Please select the correct answer from the group of answer choices for each part of the question:
1a. Consider the computing load of a sum of 100 scalar variables and one matrix subtraction of a pair of two-dimensional array with dimensions 100x100. Assume the matrix subtraction is fully parallelizable, calculate the speedup using 100 processors assuming 10 processors carry 20% of the load and the rest load is shared among the rest 90 processors evenly?
A: 101/3
B: 101/2
C: 101
D: 100
1b: For the following vector MIPS code DAXPY which performs Y=a x X+Y, fill the two blank instructions.
L.d $f1, a($sp) ;load scalar a
Lv $v0, 0($s0) ;load vector x
__________________ ;vector-scalar multiply
Lv $v2, 0($s1) ;load vector y
___________________ ;add y to product
Sv $v3, 0($s1) ; store the result
A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
B:
mulvs.d $v1, $v0, $f1
addv.d $v3, $v1, $v2
C:
mul.d $v2, $v0, $f1
add.d $v3, $v1, $v2
D:
mulvs.d $v2, $v0, $f1
addv.d $v3, $v1, $v2
1c. Which of the following statement is incorrect?
A: Both multithreading and multicore rely on parallelism to get more efficiency from a chip.
B: In coarse-grained multithreading, switching between threads only happens after significant events such as last-level cache miss.
C: In fine-grained multithreading, switching between threads happens after every instruction.
D: Simultaneous multithreading (SMT) uses threads to improve resource utilization of statically scheduled processor.
1d. In the roofline model, the attainable GFLOPs/sec is set by _____?
A: Peak Memory BW x Arithmetic Intensity
B: Peak Floating-Point Performance
C: Min (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)

Answer:0

Step-by-step explanation: You decreased by 4 means subtracting 4 from it.

Hope this helps!

Therefore, The density of air enclosed in a sphere with a radius halved will be 9.6 kg/m3. This is because the volume reduces by a factor of 8, resulting in an increase in density by a factor of 8.

When the radius of the sphere is halved, the volume of the sphere reduces by a factor of 8. Since the mass of the air enclosed remains constant, the density of the air within the sphere will increase by a factor of 8. Therefore, the density of the air within the sphere will be 9.6 kg/m3 after compression.
The density of the air enclosed within a sphere is given as 1.2 kg/m3. When the radius of the sphere is halved, the volume of the sphere reduces by a factor of 8 (since volume is proportional to the cube of radius). However, the mass of the air enclosed remains constant. Therefore, the density of the air within the sphere will increase by a factor of 8, resulting in a new density of 9.6 kg/m3.


Therefore, The density of air enclosed in a sphere with a radius halved will be 9.6 kg/m3. This is because the volume reduces by a factor of 8, resulting in an increase in density by a factor of 8.

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Answer:

b=6/5

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Since pink dots is the highest(30) and Purple is second highest so purple must be close to 30.

The requried, height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
Since the vertical axis of the bar graph is marked off in percentages, we can determine the height of each bar by multiplying its frequency by 2, since 50 students were surveyed (i.e., 100% of the sample size).

The frequency of the purple color pattern is 11, so its height on the bar graph is 11*2 = 22.

Therefore, the height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

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The amount of water that should be mixed with 18 liters of 14% bleach solution to form 10% bleach solution is 7.2 liters.

The amount of water should be mixed with 1 liter of 14% bleach solution,

we know that the water will have 0% bleach. thus, the amount of water we need to mix with the 14% bleach solution is (2/5) liters.

Therefore, the ratio of water and bleach solution can be written as,

\(\rm \dfrac{14\%\ solution}{Water} = \dfrac{5}{2}\)

We know the ratio of water and bleach solution that should be mixed to form a 10% concentration bleach is (5/2), therefore, we will use the same ratio,

\(\rm \dfrac{14\%\ solution}{Water} = \dfrac{5}{2}\)

\(\rm \dfrac{18}{Water} = \dfrac{5}{2}\\\\\rm {Water} = \dfrac{18\times 2}{5}\\\\\rm Water = 7.2\ liters\)

Hence, the amount of water that should be mixed with 18 liters of 14% bleach solution to form 10% bleach solution is 7.2 liters.

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The equation 3x³ + 9x - 6 = 0 has one actual rational root, which is x = 1/3.

To apply the Rational Root Theorem to the equation 3x³ + 9x - 6 = 0, we need to consider the possible rational roots. The Rational Root Theorem states that any rational root of the equation must be of the form p/q, where p is a factor of the constant term (in this case, -6) and q is a factor of the leading coefficient (in this case, 3).

The factors of -6 are: ±1, ±2, ±3, and ±6.

The factors of 3 are: ±1 and ±3.

Combining these factors, the possible rational roots are:

±1/1, ±2/1, ±3/1, ±6/1, ±1/3, ±2/3, ±3/3, and ±6/3.

Simplifying these fractions, we have:

±1, ±2, ±3, ±6, ±1/3, ±2/3, ±1, and ±2.

Now, we can test these possible rational roots to find any actual rational roots by substituting them into the equation and checking if the result is equal to zero.

Testing each of the possible rational roots, we find that x = 1/3 is an actual rational root of the equation 3x³ + 9x - 6 = 0.

Therefore, the equation 3x³ + 9x - 6 = 0 has one actual rational root, which is x = 1/3.

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Answer:

1.05821886 ounces

Step-by-step explanation:

To convert 30 grams to ounces, use the conversion factor 1 ounce = 28.3495 grams.

Answer:

108 in.

Step-by-step explanation:

SA = 2(lw + wh + lh)

SA = 2((6)(4) + (4)(3) + (6)(3)

SA = 2(24) + (12) + (18)

SA = 2(54)

SA = 108 in.

Answer:

108

Step-by-step explanation:

A fully grown adult shark weighs 1.9375 pounds.

Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.

Given that, Scientists have discovered a new glow in the dark shark species that weighs up to 31 ounces when fully grown.

We know that 1 pound =16 ounce

Now, 31 ounces = 31/16 pounds

= 1.9375 pounds

Therefore, a fully grown adult shark weighs 1.9375 pounds.

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Answer:

1 1/4 cups

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

The solution to the given equation is : (-∞,4)

According to the question we have been given the inequality equation as

             \(\frac{3}{4}\) (x + 8) > \(\frac{1}{2}\)(2x + 10)

We will solve this for x step by step

  multiplying both the sides by 4 and 2 we get

       6(x+8) > 4(2x+10)

dividing both the sides by 2 we get

      3(x+8) > 2 (2x + 10)

      3x + 24 > 4x + 20

Taking the variables on one side we get

     3x - 4x > 20 - 24

       -x > -4

multiplying both the sides by -1 we get

       x < 4

Hence the solution is (-∞,4)

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Answer:

x = - 10, x = - 6

Step-by-step explanation:

x² + 16x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)

The factors are + 10 and + 6 , since

10 × 6 = 60 and 10 + 6 = 16 , then

(x + 10)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x + 6 = 0 ⇒ x = - 6

The p-value is the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution when running a t-test with equal variances in Excel.

When running a t-test with the assumption of equal variances in Excel, the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution is the p-value.

In Excel, the p-value is calculated using the T.TEST function, which returns the probability associated with a Student's t-test. The function requires the input of two sets of data for the two samples being compared. By comparing the calculated t-value to the t-distribution, the function determines the probability (p-value) of observing such extreme differences between the means of the two samples under the null hypothesis.

The p-value represents the probability of obtaining a t-value as extreme as the one observed, assuming the null hypothesis is true (i.e., there is no significant difference between the means of the two samples). If the p-value is smaller than a chosen significance level (e.g., 0.05), it indicates that the observed difference is statistically significant, and we reject the null hypothesis in favor of an alternative hypothesis.

In summary, the p-value is the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution when running a t-test with equal variances in Excel.

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Answer:

  45

Step-by-step explanation:

You want the number described by, "twice the sum of a number and 9 is equal to three times the difference of the number and 9."

Let x represent the number. Then "twice the sum of the number and 9" is ...

  2(x +9)

and "three times the difference of the number and 9" is ...

  3(x -9)

These are equal, so we have ...

  2(x +9) = 3(x -9)

Eliminating parentheses gives ...

  2x +18 = 3x -27

  45 = x . . . . . . . . . . . add 27-2x

The number is 45.

For all invertible n×n matrices a and b, the formula ABA^-1 = B holds, while the formula (I-A)(I+A) = I - A^2 does not hold in general.

The formula ABA^-1 = B holds for all invertible n×n matrices a and b. When we multiply a matrix by its inverse and then multiply the result by the original matrix, the intermediate multiplication by the inverse effectively cancels out the original matrix's effect. Therefore, the resulting matrix is simply the second matrix, b. This property holds true for any invertible matrices a and b, regardless of their size.

On the other hand, the formula (I-A)(I+A) = I - A^2 does not hold in general. Here, I represents the identity matrix. While this formula might hold for specific matrices a, it is not universally valid for all invertible n×n matrices. In general, the product of (I-A)(I+A) will not simplify to I - A^2. The difference between the two sides of the equation is the term A^2, which does not always cancel out in this case. Therefore, we cannot conclude that this formula holds for all invertible n×n matrices a.

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The average speed on the winding road was 45 mph.

The bus traveled for 3 hours on the winding road, so the distance covered can be calculated using the formula: Distance = Speed × Time. Let's assume the average speed on the winding road as 'x' mph. Therefore, the distance covered on the winding road is 3x miles.

On the straight road, the bus traveled for 3 hours at an average speed that was 12 mph faster than its average speed on the winding road. So the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. Therefore, we can write the equation:

3x + 3(x + 12) = 210

Simplifying the equation:

3x + 3x + 36 = 210

6x + 36 = 210

6x = 174

x = 29

So the average speed on the winding road was 29 mph.

The problem states that the bus traveled for 3 hours on both the winding road and the straight road. Let's assume the average speed on the winding road as 'x' mph. Since the bus traveled for 3 hours on the winding road, the distance covered can be calculated as 3x miles.

On the straight road, the average speed was 12 mph faster than on the winding road. Therefore, the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. This allows us to set up the equation 3x + 3(x + 12) = 210 to solve for 'x'. Simplifying the equation leads to 6x + 36 = 210. Solving for 'x', we find that the average speed on the winding road was 29 mph.

In summary, the average speed on the winding road was 29 mph.

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Answer:

P(A) = 5/12

P(B) = 1/2

Step-by-step explanation:

A) Sum greater than 7

If the sum needs to be >7, then it can be 8, 9, 10, 11, and 12.

There are 26 out of 36 events where the sum is >7, thus P(A) = 15/36 = 5/12.

B) Sum is even

If we see in an overview of the sum distribution, there is a balanced division between odd and even numbers, thus the probability is very likely to be 1/2. Now let's make sure of it:

If the sum needs to be even, which means divisible by 2, then it can be 2, 4, 6, 8, 10, and 12.

There are 18 out of 36 events where the sum is even, thus P(B) = 18/36 = 1/2.

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Answer:

Its d!!!!!! Welcome!

Step-by-step explanation:

Answer:

320

Step By Step Explanation!-

Answer:

72

Step-by-step explanation:

80x.90= 72

Answer:

72 is your answer

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

12

Step-by-step explanation:

2*126=252

252/21=12

Answer:

  10.)  -46 -38i

  11.)  12 +8i

Step-by-step explanation:

You want the products (2+6i)(-8+5i) and 4i(2-3i) expressed in standard form.

An expression containing i can be expanded or simplified by treating i the same as any other variable. All instances of i² can be replaced by -1.

  (2 +6i)(-8 +5i) = (2)(-8) +2(5i) +(6i)(-8) +(6i)(5i)

  = -16 +10i -48i +30i² . . . . . . i² = -1

  = -46 -38i

  4i(2 -3i) = (4i)(2) +(4i)(-3i) = 8i -12i²

  = 12 +8i . . . . . . . i² = -1

Answer:

slope = \(\frac{1}{5}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )

m = \(\frac{5-6}{4-9}\) = \(\frac{-1}{-5}\) = \(\frac{1}{5}\)