Yes, human can distinguish pixels on a same-sized HDTV with 2 times 10 to the 6th power pixels.
What is Scientific Notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
In the scientific form, we write a number in the form of base×10ⁿ.
Where 0 ≤ base < 10 and n can be any rational number.
Given,
Humans can distinguish up to 18,400,000 individual dots called pixels on a typical computer display
We need to check whether human distinguish pixels on a same sized HDTV with 2 x 10 to the 6th power pixels
2×10⁶ pixels.
= 2000000 pixels.
As 2000000 < 18400000
Hence, human can distinguish pixels on a same-sized HDTV with 2 times 10 to the 6th power pixels.
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The following coordinate plane shows three of the vertices of a rectangle. On an 8 by 8 coordinate grid, T is plotted 1 unit right and 4 units up from the origin. P is plotted 6 units right and 2 units up from the origin. Z is plotted 3 units right and 5 units up from the origin. What are the coordinates of Point Z? ( Choose... ) What are the coordinates of Point P? ( Choose... ) Which point has coordinates ( 1 , 4 ) ? Choose... In order to create a rectangle using these points as three of the vertices, what coordinates should be used for the fourth vertex? ( Choose... )
The coordinates of the points of the rectangle are given as follows:
Point Z: (3,5).Point P: (6,2).Point T is the point that has coordinates given by (1,4).The coordinates of the fourth vertex are given as follows:
(4,1).
What are the coordinates?The notation of an ordered pair is given as follows:
(x-coordinate,y-coordinate).
Point T is plotted 1 unit right and 4 units up from the origin, hence the coordinate are:
(1,4).
Point P is is plotted 6 units right and 2 units up from the origin, hence the coordinates are:
(6,2).
Point Z is plotted 3 units right and 5 units up from the origin, hence the coordinates are:
(3,5).
The equivalent sides on a rectangle are congruent, hence the equivalent sides are:
TZ and PM.
Hence the missing coordinate M is obtained as follows:
1 unit down from vertex P, hence y = 2 - 1 = 1.2 units left from vertex P, 6 - 2 = 4.These distances are because these vertical and horizontal distances also are the vertical and horizontal distances from the equivalent side TZ.
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what is 5 to the power of 3?
Answer:
5 to the power of 3 is 125, you get this b/c 5 times 5 is 25 & 25 times 5 is 125.
x + 4y = 22
4x + y = 13
Solve by elimination
Using elimination method, the solution of the equation is as follows:
x = 2y = 5How to solve system of equation by elimination method?System of equation can be solved using different method such as elimination method, substitution method and graphical method.
Therefore, let's use elimination method to solve the equation as follows;
x + 4y = 22
4x + y = 13
multiply equation (i) by 4 to eliminate variable x.
Therefore,
4x + 16y = 88
4x + y = 13
subtract equation(ii) from equation(i)
15y = 75
divide both sides by 15
y = 5
x = 22 - 4y
x = 22 - 4(5)
x = 22 - 20
x = 2
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Use properties of operations to write an expression equivalent to the expression below.
p6+(q+8)
A. p6+8q
B. 8(p6+q)
C. (p6+q)+8
D. 6p+q+8
The expression (p⁶ +q) + 8 is equivalent to the given expression. which is the correct answer would be an option (C).
What is the Commutative Property?The commutative property is associated with mathematical operations such as addition and multiplication. It indicates that switching the order or location of two integers while adding or multiplying them has no effect on the outcome. For example, 4 + 5 gives 9, and 5 + 4 also gives 9.
The expression is given in the question below as
p⁶ + (q + 8)
We have to determine the expression equivalent to the given expression.
As per the given question, we have
⇒ p⁶ + (q + 8)
Using the commutative property of addition, we get
⇒ (p⁶ +q) + 8
Thus, the expression (p⁶ +q) + 8 is equivalent to the given expression.
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Con Beads for Everyone Mrs. Harris wants her nineteen students to each have twenty-four beads to make a bracelet. Mrs. Harris finds beads in bags at the store. There are twelve beads in each bag. How many bags of beads does Mrs. Harris need to buy so she has exactly enough beads for her nineteen students? Each bag of beads costs $0.59. How much will Mrs. Harris spend on the beads? Show all your mathematical thinking.
Answer:
i.She needs 96 bags of beads
ii.She will spend $56.64 on the beads
Step-by-step explanation:
i.19×24=456
12÷456=96
96 bags
ii.96×0.59
=56.64
$56.64
Use the information to complete the task.
A family is driving at a constant speed of 60 miles per hour on the second day of a trip. The expressions 60h + 300 and 60(h+ 5) are equivalent.
They represent the total number of miles the family has driven on the trip, where h is the number of hours they have driven on the second day.
Choose "True" or "False" for each statement.
Statement
The value 5 represents the speed the family drove on the first day.
The value 60 represents the miles the family drove on the first day.
The value 300 represents the miles the family drove on the first day.
True or False?
True False
True False
True
False
A
Answer:
False
False
True
Step-by-step explanation:
Knowing that they are traveling 60 miles per hour, 60h is equivalent to how many miles they are traveling. When adding 300 you know that would be the a1 term going along the rules of sequences.
Therefore 60h is the rate of increase.
300 is the miles traveled on the first day.
With this information in mind we can now answer the True and false statements.
1. 5 represents the hours they drove on the first day, therefore 1 is a false statement.
2. 60 represents the mph they are traveling on the second day, therefore 2 is a false statement.
3. 300 represents the miles they traveled on the first day, therefore 3 is a true statement.
Answer:
false
false
true
the person above is correct :)
You are organizing party invitations. The stamps come in packs of 20. The invitations
come in packs of 15. What is the least number of stamps and invitations you can buy so
you have an even number of stamps and invitations?
Answer:
255
Step-by-step explanation:
You need the least common multiple (LCD) of 15 and 17.
The prime factorizations of 15 and 17 are
3 × 5
17
Since there are no common factors, the LCM is their product.
15 × 17 = 255
Answer: 255
HELP ME. I HATE MATH DUDE.
Convert 5 feet into inches.
*Note: you must use these exact conversion factors to
get this question right.
Answer:
60 inches.
Step-by-step explanation:
There are 12 inches in one foot:
12 x 5 = 60
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 5 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
60 inches
Step-by-step explanation:
(5 feet) = [tex]\frac{12inches}{1foot}[/tex] The word feet can cancel and you are left with
(5)(12 inches) = 60 inches.
Given the graph of f(x) above, find the following and write your answers using interval notation (Separate multiple intervals with a comma):
(a) Domain: 7
(b) Range:
(c) Interval(s) on which f(x) is increasing:
(d) Interval(s) on which f(x) is decreasing:
(e) Interval(s) on which f(x) is constant:
(f) Local maxima: 3
(g) Local minima: -5
Answer:
a) [-9,8)
b) [-5,5]
c) (-4,0), (1,6)
d) [-9,-4), (6,8)
e) [0,1]
f) just the y-value: 5; as a point: (-8,5)
g) just the y-value: -5; as a point: (-4,-5)
Step-by-step explanation:
a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).
b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.
For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.
c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?
d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?
e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?
f) Look for the highest non-infinity point on the graph
g) Look for the lowest non-infinity point on the graph
Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Part A:
Complete the model to represent Sage’s minutes.
Enter the correct answers in the boxes.
Part B
Complete the model to represent Tom’s minutes.
Enter the correct answers in the boxes.
Part C
Write an algebraic expression to represent the number of minutes Sage has left.
Enter the correct answer in the box.
Part D
Write an algebraic expression to represent the number of minutes Tom has left.
Enter the correct answer in the box.
Part E
Do Sage and Tom have the same number of talk minutes left on their cell phone plans? Explain your reasoning.
Select answers from the drop-down lists to correctly complete the explanation.
Part A: We can complete the model representing Sage's minutes by putting n and 7 in the box.
Part B: We can complete the model representing Tom's minutes by putting n and 7 in the box
Part C: An algebraic expression to represent the number of minutes Sage has left is S = n - 7, where S equals the remaining talk minutes for Sage and n is the initial number of talk minutes.
Part D. An algebraic expression to represent the number of minutes Tom has left is T = n - 7, where T equals the remaining talk minutes for Tom and n is the initial number of talk minutes.
Part E: Sage and Tom have the same number of talk minutes left on their cell phone plans because they started with the same amount and consumed the same amount at the end of the month.
What is an algebraic expression?An algebraic expression is a mathematical expression that consists of variables and constants, along with algebraic operations and equality or inequality symbols.
The basic algebraic operations include addition, subtraction, division, and multiplication.
Thus, algebraic expressions can be used to mathematically model or represent the number of minutes that Sage and Tom have left.
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X^2-9/2x+
Find the term to make the trinomial into a perfect square
Question 2 (1 poing
This table shows the total shipping costs for objects of
different weights.
Shipping Costs
$6.00
$3.00
$1.50
O $1.25
Weight of Object
(in pounds)
4
8
12
16
Total Shipping Cost
(in dollars)
5
11
17
23
Based on the information in the table, by how many dollars
does the total shipping cost increase if the weight of an
object increases by 1 pound?
Based on the information in the table, the dollars that the total shipping cost will increase if the weight of an object increases by 1 pound is C. $1.50
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It should be noted that from the information, the table shows the total shipping costs for objects of different weights.
In this case, let the dollar amount be x.
Based on the information, this will be:
4x = 6
Divide
x = 6/4
x = 1.5
In conclusion, the correct option is C.
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Find the equation of this line.
[?]
y =
x + [ ]
Use the distributive properly to rewrite the expression -2[5+(-3)]
Answer:
the answer for the expression -2[5+(-3)] is -4
twelve more than the product of 16 and 3
Answer:
60
Step-by-step explanation:
16(3)+12
=48+12
=60
Answer:
60
Step-by-step explanation:
Find the values of X and Y. State which theorem(s) you used.
Using alternating and corresponding angle theorem, the value of x and y are (8, 146), (86, 94) and (21, 29.5) respectively
Alternate and Corresponding Angle TheoremAlternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent. Corresponding and Alternate angles are the most fundamental angles formed when two parallel lines are intersected by a transversal line.
5)
3x = 5x - 64
Reason: Alternate angles are equal
5x + 3x = 64
8x = 64
x = 8
y + 5x - 6 = 180
Reason: Angles on a straight line are equal to 180
y + 5(8) - 6 = 180
y + 40 - 6 = 180
y + 34 = 180
y = 146
6) x = 86
Reason: Alternating angles are equal to one another
y + 86 = 180
Reason = 94
7) 2y = 59
Reason: Vertical angles are equal
y = 59 / 2
y = 29.5
2y = 3x - 4
Reason: Alternate angles are equal
2(29.5) = 3x - 4
59 = 3x - 4
3x = 59 + 4
3x = 63
x = 21
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A card is chosen at random from a standard
deck. What is the probability that the card is
a spade or a king, given that it is black?
the probability of getting a king or a spade is 30.7%.
What is probability?
Simply put, probability measures how probable something is to occur. The probability formula can be used to calculate the likelihood of an event by simply dividing the favorable number of possibilities by the total number of options. The likelihood of an occurrence might vary from 0 to 1 because the favourable number of outcomes can never be greater than all possible outcomes.
The formula for calculating the probability of an event is
Probability of an event = Favorable outcomes/Total number of outcomes.
Favorable outcomes = 16 {13 spade cards which include one king and the remaining 3 king cards.}
The total number of outcomes = 52.
Probability of choosing a king or a spade= 16/52 = 8/26 = 4/13=0.307
Hence, the probability of getting a king or a spade is 30.7%.
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Francesca is way behind on email. Over winter break, she resolves to deal with 5 emails per
day.
Write an equation that shows the relationship between the number of days Francesca has
been on winter break, x, and the total number of emails she has dealt with, y.
y =
Submit
The equation for the total number of emails Francesca has dealt with is; y = 5x.
Explain the term linear equation?A linear equation is just an algebraic expression of the form y=mx+b, where m represents the slope while b is the y-intercept, while only a constant and the first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equations of two variables."For the stated question-
Five emails are handled by Francesca each day.Assume that Francesca has been away on winter break for 'x' days.Let y represent the overall amount of emails she has handled.Then, the linear equation forms is-
y = 5x
Thus, the equation for the total number of emails Francesca has dealt with is; y = 5x.
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Write and solve the equation that represents the sentence below.
The product of 18 and a number is 109.8 .
Which statements are correct? Select three options.
The linear equation we want to write is:
18*x = 109
And the solution is x = 6.06
How to write and solve the equation?Remember that the product between two numbers is just a multiplication A*B.
Here we know that the product of 18 and a number, is 109.
If we define the variable x as the number, then we can write the linear equation:
18*x = 109
Where the product between 18 and x is equal to the number 109.
Now, we want to find the value of x, to do that, we need to divide both sides of the equation by 18, then we will get:
18*x/18 = 109/18
x = 109/18 = 6.06
The solution of the linear equation is 6.06
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Urgent, please help
I'll mark brainliest
Answer:
Step-by-step explanation:
The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Transformation techniques
Transformation is the process of changing the position of an object on the xy-plane.
Given the parent function
f(x) = 4x
If the function is not reflected over x-axis, the resulting function will be f(x) = -4x
If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;
g(x) = 1/8(-4x)
g(x) = -1/2x
Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
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NEED HELP WITH GEOMETRY ASAP!!!
Answer:
LK = 5
LM ≈ 5.83
KM ≈ 7.28
NOT isosceles
Step-by-step explanation:
L(-7,4)
K(-4,8)
[tex]LK=\sqrt{(-7--4)^{2}+(4-8)^{2}}=\sqrt{(-3)^{2}+(-4)^{2}}=\sqrt{9+16}=\sqrt{25}[/tex]
M(-2,1)
[tex]LM=\sqrt{(-7--2)^{2}+(4-1)^{2}}=\sqrt{(-5)^{2}+(3)^{2}}=\sqrt{25+9}=\sqrt{34}[/tex]
[tex]KM=\sqrt{(-4--2)^{2}+(8-1)^{2}}=\sqrt{(-2)^{2}+(7)^{2}}=\sqrt{4+49}=\sqrt{53}[/tex]
encuentra el producto: (2) (3) (-4) (-2)
ayuda porfa.
Answer:
48
Step-by-step explanation:
Start with 2 x 3 to get 6
then take 6 and multiply by -4 which is -24 (The negative stays from the four)
Last, take -24 and multiply by negative 2 to get 48. The negatives cancel out
Can somebody help me solve
Answer:17.5
Step-by-step explanation: trust me
A saleswoman earns 40% commission on all the merchandise that she sells. Last month she sold $500 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer:
Your answer is $200
Step-by-step explanation:
[tex]500[/tex] × [tex]0.4 = 200[/tex]
10. Solve 0.1(x+8)-0.5x = 0.2(2x - 6) +5.2. Justify each step.
a stick of length 1.75m was measure by a boy as 1.80. find the percentage error in his measurement
Answer:
2 6\7
Step-by-step explanation:
Solution Error in measurement = 1.8-1.75m =+0.05mPercentage error. = error ÷true value ×100 =+ 0.05÷1.75×100 =+ 5÷1.75 = +20÷7 =+ 2 6\7
Tom makes $200 per week working a part-time
job. He pays $300 per month for his share of the
rent where he lives. How much money does he
have left for other expenses in one year?
Answer:
$6000
Step-by-step explanation:
200 dollars a week
spends 300 dollars every month
200 dollars*4 weeks in a month = 800 a month
800 dollars a month - 300 dollars spent every month = 500 remaining after each month
500 dollars a month remaining*12 months in a year = 6000 dollars left for other expenses in one year.
Hope this helps!
Answer:$6000
Step-by-step explanation:
there are 4 weeks in a month and he makes $200 a week so i multiplied it by 4 which equals $800 then i subtracted $300 for the monthly rent then i multiplied that by 12 and that got me to a total of $6000
Which graph represents the function f(x)=3⋅5^x?
Answer:
C (the one under the first graph)
Step-by-step explanation:
if x = 0
3 * 5^0
3 * 1
y = 3
PLS HELP
During a 90-minute school play, the main character was on stage 80% of the time.
What amount of time in minutes was the main character on stage?
88.9 minutes
112.5 minutes
80 minutes
72 minutes
Answer:
72 minutes
Step-by-step explanation:
you convert the 80% to decimal form so its now 0.80.
then you multiply how long the school play was (90) times the 'percentage' of how long the main character was on the stage (0.80).
90 times .80 is 72.
hope this helped:)