Text? I go to much going on inside of my head..

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:

45:18:36

Step-by-step explanation:

\(99 = 5x +2x+4x\\99=11x\\x=9\\\)

substitute x back into 5x:2x:4x

Therefore, 99 in the ratio of 5:2:4...

45:18:36

Answer:

10/12

Step-by-step explanation:

We dont need to change the denominator, so we can just add 7 + 3 which is 10, so the answer is 10/12

Have a good day!

The limit of function is infinity.

To evaluate the limit lim x → ∞ of x√(\(x^2\) + 2), we can simplify the expression by dividing both the numerator and denominator by x:

lim x → ∞ x√(\(x^2\) + 2) = lim x → ∞ √(\(x^2\) + 2)/1/x

Now, let's focus on the simplified expression in the numerator:

√(\(x^2\)  + 2)

As x approaches infinity, the term \(x^2\) dominates the expression. We can ignore the constant term 2 in comparison to \(x^2\) . Thus, as x becomes very large, the expression can be approximated as:

√(\(x^2\)  + 2) ≈ √(\(x^2\) ) = x

Now, let's substitute this approximation back into the original limit:

lim x → ∞ √(\(x^2\) + 2)/1/x ≈ lim x → ∞ x/1/x = lim x → ∞ \(x^2\)

As x approaches infinity, the limit of \(x^2\) is also infinity:

lim x → ∞ \(x^2\) = ∞

Therefore, the limit of x√(\(x^2\) + 2) as x approaches infinity is infinity.

To learn more about function here:

https://brainly.com/question/30721594

#SPJ4

Step-by-step explanation:

hope it is helpful to you

Step-by-step explanation:

{(-10)-(-15)÷5}

-10+15÷5

-10+3

= -7

The given function x(t) cannot be directly plotted due to the presence of unit step functions. The integral of x(t)δ(t - 2) dt is -2, obtained by evaluating x(t) at t = 2.

Plot the given function x(t) = 2(t - 1)[u(t + 1) - u(t)] - 2(t - 1)[u(t) - u(t - 1)], you can use the MATLAB `plot` function. However, since the function contains unit step functions, it is not continuous. Therefore, it cannot be plotted directly.

For the second part of the question, to find the integral ∫ x(t)δ(t - 2) dt, where δ(t - 2) is the Dirac delta function centered at t = 2, we can utilize the properties of the Dirac delta function.

The integral of x(t)δ(t - 2) dt can be found by evaluating x(t) at t = 2, which will give the value of x(t) at the location of the Dirac delta function.

Using the given function x(t), we substitute t = 2:

x(2) = 2(2 - 1)[u(2 + 1) - u(2)] - 2(2 - 1)[u(2) - u(2 - 1)]

Simplifying further:

x(2) = 2[u(3) - u(2)] - 2[u(2) - u(1)]

x(2) = 2[u(3) - 2u(2) + u(1)]

Since u(t) is a unit step function, u(t) = 1 for t ≥ 0 and u(t) = 0 for t < 0.

Evaluating x(2) using the unit step function properties:

x(2) = 2[1 - 2(1) + 0] = 2[1 - 2] = 2(-1) = -2

Therefore, the integral ∫ x(t)δ(t - 2) dt is equal to -2.

To know more about step functions refer here

https://brainly.com/question/29640716#

#SPJ11

Bobby has 6 pizzas left.

Step-by-step explanation:

9-2(eaten ones)-1(thrown away)=6

Answer:

6

Step-by-step explanation:

The waist-to-hip ratio for the client would be 0.763, which is considered a healthy ratio for women (less than 0.8) and an average ratio for men (less than 0.9).

To calculate the waist-to-hip ratio (WHR), you simply divide the measurement of your waist circumference by your hip circumference.

WHR = waist circumference / hip circumference

Using the measurements you provided, the calculation would be:

WHR = 29 inches / 38 inches = 0.763

Alternatively, if you prefer to use centimeters:

WHR = 74 cm / 97 cm = 0.763

Therefore, the waist-to-hip ratio for the client would be 0.763, which is considered a healthy ratio for women (less than 0.8) and an average ratio for men (less than 0.9).

for such more question on average ratio

https://brainly.com/question/23377525

#SPJ11

Answer:

Option D is correct

Step-by-step explanation:

\(x - 6 = 8 \\ x = 8 + 6 \\ x = 14\)

Answer:

Option D is correct

Step-by-step explanation:

\(x - 6 = 8 \\ x = 8 + 6 \\ x = 14\)

The correct option is B, the value of the population variance or standard deviation is not needed to compute a t-statistic.

The t-statistic is a measure used in statistics to determine if there is a significant difference between the means of two groups. It is calculated by taking the difference between the means of the two groups and dividing it by the standard error of the difference. The resulting value is then compared to a t-distribution to determine the probability of obtaining that value by chance.

The t-statistic is often used in hypothesis testing, where a null hypothesis is assumed and the t-statistic is used to determine the likelihood of rejecting the null hypothesis. A high t-statistic value indicates that the difference between the means of the two groups is significant, while a low t-statistic value suggests that the difference is likely due to chance.

To learn more about T-statistic visit here:

brainly.com/question/15236063

#SPJ4

Complete Question:-

Which of the following is not needed to compute a t-statistic?

Hint: why did we need to switch from a z-test to a t-test?

a. a hypothesized value for the population mean

b. the value of the population variance or standard deviation

c. the value of the sample mean

d. the value of the sample variance or standard deviation

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

To know more about "standard normal distribution" refer here:

https://brainly.com/question/29509087#

#SPJ11

Answer:

1 inch represents 1 mile

66330 inches represent 1 mile

Convert to feet = 5280 feet for every mile

So if the map shows y = 1 1/4  then this means 1 1/4 miles

which would make the decimal of y = 1.25

which makes x = 5280 x 1.25 = 6600

We can just convert to decimalization the ' length of y in inches' and multiply by 5280 to find our answer.

= y * x   = (1 .) + additional)  * 1 * 5280

Not forgetting the above decimal if under 2 inches.

Or in any measure including if over 2 inches we can use

= measure of y  * 5280  = (  ) answer

If \(1\) inch on a map represents \(y\) miles, then the miles represented by \(x\) feet on the same map will be \(12\) miles.

A map is a visual representation of an entire area or a part of an area, typically represented on a flat surface.

Mile is a measure of length, in one mile there 1.6 kilometers.

We  have,

\(1\) inch \(=y\) miles

Then,

\(x\)  feet will represent miles on map will be as

We know that,

\(1\) feet \(=12\) inch

So,

According to question,

Miles represented by \(x\) feet \(=12y\) miles

Because according to the above given statement we came to know that in \(1\) feet there are \(12\) inches.

Hence, we can say that if \(1\) inch on a map represents \(y\) miles, then the miles represented by \(x\) feet on the same map will be \(12\) miles.

To know more about miles click here

https://brainly.com/question/13816350

#SPJ2

Answer: 288

Step-by-step explanation: 360/5 is 72 so multiply the 6th graders times 72 and you get 288

The polar equation of the form r = f(θ) for the curve represented by the given Cartesian equation is r² sin(t) cos(t) = (9/2)sin(2t)

The given Cartesian equation is xy = 9.

In order to find the polar equation of the form r = f(θ) for the given Cartesian equation, substitute

x = r cos(t) and y = r sin(t)

in the given Cartesian equation and simplify it as follows:

xy = 9r cos(t) r sin(t)

= 9r² sin(t) cos(t)

= (9/2)sin(2t)

Thus, the polar equation of the form r = f(θ) for the curve represented by the given Cartesian equation is r² sin(t) cos(t) = (9/2)sin(2t) or equivalently, r = sqrt[(9/2)sin(2t) / sin(t) cos(t)]

To learn more about Cartesian equation

https://brainly.com/question/30087444

#SPJ11

Given that triangle LMC and BJK are conrguent, i.e LMC≅BJK

The triangles are shown below

From the diagram above, the following congruence statements are true,

i) Segment JB≅ML

ii) ∠K≅∠C

iii) ΔMLC≅ΔJBK

iv) ∠M≅J

v) ΔKBJ≅ΔCLM

Answer:

area: 20 i think

perimeter: 18

pic below

To determine the 95% energy bandwidth (B) of the signal g(t) = [0.5sinc²(0.5 t) cos(2 t)], we can apply Parseval's Theorem. Parseval's Theorem states that the total energy of a signal in the time domain is equal to the total energy of the signal in the frequency domain. Mathematically, it can be expressed as:

∫ |g(t)|² dt = ∫ |G(f)|² df

In this case, we want to find the frequency range within which 95% of the energy of the signal is concentrated. So we can rewrite the equation as: 0.95 * ∫ |g(t)|² dt = ∫ |G(f)|² df

Now, we need to evaluate the integral on both sides of the equation. Since the given signal is in the form of a product of two functions, we can separate the terms and evaluate them individually. By applying the Fourier transform properties and integrating, we can find the value of B.

For part (b), when we consider g(2t), the time domain signal is compressed by a factor of 2. This compression results in a corresponding expansion in the frequency domain. Therefore, the 95% energy bandwidth of g(2t) will be twice the value of B determined in part (a). This can be justified by considering the relationship between time and frequency domains in Fourier analysis, where time compression corresponds to frequency expansion and vice versa.

Learn more about Parseval's Theorem here: brainly.com/question/33212886

#SPJ11

Answer:

2

Step-by-step explanation:

rise/run 4/2

To find the slope of the tangent line to the polar curve r = 5 - sin(θ) at θ = π/3, we need to take the derivative of the polar equation with respect to θ, evaluate it at θ = π/3. The slope of the tangent line is sqrt(3)/2.

To find the slope of the tangent line to a polar curve at a given point, we need to take the derivative of the polar equation with respect to θ and evaluate it at the given value of θ. The slope of the tangent line is then given by dy/dx = (dy/dθ)/(dx/dθ).

For the polar equation r = 5 - sin(θ), we can use the chain rule to find dr/dθ:

dr/dθ = d/dθ (5 - sin(θ)) = -cos(θ)

To find dθ/dx and dθ/dy, we use the relations x = r cos(θ) and y = r sin(θ):

dθ/dx = dy/dx / (dy/dθ) = (dr/dθ sin(θ) + r cos(θ)) / (r cos(θ) - dr/dθ sin(θ))

dθ/dy = dx/dy / (dx/dθ) = (dr/dθ cos(θ) - r sin(θ)) / (r sin(θ) + dr/dθ cos(θ))

At the point corresponding to θ = π/3, we have:

r = 5 - sin(π/3) = 5 - sqrt(3)/2

dr/dθ = -cos(π/3) = -1/2

cos(π/3) = 1/2 and sin(π/3) = sqrt(3)/2

Substituting these values, we get:

dθ/dx = ((-1/2) * sqrt(3)/2 + (5 - sqrt(3)/2) * 1/2) / ((5 - sqrt(3)/2) * 1/2 - (-1/2) * sqrt(3)/2) = sqrt(3)/3

dθ/dy = ((-1/2) * 1/2 - (5 - sqrt(3)/2) * sqrt(3)/2) / ((5 - sqrt(3)/2) * sqrt(3)/2 + (-1/2) * 1/2) = -1/sqrt(3)

Therefore, the slope of the tangent line to the polar curve r = 5 - sin(θ) at the point corresponding to θ = π/3 is:

dy/dx = (dy/dθ)/(dx/dθ) = (dθ/dy)/(dθ/dx) = (-1/sqrt(3)) / (sqrt(3)/3) = sqrt(3)/2

Hence, the slope of the tangent line is sqrt(3)/2.

To know more about slope of the tangent line, visit:
brainly.com/question/32393818
#SPJ11

Answer:

900

Step-by-step explanation:

\(\frac{27000}{30}=900\)

Answer:

% of workers walk

10%

% of workers bike=

25%

% of workers carpool

15%

% of workers drive alone=

50%

Step-by-step explanation:

if you divide them you get the answer

like ex

2/20 is actually 2÷20 so you get 0.10 which is 10%

and if you add them all they equal to a 100 percent

Answer:

19c + 30

Step-by-step explanation:

Distributive property : a(b+c) = ab + ac

Explanation : simply multiply the value on the outside of the parenthesis by both the values on the inside of the parenthesis.

Here we have 1(19c + 30)

To distribute, we multiply 1 by both 19c and 30

1 x 19c = 19c

1 x 30 = 30

We're left with 19c + 30

Using the equation of lines with the slopes and the properties of the rectangle, The coordinates of D are (7,2).

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides. The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A is at (0, 0) and B is at (4, 6), the slope of the line is  (6 - 0) / (4 - 0) = 3/2.

Since the line that connects C and D is perpendicular to the line connecting A and B, the slope of the line connecting C and D is also -2/3.

The y-coordinate of C is 4, we can write the equation of this line as y = -2/3x + 4. We know that the x-coordinate of D is 7, so we can substitute this value into the equation to find the y-coordinate of D.

This gives us y = -2/3(7) + 4 = -14/3 + 4 = -10/3 + 12 = 2.

Thus, the coordinates of D are (7, 2).

To learn more about rectangles visit:

https://brainly.com/question/29123947

#SPJ4

The least sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 5 minutes will be 416.16.

A normal distribution is a data set design in which the majority of values cluster around the middle of the range and the remainder taper off symmetrically toward either end. Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central location, with values decreasing as one moves out from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same. The normal distribution, like any other probability distribution, defines how the values of a variable are distributed. Because it properly captures the distribution of values for many natural occurrences, it is the most important probability distribution in statistics.

Here,

The z value at the 90 percent confidence interval is 1.645.

t ≥ z*s/√n

5≥1.645*62/√n

√n≥20.398

√n≥20.4

n≥416.16

The smallest sample size required to ensure that the sample mean does not deviate from the population mean by more than 5 minutes with 90% confidence is 416.16.

To know more about normal distribution,

https://brainly.com/question/17199694

#SPJ4

Answer:

$261.80 Net pay

Step-by-step explanation:

340 x 0.23 =   $78.20 in taxes

$340 - $78.20 =  $261.80 Net pay

Answer:

$261.8 Is how much you take home.

Step-by-step explanation:

(* is multiply)

In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5

23% of 340 is 78.2 ( 340 * 0.23)

Subtract 340 by 78.2, and you get your net pay, 261.8

Another way to do this is subtract 100% by 23%.

so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep

so 340 * 0.77 = 261.8

Answer

a) (0, 9) is not on the given graph.

b) (9, 0) is on the given graph.

c) (-9, 0) is on the given graph.

Explanation

The eqation of the function on the graph is given as

y² = x² - 81

We are then asked to check if some points are on this graph

To do that, we will substitute each ofthe given points into the equation as x and y and the ones that satisfy the equation are the ones that occur on the graph

a) (0, 9)

x = 0

y = 9

y² = x² - 81

9² = 0² - 81

81 = 0 - 81

81 ≠ -81

This point isn't on the graph.

b) (9, 0)

x = 9

y = 0

y² = x² - 81

0² = 9² - 81

0 = 81 - 81

0 = 0

This point is thus on the graph.

c) (-9, 0)

x = -9

y = 0

y² = x² - 81

0² = (-9)² - 81

0 = 81 - 81

0 = 0

This point is thus on the graph.

Hope this Helps!!!

Answer:

keep the cookie

Step-by-step explanation:

The nature of the solution to the system of linear equations is a unique solution.

To determine the nature of the solution to each system of linear equations, we need to examine the slopes of the two equations.

For the first equation, y = (-1/4)x + 1, the slope is -1/4.

For the second equation, y = (2/3)x + 4, the slope is 2/3.

Now let's analyze the nature of the solutions:

1. If the slopes of the two equations are different, the system has a unique solution. This means the lines represented by the equations intersect at a single point.

2. If the slopes of the two equations are the same and the y-intercepts are different, the system has no solution. This means the lines represented by the equations are parallel and do not intersect.

3. If the slopes of the two equations are the same and the y-intercepts are the same, the system has infinitely many solutions. This means the lines represented by the equations are identical and overlap.

In this case, the slope of the first equation (-1/4) is different from the slope of the second equation (2/3). Therefore, the system has a unique solution, and the lines represented by the equations intersect at a single point.

The nature of the solution to the system of linear equations is a unique solution.

For more details regarding linear equation, visit:

https://brainly.com/question/12974594

#SPJ1

Answer:

Well on of the properties states that unless there are parenthesis, you multiply and divide first then you add and subtract. So, first we multiply 28*4 and that leaves use with 112, now if there is no more multiplication, division, or parentheses, and there's not. We can continue all we do is add 18+112 and we get our answer of 130.

Answer: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.