The Osborne 1 was the first laptop ever released, and it weighed 11 kg in 1981. Since then, the average rate of weight decrease has been 4.7% per year. This means that in 2019, a laptop would have weighed around 2.3 kg.
1981: 11 kg
1982: 10.5 kg (11 kg - 0.55 kg = 10.5 kg)
1983: 10.02 kg (10.5 kg - 0.48 kg = 10.02 kg)
1984: 9.55 kg (10.02 kg - 0.47 kg = 9.55 kg)
2019: 2.3 kg (3.44 kg - 1.14 kg = 2.3 kg)
The Osborne 1 was the first laptop ever released in 1981, and it weighed 11 kg. Since then, the average rate of weight decrease has been 4.7% per year. This means that the mass of a laptop decreases by 0.47 kg every year on average. So, in 1982 it would have weighed 10.5 kg, in 1983 it would have weighed 10.02 kg, and so on. By 2019, the weight of a laptop would have decreased to 2.3 kg as a result of this 4.7% average rate of weight decrease.
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i'm stuck on this question! solve for x. assume that lines which appear tangent, are tangent.
Answer:
7
Step-by-step explanation:
The formula for intersecting chords creating which create the limits of arcs and associated angles is
<HES = 1/2 (ARC HS + ARC GF)
<HES = 1/2 (ARC 51 + ARC 195)
<HES = 1/2 (246)
<HES = 123
What that tells you is that <GEF = the same thing because <HES and <GEF are vertically opposite.
Now I am going to assume that <HES = 16x + 11. This is not a sure thing, but I assume it is what is intended.
16x + 11 = 123 Subtract 11 from both sides
16x = 123 - 11
16x = 112 Divide by 16
x = 112/16
x = 7
-x+6=-2(x+2)-5
Solve for x
Answer:
x = -15
Step-by-step explanation:
-x+6=-2(x+2)-5
Solve for x
-x + 6 = -2(x + 2) - 5
-x + 6 = -2x - 4 - 5
x = -15
------------------------
check- (-15) + 6 = -2(-15 + 2) - 5
21 = 21
the answer is goodx = -15
The daily recommended allowance of vitamin c for a sixth grader is 45 mg. 1 orange has about 75% of the recommended daily allowence of vitimin c. How many milligrams are in 1 orange?
Proportionately, the quantity of milligrams of vitamin c in 1 orange is 33.75 mg.
What is proportion?Proportion refers to the part of a whole contained in another value.
Proportion is a ratio representation, which is fractional in value.'
We depict proportions using decimals, fractions, or percentages.
The daily recommended allowance of vitamin c for a sixth grader = 45 mg
The content of 1 orange to the daily recommended allowance = 75%
75% of 45 mg = 33.75 mg.
Thus, 1 orange will proportionately contain 33.75 mg, which is 75% of 45 mg.
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Which of the lines below is parallel to y = 7x + 5
a. y = -1/7 x + 1
b. y = 7x - 3
c. y = -7x + 10
d. y = 1/7 x - 20
Dante built a wooden, cubic toy box for his son. Each side of the box measures feet.How many cubic feet of toys will the box hold?
Answer:
Cubic feet of toys box hold = 30 cubic feet
Step-by-step explanation:
Missing information;
Length of toy box = 5 feet
Width of toy box = 3 feet
Height of toy box = 2 feet
Find:
Cubic feet of toys box hold
Computation:
Cubic feet of toys box hold = Volume of rectangular box
Volume of cuboid = [l][b][h]
Cubic feet of toys box hold = [5][3][2]
Cubic feet of toys box hold = 30 cubic feet
I need help please! In each case below, list the lettered measures for angles or sides in descending order (FROM GREATEST TO LEAST).
Answer:
β, α, γ
Step-by-step explanation:
The figure only shows us the side lengths of the triangle, but is asking for the angles.
Thus, we have to use the angle relationships of a triangle to answer the question.
⭐What are the angle relationships of a triangle?
the angle opposite of the largest side is the largest anglethe angle opposite of the smallest side is the smallest angleα° is opposite of the side length with 9 cm.
β° is opposite of the side length with 12 cm.
γ° is opposite of the side length with 5 cm.
∴ The angles from highest to the least are β, α, γ
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Answer:
Step-by-step explanation:
The answer should be BAY but if i check it don't work
Eden is working on an experiment for her science fair project. She is planting a total of 10 herbs for an herb garden. She is going to plant basil and mint. The basil plants cost $.50 per plant and the mint plants cost $.25 per plant. Eden has a total of $3 to spend on plants because she also has to purchase potting soil and a long planter pot. Write a system of equations and solve either using elimination or substitution.
A system of equations for this problem can be written as:
x + y = 10 (1) equation for the total number of herbs planted
0.50x + 0.25y = 3 (2) equation for the total cost of the herbs
Where x is the number of basil plants and y is the number of mint plants.
Using substitution, we can solve the system of equations.
Solving equation (1) for x, we get x = 10 - y
Substituting this into equation (2) we get:
0.50(10 - y) + 0.25y = 3
5 - 0.50y + 0.25y = 3
5 = 0.75y + 3
0.75y = -2
y = -2/0.75 = -8/3
So, Eden planted -8/3 mint plants, which doesn't make sense, as a fraction of plant are not possible. This implies that either the number of plants or the amount spent are incorrect or something is missing in the problem description.
Nevaeh earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She is about to take Exam B that has a mean of 36 and a standard deviation of 10. How well must Nevaeh score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
Nevaeh's score in Exam A of 850, where the mean and standard deviation are 550, and 100, indicates, using the z-score, that in Exam B with a mean and standard deviation of 36 and 10, respectively, her score should be 66.
What is a z-score?A z-score is an indication of the number of standard deviations, a data point is from the mean.
The score Nevaeh earned in Exam A, x₁ = 850
The mean score for Exam A, μ₁ = 550
The standard deviation for Exam A, σ₁ = 100
The mean score for Exam B, μ₂ = 36
The standard deviation for Exam B, σ₂ = 10
A quantity that can be used to evaluate Nevaeh's score for Exam A is the z-score, which can be expressed as follows;
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
Nevaeh's z-score for Exam A is therefore;
[tex]z = \dfrac{850 - 550}{100} =3[/tex]
Nevaeh's performance on Exam B in order for her to do equivalently well as she did on Exam A is obtained by using a z-score of 3 for her performance in Exam B as follows;
[tex]z = 3 = \dfrac{x_2 - 36}{10}[/tex]
3 × 10 = x₂ - 36
30 = x₂ - 36
x₂ = 30 + 36 = 66
Nevaeh's score on Exam B should be 66 in order for her to perform equivalently well as she did in Exam A
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What is the value of F (- 3 2 where F x )= 4x2 3x 7 2?
The value of F (- 3 2 where F x )= 4x2 3x 72 is:
F ( -3) = - 27 and F (2) = - 62
What is function?In mathematics, function is an expression that shows a relationship between an independent variable and a dependent variable. In other words, a function creates a relation between an input to an output.
As per the given function F(x), x is the independent variable and F (x) is the dependent variables.
generally, we write F(x) = y
What is the value of F ( -3, 2) for the function given in question?given, F (x) = 4x² - 3x -72
F (x) is a function of x
for x = - 3, F ( -3) = 4(-3) ² - 3(-3) -72
F (- 3) = - 27
again, x = 2, we get F (2) = 4(2) ² - 3(2) - 72
F (2) = - 62
from the above calculation, we find (-3, 2) are domain of function F (x) and
(- 27, -62) are ranges of the above function.
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Use the dropdown boxes below to complete the statement about the following quadratic function: g (x) = -5x^2 + 10x The function has a [ Select ] value of [ Select ] that occurs at x equals [ Select ] .
Answer:
i dont see boxes and yea
Step-by-step explanation:
A mountain on a tropical island experiences changes in its height due to volcanic activity. Its current height is 2,827 meters, which is 10% taller than it was when the mountain was last measured. How tall was it then?
Answer:
2,570 meters
Step-by-step explanation:
110% of what number is 2827
1.1x = 2827 Divide both sides by 1.1
[tex]\frac{1.1x}{1.1}[/tex] = [tex]\frac{2827}{1.1}[/tex]
x = 2570
05. Divided by 26.75
Answer:
53.5
Step-by-step explanation:
I think this is what you're looking for
Answer:
0.18691588785
If you meant 26.75÷5, it would be 5.35.
Two children take turns breaking up a rectangular chocolate bar 6 squares wide by 8 squares long. They may break the bar only along the divisions between the squares. If the bar breaks into several pieces, they keep breaking the pieces up until only the individual squares remain. The player who cannot make a break loses the game. Who will win
The player who goes first will win.
This is because the chocolate bar can be broken up into 6*8=48 squares, and the player who goes first can always ensure that the second player is left with one square on their turn (by breaking the bar into two pieces that leave one square for the second player to take). This means that the second player will always be the one who cannot make a break, and thus loses the game.
Therefore, The player who goes first will win.
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PLZS HELP If Mary bought 12 of the Brand X batteries, how many of them lasted less than 15 hours? (Please show how you calculated this to get your answer
Answer:
1
Step-by-step explanation:
How does the formula S=2B+Ph apply to finding the surface area of a right prism?
Answer S−2BP=h
Explanation:isolate the Phterm on one side of the equation:S−2B=PhDivide both sides by P:S−2BP=h
Hopefully this helps!
brainlest if it rightt
At the movie theatre, child admission is $5.10 and adult admission is $8.90. On Sunday, 156 tickets were sold for a total sales of $1145.20. How many child tickets were sold that day?
let y = number of child tickets so the total 0f 34 child tickets is sold at that day.
Define substitution.To calculate an expression's value by substitution, integers are substituted for letters in the expression.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
let x = number of adult tickets
let y = number of child tickets
x = 4y (four times as many adult tickets as child tickets
8.4x + 5.1y = 1315.8
but we can substitute 4y for x
8.4(4y) + 5.1y = 1315.8
33.6y + 5.1y = 1315.8
38.7y = 1315.8
y = 34 and x = 4Y
x = 136
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Please answer correctly I’ll mark you brainlist!
Answer: width = 4m, perimeter = 26m
Step-by-step explanation:
area of rectangle = width x length
9x = 36
x = 4
width = 4m
perimeter:
9 + 9 +4+4 = 26 m
What is the inverse of f(x) = -6(x - 2)?
hello please help i’ll give brainliest
Answer:
fault lines.
Step-by-step explanation:
PLEASE HELP !!
What is the missing reason for line 6 in this proof?
CPCTC
This acronym stands for "corresponding parts of congruent triangles are congruent". The triangles being congruent leads to their corresponding pieces being the same length. It's like saying if two houses are identical, then the front doors must be identical as well. Notice how this builds off the fact the triangles are proven congruent in line 5.
What is the coefficient of y2 in the expression 2x2y 15xy2 7y?
Let x be the coefficient of y^2 in the expression 2x^2y+15xy^2-7y. So x=0.
What is co-efficient?
A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves.
Write an example of co-efficient.
As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.
The given algebraic expression is 2yx^2+15xy^2-7y.
The terms are xy^2, yx^2 any y^2
So the co-efficient of y^2 is 0
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How do you know if its linear or linear?
Linear equations are equations that can be written in the form ax + b = c, where a, b, and c are real numbers and a ≠ 0.
The equation can be solved for the variable x by subtracting b from both sides and then dividing both sides by a. This will give the solution for x, which is x = (c - b) / a.
For example, consider the equation 2x + 4 = 10. This is a linear equation since it can be written in the form ax + b = c, where a = 2, b = 4, and c = 10. To solve for x, subtract b from both sides to get 2x = 6, and then divide both sides by a to get x = 3. Therefore, the solution to the equation is x = 3.
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When can parallelism make your algorithms run faster when could it make your algorithms run slower?
When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.
What algorithm is parallelizable?The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.
When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.
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Adrian purchased a new car in 2007 for $27, 100. The value of the car has been
depreciating exponentially at a constant rate. If the value of the car was $12, 300 in
the year 2013, then what would be the predicted value of the car in the year 2023, to
the nearest dollar?
Answer:
2344 .
Step-by-step explanation:
n/a
What is the experimental probability of how many times on even number was actually rolled using the table?
Since there was a total of 36 rolls, and 15 of the rolls gave an even number, the odds will be 15/36. This can be reduced to 5/12, your answer.
Hope that helps.
Can someone tell me how to do this?
solve 4x + 3 = 11
x = ?
Answer:
x = 2
Step-by-step explanation:
4x + 3 = 11
(4x + 3) - 3 = 11 - 3
4x = 8
4x/4 = 8/4
x = 2
As you can see, to isolate x, we must do the opposite operations to both sides.
How can 7/8 and 5/6 as a pair of fractions with the smallest common denominator?
Answer:
7/8 as 21/24 and 5/6 as 20/24
Step-by-step explanation:
8: 8, 16, 24, 32, 40
6: 6, 12, 18, 24, 30
7/8 x 3/3 = 21/24
5/6 x 4/4 = 20/24
Esme buys x magasins at $2.45 each and y cards at $3.15 each. Write down an expression, in terms of x and y, for the total cost, in dollars, of the magasins and cards
Answer:
2.45x + 3.15y
Step-by-step explanation:
→ Multiply the price of the magazines by the number
2.45x
→ Multiply the price of the cards by the number
3.15y
→ Add the answer together
2.45x + 3.15y
What is the value of b?
33°
7b-5°
10b-22°
Answer:
35 i think hope it helps you
thank you
Find C using Special right triangles
The length c of the right angle triangle is 9 units.
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.
The sides of a right angle triangle can be found using trigonometric ratios as follows:
Therefore,
sin 60° = opposite / hypotenuse
where
opposite side = c
hypotenuse side = 6√3 ft
Hence,
sin 60° = c / 6 √3
cross multiply
c = 6√3 × sin 60
c = 6√3 × √3 / 2
c = 6 × 3 / 2
c = 18 / 2
Therefore,
c = 9 units
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