Define the points P(1,1) and Q(3,-4). Carry out the following calculation. Find two vectors parallel to QP with length 3. The parallel vector of length 3 with the same direction is <_ , _> The parallel vector of length 3 with the opposite direction is <_ , _>

The solution to the system of equations is (8, -4)

The system of equations is given as;

y = -1/4x - 2

y = 3/8x - 7

See attachment for the graph of the equations

From the attached graph, we have the point of intersection to be

(x, y) = (8, -4)

Hence, the solution to the system of equations is (8, -4)

Read more about system of equations at:

https://brainly.com/question/14323743

#SPJ1

Check the picture below.

\(\cfrac{\sin(15^o)}{9}=\cfrac{\sin(B)}{12}\implies \cfrac{12\sin(15^o)}{9}=\sin(B)\implies \sin^{-1}\left( \cfrac{12\sin(15^o)}{9} \right)=B \\\\\\ 20.19^o\approx B\hspace{12em}\stackrel{180-20.19-15}{C\approx 144.81^o} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin(15^o)}{9}=\cfrac{\sin(144.81^o)}{c}\implies c=\cfrac{9\sin(144.81^o)}{\sin(15^o)}\implies \boxed{c\approx 20.0}\)

Answer:

hope you like my answer is 75a²xy⁴

Answer:

See below.

Step-by-step explanation:

5x^2 y a y

3a y x^2

Can be written as:

5x^2 y^2 a + 3a y x^2

Add like terms:

5ax^2y^2 + 3ax^2y

The sum is 5ax^2y^2 + 3ax^2y

The sum has more than one term, so the sum is not a monomial.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

We have the following details

mean = 554

n = 60

bar x = 567

alpha = 0.01

A. h0. u = 554

H1. u > 554

B. Given that the standard deviation is known what we have to make use of is the independent z test

test statistics calculation

567-554/(39/√60)

= 2.582

d. at alpha = 0.01 and test statistics = 2.582, the value of the p value = 0.0049

0.0049  < 0.01. So we have to reject the null hypothesis.

e. Yes We have to accept that  we support the preparation course's claim that the population mean SAT score of its graduates is greater than 554

Read more on statistics here:

https://brainly.com/question/19243813

#SPJ1

Answer:

sin Z = 9 / 15

cos Z = 12 / 15

tan Z = 9 / 12

Step-by-step explanation:

opposite of Z = 9

adjacent of Z = 12

hypotenuse = 15

sin = opp / hyp

so sin Z = 9 / 15

cos = adj / hyp

so cos Z = 12 / 15

tan = opp / adj

so tan Z = 9/12

Answer:

-232

Step-by-step explanation:

the salt flats have an elevation of 50 feet greater than -282, so add 50 to -282 and you get -232

The probability that all four cards drawn from a deck are black cards is 1/4165.

There are 26 black cards and 52 cards in a standard deck of cards. Therefore, the probability of drawing a black card from a standard deck of cards is 26/52 or 1/2. In the first draw, there are 26 black cards out of 52 cards, so the probability of drawing a black card is 26/52.

In the second draw, there are 25 black cards left out of 51 cards, so the probability of drawing a black card is 25/51. In the third draw, there are 24 black cards left out of 50 cards, so the probability of drawing a black card is 24/50. In the fourth draw, there are 23 black cards left out of 49 cards, so the probability of drawing a black card is 23/49.

Using the multiplication principle of probability, the probability that all four cards drawn from a deck are black cards is 26/52 × 25/51 × 24/50 × 23/49 = 1/4165.

To know more about probability refer here:

https://brainly.com/question/30034780#

#SPJ11

the height of the tower gives a ratio of 159/155. Taking the inverse tangent of this ratio gives the angle of elevation of the sun, 56.7°.

Let x represent the sun's elevation angle.Then, tan(x) = 159/155.

x = tan-1(159/155) = 56.7°

The angle of elevation of the sun can be calculated using the tangent ratio. The tangent ratio states that the opposite side divided by the adjacent side of a triangle is equal to the tangent of the angle. In this case, the opposite side of the triangle is the length of the shadow, 159 feet, and the adjacent side is the height of the tower, 155 feet. Dividing the length of the shadow by the height of the tower gives a ratio of 159/155. Taking the inverse tangent of this ratio gives the angle of elevation of the sun, 56.7°.

Learn more about angle here

https://brainly.com/question/28451077

#SPJ4

Answer:

Total weight = 1,500 tons

Step-by-step explanation:

Given:

l = 5 ft

b = 5 ft

h = 6 ft

One cubic foot weighed = 0.1 tons

Find:

Total weight

Computation:

Volume = lbh

Volume = (5)(5)(6)

Volume = 150 ft³

Total weight = Volume / 0.1

Total weight = 150 / 0.1

Total weight = 1,500 tons

Answer:

24

Step-by-step explanation:

369121518212427303336

The cardinality of the set A is 4

From the question, we have the following parameters that can be used in our computation:

A = {2, 4, 6, 8}

In the above, we can see that

There are 4 elements in the set

By the definition of cardinality, we have the cardinality of set A to be 4

Hence, the cardinality of set A is 4

Read more about set at

https://brainly.com/question/13458417

#SPJ4

Question

The cardinality of a finite set is the number of elements in the set. What is the cardinality of set A

A = {2, 4, 6, 8}

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

To know more about Number visit:

brainly.com/question/3589540

#SPJ11

Answer: C. Even with a higher income, Aiyana would not save.

Step-by-step explanation: When Aiyana increases her expenses for rent, car, and non-essentials, it means that she is allocating more of her income towards these categories.  As a result, her disposable income, or the amount of money left after paying for necessary expenses, would decrease.

If Aiyana's income remains the same and she increases her expenses, it would lead to a situation where her expenses exceed her income.  This would make it difficult for her to save money since she would be spending more than what she earns.

Answer:

\( - 4x + 9 = 21 \\ - 4x = 21 - 9 \\ = 12 \\ x = \frac{12}{ - 4} \\ x = - 3\)

Answer:

16

Step-by-step explanation:

The square numbers closest to 15 are 9 and 16

However, 9 is 6 units distant while 16 is only 1 unit

The nearest square number to 15 is 16

The correct formulas that represent covalent molecules are N2O and S8.

LiF (lithium fluoride) is an ionic compound, not a covalent molecule, because it consists of a metal (Li) and a non-metal (F) bonded together through an ionic bond.

N2O (dinitrogen monoxide) is a covalent molecule. It consists of two nitrogen atoms (N) bonded to one oxygen atom (O) through covalent bonds.

S8 (sulfur octafluoride) is also a covalent molecule. It consists of eight sulfur atoms (S) bonded together through covalent bonds.

CaS (calcium sulfide) is an ionic compound, not a covalent molecule, because it consists of a metal (Ca) and a non-metal (S) bonded together through an ionic bond.

In summary, N2O and S8 represent covalent molecules, while LiF and CaS represent ionic compounds.

For more questions like Compound click the link below:

https://brainly.com/question/14117795

#SPJ11

The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.

The correct option is A: (-2, 2).

To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.

Let's test each ordered pair:

A: (-2, 2)

For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)

For y > x: 2 > -2 → 2 > -2 (True)

B: (1, 1)

For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)

For y > x: 1 > 1 → 1 > 1 (False)

C: (0, 0)

For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)

For y > x: 0 > 0 → 0 > 0 (False)

D: (-1, -1)

For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)

For y > x: -1 > -1 → -1 > -1 (False)

From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).

To learn more about inequality;

brainly.com/question/28823603

#SPJ12

The complete question:

Which ordered pairs make both inequalities y < -x + 1 and y > x true?

A: (2, 2)

B: (1, 1)

C: (0,0)

D: (-1, -1)

Triangles are said to be congruent if two of their sides and the included angle are the same as their corresponding sides and angles of another triangle.

When determining if a set of triangles is congruent, the Side-Angle-Side rule is utilized. According to the SAS rule, triangles are congruent if their two sides and included angles are the same as those of another triangle.

If two sides and an included angle of one triangle are equal to the sides and an included angle of the second triangle .

Then two triangles are said to be congruent according to the SAS. According to SAS theorem of congruence, two triangles are congruent if the corresponding two sides and their included angles in one triangle .

To know more about SAS visit :-

https://brainly.com/question/28035848

#SPJ4

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Learn more about divergence of the vector this link:

https://brainly.com/question/30907324

#SPJ11

Answer:

\(49\)

Step-by-step explanation:

\(\frac{US}{UD}=\frac{UT}{UC} \implies US=\frac{(56)(14)}{16}=49\)

Answer:

I would say likely.

Step-by-step explanation:

I hope this helps.

Answer:

Step-by-step explanation:

p, c, a are the ounces of peanuts, cashews, and almonds, respectively.

“There are three times as many ounces of peanuts as of cashews.”

p = 3c

“There are five more ounces of almonds than cashews.”

a = c+5

“The total weight is 20 ounces”

p + c + a = 20

Substitution

(3c) + c + (c+5) = 20

c = 3

p = 3c = 9

Nine ounces of peanuts.

Answer:

4/6 or in simplest form 2/3.

Step-by-step explanation:

2-(-2)/4-(-2)= 4/6

Answer:

sushi* and there is no picture.

Step-by-step explanation:

Answer:

13.91

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached.

From the diagram the length of the vector along x component is given as:

Vx = Vcos(theta)

theta is the angle between the vector and the x axis

V is the length of the vector

Given

theta = 22°

V = 15

Substitute the given values into the formula above

Vx = 15cos22°

Vx = 15×0.9272

Vx = 13.91

Hence the length of the x-component of the vector is approximately 13.91

Answer:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.

here I am! dunno if this is the question you meant but you haven't gotten an answer here yet.

Answer:

B) Exactly one solution. (-3.5)

Step-by-step explanation:

5x + 8 - 7x = -4x + 1

combine like terms

5x - 7x + 8 = -4x + 1

-2x + 8 = -4x + 1

add 4x to both sides

-2x + 4x + 8 = -4x + 1 + 4x

2x + 8 = 1

subtract 8 from both sides

2x + 8 - 8 = 1 - 8

2x = -7

divide both sides by 2.

x = -3.5

3.5, clearly, is only one number.

Answer:

A. 2x(x+3)

B. 2y(y-4)

C. 5p(p+2)

D. 7c(c-3)

E. 3x(2x+3)

I hope this helps

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