The 20 members of the photography club are trying to raise at least $1,400 for
new photography equipment. They have already raised $540.
Let m represent the amount of money each member must raise, on average, to meet
their goal. Write an expression for the total amount of money going to be raised.
b Write an equation that represents the club raising all the money.
с
Solve the equation. What does the solution mean in context of the scenario?
d Write an inequality representing the amount of money each member must raise,
on average, to meet or exceed their goal.
Write an inequality showing the possible average amount of money each club member
needs to raise.

Answers

Answer 1

Answer:

i dont know if this helps, im not sure if you are telling me to do all of these things or B, c, d are answer

Step-by-step explanation:

To find the total amount of money that the photography club will raise to meet their goal, we can multiply the average amount of money each member must raise by the number of members in the club:

Average amount of money each member must raise = m

Number of members in the club = 20

Total amount of money to be raised = Average amount of money each member must raise x Number of members in the club

Total amount of money to be raised = m x 20

We know that the club is trying to raise at least $1,400, and they have already raised $540. Therefore, the amount of money they still need to raise is:

Amount of money still needed to reach goal = $1,400 - $540

Amount of money still needed to reach goal = $860

We can set up an equation to represent the total amount of money the club will raise to meet their goal:

Total amount of money to be raised = Amount of money still needed to reach goal

m x 20 = $860

We can solve for "m" by dividing both sides of the equation by 20:

m = $860 / 20

m = $43

Therefore, the total amount of money the club will raise to meet their goal is:

Total amount of money to be raised = Average amount of money each member must raise x Number of members in the club

Total amount of money to be raised = $43 x 20

Total amount of money to be raised = $860

B))) We can set up an equation to represent the total amount of money the club will raise to meet their goal:

Total amount of money to be raised = Amount of money already raised + Amount of money still needed to reach goal

We know that the club has already raised $540 and they need to raise $860 more to reach their goal of $1,400. Therefore, we can substitute these values in the equation:

Total amount of money to be raised = $540 + $860

Total amount of money to be raised = $1,400

So the equation that represents the club raising all the money is:

$1,400 = $540 + $860

C)))) To solve the equation:

$1,400 = $540 + $860

We can simplify the right-hand side of the equation by adding $540 and $860:

$1,400 = $1,400

This equation is true, which means that it is a consistent equation. The solution to this equation is that the club will be able to raise all the money they need to buy the new photography equipment.

In the context of the scenario, the solution means that the club will be able to meet their goal of raising at least $1,400 for new photography equipment. They have already raised $540, and they need to raise $860 more to reach their goal. The equation shows that the total amount of money they will raise is exactly $1,400, which is the amount they need to meet their goal.

D))))) To represent the amount of money each member must raise, on average, to meet or exceed their goal, we can use the following inequality:

Average amount of money each member must raise ≥ Total amount of money still needed to reach goal / Number of members in the club

We know that the total amount of money still needed to reach the goal is $860, and there are 20 members in the club. Therefore, we can substitute these values in the inequality:

Average amount of money each member must raise ≥ $860 / 20

To simplify the right-hand side of the inequality, we can divide $860 by 20:

Average amount of money each member must raise ≥ $43

This inequality shows that each member must raise at least $43, on average, to meet or exceed their goal of raising $1,400.

To show the possible average amount of money each club member needs to raise, we can use the following inequality:

0 < Average amount of money each member must raise ≤ Total amount of money still needed to reach goal / Number of members in the club

This inequality shows that the average amount of money each member must raise is greater than 0 (since each member must contribute something), but it is less than or equal to $43 (which is the minimum amount each member must raise to meet or exceed their goal).


Related Questions

consider a two-factor factorial design with three levels for facts a, three levels for factor b, and four replicates in each of the nine cells

a. how many degrees of freedom are there in determining the A variation and the factor B variation

b. how many degrees of freedom are there in dreaming the interaction variation

c. how many degrees of freedom are there in determining the random variation

d. how many degrees of freedom are there in determining the total variation

Answers

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

What is a two-factorial design?

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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what kind of graph is this?

what kind of graph is this?

Answers

Answer:

Linear

General Formulas and Concepts:

Types of Graphs

LinearQuadraticExponentialCubicSquare rootCube root

Step-by-step explanation:

Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.

The table shows the monthly rainfall at a measuring station. What is the mean monthly rainfall? Round your answer to the nearest thousandth.

Answers

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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Find the shortest distance from Starting vertex A to F on the network below

Answers

In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

What are the steps?

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm?

Answers

Answer:

9th min?

Step-by-step explanation:

lol sorry im set 4 maths

144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

What is Surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Radius of a spherical ball is increasing at a rate of 2 cm/min.

We need to find exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm

S = surface area at time t,  and r = radius at time t

r=9cm

dr/dt = 2 cm/min

S = 4πr²

Differentiate with respect to t

ds/dt=2.4πrdr/dt

=8πr(2)

=16πr

=16π(9cm)

=144π cm²/min

Hence 144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

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Need help with my Math homework

Need help with my Math homework

Answers

Answer:

Step-by-step explanation:

Need help with my Math homework

(30 points!)
The lengths of the sides of a triangle are in the extended ratio 4:7:9. The perimeter is 60cm. What are the lengths of the sides?​

Answers

Answer:

The lengths of the sides are 12cm, 28cm and 36cm.

Step-by-step explanation:

Let the smallest side be 4x, the middle side be 7x and the largest side be 9x.

Smallest side + middle side + largest side = 60cm

4x + 7x + 9x = 60

20x = 60

x = 60 ÷ 20

x = 3

Smallest side (4x) = 3 × 4

                             = 12

Middle side (7x)  = 7 × 4

                           = 28

Largest side (9x) = 9 × 4

                            = 36

please answer this! (from khan academy 6th grade math)

please answer this! (from khan academy 6th grade math)

Answers

Answer:

(-5, -7) and the x-axis

Step-by-step explanation:

when looking for a point that is 7 points away, we are looking for a difference of 7 in either the x-value or the y-value.

[remember: a point is written as (x, y) ]

We know that the x-value is -7, meaning that it is 7 units under the x-axis (meaning that it is 7 units away)

We know that our point, (2 , -7) has the same y-value as (-5, -7), so we are looking for a change in x. The difference (which is the change) between:

-5 and 2 is 7

(2 - (-5) = 2 + 5 = 7)

so, both the x-axis and the point (-5, -7) are 7 units away from (2, -7)

(the other point (-7, 7) is not near (2 , -7) at all--they have a larger difference on both the y-values, the x-values, and the length of if you made a diagonal line)

(I've attached an image to help you visualize what we're doing)

hope this helps!!

please answer this! (from khan academy 6th grade math)

There are 16 squares and 4 circles. What is the simplest ratio of circles to squares?

Answers

Okay so
16:4 is your starting ratio. Start by finding your GCF, which for this set, is 4.
Divide both sides by 4.
This gives you 4:1 (4 squares to 1 circle)

Hope this helps!

the simplest ratio of the Squares to the circle is 4:1.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, There are 16 squares and 4 circles.

Since there are 16 squares for 4 circles

The ratio of the Squares to the circle = 16/4

The ratio of the Squares to the circle = 4/1

Therefore, the simplest ratio of the Squares to the circle is 4:1.

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A commercial jet flies 1,500 miles with the wind. In
the same amount of time it can fly 1,000 miles against the
wind. The speed of the jet in still air is 550 mph. Find the
speed of the wind.

Answers

Answer:

As below

Step-by-step explanation:

we want to know  how long it took to fly  so make two equations and set them equal to each other using the variable t

so, use  d = r*t   where d= distance , r= rate ( speed) and t = time  

w= wind velocity (speed with direction)

1500=(w+550)*t

1000=(-w+550)*t

now make both equations with respect to t

1500/(w+550) = t

1000/(-w+550) = t

since they are both equal to t,  where t is the same amount of flying time, set the two equations equal to each other

1500/(w+550) = 1000/(-w+550)

now solve for w

1500w + 825,000 = -1000w+550,000

2500w= -275,000

w = - 110

the wind speed is 110 opposite of the planes direction but also, if the plane flies in the other direction with it.  

wind velocity (velocity is speed with a direction )   is 110 MPH

they are asking for speed, b/c we don't know anything about direction... that is which direction is the plane headed during it's flight therefore we also can't say anything about the   wind direction either.  :|

K
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ
scores are known to have a mean and median of 100
105
105
111
105
111
102
106
91
99
99
109
99
109
111
115
112
Sample of Size 5
91
91
111
Sample of Size 12
888888 888
100
110
97
104
Sample of Size 30
91
111
113
113
108
113
108
91
118
110
Full data set o
101
109
101
109
91
97
95
CELES
m
For each data set, compute the mean and median
What is the mean of the sample of size 5?
(Type an integer or decimal rounded to one decimal place as needed

KEach of the following three data sets represents the IQ scores of a random sample of adults. IQscores

Answers

A 1.5 standard deviations above the mean IQ score is 122.5.

How do equations work?

An expression that depicts the relationship between two or more numbers and variables is called an equation.

A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.

Giving the z score are:

z is calculated as (raw score - mean) / standard deviation.

with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:

1.5 = (x - 100)/15

x = 122.5

A 1.5 standard deviations above the mean IQ score is 122.5.

The Complete Question is IQ score.

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1/4 - 1/16 + 2/17 -2/17 + 3/14 =

Answers

Answer:

\( \frac{45}{112} \)

Answer:

there are 2 answers i don't know which 1 u need

Step-by-step explanation:

the exact form is- 25/84

the decimal form is- 0.29761904

HOPE THIS HELPS U

Please help I will mark brainliest

Please help I will mark brainliest

Answers

Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.


A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $


B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $


C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $


D: What will be the cost of the entire project? $

Answers

Answer: A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

Step-by-step explanation:

To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.

Given dimensions:

Room length: 26 feet

Room width: 18 feet

Room height: 9 feet

Door dimensions:

Height: 6 feet 6 inches

Width: 4 feet

Window dimensions (each):

Width: 2 feet

Height: 2 feet 6 inches

A: Carpeting the floor:

To find the area of the floor, we multiply the length and width of the room:

Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.

To convert to square yards (since the carpet is sold per square yard), we divide by 9:

Floor area in square yards = 468 square feet / 9 = 52 square yards.

Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.

B: Wallpapering the walls:

To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:

Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.

Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.

C: Painting the ceiling:

To find the area of the ceiling, we multiply the length and width of the room:

Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.

Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:

Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.

Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.

Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.

D: Cost of the entire project:

Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling

= $936.00 + $297.00 + $33.25 = $1266.25.

Therefore:

A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

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A local road has a grade of 2%. The grade of a road is its slope expressed as a percent. Find the slope of the road as a fraction and then simplify.

Answers

Answer:

\(\frac{1}{50}\)

Step-by-step explanation:

2% = \(\frac{2}{100}\) = \(\frac{1}{50}\)

The slope of the road expressed as fraction is 2/100. When we simplify 2/100, the result obtained is 1/50

How to determine the slope in fraction

From the question given above, we were told that the grade of the road is 2% which is equal to the slope. Thus, we can express 2% as fraction as illustrated below:

2% = 2/100

How to simplify 2/100

2/100 can be simplified to it's lowest term as shown below:

2/100

Divide the numerator and denominator by 2

1/50

Thus,

2/100 = 1/50

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The Four-Digits Problem

Use the digits 1, 2, 3, and 4 to write expressions for the numbers

1 through 50. Each digit is used exactly once in each expression.

(There might be more than one expression for a given number.)

You can use addition, subtraction, multiplication and division, factorial, absolute

, exponents, and parentheses in any way you wish.

Answers

Answer:

praktik ko yctgv hujan hu bule

Find the quotient. 10/6 divided by 1/12

Answers

Answer:

the awnser is 20

Step-by-step explanation:

10

6

÷  

1

12

=  

10

6

×  

12

1

=  

10 × 12

6 × 1

=  

120

6

=  

120 ÷ 6

6 ÷ 6

=  20

Step-by-step explanation:

10/6 / 1/12

= 20

10        12             120

     x            =  

6           1               6

120/6=20

hope it helps! :3

The number of widgets that a manufacturing plant can produce varies jointly as the number o
workers and the time that they have worked.
1) Find the constant of proportionality, k, to 2 decimal places if 640 workers work 11 hours and
produce 3993.6 widgets.
k
2) How many widgets (to the nearest tenth) can be produced by 650 workers in 27 hours?
Widgets =
Add Work
Calculator

Answers

Answer:

Step-by-step explanation:

I think that the answer is ................................................................................................................................................Your adopted

A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?

Answers

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Find the area of the trapezoid.
12 2 cm
10 2 cm
126 cm
[? ] cm
Enter the exact answer. Do not round.

Find the area of the trapezoid.12 2 cm10 2 cm126 cm[? ] cmEnter the exact answer. Do not round.

Answers

i got 141.12 cm^2 by doing A= (a+b /2)x height

Help plz I need the gelopppppp

Help plz I need the gelopppppp

Answers

Answer:

the answer is 12

Step-by-step explanation:

J&L Electrical Services had a beginning balance (1 January 2019) in accounts receivable (debtors) of R200 000 and a beginning balance of allowance for credit losses of R4 000. During the financial year (1 January 2019 – 31 December 2019) they delivered services on credit for R660 000 and collected R640 000 from debtors. If J&L Electrical Services estimates that 2% of ending accounts receivable will not be collected, his adjusting journal entry will include a: A. credit to allowance for credit losses of R4 400. B. debit to allowance for credit losses of R400. C. debit to allowance for credit losses of R4 400. D. credit to allowance for credit losses of R400.

Answers

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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Pls help maths problem

Pls help maths problem

Answers

The function's input value is \(2\), and the result is \(-11\), making LHS identical to RHS.

What does the word value also mean?

The words value and cherish are frequently used interchangeably. Value suggests that something is rated highly for its inherent value even if all of these terms imply "to keep in high estimation." our friendship is valued.

What is values so crucial?

Like a barometer, values give our lives purpose and direction. Whatever is happening in our life, our values may point the way forward and guide our decision-making. Values are crucial for maintaining our mental health since they are closely related to our identity.

\(x*-7+3=-11\)

Put the value of \(x\)

\(x=2\)

Then

\(2*-7+3=11\)

\(-14+3=11\)

\(L.H.S.=R.H.S.\)

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can someone help me i will give brainlest

can someone help me i will give brainlest

Answers

Answer:

(48, 3), (80, 5), (160, 10)

Only answer if you’re sure :) need the whole answer! Will give Brainly

Only answer if youre sure :) need the whole answer! Will give Brainly

Answers

Answer:

Step-by-step explanation:

y = -1x + 1

y = -x + 1

I'm sure  :P

Answer:

y=-1x+1

Step-by-step explanation:

the slope is 1/1 and line is declining hence the negative

Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of four fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.

A′(−3.2, 4.8), B′(−1.6, 1.6), C′(3.2, −1.6), D′(3.2, 3.2)
A′(−16, 24), B′(−8, 8), C′(16, −24), D′(16, 16)
A′(3.2, −4.8), B′(1.6, −1.6), C′(−3.2, 1.6), D′(−3.2, −3.2)
A′(4.5, −3), B′(1.5, −1.5), C′(−1.5, 3), D′(3, 3)

Answers

Answer:

A.

Step-by-step explanation:

New x-coordinate = (-4) * (4/5) = -16/5 = -3.2

New y-coordinate = 6 * (4/5) = 24/5 = 4.8

that's the only option with a -3.2 for A

A programmer erroneously wrote an expression as: 0 < x < 10. Rewrite the expression using logical AND. Use parentheses. (x > 0)

Answers

A programmer erroneously wrote an expression as 0 < x < 10. This expression 0 < x < 10 can be rewritten using logical AND as (0 < x) AND (x < 10).

The expression 0 < x < 10 is commonly used to indicate that x is a value between 0 and 10, but it is not correct in programming. In programming, logical operations like "less than" and "greater than" are usually represented by < and > symbols, respectively.

To properly express the condition that x is between 0 and 10, we need to use the logical operator AND, which allows us to combine multiple conditions.

The logical AND operator in programming is typically represented by the symbol && or the word "AND". It evaluates to true if and only if both of the conditions on either side of the operator are true. If either condition is false, the whole expression is false.

To rewrite the expression 0 < x < 10 using logical AND, we first separate the conditions into two separate expressions:

x > 0 AND x < 10

which can be written as,

(0 < x) AND (x < 10).

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Find the value of y. (7x-7) 63 (3x + 45) (-6)​

Find the value of y. (7x-7) 63 (3x + 45) (-6)

Answers

Answer:

b

Step-by-step explanation:

just did the test like 20 mins ago good look

Suppose that you are checking your work on a test, and see that you have computed the cross product of
v=i+2j−3k
and
w=2i−j+2k
. You got
v×w=i+8j−5k
. Without actually redoing
v×w
, how can you spot a mistake in your work?

Answers

One way to spot a mistake in the computation of the cross product v x w = i+8j-5k without redoing the calculation is to check the orthogonality of the resulting vector to both v and w.

The cross product of two vectors v and w is a vector that is orthogonal to both v and w. In other words, the dot product of the cross product with either v or w should be zero.

To check if i+8j-5k is orthogonal to v and w, we can take the dot product of i+8j-5k with each vector. If the dot product is not zero, it means that the vector is not orthogonal to the corresponding vector, and therefore the calculation of the cross product is incorrect.

In this case, the dot product of i+8j-5k with v is 11 + 82 + (-5)(-3) = 1 + 16 + 15 = 32, which is not zero. Similarly, the dot product of i+8j-5k with w is 21 + (-1)8 + 2(-5) = 2 - 8 - 10 = -16, which is also not zero. Therefore, we can conclude that the vector i+8j-5k is not orthogonal to either v or w, and the calculation of the cross product is incorrect.

In summary, one way to spot a mistake in the computation of the cross product without redoing the calculation is to check the orthogonality of the resulting vector to both v and w. If the dot product of the cross product with either v or w is not zero, it means that the calculation is incorrect.

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o help save for college, your friend invested $1000 in an account that pays 6% annual interest compounded continuously. How much money will your friend have after 4 years?

Answers

$1,240 is the answer.
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