Vector v has a magnitude of 30 and a direction θ = 45°. What are the magnitude and direction of 3v?

Step-by-step explanation:

parallel: y=7/3x

perpendicular: y=-3/7x

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

Learn more about inequalities here:

https://brainly.com/question/11613554

#SPJ1

9514 1404 393

Answer:

  1 solution

Step-by-step explanation:

The coefficients of x are different on each side of the equal sign, so this equation has one solution.

_____

Additional comment

If the x-coefficients are the same on each side of the equal sign, then you need to look at the constants. If they are the same, there are an infinite number of solutions; if they are different, no solutions.

This equation simplifies to ...

  3x -3 = 2x +9

  x = 12 . . . . . . . . add 3-2x to both sides

The solution of expression by applying distributive property and combining like terms,

⇒ x = 12

Given that,

The mathematical expression is,

⇒ 3(x - 1) = 2x + 9

Now, simplify the expression by applying distributive property and combining like terms,

⇒ 3(x - 1) = 2x + 9

Apply distributive property,

⇒ 3x - 3 = 2x + 9

Combine like terms,

⇒ 3x - 2x = 9 + 3

Therefore, the solution of expression is,

⇒ x = 12

To learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Step-by-step explanation:

$3.79 ÷ 19.5 = .194

answer = $.19 per oz

Answer:

0.19

Step-by-step explanation:

I took the test and passed

The additional information required to prove  that ΔXYZ and ΔFEG are congruent is  ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.

Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.

When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.

∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned

XZ ≅ FG  and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles

XY ≅ EF and ZY ≅ FG, is not possible.

∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.

So, the correct answer is option 1 and option 5.

For more information regarding Congruency of triangle, kindly refer

https://brainly.com/question/30094434

#SPJ4

The complete question is as follows and image is given below

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and ∠Y ≅ ∠E

XZ ≅ FG and ZY ≅ GE

XY ≅ EF and ZY ≅ FG

∠Z ≅ ∠G and XY ≅ FE

Answer:

1 and 5 are correct

Step-by-step explanation:

The answer is B. anticipatory socialization. Aman's anticipation and excitement about his new role as a computer scientist indicate his engagement in anticipatory socialization.

Anticipatory socialization refers to the process through which individuals learn and internalize the values, norms, and behaviors associated with a future role or status they aspire to have. In this case, Aman's graduation from college and his upcoming job as a computer scientist represent a transition to a new role.

As he looks forward to this new position, he is likely engaging in activities such as researching the company, learning about the responsibilities of a computer scientist, and acquiring the necessary skills to excel in his job. By doing so, Aman is preparing himself and adjusting his attitudes and behaviors to fit the expectations of his future role, which characterizes anticipatory socialization.

Learn more about anticipatory socialization here:

https://brainly.com/question/32050760

#SPJ11

The complete question is:

Aman is graduating from college and looking forward to his new role in his job as a computer scientist for a large firm. This is an example of

A.the imagination stage

B.anticipatory socialization.

C.the game stage.

D.looking-glass self

Yes, this is a binomial distribution because we are flipping the same coin ten times and the probability of a head is constant at 1/2 for each flip.

The number of heads, X, is a count of successes in a fixed number of trials, making it a binomial random variable.
Your question asks whether X is a binomial random variable or not. X represents the number of heads obtained from flipping the same coin ten times, with the probability of a head being ½.

Your answer: Yes, X is a binomial random variable. This is because there are a fixed number of trials (10 coin flips), each trial has only two outcomes (head or tail), the trials are independent, and the probability of success (a head) remains constant at ½.

Visit here to learn more about binomial distribution  : https://brainly.com/question/14565246
#SPJ11

Option E, "Fail to reject the null hypothesis but do not accept the null hypothesis as true either," is the correct conclusion based on a p-value of 0.75.

In statistical hypothesis testing, the p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing a test statistic as extreme as, or more extreme than, the one calculated from the sample data, assuming the null hypothesis is true.

When interpreting the p-value, we compare it to a predetermined significance level (often denoted as α). If the p-value is less than or equal to α, typically 0.05, it is considered statistically significant, and we reject the null hypothesis in favor of the alternative hypothesis. This means that we have enough evidence to suggest that the alternative hypothesis is likely to be true.

However, if the p-value is greater than α, as in the case of 0.75, it is not statistically significant. In this scenario, we fail to reject the null hypothesis. This does not mean that the null hypothesis is proven to be true or that the alternative hypothesis is false. It simply means that we do not have sufficient evidence to support the alternative hypothesis.

It acknowledges that the observed data does not provide strong enough evidence to reject the null hypothesis, but it does not allow us to definitively accept or confirm the null hypothesis either. It suggests that further investigation or additional evidence may be needed to draw a more conclusive inference.

Therefore, option E, "Fail to reject the null hypothesis but do not accept the null hypothesis as true either," is the correct conclusion based on a p-value of 0.75.

To know more about p-value check the below link:

https://brainly.com/question/13786078

#SPJ4

Answer:

A) 15

B) 57

C) 7

D) 19

Step-by-step explanation:

a) 3x+y^2=

  Insert the values

   3(2) + 3^2

   6+9 (3^2 = 3 x 3 = 9)

    = 15

b) 3x^2+5y^2=

   Insert the values

   3(2)^2 + 5(3)^2

   3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)

    3(4) + 5(9)

     12+ 45

    = 57

c) 2x+y

   insert the values

   2(2) + 3

    4 + 3

    = 7

d) 5y+x^2=

    Insert the values

    5(3)+ 2^2

     15 + (2^2 = 2x2 = 4)

      15+4

       = 19

a)The linear equation is C=25n + 2500 to produce n 3000 toys, b) The total cost to produce 3000 toys is $77,500, c) With $32500, a total of 1200 toys can be produced in Pinwheel Industries.

An equation is a mathematical statement with an equal symbol (=) between the algebraic expression. Equations with a degree of one are called linear equations. It is the straight line's equation. Whenever values are substituted for the unknown values in linear equations, the solutions produce values that make the equation true. Since there is only one variable, there is only one solution. For instance, the equation x + 2 = 0 has just one solution, which is x = -2. In the case of the two-variable linear equation, however, the solutions are determined as the Cartesian coordinates of a point on the Euclidean plane.

The three different types of linear equations are: 1) Standard Form

2) The slope intercept form

3)Point Slope Form

How to solve?

A) Linear equation y=mx+b,

C (total cost) = y and n (number of toys) =x.

C=25n + 2500

B) Put n=1750

C= 25(3000) + 2500

C= $77,500

C)

32500= 25n +2500

30000=25n

n = 1200

To know more about linear equations, visit:

brainly.com/question/11897796

#SPJ4

This belief best illustrates the phenomenon known as political polarization, where individuals strongly align with their own political ideology and tend to view those with opposing beliefs as less correct and less trustworthy.

Political polarization refers to the deep divide and strong ideological alignment within a society, leading individuals to firmly adhere to their own political beliefs and view those with opposing views as less valid or trustworthy. Kate and Carmine's belief reflects this polarized mindset, where they both believe that their own political ideology is more correct and reliable compared to the opposing ideology.

Political polarization often leads to a lack of understanding and empathy between individuals with differing political beliefs, as each side tends to dismiss or devalue the perspectives of the other. This can hinder constructive dialogue and compromise, making it difficult to find common ground or reach consensus on important political issues. The phenomenon of political polarization has become increasingly prominent in many societies, shaping political discourse and contributing to social divisions.

Learn more about political polarization here:

https://brainly.com/question/30010661

#SPJ11

1) We are 90% confident that the average boot time of all computers with an SSD is greater than the average of all computers with an HDD.

Option 5) We are 90% confident that the difference between the two sample means falls within the interval. This means that we can say with 90% confidence that the true difference in average boot times between computers with SSDs and HDDs is somewhere between 4.2 and 13 seconds. We cannot make any conclusions about which type of drive has a faster boot time or whether there is a significant difference between them without further analysis or information.
1) We are 90% confident that the average boot time of all computers with an SSD is greater than the average of all computers with an HDD.

To learn more about average, click here:

brainly.com/question/24057012

#SPJ11

The standard error of the estimate is 0.47895943. It tells us that the average distance between the predicted values and the actual values of petal length is about 0.479 cm.

They may stand for adoration, courage, hope, faith, and wisdom. Additional meanings are attached to particular flower hues. A bouquet of blue iris flowers conveys a message of optimism and trust, while purple iris conveys knowledge and praise.

The interpretation of the confidence interval for the regression y-intercept is:

The Iris Flower Data Set regression output shows that we are using petal width to predict petal length.

The multiple R value is 0.962746025, which indicates a strong positive correlation between petal width and petal length.

The R Square value is 0.926879908, which means that approximately 92.7% of the variation in petal length can be explained by petal width.

The significance F value is 1876.067473, and the associated p-value is 5.90274E-86. This indicates that the overall regression model is statistically significant, and that at least one of the predictors (petal width) is significantly related to the response variable (petal length).

The regression equation for predicting petal length based on petal width is:

petal length = 1.079463302 + 2.232113915(petal width)

The standard error of the estimate is 0.47895943. It tells us that the average distance between the predicted values and the actual values of petal length is about 0.479 cm.

To know more about average visit:-

brainly.com/question/24057012

#SPJ1

Complete question -

Answer:

C. Circle X, circle Z, circle Y

Step-by-step explanation:

X has the largest area; followed by Z and then Y

\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

\(-3y=-2x+12\)

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

Moment of inertia is \(I_{1} = \frac{5Ir^{2} }{4}\) for rotation about a diameter.

What is momentum ?

Whenever you toss a ball at someone as well as it smacks him square in the face. It indicates how difficult it would have been to stop the thing. A baseball is swooping through the air. A large truck is moving. A bullet discharged from such a firearm. Momentum is important in Physics because it describes the relationship between speed, mass and direction. It also describes the force needed to stop objects and to keep them in motion. A seemingly small object can exert a large amount of force if it has enough momentum.

Have given ,

radius of a sphere = r and moment of inertia = \(I_{1}\)

\(I = \frac{1}{2} Mr^{2}\)

∵ \(M = \frac{5}{2} Mr^{2}\)

∴ \(I_{1} = \frac{5Ir^{2} }{4}\)

Hence , Moment of inertia is \(I_{1} = \frac{5Ir^{2} }{4}\) for rotation about a diameter.

To learn more about momentum visit : brainly.com/question/24030570

#SPJ4

Answer:

A) 40 + d

B) 45 days

Step-by-step explanation:

A)

total cost = (cost of the air conditioner itself) + (money charged per day)*(days)

cost of air conditioner itself = $40

money charged per day = $1

days = d

40 + 1*d

= 40 + d

B)

total cost = 40 + d

total cost = $85

85 = 40 + d

45 = d

Time used the air conditioner for 45 days.

Answer:

52

Step-by-step explanation:

yes

Answer:

It is in integer

Step-by-step explanation:

An integer is any number positive or negative. A whole number would not have a decimal and if it were a rational number it could be written as a ratio.

Answer:

See below

Step-by-step explanation:

1. Which of the given mathematical sentences are quadratic equations?

The rest are quadratic inequalities

2. How do you describe quadratic equation?

3. How would you describe those mathematical sentences which are not

quadratic equations?

4. How are they different from those mathematical sentences which are not

quadratic equations?​

Answer & Step-by-step explanation:

7. The slope-intercept form of a linear equation is y = mx+b where m is the slope and b is the y-intercept. Looking at the two equations, we can rearrange them to be

y = -8x+1

y = 8x+2

From this, we can see that the m, or slope, of the equations are -8 and 8 respectively. Thus, we can determine that the steepness of both equations are equal though one is pointed downwards and the other upwards.

8. We already know that m is the slope so if the function is increasing, the slope is going upwards, thus m must be larger than 0.

Next, we plug in (4,0) into the function to determine b.

f(x) = mx + b

0 = m(4) + b

Since we have determined that m is larger than 0 and thus a positive number, m*4 will be a positive number. The only way for m(4) + b to equal to 0 then is for b to be a negative number, smaller than 0.

Answer:

6). 7 years , 29 members ; 7). $5 is the price of the child movie ticket, $15 is the price of the adult movie ticket.

Step-by-step explanation:

6). y = 50 - 3x

    y = 15 + 2x

15 + 2x = 50 - 3x

5x = 35

x = 7 years

y = 15 +2(7)

y = 29 members

In 7 years game club and sport club will have 29 members.

7). 2a + 3c = 45 ......... (1)

    2a + 2c = 40 ......... (2)

(1) - (2)

c = $5 is the price of the child movie ticket

2a + 2(5) = 40

a = $15 is the price of the adult movie ticket

Answer: y = 8/3x + 4

Answer:

3x - y = 20

a = 3, b = -1, and c = 20

Step-by-step explanation:

y + 2 = 3(x - 6) => y + 2 = 3x - 18 => 3x - y = 20

Answer:

17/36

Step-by-step explanation:

We have to find a common denominator, so the first common denominator for 4 and 9 is 36. 9x4=36, so we multiply 2 by 4, which equals 8. 4x9-36, so we multiply the 1 by 9, and get 9. Then we add the numerators, 8 and 9, and get 17. So it's 17/36

Answer:

b° = 113°

Step-by-step explanation:

b°and 67° are same-side interior angles

So, b° + 67° = 180°

b° = 180°- 67°

b° = 113°

Answer:

$409.15

Step-by-step explanation:

The finance charge for September is $10.

Unpaid Balance at End of Month: $665.49 + $38.45 + $10.00 + $16.67 - $321.54 - $38.92 = $409.15.

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3