Answer
8/60 = 2/15
Step-by-step explanation: to get 60 times it by 4 so 8/60 then simplify it by 4 to get 2/15
3x-y=-27
12x+3y=4
substitution
Answer:
proofs attached to answer
Step-by-step explanation:
proofs attached to answer
Find the value of x for the right triangle 15 30 degrees
According to the question the value of x in the right triangle with a 30-degree angle and hypotenuse of 15 is 7.5.
We can use trigonometric ratios to find the value of x in a right triangle with a 30-degree angle and hypotenuse of 15.
First, we can use the fact that in a 30-60-90 triangle, the length of the shorter leg is half the length of the hypotenuse. So, we know that:
x/15 = 1/2
Multiplying both sides by 15 gives:
x = 7.5
Therefore, the value of x in the right triangle with a 30-degree angle and hypotenuse of 15 is 7.5.
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the chance a 1-km segment of railroad track contains a defect is 0.01. assume the 1-km segments of track are independent. a. compute the probability that exactly 125 km of track need to be tested before a defect is found. b. on average, how many 1-km segments of railroad track have to be tested before a defect is found? 3. a geotechnical engineering company conducted a study that indicates there is a 20% chance a borehole in a certain neighborhood will find a layer of clay no more than 20 m deep. a. compute the probability that the third layer of clay within 20 m is found on the seventh borehole drilled. b. compute the mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m. 4. dam failures are rare and are estimated to occur on average once every five years. a. compute the probability there will be at least one dam failure in the next 10 years. b. draw a pmf that describes the random variable x
The probability mass function (pmf) of the random variable x is:
Question 1: The chance a 1-km segment of railroad track contains a defect is 0.01. Assume the 1-km segments of track are independent. a. Compute the probability that exactly 125 km of track need to be tested before a defect is found. b. On average, how many 1-km segments of railroad track have to be tested before a defect is found?
Answer 1: a. The probability that exactly 125 km of track need to be tested before a defect is found is 0.000148. b. On average, 125.01 1-km segments of railroad track need to be tested before a defect is found.
Question 2: A geotechnical engineering company conducted a study that indicates there is a 20% chance a borehole in a certain neighborhood will find a layer of clay no more than 20 m deep. a. Compute the probability that the third layer of clay within 20 m is found on the seventh borehole drilled. b. Compute the mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m.
Answer 2: a. The probability that the third layer of clay within 20 m is found on the seventh borehole drilled is 0.02. b. The mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m are 15 and 75 respectively.
Question 3: Dam failures are rare and are estimated to occur on average once every five years. a. Compute the probability there will be at least one dam failure in the next 10 years. b. Draw a pmf that describes the random variable x.
Answer 3: a. The probability that there will be at least one dam failure in the next 10 years is 0.8187. b. The probability mass function (pmf) of the random variable x is:
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the total attendance a (in thousands) at ncaa women's basketball games and the number t of ncaa women's basketball teams over a period of time can be modeled by a
The function that models the total attendance a (in thousands) at NCAA women's basketball games and the number t of NCAA women's basketball teams over a period of time can be expressed as:
a = 5t + 200 thousands.
The total attendance a (in thousands) at NCAA women's basketball games and the number t of NCAA women's basketball teams over a period of time can be modeled by a function of the form a = kt + b.
where k and b are constants.
Let's determine the slope and y-intercept using the given information: a = kt + b
Given: a = 200 thousand and t = 5 teams
Substitute these values into the equation: a = kt + b200 thousand = 5k + b
The equation can be rewritten as: b = 200 thousand - 5k
We know that b represents the y-intercept,
so when t = 0, the attendance is given by b (in thousands).
Therefore, b represents the initial attendance at the start of the period of time in question.
To find the value of b, substitute t = 0 into the equation:
b = 200 thousand - 5(0) = 200 thousand.
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find length of side of Rhombous whose diagonals are 6cm and 12cm
Answer:
Step-by-step explanation:
Step-by-step explanation:
We know that diagonals of a rhombus perpendicularly bisect each other.
Therefore
Let side of rhombus be 'a' , then
[tex] {a}^{2} =( \frac{d1}{2} )^{2} + ( \frac{d2}{2} ) + = \frac{12}{2}^{2} + ( \frac{6}{2}) ^{2} = 36 + 9 \\ \\ a ^{2} = 45 = a = \sqrt[3]{5} [/tex]
Tia, Will, and Ana each have some pennies, nickels, and dimes. The table provides information about the number of coins each person has. Complete questions 1
The subject of this question is Mathematics and it involves counting and working with coins.
Explanation:The subject of this question is Mathematics as it involves counting and working with coins.
Tia has 12 coins in total, consisting of 6 pennies, 3 nickels, and 3 dimes. Will has 15 coins, with an equal number of pennies, nickels, and dimes. Ana has a total of 9 coins, with 2 pennies, 4 nickels, and 3 dimes.
In summary, the question involves counting the number of coins each person has, which can be solved using basic arithmetic and understanding of coin values.
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Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How many meters per second does Sheila travel?
Answer:
6 meters per second
Step-by-step explanation:
6 meters/ seconds
Step 1: Find the unit rate
total distance/total time
54/9
6 meters / seconds
Answer: 6 meters/ seconds
Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10−6. ∑[infinity]k=1(−1)kk4 (Round an answer to the nearest integer as needed.)
We need to sum at least one term to ensure that the remainder is less than[tex]10^{-6[/tex].
We know that the alternating series test states that if a series is alternating and its terms are decreasing in absolute value, then the series converges. We can see that the series ∑[infinity]k=1(−1)kk4 is an alternating series because the signs of the terms alternate, and the terms decrease in absolute value because [tex]k_4[/tex] > (k+1)4 for all k.
Now, we can use the remainder formula for an alternating series, which tells us that the remainder Rn of an alternating series ∑[infinity]k=1(−1)ka_k after n terms is less than or equal to the absolute value of the next term [tex]a_{n+1[/tex]:
|Rn| ≤ |[tex]a_{n+1[/tex]|
So, we want to find the smallest value of n such that |a_n+1| < 10^(-6). We have:
[tex]a_k = (-1)^k \times k^4[/tex]
[tex]a_{n+1} = (-1)^{(n+1)} \times(n+1)^4[/tex]
We want to find n such that:
[tex]|(n+1)^4| < 10^{(-6)[/tex]
Taking the fourth root of both sides, we get:
[tex]|n+1| < (10^(-6))^(1/4)[/tex]
|n+1| < 0.1
n+1 < 0.1 or -(n+1) < 0.1
n < 0.1 - 1 or n > -0.1 - 1
n < -0.9 or n > -1.1
Since n must be a positive integer, the smallest possible value of n that satisfies this inequality is n = 1. Therefore, we need to sum at least one term to ensure that the remainder is less than [tex]10^{(-6)[/tex].
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Matt and Noah are each going to buy a new video game. Noah’s video game costs $27.99 and Matt’s costs $21.99. If sales tax is 6.5%, how much will they each have to pay altogether including tax?
A) Noah's total cost with tax $
To calculate the total cost including tax for Noah's video game, we need to add the cost of the game to the sales tax.
Sales tax on Noah's game = 6.5% of $27.99 = $1.82
Total cost for Noah's game = $27.99 + $1.82 = $29.81
Similarly, for Matt's game:
Sales tax on Matt's game = 6.5% of $21.99 = $1.43
Total cost for Matt's game = $21.99 + $1.43 = $23.42
Therefore, Noah will have to pay $29.81 and Matt will have to pay $23.42 including tax.
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given class period runs between 50.5 and 51.0 minutes.
0.25
Explanation:
The easiest way to answer this question is to recognize that a uniform probability distribution is essentially a rectangle with an area equal to 1.
Now find the area of a portion of this rectangle.
[tex]\dfrac{51-5.05}{52-50} =\dfrac{0.5}{2} =0.25[/tex]
[tex]1\times0.25=0.25[/tex]suppose the average waiting time for a customer's call to be answered by a company representative is four minutes. (a) find the probability that a call is answered during the first two minutes. (b) find the probability that a customer waits more than four minutes to be answered.
(a)The probability that a call is answered during the first two minutes is 50%.
(b)The probability that a customer waits more than four minutes is infinite.
(a)The probability that a call is answered during the first two minutes is 50%. This is because, if the average waiting time is four minutes, then the call is equally likely to be answered during the first two minutes as it is during the last two minutes. Therefore, the probability of being answered within the first two minutes is 50%.
(b)The probability that a customer waits for more than four minutes can be calculated by assuming that the waiting time follows the same continuous uniform distribution from 0 to 4 minutes. The probability density function (PDF) for this distribution is:
f(x) = 1/4 0 <= x <= 4
The probability that a customer waits more than four minutes is the area under the PDF from 4 to infinity:
P(x > 4) = integral from 4 to infinity of f(x) dx
= integral from 4 to infinity of 1/4 dx
= [1/4 * x] evaluated from 4 to infinity
= lim(x -> infinity) (1/4 * x) - (1/4 * 4)
= infinity
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Please help me! This is due at 2:15 PM!!!! A game has 15 balls for each of the letters B, I, N, G, O. The table shows the results of drawing balls 1,250 times.
Letter Frequency
B 247
I 272
N 238
G 241
O 252
For which letter is the experimental probability closest to the theoretical probability? Explain please.
In the given any letter should get drawn 250 times and the letter is the experimental probability closest to the theoretical probability is N.
What is probability?
Probability is a way of calculating how likely something is to happen. It is difficult to provide a complete prediction for many events. Using it, we can only forecast the probability, or likelihood, of an event occurring. The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.
Theoretically, each letter should have the same probability of occurring since there are 15 of each. There are 5 letters that can be drawn, so there is a total of 75 balls, and each letter has a probability is ,
=> [tex]\frac{15}{75}= \frac{1}{5}[/tex] of being drawn.
This means one would expect a theoretical frequency of
=> [tex]\frac{1250}{5}= 250[/tex]
Hence any given letter should get drawn 250 times and the letter is the experimental probability closest to the theoretical probability is N.
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The height of a machine part should be 13. 15 millimeters (mm). The manufacturing tolerance is within 0. 07 mm.
Complete the statements.
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An absolute value equation that could be used to determine the maximum and minimum value of h, the height of the machine part, is [DROP DOWN 1]. The
minimum value the machine part could be is [DROP DOWN 2]. The maximum value the machine part could be is [DROP DOWN 3]
a) An absolute value equation that could be used to determine the maximum and minimum value of h, the height of the machine part, is: | h - 13.15 | ≤ 0.07
b) The minimum value the machine part could be is: 13.08 mm
c) The maximum value the machine part could be is: 13.22 mm
An absolute value equation that could be used to determine the maximum and minimum value of h, the height of the machine part, is
| h - 13.15 | ≤ 0.07
The minimum value the machine part could be is
13.15 - 0.07 = 13.08 mm
The maximum value the machine part could be is
13.15 + 0.07 = 13.22 mm
The absolute value equation represents the range of acceptable values for the height of the machine part, which is within 0.07 mm of the target height of 13.15 mm.
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Nelson applies two transformations to WXYZ so that the final vertices of the transformed figure
are located at (-2,0), (2, 0), (2,-6) and (0,-2).
Which transformations could be the two transformations Nelson applies to WXYZ?
first transformation:
second transformation:
First transformation: Reflection across the y-axis
Second transformation: Vertical translation down by 12 units.
What is coordinate?A coordinate is a value that specifies the position of a point in a particular system or framework of reference. Coordinates are typically expressed as numerical values that describe the location of a point in relation to some predefined origin, axis, or set of reference points. The most common type of coordinate system is the Cartesian coordinate system, which uses two or three axes to describe points in a plane or in three-dimensional space, respectively. In this system, coordinates are typically expressed as ordered pairs (for two-dimensional points) or ordered triplets (for three-dimensional points), such as (x, y) or (x, y, z), where x, y, and z represent the distances along each axis from the origin. Other types of coordinate systems include polar coordinates, cylindrical coordinates, and spherical coordinates, which are used in various branches of mathematics and science to describe points in different contexts.
To find the two transformations, we can use the fact that applying multiple transformations to a figure is the same as applying a single transformation that is the composition of the individual transformations.
Let's start with the final vertices of the transformed figure: (-2,0), (2, 0), (2,-6), and (0,-2).
We can see that the first two vertices have the same x-coordinate and are located on the x-axis. This suggests a reflection across the y-axis, which would swap the x-coordinates of the vertices.
So, the first transformation is a reflection across the y-axis.
After this transformation, the transformed figure has vertices (-WXYZ).
Next, we need to find the second transformation that maps WXYZ to (-WXYZ) with the given final vertices.
We can see that the vertex (2,-6) has a lower y-coordinate than the other three vertices. This suggests a vertical translation that moves this vertex down to its final position.
To determine the amount of vertical translation, we can subtract the y-coordinate of the vertex in its initial position (6) from the y-coordinate of the vertex in its final position (-6), which gives a total downward movement of 12 units.
So, the second transformation is a vertical translation down by 12 units.
Therefore, the two transformations that Nelson applies to WXYZ are a reflection across the y-axis followed by a vertical translation down by 12 units.
First transformation: Reflection across the y-axis
Second transformation: Vertical translation down by 12 units.
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give me a good explanation of how rankings work in brainly cuz i forgot
Answer:
There are two types of ranks on each version of Brainly:
Regular ranks
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Below is the full list of those regular ranks with their respective requirements and descriptions:
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Our Genius rank is for members who have been helping others for many months, posting high-quality, conscientious answers. They know their way around Brainly, and are trusted for their insightful and extremely helpful answers; truly the best of the best.
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An Expert is a subject-level genius. A member of the highest caliber who has been recognized and honored (Best Answers) by other Brainly members. Experts take education seriously and this shines through in their high-quality answers.
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erin burns 3.2 calories per minute while playing flag football if she plays the entire 40 minute half how many calories does she burn
Also please explain the steps to solving
Answer: To solve this problem, first multiply 3.2 calories by 40 minutes to find the total number of calories she burns in one half:
3.2 calories/minute x 40 minutes = 128 calories
Erin burns 128 calories while playing flag football during one 40 minute half.
Help!!!! It’s due at 9:30 tomorrow
The two-column proofs of the segments are shown below
Proving that AG ≅ EDThe proof is as follows
Statement Reason
ABCD and BCDE are parallelogram Given
AG = BC Opposite sides of
parallelogram
ED = BC Opposite sides of
parallelogram
AG ≅ ED Substitution property (proved)
Proving that KLMN is a parallelogram
The proof is as follows
Statement Reason
KL || NM and ∠L ≅ ∠N Given
KN ≅ LM CPCTC
KL ≅ NM CPCTC
We've proved that the opposites sides are equal and parallel
So, KLMN is a parallelogram
Proving that STUV is a parallelogram
The proof is as follows
Statement Reason
ST || VU and W is midpoint of SU Given
SW = UW Definition of midpoint
VW = TW Definition of midpoint
VU = ST CPCTC
VS = UT CPCTC
We've proved that the opposites sides are equal and parallel
So, STUV is a parallelogram
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What series of transformations would carry the rectangle onto itself?
O(x+0,y-4), 180° rotation, reflection over the y-axis
O(x+0, y-4), 180° rotation, reflection over the x-axis
O (x-4, y+0), 90° counterclockwise rotation, reflection over the x-axis
O (x-4, y+0), 90° counterclockwise rotation, reflection over the y-axis
The second transformation which is (x+0, y-4), 180° rotation, reflection over the x-axis would carry the rectangle onto itself.
What is transformation?
Forms on a coordinate plane can be rotated, reflected, or translated using transformations. Each vector can be translated, any line can be reflected, and any point can be rotated.
We are given a graph on which a rectangle is drawn. This has to be transformed in such a way that it lands onto itself.
Of the given options only the second option is through which it will land on itself.
As when we reflect over x - axis, the rectangle will come in the 3rd quadrant and after rotating it 180°, there will be no change.
Now, to bring it back to its original position, we will have to reduce the y - coordinate by 4 due to which it will shift upwards.
Hence, the second option is the correct option.
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The probability of drawing a red card from a stan
of 52 cards is. 1/2The probability of throwing a 4 on a die
is 1/6. What is the probability of drawing a red card and
throwing a 4?
The total probability that red card from a deck of 52 cards and 4 on dice will come: P(R and 4) = 1/12.
Explain about the total probability?A fundamental statistician's rule governing conditional and margin probabilities is the total probability rule, commonly known as the rule of total probability.
According to the rule, if the chance of a happening is unknown, its probability may be determined using the probabilities of numerous different occurrences that have already occurred.
For the given question:
Probability of drawing a red card say P(R) = 1/2.
Probability of throwing 4 on dice P(4) = 1/6.
Thus, total probability that red card and 4 on dice will come:
P(R and 4) = P(R)* P(4)
P(R and 4) = 1/2 * 1/6
P(R and 4) = 1/12
Thus, total probability that red card from a deck of 52 cards and 4 on dice will come: P(R and 4) = 1/12.
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ihi asa asj dwaoa sd jaoizjx ccosnoad waspdzixj coijsa sdjad
Answer:
Step-by-step explanation: ???
What cos is and what Sin is of this triangle
Answer:
cos65°= x/11
cos65° × 11=x
4.65=x
Answer:
25°x1165°x11Step-by-step explanation:
You want to know suitable equations that can be solved for x given that AC=x, AB=11, and ∆ABC is a right triangle with angle A=25° and C=90°.
Trig relationsThe mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
AnglesThe side marked 11 is the hypotenuse, and the side marked x is adjacent to the 25° angle and opposite angle B. We can find the measure of angle B as the complement of angle A:
∠B = 90° -25° = 65°
ApplicationThe cosine relation is ...
cos(A) = AC/AB
cos(25°) = x/11
The sine relation is ...
sin(B) = AC/AB
sin(65°) = x/11
These are equations you can solve to find x.
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The perimeter of the figure is approximately 32.6 units
What is perimeter ?
Perimeter is a term used in geometry to describe the total length of the boundary or outer edge of a two-dimensional shape. In other words, it is the sum of the lengths of all the sides of a shape.
The concept of perimeter is most commonly used with polygons, which are shapes with straight sides. To find the perimeter of a polygon, we simply add up the lengths of all its sides. For example, the perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
where length and width are the dimensions of the rectangle.
According to the question:
To find the perimeter of the figure, we need to add up the lengths of all its sides.
First, let's find the circumference of each semicircle. The diameter of each semicircle is 4, so the radius is 2. The circumference of each semicircle is:
C = πr = π(2) = 2π
Since there are two semicircles, the total length of their circumferences is:
2(2π) = 4π
Now let's find the length of the sides of the rectangle. One side has length 6, and the other side is the diameter of the semicircles, which is also 4. So the length of the other side of the rectangle is 4. Therefore, the perimeter of the rectangle is:
2(6 + 4) = 20
Finally, we can add up the lengths of all the sides to find the perimeter of the figure:
Perimeter = 4π + 20
Using a calculator to approximate π as 3.14 and rounding to the nearest tenth, we get:
Perimeter ≈ 4(3.14) + 20 ≈ 32.6
Therefore, the perimeter of the figure is approximately 32.6 units.
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Answer: The answer is 32.6
Select the action you would use to solve x-3 =12. Then select the property that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides
B. Action: Multiply both sides by 3
C. Action: Subtract 3 both sides
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality
The property that justifies that action - A. Action: Add 3 to both sides, D. Property: Addition property of equality.
What is the addition property of equality?
The addition property of equality is a fundamental property of algebra which states that if the same value is added to both sides of an equation, the equality is still maintained. In other words, if a = b, then a + c = b + c for any value of c. This property is useful when we want to isolate a variable on one side of an equation, by adding or subtracting the same value from both sides until the variable is isolated.
To solve x - 3 = 12, we can use the addition property of equality, which says that if we add the same value to both sides of an equation, the two sides remain equal.
Starting with x - 3 = 12, we can add 3 to both sides to isolate the variable x:
x - 3 + 3 = 12 + 3
x = 15
Therefore, the solution to the equation x - 3 = 12 is x = 15.
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Is my answer correct? If it isn't can I get an explanation?
Answer:
you are correct but it may want it unrounded in which case it would be 21.6333076528
todd can afford to pay $390 per month for the next 7 years in order to purchase a new car. the interest rate is 6.8 percent compounded monthly. what is the most he can afford to pay for a new car today? multiple choice $41,807.66 $26,008.50 $24,708.07 $26,875.45 $25,765.88
Todd can afford to pay 390 per month for the next 7 years in order to purchase a new car. the interest rate is 6.8 percent compounded monthly. The value of the most Todd can afford to pay for a new car today is 24,708.07. The correct option is d. 24,708.07.
To calculate this, we can use the present value formula for a monthly compounded loan:
[tex]PV = PMT \times ((1 - (1 + r/n)^(-nt))/(r/n)),[/tex]
where PV is the present value or the amount that Todd can afford to pay for a new car today PMT is the monthly payment (390) n is the number of times the interest is compounded in a year (12 for monthly) r is the annual interest rate (6.8%) t is the total number of years (7)
Now, we can substitute the values and solve for PV:
[tex]PV = 390 \times ((1 - (1 + 0.068/12)^(-12\times7))/(0.068/12))
= 24,708.07[/tex]
Therefore, Todd can afford to pay 24,708.07 for a new car today.
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how many multiplications can the ibm compute per second?
The IBM computer can compute about 6 trillion (6 x 1012) multiplications per second
The IBM computer can perform around 6 trillion multiplications per second, making it one of the fastest computers in the world. Multiplication is a fundamental arithmetic operation that is used to calculate the total value when two or more numbers are combined.
Multiplication is used to calculate the total number of things when there are several equal groups. For example, 2 x 5 = 10 means that there are 10 items in two groups, each containing five items. The symbol "x" represents the multiplication operation.
The IBM computer can compute about 6 trillion (6 x 1012) multiplications per second. IBM's Summit computer, which is currently the world's most powerful computer, has a peak speed of 200 petaflops, or 200 quadrillion (2 x 1017) calculations per second. This makes it one of the fastest computers in the world.
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which of the following shows the best way to set up the product of (7x-1) and (5-4x+6x³)
last choice
x² needs to be represented
so you have to put a 0 there
6x³+ 0x² -4x +5
7x - 1
8. Choose all lengths that are equal to
6 feet 12 inches.
3 yd 1 ft
7 ft
7 ft 2 in.
2 yd 1 ft
1 yd 4 ft
By answering the presented questiοn, we may cοnclude that, the equatiοn lengths that are equal tο 6 feet 12 inches are: 7 ft and 2 yd 1 ft.
Thus, option b and d are correct.
Equatiοn: What is it?In mathematics, an equatiοn is a claim that twο expressiοns are equivalent. Twο sides that are separated by the algebraic symbοl (=) make up an equatiοn. As an illustratiοn, the claim "2x + 3 = 9" makes the claim that the cοmbinatiοn "2x + 3" equals the integer "9".
Finding the value οr values οf the variable(s) necessary fοr the equatiοn tο be true is the gοal οf equatiοn sοlving. Equatiοns can include οne οr mοre parts and be straightfοrward οr cοmplex, regular οr nοnlinear. Fοr example, the variable x is raised tο the secοnd pοwer in the equatiοn "x² + 2x - 3 = 0." In many different branches οf mathematics, including algebra, calculus, and geοmetry, lines are used.
6 feet 12 inches can be simplified tο 7 feet.
Sο, the lengths that are equal tο 6 feet 12 inches are: 7 ft
Also 7 ft is equal to 2yd 1ft
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find the total surface area for this triangular prism. 13cm,5cm,12cm,9cm,15cm,20cm
The total surface area of the triangular prism is 1008cm² with dimensions 13cm, 5cm, 12cm, 9cm, 15cm, and 20cm.
To find the total surface area of a triangular prism with dimensions 13cm, 5cm, 12cm, 9cm, 15cm, and 20cm, we first need to identify the different faces of the prism. The triangular prism has two triangular faces and three rectangular faces.
The area of one triangular face can be calculated as
(1/2) x base x height, where the base is 12cm and the height is 9cm. Therefore, the area of one triangular face is
(1/2) x 12cm x (9+5)cm = 84cm²
Since there are two triangular faces, the total area of the triangular faces is 2 x 84cm² = 168cm².
The area of one rectangular face can be calculated as length x width, where the (length, width) is (13cm, 20cm), (14cm, 20cm) and (15cm, 20cm) = 15 × 20 + 13 × 20 + 14 × 20
= 840cm²
Thus, the total surface area of the triangular prism is the sum of the areas of the two triangular faces and three rectangular faces, which is
168cm² + 840cm² = 1008cm²
Therefore, the total surface area of the triangular prism is 1008cm².
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Which is the best estimate for the percent equivalent of 7/15 21% 22% 46% 47%
Answer: 47%
Step-by-step explanation:
When you divide 7 out of 15 you get .4666666. But rounding to the percent you get 47%.