Find the rectangular components of a vector with a magnitude of 30, acting at a point making a 60° with x-axis to the nearest integer.​

Answer:

y=3x

Step-by-step explanation:

-2*3=-6

-1*3=-3

0*3=0

1*3=3

2*3=6

3*3=9

Answer:

3

Step-by-step explanation:

You can notice that each time, x is multiplied by 3 to give y.

Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

The correct diagnosis code to report a tibial closed fracture, a proximal end, of the left leg, the initial encounter is A.S82.191A.

Explanation:

Diagnosis codes are used to accurately report a patient's condition or injury. The code S82.191A specifically refers to a closed fracture of the proximal end of the tibia on the left leg, with this being the initial encounter for treatment.

The other options, S82.191B, S82.102A, and S82.102B do not accurately describe the condition or injury in question. S82.191B refers to a subsequent encounter for the same injury, while S82.102A and S82.102B refer to a closed fracture of the right leg's upper end of the tibia.

Therefore, the correct answer is A.S82.191A.

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The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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The slope of the line that is parallel to the line that contains side WV is 1.

What about slope of line?

The slope of a line is a measure of its steepness or inclination, defined as the ratio of the change in the vertical direction (y-axis) to the change in the horizontal direction (x-axis) between any two points on the line.

In other words, the slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is commonly denoted by the letter "m" and is calculated as:

m = (y₂ - y₁) / (x₂ - x₁) where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope can be positive, negative, zero, or undefined. A positive slope indicates that the line rises as we move from left to right, while a negative slope indicates that the line falls as we move from left to right. A slope of zero indicates that the line is horizontal, and an undefined slope indicates that the line is vertical.

According to the given information:

W(a+3, b-3) and V(a+5, b-1)

So, the slope WV,

\(\frac{b-3-(b-1)}{a+3 - (a+5)} \\\\\frac{-2}{-2} = 1\)

So, the slope of the given condition is 1.

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Answer:

2\3 + 42=42 2/3 or 128/3=42.66

5\12 + 26=26 5/12 or 317/12=26.41

Answer:

2\3 x 42=28

5\12 x 26= 10 5/6

Step-by-step explanation:

Hope this helped.

Answer:

be they just do hahahaha

Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Answer:

(0,-2)

Step-by-step explanation:

Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

An 86% confidence interval for the difference in age to leave mother is -3.10091

What is confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, Gorilla Baby sample

x means x bar here so, \(x_{1}\) = 3.21

\(s_{1}\) = 0.81

\(n_{1}\) = 64

Human Baby sample

x means x bar here so, \(x_{2}\) = 19.1

\(s_{2}\) = 2.16

\(n_{2}\) = 200

Confidence interval needs t score

t score = 1.18

86% confidence interval = \(x_{1}\) - \(x_{2}\) ± tc \(\sqrt{s^{2} {1} / n_{2} + s^{2} {2} / n_{2}\)

= 3.21 - 19.1 ± 1.18 √0.81²/64 +2.16²/200

= 3.21 - 19.1 ± 1.18 √0.033

= -3.10091

An 86% confidence interval for the difference in age to leave mother is -3.10091

The detail question is here,

A study based on the Association primate Ebmarah looked at the average age a baby gorilla leaves it’s mother versus the average age the human baby leaves it’s mother . Naturally they are different , so we don’t want a hypothesis test. Instead, find an  86% confidence interval  for the difference in age to leave mother.

Gorilla:

Sampled 64 babies

Stayed with mother on average 3.21 years

Standard deviation:  0.81

Human:

Sampled  200 babies

Stayed with mother on average 19.1 years

Standard deviation:  2.16

Matched  pairs  standard deviation :0.23

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To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Answer:

1. adjacent

2. vertical

3. adjacent

Step-by-step explanation:

adjacent angles: angles next to each other with one common side

vertical angles: 2 non-adjacent angles formed by the intersection of 2 lines

complementary angles: two angles whose measures add to 90 deg

supplementary angles: two angles whose measures add to 180 deg

linear pair: 2 adjacent angles whose non-common side lie on a single line

Part 1

1  Adjacent

2. Vertical

3. Adjacent

4. Linear pair

5. Adjacent

6.  Linear pair

7. Vertical

8. Complementary angles

9.Supplementary angles

Part 2

10. <BGC and <CGD

11. <AGD and <CGF

12. <BGC and <CGD

13. <AGF and <AGD

14. <AGB and <BGC

15. <FGC

This term refers to angles sitting side by side, like next to each other.

This term refers to angles sitting in the face of the each other or opposite to each other.

This term refers to angles that sum up to 90 degrees.

This term refers to angles that sum up to 180 degrees. When the angles are formed by a single point of intersection in a straight line it is called Linear pair.

This term refers to a form of supplementary angles where the angles are formed from a single point of intersection. The angles formed in linear pair are adjacent to each other

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Answer:

1586.91 m³

Step-by-step explanation:

From the diagram attached,

Applying,

A = πrl.................. Equation 1

Where A = surface area of the cone, l = slight heigth of the cone, π = pie.

make l the subject of the equation,

l = A/πr.............. Equation 2

From the question,

Given: A = 628.32 m², π = 3.14, r = 8 m

Substitite these values into equation 2

l = 628.32/(3.14×8)

l = 25 m

But,

l² = h²+r².................... Equation 3

Where h = height of the cone.

h = √(l²-r²)

h = √(25²-8²)

h = √(625-64)

h = √(561)

h = 23.69 m

Also Applying,

V = 1/3πr²h

Where V = volume of the cone.

Therefore,

V = (3.14×8²×23.69)/3

V = 1586.91 m³

Answer:

1,1716 + 143(12)

Step-by-step explanation:

i believe that is correct hope I helped you!

Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

Answer:

0.72 meters

Step-by-step explanation:

by dividing 6.48 by 9, we get 0.72 meters

Answer:

here

Step-by-step explanation:

Step-by-step explanation:

12x - 6 is your answer in simplified form

Substituting the radius of the sphere into the formula of the volume and also into the formula of the surface area we get:

Answer: El costo por sándwich de pavo para la entrega es de $2.38 para la primera oficina y $1.03 para la segunda oficina

Step-by-step explanation: Para calcular el costo por sándwich de pavo para la entrega, primero encontramos el costo total de los sándwiches de pavo para cada oficina:

Oficina 1: $33 por 4 sándwiches = $8.25 por sándwich

Oficina 2: $61 por 8 sándwiches = $7.63 por sándwich

Luego, sumamos el costo de la entrega a cada total y dividimos por el número de sándwiches para encontrar el costo por sándwich:

Oficina 1: ($33 + $5) ÷ 4 = $9.50 ÷ 4 = $2.38 por sándwich

Oficina 2: ($61 + $5) ÷ 8 = $66 ÷ 8 = $8.25 ÷ 8 = $1.03 por sándwich

Por lo tanto, cada sándwich de pavo en la oficina 1 cuesta $2.38 más el costo de la entrega y cada sándwich de pavo en la oficina 2 cuesta $1.03 más el costo de la entrega.

¡Espero que esto ayude y que tengas un gran día!

Note that \(\displaystyle \Big (\frac{9}{4} \Big )^{1/2}\) is the same as \(\sqrt{\frac{9}{4}}=\frac{\sqrt{9}}{\sqrt{4}}=\frac{3}{2}\).

Hope this helps.

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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The statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.

Given, two functions  y = -2f(x) = 1/x

To determine whether the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true or false, we need to find the value of Y for both functions when x = -2.

Substituting x = -2 in the functions we get:I would ask y = -2(-2) = 4f(-2) = 1/(-2) = -1/2Therefore, the Y value of the function I would ask is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2. Hence, the given statement is true.

Therefore, the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.

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8k - 6 = 10k + 6

K= -6

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*k-6-(10*k+6)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  -2k - 12  =   -2 • (k + 6)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    k+6 = 0

Subtract  6  from both sides of the equation :

   Which gives k = -6

Answer: K = -6

Step-by-step explanation:

When you add or subtract on one side, you have to do the same to the other side. You also have to get all the numbers with vairables on one side, and the ones without on the other side.

When you have a positive number, if you want to bring it to the other side, you have to subtract it. For example, if you want to bring 8k from the left side onto the right side, you have to subtract 8k from a number on the right side.

For this equation, lets bring all the numbers with vairables onto one side, and the ones without vairables on the other side. The ones with vairables will be on the left, and the numbers without will be on the right.

To bring 10k from the right side to the left, we have to subtract 10k from 8k. 8k - 10k = -2k.

Now we have to bring the -6 from the left side onto the right side. Since -6 is a negative number, we have to make it into a positive number to swap it to the other side. So it because 6. We add 6 to -6, and 6 to 6. The leaves the left side to be -2k, and the right side to be 12.

Now we have to divide. 12 ÷ -2 = -6. Therefore, k = -6. I hope this helps, and good luck on whatever you're doing :D

Answer:

x=21 y=17

Step-by-step explanation:

to find the opposite angle of (8y+2) you have to calculate 180-42

we know that in a parallelogram the opposite angles are equal

8y+2=138

8y=136

y=17

in a parallelogram the sum of the angles is 36

2(8y+2)+2*2x=360

2(8*17+2)+4x=360

2(136+2)+4x=360

272+4+4x=360

276+4x=360

4x=84

x=21