Answer:
it is 1024 terabytes or 1 million gigabytes. It is 2 to the 50th power. 3 to the 11th power for this example. 179622.425146 or 3*10^15
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Enter the number that belong in the green box please help
Step-by-step explanation:
Since we have three sides and trying to find an angle, use Law of Cosines
\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)
where c is
Solving for the angle d.
\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)
where d is in degrees
The angle d is the opposite of the side c.
It does not matter what a and b is(they can be either 4 or 5)
let
c=7
a=4
b=5
\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)
This angle must be within 0 and 180
We get
\(d = 101.54\)
What is the value of x? O x = 21 O x = 28 x = 35 O x = 37
The value of the missing variable x is; x = 37
What is the value of the missing angle?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.
Now, from the given problem, we see that we have two parallel lines with a transversal crossing them Thus, we can say that the two given angles are corresponding angles and as such they are congruent. Thus;
3x + 4 = 115
3x = 115 - 4
3x = 111
x = 111/3
x = 37
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Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units
It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.
Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.
The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.
A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).
A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).
A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).
Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).
In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.
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Please help! I dont get how to get the answer
The value of angle x in the triangle is 15°
How to find the value of x in the triangle?Given: the triangle ABC with equal sides of 9 units.
Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).
Thus, <A = <B = < C = 4x°
Since the sum of angles in a triangle is 180°. We have:
<A + <B + < C = 180°
4x + 4x + 4x = 180°
12x = 180
x = 180/12
x = 15°
Therefore, the value of x is 15°
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Select a symbol to compare the numbers.
7/10
0.07
Answer:
7/10>0.07
Step-by-step explanation:
You can turn 7/10 into decimal and its 0.7.
0.7 is greater than 0.07 so you would put a > sign
so the answer is 7/10>0.07
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Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually. What is the annual interest rate?
The annual interest rate for the given compound interset is 6%
What is interest rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Given that, Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually.
A = P(1+r)ⁿ
2560 = 2250(1+r)²
2560 / 2250 = (1+r)²
1.13 = (1+r)²
Taking roots,
1+r = √1.13
r = 0.06
r = 6%
Hence, the annual interest rate for the given compound interset is 6%
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Which reason justifies the second statement in the proof below?
Given: parallelogram L E N S and parallelogram N G T H
Prove: Angle L is congruent to angle T.
A. In a parallelogram, consecutive angles are supplementary.
B. Alternate Interior Angles Theorem
C. In a parallelogram, opposite angles are congruent.
D. Corresponding Angles Postulate
SOMEONE PLEASE HELP!
The reason that justifies the second statement "Angle L is congruent to angle T" is:
In a parallelogram, opposite angles are congruent.
Option C is the correct answer.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Parallelogram LENS and parallelogram NGTH
Now,
Parallelogram LENS:
∠L = ∠N _____(1)
Opposite angles are equal.
Parallelogram NGTH:
∠N = ∠T ______(2)
Opposite angles are equal.
Now,
∠ENS = ∠GNH
Vertical angles are equal.
So,
From (1) and (2).
∠L = ∠T
Angle L is congruent to angle T
Thus,
Angle L is congruent to angle T
[ In a parallelogram, opposite angles are congruent ].
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Sari is factoring the polynomial of \(2x {}^{2} + 5x + 3\)
The other factor is 2x + 3
Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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Chris saved x dollars and spent half of his savings buying video games. After earning an additional $10 cutting grass, he had $32. If the equation one half times x plus 10 equals 32 represents the scenario, how much did he start with in his savings? $11 $21 $44 $84
The amount Chris started with in his savings is $44. option C
EquationAmount Chris saved = $xAmount spent on video games = 1/2xAdditional amount earned = $10Total = $321/2x + 10 = 32
subtract 10 from both sides1/2x = 32 - 10
1/2x = 22
divide both sides by 1/2x = 22 ÷ 1/2
x = 22 × 2/1
x = $44
Therefore, the amount Chris started with in his savings is $44. option C
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Answer:
Step-by-step explanation:
OK for real this is a hard only verified experts can do this!!!!
The numeric value of the exponential expression in this problem is given by the following option:
A. 2^12.
How to obtain the numeric value of the exponential expression?The exponential expression for this problem is defined as follows:
8^x/2^y.
8 is the third power of 2, hence:
8 = 2^3.
When a term is elevated to two of it's powers, the powers are multiplied, hence:
(2^3)^x = 2^(3x).
Meaning that the exponential expression is then written as follows:
8^x/2^y = 2^(3x)/2^y.
When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:
2^(3x)/2^y = 2^(3x - y).
As stated in the problem, the numeric value of the expression 3x - y is given as follows:
3x - y = 12.
Hence the entire expression is simplified as follows:
2^(3x - y) = 2^12.
Meaning that the correct option is given by option A.
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Answer:A. 2^12.
Step-by-step explanation:i did it and got it right
Absolute value functions have vertical line
symmetry.
_______
True
or
False
Answer:
True
Step-by-step explanation:
please anyone know about semiconductor?? i need help to paraphrase this paragraph help !!!!
Answer:
ND>MA n type in both 300k and 700k as ND and NA are not affected by rempredure, only NI is affected and it increases the electron and helps with the sane value so always electrons will be greater than holes at T= 300k Ni = 10 10 cm 3
Given that A={1,2,3,4,5} list the elements of the following sets. i.{x2:x€A} ii.{ :x€A} iii.{2x :x€A} iv.{4x+1:x€A}
Answer:no idea
Step-by-step explanation:
(PLS HURRY I'LL MARK BRAINLIEST)
Which of the following is a point on the line defined by the parametric equations below?
{x(t)=6ty(t)=3t−2
Group of answer choices
(0,−4)
(6,1)
(2,12)
(6,36)
Answer:
Answer: (0, -4) and (6, 1)
• x(t) = 6t --- equation (a)
• y(t) = 3t - 2 --- equation (b)
→ From equation (a), make t the subject:
\(→ \: { \tt{x(t) = 6t }} \\ \\ → \: { \tt{t = \frac{x(t)}{6} }}\)
• substitute for t in equation (b)
\(→ \: { \tt{y(t) = 3(\frac{x(t)}{6}) - 2 }} \\ \\ → \: { \tt{y(t) = \frac{x(t)}{2} - 2 }}\)
• Assume t is 1:
\(→ \: { \tt{y = \frac{x}{2} - 2}} \\ \\ → \: { \boxed{ \tt{2y = x - 4}}}\)
• when x is zero, y is -4
\(→ \: { \tt{2y = 0 - 4 = - 4}} \\ \)
• when x is 6, y is 1
\(→ \: { \tt{2y = 6 - 4 = 2 }} \\ { \tt{y = 1}}\)
Suppose that you have 4 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.
The probability that two cards will be drawn at random, without replacement, is 13/18.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.
According to our answer-
P(at least 1 green) = 1 - P(no green)
P(no green) = draw yellow on both draws
= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)
= 5/9 * 4/8 = 20/72 = 5/18
P(at least 1 green) = 1 - 5/18
= 13/18
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I’m stuck on this question. Help please
Answer:
Salt: 1, 2, 4
Pepper: 1/2, 1, 2
Garlic Powder: 1/4, 1/2, 1
Onion Powder: 1/4, 1/2, 1
Step-by-step explanation:
The batches are doubling each time.
How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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An experiment was conducted by having a group of children solve a puzzle. It was found that of those who had solved the puzzle on a given trial, 40% could solve it on the next trial. And of those who couldn't solve the puzzle on a given trial, 10% could solve it on the next trail. At the present time, 80% of the children solved the puzzle on the current trial, but 20% did not. Assume that this process can be modeled as a Markov process.
Write the transition matrix. Label the columns and rows, using S for "able to solve" and NS for "not able to solve.
Write the initial distribution matrix.
What percent of the children will be able to solve the puzzle on the next trial (trial 1)?
What percent of the children will be able to solve the puzzle on trial 2?
After many trials, what percent of the children will fail to solve the puzzle on each trial?
Answer:
I hope this helps!
Step-by-step explanation:
Please mark brainiest
Which equation is represented by the graph below?
On a coordinate plane, a curve approaches the y-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 1).
y = l n x
y = l n x + 1
y = e Superscript x
y = e Superscript x Baseline + 1
Answer:
C
Step-by-step explanation:
By analyzing the graph and the y-intercept, we can conclude that the graphed function is:
f(x) = e^x
How to identify the graphed function?
In the graph, we can see an exponential growth, such that it intercepts the y-axis at x = 1.
Remember that exponential growth is slow at the beginning and faster as x grows, while a logarithmic increase is fast at the beginning and then becomes slower. That is why we know this is an exponential growth.
Now, notice that when x = 0 we can see that the function intercepts the y-axis at y = 1, then we can conclude that this is just the exponential function, because:
f(0) = e^0 = 1
So we can conclude that the function is e^x.
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the following is a summary of the violent crime rate violent crimes per 100,000 population we're all states of a country in a certain year complete parts a through D
Answer:
yes indeed it is
Step-by-step explanation:
pls help me in this question it is really needed
Answer:
6 1/8 ×10 2/7= 60
60÷2 1/3= 30
The answer:
30
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Question 3 of 28
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The accompanying table contains the individual demand schedules of dark chocolate for Vanessa and Angela. Assuming
they are the only people in the market for dark chocolate, place each of their individual demand curves and the market
demand curve at the correct locations on the accompanying graph.
Price of dark
Pounds of dark chocolate Pounds of dark chocolate
chocolate
demanded by Vanessa
demanded by Angela
(per pound)
$8
1
3
%
IMG 90
00%
$1
3
5
orrect
0%
Market for Dark Chocolate
10
0%
Vanessa
Angela
Market
9
0%
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A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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A ship’s guidance system measures that the ship is 380 m from the top of a lighthouse. The top of the lighthouse is 88 m above sea level.
How far is the ship from the lighthouse to the nearest tenth of a meter?
If the ship is travelling at 12 km/h when it is spotted, how much time does it have to turn away from the shore to avoid a collision? Show your work and explain your thinking.
Using pythagorean theorem distance of ship from lighthouse is 369.7 m and the ship has 111 seconds to avoid collision.
What exactly is the Pythagorean Theorem?
The Pythagorean Theorem is a mathematical idea that describes the connection between the sides of a right-angled triangle. A right triangle's sides are also known as Pythagorean triples. The formula and proof of this theorem are explored with examples here.
The Pythagorean theorem is used to compute the length and angle of a triangle with an unknown side. This theorem allows us to derive the base, perpendicular, and hypotenuse equations.
The Pythagorean Theorem formula is given in the definition as follows:
Hypotenuse² = Perpendicular² + Base².
c² = a² + b²
Now,
Given that height of lighthouse=88m
distance between top of lighthouse and ship=380m
then, distance between ship and light house=√380²-88²
=√144400-774
=√136656
=369.7m
and With speed 12 km/h or 12*5/18=3.33 m/s
to avoid collision ship will take =369.7/3/33=111 seconds
Hence,
Distance of ship from lighthouse is 369.7 m and the ship has 111 seconds to avoid collision.
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Researchers studied the mean egg length (in millimeters) for a particular bird population. After a random sample of eggs, they obtained a 95% confidence interval of (45,60) in millimeters. In the context of the problem, which of the following interpretations is correct, if any?
A. We are 95% sure that an egg will be between 45 mm and 60 mm in length.
B. For this particular bird population, 95% of all birds have eggs between 45 mm and 60 mm.
C. We are 95% confident that the mean length of eggs for this particular bird population is between 45 mm and 60 mm.
D. We are 95% confident that the mean length of eggs in the sample is between 45 mm and 60 mm.
E. None of the above is a correct interpretation.
Answer:
C. We are 95% confident that the mean length of eggs for this particular bird population is between 45 mm and 60 mm.
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
For 95% confidence interval, it means that we are 95% confident that the mean of the population is between the given upper and lower bounds of the confidence interval.
For the case above, the interpretation of the 95% confidence interval is that we are 95% confident that the mean length of eggs for this particular bird population is between 45 mm and 60 mm.
PLEASE HELP ME WITH THIS!!!
Answer:
a) 70°
Step-by-step explanation:
∠3 = 110
∠5 = ∠1
∠1 = 180 - ∠3
∠1 = 180 - 110
∠ 1 = 70
∠5 = ∠1 (corresponding angles postulate)
∠5 = 70
What is the equation for the line in slope intercept form
Answer:
The equation is y = -4x + 5Step-by-step explanation:
Looking at the graph, we can say that the y-intercept is 5. All we need to do now is to find the slope. I took two points (0, 5) and (3, -7)
We know that:
Slope formula = Rise/RunFormula = y = mx + b (m = slope; b = y-intercept)Work
=> -12/3=> Slope = -4Since the slope is -4, the value of 'm' must be -4.
Our equation = y = -4x + 5Hence, the equation is y = -4x + 5
Hoped this helped.
\(BrainiacUser1357\)
A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $258. A second purchase, at the same prices, included 90 ft of redwood and 60 ft of pine for a total cost of $372. Find the cost per foot of redwood and of pine.
Answer:
redwood: $3.20 per footpine: $1.40 per footStep-by-step explanation:
The two purchases can be described by the equations ...
50r +70p = 258
90r +60p = 372
Rewriting these equations in general form facilitates the use of the cross-multiplication method of solving them.
50r +70p -258 = 0
90r +60p -372 = 0
According to the cross-multiplication method, we need three cross-products:
∆1 = (50)(60) -(90)(70) = -3300
∆2 = (70)(-372) -(60)(-258) = -10560
∆3 = (-258)(90) -(-372)(50) = -4620
The solutions are the solutions to the equations ...
1/∆1 = t/∆2 = p/∆3
r = ∆2/∆1 = -10560/-3300 = 3.20
p = ∆3/∆1 = -4620/-3300 = 1.40
The cost per foot of the redwood was $3.20; of the pine, $1.40.
_____
Additional comment
Here's how this version of the "cross-multiplication" method works. For equations ...
ax +by +c = 0dx +ey +g = 0a coefficient array can be written as ...
\(\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right]\)
The cross-products of interest are formed from adjacent columns:
\(\Delta1=ac-db\\\Delta2=bg-ec\\\Delta3=cd-ga\)
and the solutions are ...
\(x=\dfrac{\Delta2}{\Delta1},\quad y=\dfrac{\Delta3}{\Delta1}\)
Using this method requires no more arithmetic operations than solving by substitution or elimination, and may require fewer: 6 products, 3 sums, and 2 quotients are needed.
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 3,910 ÷ 25?
2,500
25
250
25,000
Answer:
250
Step-by-step explanation: