X = 6{2 + 3[2(7 − 3) + (4 + 1) − 3]}

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: $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

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: 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:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Answer:2 2/9

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

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:

d. 0.0023

Step-by-step explanation:

Calculation for the probability of getting a sample average of 1.8 or less

Using this formula

z score =(X-mean)/Standard errror

Where,

Standard error =Standard deviation/√(n)

Let plug in the formula

P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))

P(Xbar<1.8)=P(Z<-0.4/(2/14.14))

=P(Z<-0.4/0.1414)

=P(Z<-2.83)

Now let find the Z score of P(Z<-2.83) using the z table

P=0.0023

Therefore the probability of getting a sample average of 1.8 or less is:0.0023

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:

150 + 20x ≥ 330

Step-by-step explanation:

"At least" indicates that you should use the greater than or equal to sign. His weekly wage and the bicycle assembly money when added must be at least 330, so 150 and 20x are on the same side. The 20x represents the $20 for each bicycle multiplied by the amount of bicycles he assembled.

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.

The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.

5x+3y=210

The total number of chocolate boxes will be expressed as:-

x + y = 60

Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

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Answer:

the  answer  A .4 (RootIndex 4 StartRoot 4 EndRoot)

Step-by-step explanation:

The product of the radical is [tex]50176\sqrt{7}[/tex]

Data:

To multiply the given radical, we can start by solving

[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7}[/tex]

We should know that multiplying two identical radicals will give just one of the entity.

[tex]\sqrt{x} * \sqrt{x} = x\\x\sqrt{y} * x\sqrt{y}= (x*x)\sqrt{y}=x^2\sqrt{y}[/tex]

Using this system, we can solve the giving problem.

Let's multiply this through and get the final answer.

[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7} = 50176\sqrt{7}[/tex]

The product of the radical is [tex]50176\sqrt{7}[/tex]

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Answer:

No it is too high

Step-by-step explanation:

plz mark brainliest

Answer:

2,3,5,7,11,and 13

Step-by-step explanation:

Hope this helped :))

The sum of the numbers in the 15th row of pascals triangle are  2,3,5,7,11,and 13

Pascal triangles contains coefficient of 's expanded form's terms.

Thus, 1 is the value in the first row of Pascal triangle.

The variable x has coefficient 1, and that 1 itself, so second row of Pascal triangle has 1 , 1 as values.

For nth row, and its rth term(all counted from 0-indexing(that means, counting of index starts from 0), then that term in Pascal triangle is

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

........

The sum of row n is 2^n, thus the row number with a particular sum;

 2^n = sum

 n·log(2) = log(sum)

 n = log(sum)/log(2)

The sum of the numbers in the 15th row of pascals triangle

 2,3,5,7,11,and 13

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Answer:

Pair 1

Step-by-step explanation:

if the shape A rotated 180 degrees it would reach shape B

If the shape A is rotated 180 degrees then it would reach shape B. so the correct option is Pair 1.

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, WE can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

On origin there is No effect as we assumed rotation is being with respect to origin.

Therefore, if the shape A is rotated 180 degrees then it would reach shape B.

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Answer: 96

Step-by-step explanation:

According to the fundamental principle of counting:

Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)

If there is a restriction to choose between appetizer and dessert.

Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) +  (Choices for soups) x (Choices for main courses) x (Choices for desserts)

= 6 x 2 x 4 + 2 x 4 X 6

= 48+48

= 96

Hence, the number of three-course meals are possible= 96

Answer:

96?

Step-by-step explanation:

Answer:

9/10=0.9

9/10=90%

Step-by-step explanation:

Answer:

[tex]\frac{9}{10}[/tex] = 0.9

[tex]\frac{9}{10}[/tex] = 90%

Hope this help!

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:

the dog was born on july 30th so the dog would be 3 months and a week old

Step-by-step explanation:

Answer:

13 1/3

Step-by-step explanation:

10 divided by 3/4 =10 times 4/3 =40 /3 = 13 1/3

sorry don´t really know how to explain my work i just kinda do it .plus it was on my homework .

Answer:

13 1/3

Step-by-step explanation:

Answer:

A, 5:6

Step-by-step explanation: :)

Answer:

YAH IM CONFUSEDDD

Step-by-step explanation:

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:

62

because 14 is twice more than 8

so 24 * 2 = 48

and 48 + 14 = 62

most likely 62

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

Answer:

3x+33

Step-by-step explanation:

This is if you are just looking for an expression.