4. which of the following is the correct notation for 15-sqr-32
5. which of the following is equivalent to sqr-63

4. Which Of The Following Is The Correct Notation For 15-sqr-325. Which Of The Following Is Equivalent

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

4.

[tex] 15 - \sqrt{-32} = 15 - \sqrt{-1 \times 16 \times 2} = 15 - 4i\sqrt{2} [/tex]

5.

[tex] \sqrt{-63} = \sqrt{-1 \times 9 \times 7} = 3i\sqrt{7} [/tex]

6.

[tex] \sqrt{-100} + 26 = \sqrt{-1 \times 100} + 26 = 10i + 26 = 26 + 10i [/tex]


Related Questions

YEAR 8 ALGEBRA PLS HELP>

Answers

Answer:

Nikki is 16, Travis is 8

Step-by-step explanation:

We need to set up an equation

If x is Nikki's age, then Travis' would x-8 since Nikki is 8 years older.

x+(x-8)=24

2x-8=24

2x=32

x=16

Nikki is 16, Travis is 8

Answer:

the oldest is 16 and the other sibling Travis =8

Step-by-step explanation:

x+y=24

x-y=8  ⇒ x=8+y

solve by substitute

8+y+y=24

2y=24-8

2y=16

y=16/2=8

x=8+y

x=8+8=16

x=16

y=8

3) find different solution
of equation 3x+5=0​

Answers

Answer:

x=3/5

Step-by-step explanation:

3x+5=0

3x=-5

x=-5/3

Answer:

x = 5/3

Step-by-step explanation:

Given equation: 3x-5 = 0

Add both sides by 5, we get

= 3x - 5 + 5 = 0 + 5

= 3x = 5

Divide both sides by 3, we get

3x/3 = 5/3

or, 3x = 5

so, x = 5/3

A model for the basal metabolism rate, in kcal/h, of a young man is given by the formula below, where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man over a 24 hour period

Answers

Answer:

A model for the basal metabolic rate in kcal h of a young man is

A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85 -0.18 cos(πt/12), where t is the time in hours measured from 5:00 AM.

Water flows through a pipe at a rate of 9 gallons every 8 minutes. Express this rate of flow in fluid ounces per hour.

Answers

Answer:

[tex]Rate = 8640 fl\ oz/hour[/tex]

Step-by-step explanation:

Given

Rate: 9 gallon in every 8 minutes

Required

Express in fluid ounces per hour

Express rate as follows;

[tex]Rate = \frac{9\ gallon}{8\ minutes}[/tex]

1 gallon = 128 fluid ounces;

So:

[tex]Rate = \frac{9 * 128 fl\ oz}{8\ minutes}[/tex]

1 minutes = 1/60 hour;

So:

[tex]Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}[/tex]

[tex]Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}[/tex]

[tex]Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour[/tex]

[tex]Rate = 1152* \frac{60}{8}\ fl\ oz/hour[/tex]

[tex]Rate = \frac{1152*60}{8}\ fl\ oz/hour[/tex]

[tex]Rate = \frac{69120}{8}\ fl\ oz/hour[/tex]

[tex]Rate = 8640 fl\ oz/hour[/tex]

Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x + 2)^2 - 64

Answers

Answer:

-10,6

Step-by-step explanation:

f(x) = (x + 2)^2 - 64

Set equal to zero

0 = (x + 2)^2 - 64

Add 64 to each side

64  = (x + 2)^2

Take the square root of each side

±sqrt(64) = sqrt((x + 2)^2 )

±8 = x+2

Subtract 2 from each side

±8-2 = x

-8-2 =x

8-2 = x

-10,6

definition of coordinate pair
solving by graphing
solving by substitution
solving by elimination
slope-intercept form
standard form
term
constant
variables
multiplicative combination
m
b​

Answers

Answer & Step-by-step explanation:

definition of coordinate pair

A system and method is provided for converting an input signal from a sequence of rectangular coordinate pairs to a sequence of polar coordinate pairs.

solving by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system

solving by substitution

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.

solving by elimination

The elimination method of solving systems of equations is also called the addition method. To solve a system of equations by elimination we transform the system such that one variable "cancels out". ... In order to solve for y, take the value for x and substitute it back into either one of the original equations.

slope-intercept form

the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept

standard form

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

term

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Terms are separated by + or − signs, or sometimes by divide.

constant

A fixed value.

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

variables

A symbol for a value we don't know yet. It is usually a letter like x or y.

Example: in x + 2 = 6, x is the variable.

Why "variable" when it may have just one value? In the case of x + 2 = 6 we can solve it to find that x = 4. But in something like y = x + 2 (a linear equation) x can have many values. In general it is much easier to always call it a variable even though in some cases it is a single value.

multiplicative combination

Any of the ways we can combine things, when the order does not matter.

Example: For a fruit salad, how many different combinations of 2 ingredients can you make with apple, banana and cherry?

Answer: {apple, banana}, {apple, cherry} or {banana, cherry}

When the order does matter, such as a secret code, it is a Permutation.

A group of pirates found Treasure worth $540 the pirate the 4 Pirates each get to take the same amount of treasure home for the night. How much treasure did each pirate get to take

Answers

Answer:

$135

Step-by-step explanation:

Armando wrote the expanded notation for 0.356 as shown below. How can you
rewrite his expanded notation using fractions for the place values?

Answers

Answer:

  3×1/10 +5×1/100 +6×1/1000

Step-by-step explanation:

You have not shown Armando's work, but we know there are several ways that expanded form can be written:

  0.356 = 0.3 + 0.05 + 0.006

  = 3×0.1 + 5×0.01 + 6×0.001

  = 3×10^-1 + 5×10^-2 + 6×10^-3

When the place values are expressed as fractions, this is ...

  = 3×1/10 + 5×1/100 + 6×1/1000

MATH ALG II! Need help quick! Will mark brainliest!

Answers

The right answer is D which is the last choice

Answer: D

Step-by-step explanation:

because yes i solved it

Find the sum.
185
+ 66

Answers

So all you need to do in order to find the sum is add so 185+66=251

Answer:

251

Step-by-step explanation:

it’s kinda urgent lol

Answers

Answer:

60m²

Step-by-step explanation:

my dude you need to know this. A=bh. A=10(6).

60m good luck </3 hghjghghhujg

eight hundred and five thousandths decimal

Answers

800.005

I hope this helps
800.005.
After the decimal, it starts at tenths then goes to hundredths and finally would got to thousandths place

express 12/16 in eighths

Answers

Answer:

6/8

Step-by-step explanation:

If we simply 12/16, we need to divide both numerator and demonstrator by 2:

12/2 = 6

16/2 = 8

6/8

Answer:

12/16 = 6/8

Step-by-step explanation:

divide both by 2

23. Eduardo wants to get a grade of 95 in his math
class. His grade will be the average of three test
scores. He got a 91 on the first test and a 89 on
the second test. Write an equation to represent
the situation. What score will he need on the
third test?

Answers

Answer:

            equation:          (91 + 89 + x):3 = 95

            score needed:        x = 105

Step-by-step explanation:

x - the third test score

average of three it's a sum of the three divided by 3:

(91 + 89 + x):3 = 95

                ×3         ×3

    180 + x  = 285

         -180       - 180

            x = 105

Which of the following is closest to
0 on the number line?
A) - | -5.1 |
B) 4.7
C) - | - 0.9 | D) - | 6.7 |

Answers

Answer:

C

Let's simplify the answers. Use absolute value.

| -5.1 | = 5.1 - > |5.1| = 5.1

4.7 - > |4.7| = 4.7

| -0.9 | = 0.9 - > |0.9| = 0.9

- |6.7| = -6.7 - > |-6.7| = 6.7

Now, order each from least to greatest.

0.9, 4.7, 5.1, 6.7

Which one is the smallest? 0.9

So, C is correct.

I'm sorry if I misunderstood.

Please rank Brainliest.

Always try your best and have a good day ;) !

The manufacturer of computers spends $500 to make each computer and sells them for 800. The manufacturer also has fixed costs each month of $5700. Find the cost function C when x computers are manufactured.

Answers

Answer:

C(x) = 5700 + 500x

Step-by-step explanation:

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.

Variable cost are cost that changes with production such as cost of raw material, cost of labor.

From the question:

Fixed cost= $5,700

Cost per unit of computer = $500

If x number of computers are produced in a month

Variable cost = 500x

Total cost = fixed cost + variable cost

C(x) = 5700 + 500x

Where,

C(x) = total cost

5700= fixed cost

500x= variable cost

Answer:

C(x)=500x+5700.

Step-by-step explanation:

he general Cost function formula is given by

C(x)=cost per unit⋅x+fixed costs.

The manufacturer has fixed costs of $5700 no matter how many computers it produces. In addition to the fixed costs, the manufacturer also spends $500 to produce each computer. If we substitute these values into the general cost function, we find that the cost function when x computers are manufactured is given by

C(x)=500x+5700.

while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.On her drawing 2 cm represent 0.5ml. The piers are 12cm apart on tasha's drawing.What is the actual distance, in miles between the two piers?

Answers

Answer:

3ml

Step-by-step explanation:

while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.

Given that On her drawing,

2 cm represent 0.5ml.

The piers are 12cm apart on tasha's drawing.

To calculate the actual distance, in miles between the two piers, first divide the 12cm by 2 cm

12/2 = 6 cm

Multiply the answer by 0.5

6 × 0.5 = 3ml

Therefore, the actual distance, in miles between the two piers is 3ml.

2) You work in the tech field. Your boss has asked that you and your team design a new style phone with a 7" screen display. What are the dimensions of the phone if the aspect ratio is 16:9?

Answers

Answer:

dimensions of the phone are 7 inches x 12.44 inches

Step-by-step explanation:

The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.

That is;

Aspect ratio = height/width

Now, we are given;

Aspect ratio = 16:9 or 16/9

Width = 7" = 177.8 mm

Thus;

16/9 = height/177.8

Multiply both sides by 177.8 to give;

Height = (16 × 177.8)/9

Height = 316.089 mm

Converting 316.089 mm to inches gives us 12.44 inches.

Thus, dimensions of the phone are 7 inches x 12.44 inches

Determine the missing step for solving the quadratic equation by completing the square. 0 = –6x2 + 24x – 5

Answers

Step-by-step explanation:

Check the above photos....

What exactly am I doing wrong with the first one I’m doing the order of operation and I can get the second one no issues I can’t seem to figure out how to do the first one tho

Answers

Answer:

36

Step-by-step explanation:

(4+2)²

4+2=6

6²=36

Answer:

36

Step-by-step explanation:

So we have the expression:

[tex](4+2)^2[/tex]

Order of operations says: 1) Parentheses, 2) Exponents, 3) Multiplication/Division and 4) Addition/Subtraction.

So, add within the parentheses first:

[tex](4+2)^2\\=(6)^2[/tex]

Now square:

[tex]=36[/tex]

So our answer is 36.

Also, note that you apparently used the distribute property. The distribute property does not work with addition and exponents:

[tex](4+2)^2\neq4^2+2^2[/tex]

You cannot do this. This isn't correct. Instead, you must first add and then square.

Combine the like terms to create an equivalent expression: 2s+(-4s)

Answers

Answer:

-2s

Step-by-step explanation:

2s+(-4s)

2s-4s

-2s

Hope this helps ;) ❤❤❤

PLZZZ help asap will give the brain and 100 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1

Answers

hi! i believe that the correct answer would be d, a=2, b=5, c=-1

hope this helped!:)

Answer:

[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2x² + 5 = -x

The quadratic equation is in the form :

ax² + bx + c = 0

Rewriting the equation by adding x to both sides :

2x² + 1x + 5 = 0

The value of a is 2.

The value of b is 1.

The value of c is 5.

[tex]\rule[225]{225}{2}[/tex]

5 + 3x – 2x = 31 – 6 – 5
What is the answer?

Answers

Answer:

x=15

Step-by-step explanation:

i just know its right

a certain oak tree is 12 feet taller than a certain pine tree. if the pine tree is p feet tall, which expression represents the height of the oak tree?

Answers

Answer:

o=p+12

Step-by-step explanation:

height of the oak tree is equal to the height of the pine tree plus 12 feet.

At a sale, dresses were sold for $39 each. If the dresses originally cost $60 each, what percentage of its original price was a dress sold for?

Answers

Answer:

65%

Step-by-step explanation:

We're looking for how big a part of the original price the reduced price is.

This can be done using division.

E.g., if the reduced price was $1, and the original price was $10, we can find how big of a part $1 is of $10 by dividing them.

[tex]\frac{1}{10} = 0.1 = 10\%[/tex]

The reduced price is 10% of the original price. Remember that 0.1 in decimal is 10%, same as how 1.0 is 100%, and 0.3 is 30%.

Let's try this using our dresses. The reduced price was $39, and the original price was $60.

[tex]\frac{39}{60} = 0.65 = 65\%[/tex]

The dresses were sold at 65% of the original price.

Note, this does NOT mean that they were sold at a 65% discount. To find that, we'd have to find out how big the discount was. Then, we'd divide it by the original price.

For example, if the original price was $10, and the reduced price is $9, then the reduced price is 90% of the original price, but it's at a 10% discount.

[tex]\frac{9}{10} = 0.9 = 90\%[/tex]

[tex]10-9=1[/tex]

[tex]\frac{1}{10}=0.1=10\%[/tex]

Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a
brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically
in her wall while remaining below this maximum. So, she constructs the expression 0.6x+0.4 to measure the height of her wall, where all
constants represent measurements in meters. Which of the following statements are true?
Select all that apply.

Answers

Answer:

0.4 represents the height of the base.

0.6 represents the height of each block.

Step-by-step explanation:

In this expression the x is the number of blocks  which is multiplied with the height of the block and added to  the height of the base to get the total height of the wall.

Suppose we have ten blocks so

0.6x+ 0.4 = 0.6(10)+ 0.4= 6+0.4= 6.4

The height of the wall would be 6.4 if there are ten blocks.

The height of the wall depends on the number of blocks used.

The height of the base is constant irrespective of the number of blocks used.

Answer:

0.4 represents the height of the base.

0.6 represents the height of each block.

Step-by-step explanation:

Mr Chong intends to purchase a few chickens, rabbits and ducks for his farm. The total numbers of animal is 50. He has RM1500 to be spent. A chicken costs RM20, A rabbit RM50 and a duck RM30. The number of chickens is equal to the number of ducks. How many of each animals should Mr Chong purchase? Write a system of linear equations to solve this problem.

Answers

Answer:

20 chickens, 10 rabbits and 20 ducks

Step-by-step explanation:

Let chickens be c, rabbits be r, ducks be d

Chicken cost = RM20Rabbit cost = RM50Duck cost = RM30

As per given  we get below equations:

c + r + d = 50c = d20c + 50r + 30d = 1500

Substitute d:

c + r + c= 50 ⇒ 2c + r = 50 20c + 50r + 30c = 1500 ⇒ 50c + 50r = 1500 ⇒ c + r = 30

Subtract the second equation from the first one:

c = 20

Then:

r = 10d = 20

So animals bought:

20 chickens, 10 rabbits and 20 ducks

What is the circumference of a the circle? D = 14 cm
Round your answer to 2 decimal places.

Answers

Answer:

Hey there!

Circumfrence = 3.14d

Circumfrence = 3.14(14), or 43.96

Hope this helps :)

What is the length of line segment AB with endpoints
A(3, 1) and B (0, -3)

Answers

Greetings from Brasil...

The expression that allows you to calculate the distance between two points is:

d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]

Bringing to our problem:

d(A; B) = √[(0 - 3)² + (- 3 - 1)²]

d(A; B) = √[(- 3)² + (- 4)²]

d(A; B) = √[9 + 16]

d(A; B) = √[25]

d(A; B) = 5

Alicia is thinking of a number for her friends to guess. She tells them the number is the least common multiple of 3 and 7. Which number is Alicia thinking of?

Answers

Answer:

21

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...

We see that the first number that is a multiple of both 3 and 7 is 21.

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What are two categories of natural resources? Someone hellpppppnnnnnnnnnnn What is one way you might code-switch when posting a comment to a class discussion? Discuss the ways the Gupta dynasty influenced the development of religion in India. What were some of the results of this influence? answer: During the golden age, major developments were made in the fields of art, literature, science, mathematics, and astronomy. The Guptas encouraged the religion of Hinduism and the construction of temples and religious writings. Mathematicians invented the concept of zero, calculated the value of pi, and created a number system. Paintings and architecture also flourished during the time. All these developments helped shape the culture of India and promoted its growth by educating people. The settling of any net deficit in the combined current, and capital and financial accounts is done with PLZ HELP I will give the brain!! Which of the following statements is true about completing the square? 1. When completing the square, add the square of half the coefficient of x to only the x^2+bx side of the equation. 2. When completing the square, add the square of half the coefficient of x to both sides of the equation. 3. When completing the square, subtract the square of half the coefficient of x from both sides of the equation. 4. When completing the square, add half the coefficient of x to both sides of the equation. URGENT!!! Which option(s) correctly define an electric circuit? (Select all that apply) a set-up where current flows without a voltage difference an open path of conductors a set-up where current flows due to a voltage difference a closed path of conductors 160 is what % of the sum of 100 and 120 and 160 What is the volume of a liquid with a density of 1.5 g/L and a massof 78 grams? I need help starting off on each (3)paragraph. Im not very good at writing stuff like this. Amari is setting up a fenced-in area for his dog. The space is a square with an area of 64 feet squared. How long will one side of the fence be Listed below are several terms and phrases associated with asuumptions, board accounting principles, and coctrains. Pair each item from List A with the item from List B that is most appropriately associated with it. (a) A common denominator is the dollar. (b) All information that could affect decision should be reported. (c) Concerns the relativr size of an item and its effect on decisions. (d) Criteria usually satisfied for products at point of sale. (e) Record expenses in the period the related revenue is recognized. (f) The enterprise is separate from its owners and other entities. (g) The entity will continue indefinitely. (h) The life of an enterprise can be divided into artificial time periods. (i) The original transaction value upon acquisition.1. Expense recognition2. Periodicity3. Historical cost principle4. Materiality5. Revenue recognition6. Going concern assumption7. Monetary unit assumption8. Economic entity assumption9.Full-disclosure principle What country in Asia was mentioned as having the freedom of religion as a right?A. North KoreaB. RussiaC. ChinaD. South Korea How do contemporary issues and culture shape your worldview? Given that A={1,2,3,4,5,6,7,8} and B={2,4,6,8,10} List the elements of i.A N B. ii. A U B. The president of Deal Corporation wrote to Boyd, offering to sell the Deal factory for $300,000. The offer was sent by Deal on June 5 and was received by Boyd on June 9. The offer stated it would remain open until December 20. The offer: please help! Thank you Find the median for Andy's test scores: 76, 84, 93, 67, 82, 87. * Is -4,488/24 positive or negative? Explain in your own words the interaction between the electric and magnetic fields that make up a light wave.