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Answer:

x = = -5 ; y = -1 ; z = 4      [tex]\bigg | = 3 \bigg |[/tex]

Step-by-step explanation:

The equation of the plane through (1,-4,0) is,

a(x-1) + b(y+4) + c(z+0) = 0 ....... (1)

Again the plane is perpendicular to the vector (5,1,-4)

So, the direction ratios of the normal to the plane is proportional to the direction ratios of the vector (5,1,-4)

So, a/(5) = b/(1) = c/(-4 )

Let,a/(5) = b/(1) = c/(-4 ) = k

So, a = 5k, b = k and c = -4k

So, from (1) we have,

(5k)(x-1) + (k)(y+4) + (-4k)(z+0) = 0

Thus;

-5(x-1) -(y+4) +4(z+0) = 0

So,

-5x +1 -y-4+4z+0 =0

-5x - y +4z -3 = 0

-5x - y +4z = 3

x = = -5 ; y = -1 ; z = 4      [tex]\bigg | = 3 \bigg |[/tex]

Answer:

one minutes and 12 seconds

Step-by-step explanation:

mark me brainliest.

The area of the sector in circle R is: C. 144Pi units squared

Area of sector = (1/2) × r²θ.

Given the parameters:

Plug in the values

Area of sector = (1/2) × (18²)(8π/9)

Area of sector = 144π units²

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Answer:

119.38

Step-by-step explanation:

Answer:119.3805208 inches

Step-by-step explanation:

Answer:

I think the answer is 2.07

Answer:

Step-by-step explanation:

the sum of 29.178 and 9.65

29.178

+ 9.650

= 38.828

Sum =38.828

Deduct 18.729 from the sum

38.828

-. 18.729

=20.099

So the answer is 20.099

The question is missing parts. Here is the complete question.

Now that you've created your hypotheses, it's time to prove them. First look at the sum of two rational numbers. Let's say they are two rational numbers, x and y. Because they're rational, they can be written as a ratio of integers. Let [tex]x=\frac{a}{b}[/tex] and [tex]y=\frac{c}{d}[/tex], where a, b, c and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c and d is shown in the figure below.

Based on the sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.

Answer: The sum of two rational numbers equals a rational number.

Step-by-step explanation: Rational number is defined as a number that can be made by dividing two integers.

Closure Property of Integers states the sum or subtraction of two integers always gives an integer.

Using the definition of rational and expanding the property, we can conclude that the sum of two rational numbers will result in a rational number, as demonstrated in the table below.

Explanation:

We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.

We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.

You could use the nPr formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.

The 8 violinists can be seated in 40,320 ways.

A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.

Given In the orchestra, there are eight violinists in the front row,

the sitting arrangement of violinists is done with the help of permutation,

ⁿPₓ = n!/(n - x)!

here n = 8 and x = 8

(n - x)! = (8 - 8)!

(n - x)! = = 0! = 1

⁸P₈ = 8!/1

⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1

⁸P₈ = 40,320

Hence they can be seated in 40,320 ways.

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Answer:2 2/9

Step-by-step explanation: 4/3 x 5/3= 20/9= 2 2/9

Answer:

a) 0.00070

b) 0.00050

c) 0.00022

d) 0.00016

e) 0.00005

Step-by-step explanation:

Standard error for proportion formula

S.E = √P(1 - P)/n

Where P = proportion

n = number of samples

Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000

S.E = √P(1 - P)/n

= √0.46 × 0.54/500000

= √ 4.968 ×10^-7

= 0.0007048404

≈ 0.00070

b) 1,000,000

√P(1 - P)/n

= √0.46 × 0.54/1000000

= 0.0004983974

≈ 0.00050

c) 5,000,000

√P(1 - P)/n

= √0.46 × 0.54/5000000

= √ 4.968 ×10^-8

= 0.0002228901

≈ 0.00022

d) 10,000,000

√P(1 - P)/n

= √0.46 × 0.54/10000000

= √2.484 ×10^-8

= 0.0001576071

≈ 0.00016

e) 100,000,000

√P(1 - P)/n

= √0.46 × 0.54/100000000

= √2.484 × 10^-9

= 0.0000498397

= 0.00005

Answer:

9:11

Step-by-step explanation:

9 red marbles to (or ":") 11 yellow marbles

Answer:

9/11

Step-by-step explanation:

because a ratio is a comparison between two numbers by division.

Answer: a) 62.591 lb  b) 7.5

Step-by-step explanation:

Answer:

a) 62.625 lb

b) 8.35

Step-by-step explanation:

a) Use a proportion.

4 gal is to 33.4 lb as 7.5 gal is to x lb.

4/33.4 = 7.5/x

4x = 33.4 * 7.5

4x = 250.5

x = 62.625

Answer: 62.625 lb

b) 33.4/4 = 8.35

Tada!!!!!

Answer:

The value of the greatest integer is -38

Step-by-step explanation:

Let's make

x = the first even integer

x + 2, x + 4, x + 6 are the following even integers.

Recall even numbers are counted every other number.

The sum of all the numbers is -164:

x + x + 2 + x + 4 + x + 6 = -164

Simplifying:

4x + 12 = -164

Subtracting 12:

4x = -164 - 12 = -176

Dividing by 4:

x = -176 / 4 = -44

Thus, the greatest of them all is x + 6 = -44 + 6 = -38

The value of the greatest integer is -38

Answer:

4/9

Step-by-step explanation:

Answer:

1. SSS

2.SSA

3.ASA

Step-by-step explanation:

For number one there is three congruent sides with the on in the middle

For number two there is two sides and one angle congruent

And number three has an embedded side between the two angles

Answer:

A, 5:6

Step-by-step explanation: :)

Answer:

YAH IM CONFUSEDDD

Step-by-step explanation:

Answer: $940.74

Step-by-step explanation: Use the Calculator provided on money chimp or you can look up the formula. I like using the calculator

Answer:

C.

Step-by-step explanation:

Answer:< B = 15°

Step-by-step explanation:

If m\angle A=(x+16)^{\circ}∠A=(x+16)​​ and m\angle B=(3x-14)^{\circ}∠B=(3x−14), then find the measure of \angle A∠A.

Answer:

A The first one

Answer:

A

Step-by-step explanation: 30 minutes is half an hour so 6 miles is half the miles he runs an hour. Azrael runs 12 miles in an hour. 15 minutes is 1/4 of an hour. 2 is 1/4 of the miles Simon runs in an hour. 2 times 4 is 8. I'm really bad at explaining, sorry. the answer is A.

Answer:

heres your answer

Step-by-step explanation:

here you go miss.

Answer:

3 beats per second

Step-by-step explanation:

45÷15

Cat’s heart will beat 3 times per second.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a cat’s heart beats approximately 45 times in 15 seconds. The number of times a Cat's heartbeat in a second will be calculated as:-

15 seconds = 45 beats

1 second  = 45 / 15

1 second = 3 beats

Therefore, Cat’s heart will beat 3 times per second.

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Answer: 13

Step-by-step explanation:

cost for 3 hours: 7+2(3)=13

cost for t hours: 7+2t

Answer:

13

Step-by-step explanation:

Answer:

,$456 paid in her account after 6 year

Answer:

Cost of goods sold = Opening inventory + Purchase - closing inventory

Step-by-step explanation:

Cost of goods sold = Opening inventory + Purchase - closing inventory

Cost of goods sold = Sales - gross profit

Cost of goods sold = Revenue – Net Income – Expenses

Let's solve this question as simply as we can

Step 1:

Add your odd numbers which is one with one

There are many ways in which we can classify numbers, Such as using the terms odd numbers and even numbers and a example of an odd number is one as it can not be divided by 2.

ex. 1 divided by 2 = 0.5

Step 2:

Now after adding our odd number you should turn up with an even number which we know as two.

Even numbers can be divided by 2

ex. 2 divided by 2 = 1

Answer is = 2

Answer:

46

Step-by-step explanation:

it wouldn't change if it was to be rotated

Answer:

3 pounds

Step-by-step explanation:

Find the unit rate by using the equation 50/5 = 10. That means you need 10 pounds of milk to make 1 pound of cheddar cheese. 10 x 3 = 30, so you need to do 1 x 3 = 3.