Given a || b. <1 is 12x+8 and <6 is -10x-10. What is the value of x?

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

Know more about the vectors here:
https://brainly.com/question/30854499

#SPJ8

The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

hmmmm i think there is another part of this

The distance between point A(-3,7) and line (1/3x-2) is 3√10. The length of the line segment connecting two points in a plane is defined as distance between two points.

The formula for calculating the distance between two points is typically given as d=√((x2 – x1)² + (y2 – y1)²). This formula is used to calculate the distance between two points on a coordinate plane or an x-y plane.

The shortest distance from a given point to any point on an infinite straight line is the distance from a point to a line. It is the perpendicular distance between the point and the line, as well as the length of the line segment connecting the point to the nearest point on the line.

The distance from the point (o, yo) to the line Ax + By + C = 0 is given by:

d= | Axo+Byo+C | / √A2+ B2

To apply this formula, we first need to express the line in standard form

y = 1/3 x -2

3* y = 3 (1/3 x -2)

3*y =x-6

x - 3y - 6 = 0

After substituting: A = 1, B = -3, C=-6, x0 = -3 and yo = 7 we have:

d= | 11-(-3)+(-3)-7+(-6) | / √1²+(-3)2

d = | -3-21-6 | / √1+9

d= | -30 | / √10

d = 3  √10

The distance between point A(-3,7) and line y= (1/3x-2) is 3√10

To learn more about Distance refer :

https://brainly.com/question/7243416

#SPJ2

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

Read more about algebra here: https://brainly.com/question/4344214

#SPJ1

Answer:so in this yo subrtact the number  12,475 with 950 and i think Im not sure and this is your answer

Step-by-step explanation:

Olivia bought a dress for $120. The tax rate is 9%. What is the total amount Olivia paid for the dress?

Answer:

7.5

Step-by-step explanation:

      9 divided by 120 = 0.075

                  0.075 x 100 = 7.5

Answer:

y = -3

y = 11

Step-by-step explanation:

\(y = \sqrt{x} -7\) where x = 16

\(y = \sqrt{16} -7\\\)

y = 4 - 7

y = -3

y = 4 + I9 - xI    where x = 16

y = 4 + I9 - 16I  

y = 4 + I- 7I  

y = 4 + 7

y= 11

Answer: -3 and 11

Step-by-step explanation:

y
= root(x)-7
= root(16) -7
= 4-7
= -3

y
= 4+modulus (9- x)
= 4+modulus (9-16)
= 4+modulus(-7)
= 4+ 7
= 11

Answer:

6

Step-by-step explanation:

Answer:

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

Find the difference of the initial and used amounts:

Answer:

1.6 < x < 9.6

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

5.6 - 4 < x < 5.6 + 4

1.6 < x < 9.6

Answer:

Domain: {1,2,4}

Step-by-step explanation:

The domain is the input values

We normally list the value in order from smallest to largest and only list the values one time if they appear more than once

Domain: {1,2,4}

Take the input values as domain.

→ 2,1,2,4

Now pick a number once if it is repeated and arrange in ascending order.

Then the domain will be,

→ 1,2,4

Hence, {1,2,4} is the domain of the pairs.

Answer:

sorry I don't know the answer ,but I want to ask u something ,r u a accounting student if yes please comment.i am also a accounting student but on learning stage so I don't know the answer,

Answer:

0-3 and there

Step-by-step explanation:

1. if the person who is zero or a woman or woman would like

2. I think the same way I think it is a lot more minutes and more than a lot

Answer:

-8 and-2

Step-by-step explanation:

its because oe of the point is on the -2 and one is on the -8 also did it on edg  2020

Answer:

Don’t know

Step-by-step explanation:

Sorry

The value of x that will make both lines A and B to be parallel is:  20

The line transversal theorem states that:

If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.

Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:

3x + 20 = 80

3x = 80 - 20

3x = 60

x = 60/3

x = 20

Read more about line transversal theorem at: https://brainly.com/question/24839702

#SPJ1

The 10th term of the geometric sequence whose common ratio is 1/3 and whose first term is 7 is \(\frac{7}{19683}\).

What is  geometric sequence?

A unique kind of sequence is a geometric sequence. Every term in the series (apart from the first term) is multiplied by a fixed amount to determine the following term. In other words, we multiply the current phrase in the geometric sequence by a constant term (called the common ratio), and then divide the current term in the geometric sequence by the same common ratio to discover the previous term in the geometric sequence.

nth term of geometric series

a(n) = a(1) * r^(n-1)

You are given a(1) = 7, r = 1/3 and n = 10.

a(10) = 7 * 1/3^(10-1)

\(7\left(\frac{1}{3}\right)^{10-1}$$\)

Apply exponent rule: \($\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$\)

\($$\begin{aligned}& \left(\frac{1}{3}\right)^{10-1}=\frac{1^{10-1}}{3^{10-1}} \\& =7 \times \frac{1^{10-1}}{3^{10-1}}\end{aligned}$$\)

\($$\begin{aligned}& 1^{10-1}=1 \\& =7 \times \frac{1}{3^{10-1}} \\& 3^{10-1}=19683 \\& =7 \times \frac{1}{19683}\end{aligned}$$\)

Convert element to fraction: \($\quad 7=\frac{7}{1}$\)

\(=\frac{7}{1} \times \frac{1}{19683}$$\)

Apply the fraction rule: \($\frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}$\)

\(=\frac{7 \times 1}{1 \times 19683}$$\)

Multiply the numbers: \($7 \times 1=7$\)

\(=\frac{7}{1 \times 19683}$$\)

Multiply the numbers: \($1 \times 19683=19683$\)

\(=\frac{7}{19683}\)

To learn more about geometric sequence visit:https://brainly.com/question/11266123

#SPJ1

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

Answer:

x=-3

Step-by-step explanation:

How?

so the easiest and quickest way to answer these type of questions are to do the opposite.

so -11+8=-3

if you get a question like

3x+2=17

17-2=15

15 divided by 3=5

so x=5

hope that helps

thank you

Answer:

Confidence Interval = (1.41, 1.59)

Step-by-step explanation:

To construct a confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (margin of error * standard error)

where the standard error is equal to the standard deviation divided by the square root of the sample size.

Given the information provided, we can calculate the standard error as:

standard error = 2.16 / sqrt(1370) = 0.058

Then, we can calculate the margin of error as 0.12.

Substituting these values into the formula, we get:

Confidence Interval = 1.5 ± (0.12 * 0.058)

Confidence Interval = (1.41, 1.59)

Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.

Answer: OD) 216

Step-by-step explanation: 6^3 multiple it three times 6x6x6=216

Answer:

28.45%

Step-by-step explanation:

The price of a new cell phone = $225

With the extended warranty, the total cost comes to $289.

We need to find the percent of the purchase price is the price of the warranty. It can be calculated as follows :

\(\%=\dfrac{|\text{purchase price-extended warrenty price}|}{\text{purchase price}}\times 100\\\\=\dfrac{|225-289|}{225}\times 100\\\\=28.45\%\)

So, the percent of the purchase price is 28.45%.

Answer:

a) EDGE 2021

Step-by-step explanation:

The simplified form of the given expression is x raise to the power of one-thirty.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

Learn more on indices here:

brainly.com/question/10339517

#SPJ1

Answer:

x= -5

Step-by-step explanation:

not right its -5

Answer: The sequence firmed here is the arithmetic progression or sequence

Step-by-step explanation:

The sequence firmed here is the arithmetic progression. The numbers are given as 2,4,6,8,10,12,14,16. Here the first term is 2 and the common difference is (6-4) = 2.

Let's check to confirm. Let's find the 5th term. This will be:

= a + (n - 1)d

= 2 + (5 - 1)2

= 2 + (4 × 2).

= 2 + 8

= 10

The fifty term is 10.

This is correct as shown with the figures given.

The multiples of 3,4,5 would also make up and arithmetic progression.

Answer: -26/15

Step-by-step explanation:

8+7 cause f(x) is 8

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

for more such question on correlation visit

https://brainly.com/question/13879362

#SPJ8

Step-by-step explanation:

1) 180/3=60

2) 90/3=30

3) 180-24-36=120

4) 360-90=270/2=135

Answer:

1. 60 degrees

2. 30 degrees

3 .120 degrees

4. 135 degrees

Step-by-step explanation:

Supplementary angles add up to 180

No 1 .180÷3=60 degrees

Angle A=60degrees

No 3 .24+36=60

180-60=120

Angle A=120 degrees

No 2 . Compulsory angles add up to 90

90÷3=30 degrees

Angle A = 30 degrees

No 4 the angles on the diagram add up to 360 degrees

One is 90 degrees

The 2nd and 3rd are equal

360-90=270

270÷2=135 degrees

Answer:

Step-by-step explanation:

An eigenvalue of n × n is a function of a scalar \(\lambda\)  considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =  

Suppose the matrix \(A = \left[\begin{array}{cc}-1&-1\\2&1\\ \end{array}\right]\)

Thus, the equation of the determinant (A - \(\lambda\)1) = 0

This implies that:

\(\left[\begin{array}{cc}-1-\lambda &-1\\2&1- \lambda\\ \end{array}\right] =0\)

\(-(1 - \lambda^2 ) + 2 = 0\)

\(-1 + \lambda ^2 + 2= 0\)

\(\lambda^2 +1 =0\)

Hence, the eigenvalues of the equation are \(\mathtt{\lambda = i , -i}\)

Also, the eigenvalues can be said to be complex numbers.

Answer:

Step-by-step explanation:

Hello!

The variance and standard deviation of a distribution are measurements of dispersion. They show the degree of variation of the values of a dataset regarding the mean.

Variance:

The variance is defined as the mean of the squares of the difference between the values of the variable and the mean, symbolically:

                    V(X)= S²= E(X-X[bar])²=    \(\left \ {{n} \atop {i = 1}} \right.\)∑(\(X_i\)-X[bar])²

                                                                             n

Properties:

1. The variance is non-negative:

                                                V(X) ≥ 0

Since it is calculated as the summation of squared values it is not possible for it to be negative.

2. The variance of a constant (k) is zero:

                                                V(k)= E(k-k)²= 0

3. The variance is unaffected by changes in the parameters of position, so if for example, a constant is added to the variable X+k, since it is added to all values of the variable, the variance remains unchanged:

                                                 V(X+k)= V(X)

Same happens if a constant is subtracted from the variable:

                                                V(X-k)= V(X)

4. If you multiply the variable X by a constant k, the resulting variance will be the variance of the variable by the square of the constant:

                                                V(X*k)= k² * V(X)

5. If you add or subtract two independent variables, the resulting variance for both cases will be the summation of their variances:

                                                V(X±Y)= V(X)+V(Y)

When you add or subtract two dependent variables, the variance of the resulting variable will be the summation of both variances minus their covariance:

                                             V(X±Y)= V(X)+V(Y)-Cov(XY)

Note: covariance is the measure of joint variability of two random variables.  

Standard deviation:

The standard deviation is defined as the square root of the variance. The properties of the variance apply to it too.

This measurement is often chosen over the variance since  is easier to express the dispersion of a variable over non-square units or values.

                                                    S= √S²

I hope this helps!

Answer:

66p

Step-by-step explanation: remove the parenthesis then multiply 6 x 11p = 66p