A baker is making rolls. He has 20 pounds of dough. Each roll is made from 1/8
pounds of dough. How many rolls can he make?

Answer:

Width of Teacher desk = 30 in

Step-by-step explanation:

Given:

Length of student desk = 30 in

Width of student desk = 18 in

Length of teacher desk = 50 in

Find:

Width of Teacher desk

Computation:

Assume,

Width of Teacher desk = x

Teacher desk is similar to student desk

Length of student desk / Width of student desk = Length of teacher desk /  Width of Teacher desk

30 / 18 = 50 / x

x = [(50)(18)] / 30

Width of Teacher desk = 30 in

The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.

The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).

Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.

In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.

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The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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Answer:

15

Step-by-step explanation:

Use PEMDAS for this:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

-4(3-5)+10-3(7+4)+30 ​= -4(-2)+10-3(11)+30

-4(-2)+10-3(11)+30 = 8+10-33+30

8+10-33+30 = 18-33+30

18-33+30 = -15+30

-15+30 = 15

The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

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Answer:

m=7

Step-by-step explanation:

Your Welcome :)

If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6\(C_2\) = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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Answer: B,D,E on usatestprep

Step-by-step explanation:

The cost of materials for the least expensive container cannot be determined without specific information about the container's dimensions, construction materials, and market prices.

To determine the cost of materials for a container, we need additional information such as the dimensions, construction materials, and market prices. The cost of materials will vary depending on factors such as the type of material used (plastic, metal, wood, etc.), the thickness of the material, and any additional features or components required for the container.

For example, if we consider a simple rectangular container made of plastic, we would need to know the dimensions of the container (length, width, and height) to calculate the surface area that needs to be covered by the material. We would then need to multiply the surface area by the cost per unit area of the specific type of plastic being used.

Similarly, if the container is made of metal, we would need to know the dimensions and the type of metal (steel, aluminum, etc.) to calculate the surface area and multiply it by the cost per unit area of that metal.

Without these specific details, it is not possible to determine the exact cost of materials for the least expensive container.

The cost of materials for the least expensive container cannot be determined without knowing the specific dimensions, construction materials, and market prices. The cost will vary based on these factors, and without them, it is not possible to provide an accurate estimation.

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Answer:

180000

Step-by-step explanation:

18000 i think tell me of im wrong

Answer:

Step-by-step explanation:

Let the time be x

Sunnyville's community pool volume

Oceanview's Community Pool volume

They become equal after x seconds:

Answer:

10s

Step-by-step explanation:

I had the question

Step-by-step explanation:

Step 1: Setting Up the Factors

Our roots are 3, 2, and -4 so

our factors are

\((x - 3)(x - 2)(x + 4)\)

Step 2: Initial Test to see if the result equal 30

Let a be a constant, such we have

\(a(x - 3)(x - 2)(x + 4) = 30\)

Plug in. 1 for x.

\(a(1 - 3)(1 - 2)(1 + 4) = 30\)

\(a( - 2)( - 1)(5) = 30\)

\(a(10) = 30\)

\(a = 3\)

So our equation is

\(3(x - 3)(x - 2)(x + 4)\)

Or if you want it simplifed

\(3( {x}^{2} - 5x + 6)(x + 4) = 3( {x}^{3} + - {x}^{2} - 14x + 24) = 3 {x}^{3} - 3 {x}^{2} - 42x + 72\)

Answer:

\(f(x)=3(x-3)(x-2)(x+4)\)

Step-by-step explanation:

General form of a cubic polynomial function with 3 roots:

\(f(x)=a(x-b)(x-c)(x-d)\)

where:

Given roots:

Substitute the given roots into the general form of the function:

\(\implies f(x)=a(x-3)(x-2)(x-(-4))\)

\(\implies f(x)=a(x-3)(x-2)(x+4)\)

To find the value of a, substitute the given point (1, 30) into the equation:

\(\begin{aligned} f(1) & = 30\\\implies a(1-3)(1-2)(1+4) & =30\\a(-2)(-1)(5) & = 30 \\10a & = 30\\\implies a & = 3 \end{aligned}\)

Therefore, the equation of the cubic polynomial function is:

\(f(x)=3(x-3)(x-2)(x+4)\)

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Answer:

Brainliest!

Step-by-step explanation:

30+8

=38

16/2 = 8

Answer:

38

Step-by-step explanation:

16/2 = 8

30 + 8 = 38

Point C

Hope This helps!! : }

The point D represents the product of the three integers.

Number line is defined as the straight line drawn horizontally where the integers are placed at an equally spaced way.

Integers includes natural numbers, 0 and negative of the natural numbers.

Given is the three numbers 5, -2 and -1.

We have to find the product of these three numbers.

When multiplying integers, negative multiplied to negative and positive multiplied to positive gives positive. If one of the number is negative and other is positive, then the result is negative.

(5) (-2) (-1) = (5 × -2) (-1)

                = (-10) (-1)

                = 10

Hence the product of the three integers 5, -2 and -1 is 10 which is marked as point D on the number line.

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Answer:

\(110cm^{3}\)

Step-by-step explanation:

\(50cm^{3} + 60cm^{3} = 110cm^{3}\)

The volume of an object stays the same no matter how you shape it, so the volume of the new sphere is the sum of the volume of the two metal spheres assuming that nothing is lost during the process of creating the new sphere.

Step-by-step explanation:

0.125 ÷12 = 1/96

1/96 x 4 =1/24

or

0.125÷3=1/24 because 4x3=12

Answer:

x = 3.1622776

Step-by-step explanation:

Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

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The value of x is 30 finding by using arithmetic operations.

Further, for the x-day period,

Pizza days

\(= x days \times (3 days out of total of 5 days) \\= x days \times \frac{3}{5} \\= \frac{3x}{5} days\)

similarly

Sandwich days = x days (2 days out of total of 5 days) \(=\frac{2x}{5}\) days

If total pizza days = total sandwich days, then

\(18+ \frac{3x}{5} = 24+ \frac{2x}{5}\)

subtract \(\frac{2x}{5}\) from each side

\(18+ \frac{3x}{5}- \frac{2x}{5} = 24\\ \Rightarrow 18 + \frac{x}{5} = 24\)

subtract 18 from each side,

\(18-18 + \frac{x}{5} = 24-18 \\\Rightarrow \frac{x}{5} = 24-18 = 6 \\\Rightarrow x=5 \times 6=30\)

Check:

Pizza days = 18+30\(\times \frac{3}{5}\) = 36 days

Sandwich days = 24 + 30\(\times \frac{2}{5}\) = 24+12 = 36 days

The value of x Over 42 days, Dave had pizza 3 times for every 4 times he had a sandwich." 3=number of pizza days in a week.

so over 42 days, there are 6 weeks, so there are 6*3=18 pizza days.

If we calculate differently,

put Pizza days (out of 42) = (42/7)[# of weeks] * 3 [ pizza days / week]

which is the same as 42 days * (3/7) number of pizza days per 7 days.

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The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.

The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.

Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.

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Answer:

3.2×10^-7 hope this will be of help

The coordinates when graphed will produce a quadrilateral labeled like int he attached image.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Coordinates are ordered pairs that are used to fix a location on a graph. The coordinates (x, y) are used to plot a point. The x value represents horizontal movement from the origin along the x-axis, while the y value represents vertical movement along the y-axis.

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Answer:

5/6 or .83

Step-by-step explanation:

ok

Measures base = 3cm

height = 4cm

tall = x

volume = 144 cm^3

Volume = Area of the base * tall

Area of the base = (3 * 4) / 2 = 12/2 = 6 cm^2

144 = 6*x

x = 144/6

x = 24 cm

Result: The chocolate is 24 cm tall.

Answer: 7.5 batches

Step-by-step explanation:

60/6 is 10, so she needs to make 10 batches in total.

10-2.5=7.5

Answer:

no. of muffins = 60 muffins

no of muffins in each batch = 6 muffins

no. of batches which got over = 2.5 batches

no. of muffins baked = 6 * 2.5 = 15

no. of muffins to be baked = 60 - 15 = 45

no. of batches required to bake 45 muffins = 45 / 6 = 7.5

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Answer:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.

Answer:

Answer is (1,3,5,6,7,9)