The formula for electrical power is P, is P= I^2 R, where I is current and R is resistance. The formula for I in terms of. P and R is

Answer:

9

Step-by-step explanation:

Answer:   D.  2550 cm³

Step-by-step explanation:

Volume of one box = Length x width x height

Volume of 6 boxes = 6(L x w x h)

                                = 6(14 x 6 x 5)

                                = 6(14 x 30)

                                = 6(420)

                                = 2520

Answer:

A

Step-by-step explanation:

I'm assuming you already know how to do it and just need an answer.

The difference of the polynomial will be [tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]

Given the polynomial function

[tex](-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)[/tex]

Expand the parenthesis to have:

[tex]-2x^3y^2 + 4x^2y^3 - 3xy^4 - 6x^4y + 5x^2y^3 + y^5)[/tex]

Collect the like terms:

[tex]-2x^3y^2 + 4x^2y^3 + 5x^2y^3- 3xy^4 - 6x^4y + y^5\\-2x^3y^2 + 9x^2y^3 - 3xy^4 - 6x^4y + y^5[/tex]

Rearrange:

[tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]

Hence the difference of the polynomial will be [tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]

Learn more here: https://brainly.com/question/10417192

Answer:

-125

Step-by-step explanation:

The area of the trapezoidal courtyard is 114 square meters.

To find the area of a trapezoid, you can use the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times (\text{sum of the bases}) \times \text{height} \][/tex]

Given:

- Base 1 (b1) = 8 meters

- Base 2 (b2) = 11 meters

- Height (h) = 12 meters

Plugging these values into the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times (8 + 11) \times 12 \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 19 \times 12 \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 228 \][/tex]

[tex]\[ \text{Area} = 114 \][/tex]

So, the area of the courtyard is 114 square meters.

5. you would use whole numbers because points are whole

7.x represents (2) the hours worked per week. this is because it say hourly rate and were estimating the weekly profit

You use whole numbers because the points are whole represents 2) the hours worked per week. this is because it say hourly rate and were estimating the weekly profit

Hope this helped.

Answer:

65

Step-by-step explanation:

First, order the numbers in order. Then find the "middle numbers" and omit them after you have divided the number set into two equals parts. Then find the median of those number sets and then subtract.

You should get 71-6 at the end which is 65.

Answer:

so we use BODMAS

B..bracket

O..oppration

D..division

M..multiplication

A..addition

S..subtraction

so we first simplify the bracket 5.9+3.2=9.10)l8

then ther is no O D M we jump them and add with 1.8

9.1+1.8=10.9

so the answer is 10.9

Answer: Option 'D' is correct.

Step-by-step explanation:

Let the number of adult tickets sold be 'a'.

Let the number of students tickets sold be 's'.

Cost of an adult ticket = $10.00

Cost of a student ticket = $7.50

According to question, it becomes,

[tex]10.00a+7.50s[/tex]

Hence, option 'D' is correct.

The expression that represents the amount of money collected at the door from the ticket sales is $10a + $7.50s

The total amount collected at the door is the sum of the total cost of adult tickets and children tickets

Total cost of adults ticket = cost per ticket x total number of adults tickets sold

$10 x a = $10a

Total cost of children's ticket = cost per ticket x total number of children tickets sold

$7.50 x s = $7.50s

The total amount collected at the door  = $10a + $7.50s

A similar question was solved here: https://brainly.com/question/18977332?referrer=searchResults

Answer:

x = 16

y = 131

Step-by-step explanation:

4x + 2x - 6 = 90

6x = 96

x = 16

16 + 33 + y = 180

49 + y = 180

y = 131

Answer:

A. (2x-3)/2

Step-by-step explanation:

Performing the long division indicated by the perimeter expression, you find ...

perimeter = (2x -3) + (10x +6)/(x^2 +2x)

Comparing this to the formula for the perimeter ...

perimeter = 2W +2L

where L is said to be of the form (ax +b)/(x^2 +2x)

we can match terms in the perimeter expression to see that ...

2W = 2x -3

2L = (10x +6)/(x^2 +2x)

The problem doesn't ask for it, but we can see that (a, b) = (5, 3). We can also see that ...

W = (2x -3)/2 . . . . . . . matches choice A

Answer:

2650

Step-by-step explanation:

Given: 2648

Two significant figures means we need to round off to the nearest tens place.

In 2648, the tens place is 4

To round off the tens place, we need to look for the next digit that is right to tens place, which is 8

8 is greater than 5, so we need to add 1 with tens place (4 +1 = 5)

Therefore, it is 2650

Hope this will helpful.

Thank you.

2648 to two significant figures is 2700

The significant figures of a number are digits that carry meaning contributing to its measurement resolution. This includes all digits except all leading zeros

There are three rules determining how many significant figures are in a number:

For addition and subtraction use the following rules:

For multiplication and division use the following rule:

The given number is 2648

2648 can be written in two significant figures as 2700

2648 has four significant figures such as 2,6,4,8.

The second digit in the given number 2648 is '6'

Because the number 6 is greater than 5, therefore it can be rounded as '7'

Therefore, the number 2648 with four significant figures can be written as 2700 in two significant figures.

So 2700 has only two significant figures: 2 and 7.

Grade:  9

Subject:  mathematics

Chapter:  significant figures

Keywords:   significant figures, figures, numbers, significant, digits, measurement resolution

the ordered pair is a solution to the two equations.

Answer:

hello : (-3,-2) is solution

Step-by-step explanation:

put x = - 3 and y = -2 in this system :

3(-3) - 2 (- 2 ) = - 9 + 4 = - 5 .... right

4( - 3 ) +3(-2) = - 12 - 6 = -18 .....right

(-3,-2) is solution of the linear system:   3x - 2y = -5  

                                                                4x + 3y = -18

Answer:

201 ft²

Step-by-step explanation:

Area of a circle is given by the formula

πr²

Thus area

= 3.142 × 8 × 8

=  201.088

= 201 ft²

Answer:

Option C

201 feet²

Step-by-step explanation:

Given in the question,

diameter of the circular graph = 16 feet

Formula to calculate the area of garden

where π is constant = 3.14

           r is the radius

To find the radius

16/2

8 feet

Plug in values to calculate area

(3.14) 8²

200.96 feet²

Area of the circular garden having 16 feet diameter is 201 (approximate)

Answer:

(-6,17)

Step-by-step explanation:

-2x-y=-5,

 3x+y=-1

Add the two equations together to eliminate t

-2x-y=-5

 3x+y=-1

-------------------

x      = -6

Now that we know x, we can substitute it into one equation to find y

3x+y = 1

3(-6) +y = 1

-18 +y = -1

Add 18 to each side

-18+18 +y = -1+18

y = 17

(-6,17)

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

To find x subtract the sum of the 2 given angles from 180, that is

x = 180° - (32 + 52)° = 180° - 84° = 96°

-------------------------------------------------------

x and y form a straight angle, hence

y = 180 - x = 180° - 96° = 84°

------------------------------------------------------

To find z subtract the sum of the 2 angles from 180

z = 180° - (55 + y)° = 180° - (55 + 84)° = 180° - 139° = 41°

--------------------------------------------------------

x = 96°, y = 84°, z = 41° → A

Answer:

120

Step-by-step explanation:

! means 3*2*1

so 6*1=6*5*4*3*2*1

6=720

720/6=120

factorial of n is given as

n! = n × (n-1) × (n-2)× . . . . . × 1

so lets solve it

6! = 6 × (6-1) × (6-2) × ( 6-3)×(6-4)×(6-5)

= 6×5×4×3×2×1

=720

similarly

3! = 3×2×1 =6

2!= 2×1= 2

3! × 2! = 6×2= 12

Answer: OPTION A

Step-by-step explanation:

Apply the Quadratic formula, which is:

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]a=1\\b=-6\\c=58[/tex]

Then, you must susbtitute these values into the quadratic formula, as shown below:

[tex]x=\frac{-(-6)\±\sqrt{(-6)^2-4(1)(58)}}{2*1}[/tex]

[tex]x=\frac{6\±\sqrt{-196}}{2}[/tex]

Keep on mind that [tex]i=\sqrt{-1}[/tex], then you can rewrite it as following:

[tex]x=\frac{6\±14i}{2}\\\\\\x=\frac{2(3\±7i)}{2}\\\\x=3\±7i\\\\x_1=3+7i\\x_2=3-7i[/tex]

Answer:

A. {[tex]3+7i,3-7i[/tex]}

Step-by-step explanation:

The given equation  is  [tex]x^2-6x+58=0[/tex]

Use the quadratic formula with a=1,b=-6 and c=58

Recall the quadratic formula;

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

We substitute the given values to get;

[tex]x=\frac{--6\pm \sqrt{(-6)^2-4(1)(58)} }{2(1)}[/tex]

[tex]x=\frac{6\pm \sqrt{36-232} }{2}[/tex]

[tex]x=\frac{6\pm \sqrt{-196} }{2}[/tex]

Recall that;

[tex]\sqrt{-1}=i[/tex]

[tex]x=\frac{6\pm 14i}{2}[/tex]

[tex]x=3\pm 7i[/tex]

[tex]x=3+7i[/tex] or [tex]x=3-7i[/tex]

Answer:

1/2, half, 50%

Step-by-step explanation:

Answer:

Step-by-step explanation:

For this problem, point slope form would be the easiest.

Point Slope Form- y-y1 = m(x-x1)

In this case, y1 is 3, x1 is 5, and m would be the slope which is -4.

y-3=-4(x-5)

This is how to write an equation for the problem.

Answer:

[tex]\large{\boxed{y-3=-4(x-5)-\text{point-slope form}}\\\boxed{y=-4x+23}}[/tex]

Step-by-step explanation:

The equation of a line in point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the slope m = -4 and the point (5, 3). Substitute:

[tex]y-3=-4(x-5)[/tex]       use distributive property

[tex]y-3=-4x+(-4)(-5)[/tex]

[tex]y-3=-4x+20[/tex]       add 3 to both sides

[tex]y=-4x+23[/tex]

Answer:

24

Step-by-step explanation:

The area of a parallelogram is A = b*h. The area of a triangle is A = 1/2 b*h. This means if the area of the parallelogram is 48 square meters then the area of the triangle is 24 square meters.

Answer:

24 m^2

Step-by-step explanation:

Answer:

The volume of one shaped-cube block is [tex]\frac{1}{8}\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a cube is equal to

[tex]V=b^{3}[/tex]

where

b is the length side of the cube

step 1

Find the length side of one shaped-cube block

Let

x------> the length side of one shaped-cube block

y-----> the length side of the storage container

[tex]x=y/5[/tex] -----> equation A

we have

[tex]y=2\frac{1}{2}\ ft=\frac{2*2+1}{2}=\frac{5}{2}\ ft[/tex] ---> convert to an improper fraction

substitute in the equation A

[tex]x=(5/2)/5=1/2\ ft[/tex]

step 2

Find the volume of one shaped-cube block

[tex]V=(1/2)^{3}[/tex]

[tex]V=\frac{1}{8}\ ft^{3}[/tex]

Answer:

3(3x-2)

Step-by-step explanation:

this is factoring 3 out of 9x-6

Answer:

7

Step-by-step explanation:

altogether = 17

hannah =10

answer= 17-10

                  7

Answer: =2.35

Step-by-step explanation:

Answer:

Step-by-step explanation:

Originally, there were only five bacterial cells. After one month, the amount of bacteria is doubled with ten bacteria. The growth is represented by the formula:

a42 = 5 x 2^1

After 42 months, the growth can be solved using this formula:

a42 = 5 x 2^42 just so you know my cuz help me shes good in this

Answer:

[tex]N=2.1990232556 \times 10^{13}[/tex]

Step-by-step explanation:

Given : Brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells.

To Find: He wants to know how many there will be after 42 months?

Solution:

Since we are given that initially there were 5 bacterial cells.

Bacteria doubles every month

Let n denotes the number of months .

Function becomes : [tex]N=N_0(2)^n[/tex]

[tex]N_0[/tex] = initial amount

N = amount after n months

So, [tex]N=5(2)^n[/tex]

Substitute n = 42

[tex]N=5(2)^{42}[/tex]

[tex]N=2.1990232556 \times 10^{13}[/tex]

Thus there will be [tex]2.1990232556 \times 10^{13}[/tex] bacteria after 42 months.

Answer:

I know she he or they answered just wanted you to see :)

Step-by-step explanation:

Answer:

I think the answer is C if I'm wrong sorry its been two years since i last learnt this

Step-by-step explanation:

Answer:

P(x < 5) = 0.70

Step-by-step explanation:

Note:  The area under a probability "curve" must be = to 1.

Finding the sub-area representing x < 5 immediately yields the desired probability.

Draw a dashed, vertical line through x = 5.  The resulting area, on the left, is a trapezoid.  The area of a trapezoid is equal to:

 (average length)·(width, which here is:

  2 + 5

----------- · 0.02  =  (7/2)(0.2) =  0.70

      2

Thus, P(x < 5) = 0.70