9514 1404 393
Answer:
x^2 -4x +2 = 0
Step-by-step explanation:
The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...
(x -2-√2)(x -2+√2) = 0
Expanding this, we get ...
(x -2)^2 -(√2)^2 = 0
x^2 -4x +4 -2 = 0
x^2 -4x +2 = 0 . . . . the equation you're looking for
On a bookshelf, there are 8 fiction and 7 nonfiction books. Paul randomly selects one, puts it back, and then randomly selects another. What is the probability that both selections were fiction books?
Answer:
28%
Step-by-step explanation:
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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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
A 12 pack of soda cost $4.80. What is the unit cost?
Answer:The cost of each can is $ 0.31
.
Step-by-step explanation: You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!
brianlist please ?
To find the unit cost, simply divide the amount of money by the amount.
4.80÷12= 0.4 dollars
So each soda is only 0.4 dollars.
How can you check this?
0.4 dollars times 12 should equal the total cost of soda.
0.4x12=4.80, so it's correct.
The pitchers for the home team had 12 strikeouts for 32 batters, while the pitchers for the visiting team had 15 strikeouts for 35 batters. Which pitching team had a greater fraction of strikeouts.(Hint: Just make the 12 for 32 and 15 for 35 into fractions and see which is greater or less than.)
Answer:
2958843/5 5/1000775747373838388484737372737375823What is the value of b?
33°
7b-5°
10b-22°
Answer:
35 i think hope it helps you
thank you
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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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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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
I need a verbal description for the equation using the graph texts. Thank you!
Answer:
The y intercept is at (0,12) and the line has a positive slope of rising up 1.5 squares and moving horizontly 1 square
Step-by-step explanation:
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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!!!!!!NEEED HELP ASAP DUE SOON!!!!!!!!
If m^2 = 3 then what is the value of 5m^6
a. 15
b. 30
c. 45
d. 135
Answer:
135
Step-by-step explanation:
m^2 = 3
Cube m^2
(m^2)^3 = 3^3
m^(2*3) = 27
m^6 = 27
Now multiply by 5
5 * m^6 = 5*27
5 m^6 =135
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.
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.
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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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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the difference of a number x and 7.
Answer: difference means subtract
x-7
HOPE THIS HELPS
How do you solve 5t 35?
The answer to this question will t = 8. The first step to solving this equation is to combine the like terms by adding the two numbers together.
In this case, 5t + 35 = 40t. The next step is to divide both sides of the equation by the coefficient of the variable, which in this case is 5. When you do this, you get 40t/5 = t. Therefore, the answer to 5t + 35 is t = 8.
A coefficient is an integer that is either multiplied by the variable it is associated with or written alongside the variable. A coefficient is, in other words, the numerical factor of a term that contains both constants and variables. For instance, the coefficient in the expression 2x is 2.
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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
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
What is the inverse of f(x) = -6(x - 2)?
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
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
IF THIS RESPONSE HELPED YOU, PLEASE MARK IT THE BRAINLIEST :-)
Answer:
Step-by-step explanation:
The answer should be BAY but if i check it don't work
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
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:
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.
Linear equation and linear system
Answer:
Step-by-step explanation:
you have studied this in grade 8 grade 9 and grade 10 if you are studying under CBSE, so, better call textbook
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:
hello please help i’ll give brainliest
Answer:
fault lines.
Step-by-step explanation: