V(x, y, z) = 5x2 − 3xy + xyz (a) Find the rate of change of the potential at P(6, 6, 5) in the direction of the vector v = i + j − k.

The solution is:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Here,

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

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complete question:

You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.

How much do you need to pay for each year of attending?

If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?

Answer:

Step-by-step explanation:

Answer:

x or slope: 3

y-intercept: 7

x      y

0     7

1      10

Explanation:

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

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Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

35% of 120 is :

120 x 0.35 = 42 $ profit

selling cost 120+42=162$

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The correct answer is B. The mean would decrease in value to about 17.1 inches.

Step-by-step explanation:

To find out how adding a new plant with a height of 13 inches would impact the mean height of the 15 plants, we can follow these steps:

To find out how adding a new plant with a height of 13 inches would impact the mean height of the 15 plants, we can follow these steps:Find the current mean height of the 14 plants:

mean = (12 + 14 + 15 + 15 + 16 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25) / 14

= 221 / 14

≈ 15.8 inches

Add the new plant with a height of 13 inches to the list.

Add the new plant with a height of 13 inches to the list.Recalculate the mean height of the 15 plants:

mean = (12 + 13 + 14 + 15 + 15 + 16 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25) / 15

= 236 / 15

≈ 15.7 inches

The mean height of the 15 plants after adding the new plant would be approximately 15.7 inches. This means that the mean would decrease in value from about 15.8 inches to about 15.7 inches. Therefore, the correct answer is B. The mean would decrease in value to about 17.1 inches.

Answer:

25.6-14.07= 11.53

Step-by-step explanation:

Answer:

11.53

Step-by-step explanation:

25.6-14.07=11.53

Answer:

The answer is: 13/24

Step-by-step explanation:

Find the LCM of 6 and 8

1/6=4/24

3/8= 9/24

4/24+9/24= 13/24

Answer: B

Step-by-step explanation:

The amount of weight barbell acting on a weight lifter os 80 N.

Step-by-step explanation:

(5,4) is the coordinate of the point j after rotation

Answer:

y-intercept is (0,8)

c. x-intercept is (-8, 0)

Step-by-step explanation:

y=x+8

x=0

y+0=8

y=8

y=0

y=x+8

0=x+8

x=-8

Answer:

54.2 cakes

Step-by-step explanation:

divide 380 by 7 and you'll get 54.2 as your answer

Answer:

angle wyx that is angle y is largest as it's the opposite angle to the largest side of a triangle

You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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Answer:

∠A= ∠E, ∠H = ∠D

and the last one

Step-by-step explanation:

opposite angles are equal, alternative interior angle are equal.

Answer:

∠A = ∠E and ∠H = ∠D.

∠E = ∠H and ∠F = ∠G

Step-by-step explanation:

Angles A and E are one set of corresponding angles and angles H and D are another set.  Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.

Angles E and H are one set of vertical angles and angles F and G are another set.  Vertical angles are also always congruent to each other and thus equal.  Therefore ∠E = ∠H and ∠F = ∠G

Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

The number of ways the 6 books can be arranged on the 4 shelves by Amanda is 360 ways

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

Total number of books, n = 6

Total number of shelves, r = 4

The number of ways the books could be arranged on the shelves is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 6 and r = 4

Substitute the known values in the above equation, so, we have the following representation

Total = ⁶P₄

Apply the permutation formula

ⁿPᵣ = n!/(n - r)!

So, we have the following representation

Total = 6!/2!

Evaluate the quotient

Total = 360

Hence, the number of ways is 360

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Answer:

Geoff worked 25 hours in his first week

Step-by-step explanation:

You would subtract $200 from $637.50 which makes it $437.50. Then you would divide $437.50 by $17.50 which is 25, This means that Geoff worked 25 hours in his first week.

Answer:

1360

Step-by-step explanation:

Answer:

http://wv.portal.airast.org/training-tests.stml

Step-by-step explanation:

copy this link into your url search that should help.

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer: y ≤ 7

Step-by-step explanation:

brainlest  

Answer:

The prove of the given identity is shown below:

Step-by-step explanation:

It seems that the question involves the proving of a trigonometric identity.

Therefore, we are going to work independently on each side of the equal sign.

We start by considering \(cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})\) since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: \(cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})\)

and now we use the Pythagorean identity to replace the cosine square expression:

\(cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})\)

in the difference of square trig functions we had arrived to:

\(cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})\)

We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.

The inequality to solve is:

We can take the numbers to one side and variables to one and solve for x. Shown below:

This is the solution

Note: the open circle in '6' means the number six isn't included.

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval