Identify what type of shape ABCD is if… the slope of BC= -5/4 and the length of DA=6.4

Answers

Answer 1

The shape of the ABCD is a rhombus. The diagonals are not equal to each other.

What is the 2-dimensional shape?

A two-dimensional shape with horizontal and vertical axes is known as a 2d shape (x-axis and y-axis). Two-dimensional shapes have only length and width. There is no thickness or height to these shapes.

Given the vertices of ABCD are  A(-3,0), B (1,5), C(-3,10) and D(-7,5).

The formula distance between points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].

The distance between A and B is √[(1 - (-3))²+(5 - 0)²] = √(4²+5²) = 6.4

The distance between B and C is √[(-3 - 1)²+(10 - 5)²] = √(4²+5²) = 6.4

The distance between C and D is √[(-7 - (-3))²+(5 - 10)²] = √(4²+5²) = 6.4

The distance between A and D is √[(-7 - (-3))²+(5 - 0)²] = √(4²+5²) = 6.4

The distance between A and C is √[(-3 - (-3))²+(10 - 0)²] = √(10²) = 10

The distance between B and D is √[(-7 - 1)²+(5 - 5)²] = √(8²) = 8

The slope of a line passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).

The slope of AB is (5-0)/(1-(-3))=5/4

The slope of BC is (10-5)/(-3-1)=-5/4

The slope of CD is (5-10)/(-7-(-3))=5/4

The slope of AD is (5-0)/(-7-(-3))=-5/4

The number of vertices of the quadrilateral is 4.

Thus it is either a square or rectangle or rhombus or parallelogram.

Since the length of all sides is equal thus it is either a square or rhombus.

Since the diagonals are not equal it is a rhombus.

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Related Questions

which is the value of y in the solution to the following system of equations? x-4y-8=20

Answers

Answer: y = x/4 -7

Step-by-step explanation: hope this is right i was always good at math

By what percent will a percent change if its numerator is decreased by 10% and its denominator is decreased by 70%. Please answer ASAP!!!

Answers

The fraction will change by 200%.

Let the fraction is = x/y.

If its numerator is decreased by 10% then the new numerator is:

x - 10% of x

= x - 0.10x

= 0.90x

If its denominator is decreased by 70% then the new denominator is:

y - 70% of y

= y - 0.70y

= 0.30y

So the new fraction is = .

So the change in fraction is in percentage is:

So the fraction will change by 200%.

Landon works in a department store selling clothing. He makes a guaranteed salary of $400 per week, but is paid a commision on top of his base salary equal to 15% of his total sales for the week. How much would Landon make in a week in which he made $1500 in sales? How much would Landon make in a week if he made xx dollars in sales?

Answers

a) In a week in which Landon made $1,500 in sales, his weekly earnings would be $625.

b) In a week in which Landon made x in sales, his weekly earnings would be $400 + 0.15x.

How are the weekly earnings determined?

The weekly earnings are the sum of Landon's guaranteed or base salary per week and the sales commission he earns.

The sales commission is based on the sales Landon achieves per week and the commission rate of 15%.

The above situation implies that a percentage of the sales is paid out to Landon as a commission.  Generally, sales commissions are paid to encourage increased sales.

Guaranteed salary per week = $400

Sales commission on total weekly sales = 15%

Total weekly sales = $1,500

Landon's total earnings for the week = $625 [$400 + $1,500(0.15)]

Landon's total earnings in a week he made xx dollars in sales = $400 + 0.15x

Thus, we can conclude that Landon gets 15 cents (15%) from each dollar in sales in addition to his weekly base salary of $400.

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At what point will these two lines meet?
Graph both lines in the sketch box to find your answer
Y=2x-5
Y=-2/3x+3
Write your answer as an ordered pair with parenthesis.

Answers

The ordered pair which represents the point of intersection of the system of equations, y = 2x - 5 and y = -2/3x + 3 is: (3, 1).

How to Find the Solution of a System of Equations?

The solution to a system of equations can be determined by graphing both equations that represent the lines on a coordinate plane. Search for the point where both lines intersect each other.

The point where they intersect each other is the ordered pair that represents the solution of the system of equations.

Given the following system:

y = 2x - 5

y = -2/3x + 3

y = 2x - 5 is the red line in the graph while y = -2/3x + 3 is the blue line.

Both lines intersect at (3, 1). Therefore, the solution to the system is: (3, 1).

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Exercise 479 Analyzing Functions from Derivatives Answer the following questions about the functions whose derivatives are given in Exercises 1-14: a. What are the critical points of f? 2 F'(x)=(x-1)(x+2)​

Answers

The critical points of the function f are x = 1 or x = - 2

What is a critical point of a function?

The critical point of a function is the value at which the function changes direction.

It is also the value at which the first derivative of the function equals zero.

What are the critical points of the function f?

To find the critical points of the function f, since we have the derivative of the function F'(x) = (x - 1)(x + 2).

At the critical point, the derivative of the function F'(x) equals zero.

So, we have that F'(x) = 0.

So, equating the function F'(x) to zero, we have that

F'(x) = 0

(x - 1)(x + 2) = 0

x - 1 = 0 or x + 2 = 0

x = 1 or x = - 2

So, the critical points are x = 1 or x = - 2

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Can anyone help me with this?

Answers

Answer:

[tex]\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]2 \frac{5}{8} = \frac{21}{8}[/tex]

Divide [tex]\frac{21}{8}[/tex] by [tex]\frac{3}{4}[/tex]

[tex]\frac{21}{8}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{7}{2}[/tex]

a 12 foot ladder is leaning aginst a building. if the base of the ladder is 5 feet from the base of the house how high up the house will the ladder reach

Answers

The height of the house with the ladder is 10.9 feet

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

The hypotenuse = 12

adjascent = 5

opp = x

hyp² = opp² + adj²

12² = 5² + x²

x² = 12² - 5²

x² = 144 - 25

x² =119

x² = √119

x= 10.9 feet

therefore the height of the house from the ladder is 10.9 feet

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Gary is forming capture the flag teams out of all of the students that signed up from two classes. Each team must have the same number of players and be from the same class.

What is the largest number of players that Gary can put on each team

Answers

Answer:I don’t know

Step-by-step explanation:

Which of the following is the equation of the Une shown below?
A y=5x-6
B y=7x+6
C y=6x-5
D y=7x-6
-process

Answers

The equation of the line passing through the point (0, 2) and (2, 12) is y = 5x + 2

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Let us assume the line passes through the point (0, 2) and (2, 12), hence:

y - 2 = [(12 - 2)/(2 - 0)](x - 0)

y = 5x + 2

The equation of the line is y = 5x + 2

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I have a product I’m selling for 111.55 my gross margin is 3% what is my average cost? Also what is the formula?

Answers

The average cost of your item, based on a gross margin of 3%, is $108.20.

What is the average cost?

The average cost is the cost per unit.

It can be computed as the quotient of the total cost and the number of units.

What is the gross margin?

The gross margin is the percentage difference between the cost of goods sold and the sales revenue.

The gross margin percentage is expressed as a quotient of the sales revenue multiplied by 100.

Selling price = $111.55

Gross margin = 3%

Selling price = 100%

Cost of goods sold = 97% (100 - 3)

Average cost (cost per unit) = Selling Price x Percentage Cost/Selling Price Percentage

$108.20 ($111.55 x 97/100)

Thus, the average cost of the product is $108.20.

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que ecuacion muestra como se relaciona y con la x en la tabla

Answers

In the given table, y = 6x is the function as 6 = (6)1, 12 = (6)2 and 18 = (6)3. Thus, option D is correct.

What is a function?

A function f from domain X to domain Y is written as f: X Y. A function is described as a map that associates each element in the domain with precisely one element in the codomain. In order to determine the value returned by a function given by an argument x, Euler was the first to use the modern representation f(x) (read "f of x). Assume that the function f converts x to Y and y to Y. Then, we can write it as y = f. (x).

A function transformation in mathematics is a function that converts one function or graph into another, typically related function or graph. For instance, when a quadratic graph is translated, the vertex and axis of symmetry are moved, but the overall shape of the parabola remains the same.

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Which is a better buy: a 220 ml jar of Brand Y cream cheese at 44 AED or a 470 mL of
Brand Z cream cheese at 100 AED?

Answers

Answer:

To determine which cream cheese is a better buy, we need to compare the price per unit of volume for each brand.

For Brand Y cream cheese:

Price per unit = 44 AED / 220 ml = 0.2 AED/ml

For Brand Z cream cheese:

Price per unit = 100 AED / 470 ml = 0.2127 AED/ml

Since the price per unit of volume for Brand Y cream cheese is 0.2 AED/ml and the price per unit of volume for Brand Z cream cheese is 0.2127 AED/ml, Brand Y cream cheese is cheaper per unit of volume. Therefore, Brand Y cream cheese is a better buy.

The histogram provided summarizes the high temperature recorded each day for one month. Which of the following conclusions is accurate accordin
the data provided?
A The temperatures were generally increasing throughout the first few weeks of the month.

B The most frequently recorded high temperature during the month was 78 degrees.
C There were fewer days with high temperatures between 77 and 80 degrees than between 65 and 76 degrees.
D There were an equal number of days with high temperatures of 81 degrees or higher and days with high temperatures of 76 degrees or lower.
PLS ANSWERR

Answers

Answer:

Step-by-step explanation:

Given the histogram provided, it is not possible to draw a conclusion as it doesn't show any data.

A histogram is a graphical representation of a dataset, showing the frequency of each data point in a specific range. The x-axis shows the range of data points, and the y-axis shows the frequency of each data point. Without the data, it's impossible to draw any conclusion.

In order to draw a conclusion, we need to know the data that the histogram represents, such as the range of temperatures, the frequency of each temperature, and the number of days in the month. Based on that information, we can draw conclusions about the data provided.


Find each missing measure for x, y, z please!!!

Answers

z and x is would be 32. 180-148=32. for Y you need to find a right angle which is 90 so z=32 and 90-32=58 Y would be 58

Jordan invested $370 in an account in the year 2005, and the value has been growing
exponentially at a constant rate. The value of the account reached $480 in the year
2012. Determine the value of the account, to the nearest dollar, in the year 2017.

Answers

The constant interest rate of the Jordan's investment is 3.8%

The amount in 2017 is calculated to be $578.86

What is an exponential function?

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem,   f(x) = a(b)ˣ

the starting, a = 370

the base = ?

the exponents = year periods

the base is calculated below

form 2012 to 2005 is 7 years hence x = 7

amount inn 2012 = amount in 2005 (b)ˣ

480 = 370 * b⁷

48/27 = b⁷

b = 1.038

this is same as 3.8% increment

The amount in 2017

from 2017 to 2005 is 12

= 370 * 1.038¹²

= 578.86

The amount in 2017 is $578.86

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What is the mode number to 90 93 93 96 100

Answers

Answer:

93

Step-by-step explanation:

the mode is the value in the data set that occurs most often.

in this case that is 93 , so

mode = 93

Answer:

93

Step-by-step explanation:

the number which has higher frequency is the mode. here 93 comes 2 times. thus, 93 is the mode.

work this out for points and brainliest !​

Answers

Answer:

P = 5c + 11 , c = 3

Step-by-step explanation:

(a)

the perimeter P) is the sum of the sides.

Note that the 2 sides with a ' dash' through them are congruent

summing the 4 sides

P = c + 5 + 3c - 2 + 10 - 2c + 3c - 2 ( collect like terms )

  = 5c + 11

(b)

equate the expression for P from (a) to 26

5c + 11 = 26 ( subtract 11 from both sides )

5c = 15 ( divide both sides by 5 )

c = 3

How much interest would you receive on a deposit of $525 for three months at a rate of 4.5%?
Round your answer to the nearest cent. Enter your answer in number form only. Do not attach a label.

Answers

Answer:

$5.91

Step-by-step explanation:

The amount of simple interest gained from a sum of money can be represented as:

[tex]\textrm{Interest} = P\cdot r\cdot t[/tex]

where [tex]P[/tex] is the principal amount (original sum of money), [tex]r[/tex] is the rate of simple interest per time period, and [tex]t[/tex] is the period of time in relation to a year.

To solve this problem, we simply have to plug the given values into the above formula and round the result to the hundredths place (cents).

[tex]P = \$525[/tex],  [tex]r = \dfrac{4.5\%}{\textrm{month}}[/tex],  [tex]t = 3 \textrm{ months} = \dfrac{1}{4} \text{ year}[/tex]

[tex]\textrm{Interest} = \$525 \cdot 4.5\% \cdot \dfrac{1}{4}[/tex]

[tex]\boxed{\textrm{Interest} \approx \$5.91}[/tex]

Answer:

$5.91 (nearest cent)

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I=Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given values:

P = $525r = 4.5% = 0.045t = 3 months

As the value of t has been given in months, we need to convert it to years before inputting it into the formula.

[tex]\sf \implies 3\; months=\dfrac{3}{12}\;year=\dfrac{1}{4}\; year[/tex]

Therefore, the values to input into the formula are:

P = $525r = 4.5% = 0.045t = 1/4 year

Substitute the values into the formula and solve for I:

[tex]\implies I=525 \cdot 0.045 \cdot \dfrac{1}{4}[/tex]

[tex]\implies I=23.625 \cdot \dfrac{1}{4}[/tex]

[tex]\implies I=5.90625[/tex]

Therefore, the amount of interest you would receive on a deposit of $525 for three months at a rate of 4.5% is $5.91 (nearest cent).

increased by 8 percent before it was 1.62

Answers

Answer:

Not rounded:

1.62 increased by 8% of the value = 1.7496

The actual change:

1.7496 - 1.62 = 0.1296

Rounded off to max. 2 decimal places:

1.62 increased by 8% of the value ≈ 1.75

The actual change:

1.75 - 1.62 ≈ 0.13

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

8% = 8 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

8% = 8/100 = 8 ÷ 100 = 0.08

100% = 100/100 = 100 ÷ 100 = 1

The value of the percentage increase = 8% × 1.62

The new value = 1.62 + The value of the percentage increase

The new value =

1.62 + The value of the percentage increase =

1.62 + (8% × 1.62) =

1.62 + 8% × 1.62 =

(1 + 8%) × 1.62 =

(100% + 8%) × 1.62 =

108% × 1.62 =

108 ÷ 100 × 1.62 =

108 × 1.62 ÷ 100 =

174.96 ÷ 100 =

1.7496 ≈

1.75

The actual change =

The new value - 1.62 =

1.7496 - 1.62 =

0.1296 ≈

0.13

The value of the percentage increase =

8% × 1.62 =

8 ÷ 100 × 1.62 =

8 × 1.62 ÷ 100 =

12.96 ÷ 100 =

0.1296 ≈

0.13

Anderson multiplies two rational expressions with the
following results. Describe his error. Then find the correct product.

Answers

Anderson's mistake in solving the rational expression, is he cancelled out variable and numbers without taking them in common.

What is a rational expression?

A rational expression is the ratio of two polynomials. If f is a rational expression, then f can be written in the form p/q where p and q are polynomials.

Given that, Anderson multiplies two rational expressions with the following results.

The given expression is  [tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1} = \frac{-1}{-8x(x^{2} +2)}[/tex]

His error is, he cancelled out the variables and numbers without taking them common, we can not cancel variables and numbers if they are in addition or subtraction with other variables and numbers.

Hence, the correct solution is;

[tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1}\\\\= \frac{(x+4)(x-4)}{x^{2} -4x-4x+16} . \frac{x+1}{x^{2} +x+x+1} \\= \frac{(x+4)(x-4)}{(x-4)(x-4)} .\frac{x+1}{(x+1)(x+1)} \\=\frac{x+4}{(x-4)(x+1)}[/tex]

Hence, the correct solution is [tex]=\frac{x+4}{(x-4)(x+1)}[/tex]

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To avoid the excessive use of water, the water control office started increases in the "C" costs, in dollars of the tariffs, depending on the number of "X" cubic meters of water consumed




Solve:

The cost in dollars, for a consumption of 15 cubic meters of water.
The cost in dollars, for a consumption of 30 cubic meters of water.
The cost in dollars, for a consumption of 50 cubic meters of water.
The cost in dollars, for a consumption of 70 cubic meters of water.

Answers

The cost for a consumption of 15 cubic meters of water is 23.85 dollars

The cost for a consumption of 30 cubic meters of water is 67.8 dollars

The cost for a consumption of 50 cubic meters of water is 113 dollars

The cost for a consumption of 70 cubic meters of water is 404.6 dollars

How to solve for the cost for a consumption of 15 cubic meters of water?

A piecewise-defined function is a function that is defined by multiple sub-functions, each of which applies to a certain range of the input (or domain) values.

We have the  piece-wise cost function for different number of "X" cubic meters of water consumed:

          { 1.59x ,si 0< x ≤ 20

C(x) =  { 2.26x ,si 20 < x ≤ 50

          {5.78x ,si            50< x

The cost in dollars, for a consumption of 15 cubic meters of water:

Use C(x) = 1.59x and x = 15

C(15) = 1.59 × 15 = 23.85 dollars

The cost in dollars, for a consumption of 30 cubic meters of water:

Use C(x) = 2.26x and x = 30

C(30) = 2.26 × 30 = 67.8 dollars

The cost in dollars, for a consumption of 50 cubic meters of water:

Use C(x) = 2.26x and x = 50

C(50) = 2.26 × 50 = 113 dollars

The cost in dollars, for a consumption of 70 cubic meters of water.

Use C(x) = 5.78x and x = 70

C(70) = 5.78 × 70 = 404.6 dollars

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Ready
Linear Functions: Model from a Verbal Description-Instruction-Level H
Khloe spends the day in a state park. Then she hikes back to her car at a constant rate. After 1 h,
she is 8 miles (mi) from her car. After 3 h, she is 2 mi from her car.
Write an equation for Khloe's distance from her car in miles, y, as a function
of the time in hours, z.
y= x+ ?

Answers

The equation for Khloe's distance from her car in miles, y, as a function of the time in hours, x, is y = -3x + 11.

What is Linear Function?

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.

We have the two points of x and y.

After 1 hour, Khloe is 8 miles from her car.

When x = 1, y = 8

After 3 hours, Khloe is 2 miles from the car.

When x = 3, y = 2

Points of the linear function are (1, 8) and (3, 2)

Slope of the line = (2 - 8) / (3 - 1) = -6/2 = -3

Take a point (1, 8).

Equation of the linear function in point slope form can be written as,

y - 8 = -3(x - 1)

y - 8 = -3x + 3

y = -3x + 3 + 8

y = -3x + 11

Hence the linear function representing the situation is y = -3x + 11.

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Set up the equation to solve for the missing side length.
+
26
=I
10
E

Answers

The equation to solve the missing the side length is x² + 10² = 26²

What is right-angled triangle ?

A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

Lets take the missing side be x

The equation be

x² + 10² = 26²

x² = 26² - 10²

x² = (26 + 10)(26 - 10)

x² = 36*16

x² = 576

x = √576

  = 24

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Calculate the amount of heat released when 27.0 g H2O is cooled from a liquid at 314 K to a solid at 263 K. The melting point of H2O is 273 K. Other useful information about water is listed below. Cp,liquid = 4.184 J/(g•K) Cp,solid = 2.093 J/(g•K) ΔHfusion = 40.7 kJ/mol

Answers

Step-by-step explanation:

The amount of heat released in the given situation would be as follows:

-66.2 KJ−66.2KJ

Given that,

Weight of H2OH2O = 27g=27g

The Temperature of the Liquid = 314 k=314k

The Temperature of the Solid = 263 K=263K

Melting point of H2O = 273 KH2O=273K

To find,

The amount of heat released = [Q[Q × C_{p}lC

p

l ×(T_{final} - T_{Initial} ) +(T

final

−T

Initial

)+ Δ Hfusion + [mHfusion+[m × C_{p}sC

p

s × T_{final} - T_{Initial} ]T

final

−T

Initial

]

By putting the values in the above formula,

∵ Heat released = -66.2 KJ−66.2KJ

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quadratic inequality solve x²-5x > 5

Answers

Answer:

x∈(-∞,-0.854)⋃(5.854,∞) or x<-0.854 or x>5.854

Step-by-step explanation:

depends on what u want

the mass of a newborn kitten is 400 g. When it is a fully grown adult cat, its mass is 4000 g. The cat's final mass as a percentage of its newborn mass is, %​

Answers

Answer: 1000%

Step-by-step explanation:

Suppose the newborn mass is 100%. 4000 is 10 times that, which is 1000%.

Answer: %1000

What is a percentage?

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

If we know that the newborn cat's weight is equivalent to 400g, and when it is fully grown it is equal to 4000 grams, we need to know how many times more is the full-grown cats' mass is compared to the newborn.

400 × 10 = 4000

We now know that the adult cat is 10 times larger than the newborn cat, meaning that it is %1000 of the newborn cat's size.

How do I solve 4x^2+6x=0 by factoring

Answers

Answer: [tex]x=0, -\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}[/tex]

Assume that u⋅v=5, ∥u∥=10, and ∥v∥=7.

What is the value of 3u⋅(9u−9v)?

Answers

Answer: 3u⋅(9u−9v) = 285

Step-by-step explanation:

We can start by using the distributive property for the dot product:

3u⋅(9u−9v) = 3u⋅9u - 3u⋅9v

We also know that the dot product of two vectors u and v is u⋅v = ∥u∥∥v∥cos(θ), where θ is the angle between vectors u and v. Therefore,

u⋅v = 5 = 107cos(θ)

So we can write:

cos(θ) = 5/(10*7) = 1/14

Then we can use this value to find the dot product of u and v.

3u⋅9u = 3 * (10^2) = 300

3u⋅9v = 3 * (10)(7)(1/14) = 15

So the final answer is:

3u⋅(9u−9v) = 300 - 15 = 285

Explanation: By using the distributive property and the dot product definition, it was possible to find the dot product of 3u⋅9u and 3u⋅9v. By subtracting the latter from the former, we obtained the final answer of 285.

please help me thank you!

Answers

Answer:2200 seats per minute

Step-by-step explanation:

draw a line from 6 minutes upwards till your line and the line on the graph meet then where the line meets draw another line going across(left)

Read across (left side) and the number will be your answer

If a 4 lb bag of sugar costs $2.99, what is the unit cost for a pound of sugar?

Answers

Answer: The unit cost for a pound of sugar is $0.75. This means that for every pound of sugar, it costs $0.75.

Step-by-step explanation:

To find the unit cost for a pound of sugar, we need to divide the total cost of the 4 lb bag of sugar by the weight of the bag.

Unit cost = Total cost / Weight

Total cost = $2.99

Weight = 4 lbs

Unit cost = $2.99 / 4 lbs = $0.75 per pound

So, the unit cost for a pound of sugar is $0.75. This means that for every pound of sugar, it costs $0.75.

It's worth noting that this calculation gives us the unit price of the sugar, which is the price per pound of sugar, and not the unit cost which is the total cost of production divided by the total number of units produced.

It's also worth noting that some sellers may use different units of measurement, and you should always check that you are comparing the same units when comparing prices.

Answer:

The unit cost for a pound of sugar would be $0.75.

To find the unit cost, divide the total cost by the number of pounds: $2.99 / 4 lbs = $0.75/lb.

Step-by-step explanation:

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