Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line.
point: (7, 5, 5)
perpendicular to: (x-1)/10 = y+5 = (z+7)/-7

Answer:

ab - 2ac + cb

Step-by-step explanation:

This expression cant be simplified

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

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

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

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

k = A'B'/AB

Hence, the proportion is A'B'/AB

Read more about similar shapes at

https://brainly.com/question/14285697

#SPJ1

1. The number of machines restocked on Thursday is 60.

2. 168 machines were restocked on Saturday.

Let's call the number of machines restocked on Thursday "x".

According to the problem, the number of machines restocked on Saturday is 12 less than 3 times the number restocked on Thursday, which can be written as:

Saturday machines = 3x - 12

The total number of machines restocked over both days is given as 228, so we can set up an equation:

x + (3x - 12) = 228

Simplifying this equation, we get:

4x - 12 = 228

Adding 12 to both sides, we get:

4x = 240

Dividing both sides by 4, we get:

x = 60

So the number of machines restocked on Thursday is 60.

To find the number restocked on Saturday, we can plug this value back into the equation we came up with earlier:

Saturday machines = 3x - 12

Saturday machines = 3(60) - 12

Saturday machines = 168

Therefore, 168 machines were restocked on Saturday.

Learn more about :

Simplification : brainly.com/question/12868965

#SPJ11

Solving a simple linear equation we can see that the value of b is 7.

Here we have the point (5, b - 7) and we want to find the value of b such that the point lies on the x-axis.

Remember that a point lies on the x-axis only if the y-value is zero, so we need to solve the linear equation:

b - 7 = 0

Adding 7 in both sides we get:

b - 7+ 7 = 0 + 7

b = 7

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The thing to tell Irene to convince her that these cards don’t match is that the addition of the variables will not give 4x + 2.

An expression can be used to illustrate the relationship between the variables that are given in the data.

The addition of the variables will be illustrated thus:

x + 2 + x + 2 + x + 2 + x + 2 = 28

4x + 8 = 28

In the question, it was written as 4x + 2 = 28. This shows that it won't match.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The hotel should increase the daily room rate by $250 to maximize the daily profit. The optimal room rate would be $90 + $250 = $340 per day.

Let's denote ,

the daily room rate as R (in dollars)

the number of vacant rooms as V.

Since each increase of x dollars in the room rate leads to x vacant rooms, we can express the number of occupied rooms as 250 - x.

The revenue generated from occupied rooms can be calculated as (250 - x) * R, as the number of occupied rooms decreases with an increase in the room rate.

The total cost to service and maintain each occupied room is $30 per day, resulting in a cost of 30 * (250 - x) for the occupied rooms.

The hotel's daily profit is given by the difference between revenue and cost, so we have:

Profit = Revenue - Cost

Profit = (250 - x) * R - 30 * (250 - x)

To maximize profit, we need to find the value of R that maximizes the profit function. We can do this by differentiating the profit function with respect to R and setting it to zero:

d(Profit)/dR = (250 - x) - 30(250 - x) = 0

Simplifying the equation, we get:

250 - x - 7500 + 30x = 0

-29x - 7250 = 0

29x = -7250

x = -250

Since we are looking for a positive value of x, we can disregard the negative solution.

Therefore, the hotel should increase the daily room rate by $250 to maximize the daily profit. The optimal room rate would be $90 + $250 = $340 per day.

learn more about profit:

https://brainly.com/question/33313569

#SPJ4

Answer:

1 1/3 chapters per hour

Step-by-step explanation:

eplaination is in the picture

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

Answer: 17

Step-by-step explanation:)

If you want to get rid of a square root, square. Similarily, if you want to get rid of a cube root, cube. You have to do the same thing on both sides. When you are done make the variable the subject.

The probability of getting someone in the 18-21 age bracket or someone who refused to respond is approximately 0.34 or 34%.

To find the probability of getting someone in the 18-21 age bracket or someone who refused to respond, we need to add the probabilities of these two events happening.

First, let's find the probability of getting someone in the 18-21 age bracket. Out of the total 374 people contacted, 88 are in this age bracket. So the probability of getting someone in this age bracket is 88/374.

Next, let's find the probability of getting someone who refused to respond. Out of the total 374 people contacted, 13 in the 18-21 age bracket and 26 in the 22-29 age bracket refused to respond. So the total number of people who refused to respond is 13+26=39. Therefore, the probability of getting someone who refused to respond is 39/374.

Finally, we add these two probabilities to get the probability of getting someone in the 18-21 age bracket or someone who refused to respond:

88/374 + 39/374 = 127/374

total is 0.34% or 34%

To learn more about probability click here

brainly.com/question/30034780

#SPJ11

Answer:

135g

Step-by-step explanation:

\(\boxed{mass = density \times volume}\)

Given: density= 5g/cm³, volume= 27cm³

Mass

= 5 ×27

= 135g

The representation of the expression 2x²×3yx²  in terms of A\(x^{m}\)\(y^{n}\)where A is a real number and m and n are integers is 6x⁴y¹.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In another word the mathematics of power or exponent of any number is called indices.

As per the given expression, 2x²3yx²

Rearrange the expression as

2x²3yx² = 2×3×x²x²×y

⇒ 6x²⁺²y

⇒ 6x⁴y¹

Hence"In terms of  A\(x^{m}\)\(y^{n}\) where A is a real number and m and n are integers, statement 2x²×3yx² is represented as 6x4y.x⁴y¹".

To learn more about indices,

https://brainly.com/question/170984

#SPJ1

The linear equation for the coordinate points given is obtained as y = -3/2x + 19.5.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The coordinate points for the lines are (11,3) and (7,9).

The slope-intercept form of an equation/function is - y = mx + b

To find the slope m use the formula -

(y2 - y1)/(x2 - x1)

Substituting the values in the equation -

[9 - 3]/[7 - 11]

(6)/(-4)

3/-2

So, the slope point is obtained as m = 3/-2.

The equation becomes - y = -3/2x + b

To find the value of b substitute the values of x and y in the equation -

3 = -3/2(11) + b

3 = -33/2 + b

b = 3 + 33/2

b = (6 + 33)/2

b = 39/2

b = 19.5

So, the value for b is 19.5.

Now, the equation becomes -

y = -3/2x + 19.5

The graph for the equation is plotted.

Therefore, the equation is obtained as y = -3/2x + 19.5.

To learn more about linear equation from the given link

https://brainly.com/question/2226590

#SPJ1

Step-by-step explanation:

3/6 is the answer to your question

Answer:

12

Step-by-step explanation:

The sum of any two sides of a triangle must be greater than the third side.

Answer:

hi

Step-by-step explanation:

When radicals (square roots) include variables, they are still simplified the same way. We just have to work with variables as well as numbers

1) Factor the radicand (the numbers/variables inside the square root). Factor the number into its prime factors and expand the variable(s).

2) Bring any factor listed twice in the radicand to the outside

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

Learn more about inverse here:

https://brainly.com/question/3831584

#SPJ9

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

Learn more about percentage here:

https://brainly.com/question/29763752

#SPJ11

Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

To know more about data here    

https://brainly.com/question/29677598

#SPJ4

Answer: That is a fraction. As an improper fraction, it's 17/6.

Step-by-step explanation:

Answer:

Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.

The surface area of the cone is 119π

Surface area of a cone = πr(r + l)

where

Therefore,

r = 7 cm

l = 10 cm

Hence,

Surface area of the cone = 7π(7 + 10)

Surface area of the cone = 7π(17)

Surface area of the cone = 119π

learn more on surface area here:https://brainly.com/question/15033254

#SPJ1

Answer: option D. 119

Step-by-step explanation:

surface area of cone =\(\pi\) x r x l + \(\pi\) x r^2

r =7 l =10

pi x 7 x 10 + pi x 7^2

The two numbers are -80 and 80, with -80 being the smaller number and 80 being the larger number.

The product of these two numbers is (-80)(80) = -6400, which is the minimum possible value.

Let the two numbers be x and y, where x is the smaller number and y is the larger number.

Then we have:

y - x = 160 (since the difference between the two numbers is 160)

y = x + 160 (adding x to both sides)

We want to find the values of x and y that minimize their product, which is given by:

P = xy

Substituting y = x + 160, we get:

\(P = x(x + 160) = x^2 + 160x\)

To find the minimum value of P, we take the derivative with respect to x and set it equal to zero:

dP/dx = 2x + 160 = 0

Solving for x, we get:

x = -80

Substituting x = -80 into y = x + 160, we get:

y = 80.

For similar question on derivative.

https://brainly.com/question/31399608

#SPJ11

Answer:

Sorry i don't know......!!!!!!!

Step-by-step explanation:

Answer:

362,8800

Step-by-step explanation:

Answer:

The maximum volume the cube could have is 729 cubic inches

Step-by-step explanation:

The total surface area of the cube equals the total area of material used.

Let A = total surface area of cube = 6L² where L = length of side of cube

Since A = total area of material used, A = 486 in²

So 486 in² = 6L²

L = √(486 in²/6)

= √81 in²

= 9 in

The volume of the cube V = L³ where L = length of side of cube

So, V = (9 in)³

= 729 in³

So the maximum volume the cube could have is 729 cubic inches.

The maximum volume that the box could have will be 729inches³.

Based on the information given, the first thing to do is to find the length of the shape. This will be:

Length = ✓(486/6)

Length = ✓81

Length = 9

Therefore, the volume of the cube will be:

= 9³

= 9 × 9 × 9

= 729 in³.

Read related link on:

https://brainly.com/question/20333168

Answer:

dilation is size

Step-by-step explanation:

they amount of money are not the same

reason why;

the reason why its not the same is because 2x8x9=144 and 3x9x12=324 and the amount of money spent is different

The difference in price per cubic inch between the two sizes of cereal boxes is $0.0128.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The volume of the family-sized box of cereal is:

= 3 x 9 x 12

= 324 cubic inches

The volume of the regular-sized box of cereal is:

= 2 x 8 x 9

= 144 cubic inches

The price per cubic inch of the family-sized box is:

= 6 / 324

= 0.0185 dollars per cubic inch

The price per cubic inch of the regular-sized box is:

= 4.50 / 144

= 0.0313 dollars per cubic inch

The difference in price per cubic inch is:

= 0.0313 - 0.0185

= 0.0128 dollars per cubic inch

Therefore,

The difference in price per cubic inch between the two sizes of cereal boxes is $0.0128.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

To determine the concentration of the analyte in the unknown using the fit parameters and the linear model, you need to substitute the given signal value into the equation y = mx + b.

In this case, the linear model is represented by the equation y = mx + b, where:

y is the signal value (80.77 in this case),

m is the slope obtained from the regression analysis, and

b is the y-intercept obtained from the regression analysis.

You haven't provided the values of m and b, so I'll use placeholders for now.

Let's assume the slope (m) obtained from the LINEST formula is m = 2.5 and the y-intercept (b) is b = 10.

Substituting these values into the equation:

y = mx + b

80.77 = 2.5x + 10

To find the concentration (x), we can rearrange the equation:

2.5x = 80.77 - 10

2.5x = 70.77

x = 70.77 / 2.5

x ≈ 28.31

Therefore, based on the given fit parameters and the linear model, the concentration of the analyte in the unknown is approximately 28.31 ppm Co2+.

To learn more about regression : brainly.com/question/32505018

#SPJ11

Answer:

625 stamps

Step-by-step explanation:

100-45-30=25%

0.25 x 2500 = 625