Graph the line with slope
3/4
passing through the point (-4,-1)
.

Answer:

  6.34°

Step-by-step explanation:

You want to know the bearing of a second plane from the first at 10 a.m. when the first leaves at 9 a.m. and flies 200 mph SW, while the second leaves at 9:30 a.m. and flies 320 mph NW.

The first plane flies for an hour at 200 mph, so is 200 miles from the airport on a bearing of 180° + 45° west of south, or 225°.

The second plane flies for half an hour at 320 mph, so is 160 miles from the airport on a bearing of 360° -45° west of north, or 315°.

The vector in the direction of the second plane from the first is found by subtracting the location of the first plane from the second:

  vector of interest = (160∠315°) -(200∠225°)

A suitable calculator can tell you the difference is ...

  vector of interest = 256∠6.34°

The second plane is on a bearing of 6.34° from the first.

__

Additional comment

You are correct that an angle of 83.66° is involved. That would be the measure of the direction vector counterclockwise from the +x axis. You want the bearing angle, measured clockwise from the +y axis (North), so the angle you're looking for is 90° -83.66° = 6.34°.

If you work enough of these problems, you will find that it doesn't matter how you measure the angles, as long as you do it consistently. The second attachment shows the arithmetic using distance∠bearing. The effect is to swap the x, and y coordinates so that they are (N, E) coordinates, rather than the usual (E, N) coordinates. This doesn't have to be confusing. A diagram usually helps.

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Answer:

5p + 75> 386

Step-by-step explanation:

principal has given $75

Total cost of trip = $386

price of a pie = $5

5p + 75 ≥ 386

Answer:

False. If the revaluation of the asset is higher than the carrying value, the following entries will be made: Debit Asset account and Credit Revaluation reserve account. The revaluation reserve account is a balance sheet account and does not affect the capital accounts of the partners directly. However, the revaluation reserve may indirectly affect the capital accounts of the partners if the revaluation reserve is distributed to the partners or used to offset losses in the future. It is worth noting that the specific accounting treatment may vary depending on the accounting standards being used by the company.

Step-by-step explanation:

The option or function that is NOT an exponential function is (4/7)ˣ.

The function (4/7)ˣ is no exponential because the base (4/7) is smaller or lesser than 1. All exponential functions must have a base that is less than -1 or greater than 1.

The other functions

1) (3/5)ˣ

2) 4ˣ

are both exponential function.

3/5ˣ is a decay function and it's base is less than 1. 4ˣ on the other hand is a growth function. Of course, it's base is greater than 1.

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Answer:

The height of the window ledge is the height of the box when t = 0. So, we need to find h(0).

```

h(0) = -16(0)^2 + 150

h(0) = 150

```

Therefore, the height of the window ledge is 150 feet.

Step-by-step explanation:

Answer:

To find the mean of the data, we add up all the heights and then divide by the number of players:

Mean = (58 + 60 + 61 + 59 + 63) / 5

Mean = 301 / 5

Mean = 60.2 inches

Therefore, the mean height of the players on the Tracy basketball team is 60.2 inches.

The answer is 60.2in.

Step-by-step explanation:

The values of the missing terms are 1) 24 and 2) 1.6.

Given are two similar figures, we need to find the value of x,

According to the definition of similar figures, the ratios of the corresponding sides are equal,

So,

1) GE / EF = RS / TR

5/6 = 20/x

5x = 120

x = 24

2) JH / LK = WX / ZY

3.84 / 2.04 = 3.2 / x

3.84x = 2.04 × 3.2

3.84x = 6.528

x = 1.7

Hence, the values of the missing terms are 1) 24 and 2) 1.6.

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To solve using the elimination method, we need to eliminate one of the variables.

Multiplying the first equation by 3, we get:

9x = 165 - 21y

Now we can write the system as:

9x = 169 - 22y

9x = 165 - 21y

Subtracting the second equation from the first, we get:

0 = 4 - y

Solving for y, we get:

y = 4

Substituting y = 4 in the first equation, we get:

3x = 55 - 7(4)

3x = 27

x = 9

Therefore, the solution to the system is (x, y) = (9, 4).

The system is consistent and independent, since it has a unique solution.

According to Karissa's method, Brand B is the winner as it is the most effective and less costly and must be promoted in commercials.

Given:-

Data collected by the official observations for each brand at 10 minute intervals.

To find which method should be applied to determine the winner? why? which brand should be declared the winner and promoted in the commercial?

In this given data and what to be obtained is described in it.

Step 2/2

Kariss's method should be applied to determine the winner.

As it fills the amount of liquid paper towel can soak, which of liquid paper can soak, which would directly relate the costs of purchasing on other.

Side Bryce's method should not be used are time is not be used are time is not as important factor as papers A, B, and C have marginal differences.

So Karissa's method would directly help us to determine the most cost-effective to efficient towel brand.

Based on the table:-

Brand A= 40 towels per minute

Brand B= 17 towels per minute

Brand C= 30 towels per minute

In this the solution is obtained by dividing the number of towels by the minute and solving the solution is obtained.

So, according to Karissa's method Brand B is the winner as it is the most effective and less costly and must be promoted in commercials.

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The journal entry for the company is Debit - Raw Materials Inventory - Standard Cost, Credit - Accounts Payable - Actual Cost.

When a company uses standard costs to record its inventory in the general ledger, the journal entry for a purchase of direct materials with a favorable price variance would be as follows

Debit - Raw Materials Inventory - Standard Cost

Credit - Accounts Payable - Actual Cost

The debit entry would record the standard cost of the direct materials purchased, and the credit entry would record the actual cost of the direct materials purchased, which is lower than the standard cost due to the favorable price variance.

It's important to note that this journal entry assumes that the company is using a perpetual inventory system, where the inventory account is updated continuously as purchases and sales occur. If the company is using a periodic inventory system, the journal entry would be different and would involve adjusting the cost of goods sold account at the end of the period.

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Answer:

x = 9

Step-by-step explanation:

We Know

A circle is 360°

An angle is 85° & one is 130°

Find x

We Take

85° + 130° + 16x + 1 = 360°

216 + 16x = 360°

16x = 144°

x = 9

Answer:

4:5 or 4/5 or .8 or 80%

Step-by-step explanation:

divide both by 3. then convert to percent or decimal

Answer:

The answer to your problem is, 3x+6y=9 then -2x-4y=4

Step-by-step explanation:

So first we are going to multiply the first equation by 2  and second equation by 3 and add it.

If there is both x and y terms gets cancelled then we can say there were no solutions at all.

Shown;

A) -2x+4y=4

-3x+6y=6

Which then becomes;

-4x + 8y = 8

-9x + 18y = 18

For, -13x + 26y = 26

B) 3x+y=12-

3x+6y=6

Which we then multiply first equation by 2 and second equation by 3

6x + 2y = 24

-9x + 18x = 18

For, -3x + 20y = 42

C)3x+6y=9

-2x-4y=4

Again multiply first equation by 2 and second equation by 3

6x + 12y = 18

-6x - 12y = 12

Which can equal to:

30

Which both x and y terms becomes 0.

Thus the anwer to your problem is, 3x+6y=9 then -2x-4y=4

Based on the standard deviation given and the sample size, the test statistic can be found to be 134.20.

The test statistic can be found by the formula:

= ((Sample size - 1) x Standard deviation of sample²) / Standard deviation of population

Solving gives:

= ((173 - 1) x 10.6²) / 12²

= 19,325.92 / 144

= 134.20

Hence, the test statistic is 134.20.

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The expression that is equivalent to this polynomial "x²+12" is option A. (x + 2√3i) (x — 2√3i)

In mathematics, a polynomial is an expression consisting of variables and coefficients that concern only the operations of addition, subtraction, multiplication, and nonnegative integer exponents.

A. (x + 2√3i) (x — 2√3i)

= (x² + 2√3i)² (i² = -1)

= (x² - 12x (— 1)

= x² + 12

B. (x + 6i) (x - 6i)

= (x² - (6i)²

= x² + 36

C. (x + 2√3)²

= x² + 4√3x + 12

D. (x + 2√3) (x - 2√3)

= x² - (2√3)²

= x² - 12

Therefore, the correct answer is as given above. Option A. (x + 2√3i) (x — 2√3i) is equivalent to the given polynomial.

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The complete question goes thus:

Which expression is equivalent to this polynomial?

x²+12

OA. (x + 2√3i) (x — 2√3i)

B. (x+6)(x-61)

Oc. (x + 2√3)2

OD. (x + 2√3) (x - 2√3)

Answer:

58.3%

Step-by-step explanation:

120-50=70 (wins)

120 is 100% wins

70. ??

We multiply 70 by 100% then divide by 120.

The division of the given algebraic expression is:  (x + 4)/2x

The division algorithm for polynomials says, if p(x) and g(x) are the two polynomials, where g(x) ≠ 0, we can write the division of polynomials as: p(x) = q(x) × g(x) + r(x).

Where:

p(x) is the dividend.

q(x) is the quotient.

We want to solve:

[(x + 4)/x²] ÷ 2/x

Thus, we can simplify to:

[(x + 4)/x²]  * x/2

= (x + 4)/2x

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Answer:

w = -4

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

Each of the six sides is 7 mm  x 7 mm  =  49 mm^2

  times six sides :  6  * 49 mm^2  = 294 mm^2

Answer:Area = Side2 = a2

Therefore, the total surface area of a cube = 6 × (area of each side)

= 6 × a2 = 6a2 Square Unit

soooooooooo

The probability that the student is a sophomore, given that they are in work, is given as follows:

P(sophomore|work) = 30%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The outcomes for this problem are given as follows:

Hence the probability is obtained as follows:

P(sophomore|work) = 3/10 = 0.3 = 30%.

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Answer:

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

To find the slope use the slope formula:

Substitute the coordinates into slope formula to get the slope:

The matching choice is B.

Answer:

2k+16

Step-by-step explanation:

Kevin: k

Ben: 8 years older than k, k+8

Hannah: 2 times Ben's age, 2(k+8)=2k+16

Answer:

DF = 15 cm

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )

[tex]\frac{DF}{9}[/tex] = [tex]\frac{25}{15}[/tex] ( cross- multiply )

15 DF = 9 × 25 = 225 ( divide both sides by 15 )

DF = 15

Answer:

12

Step-by-step explanation:

1. Use the Pythagorean theorem for triangle ABC

a squared (one side of the triangle) + b squared (another side) = c squared (hypotenuse)

so

c squared - b squared = a squared

225 - 81 = 144 ( Find the square root )

which is 12

since Triangle ABC is the same with Triangle DEF then

DF = 12

Answer:

This statement means that subgroups divide a larger group into smaller groups, and each of these smaller groups has the same number of things in it. For example, if there are 12 people in a group, and they form subgroups of 3 people each in a group, there will be 4 groups total, and each individual subgroup will have 3 people in it.

Isaiah's total earnings after picking 10 baskets of apples and peaches each is: $117

Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

We are told that Isaiah as already earned $24 picking apples and $18 picking peaches.

Amount for each basket of apple = $3 each

Amount for each basket of Peach = $4.5 each

Thus, for 10 baskets each:

Apples = 10 * 3 = $30

a = 24 + 30

a = $54

Peaches = 10 * 4.5 = $45

p = 18 + 45

p = $63

Total earnings = a + p

= $54 + $63

= $117

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Complete question is:

Isaiah picks fruit at a local orchard. He has already earned $24 picking apples and $18 picking peaches. He earns $3 for each basket of apples and $4.50 for each basket of peaches picked.

Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.

Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.

Apples: 10 x ____ = ____

24+ ___ = a

Peaches: 10 x ____ =

18+____= p

Total: a+p=$ ___

Answer:125

Step-by-step explanation:

the drawing (fountains) was 10 inches apart, but real life was 400. 400/10 = 40. this means that the real life distance is 40x the distance of the drawing.

therefore, multiply 3.125 by 40 as well. you get 125.

Answer: 125 ft

Step-by-step explanation:

Let x be the real remove between the two shows.

At that point, we are able set up the extent:

10 inches / 400 feet = 3.125 inches / x

To illuminate for x, able to cross-multiply and disentangle:

10 inches * x = 400 feet * 3.125 inches

10x = 1250

x = 125 feet

Answer:

The function f(x) = √x is the square root function.

A vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.

Option (A) is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. However, it is not a vertical translation that shifts the graph up or down.

Option (B) is a vertical translation of f(x) because it shifts the graph of f(x) down by 7 units.

Option (C) is a vertical translation of f(x) because it shifts the graph of f(x) down by 4 units.

Option (D) is a vertical translation of f(x) because it shifts the graph of f(x) up by 3 units.

Option (E) is not a vertical translation of f(x) because it involves multiplying the input of f(x) by a constant factor of 5.

Therefore, the options that are vertical translations of f(x) are (B), (C), and (D).

Step-by-step explanation: