The graph shows the processing speeds of computers as a function of time since 1980.
Which statements are true about the function?
Select each correct answer.
A. The range is y≥16 , so the processing speeds are always positive.
B. The point (0,16) represents an initial processing speed of 16 MHz.
C. The point (10,256) represents the maximum processing speed.
D. The domain is x>0 , so the processing speed increases over time.
E. The graph is ascending, indicating that the processing speed increases over time.
Answers
Answer:
A, B and E are correct.
Step-by-step explanation:
We are given a function representing the processing speed of computers with respect to time.
Let, x-axis = axis corresponding generation and y-axis = axis corresponding the processing speed.
We can see that the the starting point of the function is (0,16). This gives us that the range of the function is y≥16 and (0,16) represents the initial speed of the computer.
So, option A and B are correct.
As, we can see that the function is going upwards after passing the point (10,256). This gives us that, this point does not the represent the maximum processing speed.
So, option C is not correct.
Also, only the domain being x>0 does not imply that the processing speed increases.
So, option D is not correct
Further, as the graph is ascending, so we see that as time increases, the processing speed increases.
So, option E is correct.
Answer:
The correct statements are in bold.
A. The range is y≥16 , so the processing speeds are always positive. (As the initial point is 16 and the graph is going upwards from there hence,the range y≥16 shows positive speed growth. Below this range, the speed will fall.)
B. The point (0,16) represents an initial processing speed of 16 MHz. (This is clearly visible in the graph.)
C. is not right as the graph is going up from 10256.
D. This is also not right. The given domain is not specific of speed.
E. The graph is ascending, indicating that the processing speed increases over time. (We can see as the time increases, the processing speed increases.)
Related Questions
pens cost 20p each and pencils cost 12p each
if I want to buy 6 pens and 5 pencils
what will be the total ?
Answers
5pencils cost=12p×5=60p
total =6pens+5pencils
=120p+60p
=180p
⇒1rupee 80p
i don't know the answer can you help me
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.If no money was deposited into or withdrawn from the account, how much money was in the account after 3 years?Round your answer to the nearest cent.Enter your answer in the box.$
Answers
a radius is a segment that connects any point on the circle to any point inside of that circle
true or false?
Answers
The radius is a line that connects any point on the circle to center. Radius is a constant size line and not line that changes its size therefore it cannot connect any point on circle to any point inside of that circle.
Answer:
If the question is to the center of that circle instead of "any point inside of that circle" then the answer is true.
Step-by-step explanation:
I got it wrong because I didn't read it all but it is true if it is to any point inside of that circle.
At how many points does the graph of the function below intersect the x-axis?
y = 2x2 - 3x + 1
A.2
B.1
C.0
Answers
a= 2 b= -3 c= 1
(-3)^2 -4*2*1
9-8=1
Since the discriminant is a positive real number, there will be two real solutions,
So the graph will cross the x axis in two places. The answer is A
If 7 is added to the square of a postitive integer, the result is 43. Find the positive integer.
Answers
which of the numbers listed below are solutions to the equation?
Check all that apply.
x^2 = 7
A. None of these.
B. square root of 7
C. 49
D. 14
E. negative sqr root of seven
F. -49
Answers
The solution for the given equation is square root of 7. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x²=7.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
For the given equation x²=7, square root on both the sides.
That is, x=±√7
Therefore, the solution of the equation is x=±√7.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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What is 50/100 in its simplest form as a fraction?
Answers
Answer: 1/2
Step-by-step explanation: 1/2 bc 50 and 50 is like 1/2 and 1/2
Hope this helped ya! :}
Edit: js realized this was 7 years ago-
How to graph x>4 on the number line
Answers
The length of a rectangle is 6 yards longer than its width. If the perimeter of the rectangle is 32 yd, find its area in square yards.
Answers
Length = x + 6
Now, perimeter, 2(l+b) = 2(x+6+x)
2(2x+6) = 32
4x + 12 = 32
4x = 20
x = 5 &
x+6 = 5+6 = 11
As rectangle's dimensions are 11*5, it's area would be: 11 * 5 = 55 yards²
So, your final answer is 55 Yd²
Hope this helps!
First, find the width by using the perimeter formula for a rectangle, solve the equation, and then calculate the length by adding 6 yards. With both widths, calculate the area. The rectangle's area is 55 square yards.
Explanation:To solve for the area of the rectangle, we must find its length and width first. The given condition is that the length is 6 yards longer than the width. If we denote the width as w yards, then the length would be w + 6 yards.
Since the perimeter is the sum of all sides, for a rectangle, it can be calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the width. Substituting the given perimeter (32 yd) and the expressions for length and width, we have:
32 yd = 2(w + 6 yd) + 2w32 yd = 2w + 12 yd + 2w32 yd = 4w + 12 yd32 yd - 12 yd = 4w20 yd = 4ww = 5 yd (width)l = w + 6 yd = 5 yd + 6 yd = 11 yd (length)Now that we have both dimensions, the area of the rectangle can be calculated using the formula A = l × w. Substituting the found values:
Area = 11 yd × 5 yd = 55 yd²
Therefore, the area of the rectangle is 55 square yards.
{(3,2), (-6,2), (7,3), (8,4)}
What is the range of this function?
A) {2, 3, 4}
B) {7, 3, 8, 4}
C) {3, -6, 7, 8}
D) {3, 2, -6, 2}
Answers
So ur range is { 2,3,4}...if they repeat more then once, u only have to write them once
Rewrite 11/15 as a decimal number. Round to the nearest thousandth. 1.363 1.364 0.733 0.734
Answers
2280÷60 how to work it out
Answers
2280/60 = 38
hope this helps you
What percent us 28 of 70?
Answers
[tex]\displaystyle\\ \frac{28}{70} ^{(7} = \frac{4}{10} = \frac{40}{100} = \boxed{40\%}[/tex]
In a circle, a 90 degree sector has area of 64pi ftsqd. what is the radius of the circle? ...?
Answers
A = πr2.
r = √(A/π)
radius = 16
Answer:
16
Step-by-step explanation:
A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?
Answers
94.2 cm divided by pi which is 3.14 equals to 30 evenly hoped this helped yall out
The volume of the conical cup is approximately 94.25 cm³. This is the amount of water it can hold when full.
To find the volume of the conical paper cup, we'll use the formula for the volume of a cone:
[tex]\[ V = \frac{1}{3} \times \pi \times r^2 \times h \][/tex]
Where:
- ( V ) is the volume of the cone
- ( pi ) is a constant (approximately 3.14159)
- ( r ) is the radius of the circular base of the cone
- ( h ) is the height of the cone
Given:
- ( r = 3 ) cm (half the diameter)
- ( h = 10 ) cm
Substituting the given values into the formula:
[tex]\[ V = \frac{1}{3} \times \pi \times (3^2) \times 10 \][/tex]
[tex]\[ V = \frac{1}{3} \times \pi \times 9 \times 10 \][/tex]
[tex]\[ V = \frac{1}{3} \times 90\pi \][/tex]
[tex]\[ V = 30\pi \][/tex]
Now, let's calculate the approximate value of [tex]\( \pi \)[/tex] which is 3.14159:
[tex]\[ V \approx 30 \times 3.14159 \][/tex]
V≈94.2477
So, the volume of the conical paper cup is approximately [tex]\( 94.2477 \, \text{cm}^3 \) or \( 94.25 \, \text{cm}^3 \)[/tex] rounded to two decimal places. This is the amount of water the cup can hold when full.
When the nth root of a is written, it is the positive value that is shown
Answers
Choose the correct simplification of the expression (5xy5)2(y3)4.
Answers
Answer:
[tex]25x^{2}y^{22}[/tex] is the answer.
Step-by-step explanation:
The given expression is [tex](5xy^{5})^{2}(y^{3})^{4}[/tex].
Now we have to simplify the expression given in the question.
[tex](5xy^{5})^{2}(y^{3})^{4}=(5)^{2}(x)^{2}(y^{5})^{2}(y^{3})^{4}=25x^{2}y^{10}y^{12}=25x^{2}y^{10+12}=25x^{2}y^{22}[/tex]
Therefore the simplified form of the expression will be [tex]25x^{2}y^{22}[/tex]
round 2.36 to 1 significant figure
Answers
Rounding 2.36 to 1 significant figure results in 2, as the first non-zero digit remains unchanged when the subsequent digit is less than 5.
Explanation:To round 2.36 to 1 significant figure, you look at the first non-zero digit, which is 2. Since the digit following it (3) is less than 5, the number 2 remains unchanged, and any digits after the 3 are dropped. Therefore, the number 2.36 rounded to 1 significant figure is simply 2.
To round 2.36 to 1 significant figure, we look at the digit after the first significant figure. If this digit is less than 5, we round down. If it is 5 or greater, we round up. In this case, the digit after the first significant figure is 6, which is greater than 5, so we round up. The rounded number to 1 significant figure is 2.4.
WILL UPVOTE PLEASE HELP
Question 4:
Ellen wants to purchase a book that is regularly priced at $18. The book is discounted 15%. She also needs to pay a 6% sales tax on the discounted price.
What is the total amount Ellen will pay for the book?
Enter your answer in the box.
Answers
I feel like I am asking so my questions but I dont really care its a Sunday xD
Solve:
-2x - 1 + 3x =7
Answers
Answer: x = 8
−2x − 1 + 3x =7
−2x + −1 + 3x =7
(−2x+3x) + (−1) =7 (Combine Like Terms)
x+ −1 =7
x−1=7
Step 2: Add 1 to both sides.
x−1+1=7+1
x=8
In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has the indicated winning ticket. (Put your answer to three decimal places.)
Three digits in exact order.
Answers
P(second number correct) = 1/10
P(third number correct) = 1/10
P(fourth number correct) = 1/10
P(all four numbers correct) = 1/10 x 1/10 x 1/10 x 1/10
= 1/10000
= 0.0001
Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.)
(1)-(1/6)+(1/36)-(1/216)+... ...?
Answers
1 + (-1/6) + (-1/6)^2 + (-1/6)^3 + ...
Since the magnitude of the common ratio is less than 1. The series is then convergent and it has a sum.
S = a/(1-r) = 1/(1+1/6) = 6/7
I hope my answer has come to your help.
What is the value of x in 5(2x - 7)=15x-10?
Answers
3.1 Pull out like factors :
-5x - 25 = -5 • (x + 5)
4.1 Solve : -5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
4.2 Solve : x+5 = 0
Subtract 5 from both sides of the equation :
x = -5
The value of x in 5(2x - 7)=15x-10 is 5
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the Algebraic expressions with variable in x is given :
5(2x - 7)=15x-10
which is solved using properties of multiplication and solving for value x by arranging variables and constant separately aside:
5(2x - 7)=15x-10
20x - 35 = 15x -10
20x -15x = 35-10
5x = 25
x= 5
Therefore, the value of x in 5(2x - 7)=15x-10 is 5
more on algebraic expression at :
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Joel earns $1,500 per month. If he spends $375 on rent each month, what percent of his income does he spend on rent? A. 20% B. 40% C. 331/3% D. 25%
Answers
the expression 13x+5 represents the number of marbles you have after purchasing 13 bags of marbles. a. what does the term 13x represent b. what does 5 represent c. what does x represent
Answers
b. 5 can represent the initial numbers of marbles one has. For example, even before purchasing 13 bags of marbles you already had 5 marbles from before (they are like 5 extra marbles)
c. x can stand for the number of marbles in each bag
Find the secant of both angle A and angle B.
A. sec A = 13/5; sec B = 13/12
B. sec A = 13/12; sec B = 13/5
C. sec A = 12/13; sec B = 5/13
D. sec A = 24/10; sec B = 10/24
Answers
The secant of angle A is 13/5 and the secant of angle B is 13/12. Option A is correct.
Explanation:To find the secant of angle A and angle B, we need to use the reciprocal function of cosine which is secant. The secant of an angle is equal to the reciprocal of the cosine of that angle.
So, if sec A = 13/5, it means that the cosine of angle A is equal to 5/13. Similarly, if sec B = 13/12, it means that the cosine of angle B is equal to 12/13.
help plz asap the question in the picture
Answers
Suppose that a "code" consists of 4 digits, none of which are repeated. (a digit is one of the 10 numbers 0,1,2,3,4,5,6,7,8,9) how many codes are possible?
Answers
This is permutation without the repetition:
P = n!/(n - r)!
n - the number of choices
r - the number of chosen
We have:
n = 10
r = 4
P = 10!/(10 - 4)!
= 10!/6!
= (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1)
= 10 * 9 * 8 * 7
= 5040
the price of an item has been reduced by 65% . the original price was $41 .
Answers
41 ÷ 2 = 20.5. = 50%
41 ÷ 10 = 4.1 = 10%
4.1 ÷ 2 = 2.05 = 5%.
20.5 + 4.1 + 2.05 = 26.65 = 65%
41 - 26.65 = $14.35 (the answer)
3 times the sum of 1/3 of a number and 8 is 11
Answers
11=(3x+25)
3x=-14
x = -14
3