−2t−5<9

Hiiiiiiii

Huuuu

I'm good at geomotry what do u need help with?

Yes, even if you don't know how many handshakes there were overall, you can be sure that there were at least two guests who had the same number.

Assume that the gathering will have n visitors. With the exception of oneself, each person may shake hands with n-1 additional individuals. For each guest, this means that there could be 0, 1, 2,..., or n-1 handshakes.

There will be the following number of handshakes if each guest shakes hands with a distinct number of persons (i.e., no two guests will have the same number of handshakes):

0 + 1 + 2 + ... + (n-1) = n*(n-1) divide by 2

The well known formula for the sum of the first n natural numbers . The paradox arises if n*(n-1)/2 is not an integer since we know that the actual number of handshakes must be an integer. The identical number of handshakes must thus have been shared by at least two other visitors.

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,

TSA 294000 IS THE TOTAL AREA OF A CUBOID 0.7

Answer:

its f(x) = –x^2 + 2x + 4

Step-by-step explanation:

\(f(x)=-x^2+2x+4\)

\(f(0)=-0^2 +2 x 0 +4\\f(0)=4\)

Answer:

C

Step-by-step explanation:

got it right on Edge

Answer:

Step-by-step explanation:

joe mamma

Based on the given percentages, the number of adult American men who think the federal government should fund stem cell research is 67,860,000.

The percentage is the ratio of a value in relation to another.

The percentage is determined as the quotient of the numerator divided by the denominator, multiplied by 100.

The percentage of men who approve of stem cell research = 58%

The percentage of men who do not approve of the research = 39%

The percentage of men who have no opinion on the research = 3%

The estimated number of adult American men = 117,000,000

Thus, based on the percentage of men who approve of stem cell research, the number is 67,860,000. (117,000,000 x 58%).

Federal Government Funding of Stem Cell Research

                          Total      Men     Women

Should fund       55%       58%        52%

Should not fund 41%       39%         44%

No opinion          4%          3%           4%

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The Diwali occurred on 0.408 or 40.8% of the year in 2017.

To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.

Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.

There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.

So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408

So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.

Therefore, Diwali occurred on 0.408 or 40.8%

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Answer:

Step-by-step explanation:

the answer is 10

Answer:

Half of 7 is 3.5

That would be your radius.

3.5^2 x 3.14

12.25 x 3.14 = 38.465 yd2 <--------- area

3.14 x 3.5 x 2 = 21.98yd <------- perimeter

Answer:

1. The zeros are at x = 0 and x = –10

2. The zeros are at x = 3 and x = 4

Step-by-step explanation:

1. f(x) = x (x + 10)

Multiplying any number by 0 = 0,
so f(x) = 0 when...

• x = 0

or

• x + 10 = 0 (if you subtract 10 from both sides, you get x = –10)

2. f(x) = x (x - 3) – 4 (x - 3)

Use distributive property to expand

x² – 3x – 4x + 12

Combine like terms

x² – 7x + 12

Factor

(x – 3) (x – 4)

(You could have also just noticed in the original function that both x and –4 were multiplied by (x – 3) and factored then.)

So f(x) = 0 when...

• x – 3 = 0  (add 3 to both sides to get x = 3)

or

• x – 4 = 0 (add 4 to both sides to get x = 4)

I hope that helped!

Answer:

2714 mm3

Step-by-step explanation:

   Volume of the material used in each cylindrical cracker is 2714 cubic mm.

         Volume = πr²h

Given in the question,

Material used in cracker = Volume of the whole cracker - Volume of the cylindrical hole

                                         = \(\pi (\frac{16}{2} )^2(18)-\pi (\frac{8}{2} )^2(18)\)

                                         =  1152π - 288π

                                         = 864π

                                         = 2714.34

                                         ≈ 2714 cubic mm.

  Therefore, volume of the material used in each cracker will be 2714 mm³.

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Answer: a. $1392

b. 31.5%

Step-by-step explanation:

a. What was Joe's capital loss?

Cost price = $22.07 × 200 = $4414

Selling price = $15.11 × 200 = $3022

Capital loss = $3022 - $4414

= -$1392

b. Express Joe's capital loss as a percent, rounded to the nearest percent.

= Capital loss/Cost price × 100

= 1392/4414 × 100

= 31.5%

Answer:

a. $1392

b. 31.5%

Step-by-step explanation:

a. What was Joe's capital loss?

Cost price = $22.07 × 200 = $4414

Selling price = $15.11 × 200 = $3022

Capital loss = $3022 - $4414

= -$1392

b. Express Joe's capital loss as a percent, rounded to the nearest percent.

= Capital loss/Cost price × 100

= 1392/4414 × 100

= 31.5%

Answer:

cosA = 0.6

Step-by-step explanation:

Using the Pythagorean identity

sin²A + cos²A = 1 ( subtract sin²A from both sides )

cos²A = 1 - sin²A ( take the square root of both sides )

cosA = ± \(\sqrt{1-sin^2A\)

Since only the positive value is required , then

cosA = \(\sqrt{1-(0.8)^2}\)

         = \(\sqrt{1-0.64}\)

         = \(\sqrt{0.36}\)

         = 0.6

Answer:

Answer:

Answer:x = 25°

Answer:x = 25°Step-by-step explanation:

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2}

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 2

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2}

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 2

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°

Answer:

X< -3

( − ∞ , − 3 )

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

Given,

Equation

14x-20y=-13

In slope intercept form

13 + 4x = 20y

13 + 4y/20 = y

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

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He has used the highest recommended percentages to calculate the amounts for the three categories: credit cards, groceries, and rent.

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he pay =  $2487

He has used the highest recommended percentages to calculate the amounts for the three categories: credit cards, groceries, and rent.

The amount added to his account each month is

$908 + $1,008 + $1,029 + $1,142 =  $4087

Marco budget $1,600 a month for expenses

$4087 - $1600 = $2487

According to the graph, he pay = $2487

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The maturity value of a simple interest, 3-month loan of $3800 at an interest rate of 6% is $3856. (whole number)

To calculate the maturity value, we can use the formula for simple interest:

Maturity Value = Principal + (Principal × Interest Rate × Time)

In this case, the principal (P) is $3800, the interest rate (R) is 6% (which can be expressed as a decimal as 0.06), and the time (T) is 3 months.

Substituting these values into the formula, we have:

Maturity Value = $3800 + ($3800 × 0.06 × 3/12)

Simplifying the calculation, we get:

Maturity Value = $3800 + ($570)

Maturity Value = $4370

Therefore, the maturity value of the 3-month loan is $4370.

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Answer: 8 8 4

Step-by-step explanation:the first one is 8 then 8 and then 4

The answers will be ;

a) No. of customers , one employee can help at restaurant is 5.

b) No. of customers , one employee can help at grocery store is 12.

c) The grocery rate of customer per employee is 7 more than restaurant's rate.

A graph for restaurant is given and a table for grocery store is given which represents relation of no. of employees per customer.

We have to solve the subparts of the given question.

What will be the rate if there are 12 customers per 2 employee at a shop ?

The rate at the shop will be 12 ÷ 2 or 6 customers per employee.

As per the question ;

Graph for restaurant is given and a table for grocery store is given.

a)

At restaurant ;

For 2 employees , no. of customers = 10

For 4 employees , no. of customers = 20

So ,

With increase of 2 in number of employees , no. of customers increases by 10.

⇒ No. of customers , one employee can help at restaurant is ;

= 10 ÷ 2

= 5 customers

b)

At grocery store ;

For 2 employees , no. of customers = 24

For 4 employees , no. of customers = 48

So ,

With increase of 2 in number of employees , no. of customers increases by 24.

⇒ No. of customers , one employee can help at grocery store is ;

= 24 ÷ 2

= 12 customers

c)

So ,

The restaurant rate of customers per employee = 5 customers/employee

The grocery store rate of customers per employee = 12 customers / employee

And

The grocery rate of customer per employee is more than restaurant rate by ;

= 12 - 5

= 7

Thus , the answers will be ;

a) No. of customers , one employee can help at restaurant is 5.

b) No. of customers , one employee can help at grocery store is 12.

c) The grocery rate of customer per employee is 7 more than restaurant's rate.

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Answer:

-6

cuz I'm smart. big brain time

The cost of one apple is $0.70.

Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:

4a + 9b = 12.70 ...(1)

8a + 11b = 17.70 ...(2)

To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:

32a + 72b = 101.60

-32a - 44b = -70.80

Adding these two equations, we get:

28b = 30.80

Simplifying and solving for "b", we get:

b = 1.10

Now, we can substitute the value of "b" in equation (1) and solve for "a":

4a + 9(1.10) = 12.70

4a + 9.90 = 12.70

4a = 2.80

a = 0.70

Therefore, the cost of one apple is $0.70.

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Answer:

see below

Step-by-step explanation:

we construct a parallel line to ED through F

as shown in the picture

so by angles between parallels

a=d

b=e

so what does

a+b+c equal? this is the triangle angle sum

it equals c+d+e and

the sum makes a straight angle so that's 180°

so

c+d+e=180

which is the same as

a+b+c=180

Answer:

A

Step-by-step explanation:

Given

\sqrt[]{50a^6b^7}

50a

6

b

7

Therefore, solving:

\sqrt[]{50}\sqrt[]{a^6}\sqrt[]{b^7}

50

a

6

b

7

Simplify

\begin{gathered}\begin{gathered} \sqrt[]{50}=5\sqrt[]{2} \\ \sqrt[]{a^6}=a^3 \\ \sqrt[]{b^7}=b^3\sqrt[]{b} \end{gathered}\end{gathered}

50

=5

2

a

6

=a

3

b

7

=b

3

b

Next,

5\sqrt[]{2}\cdot a^3\cdot b^3\sqrt[]{b}5

2

⋅a

3

⋅b

3

b

Reordering the expression

5a^3b^3\sqrt[]{2b}5a

3

b

3

2b

Answer:

-b

Step-by-step explanation:

The system of equations:

3x + y = 4

2y = -6x + 8

Has infinite solutions.

We have the equation:

3x + y = 4

Now we want to find an equation of a line such that if we make a system of equations, the system will have infinite solutions.

The system of equations will have infinite solutions only if both equations represent the same line, then we can rewrite our line like

3x + y = 4

If we multiply both sides by 2

2*(3x + y) = 2*4

6x + 2y = 8

And we can move some terms to get:

2y = -6x + 8

Then the system:

3x + y = 4

2y = -6x + 8

Has infinite solutions.

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Answer:

sample

or spot check

Step-by-step explanation:

there are quite a number of different terms that can be used depending on the specific scientific field you are working in.

but "sample" should be the most common one for a random selection of a subset of the whole set.

Answer:

x=-5

Step-by-step explanation:

\(4x = - 18 - 2 \\ x = \frac{ - 20}{4} \\ = - 5\)

BESTIEEE I HOPE U CAN GIVE ME BRAINLIEST (╥﹏╥)(╥﹏╥)

4x + 2 = -18

4x = -18 - 2

4x = -20

x = -5

Cheers!!

Answer:

C) Marisol computed StartFraction y 2 minus x 2 Over y 1 minus x 1 EndFraction.

Step-by-step explanation:

2.1 To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.

The function is given as u(x, y) = xy and v(x, y) = x² + y².

Partial derivatives of u:

∂u/∂x = y

∂u/∂y = x

Partial derivatives of v:

∂v/∂x = 2x

∂v/∂y = 2y

All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.

Now, let's check if the Cauchy-Riemann equations are satisfied:

∂u/∂x = ∂v/∂y

y = 2y

This equation holds true for all values of y, including y = 0.

∂u/∂y = -∂v/∂x

x = -2x

This equation also holds true for all values of x, including x = 0.

Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.

2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).

The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)

As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.

Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).

2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.

Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.

2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.

The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.

Therefore, f does not have a harmonic complex conjugate.

2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).

For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.

For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.

Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.

To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:

h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)

Where C(y) is an arbitrary function of y.

The harmonic conjugate of f is given by:

g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)

Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.

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To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.

The function is given as u(x, y) = xy and v(x, y) = x² + y².

Partial derivatives of u:

∂u/∂x = y

∂u/∂y = x

Partial derivatives of v:

∂v/∂x = 2x

∂v/∂y = 2y

All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.

Now, let's check if the Cauchy-Riemann equations are satisfied:

∂u/∂x = ∂v/∂y

y = 2y

This equation holds true for all values of y, including y = 0.

∂u/∂y = -∂v/∂x

x = -2x

This equation also holds true for all values of x, including x = 0.

Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.

2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).

The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)

As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.

Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).

2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.

Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.

2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.

The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.

Therefore, f does not have a harmonic complex conjugate.

2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).

For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.

For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.

Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.

To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:

h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)

Where C(y) is an arbitrary function of y.

The harmonic conjugate of f is given by:

g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)

Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.

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The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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The expression for the area of the triangle is given as follows:

A = 1.5x^4 + x³ - 0.5x².

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

The dimensions for this problem are given as follows:

Hence the area of the triangle is given as follows:

A = 0.5(3x² - x)(x² + x)

A = 0.5(3x^4 + 3x³ - x³ - x²)

A = 0.5(3x^4 + 2x³ - x²)

A = 1.5x^4 + x³ - 0.5x².

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