Solve the following system of equations.
5 a-b=17
3 a+2 b=5

Answer:

The answer should be about $81.20

Step-by-step explanation:

$14.50 x 5weeks = $72.50

A school week is usually 5 days.

The middle of the week is Wednesday, so that's 3 whole days.

$14.50 / 5days = $2.90 per day

$2.90 x 3days = $8.70

$72.50 + $8.70 = $81.20

Answer:

Internal angle = \(160^\circ\)

Number of sides = 18

Step-by-step explanation:

Given that:

We have a regular polygon with number of sides unknown.

Measure of an exterior angle of the polygon = \(20^\circ\)

To find:

Measure of an interior angle and the number of sides of the polygon?

Solution:

Let us have a look at the relation of sum of external angles.

Sum of one internal angle and its corresponding external angle = \(180^\circ\)

Internal angle + external angle = \(180^\circ\)

Internal angle = \(180^\circ\) - \(20^\circ\) = \(160^\circ\)

Sum of all the external of a regular polygon = \(360^\circ\)

All the external angles will be equal because it is a regular polygon.

Let the number of sides = \(n\)

Therefore,

\(n \times 20^\circ = 360^\circ\\\Rightarrow n = 18\)

Therefore, the answers are:

Internal angle = \(160^\circ\)

Number of sides = 18

Answer:

41 degrees

Step-by-step explanation:

82/2 = 41

Answer:

okay I'll try to solve them

Answer:

2474

Step-by-step explanation:

(725 x 2) + (512 x 2)

(1450)+(1024)

=2474

The approximate value of PQ in the right angle triangle is 5.4 units.

A right-angle triangle has one of its angles at 90 degrees. Therefore, the sides can be found by trigonometric ratios.

Hence,

sin 50 = opposite / hypotenuse

sin 50 = PQ / 7

cross multiply

PQ = 7 sin 50°

PQ = 7 × 0.76604444311

PQ = 5.36231110183

PQ = 5.4 units

hence, the approximate value of PQ in the right angle triangle is 5.4 units.

To learn more about triangles visit:

brainly.com/question/14327616

#SPJ1

Answer:

The answer is d

Step-by-step explanation:

I hoped this helps

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

To know more about standard deviation visit:

https://brainly.com/question/29115611

#SPJ11

Answer:

let the sides be 25x,12x and 5x ......then

25x+12x+5x=540

45x=540

x=25

sides are 25×12=300

12×12=144

5×12=60

we can find area by herons formula

354 Valencia student tickets and 133 non-student tickets were sold.

Let's use algebra to solve the problem. Let

x be the number of Valencia student tickets sold

y be the number of non-student tickets sold

We know that

x + y = 487 (the total number of tickets sold is 487)

14x + 25y = 8391 (the total receipts from ticket sales is $8391)

We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y

y = 487 - x

Here we have to use the substitution method, we can then substitute this expression for y into the second equation

14x + 25(487 - x) = 8391

Simplifying and solving for x

14x + 12275 - 25x = 8391

-11x = -3884

x = 354

So, 354 Valencia student tickets were sold. We can use the first equation to find y

x + y = 487

354 + y = 487

y = 133

So, 133 non-student tickets were sold.

Learn more about substitution method here

brainly.com/question/30284922

#SPJ4

Answer:

7 1/2

Step-by-step explanation:

So, we have the problem 4 1/2 x 1 2/3.

Lets convert both of these mixed fractions into improper fraction, because it would be much easier to multiply.

4 1/2= 9/2 as an improper fraction

1 2/3= 5/3 as an improper fraction

Now, lets multiply!

9/2 x 5/3

Lets multiply the numerators first.

9 x 5 is 45

Now, the denominators.

2 x 3 is 6

So, 9/2 and 5/3 is 45/6

Lets convert 45/6 into its mixed fraction form

45/6 as a mixed fraction would be 7 1/2

Hope this helped :)

Answer:

x=6

Step-by-step explanation:

1/2x=3/4(x-2)

1/2x=3/4x-1.5      (distribute)

+1.5    +1.5

1/2x+1.5=3/4x

-1/2x     -1/2x

1.5=1/4x

6=x

hope this helps

brainliest?

Answer:

?? not clearly re sent ..

Answer: Your given is given to you, and you're supposed to prove x = 15

Given would be the given equation,

and b. would be what would happen to the equation after you use the multiplicative property, then c would be what property was used to result in the equation on the left. i hope this makes sense

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

First you distribute then subtract the non- x number over to the other side and finally you divide

As we have proved that the Fourier transform F(ω), with the only difference being the sign of ω

Firstly, let us recall what the Fourier transform is. It is a mathematical technique that decomposes a function into its frequency components. The Fourier transform is defined as:

F(ω) = ∫ f(t) \(e^{(-iwt)}\)dt

where f(t) is the function being transformed, ω is the frequency, i is the imaginary unit, and e^(-iωt) is a complex exponential function. The inverse Fourier transform is defined as:

f(t) = (1/2π) ∫ F(ω) \(e^{(iwt)}\) dω

where F(ω) is the Fourier transform of f(t).

Now, let's move on to the symmetry properties of the Fourier transform.

If f(t) is an even function, meaning f(-t) = f(t), then F(ω) is also even, meaning F(-ω) = F(ω).

To prove this, we start with the definition of the Fourier transform and substitute -t for t:

F(-ω) = ∫ f(-t)\(e^{(iwt)}\) dt

Then, using the even symmetry of f(t), we can replace f(-t) with f(t):

F(-ω) = ∫ f(t) \(e^{(iwt)}\) dt

Therefore, F(-ω) = F(ω) if f(t) is even.

To know more about Fourier transform here

https://brainly.com/question/29063535

#SPJ4

There are three defects, and two pencils can be considered defectives.  a crack with broken lead, being broken in half, and a missing eraser. Each defect represents a unique issue or imperfection in the respective pencil.

Examining the three pencils, we can identify three distinct defects: a crack with broken lead, being broken in half, and a missing eraser. Each defect represents a unique issue or imperfection in the respective pencil.

Now, considering the term "defectives," it refers to the number of pencils that have defects. In this case, two out of the three pencils exhibit defects. The pencil with the crack and broken lead, as well as the pencil broken in half, can be categorized as defectives since they possess flaws affecting their functionality or appearance.

there are three defects present among the three pencils, representing the specific issues each pencil has. Additionally, two pencils can be classified as defectives, indicating the number of pencils that possess one or more defects.

Learn more about permutations and combinations: brainly.com/question/4658834

#SPJ11

The National Park Service is known for conducting some of the most unique rescue operations in the world.

Number is an abstract concept used to describe a quantity or a count, such as in the counting of objects. Number is a fundamental concept in mathematics and can be represented in a variety of ways, such as in the form of numerals, symbols, and words. In mathematics, numbers can be used to represent relationships between objects, operations, and ideas. Number is also used in everyday life, such as in the measurement of distance, time, and money.

Many of these rescues are distinctive due to their complexity and range of locations. The National Park Service rescues take place in some of the most remote and challenging environments, such as oceans, deserts, mountains, and forests. Additionally, many of the rescues require highly specialized techniques and equipment, as well as an understanding of the local environment and weather patterns. In addition to these unique rescue operations, the National Park Service also works to educate the public about safe outdoor recreation and assist with search and rescue training. The National Park Service also works to develop new technologies and techniques to assist in their rescue operations, allowing them to more effectively respond to emergencies and save lives.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

The quotient is the result of a division. Then, the quotient of b and 8 is:

Answer: b/8.

Answer:

The Correct answer is D

Step-by-step explanation:

I got it right on my test :)

Answer:

\(x=\frac{y-5}{3}\)

Step-by-step explanation:

y-1=3x+4

note: you will need to get y to answer for x.

\(x=\frac{y-5}{3}\)

Answer:

y = 841.25 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is  related to the time after launch, x in seconds, by the given equation as follows:

\(y = -16x^2 + 212x + 139\) ....(1)

We need to find the maximum height reached by the rocket.

For maximum height, put dy/dx = 0

So,

\(\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s\)

Pu x = 6.625 in equation (1).

\(y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet\)

So, the maximum height reached by the rocket is equal to 841.25 feet.

you have to use intercept theorem, also known as Thales's theorem to slove this problem

hope it really helps......!!!!!!

Answer:b

Step-by-step explanation:becayse 7-2 is 11 now you mltiply that a boom

Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

To learn more about curve parameterization visit:

brainly.com/question/12982907

#SPJ11

Answer:

formula for ratio: you can write a ratio with :, or, /

x axis is horizontal

0= x axis  6= y axis

Step-by-step explanation:

Answer:

It would be B

Step-by-step explanation:

8/3=2.66666666667

meaning x=8/3