Find the minimum length of u × v when u = 5 j and v is a position vector of length 4 in the xy-plane.

Answers

Answer 1

length 8 that starts atthe origin and rotates in the xy-plane. Find the maximumand minimum values of the length of the vector u× v.

Related Questions

Calculate the length of the line segment. Round your answer to tje nearest tenth .

Answers

The required measure of the length of the given line is 8.6 units.

What is Distance?

Distance is defined as the object traveling at a particular speed in time, from one point to another.

here,
Locate the end point of line in the graph,
end point of the line from the graph is given as (0, 8) and (7, 3)

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂ - y₁]²]

Substitute the point in the above equation,

D = √[[7]² + [3 - 8]²]
D = √49 + 25
D = √74
D = 8.6

Thus, the required measure of the length of the given line is 8.6 units.

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I NEED THIS ASAP! 3(p+2)−7p=18

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the answer should be p= -3

I got -3 as well for the answer!

Solve using the multiplication principle. Don't forget to perform a check.
48=6x
The solution is x=

Answers

x = 8

6 x 8 = 48

hope this helped

48=6x

Divide both sides by 6

X=48÷6

x=8

Help me with number 4...

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It's (A)

(- 382/100) / (27/1000)= -141.481....

The answer is D. When dividing, the divisor has to be a whole number. The power of ten used, you use it for the dividend also. The dividend doesn't have to be a whole number.

Roast beef has 25g of protein and 11g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcuim. How many servings of each are needed to supply exactly 29g of protein and 61 g of calcuim?

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1 serving of Roast beef and 2 servings of mashed potatoes.

can you show me the work to get this answer write two expressions that have a gcf of 8xy

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1) Expression 1: 16x^3 y

2) Expression 2: 24 xy^5

Procedure:

1) find the greatest common factor of the coefficients, 16 and 24:

16 = 2^4

24 = (2^3)*3

=> greatest common factor = 2^3 = 8

2) find the greatest common factor of x^3 y and xy^5

That is the common letters each raised to the lowest power:

=> xy

3) Then, the result is 8xy

Which number does the 6 have a value that is one-tenth the value of 6 in 34,761?

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The number in which the 6 has a value that is one-tenth the value of the 6 in 34,761 is 3,476.1

In the number 34,761, the digit 6 is in the tens place, giving it a value of 60. To find a number where the value of 6 is one-tenth of 60, we look for a place value that is one position to the right.

In 3,476.1, the 6 is in the ones place, making its value 6, which is one-tenth of 60. This shift from the tens place to the ones place decreases the value by a factor of ten.

A firm advertises for workers to address envelopes. Priscilla says she will work 100 hours. Herb will work for 80 hours. If each can address 10,000 envelopes in the time they work, how long would it take them to address 10,000 envelopes if they work together?

Answers

combined work problems
job/time + job/time = job/ total time

(1/80) + (1/100) = 1/T
(10/800) + (8/800) = 1/T
18/800 = 1/T
800/18 = T
44.44 hrs = T

Priscilla and Herb would take approximately 44.44 hours to address 10,000 envelopes together, as Priscilla can address 100 envelopes per hour and Herb can address 125 envelopes per hour.

The question asks about the combined work rate of Priscilla and Herb in addressing 10,000 envelopes. To solve this, we calculate each of their rates of work and then combine them to find the total rate. Priscilla completes 10,000 envelopes in 100 hours, so her rate is 100 envelopes per hour. Herb completes 10,000 envelopes in 80 hours, so his rate is 125 envelopes per hour. Working together, their combined rate is 100 + 125 = 225 envelopes per hour. To address 10,000 envelopes at this rate, we divide 10,000 by 225, which equals approximately 44.44 hours.

52 thousandth scientific Notation

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5.2 x 10^-2 is your answer. I hope this helps love! :)

is c+3/5=15 an identity

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no, becuase c has to be a certain number to equal 15

A like is drawn through (-4,3) and (4,3). which describes whether or not the line is represents a direct variation?

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I believe the answer is D, but I am not certain

the answer would be A.) the line represents a direct variation because of the -4/3 and the 4/3.

Jose bought a bag of 6 oranges for $2.82. He also bought 5 pineapples. He gave the cashier $20 and received $1.43 change. How much did each pineapple cost?

Answers

Your answer is: $3.15 each.

Here are the steps:

First, I added $2.82 and $1.43. Then, I subtracted the sum ($4.25) from $20. Lastly, I divided the difference($15.75) by five because there were five pineapples. Which gave me the answer: $3.15.

Jose bought a bag of [tex]6[/tex] oranges for [tex]\$2.82[/tex] and Jose also bought [tex]5[/tex] pineapples each cost [tex]\$3.15[/tex].

Explanation:

Given: Jose bought a bag of [tex]6[/tex] oranges for [tex]\$2.82[/tex]. He also bought [tex]5[/tex] pineapples. He gave the cashier [tex]\$20[/tex] and received [tex]\$1.43[/tex] change.

Let cost of a pineapple be [tex]x[/tex].

According to the question:

Cost of pineapple is calculated as [tex]20-(2.82+5x)=1.43[/tex]

[tex]20-2.82-5x=1.43\\[/tex]

[tex]5x=17.18-1.43\\[/tex]

[tex]x=\frac{15.75}{5} \\x=3.15[/tex]

Therefore, cost of each pineapple is [tex]\$3.15[/tex].

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16 lbs of brand M cinnamon costing $17/lb was made by combining Indonesian cinnamon which costs $19/lb with Thai cinnamon which costs $11/lb. Find out how much of each type of cinnamon was used to make the Brand M blend. (Need it done algebraically)

Answers

If x=weight in lb of Indonesian cinnamon and y=that of Thai cinnamon
x+y=16 (combined weight), so y=16-x;
19x+11y=16×17 (combined price);
19x+11(16-x)=272;
19x+176-11x=272;
8x=96, so x=12 and y=16-12=4.
12lb of Indonesian cinnamon and 4lb of Thai cinnamon.

Find the distributive property of 24+40

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just add them together

Which formula gives the area of rectangle EFHG? area = d × j area = (e + h) × (f + i) area = (e + h) × j area = (e + h) × (f + c) NextReset

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The formula for the area of a rectangle is A = LW or in this case
Area = d x j

The LA theorem is a special case of the?

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Answer:

The LA theorem is a special case of the AAS theorem and the ASA postulate.

Step-by-step explanation:

The LA theorem is a special case of the AAS theorem and the ASA postulate.

LA(Leg - Acute) theorem states that if the leg and one acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

AAS (Angle Angle Side) states that if two angles and the non included side of one triangle are congruent to two angles and the non included side of another triangle, then these two triangles are congruent.

ASA (Angle Side Angle) postulate states that if two angles and one included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

A machine produces 268 bolts in 28 minutes. At the same rate, how many bolts would be produced in 21 minutes?

Answers

Using simple mathematical operations, we know that 201 bolts are produced in 21 minutes.

What exactly are mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, division (from Left to right), addition, and subtraction (from left to right).

So, the bolts produced in 21 minutes are:

Bolts produce is 28 min: 268In 21 minutes: x

Calculate as follows:

268/28 = x/21 (Cross-multiply)28x = 21(268)28x = 5,628x = 5,628/28x = 201

Therefore, using simple mathematical operations, we know that 201 bolts are produced in 21 minutes.

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Final answer:

To find the number of bolts produced in 21 minutes, set up a proportion using the given information: 268 bolts / 28 minutes = x bolts / 21 minutes. Simplifying, we find that x = 201 bolts.

Explanation:

To find the number of bolts produced in 21 minutes, we can set up a proportion using the given information. We know that the machine produces 268 bolts in 28 minutes. Let x be the number of bolts produced in 21 minutes.

Using the proportion:

268 bolts / 28 minutes = x bolts / 21 minutes

Multiplying both sides by 21, we get:

(268 bolts / 28 minutes) * 21 minutes = x bolts

Simplifying, we find that x = 201 bolts.

Luis can drive 3 times as fast as rico can ride his bike. If it takes rico 4 hours longer than Luis to travel 72 miles, how fast can ricoride his bike

Answers

Let Rico's speed be S
Then Luis' is: 3S
We then get: seventy-two over s equals seventy-two over three s plus four
216=72+12s Multiplying by LCD, 3S
216-72=12s
144 = 12S
S, or Rico's speed would be 144 over 12 or 12mph

(1 over x^2+3x-10)-(6 over x-2)

Answers

[tex]\bf \cfrac{1}{x^2+3x-10}-\cfrac{6}{x-2}\implies \cfrac{1}{(x+5)(x-2)}-\cfrac{6}{x-2}\impliedby \stackrel{LCD}{(x+5)(x-2)} \\\\\\ \cfrac{(x-2)~~-~~(x+5)6}{(x+5)(x-2)}\implies \cfrac{x-2-6x-30}{(x+5)(x-2)}\implies \cfrac{-7x-32}{(x+5)(x-2)}[/tex]

f(x) = square root x - 5 find f^-1

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as you may know, to get the "inverse relation" of any expression, we start off by doing a quick switcharoo on the variables, and then we solve for "y".

[tex]\bf \stackrel{f(x)}{y}=\sqrt{x-5}\qquad \boxed{x}=\sqrt{\boxed{y}-5}\impliedby \textit{let's square both sides} \\\\\\ (x)^2=(\sqrt{y-5})^2\implies x^2=y-5\implies x^2+5=\stackrel{f^{-1}(x)}{y}[/tex]

Part A: Solve A = (x + 23) for x. (4 points) Part B: Determine the value of x when A = 108. (2 points) Part C: Solve -np - 90 > 30 for n. Show your work. (4 points)

Answers

Part A: Solve A = (x + 23) for x.

A = x + 23

=> A - 23 = x + 23 - 23

=> A - 23 = x

=> x = A - 23 <------- answer

Part B: Determine the value of x when A = 108

Replace the value of A in the expression x = A - 23

x = 108 - 23 = 75

x = 75 <------- answer

Part C: Solve -np - 90 > 30 for n.

-np - 90 > 30

=> -np + np - 90 >30 + np

=> - 90 > 30 + np

=> -90 - 30 > 30 - 30 + np

=> -120 > np

=> np < - 120 <----- answer

An insufficient funds check was returned to your company. How does the bank treat this on your bank statement

Answers

a "bounced fund" or "bounced cheque" gets a fine for bank's account holder, so if someone gives you a cheque, you deposit it in your bank's account, and the bank tries to liquidate it and the other bank that's got the funds says, there isn't enough and therefore refuses to send anything, then your bank fines your account for the bouncing.

Depending on the bank could be more or less, in the US is more often than not about $20 or $25 for a bounced cheque.

This is a question I don't quite understand, will someone please help me?

Answers

Problem 1) xy means "x times y". The multiplication symbol is left out because its implied. You can write x*y if you wish. Or we can say "product of two numbers" since a product in math terms is the result of multiplication.
---------------------------------------------
Problem 2) x/y means "x divided by y" which is a fraction
---------------------------------------------
Problem 3)
Writing "x-y" is the same as saying "x minus y"
---------------------------------------------
Problem 4)
x+y is "x plus y", or we can say "the sum of x and y". The "sum" is "result of adding two or more values"
---------------------------------------------
Problem 5)
y-x is "y minus x" or we can say "x subtracted from y"
---------------------------------------------
Problem 6)
y division symbol x is essentially the flip of problem 2. We'd say "y divided by x"
---------------------------------------------
Problem 7)
x+y = 6 is "the sum of two numbers is 6". See problem 4 above.
---------------------------------------------
Problem 8)
xy = 6 is "the product of two numbers is 6". This is an extension of problem 1.
---------------------------------------------
Problem 9)
6x = y is "six times a number equals y" when translated out
---------------------------------------------
Problem 10)
y = x-6 would translate to "six less than a number is y"
where the "a number" portion is represented by x

How many feet are in 84 inches

Answers

all you have to do is 84in/12= 7ft

84in/12= 7ft is the answer...

i hope this helps and have a wonderful day!!

Suppose that block m = .050kg, sometime after reaching the base of the incline, undergoes a completely inelastic collision with the stationary block m = .075kg. use the principle of conservation of linear momentum to determine the common speed of the blocks just after the collision. (carry the answer to one decimal place)

Answers

The common speed of the blocks just after the collision is 0.4 times the initial velocity of the first block (v₁).

To determine the common speed of the blocks just after the completely inelastic collision, we can use the principle of conservation of linear momentum.

According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

Let's denote the velocity of the first block (m = 0.050 kg) before the collision as v₁ and the velocity of the second block (m = 0.075 kg) before the collision as v₂. Since the second block is stationary, its initial velocity, v₂, is 0.

1. Before the collision, the total momentum is given by:

Initial momentum = m₁v₁ + m₂v₂

where m₁ and m₂ are the masses of the first and second blocks, respectively.

Plugging in the values, we have:

Initial momentum = (0.050 kg) v₁ + (0.075 kg) 0

Initial momentum = (0.050 kg)v₁

2. After the collision, the two blocks stick together and move as a single unit with a common velocity, denoted as vf.

The final momentum is given by:

Final momentum = (m₁ + m₂) vf

where (m₁ + m₂) is the total mass of the system.

Plugging in the values, we have:

Final momentum = (0.050 kg + 0.075 kg) × vf

Final momentum = 0.125 kg × vf

According to the principle of conservation of linear momentum, the total momentum before the collision is equal to the total momentum after the collision:

0.050 kg × v₁ = 0.125 kg × vf

To determine the common speed of the blocks just after the collision, we need to solve for vf:

vf = (0.050 kg × v₁) / (0.125 kg)

Calculating the numerical value, vf = 0.4 × v1

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the elementary school lunch menu repeats every 20 days. the middle school lunch menu repeats every 15 days. both schools are serving pizza today. in how many days with both schools serve pizza again?

Answers

60 days

hope it helps

how do you know that the sum of (-2 3/4) and 5/9 is rational?

A.The sum is a terminating and repeating decimal
B.The sum is a non-terminating and a non-repeating decimal.
C.The sum is a fraction
D.The sum is an integer

Answers

Answer:

Step-by-step explanation:

Answer:

The sum is fraction therefore rational

Step-by-step explanation:

Given two numbers

[tex]-2\frac{3}{4}\text{ and }\frac{5}{9}[/tex]

we have to tell that how their sum is rational.

we add the above two number

[tex]-2\frac{3}{4}+\frac{5}{9}[/tex]

[tex]\frac{-11}{4}+\frac{5}{9}[/tex]

[tex]\frac{-99+20}{36}=\frac{-79}{36}=-2.194444...[/tex]

Hence, the sum is we can say fraction or non-terminating but repeating which is the definition of a rational number.

∴ from the given options answer C is correct.

The sum is fraction therefore rational.

A cubic yard of topsoil weighs 4,128 pounds.About how many 50-pound bags can you fill with one cubic yard of topsoil?

Answers

Problem
How many 50-pound bags can you fill with one cubic yard of topsoil?

Result
About 83.

Solution
This is a division problem. So, we're going to divide the weight of one cubic yard of topsoil by 50

4,128 ÷ 50 = 82.56

Rounding to the ones place, we get 83.

Answer:

Approximately 83 bags each carrying 50 pounds of soil will carry 1 cubic yard of soil or 4,128 pounds of soil.

Step-by-step explanation:

We are given the following information in the question:

1 cubic yards is equal to 4128 pounds that is

[tex]1~yard^3 = 4,128~pounds[/tex]

Amount of soil 1 bag can hold = 50 pounds

Number of bags to hold 1 cubic yard of soil or 4,128 pounds of soil:

Formula:

[tex]\text{Number of bags} = \displaystyle\frac{\text{Total amount of soil}}{\text{Amount of soil 1 bag can hold}}[/tex]

[tex]= \displaystyle\frac{4128}{50} = 82.56[/tex]

Thus, approximately 83 bags each carrying 50 pounds of soil will carry 1 cubic yard of soil or 4,128 pounds of soil.

62.4 percent of what number is 17.16

Answers

62.4% of what number is 17.16
0.624x = 17.16
x = 17.16 / 0.624
x = 27.5 <==

how do I get the answer for this

Answers

[tex]\bf \lim\limits_{x\to -\infty}~\cfrac{\sqrt{9x^2+2}}{2x-9}\implies \cfrac{\lim\limits_{x\to -\infty}~\sqrt{9x^2+2}}{\lim\limits_{x\to -\infty}~2x-9}[/tex]

now, for any "x" value, the numerator will give you a positive root, say x = -10, then 9(-10)^2 +2 will be 902, square root of that is about 30.

whilst for the denominator, that'd be 2(-100) -9, or -209.

as you can see, the denominator for any "x" value, has larger jumps then the numerator, and because of that the rational itself, will always have a larger and larger and negative denominator.

so it may go from say -1/100 to -1/1000000 and so on as "x" progresses, going ever closer and closer to 0.

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