does someone mind helping me out with this question? Thank you!

Answer:

I would say the answer is the second graph.

Step-by-step explanation:

This is because this is the only graph that goes through the point (-6,-6).

I hope this is what your question was asking!

Answer:

36.869 or 36.87

Step-by-step explanation:

first, you find which trig function you are using. in this case, tangent.

then, you put calculate the arctan(3/4) which is 36.96989765

The measure of angle x = 36.9°

"It is a triangle in which one of the angle measures 90° "

"It is the longest side of the right triangle."

"In a right triangle \(a^{2}+ b^{2}= c^{2}\) where c is the hypotenuse and a, b are other two sides of the right triangle."

"In a right triangle, sine of angle \(\theta\) is the ratio of the opposite side of angle \(\theta\) to the hypotenuse."

For given question

First we find the hypotenuse of the right triangle.

Let 'h' be the hypotenuse of the right triangle.

Using Pythagoras theorem,

\(h^{2} =3^{2} +4^{2} \\\\h^{2} =9+16\\\\h^{2} =25\\\\h=5\)

We find the sine of angle 'x'

\(\Rightarrow sin(x)=\frac{opposite~side~of~x}{hypotenuses} \\\\\Rightarrow sin(x)=\frac{3}{5}\\\\ \Rightarrow sin(x)=0.6\\\\\Rightarrow x=sin^{-1}(0.6)\\\\\Rightarrow x=36.9^{\circ}\)

Therefore, x = 36.9°

Learn more about the sine angle here:

https://brainly.com/question/13256520

#SPJ2

Answer:

1: 5 2: 13 3: sqr root of 15 4: 1 5: 1 6: 3

Step-by-step explanation:

Follow the formula a squared plus b squared equals c squared. C is always the longest side of the equation. So figure out your variables to fill in and in the end, square root your remaining answer.

To bring the 2,000 kg wagon to rest, the buffer stop needs enough springs to absorb its kinetic energy. The number of springs and their stiffness can be calculated using given parameters and formulas.



To calculate the number of springs required in the buffer stop, we need to find the energy of motion that needs to be absorbed. The kinetic energy (KE) of the wagon is given by KE = (1/2)mv^2, where m is the mass (2,000 kg) and v is the velocity (0.69 m/s). The KE is 477.9 J.Next, we calculate the potential energy stored in the compressed springs. The compression distance is 15 cm, which is 0.15 m. The potential energy (PE) stored in each spring is given by PE = (1/2)kx^2, where k is the stiffness of the spring and x is the compression distance.

The total energy absorbed by all the springs is equal to the kinetic energy of the wagon. Therefore, the number of springs required is given by N = KE / PE, where N is the number of springs.To determine the stiffness of the spring, we use the formula k = (Gd^4) / (8nD^3), where G is the shear modulus (0.8 x 10^5 N/mm^2), d is the wire diameter (2 cm), n is the number of coils (15), and D is the mean diameter of the coils (20 cm).

By substituting the values into the equations, we can find the number of springs and the stiffness of each spring.

To learn more about parameters click here

brainly.com/question/13566907

#SPJ11

(a) Unit vector in the direction of (7, -2): (7/√53, -2/√53) (b) Unit vector with magnitude 125 and angle 144°: (125cos(8π/5), 125sin(8π/5)) (c) Unit vector in the direction of (-1, 5, 4): (-1/√42, 5/√42, 4/√42)

(a) To determine a unit vector in the direction of vector (7, -2), divide the vector by its magnitude.

(b) To find a unit vector in the direction of a vector A with magnitude 125 and angle 144°, convert the angle to radians and use cosine and sine functions to calculate the components.

(c) For the vector (-1, 5, 4), divide each component by the magnitude of the vector to obtain a unit vector.

(a) The magnitude of vector (7, -2) is √(7^2 + (-2)^2) = √(49 + 4) = √53. Dividing the vector by its magnitude gives a unit vector (7/√53, -2/√53).

(b) To find the components of a vector with magnitude 125 and angle 144°, we use the formula: A = (Acosθ, Asinθ), where A is the magnitude and θ is the angle in radians. Converting 144° to radians, we have θ = (144° * π/180) = (8π/5). Calculating the components, we get (125cos(8π/5), 125sin(8π/5)).

(c) The magnitude of vector (-1, 5, 4) is √((-1)^2 + 5^2 + 4^2) = √(1 + 25 + 16) = √42. Dividing each component by the magnitude, we obtain the unit vector (-1/√42, 5/√42, 4/√42).

These unit vectors have a magnitude of 1 and represent the direction of the given vectors.

To learn more about functions  click here

brainly.com/question/30721594

#SPJ11

Answer:             5

Step-by-step explanation: because

Answer:

-1

Explanation:

The x-intercept of a line is the point where the line crosses the x-axis.

The y-coordinate of the x-intercept is always 0.

In this case, we can see that the line crosses the x-axis where x = -1. Therefore the x-intercept of the equation is -1.

Answer: The answer is 0.09375, or about 3/32.

Lakeside Olds can expect around 2.6 automobiles to be lined up at the opening time for service.

To find the expected number of automobiles lined up at the opening time, we can use the following  formula is used

Expected value = Σ (number of automobiles * probability)

Using the probability distribution provided in the question, we have:

Expected value = (10.20) + (20.20) + (30.40) + (40.20)

Expected value = 0.20 + 0.40 + 1.20 + 0.80

Expected value = 2.6

Therefore, on a typical day, Lakeside Olds can expect around 2.6 automobiles to be lined up at the opening time for service.

Note that since the expected value is not a whole number, it is an estimate and may not represent the actual number of automobiles on any given day.

learn more about the probability distribution

brainly.com/question/14210034

#SPJ4

Answer:

find the width and length

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{12}{f}\) = \(\frac{1}{2}\) ( cross- multiply )

f = 24

----------------------------------------------------------------

Using the cosine ratio and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{e}{f}\) = \(\frac{e}{24}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2e = 24\(\sqrt{3}\) ( divide both sides by 2 )

e = 12\(\sqrt{3}\)

Answer:

F=24 and e=12\(\sqrt{3}\)

Step-by-step explanation:

Answer:

a. P(X = 0) = 0.134

P(X = 1) = 0.271

P(X = 2) = 0.272

P(X = 3) = 0.1812

b. P(X > 3) = 0.142

Step-by-step explanation:

The given parameters are

Number of defective component per 1000 = 8

Therefore, the probability that the specific component is defective = 8/1000 = 0.008

The binomial probability is given as follows;

\(P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}\)

\(P(X = 0) = \dbinom{250}{0} \left (\dfrac{1}{125} \right )^{0}\left (\dfrac{124}{125} \right )^{250-0} = 0.134\)

\(P(X = 1) = \dbinom{250}{1} \left (\dfrac{1}{125} \right )^{1}\left (\dfrac{124}{125} \right )^{249} = 0.271\)

\(P(X = 2) = \dbinom{250}{2} \left (\dfrac{1}{125} \right )^{2}\left (\dfrac{124}{125} \right )^{248} = 0.272\)

\(P(X = 3) = \dbinom{250}{3} \left (\dfrac{1}{125} \right )^{3}\left (\dfrac{124}{125} \right )^{247} = 0.1812\)

The probability that the box contains at least 3 defectives is the probability P(X > 3) = 1 - (P(X = 3) +  P(X = 2) +  P(X = 1) +  P(X = 0))  

Which gives;

P(X > 3) = 1 - (0.1812 - 0.271 - 0.272 - 0.134) = 0.142

Answer:

71

Step-by-step explanation:

I am only able to really help with the first part of this question. I am very sorry about that!

Lets take a look at the sequence!

It starts with 3 and then goes to 7. Which means it is adding 4 each time it continues. To confirm this, lets look at 11. 7 goes to 11, which again means it is adding 4! So we understand and now the pattern!

Rather than doing a buttload of work, lets do it an easier way. Lets plug 18 into a  calculator!

If you have one, all you need to do is add 3 plus 4. Then plus for again. That should start a ripple effect if you press enter. On the 18 term it would be 71!

Hope that helped.

The probability of drawing two red buttons is:

P = 0.0326

There are:

So there are a total of 32 + 48 + 44 + 51 = 175

We assume that all the buttons have the same probability to being randomly drawn.

For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:

p = 32/175

For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:

q = 31/174

Finally, the joint probability is given by the product between p and q, this gives:

p*q = (32/175)*(31/174) = 0.0326

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

ఊhe directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.

To find the directional derivative of the function f(x, y, z) = 2z^2x + y^3 at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j, we can use the formula for the directional derivative:

D_v(f) = ∇f · v

where ∇f is the gradient of f.

Taking the partial derivatives of f with respect to each variable, we have:

∂f/∂x = 2z^2

∂f/∂y = 3y^2

∂f/∂z = 4xz

Evaluating these partial derivatives at the point (1, 2, 2), we get:

∂f/∂x = 2(2)^2 = 8

∂f/∂y = 3(2)^2 = 12

∂f/∂z = 4(1)(2) = 8

Therefore, the gradient ∇f at (1, 2, 2) is given by ∇f = 8i + 12j + 8k.

Substituting the values into the directional derivative formula, we have:

D_v(f) = ∇f · v = (8i + 12j + 8k) · (1/5√2)i + (1/5√2)j

= 8(1/5√2) + 12(1/5√2) + 8(0)

= (8/5√2) + (12/5√2)

= (8 + 12)/(5√2)

= 20/(5√2)

= 4/√2

= 4√2/2

= 2√2

Hence, the directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.

Learn more about vector

https://brainly.com/question/25705666

#SPJ11

Answer:

3x^2 + 28x + 61

Step-by-step explanation:

I used MathPapa Algebra Calculator

Answer:

Where is the Question?

Step-by-step explanation:

Answer:

a repeating term of .3

Step-by-step explanation:

1/3 = 1 divided by 3

1 divided by 3 = .33333333333333333333

that is called a repeating term

\(\frac{1}{3}\) = .3

Answer: 1/3 is .3333333 on going

it cant be a whole number

Answer:

7 is A

8 is A

Answer:

7.a

8.a

Step-by-step explanation:

Answer:

y + 27/4

Step-by-step explanation:

Took the test

The product of the expression sixty-four sixty-fifths times twenty will be less than 20. The correct option is D.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The product of the expression sixty-four sixty-fifths times twenty will be:

= 64/65 × 20

= 0.985 × 20

= 19.7

This is less than 20.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

8x^(3/2)

Step-by-step explanation:

We can simplify the expression first:

2sqrt(x)4x^(-5/2)=8x^(-3/2)

Now we can rewrite this in the form kx^2:

8x^(=3/2)=8(x^(-3/2))(x^(5/2))/x^2

=8(x^2/x^3)(x^(1/2))/x^2

=8x^(-1/2)

therefore, 2sqrt(x)4x^(-5/2) is equivalent to 8x^(-1/2), which can be written in the form kx^2 as 8x^(3/2)

I hope this helps!

Given the value of L as 9, we have a matrix A with entries (1 1 0 2 9). The reduced echelon form of A will determine the general solutions of the homogeneous system Ac = 0.

To find the reduced echelon form of matrix A, we perform row operations to simplify the matrix. However, without the full matrix A, it is not possible to determine the specific reduced echelon form.

The general solutions of the homogeneous system Ac = 0 can be obtained by solving the system of linear equations. The solutions will depend on the specific reduced echelon form of A.

If the three vectors in matrix A are linearly dependent, it means that at least one of them can be written as a linear combination of the others. In this case, the value of x can be determined by solving the corresponding linear equation. Overall, without the complete matrix A, it is not possible to provide a detailed answer regarding the reduced echelon form, general solutions, and determinant.

Learn more about linear equation here:

https://brainly.com/question/29739212

#SPJ11

Answer:

hi :)

Step-by-step explanation:

0 yrs is 350 or 500 im not sure but, and then 6 yrs is 1350 $

Option (a) it is the same as the gross pay. is true statement about a person who is claiming 5 exemptions and biweekly salary of $ 840.

Yοur incοme is referred tο be yοur grοss pay if it is unaffected by taxes and οther withhοldings.

When referring tο yοur yearly grοss incοme, the phrase "annual pay" is frequently used. Net pay is the amοunt that remains after deductiοns like sοcial security and incοme tax have been made.

the persοn want mοre exemptiοns, it means that persοn thinks that, his οr her salary is less than οthers when cοmpared with οther emplοyee having mοre expenditure, and he οr she dοes nοt want tο pay tax οr will pay minimum amοunt οf tax tο the Gοvernment.

Sο, tο dο this he want exemptiοns.

As,persοn earns a grοss biweekly salary οf $840 and claims 5 exemptiοns.

→it means he οr she want tο reduce his tοtal tax tο minimum amοunt.

→it means he οr she dοes nοt have enοugh mοney in his οr her pοcket thrοughοut the year.

→ there will be nο tax deductiοn οn persοn net pay.And if he fοund caught cheating , he will have tο pay Penality.

Sο, οptiοn (a)  it is the same as the grοss pay. is true statement abοut a persοn whο is claiming 5 exemptiοns and biweekly salary οf $ 840.

Learn more about Gross pay

brainly.com/question/14690804

#SPJ1

Based on the given triangles, x is 9/4 and y is 15/4 (B).

To anwer this question, we need to understand that we have 3 different  triangles in one picture:

First, we will focus on the biggest triangle ΔABC. We have 3 sides:

Using the phytagoras theorem, we can get the equation of:

AC² = AB² + BC²

(4 + x)² = 5² + y²

16 + 8x + x² = 25 + y² ... (i)

Next, we will focus on the third triangle, BCD. We have 3 different sides:

Using the phytagoras theorem, we can get the second equation:

BC² = CD² + BD²

y² = x² + 3²

y² = 9 + x² ... (ii)

We can subtitute the equation (ii) into equation (i) to eliminate y:

16 + 8x + x² = 25 + y²

16 + 8x + x² = 25 + (9 + x²)

16 + 8x + x² = 34 + x²

16 + 8x = 34

8x = 18

x = 9/4 ... (iii)

By subtitute the equation (iii) into equation (ii), we can get the value of y:

y² = 9 + x²

y² = 9 + (9/4)²

y² = 9 + (81/16)

y² = 144 + 81

           16

y² = 225/16

y = 15/4

Learn more about Triangle here: brainly.com/question/2773823

#SPJ1