Solve for the expression (k+m)

Detailed steps would be great, thx

Answer:

Step-by-step explanation:

Combined direction is

Combined velocity

Answer:

Step-by-step explanation:

Find the sum of the first 42 terms of the following series, to the nearest integer.

2,7,12

Solution

The sum is given by  

SUM_n=n/2*(a_1+a_n)

a_n=a_1+(n-1)d

a_1=2,   n=42,     d=5

The 42nd term is therefore given by  

a_42=2+(42-1)5=207

SUM_42=42/2*(2+207)=21*209=4389

The sum of the first 42 terms of the series, therefore, is 4389

4x (4x+3)(4x-3) is the given expression. Here we can use the formula of special products to multiply the given expression.The formula for special product is (a+b)(a-b)=a²-b² .

Consider a=4x and b=3. Substituting the values in the formula, we get

(a+b)(a-b)=a²-b² (4x+3)(4x-3) = (4x)² - (3)²  = 16x² - 9

The given expression 4x (4x+3)(4x-3) can be simplified as 4x(16x² - 9).The next step is to simplify the given expression. Multiply 4x by 16x² and 4x by -9. We get, 4x(16x²) + 4x(-9) = 64x³ - 36x.

Therefore, 4x (4x+3)(4x-3) simplified is 64x³ - 36x.The expression to be solved is (6x + 7)(x+6). Multiplying the given expression (6x + 7)(x+6), using special product method, we get

(6x + 7)(x+6)=6x(x+6) + 7(x+6)= 6x² + 36x + 7x + 42= 6x² + 43x + 42.

Therefore, (6x + 7)(x+6) = 6x² + 43x + 42.

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Answer:

x/2+4

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

First substitute x with 12 g(x)=1/2x+4

g(12) = 1/2(12) + 4

Simplify

g(12) = 10

Now solve f(10) = -5(10) + 2

-50 + 2 = -48

According to the question SELECT color FROM wax_crayons WHERE red < 110.

To write and run a query on the "wax.crayons" table to find all the crayon colors with a value for the column "red" that is less than 110, you can use the following SQL query:

```sql

SELECT color

FROM wax.crayons

WHERE red < 110;

```

- "SELECT color" specifies that we want to retrieve the "color" column from the table.

- "FROM wax_crayons" indicates that we are querying the "wax_crayons" table.

- "WHERE red < 110" sets the condition that the value of the "red" column should be less than 110 to filter the results.

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Remarks : The correct question of Technology : write and run a query on the wax.crayons table to find all the crayon colors with a value for the column red that is less than 110

Answer:

y=3/8+19/4

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

rise/run

well basically 2 eould be how much you go up or down and 3 would be is your are moving left or right and since your going up its positive 2 and your going left its positive 3

Answer:

=15

Step-by-step explanation:

=78 + 42 = 4x

=120+4x=180 subtract 120 from both side

=4x = 180 - 120

=4x = 60 divide both sides by 4

=x = 60/4

= x = 15

Answer:

(5,1)

Step-by-step explanation:

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

brainliest pls

Answer:

square root of (1-x^2) + C

Step-by-step explanation:

Use integration by parts...

Answer:

7334

Step-by-step explanation:

Answer: The answer would be $140

Step-by-step explanation:

Divide $80 / 4 which equals 20 and then multiply that times 7

The intended population in this study is all members who received physical therapy in the past 12 months. The sample is the 212 members who returned the questionnaire.

The health care provider wants information about the satisfaction of its members who received physical therapy in the past 12 months. Therefore, the intended population in this study is all members who received physical therapy in that time period. This includes both the members who returned the questionnaire and those who did not.

On the other hand, the sample refers to the group from which the health care provider actually obtains information. In this case, the sample consists of the 212 members who returned the questionnaire. These are the individuals who voluntarily participated in the survey and provided their feedback on the satisfaction with physical therapy services. The sample represents a subset of the intended population.

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Answer:

The answer is (1,-1)

Explanation:

The angles shown are same side interior angles.

For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.

28+(3x+14) = 180

28+3x+14 = 180

3x+42 = 180

3x = 180-42

3x = 138

x = 138/3

x = 46

Step-by-step explanation:

the angles are same side interior angles and because of that they are supplementary and add up to 180°

(3x + 14) + 28 = 180°

3x + 14 + 28 = 180

3x + 42=180

3x=180-42

3x= 138

divide by 3

x = 46

Answer:

18/40

Step-by-step explanation:

18/40

Apologies if this is incorrect.

The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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Answer:

His total profit is $213.00

Step-by-step explanation:

He spent $90 on tires ($45x2), $255 on rims ($85x3), and $25 on headlights ($5x5), spending a total of $370.

He sold the tires for a total of $130 ($65x2), the rims for a total of $378 ($126x3), and the headlights for a total of $75 (15x5), a total of $583.  

To find his final profit, you need to subtract what he spent from what he earned when he sold the items.  ($583-$370= $213).

Answer:

0.2

Step-by-step explanation:

First you need to do 1.6-1.2 which is 0.4 so now you know 2x=0.4 you need to divide 0.4 by 2 which is 0.2 hope this helps

Answer:

y = 2/-5x

Step-by-step explanation:

first find the slope with the equation y2 - y1/ x2 - x1 sooo

7 - 5/ 0 - 5

2/-5

y = 2/-5x + b

we're not done yet, we have to find the y-intercept

the y-intercept is when x is 0 so we make x 0

b = 2/-5(0)

b = 0

the equation is y = 2/-5x

Answer:

CD=28

FD=16

EF=22.978

EC=45.956

Step-by-step explanation:

hope it helps...

have a great day!!

The probability of selecting only red balls in a bag is 1/2, with a total of 60 balls. After picking one red ball, the remaining red balls are 29, 59, and 28. The probability of choosing another red ball is 29/59, and the probability of choosing a third red ball is 28/58. The probability of choosing two balls with replacement is 1/6. The probability of getting all four colors is 1/648, or 0.002.

6. Suppose that you draw three balls at random, one at a time, without replacement. What is the probability that you only pick red balls?The total number of balls in the bag is 10 + 10 + 10 + 30 = 60 balls. The probability of choosing a red ball is 30/60 = 1/2. After picking one red ball, the number of red balls remaining in the bag is 29, and the number of balls left in the bag is 59.

Therefore, the probability of choosing another red ball is 29/59. After choosing two red balls, the number of red balls remaining in the bag is 28, and the number of balls left in the bag is 58. Therefore, the probability of choosing a third red ball is 28/58.

Hence, the probability that you only pick red balls is:

P(only red balls) = (30/60) × (29/59) × (28/58)

= 4060/101270

≈ 0.120.7.

Suppose that you draw two balls at random, one at a time, with replacement. What is the probability that the two balls are of different colours?When you draw a ball from the bag with replacement, you have the same probability of choosing any of the balls in the bag. The total number of balls in the bag is 10 + 10 + 10 + 30 = 60 balls.

The probability of choosing a yellow ball is 10/60 = 1/6. The probability of choosing a green ball is 10/60 = 1/6. The probability of choosing a blue ball is 10/60 = 1/6. The probability of choosing a red ball is 30/60 = 1/2. When you draw the first ball, you have a probability of 1 of picking it, regardless of its color. The probability that the second ball has a different color from the first ball is:

P(different colors) = 1 - P(same color) = 1 - P(pick red twice) - P(pick yellow twice) - P(pick green twice) - P(pick blue twice) = 1 - (1/2)2 - (1/6)2 - (1/6)2 - (1/6)2

= 1 - 23/36

= 13/36

≈ 0.361.8.

Suppose that that you draw four balls at random, one at a time, with replacement.

When you draw a ball from the bag with replacement, you have the same probability of choosing any of the balls in the bag. The total number of balls in the bag is 10 + 10 + 10 + 30 = 60 balls. The probability of choosing a yellow ball is 10/60 = 1/6. The probability of choosing a green ball is 10/60 = 1/6. The probability of choosing a blue ball is 10/60 = 1/6. The probability of choosing a red ball is 30/60 = 1/2. The probability of getting all four colors is:P(get all colors) = (1/2) × (1/6) × (1/6) × (1/6) = 1/648 ≈ 0.002.

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The ordered point that is on g(x) is (-2, 25/24)

We can see that f(x) = (1/6)*(2/5)ˣ

If we apply a reflection over the y-axis, we just need to add a minus sign to the argument, so:

g(x) = f(-x)

Then:

g(x) = (1/6)*(2/5)⁻ˣ

With that, we can evaluate the function in the given pairs and see which one belongs to the function.

When x = -2, we get:

g(-2) = (1/6)*(2/5)² = 25/24

So the correct option is (-2, 25/24)

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 answer

steb by step explanation:

the inflation rate (π) is found to be 3%, the nominal interest rate (i) is calculated as 7%, and if the money growth rate is increased by 2% per year, the new nominal interest rate (i') would be 9%. These calculations provide insights into the relationships between inflation, real interest rates, and monetary policy decisions.

a. To solve for the inflation rate (π), we subtract the real interest rate (r) from the sum of the growth rates of M and Y. In this case, π = (M + Y) - r. Substituting the given values, π = 5% + 2% - 4% = 3%.

b. To solve for the nominal interest rate (i), we add the real interest rate (r) to the inflation rate (π). In this case, i = r + π. Substituting the given values, i = 4% + 3% = 7%.

c. If the Fed increases the money growth rate by 2% per year, it will affect the nominal interest rate. The new nominal interest rate (i') can be calculated using the same formula as in part b: i' = r + π'. However, since the money growth rate (M) increases by 2%, the new inflation rate (π') will be (M + Y) - r = (5% + 2% + 2%) - 4% = 5%. Therefore, the new nominal interest rate (i') would be 4% + 5% = 9%.

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Answer:

mean only

Step-by-step explanation:

the expensive house does not affect mode or median :)

Answer:

A

Step-by-step explanation:

Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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There are 28 fruits in each pile.

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receives.

Consider the Diophantine equation:

63x + 7 = 23y

63x - 23y = 7

The greatest common divisor 63 and -23 is 1.

Therefore, there exist α, β such that

-23α + 63β = 1

By applying extended Euclidean Algorithm, we have,

1 = (1 × 6) + (- 1 × 5)

1 = (1 × 17) + (3 × 6)

1 = (3 × 23) + (- 4 × 17)

1 = (- 4 × 40) + (7 × 23)

1 = (7 × 63) + (- 11 × 40)

1 = (- 11 × (- 23)) + (- 4 × 63)

1 = (- 11 × (- 23)) + (- 4 × 63)

Multiplying -7 on both sides, we get,

- 7 = (77 × (- 23)) + 28 × 63 )

Thus, we get,

x = 28

y = 77

Thus, there are 28 fruits in each pile.

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Complete question =

There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What is the number of fruits in each pile? (Hint: Consider the Diophantine equation 63x + 7 = 23y.

Answer:

(using substitution to solve the problem)

x=y-3

2x+y=12

2(y-3)+y=12

2y-6+y=12

3y=18

y=6

y=6

x=6-3

= (3, 6)

Step-by-step explanation:

using substitution, substitute the x in the second equation to y-3, to find the value of y. after that distribute the 2 into the parenthesis and collect like terms. once you simplify, you have the value of y, so substitute the value of y into the first equation to find x. once you have both values put them in the ordered pair form and you're done.

i hope this helps :)

Answer:

They are equivalent

Step-by-step explanation:

Notice that \(\frac{4}{10}=\frac{2*2}{2*5}=\frac{2}{2}*\frac{2}{5}=1*\frac{2}{5}=\frac{2}{5}\). Also, in the picture, you see that they are the exact same size.

Answer:

it is option a

Step-by-step explanation:

if you look at the squares they are the same