Answer:
2
Step-by-step explanation:
(6 + square root of -64) - (square root of -16)
6 - 8 + 4
2
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
What is a complex number?A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.
The given expression can be written as,
[6 + √(-64)] [3 - √-16]
= (6 + 8i)(3 - 4i)
= 18 - 24i + 24i - 32i²
= 18 - 32(-1)
= 18 + 32
= 50
Hence, The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.
Learn more about Expression:
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How can you use proper subsets, in your daily life
Answer:
vehicles, food and stationary etc. If we take vehicles in to consideration then in vehicles we have many types i.e, many subset that can be formed from the main set vehicles. The vehicles are classified into few subsets such as car , truck, bus, train, scooter, bike etc..
Step-by-step explanation:
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The equation d = m can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?
Answer:
The equation solved for V is m/d=V
Quadrilateral ARMY is rotated 90° about the origin.
Answer:
what's the question??
the diagonals of a rhombus are in the ratio 3 :4 if the longer diagonals is of 12 cm then find the area of rhombus.
Answer:
Area= 54 cm^2
Step-by-step explanation:
Recall that a rhombus is given by the product of its two diagonals (d1 and d2) divided by 2.
Area = d1 * d2 / 2
So in our case, the longer diagonal is 12 cm long, and the shortest one should be in the ratio 3:4, therefore:
3 /4 = d2 / d1
3 / 4 = d2 / 12
d2 = 3 * 12 /4
d2 = 3 * 3
d2 = 9 cm
Then we can now calculate the Area of the rhombus as;
Area = d1 * d2 / 2 = 12 * 9 / 2 = 54 cm^2
Katherine is a waitress at a restaurant. Each day she works, Katherine will make a
guaranteed wage of $20, however the additional amount that Katherine earns from
tips depends on the number of tables she waits on that day. From past experience,
Katherine noticed that she will get about $7 in tips for each table she waits on. How
much would Katherine expect to earn in a day on which she waits on 11 tables? How
much would Katherine expect to make in a day when waiting on t tables?
Earnings for 11 tables:
Earnings for t tables:
What is the earings for t tables?
Answer:
$97
Step-by-step explanation:
She makes $97 for 11 tables. The equation is 7t+20. Hope this helped :)
plz helpp
Statement 2)
A)Addition property
B) Definition of midpoint
C) Definition of equality
D) Segment addition postulate
Reason 6)
A) Subtraction property
B) Transitive property
C) Property of equality
D) Definition of congruence
Answer:
Addition Property of Equality If AB = CD then AB + BC = BC +CD
Subtraction Property of Equality If AB + BC = BC + CD then AB = CD
Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180
Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90
Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180
Distributive Property AB + AB = 2AB
Reflexive Property m∢B = m∢B
Symmetric Property If AB + BC = AC then AC = AB + BC
Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD
Segment Addition Postulate If C is between B and D, then BC + CD = BD
Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC
Linear Pair Postulate If two angles form a linear pair, then they are supplementary
Definition of Right Angle If ∢B is a right angle then m∢B = 90
Definition of Midpoint If P is the midpoint of segment AB then AP =PB
Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB
Definition of Perpendicular Lines If two lines are ⊥ they form right angles
Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD
Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B
Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD
Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90
Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180
Step-by-step explanation:
Costco sells chicken for $2.25 per pound. What would be the cost of 2 4 5 lb of chicken?
Answer:
551.25$
Step-by-step explanation:
u need to multiply the amount of money per a pound to the amount of pounds u have
7O00 dollars in invested in a bank account at an interest rate of 10 perce per year compounded continunaly. Meanwhile, 28000 dollars invested in a bank account at an intarest rate of 4 percent compounded annually. Detormine graphically (using technology) to the nearest year, after how many years will the two accounts have the same balance.
Answer:
3 years i think
Step-by-step explanation:
A new savings account is opened with $400 and gains 3% every year. What is the
exponential function?
The equation 320=x+7.50(36) represents the cost of ordering potted plants at a second store.
What does the x represent in this situation?
Answer:
I would say it's the amount of potted plants.
Step-by-step explanation:
x is the independent variable and y is the dependent variable. Y counts on x, so total cost counts on the amount of potted plants.
(1/4)^−2−(5^0⋅2)⋅1^−1
Answer:
14.62 I believe
Step-by-step explanation:
What are the steps to substract a negative fraction from a positive decimals
Answer:
Turn the negative fraction into a decimal
Step-by-step explanation:
example:
-1/2=-0.5
Answer:
Subtract the absolute value of the decimal.
Add the negative number to the positive number.
Add the opposite of the negative number to the positive number.
Step-by-step explanation:
hope this helped </3
What is the slope of this line that contains these points: (-4, -6) and (2,6)?
Answer:
The slope is 2
Step-by-step explanation:
y1-y2 . 6--6
--------- ------ =2
x1-x2 . 2--4
Find the volume in cm3 of a length of pipe which has these measurements
Volume of cylinder=TTr2h
TT = 3.14
Answer:
√3.14,-√3.14
Step-by-step explanation:
2p+22q2-p someone help please
Answer:
2p+22q2-p = 22q^2+p
Answer:
22q2+p
Step-by-step explanation:
simplify step-by-step.
2p+22q2−p
=2p+22q2+−p
Combine Like Terms:
=2p+22q2+−p
=(22q2)+(2p+−p)
=22q2+p
Answer:
=22q2+p
6th grade question please help show work
Answer:
A. -6
Step-by-step explanation:
Simplify the given expression.
(6x^4 - 3x^2) + (x^2 - 5)(qx^2 + 5) =
= 6x^4 - 3x^2 + qx^4 + 5x^2 - 5qx^2 - 25
= 6x^4 + qx^4 + 2x^2 - 5qx^2 - 25
= (6 + q)x^4 + (2 - 5q)x^2 - 25
Set ti equal to the given solution.
(6 + q)x^4 + (2 - 5q)x^2 - 25 = 32x^2 - 25
The solution has no 4th degree term, so
6 + q = 0
q = -6
As a check, the solution's x^2 term is 32x^2, so
(2 - 5q)x^2 = 32x^2
2 - 5q = 32
-5q = 30
q = -6
Once again, we get q = -6.
Answer: A. -6
Find the sum.
(n+8)+(n−12)
=
n=2
Reorder terms:
(8+n)+(n-12)=0
Remover first parentheses :
8+n+(n-12)=0
Reorder (again):
8-12+n+n=0
Simplify:
-4+2n=0
Add 4 to both sides:
2n=4
Divide and you’re done!
n=2
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x - 15y = 135
6x -15y = 135
-15y = 135 -6x
y = (135-6x)/-15
y = 2/5x + 9
3. What is the slope of a line perpendicular to the line y =-2/3
x+12
Answer:
Slope of line (i) = 1.5
Step-by-step explanation:
Line (i) is perpendicular to;Line (ii) whose equation is y = [tex]-\frac{2}{3} x + 12[/tex]The slope of line (ii) = [tex]-\frac{2}{3}[/tex]
* Mathematics rule: The product of slopes of two perpendicular lines = -1
∴ The slope of line (i) = -1 ÷ [tex]-\frac{2}{3}[/tex] = 3/2 = 1.5
can you solve this for me please
Answer:
the first one
Step-by-step explanation:
ive done this before
Answer:
Step-by-step explanation:
i got no idea
On a map,1/2 inch represents 50 miles. how many miles per inch are represented on the map? PLEASE HELP! My teacher will kill me!
Answer:
WEll first show the MAP. Then I will help.
Step-by-step explanation:
Answer:
100 miles
Step-by-step explanation:
Half an inch is.. half of an inch. If you want to find out how many miles per inch there are, multiply the amount of miles for every half inch (50) by 2.
THIS IS ALGEBRA 1 PLEASE HELP IM IN MIDDLE SCHOOL
Answer:
1.80 + 3.72 (0.25 x b) = 13.02
Step-by-step explanation:
First, combine the "one-time" costs (the medium pendant and the medium chain)
1.80 + 3.72 = 5.52
Now, multiply the cost of the beads by the amount of beads you want
0.25 x 30 = 7.50
Now combine both costs to get the total cost
5.52 + 7.50 = 13.02
It would cost Tamara $13.02 to make a medium length necklace
I am really confused by this task..please help
Answer:
22
Step-by-step explanation:
Oranges were on sale for $0.45 per pound. Leo bought 12.6 pounds. Which expression shows how to determine the total cost of the oranges?
12.6 times 0.45
12.6 minus 0.45
12.6 + 0.45
12.6 divided by 0.45
Answer:
12.6 times 0.45
price: .45
quantity: 12.6
cost = price x quantity
Answer:
12.6 x 0.45
Since you know how much Is each pound and you want to buy 12.6 pounds. all you have to do is multiply them both.
Round 3,689,423 to the nearest hundred thousand.
Answer:
your answer would be 3,700,000
Step-by-step explanation:
hope it helps
100,699 rounded to the nearest thousand
Answer:
I believe it would be 101,000
Step-by-step explanation:
help me plz i dont get it
Answer:
A
Step-by-step explanation:
my apoligies
Answer:
It should be A because 4 is begin multiplied by a factor of three is every hour
A number line going from negative 10 to positive 10. Point A is at 4, Point b is at 2, Point c is at negative 2, point d is at negative 4.
Which point represents the number 2?
The number 2 is at point
.
Answer: Point B represents the number 2 on the number line.
How?: Well, any whole number (without the minus/negative sign), is equal to a positive number. 2 is a whole number. So, therefore, it's Point B.
For how many different pairs of positive integers (a,b) with greatest common factor 1, and with a>b, does ab=30!
Answer:
4 pairs
Step-by-step explanation:
Given
ab = 30
Where
a > b
Required
Determine number of pairs (a,b)
To do this, we simply test values for a and b that satisfy the required condition.
First,
Take a = 30
Substitute 30 for a in ab = 30
30 * b = 30
b = 30/30
b = 1
The pair is (30,1)
Take a = 15
Substitute 15 for a in ab = 30
15 * b = 30
b = 30/15
b = 2
The pair is (15,2)
Take a = 10
Substitute 10 for a in ab = 30
10 * b = 30
b = 30/10
b = 3
The pair is (10,3)
Take a = 6
Substitute 6 for a in ab = 30
6 * b = 30
b = 30/6
b = 5
The pair is (6,5)
There exist no other pair that satisfy the given condition.
Counting the above pairs, there are just 4 pairs.