Mathematics College

Find direction numbers for the line of intersection of the planes x + y + z = 1 and x + z = 0. (enter your answers as a comma-separated list.)

Answers

Answer 1
<1, 1, 1> × <1, 0, 1> = <1, 0, -1>

The cross product of the normals of the planes gives the direction vector of their line of intersection.

Related Questions

What is the order of 5x10^4 , 7x10^-5 , 3x10^-9 , 8x10^4 from least to greatest?

Answers

The numbers given in the problem are written in Scientific Notation. By definitios, this is a product of two factors: the first one is a number between 1 and 10, and the second number is 10. This method is used when you have to write numbers that are too large or too small. So, let's write them in their decimal form to understand it better:

 5x10^4=50000
 7x10^-5=0.00007
 3x10^-9=0.000000003
 8x10^4=80000

 Therefore, the order of 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 from least to greatest is:

 3x10^-9, 7x10^-5, 5x10^4, 8x10^4 

The order from least to greatest of the given numbers 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 is 3x10^-9, 7x10^-5, 5x10^4, and finally 8x10^4. This is determined by comparing the exponents and coefficients of the scientific notation.

To find the order of 5x10^4, 7x10^-5, 3x10^-9, and 8x10^4 from least to greatest, we have to compare their exponents as they determine the size of the numbers. The exponent indicates how many times the number 10 is used in a multiplication.

Here are these numbers in order from the smallest to the largest:

3x10^-97x10^-55x10^48x10^4

The smaller the exponent (more negative), the smaller the number. The first is the smallest because it has the most negative exponent (-9), and the last is the largest with the exponent of 4. When exponents are the same, we then compare the coefficients (the numbers before the 'x10'), in this case, 5 is less than 8, so 5x10^4 is smaller than 8x10^4.

You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 per hour. You want to earn at least $200 a week. If x is the number of hours you work at Burger Palace and y is the number of hours you work at the community center, which graph shows all the ways you can earn at least $200 a week? A. 2003-09-04-00-00_files/i0160000.jpg B. 2003-09-04-00-00_files/i0160001.jpg C. 2003-09-04-00-00_files/i0160002.jpg D. 2003-09-04-00-00_files/i0160003.jpg Please select the best answer from the choices provided A B C D Mark this and return

Answers

the complete question in the attached figure
 we have that
x-------------> number of hours works at Burger Palace -----> $8
y-------------> number of hours works at community center -----> $10

8x+10y>=200

using a graph tool
see the attached figure

the answer is the option B

The dining room table in Logan’s dollhouse is a replica of the dining room table in the actual house . The replica is 4 7/8 in. Long how long is the table in the actual house

Answers

To find the length of the actual table, multiply the replica's length by the scale factor:
4 7/8 x 1/16 = ___ ↓
39/8 x 1/16 = 39/128.

Hope this helps,
♥A.W.E.S.W.A.N.♥

Answer:

6ft 6 in

Step-by-step explanation:

Write a proportion that uses the scale factor 1/16. The numerator corresponds to the dollhouse, and the denominator corresponds to the actual house. So 4 7/8 goes in the numerator, and the variable goes in the denominator.

1/16=478xx=16⋅478x=78

There are 12 in. in a foot, so 78 in. equals 6 ft 6 in.

Alexa's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 20^\circ20
∘
20, degree, and traveled a distance of 3.43.43, point, 4 kilometers before she fell in a straight line perpendicular to the ground.
How far from the skydiving center did Alexa land?

Answers

Answer:

3.19495491 rounded to the nearest hundredth is 3.19

Step-by-step explanation:

The distance from the skydiving center did Alexa land will be 3.19 km. The formula of trigonometry is used in the given problem.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From ΔABC it is obtained that;

[tex]\rm Cos A = \frac{AC}{AB} \\\\ COS 20^0 = \frac{AC}{3.4} \\\\ AC= 0.9694 \times 3.4 \\\\ AC = 3.19 \ km[/tex]

Hence the distance from the skydiving center did Alexa land will be 3.19 km.

To learn more about the trigonometry refer to the link;

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Clark and his brother Kent played floor hockey in their living room. Each goal was worth 2 points. Clark scored 6 points. Kent scored 8 points. How many points did they score all together?

Answers

28 is the answer because multiply 6 times 2 and multiply 8 times 2 you would get 12 and 16 which when u add them it equals 28

B= [2 8 .6 3 ] A= 3 0 2 -1]
what is BA ?

Answers

The product of matrices[tex]\(B\) and \(A\) is \([12 \, 24 \, 4 \, -2]\).[/tex]

To find the product (BA), we multiply each row of (B) by each column of (A) and sum the products.

Let's calculate the elements of the resulting matrix (BA):

  a. First row, first column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  b. First row, second column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  c. First row, third column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  d. First row, fourth column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

Therefore, the first row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]

Similarly, for the second row of (BA):

  a. Second row, first column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  b. Second row, second column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  c. Second row, third column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  d. Second row, fourth column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

Therefore, the second row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]

Hence, the product [tex]\(BA\) is \([12 \, 24 \, 4 \, -2]\).[/tex]

With two dice, each numbered 1-6, there are two possible ways to roll a 3: thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. how many possible ways are there to roll a 4?

Answers

Microstates for a sum of 3 :  (1,2) and (2,1)
Microstates for a sum of 4:  (1,3),(2,2),(3,1)  so three possible microstates.

If a stadium has 15,000 seats sold at $10.00, $12.50, and $15.00 equally distributed in three sections, how much can be made if the stadium sells out?

Answers

Answer:

  $187,500

Step-by-step explanation:

There must be 15,000/3 = 5,000 seats in each section. Then the total revenue can be ...

  5000·$10.00 + 5000·12.50 + 5000·15.00 = 5000·($10 + 12.50 +15.00)

  = 5000·$37.50 = $187,500

Stadium revenue can be $187,500 if all seats are sold.

The total earnings from selling out the stadium with tickets priced at $10.00, $12.50, and $15.00, equally distributed, would amount to $637,500.

The total earnings from selling out the stadium would be $15 x 15,000 = $225,000 for tickets priced at $10.00.

For tickets priced at $12.50, the earnings would be $12.50 x 15,000 = $187,500.

Lastly, for tickets priced at $15.00, the earnings would be $15 x 15,000 = $225,000.

To find the total earnings, add the earnings from each section: $225,000 + $187,500 + $225,000 = $637,500.

What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.

The area of the figure is ? cm2.

A. 102
B. 132
C. 168
D. 340

SOMEONE PLEASE HELP ASAP!!

Answers

First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so [tex]A_{r} =lw[/tex]. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
[tex]A _{r} =(13cm)(6cm)[/tex]
[tex]A=78cm^{2} [/tex]
Similarly, the area of a triangle is one half times base times height, so [tex]At=( \frac{1}{2})bh [/tex]. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
[tex]A_{t} =( \frac{1}{2})(8cm)(6cm) [/tex]
[tex]A_{t} =24cm^{2} [/tex]

Now the only thing left is add our areas:
 [tex]A_{total} =78cm^{2}+24cm^{2} =102cm^{2} [/tex]

We can conclude that the correct answer is A. 102

dividing fractions (pt. 2)

Answers

A) 2/3 / 1/4 = 2/3 x 4/1 = 8/3 = 2 and 2/3

b) 7 / 2/3 = 7/1 x 3/2 = 21/2 = 10 and 1/2
1. 0.167
2. 1.16666666667

an appliance store sells lamps at $ 95.00 for two.a department store sells similar lamps at five for 250.00 which store sells at a better rate? how much is better?

Answers

the appliance store sells sells it at a better rate because if 250$ is for 5 lamps then it's $50 per lamp but if it's $95 than one lamp is $47.50.

Recently in a large random sample of teens a proportion of 0.76 teens said they send text messages to friends. the margin of error for a 98% confidence interval was 0.030. (a) what is the sample statistic for the proportion of teens who send text messages to friends

Answers

The following data has been provided:
p = 0.76
Margin of error at 98% confidence = E = 0.030

The point estimate for proportion of of teens who send the text message = p = 0.76

The interval estimate for the proportion of teens who send the text message will be in the range:
( p - E, p + E)

p - E = 0.76 - 0.030 = 0.730
p + E = 0.76 + 0.030 = 0.790

Thus with 98% confidence we can say, the population proportion of teens who send the text message is between 0.730 and 0.790.
Final answer:

The sample statistic for the proportion of teens who send text messages to friends is 0.76 or 76%. This result was obtained with a 98% confidence interval and a margin of error of 0.03.

Explanation:

The sample statistic in this scenario is the proportion of teens who said they send text messages to friends. In statistics, a sample proportion (also known as a sample percentage) is a way to express the count of observations in a category as a ratio or a fraction of the total sample size.

In your case, the sample statistic is 0.76, meaning that 76% of the teens in your sample said they send text messages to friends. This result was accompanied by a margin of error of 0.030 for your 98% confidence interval.

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

The margin of error represents the range in which we are confident that the true population proportion lies given our sample statistic. With a confidence level of 98%, we are sure that if we repeated our sample many times, 98% of those samples would produce a proportion between 76%- 3% and 76% + 3%.

Learn more about Sample Proportion here:

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A pair of angles can be complementary and supplementary. The answers are sometimes? always? or never true? Justify the answer

Answers

 The complementary angles are those angles whose measures add up to 90 degrees, that is, if two complementary angles are in turn consecutive, the non-common sides of them form a right angle.
 Two angles are supplementary if their sum equals 180 °:
 The supplementary angles are those that added are worth two right angles, that is, 180º.
 answer:
 A pair of angles can be never complementary and supplementary

Write three equations whose graphs are the same line as the equation 3x+2y=7.

Answers

Consider this option:
1. rule: the equation will be the same if the both its parts are multiplied by one number ('0' is not included!).
2. using the rule, described upon:
-3x-2y=-7 (*(-1));
6x+4y=14 (*2);
-6x-4y=-14 (*(-2)).

Note, that not all the ways are described.

Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats.
When writing constraints for the problem, what is the most reasonable definition for the variables x and y?

A) Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used.

B) Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made.

C) Let x represent the number of dog bone treats made and y represents the number of cups of flour used.

D) Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.

Answers

D. Let x represent the number of trays of dog bone treats made and y represent number of trays of oatmeal dog treats made.

Answer with explanation:

Number of cups of peanut that Dana has =10 cups

Number of cups of flour that Dana has =12 cups

Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.

Constraints

⇒x>0, y>0

⇒3 x+y ≤10

⇒2 x+4 y ≤ 12

Maximize(Objective Function):

Z=6 x +7 y

⇒⇒ The most reasonable definition for the variables x and y as Dana wants to maximize her income from selling the dog treats

Option D: Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.

3c-d=t solve for d

I'm confused on this

Answers

d= 3c-t

Hope this helps ;)
To solve for d simplify both sides of the equation then isolate the variable
d=3c-t

Samatha has 24 cards. Chelsea saw 15 more cards than Samatha. How many cards does Chelsea have?

Answers

15 more than 24 is the same as 24 + 15.
24 + 15 = 39
24+15=39   
Chelsea has 39 cards    

identity the pair of numbers that does not belong with the other three. explain.

Answers

3/5 and 5

In the first pair, the only numbers are 9 and 6. Converting 4 into a fraction leaves us with 4/1 - the only numbers in that pair are 1 and 4. In the final one, the only numbers are 2 and 7.
However, converting 5 gives 5/1. What this means is that the top and bottom numbers are not flipped in this pair, making it the odd one out. 

Hope I helped!
3/5 and 5 is the pair that doesn't belong
The other pairs are made of reciprocal numbers .
9/6*6/9=1
4*1/4=4/1*1/4=1
2/7*7/2=1

but 3/5*5/1=3, not 1.

!!!!!30 POINTS!!! HELP ME ON THESE GEOMETRY QUESTIONS PLEASE! PLEASE SHOW WORK AND EXPLAIN

Answers

1. Corresponding angles are equal.
.. a) ∠H = ∠B
Corresponding sides have the same relationship.
.. b) GH/DJ = AB/DC

2. Segments of the same line are proportional, so
.. FG/(47 m) = (73.8 m)/(82 m)
.. FG = (47 m)*(73.8/82) = 42.3 m
The distance between the two campsites is 42.3 m.

3. Corresponding sides are proportional.
.. (x -3)/8 = 2.5/2
.. x -3 = 8*(2.5/2) = 10
.. x = 13

4. Expand the fractions and subtract 1.
.. (x +3)/3 = (y +2)/2
.. x/3 +3/3 = y/2 +2/2
.. x/3 = y/2

5. Solved elsewhere.
https://brainly.com/question/8861591

What is the answer. Do not need to explain.

Answers

Add 5% of what the balance is every year for four years.

5% of $1200 is $60.
5% of $1260 is $63.
5% of $1323 is $66.15.
5% of $1389.15 is $69.45. So the final balance is $1458.45.
1200(.20)=240
1200+240=1440

factor completely y^2-xy-56x^2

Answers

You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1

So [tex] y^{2} - xy - 56x^{2} [/tex] factored out is (y+7x)(y-8x)

We can check this using FOIL
F = (y)(y) = [tex] y^{2} [/tex]
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy 
L = (7x)(-8x) = [tex] -56x^{2} [/tex]
[tex] y^{2} - 8xy + 7xy - 56x^{2} [/tex] Combine like terms
[tex] y^{2} - xy - 56x^{2} [/tex]

Answer: I got (y-8x)(y-7x) by factoring out the factors of 56, that have a sum of -1.

8 and 7 are factors of 56 when you multiply them and to get a sum of -1, 8 should change to negative. 7 + -8 = -1

Can someone verify this for me please!

Answers

It's true, friend. I take similar tests through ARVA (Arkansas Virtual Academy/k12).

What is simplified form of the expression -(4)^-2

Answers

Answer:
-1/16

Explanation:
First, when we have a negative power in the numerator, the number with this power will be moved to the denominator and the power is converted to a positive one.
In other words: a^-x = 1 / a^x

In the question, we have:
-(4)^-2
This can be written as:
- 1 / 4^2 = -1 / (4*4) = -1/16

Hope this helps :)
- (4) ^ - 2
 By properties of exponents we have:
 - (1 / (4) ^ 2)
 Rewriting the expression:
 - (1 / (4 * 4))
 - (1 / (16))
 Answer: 
 simplified form of the expression - (4) ^ - 2 is:
 -1/16

Which property can be used to expand the expression -2(3/4x + 7)?

Answers

distributive property
-2(3/4 x + 7)
-3/2 x - 14 <<<<<------- answer.

Warning. don't go any further.

Answer:

C

Step-by-step explanation:

Right in edge2020

what's the area of a square picture with 16 inch sides

Answers

To find the area of a square picture with 16 inch sides, we must use the formula for the area of a square: A=s^2, where s represents the value of the side length of the square.  

To solve, we must plug in the given side length of 16 inches into the formula.

A = (16 inches)^2
A= 256 inches^2

Therefore, your answer is 256 inches^2.  

Hope this helps!

Answer:

256

Step-by-step explanation:

Find (19 x 10*5) -(5 x 10 *4)

Answers

(19 x10*5) is 950
(5 x 10*4) is 200
soo 950 - 200 = 750

Answer:d


Step-by-step explanation:


The total weight of 15 boxes is 45 pounds .how much would 40 boxes weigh

Answers

40 boxes would weigh would weigh 120 pounds
To answer this, we must first assume that each box weighs the same.  If this is true, you would make a rate of how many pounds in 15 boxes: 45 lbs/15 boxes.  From here determine the weight per box by dividing 45 by 15.  This means each box is 3 pounds.  Multiply this by the total number of boxes (3 x 40).  This gives you a total weight of 120 pounds for 40 boxes.

ILL CHOOSE BRAINLIEST!!!Which region represents the solution to the given system of inequalities?

A
B
C
D

Answers

The answer is D, because that is the place where the lines intersect.

The solution of a set of inequalities is the place where the lines intersect.

Hope I helped!

Let me know if you need anything else!

~ Zoe

Answer :- D region represents the solution to the given system of inequalities.


Explanation:

In the graph we can see the two lines drawn from the given system are intersecting in the fourth quadrant.

⇒The solution of the system lie in the fourth quadrant.

∴region D represents the solution to the given system of inequalities.

The graph of the linear inequality is the graph of all solutions of the system where the solution of the system of inequalities is the intersection region of the solutions of the two inequalities.

A zoo has two male lions 1/6 of the line on male lions how many lions are there at the zoo

Answers

2 is 1/6 of ?
6x2=12
12 lions in total

Which of the following best describes the algebraic expression 5(x+2)-3? A. Three less than five times a number plus two B. Three less than five times the quantity of a number plus two

Answers

A. decribes three less so -3 than a five times number thus -3+5x plus 2 so 5x-1 where x is our number
b. three less again -3 than five times the quantity of a number plus two -3*5(x+2)
which means B best describes our situation

Answer:

Option B is correct.

Three less than five times of a quantity of a number plus two.

Step-by-step explanation:

Given the expression: [tex]5(x+2)-3[/tex]

To describe the given algebraic expression.

Here, x be the number.

x+ 2 means "a number plus 2"

5(x+2) means "five times the quantity of a number plus two".

and

5(x+2)-3 means "Three less than five times of a quantity of a number plus two".

Therefore, the following which best describe the algebraic expression [tex]5(x+2)-3[/tex] is,  Three less than five times of a quantity of a number plus two.


Other Questions
a) You want to buy a new sweatshirt. They normally cost 28.80, but you found one that's on sale for 40% off its normal price. How much will you pay, not including tax?1) $16.182) $17.283) $18.384) $19.48b) If you get 17 out of 20 questions correct on this test, what percentage will you get correct?1) 100%2) 95%3) 90%4) 85% can you please help me thank you you will be given brainley Which is a disadvantage of withdrawing more money than is available in a checking account? Read the following excerpt from the article "Vision, Voice and the Power of Creation: An Author Speaks Out," by T. A. Barron, and answer the question that follows: Another way to tap the power of imagination is through place. My own background as a writer is rooted in nature, having grown up reading Henry David Thoreau, Rachel Carson, and John Muir long before I ever dipped into Madeleine L'Engle, Lloyd Alexander, Ursula Le Guin, E. B. White, or J.R.R. Tolkien. My early writings were really nature journals; at nine, I wrote a complete biographyof a tree. (It was a once-majestic chestnut tree not far from my home.) So it should come as no surprise that I view place as much more than just a setting for a story. It is, in truth, another form of character, no less alive and complex, mysterious and contradictory, than the richest character in human form. The author writes that he "wrote a complete biographyof a tree." What message is implied about the tree with this statement? (10 points) 1)The author couldn't think of any other subject for a biography. 2)The author didn't think a partial biography was enough. 3)The author didn't want to speak for the tree. 4)The author believed the tree had a life story, like a person. FAST HELP!! 30 POINTS!!!what type of solutions do the methods for solving systems of equations find and how does this relate to setting the equations equal to each other The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume of 105 cm 3 is 30 C. What will be the temperature of the gas when it is compressed to a volume of 84 cm 3? 18.8 C 48 C 24 C 37.5 C What type of change does electron have? Complete the sentence to explain when waves interact.Waves interact with _____ and other _______ . HELP ME PLEASE! How is the graph of mc027-1.jpg related to its parent function, mc027-2.jpg? What parts of a nucleotide make up the backbone of a nucleic acid? pairs of nitrogen bases pairs of sugars sugar and nitrogen base sugar and phosphate If the function graphed is f(x), find f(1). A.) -4B.) - 1/4C.) 0D.) 4***Is it C.) 0 ??? in "How to Eat an Ice-Cream Cone," what does the author compare a melting ice cream cone to? The tables below show two functions. For each set of data:a) Determine whether the data represents a linear function, exponential function or neither and explain why.xf(x)-218-122026130234xg(x)-22-1408116232Rubric:PointsConcept Addressed/2Correctly determines whether each table represents linear, exponential or neither/2Correctly explains their answer. Why was geography such a significant factor in the rise of the Italian city-states? Rearrange the formula A = P + Prt for t. The influence of significant others becomes less powerful as we grow older. a. True b. False HELP I DON'T HAVE MUCH TIME PLZ HELP ME IF YOU ARE REALLY GOOD AT SCIENCE COME TO MY QUESTION PLEASEEEE Which fossil fuel creates the least amount of pollution when it is burned? A. bituminous coal B. petroleum C. natural gas D. anthracite Which would melt more ice - a pot of hot water or a tub of warm water? explain your answer? the area of a trapezoid is 72.8 square feet. the length of one of its bases is 7.4 feet and the length of its other base is 10.8 feet. what is the height of the trapezoid? On its own, a certain tow-truck has a maximum acceleration of 3.0 m/s2. what would be the maximum acceleration when this truck was towing a bus of twice its own mass?