Find a nonzero vector normal to the plane

Answers

Answer 1

Find a nonzero vector normal to the plane z - 3 (x - 1) = -3 (4 - y).

Related Questions

If a pitcher strikes out 5 batters in 4 innings how many batters is it likely he will strike out in, 9 innings round to the nearest whole number

Answers

[tex]\bf \begin{array}{ccllll} batters&innings\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 5&4\\ x&9 \end{array}\implies \cfrac{5}{x}=\cfrac{4}{9}[/tex]

solve for "x".

Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What is the total amount of material she needs? A. 3 1/2 yards B. 3 2/3 yards C. 4 yards D. 4 3/8 yards Mark for review (Will be highlighted on the review page)

Answers

In order to calculate this, We need to make sure that both measurements have the same denominator, so we need to transform 3/4 into a fraction with denominator of 8

1 3/4 >>> 1 6/8 ( the 6 comes from 8/4 x 3)

The total material that jane need would be:

2 5/8 + 1 6/8

= 3 11/8

= 4 3/8

The answer is option D,

3. Solve z2 – 15z + 56 = 0 using the zero product property. A. z = 8, 7 B. z = –5, –2 C. z = 8, –4 D. z = –4, 7

Answers

We are tasked to solve for the values of z using and applying the zero product property which means that we need to get the factors and equate it to be equal to zero. Such that the given expression z² - 15z + 56 = 0 will have a solution shown below:
z² - 15z + 56 = 0
The expression will have a and b values such as a = - 7 and b = -8.
z² - 15z + 56 = 0
(z -7) (z-8) = 0
solving for the first value of z, we have it:
z - 7 = 0
z = 7
Solving for the second value of z, we have it:
z - 8 = 0
z = 8

Therefore, the answer to this problem is the letter "A" which is 7 and 8.

A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.

Answers

Answer: [tex]250\ m[/tex]

Step-by-step explanation:

Assuming that:

[tex]1\ m=3.3\ ft[/tex]

We can make the conversion from feet per second to meters per second with this procedure:

[tex](165\ \frac{ft}{s})(\frac{1\ m}{3.3\ ft})=50\ \frac{m}{s}[/tex]

Let be "x" the amount of meters the parachutist will fall during 5 seconds of free fall

Knowing that in 1 second the parachutist falls 50 meters, we can calculate "x" by solving the following multiplication:

[tex]x=(50\ \frac{m}{s})(5\ s)\\\\x=250\ m[/tex]

Final answer:

The parachutist's rate of free fall is 165 feet per second, which is equivalent to 50 meters per second. The parachutist will fall approximately 250 meters during 5 seconds of free fall.

Explanation:

To convert the rate of 165 feet per second to meters per second, we need to use the conversion factor of 1 meter equals 3.3 feet. So, the rate in meters per second is 165 feet per second divided by 3.3 feet per meter, which equals 50 meters per second.

To find how many meters the parachutist will fall during 5 seconds of free fall, we can multiply the rate of 50 meters per second by the time of 5 seconds. This gives us 250 meters of free fall during 5 seconds.

From September 1981 to September 1984 the enrollment at a particular school declined to 11%. If the number of students enrolled at that school in September 1984 was 712 what was the enrollment in September 1981?

a) 78 b) 634 c) 701
d) 790 e)800

Answers

634, you have to multiply it by 89% of the original number, 712, to deduct 11%

The assembly department started the month with 17,500 units in its beginning work in process inventory. an additional 288,000 units were transferred in from the prior department during the month to begin processing in the assembly department. there were 29,250 units in the ending work in process inventory of the assembly department. how many units were transferred to the next processing department during the month?

Answers

Units completed and transferred out=beginning work in process+units started or transferred in - ending work in process

Units completed and transferred out=17,500+288,000−29,250
=276,250

What is 6 increased by a number?

Answers

6 increased by a number in algebraic terms would be 6+x.

If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?

Answers

Final answer:

The commutative property allows you to rearrange the factors of a multiplication problem.

Explanation:

The property that allows you to rearrange the factors of a multiplication problem is the commutative property. This property states that the order of the factors can be changed without changing the product. In this case, if cba represents three numbers multiplied together, you can rearrange the factors to read abc because multiplying in any order will give you the same product.

For example, if c = 2, b = 3, and a = 4, then cba = 2 * 3 * 4 = 24. Rearranging the factors to abc gives abc = 4 * 3 * 2 = 24, which is the same product.

Find the measure of the angle and please explain step by step

Answers

angle 4 is the same as angle 8

angle 7 & angle 8 has to equal 180 degree

so angle 7 and angle 4 also have to equal 180

angle 4 is 3 times the size of 7

lets call 7 (x)

so 4(x) = 180

180/4 =45

x=45

angle 7 is 45 degrees

How can you use place value and period names to read and write 324,904 in word form.

Answers

three hundred twenty-four thousand, nine hundred and four

yes you can. you would read that as:
three hundred twenty four thousand, nine hundred four.

no ands were in between the numbers because there are no decimals.
hope this helped, xx

What is the length of a diagonal of a square with a side length of 6?

Answers

By the Pythagorean Theorem:

d^2=x^2+y^2, where x and y are the dimensions of the rectangle, however this is just a square, so x=y=s so

d^2=s^2+s^2

d^2=2s^2, and we are told that s=6 so

d^2=2(6^2)

d^2=2(36)

d=√(2(36))

d=6√2 units

d≈8.49 units (to nearest hundredth of a unit)

d = 8.49

I- - - - - - - - - - - - I
I I
I d I a
I I
I I
I- - - - - - - - - - - - I

Question part points submissions used use a power series to approximate the definite integral, i, to six decimal places. 0.3 ln(1 + x4) dx 0

Answers

[tex]\ln(1+x)=\displaystyle-\sum_{n=1}^\infty\frac{(-x)^n}n[/tex]

[tex]\implies\ln(1+x^4)=\displaystyle-\sum_{n=1}^\infty\frac{(-x^4)^n}n[/tex]

[tex]\displaystyle-\int_0^{0.3}\sum_{n=1}^\infty\frac{(-x^4)^n}n\,\mathrm dx[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}}n\int_0^{0.3}x^{4n}\,\mathrm dx[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}}n\dfrac{x^{4n+1}}{4n+1}\bigg|_0^{0.3}[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}(0.3)^{4n+1}}{n(4n+1)}[/tex]
[tex]\approx0.000485[/tex]

Write the event as a set of outcomes. We flip three coins and obtain more tails than heads.

Answers

We start by listing the outcome of flipping two coins. The first table shows the outcomes HH, HT, TH, and TT. These outcomes then become the input combined with the third coins, as shown in the second table.

We have 8 outcomes in total: HHH, HHT, HHT, TTH, HHT, HTT, TTH, and TTT

The probability that we obtain more tails than heads is 4/8

Simplify 2(f^4)^2 f^3 divided by 6f^9

Answers

((2f^4)^2*f^3)/(6f^9)

pertinent rules of exponents:

(a^b)^c=a^(b*c), (a^b)(a^c)=a^(b+c), and (a^b)/(a^c)=a^(b-c) so

(2f^(4*2)*f^3)/(6f^9)

(2f^8*f^3)/(6f^9)

(2f^(8+3))/(6f^9)

(2f^11)/(6f^9)

(2/6)(f^11/f^9)

(1/3)(f^(11-9)

(1/3)(f^2)

(f^2)/3

Final answer:

The expression 2(f^4)^2 f^3 divided by 6f^9 simplifies to 1/3 f^2, after applying the properties of exponents and dividing coefficients.

Explanation:

To simplify the expression 2(f^4)^2 f^3 divided by 6f^9, we need to use the properties of exponents. First, we simplify (f^4)^2 by multiplying the exponents, which gives us f^8.

Then, we multiply f^8 by f^3 to get f^11. Next, we divide our new expression 2f^11 by 6f^9. This can be done by dividing the coefficients (2 divided by 6) and subtracting the exponents of f (11 minus 9), resulting in f^2 over 3, or 1/3 f^2.

what number is 115% of 73.8?

Answers

To find this, multiply 73.8 by the decimal form of the percent (1.15) to get 84.87

115% of 73.8 is about 84.8

Add (11a + 4b) + (a +4b - 2)

A) 12a + 8b - 2
B) 12a - 2
C) 11a - 2
D) 11a + 8b - 2

Answers

The answer to that question is A.

The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviation of 0.03 inch. if you select a random sample of 9 tennis balls, what is the probability that the sample mean is between 2.62 and 2.64 inches

Answers

Final answer:

The probability that the sample mean diameter is between 2.62 and 2.64 inches is approximately 68.27%, calculated using the Central Limit Theorem to find the standard error and z-scores.

Explanation:

To calculate the probability that the sample mean diameter of the tennis balls is between 2.62 and 2.64 inches, we can use the Central Limit Theorem since we are dealing with a sample of tennis balls rather than just one. The Central Limit Theorem tells us that the sampling distribution of the sample mean will be normally distributed with a mean equal to the population mean (μ) and a standard deviation equal to the population standard deviation (σ) divided by the square root of the sample size (n), which is called the standard error (SE).

Given that the population mean (μ) is 2.63 inches, the population standard deviation (σ) is 0.03 inch, and the sample size (n) is 9, we first calculate the standard error (SE) as follows:

SE = σ / √n = 0.03 / √9 = 0.03 / 3 = 0.01 inch.

Next, we convert the sample mean range (2.62, 2.64) to z-scores, which are measures of how many standard deviations an element is from the mean.

Z for 2.62 = (2.62 - μ) / SE = (2.62 - 2.63) / 0.01 = -0.01 / 0.01 = -1
Z for 2.64 = (2.64 - μ) / SE = (2.64 - 2.63) / 0.01 = 0.01 / 0.01 = 1

Using a standard normal distribution table or calculator, we find the probabilities corresponding to these z-scores. The probability of a z-score being between -1 and 1 is approximately 0.6827 (68.27%).

Therefore, the probability that the sample mean diameter is between 2.62 and 2.64 inches is approximately 68.27%.

The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume of the pool? Use 3.14 for pi .

Answers

volume = pi x r^2 x h

3.14 x 4 x 14^2 = 2461.76 cubic feet

Fixed the typo I had in my answer.

Answer:

So volume of the swimming pool is 2461.76 feet³.

Step-by-step explanation:

The Darnells are having a swimming pool installed.

The pool has a radius of 14 feet and height of 4 feet.

Since pool is in the form of a cylinder so volume of cylinder

= πr²h

= π (14)² × 4

= (3.14) (196) × 4

= 2461.76 cubic feet.

So volume of the swimming pool is 2461.76 feet³.

05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 5 inches and the height is 16 inches. The area of the top of the plate is ____ inches squared

Answers

5×16[tex] \frac{5x16}{2} [/tex]2=the answer

Answer: 40 inches squared

Step-by-step explanation:

1. first, you multiply, do 5*16 what does that give you? (80)

2. then, divide your answer by 2 what do you get? (40)

3. lastly, it should look like this: 5*16=(answer)/2=(answer)

hope this helps

An employer interviews 10 people for 6 technical support positions in a company, and 5 of the 10 people are women. If all 10 are qualified, in how many ways can the employer fill the technical support positions if exactly 3 are women?

Answers

Let the people be {M1, M2, M3, M4, M5, W1, W2, W3, W4, W5}

where M1 is Man 1, W1 woman 1 and so on...

The formula [tex]C(n, r)= \frac{n!}{r!(n-r)!} [/tex], gives the total numbers of ways of creating groups of r out of n.

r! means 1*2*3*...(r-1)*r.

The technical support group is going to have exactly 3 women, which will be chosen from 5 women, and 3 men which will be chosen from 5 men.

Each of the selections can be done in C(5, 3) many ways, and since the any selection of the men and women can be combined, in total there are:

C(5,3) *C(5, 3) many ways of creating the technical support group.

[tex]C(5,3) = \frac{5!}{3!2!}= \frac{5*4*3*2*1}{3*2*1*2*1}=10 [/tex]

10*10=100 many ways of forming the group.

Answer: 100

If Q is directly proportional to P and Q = 28 when P = 4

i) express Q in terms of P
ii) find the value of Q when P=5
iii) calculate the value of P when Q = 42

Answers

Answer:

May be !

i> Q = 7P

ii> when p =5 then from above eqn we can find Q = 7p and = 7×5=35

iii> from eqn i we can write p = Q/7 So when Q=42 then P=Q/7=42/7=6

A triangle has an area of 56 square units its height is 14 units what is the length of its base

Answers

the length of the base is 8
area=56
height= 14
A=1/2 bh
56=1/2 b(14)
56=b(14)/2
8=b

A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. If the cylinder has a radius of length 5 cm and a height of 10 cm, calculate the weight of the oil (in grams) in the can. Round your answer to the nearest tenth. Use 3.14 for pi

Answers

The growth of a new strain of bacteria is represented by 7=79.31(1.48)^x,where x represents the number of days and y represents the number of bacteria. which is the best prediction for the number of bacteria on day 6
A.833B.117C.704D.647

Answer: Weight of the oil is 672.74 grams.

Step-by-step explanation:

Since we have given that

Radius of cylinder = 5 cm

Height of cylinder = 10 cm

Volume of cylinder would be

[tex]\pi r^2h\\\\=3.14\times 5\times 5\times 10\\\\=785\ cm^3[/tex]

Weight of 10W-40 oil = 0.857 grams per cubic cm

So, Weight of the oil in the can would be

Volume × Weight per cm³

[tex]=785.71\times 0.857\\\\=672.74\ grams[/tex]

Hence, Weight of the oil is 672.74 grams.

Fill in the blank. In the triangle below x = ______. Round your answer to two decimal places.

Answers

tan42°=x/35

x=35tan42° units

x≈31.51 units (to nearest hundredth of a unit)

Answer:

[tex]x=31.51\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle

[tex]tan(42\°)=x/35[/tex]

isolate the variable x

[tex]x=35tan(42\°)=31.51\ units[/tex]

How many license plates can be made using 3 digits and 3 letters of repeated digits and letters are not allowed?statistics?

Answers

[tex]10\cdot9\cdot8\cdot26\cdot25\cdot24=11,232,000[/tex]

3x+17-5x=12-(6x+3) can someone help

Answers

3x+17-5x=12-(6x+3)

-2x+17=12-6x-3

-2x+17=9-6x

17=9-4x

8=-4x

x=-2

3x+17-5x=12-(6x+3)
-2x17=12-6x+3
-2x+17=9-6x
2x+6x=9-17
4x=-8
x=-2

A _____ is the composition of a translation and a reflection across a line parallel to the direction of translation. glide reflection tessellation rotation dilation

Answers

A translation followed by a reflection is called a 'glide reflection'

Answer:

Glide reflection

Step-by-step explanation:

A glide reflection is a composition of a translation and a reflection across a line parallel to the direction of translation. A glide reflection requires a translation on a figure, which is then reflected over a line. This is a symmetry operation that requires a translation rule and a line to reflect over. A common example of this are footsteps in the sand.

Can you help me solve this 2/3 (5 x 4) ÷ 3 + 6/7 =

Answers

[tex]\frac{2}{3}(5 *4)/3+\frac{6}{7}\\\\\frac{2*5*4}{3}*\frac{1}{3}+\frac{6}{7}\\\\\frac{2*5*4}{3*3}+\frac{6}{7}\\\\\frac{40}{9}+\frac{6}{7}\\\\\frac{40}{9}*1+\frac{6}{7}*1\\\\\frac{40}{9}(\frac{7}{7})+\frac{6}{7}(\frac{9}{9})\\\\\frac{280}{63}+\frac{54}{63}\\\\\frac{334}{63}=5\ \frac{19}{63}[/tex]

(pemdas)
this is the order you do the math
parenthesis
exponents
multiplication or division which ever is first
Addition or subtraction which ever is first

2/3 (5 x 4) ÷ 3 + 6/7
2/3 (20)÷3+6/7
40/3÷3+6/7
40/9+6/7
find common denominator
280/63+54/63
334/63 or 5.301

A 8.5
B 8.1
C 12.5
D 12.9

Answers

Cosine again. Yay.

Put 36 into a fancy calculator with one of those cos() things. You get about 0.81.

So that's the ratio between x and 10.

So basically x/10 = 0.81, or 0.81 * 10 = x.

8.1 = x

how to write 293,805 in standard and expanded form

Answers

293805 in

1) standard form : 293805

2) expanded form : 200000 + 90000 + 3000 + 800 + 5

Hope it helped!

Other Questions

Herman Melvilles MobyDick is an American classic filled with symbolic meaning. One of the most important symbols in the story is the white whale MobyDick. There are various interpretations of what the whale represents. Based on the following excerpt, what is one interpretation of MobyDick as a symbol in the novel?And now, while both elastic gunwales were springing in and out, as the whale dallied with the doomed craft in this devilish way; and from his body being submerged beneath the boat, he could not be darted at from the bows, for the bows were almost inside of him, as it were; and while the other boats involuntarily paused, as before a quick crisis impossible to withstand, then it was that monomaniac Ahab, furious with this tantalizing vicinity of his foe, which placed him all alive and helpless in the very jaws he hated; frenzied with all this, he seized the long bone with his naked hands, and wildly strove to wrench it from its gripe. As now he thus vainly strove, the jaw slipped from him; the frail gunwales bent in, collapsed, and snapped, as both jaws, like an enormous shears, sliding further aft, bit the craft completely in twain, and locked themselves fast again in the sea, midway between the two floating wrecks. These floated aside, the broken ends drooping, the crew at the stern-wreck clinging to the gunwales, and striving to hold fast to the oars to lash them across.A) the desperation of a trapped animalB) the uncontrollable power of natureC) the difference between mankind and wildlifeD) the conquering impulse of mankind what is the value of x+ 3y + z if x = 3, y = 3, and z = 4 A card is picked from a standard deck of 52 cards. determine the odds against and the odds in favor of selecting a 10 .In the divisions of the geologic time scale, the largest units are eons, which are divided into eras. Eras are then divided into _____.centuriesepochsperiodsmillennia Help plzzzzz!!!!!!!!!! If the CO2 levels in the atmosphere increase, the average temperature on Earth will most likely ? A downward-sloping portion of a long-run average total cost curve is the result of: How many different eras were there in the Zhou dynasty? Voy a cortar el csped __________ no voy a limpiar mi casa porque no tengo mucho tiempo.perocuandosiporque Amy wants to buy a pair of jeans that cost $65. Today the store is offering a straight discount of 25%. Calculate her savings and cost after the discount. When a computer is booted the checks the computer's components? Which statement best explains why in the early days of colonization, Native American tribes did not band together to fight European conquerors and settlers? A point is on a circle if the distance from the center of the circle to the point is equal to the a) area. b)circumference. c)radius. d)diameter. The people pane shows social media information available for any people who were included in the header of a message in the ____ pane. Two sides of a triangle are 6 m and 10 m in length and the angle between them is increasing at a rate of 0.06 rad/s. find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 3 rad. Melvin has game and education apps on his tablet. He noticed that he has 3 game apps for every 2 education apps. Which of the following is another way to write this ratio? Find the solution of this system of equations.Separate the x- and y-values with a comma.x= 12 + y18x 12y= 18 The place where an organism lives and that provides the things the organism needs is called its ___________.(7.ec.5b.1) * habitat species community population 19.You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a 1? Show your work. Elizabeth is a full-time college sophomore and has a demanding part-time job. she leaves her saturdays free to run errands and get things back in order, and to maintain balance. elizabeths behavior illustrates: Steam Workshop Downloader