simplify (4 x 10^6) x (2 x 10^3) and express the result in scientific notation​

Answer:

-8

Step-by-step explanation:

Subtract 5 from both sides of the equation:

2+5=2−3

2+5−5=2−3−5

Simplify:

2=2−8

Subtract 2 from both sides of the equation:

2=2−8

2−2=2−8−2

Simplify:

0=−8

The solution to the algebraic expression has no solutions.

An algebraic expression comprises numbers, variables, and arithmetic operations with the aim of determining and finding a solution to the variables.

From the given expression, we have:

2x + 5 = 2x - 3

subtract 2x from both sides, we have:

2x -2x + 5 = 2x -2x - 3

5 = -3

Therefore, the solution algebraic equation has no solution since we don't have a variable to solve.

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Answer:

36 servings

Step-by-step explanation:

1/4p = 6s

6(1/4p) = 6(6s)

1 1/2p = 36s

Answer:

bro u find it

Step-by-step explanation:

Step-by-step explanation:

14.

G must be congruent to B (the vertexes with the right angle).

and then

GH = GF = CB = AB (they are both isoceles triangles meaning both legs have the same length, and then these legs must be congruent bergen the triangles, so, in fact, all 4 sides must have equal length).

therefore,

5y mm = 25 mm

y = 5

(2x + 5) mm = 25 mm

2x + 5 = 25

2x = 20

x = 10

(3z + 14) mm = 35 mm

3z + 14 = 35

3z = 21

z = 7

No, this sample of celebrities taken by Zach is not random.

A random sample is the one in which there is no predictability and it is totally instantaneous.

Hair in the human condition is as has served the first 45 celebrities to arrive at the movie premiere. Firstly it is a movie premiere show only a few selected celebrities who have been invited and above that people who are main cast in the movie must arrived early.

Because our condition is being implemented here we cannot say that this is random sample of celebrities.

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a) To find f(0,0), we substitute x = 0 and y = 0 into the function f(x,y):

F(0,0) = -e^(0^2) – 0 – 4(0) = -1 – 0 – 0 = -1

b) To find fy(0,0), we need to find the partial derivative of f(x,y) with respect to y and then evaluate it at (0,0). Taking the derivative with respect to y:

Fy(x,y) = -2ye^(y^2)

Now substitute x = 0 and y = 0 into fy(x,y):

Fy(0,0) = -2(0)e^(0^2) = 0

c) Using the linear approximation L(x,y) of f(x,y) at the point (0,0), we can approximate the value of f(-2,5). The linear approximation L(x,y) is given by:

L(x,y) = f(a,b) + fx(a,b)(x – a) + fy(a,b)(y – b)

Where (a,b) is the point of approximation. In this case, (a,b) = (0,0). We have already found f(0,0) and fy(0,0) in parts (a) and (b).

Now, we need to find fx(0,0). Taking the partial derivative of f(x,y) with respect to x:

Fx(x,y) = -1 – 4

Substituting x = 0 and y = 0 into fx(x,y):

Fx(0,0) = -1 – 4 = -5

Now, we can substitute these values into the linear approximation formula:

L(x,y) = f(0,0) + fx(0,0)(x – 0) + fy(0,0)(y – 0)
      = -1 – 5x + 0y
      = -1 – 5x

To approximate f(-2,5), substitute x = -2 into the linear approximation:

L(-2,5) = -1 – 5(-2) = -1 + 10 = 9

Therefore, the approximate value of f(-2,5) using the linear approximation at the point (0,0) is 9.


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Answer:

7pi/20 radians

Step-by-step explanation:

63         pi

------ x---------- =  63pi/180

1           180

63pi/180 simplified is 7pi/20 radians.

Answer:

£481.02

Step-by-step explanation:

To calculate, you can multiply the original cost by the increase percentage (expressed as a decimal) and add that to the original cost:

£466.98 * 1.032 = £480.9936

£480.9936 + £466.98 = £481.02

Rounding to 2 decimal places, the answer is £481.02.

Answer:

NO

Step-by-step explanation:

We have the value of k as 2, p as 0.5  and n as 150.

Given function,

function a = PMF(k,p,n)

% k is the set of numbers

% p is the probability of a success (the chance of success is 50%)

% n is the number of coins

We are to complete the function PMF for a number of coins that showcases the full PMF model.

This should evaluate the following formula:

P(K=k) = p^n(1-p)^(k-1)

The solution to the above problem is as follows:

function a = PMF(k,p,n)

% k is the set of numbers

% p is the probability of a success (the chance of success is 50%)

% n is the number of coins

a = p.^k.*(1-p).^(n-k);

end

We have the value of k, p and n.

We have to calculate the value of PMF(k,p,n) and return that as the output.

The formula for calculating the PMF is P(K=k) = p^n(1-p)^(k-1)

To calculate the value of PMF we can use the given formula

a = p.^k.*(1-p).^(n-k);

The dot after the p and (1-p) is to ensure that we apply element-wise operations and not matrix operations.

To verify the result, we can use the function to calculate the value of P(K=k) for the given values of k, p and n

For k=2, p=0.5, n=150,

P(K=k) = p^n(1-p)^(k-1)

           = (0.5)^2*(0.5)^(150-2)

           = 0.0758a(2)

           = 0.0758

Hence the function is implemented successfully.

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=(a+a+a+a+a+a)

= 6a

=(5x+−4x+10x)

= 11x

=(9t+3t+−6t)

= 6t

=(−5j+11j+j)

= 7j

a)= 6a

b)= 11x

c)=6t

d)= 7j

Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

Answer:

there have been 4 rainy days

Answer:

14432 yards I hop this helps

Belinda has 5/11 pounds of sand.

To find out how many pounds of sand Belinda has, we can multiply the fraction of the bag she has (5/6) by the weight of a full bag of sand (6/11 pounds).

The calculation is as follows:

Belinda's sand = (5/6) x (6/11) pounds

When we multiply the fractions, we multiply the numerators together and the denominators together:

Belinda's sand = (5 x 6) / (6 x 11) pounds

Simplifying the numerator and denominator:

Belinda's sand = 30 / 66 pounds

This fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 6:

Belinda's sand = 5 / 11 pounds

Therefore, Belinda has 5/11 pounds of sand.

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The probability that both marbles drawn will be green is 16.4%.

The probability of drawing a green marble on the first draw is 8/19.

Since there are no replacements, the probability of drawing another green marble on the second draw is 7/18 (since there are now only 18 marbles left in the bag, including 7 green marbles).

Therefore, the probability of drawing two green marbles in a row is:

(8/19) × (7/18)

= 56/342

To convert this to a percentage, we can divide 56 by 342 and multiply by 100:

(56/342) × 100 = 16.37%

Therefore, the probability that both marbles drawn will be green is 16.4%.

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There is no line parallel to the line x + 2 · y + 8 = 0, as point (x, y) = (- 2, - 3) lies on the original line.

In this problem we need to determine the equation of line based on its slope relationship respect to another line and a given point. Two lines are parallel if and only if they have the same slope (m) and two distinct intercepts (b). First, transform the given equation of the line into slope-intercept form:

x + 2 · y + 8 = 0

2 · y = - x - 8

y = - (1 / 2) · x - 4

Then, the resulting line has a slope of - 1 / 2.

Second, determine the intercept of the resulting line:

y = m · x + b

b = y - m · x

b = - 3 - (- 1 / 2) · (- 2)

b = - 3 - 1

b = - 4

The intercept of the resulting line is - 4.

Third, transform the equation of the resulting line into standard form:

y = - (1 / 2) · x - 4

- 2 · y = x + 8

x + 2 · y + 8 = 0

There is no parallel line for the point (x, y) = (- 2, 3).

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Answer:

6x+21

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

A median bisects the side that it is drawn to, so

So, FN = 4(15) + 3 = 63.

Once again, since a median bisects the side it is drawn to, NE = 63.

Answer:

slope is the gradient of a line. equation of a line and slope intercept form is y = mx + b where m equals the slope of the line and b is is the point on the y-axis that the line crosses. think of slope as the gradient of your stairs at home where The height (rise) of the stair is the y-axis and the length (run) of the stair is along the x-axis. let's say the rise of the stair is 6 in and the run of the stair is 9 in. The slope would then be the rise over the run or in our case 6 in over 9 in simplified that would be ⅔. let's imagine that our slope crosses the y-axis at 6 and our equation would be y = ⅔x + 6

Answer:

here you go

Step-by-step explanation:

slope is the gradient of a line. equation of a line and slope intercept form is y = mx + b where m equals the slope of the line and b is is the point on the y-axis that the line crosses. think of slope as the gradient of your stairs at home where The height (rise) of the stair is the y-axis and the length (run) of the stair is along the x-axis.

let's say the rise of the stair is 6 in and the run of the stair is 9 in. The slope would then be the rise over the run or in our case 6 in over 9 in simplified that would be ⅔. let's imagine that our slope crosses the y-axis at 6 and our equation would be y = ⅔x + 6

Answer:

 a + b - ( a - ( a-a)) = - 6

Step-by-step explanation:

Explanation:-

Given that a =-5 and b=-6

Given expression

        a + b - ( a - ( a-a))

  =  -5 +(-6)) - ( -5 -(-5-(-5))

  = -5 -6 - (-5 -0)

 =  - 5 - 6 +5

= - 6

Final answer:-

 a + b - ( a - ( a-a)) = - 6

The volume of the fully inflated balloon is \(\frac{19652}{3}\)π inch³ and volume of half inflated balloon is  \(\frac{19652\pi }{6}\).

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

Diameter of a fully inflated balloon = 34 inch

Radius is half the diameter.

Radius of fully inflated balloon = 34 / 2 = 17 inches

Volume of a sphere = \(\frac{4}{3}\) π r³, where r is the radius.

(a) Volume of fully inflated balloon = \(\frac{4}{3}\) π (17)³

                                                    = \(\frac{19652}{3}\)π inch³

(b) Volume of the half inflated balloon = Half of the fully inflated volume

                                                          = (\(\frac{19652}{3}\)π / 2) inch³

                                                          = \(\frac{19652\pi }{6}\) inch³

(c) Volume of half inflated balloon = \(\frac{19652\pi }{6}\)

\(\frac{4}{3}\) π r³ = \(\frac{19652\pi }{6}\)

\(\frac{4}{3}\) r³ = \(\frac{19652}{6}\)

r³ = \(\frac{19652}{8}\)

r = 13.49 inch

Hence the volume and radius are found.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

A; y- 4 = -2(x + 1)

Step-by-step explanation:

Here, we want to find the equation of the given line

The general form

is ;

y = mx + c

c is the y-intercept which is 2

So we have

y = mx + 2

The x-intercept where y = 0 is 1

Thus;

0 = m(1) + 2

0 = m + 2

m = -2

So the equation of the line is

y = -2x + 2

We can rewrite this in the point-slope form as:

y - 4 = -2(x + 1)

A megaliter is 10,000 times larger than a hectoliter.

The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.

An equation is an expression that shows the relationship between two or more variables.

1 mega liter = 10^6 Liter

1 hectoliter = 10^2 Liter.

Hence, a megaliter is 10,000 (10^6/10^2) times larger than a hectoliter

The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.

Uncle Reynald's age is given by the expression 3(12 + 5) - 4.

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Answer:

the first one is diffrence

2nd one is liter

3rd one 10,000

Step-by-step explanation:

Graphing equations in polar coordinates involves converting the equation, plotting points using different values of θ and the corresponding values of r, and connecting the points to form the graph.

To graph equations in polar coordinates, we need to understand the relationship between polar coordinates (r, θ) and Cartesian coordinates (x, y). In polar coordinates, the distance from the origin is represented by r, and the angle formed with the positive x-axis is represented by θ.

To graph an equation in polar coordinates, we follow these steps:

1. Convert the equation from Cartesian coordinates to polar coordinates by substituting x with r cos(θ) and y with r sin(θ).

2. Simplify the equation if possible.

3. Choose a range for the parameter θ, typically between 0 and 2π or 0 and π, depending on the desired portion of the graph.

4. Plot points by assigning different values to θ within the chosen range and calculating the corresponding values of r.

5. Connect the plotted points to form the graph.

The lack of uniqueness in polar coordinates refers to the fact that there can be multiple representations of the same point in polar form.

For example, the point (1, π/4) can also be represented as (-1, 5π/4) or (-1, -3π/4), and they all correspond to the same point in Cartesian coordinates. This lack of uniqueness can have consequences when graphing equations in polar coordinates.

When graphing equations in polar coordinates, it is crucial to be aware that a single value of r can correspond to multiple values of θ, resulting in the possibility of multiple representations of the same point.

This leads to an important consideration: the graph may not be as clear or straightforward as in Cartesian coordinates, where each point has a unique representation.

The lack of uniqueness can result in the presence of symmetry in the graph. For example, an equation in polar coordinates might produce a graph with radial symmetry, where the same curve is repeated at different angles around the origin.

Additionally, there can be multiple points that map to the same (x, y) point in Cartesian coordinates, which can cause the graph to have loops or self-intersections.

To address this lack of uniqueness and ensure a clear representation of the graph, it is often necessary to restrict the range of θ or use multiple intervals for different portions of the graph.

By carefully choosing the range or intervals, we can plot a graph that captures the desired behavior of the equation and avoids unnecessary repetitions or ambiguities.

In summary, graphing equations in polar coordinates involves converting the equation, plotting points using different values of θ and the corresponding values of r, and connecting the points to form the graph.

Careful consideration of the range of θ and the behavior of the equation is necessary to obtain a clear and accurate representation of the graph.

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The distance formula to get the distance of the fly from the corner of the room in meters is 1.985 meter.

Distance formula -

The distance formula is given by the equation -

\(d=\sqrt{ (x2-x1)^{2} +(y2-y1)^{2} \\\)

\(where , (x_1, x_2)\) and \((y_1,y_2)\)  are two given points.

Apply the distance formula to get the distance of the fly from the corner of the room in meters.

Now,

\(x_1 ,y_1\) are form the origin,

Given:

\((x_2,y_2) =(1.5,1.3)\)

By using the equation ,

\(d=\sqrt{ (x2-x1)^{2} +(y2-y1)^{2} \\\)

\(\\d = \sqrt[2]{(1.5^{2} -0^{2})+ (1.3^{2}-0^{2} ) }\)

\(d=\sqrt{(2.25+1.69)\\\\d=\sqrt{\frac{225}{100} +\frac{169}{100} } \\d=\sqrt{\frac{394}{100} } \\d=\frac{\sqrt{394} }{10} \\\\\)

Root value of 394,

\(\sqrt{394}\) = 19.85

\(d= \frac{19.85}{10} \\\\d=1.985\) metre.

Therefore, the distance formula to get the distance of the fly from the corner of the room in meters is 1.985

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The length of the second wire stretches when the same forces are applied to it is given by option A. 0.30 cm .

Length of the wire = 0.90cm

let us consider the concept of Young's modulus also known as the modulus of elasticity.

Young's modulus is a measure of the stiffness or rigidity of a material.

It quantifies how much a material deforms under a given force.

The equation for Young's modulus is as follows,

E = (F/A) / (ΔL/L)

Where,

E is Young's modulus

F is the applied force

A is the cross-sectional area of the wire

ΔL is the change in length of the wire

L is the original length of the wire

The first wire stretches by 0.90 cm

and the forces applied to both wires are the same,

Use this information to determine the Young's modulus of the material.

Let us assign some variables,

ΔL₁= 0.90 cm change in length for the first wire

L₁ = original length of the first wire

A₁ = cross-sectional area of the first wire

Since the forces applied to both wires are the same,

Assume that the stress force per unit area is the same for both wires. This implies,

(F/A₁) / (ΔL₁/L₁) = (F/A₂) / (ΔL₂/L₂)

The second wire has three times the diameter and three times the length of the first wire.

This means the cross-sectional area A₂ of the second wire will be nine times the cross-sectional area A₁ of the first wire.

Mathematically,

A₂ = 9A₁

Similarly, the length L₂ of the second wire is three times the length L₁ of the first wire,

L₂ = 3L₁

Substituting these values into our equation, we have,

(F/A₁) / (ΔL₁/L₁) = (F/(9A₁)) / (ΔL₂/(3L₁))

Simplifying further, we get,

⇒ 1 / (ΔL₁/L₁) = 1/9 / (ΔL₂/(3L₁))

⇒ L₁ /ΔL₁= 1/9 × 3L₁/ΔL₂

⇒ 1/ ΔL₁ = ( 3/9) ( 1 / ΔL₂)

Since ΔL₁ =0.90 cm  

Substitute these values and solve for ΔL₂,

⇒1/ 0.90 cm ₁ = ( 3/9) ( 1 / ΔL₂)

⇒ΔL₂ = (0.90 cm ) × (3/9)

⇒ΔL₂= 0.90 cm × (1/ 3)

⇒ΔL₂ = 0.30 cm

Therefore, the second wire stretches by option A. 0.30 cm  when the same forces are applied to it.

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The above question is incomplete, the complete question is:

A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:

A. .3 cm

B. .1 cm

C. 2.7 cm

D. .9 cm

The power series representation for the given function centered at x = 0 is Σ (-1)ⁿxⁿ from n = 1 to ∞.

The given function is

f(x) = 7/(1 - x²).

We know that

1/(1 - x) = Σ xⁿ, for |x| < 1.

Hence,

f(x) = 7/(1 - x²)

= 7/(1 - x)(1 + x)

= 7[1/(1 - x) - 1/(1 + x)]

∴ f(x) = 7[x + x² + x³ + .... - x - x² - x³ - ... ]

∴ f(x) = 7(x - x² + x³ - x⁴ + .... )

Therefore, the power series representation for the given function centered at x = 0 is Σ (-1)ⁿxⁿ from n = 1 to ∞.

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