Calculate the directional derivative of g(x, y, z) = z2 - xy + 2y in the direction v = (1, -5, 3) at the point P = (2,1, -7). Remember to use a unit vector in directional derivative computation (Use symbolic notation and fractions where needed.)

Answer:

I’m pretty sure the answer would be 64%

Answer:

70%

Step-by-step explanation:

Find a number you can multiply 40 by, and find a number you can multiply 100 by to equal the same number.

Answer:

Step 3 is right answer.

Step-by-step explanation:

He is substituting the values wrong. His 2nd step is right but as he moved to the 3rd step he put measure of angle n instead if measure if angle o

So Step 3 is right answer.

The estimated 98% confidence interval for the average sales of 26 pharmaceutical stores is approximately (L. 20859.733, L. 23140.267) per day.

To calculate the confidence interval for the average sales of 26 pharmaceutical stores with a 98% confidence level, we can use the formula:

Confidence Interval = Average Sales ± (Critical Value * Standard Error)

First, let's calculate the standard error, which represents the standard deviation of the sample mean:

Standard Error = Standard Deviation / √(Sample Size)

              = 2500 / √26

              ≈ 489.9

Next, we need to determine the critical value associated with a 98% confidence level. For a two-tailed test, where we want to capture 98% of the data, the remaining 2% is split into two tails, each with an area of 1% (0.01). Since the data follows a normal distribution, we can use a Z-table or statistical software to find the critical value. For a 98% confidence level, the critical value is approximately 2.33.

Now, we can calculate the confidence interval:

Confidence Interval = 22000 ± (2.33 * 489.9)

                  = 22000 ± 1140.267

Therefore, the estimated 98% confidence interval for the average sales of 26 pharmaceutical stores is approximately (L. 20859.733, L. 23140.267) per day.

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Answer:

x = 4/3 is your answer

Step-by-step explanation:

Hope this helps!!

Answer:

I use desmos; what do you need help with?

Answer:zegari6636 is king of brainlist

Step-by-step explanation:

My algebra teacher use Desmos and also thanks for the points have a good day do you need help

Answer:

Length=9.6

Width=5.1

Step-by-step explanation:

Step one:

given data

for the large chocolate

Area=48.96ft^2

let the width be x

w=xft

let the length be l

l=(2x-0.6)

Step two:

we know that area A=length * width

48.96=(2x-0.6)*x

48.96=2x^2-0.6x

2x^2-0.6x-48.96=0

divide through by 2 we have

x^2-0.3x-24.48=0

solving the quadratic equation, the roots are

x=5.1

x=-4.8-----not correct cannot be -ve

so x=5.1

the width is 5.1

the length = 2(5.1)-0.6

l=10.2-0.6

l=9.6

check Area= 9.6*5.1= 48.96

The length and the width of the bar are 6.7ft and 7.3ft respectively

The formula for calculating the volume of the chocolate bar is expressed as:

Given the following parameters

If the length is 0.6 foot shorter than twice its width, hence;

l = w - 0.6

The expression becomes;

\(48.96 = w(w-0.6)\\48.96 = w^2 - 0.6w\\w^2 - 0.6w - 48.96 - 0\)

On factorizing the result, w = 7.3ft

Recall that l = w - 0.6

l = 7.3 - 0.6

l = 6.7ft

Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.

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The slope of all the given options  are equal and it is equal to slope of given equation .

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. We shall comprehend the slope-finding method and its applications in this essay.

Given

Equation of a given line is x+2 y=6

Lets find out slope m by writing the equation in \($y= \mathbf{m}+\mathbf{b}$\) form

\($$\begin{aligned}& x+2 y=6 \\& 2 y=-x+6 \\& y=\frac{-1}{2} x+6\end{aligned}$$\)

The slope of the line is \($\frac{-1}{2}$\)

Now we find slope of each option using formula \($m=\frac{y_2-y_1}{x_2-x_1}$\)

Lets pick two points from the graph to find out slope

Pick (0,3) and (6,0)

\($$\begin{aligned}& m=\frac{y_2-y_1}{x_2-x_1} \\& m=\frac{0-3}{6-0}=\frac{-1}{2}\end{aligned}$$\)

Now pick two points from option \($\mathbf{B}$\) to find slope

(-10,-3) and (0,-8)

\(m=\frac{-8+3}{0+10}=\frac{-1}{2}$$\)

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Answer:

$1856.47

Step-by-step explanation:

500 x 1.3^5=1856.465

The perimeter of television is = 100 inches

The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.

let the length be 16x and width be 9x

area given = 576 sq. inches

16x * 9 x = 576

144 \(x^{2}\) = 576

x = 24/12

x = 2

length = 32

width = 18

perimeter = (32 + 18)*2  =100 inches

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Answer:

D

Step-by-step explanation:

40 + 20 = 60 lol

The information which the line of best fit predict about the increase in the minimum wage over the 70 year period is that: C) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, an equation which represents the line of best fit include the following:

y = 0.096x - 0.488.

In this context, we can logically deduce that the initial minimum wage is  $0.488 and the average increase in minimum wage is equal to 0.096 dollars each year between 1940 and 2010.

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The missing coordinate is equal to 15.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

5/4 = (5 + 5)/(r - 7)

5/4 = 10/(r - 7)

5(r - 7) = 40

5r - 35 = 40

5r = 75

r = 75/5

r = 15.

Based on the information provided, the slope is the change in y-axis with respect to the x-axis and it is equal to 5/4.

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Complete Question:

The points (7,-5) and (r,5) lie on a line with slope 5/4. Find the missing coordinate

Answer:

2 meters

Step-by-step explanation:

I really don't know if this is right. It is just a guess:

8-6=2 so the windowsill is 2 meters off the ground because if the ladder is leaning 6 meters out, you have to take 6 meters away from 8, which leaves you with 2 meters.

The value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

By right-angled triangle, we can find the trigonometric function from the sides of the triangle.

sin x = perpendicular/ hypotenuse

cos x = base/ hypotenuse

sec x = hypotenuse /base

From a triangle ABC of base 4, perpendicular 3, and hypotenuse 5, we get

sin a = perpendicular/ hypotenuse

        = 3/5

cos a = base/ hypotenuse

         = 4/5

sec a = hypotenuse /base

        = 5/4

Hence, the value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

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Answer:

12.35 should be the 10th term sorry if im wrong tho

Step-by-step explanation:

Answer:

59

29.33

Step-by-step explanation:

Recall SOH CAH TOA

SOH= Sinα=opposite/hypotonouse

CAH= cosα=adjacent/hypotonouse

TOA= tanα=opposite/adjacent

To find angle C we'll use TOA

which means we take the lenght opposite to d and adjacent to d

which means we have

tand=10/6

d=tan⁻1(10/6)

d=59

to find length z let's use SOH CAH TOA again (for the practice)

This time let's use angle z and SOH

which means we have

sin(64.5)=z/32.5

Solve for z

32.5sin(64.5)=z

z=29.33

*note*  if you use a²+b² for number two you get a sligthly different answer. This is because when they rounded when they wrote 64.5**

Answer:

y = 2x + 10

Step-by-step explanation:

Equation of the line is;

y = −(x/2) + (4/5)

Slope here is m = -½ following the equation y = mx + c

Now, for a line perpendicular to it, the slope will now be; m = -1/(-½) = 2

To pass through the point ( − 2, 6 ), let's find C and it will be;

6 = 2(-2) + c

6 = -4 + c

c = 6 + 4

c = 10

Thus equation is;

y = 2x + 10

Volume of a sphere:

V = (4/3)πr³

Circumference of a sphere:

C = 2πr

Surface area of a sphere:

A = 4πr²

above are important sphere related equations

so to find the surface area plug in values for equation

A= 4πr²

= 4 × 3.14 × 5.4 ×5.4

= 366.25 mm²

The display to represent the data of the number of employees based on job classification is A. Bar chart; because job classification is categorical.

Categorical data refers to the data types that can be grouped instead of calculated numerically.

Some examples of categorical data include sex, age group, educational level, job classification, and racial categories.

Bar charts and histograms are handy for representing categorical data because they use rectangular bars with heights or lengths to represent proportional values.

Thus, the correct display for the categorical data of job classification is Option A.

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Answer:

A

Step-by-step explanation:

Bar Chart

Answer:

The interest will rack up to $7,200

The total will be $15,200

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

Jenna borrows $8,000 for college at a simple interest rate of 6%

she has 15 years to pay back the loan and interest

the interest can be calculated as follows

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays can be calculated as follows

= $7200 +$8000

= $15,200

Hence the interest she pays is $7200 and the total amount is $15,200

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Answer:

16.66

Step-by-step explanation:

88 Text divided with the amount of dollars needed is 5.28$

its 16.66

Answer:

#64 = 18

#65 = 30

Step-by-step explanation:

Remember, the sum of all the angles in a triangle is equal to 180 degrees...

#64

123+ 39 = 162

180-162 = 18

#65

75 + 75 = 150

180-150 = 30

Answer:

18 and 30 degrees

Step-by-step explanation:

< a + <b + <c = 180 degrees

< b = 180 - (123+39) = 18 degrees

<b = 180 - 2(75) = 30 degrees

Answer:

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

The total perimeter will be 4x^+17 and length be 22.76 cm

As per the data given in the questions,

We have, the shape of the sandwich be rectangular.

We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),

where, l = length of the rectangle

and, b = breadth of the rectangle

The expression for the perimeter of the sandwich would be:

2 (2x^2 + 9) + 2 (2x^2 + 8)

= 4x^2 + 26

Now for finding the length of the crust,

we will put the value of x=1.2,

So, the value of the approximate length of the crust would be:

=4x^2 + 26

= 4 * 1.2^2 + 26

= 22.76 centimetres.

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Answer:

126+20+8h=250

Step-by-step explanation:

Answer:

{-1, 0, 1, 3}

Step-by-step explanation:

A relation is a set of ordered pairs of numbers. The domain of a relation is the set of all the first elements (or x-values) in the ordered pairs. In this case, the relation is (-1,5) , (0,4), ( 1,2) , (3,-2), so the domain is the set of all the x-values in these ordered pairs, which is the set {-1, 0, 1, 3}. Therefore, the domain of the relation is {-1, 0, 1, 3}.

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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