plugging these two values into the equation

4 = k/8

k = 4 x 8 = 32 hours

So it takes 1 person 32 hours to wash all the cars

If there were 6 people instead
6 = 32/h where h is the time taken for 6 people to wash 30 cars

h = 32/6 = 16/3 hours = 5 1/3 hours
= 5 hours and 20 minutes

2 hours and 40 minutes = 2 40/60 hours = 2 2/3 hours

Converting to improper fraction
2 2/3 = (2 x 3 + 2)/3 = 8/3 hours

Plugging this value of x into the equation gives

y = 32/(8/3)

32 ÷ 8/3 is computed by flipping the fraction and multiplying

32 ÷ 8/3 = 32 x 3/8 = 12 people

Answer: It would be 10.5

Step-by-step explanation:

You are inputting R or radius into question the radius is given to you which  is 10.5