help me pleaseeee.........​

Answer:

i think its 8.2

Step-by-step explanation:

Answer:

|a|=42+72+(−4)2−−−−−−−−−−−−−√

=16+49+16−−−−−−−−−−√

=81−−√

=9

Step-by-step explanation:

Find the dot product

a⋅b=(4,7,−4)⋅(3,−1,1)

=4⋅3+7⋅(−1)+(−4)⋅1

=12−7−4

=1

Find the magnitude of a

|a|=42+72+(−4)2−−−−−−−−−−−−−√

=16+49+16−−−−−−−−−−√

=81−−√

=9

Scalar projection of b on to a is given by

compab=a⋅b|a|

Substitute the values of the a⋅b and |a|, to get

compab=19

Vector projection of b onto a is given by

projab=[compab]a|a|

Substitute the values of the compab and |a|, to get

projab=[19](4,7,−4)9=(481,781,−481)

Result: compab=19projab=(481,781,−481)

Answer:

4 miles an hour

Step-by-step explanation:

The penny will fall from distance of 232 feet during the 8th second only, as it falls 960 feet in the first 8 seconds, but 728 feet in the first 8 seconds.

The distance the penny falls each second is increasing by 32 feet (16 feet + 32 feet = 48 feet, 48 feet + 32 feet = 80 feet, and so on). Therefore, during the 8th second, the distance it will fall is:

16 + 48 + 80 + ... + (8 - 1) * 32 feet

Using the formula for the sum of an arithmetic sequence, we get:

(8 / 2) * (16 + (8 - 1) * 32) feet

= 4 * (16 + 7 * 32) feet

= 4 * 240 feet

= 960 feet

So the penny will fall 960 feet during the first 8 seconds. However, we need to subtract the distance it fell during the first 7 seconds to find the distance it fell during the 8th second only. The total distance it fell during the first 7 seconds is:

16 + 48 + 80 + ... + (7 - 1) * 32 feet

= (7 / 2) * (16 + (7 - 1) * 32) feet

= 3.5 * (16 + 6 * 32) feet

= 3.5 * 208 feet

= 728 feet

Therefore, the penny will fall 960 - 728 = 232 feet during the 8th second only.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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The value of x = 4cm

Similar triangles are triangles that have corresponding angles that are equal to one another and have corresponding sides that are in proportion to each other.

For example, if two triangles are similar and the sides of one of the triangles are 1, 2 and 3 units respectively, then the corresponding sides of the other triangle can be 2, 4 and 6 units respectively. It could also be 1.2, 2.4 and 3.6 units respectively. The ratio of the corresponding sides must be constant.

From the question, the given figure consists of two similar triangles.

Therefore we have,

6/3 = 2

Which implies (from similar triangles) that,

(x + 2)/(x - 2) = 2

multiply both sides by (x-2)

x + 2 = 2(x -2)

x + 2 = 2x - 4

solve for x

2 + 4 = 2x - x

6 = x

x = 4 cm

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The property that represents the commutative law of sets is given as follows:

d. (A ∪ B) ∪ C = A ∪ (B ∪ C)

The cumulative law of sets states that the order in which the union operation is made does not change the resulting set of these multiple union operations.

The symbol that represents the union operation is given as follows:

∪.

Hence statement d is the correct statement of the commutative law of sets, as:

For both cases, the resulting set is the same.

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analyze problem

complex interest

2000+2000*0.005=2010

2010+2010*0.005=2020.05

2020.05+2020.05*0.005=2030.15025

f is differentiable at the point x₀ ∈ (0, 1) if the derivative of f exists at x₀ and the derivative is continuous at x₀.

To define differentiability of a function at a point, we need to check two conditions: existence of the derivative at that point and continuity of the derivative at that point.

Let's define the differentiability of the function f at the point x₀ ∈ (0, 1):

(a) f is differentiable at the point x₀ ∈ (0, 1) if the following conditions are satisfied:

Existence of the Derivative:

The derivative of f at x₀ exists if the following limit exists:

lim┬(x→x₀)⁡〖(f(x) - f(x₀))/(x - x₀) 〗

In other words, the function has a well-defined instantaneous rate of change at x₀.

Continuity of the Derivative:

The derivative of f at x₀ is continuous if the following limit exists:

lim┬(x→x₀)⁡〖(f'(x) - f'(x₀))/(x - x₀) 〗

In other words, the rate of change of the function's derivative is continuous at x₀.

To summarize, f is differentiable at the point x₀ ∈ (0, 1) if the derivative of f exists at x₀ and the derivative is continuous at x₀.

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The correct solution to the system of equations is x = 10 and y = 5.

To solve the system of equations, we can use either the substitution or elimination method. Let's use the substitution method.

Given the system of equations:

5x - y = 55

x + y = 15

We can solve equation 2) for x: x = 15 - y.

Substituting this expression for x into equation 1), we have:

5(15 - y) - y = 55

75 - 5y - y = 55

75 - 6y = 55

-6y = 55 - 75

-6y = -20

y = -20 / -6

y = 10/3

Substituting the value of y back into  equation 2), we have find:

x + 10/3 = 15

x = 15 - 10/3

x = 45/3 - 10/3

x = 35/3

So, the solution to the system of equations is x = 35/3 and y = 10/3, which can be approximated to x = 11.67 and y = 3.33.

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The fraction expression as a product expression is 1/2 * 2/5

From the question, we have the following parameters that can be used in our computation:

A mathematical expression

The mathematical expression is given as

1/5

In this case, the expression is a fraction

Using the above as a guide, we have the following:

Fraction = 1/5

Multiply the fraction by 1

So, we have the following representation

Fraction = 1/5 * 1

Express 1 as 2/2

This gives

Fraction = 1/5 * 2/2

Swap the factors of the expression

This gives

Fraction = 1/2 * 2/5

Hence, the product expression is 1/2 * 2/5

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For Researchers estimate the population mean, the total number of miles driven in a week by all participants in the study is equals to the 27 miles.

We have, a Researchers estimate the population mean for Seattle, \( \mu_1\) = 279 miles

And population mean of Sarasota, \( \mu_2\) = 152 miles

We have to estimate the total number of miles driven in a week by all participants. The point estimate of population is defined as the difference between the two population means. Thus, \( \mu_1 - \mu_2\)

= 279 - 152

= 27 miles

Hence, the required value is 27 miles.

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Answer:

Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1

The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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Answer:

y=2+x/5

Step-by-step explanation:

Answer:

y=2+\(\frac{x}{5}\)

Step-by-step explanation:

subtract x from both sides to get

5y=10-x

divide both sides by five to get

y=2+\(\frac{x}{5}\)

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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Answer:

Choice 4

Step-by-step explanation:

#4   because the graph does not intersect the x-axis

The graph that represents a quadratic function with a negative discriminant is graph 4.

The part in the formula of a quadratic equation that helps us to know the nature of the roots of a quadratic equation is known as a discriminant.

D = b2 - 4ac,

Since for the value of the discriminant to be negative, the roots of the quadratic equation should be imaginary. Also, imaginary never intersects the x-axis of the graph.

Now, in the group of the graphs the only graph that does not intersect the x-axis of the graph or have imaginary roots is graph 4.

Hence, the correct option is graph4 (Bottom Right).

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Answer:

x = 2af/cg.

Step-by-step explanation:

cx/2 = a f/g

Multiply through by 2g:

cgx = 2af

Divide both sides by cg:

x = 2af/cg.

The solution of the given equation for x is 2af/cg.

The given equation is cx/2 = a f/g.

We need to solve the given equation for x.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, cx/2 = a f/g

By multiplying 2g on both the side of the equation, we get

cgx = 2af

Divide both sides of the equation by cg.

That is, x = 2af/cg

Therefore, the solution of the given equation for x is 2af/cg.

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Answer:

m∠JKI: 43°

Explanation:

As its an isosceles triangle, m∠JKI = m∠JIK

m∠JKI:

\(\hookrightarrow \sf \dfrac{( 180 - 94 )}{2}\)

\(\hookrightarrow \sf \dfrac{ 86 }{2}\)

\(\hookrightarrow \sf 43\)

Answer:

43.

Step-by-step explanation:

Volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.

The given figure is a hexagonal pyramid.

The base of the pyramid is hexagon.

We have to find the base of the pyramid by formula :

Base area = 3√3/2a²

Where a is the base length.

Base area = 3√3/2(13)²

= 3√3/2 ×169

=439.07 square inches.

Volume =√3/2b²h

h is height which is 30 in and b is base length of 13 in.

Volume =√3/2×169×30

=√3/2×5070

=2535×√3

=4390.74 cubic inches.

Hence, volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.

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Answer:

C = 50.27 m

Step-by-step explanation:

A = πr²

64π = πr²

64 = r²

r = ±8

r = 8

C = 2πr

C = 2π(8)

C = 50.27 m

Answer:

40.17

Step-by-step explanation:

4 ten: 4 × 10 = 40

17 hundredth: 17 × 0.01 = 0.17

4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17

Answer:

it is 8

Step-by-step explanation:

The y-coordinate of the vertex is 7.5.

It is given that in graph line cuts 2 points in x-axis and 1 point in Y-axis.

Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).

The line cut in between 7 and 8 of the co-ordinate axis so it is 7.5.

Therefore, the y-coordinate of the vertex is 7.5.

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Answer:

504 is the correct answer.

Step-by-step explanation:

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

Answer:

a) 18

Step-by-step explanation:

There are three possible outcomes for every amount of GB and since there are 6 different quantities of GB then we get:

6×3=18 possible outcomes.

Answer:

The answers would be:
7) y=-0.5x+2
8) y=-0.5x+2
9) y=0.6x-2
10) y=6x-4

Step-by-step explanation:

The distribution is not a standard normal distribution.

We know that the variable (X) usually obeys and follows a standard normal distribution provided that the summation of (X) is zero and the variance of the random variable V(X) = 1.

Mathematically:

E(X) = 0 and V(X) = 1

Given that;

As such, the distribution is not a standard normal distribution.

Therefore, we can conclude that the distribution is not a standard normal distribution.

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Answer:

  (a)  w = 13

Step-by-step explanation:

You have a regular quadrilateral with interior angle measure (6w+13)°, and you want the value of w to the nearest integer.

A regular quadrilateral is a square. Its interior angles are 90°, so we have ...

  6w +13 = 90

  6w = 77

  w = 12.833...

  w ≈ 13

The value of w to the nearest whole number is 13.