I need help fast 10 points + brainliest (picture)

Given trigonometric functions,

sin55 = cos x

sin y = cos 28

cos z = sin w

1)

Sin55 = cosx

0.819 = cos x

x = cos^-1(0.819)

x = 35.015°

2)

Sin(y) = cos(28)

Sin(y) = 0.8829

y = 61.99°

3)

cos (z) = sin(w)

w = sin^-1(cos (z))

Hence from trigonometric functions,

https://brainly.com/question/15768633

#SPJ1

Answer:

y=5/4x+8 Answer Choice D).

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(18-13)/(8-4)

m=5/4

y-y1=m(x-x1)

y-13=5/4(x-4)

y-13=5/4x-20/4

y-13=5/4x-5

y=5/4x-5+13

y=5/4x+8

Answer:

Step-by-step explanation:

translate

Answer:

80

Step-by-step explanation:

First, let's mark all animals as x. Now we can form an equation:

\( \frac{1}{3} x + \frac{1}{4} x + \frac{1}{5} x + \frac{1}{6} x + 4 = x\)

Then, let's multiply this whole equation by 60, since it's a common denominator:

20x + 15x + 12x + 10x +240 = 60x

57x = -240 + 60x

57x - 60x = -240

-3x = -240 / : (-3)

x = 80

Answer:

a= 55.5

b= 45

hope it is helpful for u

The probability that X is between 110 and 120 is, P(110 < X < 120) = 0.6.

Since the probability density function is symmetric about the vertical axis at x = 100, we know that the mean of the distribution is 100.

Let's start by finding the probability that X is less than or equal to 120:

P(X ≤ 120) = 1 - P(X > 120) = 1 - 0.1 = 0.9

Next, let's find the probability that X is between 80 and 90:

P(80 < X < 90) = 0.22

Since the probability density function is symmetric about x = 100, we know that the probability of X being between 90 and 100 is the same as the probability of X being between 100 and 110:

P(90 < X < 100) = P(100 < X < 110)

Let's denote the probability of X being between 100 and 110 as p:

P(100 < X < 110) = p

Since the total probability must equal 1, we can write:

P(X ≤ 120) + P(80 < X < 90) + P(100 < X < 110) + P(110 < X < 120) = 1

Substituting the values we have found so far:

0.9 + 0.22 + p + P(110 < X < 120) = 1

Solving for p

p = P(100 < X < 110) = 1 - 0.9 - 0.22 = 0.08

Now we can find the probability that X is between 110 and 120

P(110 < X < 120) = P(100 < X < 120) - P(100 < X < 110)

= P(X ≤ 120) - P(100 < X < 110) - P(80 < X < 90)

= 0.9 - 0.08 - 0.22

= 0.6

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The given question is incomplete, the complete question is:

Consider a continuous random variable X with a probability density function that is symmetric about the vertical axis at x = 100. Given that P(X>120) = 0.1 and P(80 < x < 90) = 0.22, compute the following probabilities. (a) P(110 < x < 120)

Answer:

15 square centimeters

Step-by-step explanation:

A cube has 6 faces.

So, divide the surface area by 6 to get the surface area of a face of a cube.

Equation (for cube):

SA = surface area = 90

F = surface area of a face of a cube

F = \(\frac{1}{6}\) × SA

F = \(\frac{1}{6}\) × 90

F = \(\frac{90}{6}\) = 15, F = 15

So, the area of one face of the cube is 15 square centimeters.

Answer:

-2.8y-7.52

Step-by-step explanation:

multiply 0.4 by each of the numbers in the parentheses then simplify

Answer: -2.8y-7.52

Step-by-step explanation:

Option A. In observational studies, the variable of interest can be either numerical or categorical, so it does not have to be numerical.

Observational studies are a type of study in which researchers observe and record data on variables of interest without manipulating them directly. These studies are often used in fields such as epidemiology, social sciences, and psychology to investigate relationships between variables and identify potential risk factors for diseases or other outcomes.

The variable of interest in an observational study can be either numerical or categorical. Numerical variables are those that can be measured and expressed as a numerical value, such as age, height, weight, or blood pressure. Categorical variables are those that are qualitative or nominal in nature, such as gender, race, or smoking status.

To learn more about observational studies please click on below link.

https://brainly.com/question/17593565

#SPJ4

In observational studies, the variable of interest ____

A. cannot be numerical.

B. must be numerical.

C. is controlled.

D is not controlled.

Answer: x = 1/5 and y= -7/5

Step-by-step explanation: Let's solve your system by elimination.

Multiply the first equation by -3,and multiply the second equation by 1.

-3 (x - 2y = 3)

1 (3x - y = 2)

Becomes:

-3x + 6y = -9

3x -y = 2

Add these equations to eliminate x:

5y = -7

Then solve 5y = -7

5y/7 = -7/5

y = -7/5

Now that we‘ve found y, let’s plug it back in and solve for x.

Write down an original equation:

x - 2y = 3

Answer:

Reflect across the x axis

translate (x,y) to (x+6 , y)

Step-by-step explanation:

translations

(x - _, y) is to the left

(x + _, y) is to the right

(x, y - _) is down

(x, y +_) is up

Answer:

3^x+15=3 i think this is what you are looking for

Step-by-step explanation:

Answer:

(-3)^13

Step-by-step explanation:

(-3) is a constant value so there is no change

You must add 4 and 9 together to create one exponent of 13

The function that satisfies Syy' = ? and v(8) = 6 is \(y(x) = 3x^2 + 4x + 5.\)

To find the function y(x) such that Syy' = ?, we need to solve the differential equation Syy' = y*y'. Integrating both sides of the equation with respect to x, we get \(S(y^2/2) = y^2/2 + C\), where C is the constant of integration. Taking the derivative of y(x), we get y'(x) = 6x + 4. Substituting y'(x) into the original equation, we have S(y^2/2) = \(S((3x^2 + 4x + 5)^2/2) = S((9x^4 + 24x^3 + 40x^2 + 40x + 25)/2) = (3x^2 + 4x + 5)^3/6 + C.\)Now, using the initial condition v(8) = 6, we can find the value of C and determine the specific function y(x) that satisfies the given conditions.

Learn more about Substituting  here

brainly.com/question/30284922

#SPJ11

The area of the indicated region bounded by y=7 and y=7/25x^2 is XXX square units.

To calculate the area using Green's Theorem, we need to express the region in terms of a curve. Green's states that closed the line Theorem line integral integral of over a a vector field around a closed curve is equal to the double integral of the curl of the vector field over the region bounded by the curve.

In this case, we can rewrite the given equations in terms of x and y to define the boundary of the region. The upper boundary is y=7, and the lower boundary is y=7/25x^2. To find the points of intersection between these two curves, we can equate them:

7 = 7/25x^2

Solving this equation, we find x = ±5. Now we have the boundaries of the region in terms of x values.

To express the region in terms of a line integral, we need to define a vector field F = (M, N). In this case, we can take M = 0 and N = x. Now we can apply Green's Theorem:

Area = ∬ D dA = ∮ C N dx = ∮ C x dx

To calculate the line integral, we need to parameterize the curve C that encloses the region. Since the region is bounded by two curves, we need to split the curve into two parts. Let's consider the upper curve C1: y = 7.

Parameterizing C1, we have:

x = t

y = 7, for t ∈ [5, -5]

Now we can calculate the line integral over C1:

∮ C1 x dx = ∫[5,-5] t dt = [t^2/2] evaluated from -5 to 5 = 25/2 - 25/2 = 0

Next, let's consider the lower curve C2: y = 7/25x^2.

Parameterizing C2, we have:

x = t

y = 7/25t^2, for t ∈ [-5, 5]

Now we can calculate the line integral over C2:

∮ C2 x dx = ∫[-5,5] t dt = [t^2/2] evaluated from -5 to 5 = 25/2 - 25/2 = 0

Since both line integrals are zero, the area of the region bounded by y=7 and y=7/25x^2 is 0 square units.

learn more about square units here

https://brainly.com/question/2411992

#SPJ11

Events A and C as well as events B and D are independent.

Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

In the given events, it is not explicitly mentioned how the events are related. However, based on typical assumptions about burrito ingredients and customer preferences, we can make some assumptions:

Assuming that the choice of meat (chicken or carne asada) and the choice of beans (black beans or pinto beans) are independent of each other, we can conclude that events A (The burrito is a chicken burrito) and C (The customer requested black beans) are independent. The choice of chicken meat in the burrito does not affect the probability of the customer requesting black beans.

Similarly, events B (The burrito is a carne asada burrito) and D (The customer requested pinto beans) are independent. The choice of carne asada meat in the burrito does not affect the probability of the customer requesting pinto beans.

So, based on these assumptions, events A and C as well as events B and D are independent.

To learn more about probability

https://brainly.com/question/13604758

#SPJ11

Answer:

yes

Step-by-step explanation:

if it ends at 430 he will have 30 min before his appoionment

Answer:

f(3) = 9

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x), that is

f(3) = 2(3) + 3 = 6 + 3 = 9

Answer:

f(3) = 9

Step-by-step explanation:

f(3) = 2x + 3

input the 3 into all x values since it is f(x) basically it tells you the value of x

f(3) = 2(3) + 3

f(3) = 9

Answer:

2.5, 5, 7, 8

Step-by-step explanation:

To calculate the 90% confidence interval for the given random sample of 5 observations, we need to find the sample mean and sample standard deviation.

The sample mean (X bar) can be calculated by summing up all the observations and dividing by the sample size (n):

X (bar) = (15 + 10 + 16 + 19 + 14) / 5 = 14.8

Next, we need to calculate the sample standard deviation (s). The formula for the sample standard deviation is as follows:

s = sqrt(Σ(xi - x(bar))² / (n - 1))

Using the formula, we calculate the sample standard deviation:

s = sqrt(((15 - 14.8)² + (10 - 14.8)² + (16 - 14.8)² + (19 - 14.8)² + (14 - 14.8)²) / (5 - 1))

 = sqrt((0.16 + 18.24 + 0.16 + 17.64 + 0.16) / 4)

 = sqrt(36.4 / 4)

 = sqrt(9.1)

 ≈ 3.02

Now, we can calculate the margin of error (E) using the formula:

E = t * (s / sqrt(n))

Since the sample size is small (n = 5) and the confidence level is 90%, we need to use the t-distribution. The degrees of freedom (df) for a sample size of 5 and 90% confidence level is 4. From the t-distribution table, the corresponding t-value is approximately 2.776. Plugging in the values:

E = 2.776 * (3.02 / sqrt(5))

 ≈ 3.26

Finally, we can construct the confidence interval by subtracting and adding the margin of error to the sample mean:

Confidence interval = (x(bar) - E, x(bar) + E)

                  = (14.8 - 3.26, 14.8 + 3.26)

                  ≈ (11.54, 18.06)

Therefore, the 90% confidence interval for the given random sample is approximately (11.54, 18.06).

To learn more about standard deviation click here: brainly.com/question/29115611

#SPJ11

Simplify expression

So our final answer will be:

Answer:

Step-by-step explanation:

It's 63 degrees F below zero.

Temperature is measured on a number line. You can get confused by the freezing point of water which is +32.

0 represents the coldest temperature that those who used Fahrenheit thought the temperature would go. Tell that to the people who lived through - 63.

So  the answer if - when the temperature goes below 0.

Answer:

3/4 cups

Step-by-step explanation:

1/8 for 1/3 refipe

1/8 * 3 = 3/8

3/8 for 1 whole recipe

3/8 * 2 = 6/8 = 3/4

3/4 for 2 whole recipes

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

surge tank: https://brainly.com/question/14143728

#SPJ11

Answer:

The first one

Step-by-step explanation:

I think that for you to convert miles to feet you would need to cancel out miles which means miles goes in the bottom. I'm not sure though

Answer:

8

Step-by-step explanation:

\( \frac{80}{100} \times 10 = 8\)

Answer:

No, it is not possible

Step-by-step explanation:

Required

Is it possible to have a line segment with: \(m = \infty\)

To answer this question, we will interpret the steepness as slope.

So, we have:

\(m = \infty\)

The interpretation of a line with: \(m = \infty\) is:

It starts from (x,y_1) and ends at (x,y_2)

When the slope (m) is then calculated, we have:

\(m = \frac{y_2 - y_1}{x_1 - x_1}\)

\(m = \frac{y_2 - y_1}{0}\)

\(m = \infty\)

What this means is that, the line has no end points.

A line segment as described here means a line that has endpoints (i.e. a finite starting point and a finite finish point)

So, we've established that: \(m = \infty\) means no endpoints and a line segment has end points, then we can conclude that it is not possible to create a line segment with \(m = \infty\)

Steepness of a  line is the rise or fall of it at a sharp angle.The Is it not possible to create a line segment with infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.

Steepness of a  line is the rise or fall of it at a sharp angle. The slope of the line describe the steepness of a line.

A infinite steepness refers to a vertical line on the graph. When the line with infinite steepness plotted on the graph it is only parallel to the y axis. The change on the x axis is zero and does not move in the x axis, when a line has infinite steepness.

To understand it better suppose a line is passed through the point \((x_1,y_1)\) and \((x_2,y_2)\) points. For such line the slope of the line can be given as,

\(m=\dfrac{y_2-y_1}{x_2-x_1} \)

The line with infinite steepness does not move in the x axis. The coordinate of the x axis same for the line. Thus,

\(x_2=x_1\)

The slope for such line is,

\(m=\dfrac{y_2-y_1}{x_1-x_1} \)

\(m=\dfrac{y_2-y_1}{0} \)

\(m=\infty\)

Thus the slope of the line is infinite. But the line With no finite point is not possible to plot.

Hence the Is it not possible to create a line segment with "infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.

Learn more about the steepness of the line here;

https://brainly.com/question/806542

Answer:

b = 10.24 units.

Step-by-step explanation:

The adjacent is 10.24 units long.

Please let me know if this helped!!!

The angle of the plane when it rose from the ground is 64.8 degrees

Given the following parameters from the question

Altitude of the airplane H =  500m

Horizontal distance from airport "d"  = 235

Required

angle of elevation

According to the trigonometry identity

tan x = opposite/adjacent

tan x = H/d
tan x = 500/235

tan x = 2.1277

x = arctan(2.1277)

x = 64.8 degrees

The angle of the plane when it rose from the ground is 64.8 degrees

Learn more on angle of elevation here: https://brainly.com/question/88158

#SPJ1

Main Answer:

c₁ = 2, c₂ = 4, a₁ = 6, a₂ = 0, b₁ = 0, b₂ = 0.

Explanation:

In the given problem, we are provided with a periodic signal x(t) and we need to determine the coefficients c₁, c₂, a₁, a₂, b₁, and b₂ using the given Fourier series representation.

Step 1: Find c₁ and c₂:

c₁ is the coefficient of cos(wo₁t) in x(t), and c₂ is the coefficient of cos(wo₂t) in x(t). In the given signal x(t) = 2cos(5t) + 4cos(15t) + 6sin(20t), we can see that there is no term of the form cos(wo₁t) or cos(wo₂t). Therefore, c₁ and c₂ both equal 0.

Step 2: Find a₁ and a₂:

a₁ is the coefficient of cos(wo₁t) in x(t), and a₂ is the coefficient of cos(wo₂t) in x(t). We can calculate these coefficients using the formula:

an = (2/T) * ∫[0 to T] x(t) * cos(nwot) dt

For the given signal x(t) = 2cos(5t) + 4cos(15t) + 6sin(20t), we have:

a₁ = (2/1) * ∫[0 to 1] (2cos(5t) + 4cos(15t) + 6sin(20t)) * cos(wo₁t) dt

  = (2/1) * ∫[0 to 1] (2cos(5t)) * cos(wo₁t) dt

  = (2/1) * ∫[0 to 1] (2cos(5t)) * cos(5t) dt

  = (2/1) * ∫[0 to 1] (2cos²(5t)) dt

  = (2/1) * [∫[0 to 1] cos²(5t) dt]

  = (2/1) * [∫[0 to 1] (1 + cos(10t))/2 dt]

  = (2/1) * [(t/2) + (sin(10t))/(20)] (evaluated from 0 to 1)

  = 1/2 + sin(10)/(10)

Similarly, a₂ = 0 as there is no term of the form cos(wo₂t) in the given signal.

Step 3: Find b₁ and b₂:

b₁ is the coefficient of sin(wo₁t) in x(t), and b₂ is the coefficient of sin(wo₂t) in x(t). We can calculate these coefficients using the formula:

bn = (2/T) * ∫[0 to T] x(t) * sin(nwot) dt

For the given signal x(t) = 2cos(5t) + 4cos(15t) + 6sin(20t), we have:

b₁ = (2/1) * ∫[0 to 1] (2cos(5t) + 4cos(15t) + 6sin(20t)) * sin(wo₁t) dt

  = (2/1) * ∫[0 to 1] (6sin(20t)) * sin(5t) dt

Learn more about:periodic signal x

brainly.com/question/15684052

#SPJ11