Devora tested two engines. As each engine's rotation got faster, its temperature increased at a constant rate.

The first engine's temperature (in degrees Celsius) as a function of its rotation speed (in cycles per second) is given by the following table of values:

The Table is for the first engine below
For the second engine, the graph is below

The temperature of which engine increased more for each increase of 1 cycles per second?

Choose 1 answer:


(Choice A)

A

The first engine


(Choice B)

B

The second engine


(Choice C)

C

The temperatures of both engines increased the same


Which engine was hotter when it rotated at 20 cycles per second?

Choose 1 answer:


(Choice A)

A

The first engine


(Choice B)

B

The second engine


(Choice C)

C

Both engines were equally hot

Answer:

Step-by-step explanation:

[tex]slope~of~line~PQ=\frac{11-6}{9-7}=\frac{5}{2}\\slope~of~line~RS,~m2=\frac{4-9}{7-5}=-\frac{5}{2} \\m1 \times m2=\frac{5}{2} \times -\frac{5}{2} =-\frac{25}{4} \neq -1[/tex]

so lines are not perpendicular.

Answer

Is (x+3) 2 becase X *2 + 9 is the similar to (x+3)2

The given expression x² + 9 is equivalent to (x+3i)(x-3i).

Hence option B is correct.

The given expression is,

x² + 9

It is equivalent to (x+3i)(x-3i).

When we expand this expression, we get,

x² - 3ix + 3ix - 9i²

Since i² is equal to -1,

Simplify the expression to x² + 9.

The answer option (A) (x+3i)(x-6i) is not equivalent to x² + 9 as it will result in a last term of -18i² instead of +9i².

Similarly, option (C) (x-3i)² is equal to x² - 6ix + 9i², which is also not equivalent to x² + 9.

Option (D) (x+3i)² will result in x² + 6ix - 9i², which is not equivalent to x² + 9 either.

Therefore, the correct answer to the given expression is,

Option (B) (x+3i)(x-3i).

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Answer:

x=14°

Step-by-step explanation:

(6x + 2°) + (8x + 6°) + (7x + 4°) = 180°

21x + 12° = 180°

21x = 168°

x=14°

Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

∠3 = ∠1

4x = x + 54

Subtract x form both sides

4x - x = x + 54 - x

3x = 54

Divide both sides by 3

3x/3 = 54/3

x = 18

∠1 = x + 54 = 18 + 54 = 72°

4) EFC is straight line

∠CFB +∠BFA +∠AFE = 180°

6x + 2 + 8x + 6 + 7x +4  = 180

6x+ 8x + 7x + 2 + 6 + 4= 180

21x + 12 = 180

21x = 180 - 12

21x = 168

x = 168/21

x = 8

Answer:

The employee doesn't follow the instructions.

Step-by-step explanation:

The instructions are shown in the figure attached.

For large large frappuccino the inequality is:

x ≥ 8

where x is ounces of coffee.

The employee pours 6 ounces of coffee, 6 is less than 8, then the inequality is not satisfied.

Answer:

14

Step-by-step explanation:

Answer:

Im Sure there is 10 different combinations.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: D. 151 degrees.

Step-by-step explanation:

To solve this, first find the interior angle measures of the triangle. We know that it is a right triangle, so the right angle is 90 degrees, and the second angle is 61 degrees.

180 - 90 - 61 = 29 degrees.

Looking at the attached diagram - you can treat the angles surrounding s and 29 as a circle. There are 360 degrees in a circle, so the angle measures in the circle must add up to 360.

We also know that the angle directly opposite the triangle's 29 degree measure is also 29 degrees, so we can make an equation based on this information:

[tex]360 = 2(29) + 2(s)[/tex]

Solve for s:

[tex]360 = 2(29) + 2(s)\\360 = 58 + 2s\\302 = 2s\\s = 151[/tex]

S is equal to 151 degrees.

Answer:

1.8 pounds

Step-by-step explanation:

Take the total price and divide by the price per pound to determine the number of pounds

43.11/23.95 =1.8

Answer:

1

Step-by-step explanation:

He got about 1 pound :)

Answer:

The Civil Rights Act of 1964, which ended segregation in public places and banned employment discrimination on the basis of race, color, religion, sex or national origin, is considered one of the crowning legislative achievements of the civil rights movement

Step-by-step explanation:

Answer:

2250 People

Step-by-step explanation:

P=Total population

P=2000(1+.04)^3years

P=2249.728

P=2250

Answer:

you cant put this equation in standard form

Step-by-step explanation:

Answer:

yes gross margin increased

Step-by-step explanation:

Final answer:

a) Yes, gross margin increased

Switching the menu items resulted in an overall increase in gross margin by $10, as the $60 increase in gross margin from cheeseburger sales exceeded the $50 decrease in gross margin from chicken tenders. Therefore, this was a good move.

Explanation:

To determine whether switching the positions of two menu items was a good move, we should calculate the change in gross margin for both items. Gross margin is calculated as sales minus the cost of goods sold (COGS) and reflects the profitability prior to accounting for operating expenses.

For chicken tenders, the drop in sales from $800 to $600 represents a $200 decrease. With a food cost of 25%, the COGS for chicken tenders would be 25% of sales. Before the switch, the COGS was $200 (25% of $800), and after the switch, it became $150 (25% of $600). This means that the gross margin for chicken tenders decreased by $50 (from $600 to $550).

For cheeseburgers, the increase in sales from $500 to $700 is a $200 increase. The food cost being 20%, we had an initial COGS of $100 (20% of $500) and a new COGS of $140 (20% of $700). Consequently, the gross margin for cheeseburgers increased by $60 (from $400 to $460).

Comparing the two changes in gross margin, the increase for cheeseburgers exceeds the decrease for chicken tenders by $10 ($60 increase for cheeseburgers minus $50 decrease for chicken tenders). Therefore, the overall gross margin increased as a result of the switch.

The answer to the question is: a) Yes, gross margin increased.

Answer:b

Step-by-step explanation: just common sense

To identify the function represented by a graph, one must analyze the slope, intercepts, and shape of the graph. The graph of a constant function is a horizontal line, while the predator-prey cycle would show an oscillating pattern. The potential energy graph in physics can display a double well pattern, while signal transduction might show a cascade over time, and motion graphs represent various types of movement.

Identifying the function represented by a graph involves analyzing various elements such as the shape of the graph, its slope, and intercepts, as well as any restrictions on the domain. For instance, when you come across a graph of a function that appears as a straight line, it's crucial to look at the slope and y-intercept to determine the equation of the line. If the graph is a horizontal line, then the function represents a constant value indicating that no matter the change in the independent variable x, the dependent variable y remains the same.

For analyzing a predator-prey cycle, we need to recognize the typical oscillating pattern that represents populations of predators and preys over time. When interpreting graphs showing potential energy in physics, we are often looking at a function that might show the energy levels as a function of position, with critical points determined by solving relevant equations and considering derivatives to find minima and maxima.

In the context of a biological process such as signal transduction, creating a graph would involve plotting the stages of the signaling pathway over time, which would likely result in a plot showing the cascade of events leading from the signal to the final response. When considering the graphs of the position of a moving object over time, we might see different types of curves representing different types of motion, such as uniform motion depicted by a straight line or accelerated motion depicted by a parabolic curve.

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Answer

the answer is in the picture

Step-by-step explanation:

Answer:

[tex]\frac{2(2-x^2)}{5x}[/tex]

Step-by-step explanation:

Before we can subtract we require the fractions to have a common denominator.

Multiply the numerator/ denominator of the second fraction by x

[tex]\frac{4}{5x}[/tex] - [tex]\frac{2x^2}{5x}[/tex]

Now subtract the numerators leaving the denominator

= [tex]\frac{4-2x^2}{5x}[/tex] = [tex]\frac{2(2-x^2)}{5x}[/tex]

Answer:

700 teens

Step-by-step explanation:

If five out of 7 teens do homework every night

There are 980 teens

How many out of 980 teens would do homework every night?

Firstly divide 980 teens by 7

Which is 980/7=140

Next is,

Out of 7 teens, there are 5 who do homework every night

So, multiply 140 by 5

140×5=700 teens

This means, the reasonable prediction of teens who do homework every night out of 980 is 700 teens

The predicted number of teens who would do homework every night out of 980 is approximately 700 based on the given information.

To predict the number of teens out of 980 who would do homework every night based on the given information that five out of seven teens do homework every night, we can follow these steps:
1. Calculate the proportion of teens who do homework every night:
- Proportion = 5 / 7
2. Determine the expected number of teens out of 980 who would do homework every night:
- Expected number = Proportion * 980
3. Substitute the proportion value to find the expected number:
- Expected number = (5 / 7) * 980
4. Calculate the expected number:
- Expected number = (5 * 980) / 7
5. Simplify the expression:
- Expected number = 700
6. Finally, the predicted number of teens who would do homework every night out of 980 is approximately 700 based on the given information.

Answer: [tex]2\frac{1}{4}[/tex]

Turn 6 2/3 into an Improper Fraction

Multiply [tex]6*3[/tex] and get 18. Now add [tex]2[/tex] and get [tex]20[/tex].

[tex]6\frac{2}{3} =\frac{20}{3}[/tex]

Do Keep Change Flip

Keep: [tex]15[/tex]

Change: ÷ into ×

Flip: 20/3 into 3/20

Your new Problem: [tex]\frac{15}{1} *\frac{3}{20}[/tex]

Multiply

[tex]\frac{15}{1} *\frac{3}{20}=\frac{45}{20}[/tex]

Simplify

[tex]\frac{45}{20} =2.25\\2.25=2\frac{1}{4}[/tex]

Answer:

[tex]2 \frac{5}{20} =2 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]

15 \div 6 \frac{2}{ 3 } \\ \frac{15}{1} \div \frac{20}{3} \\ \frac{15}{1} \times \frac{3}{20} \\ = \frac{45}{20} \\ = 2 \frac{5}{20} = 2 \frac{1}{4} [/tex]

Answer:

B - 18%

Step-by-step explanation:

In the first one he drove about 0.5 miles per second and in the second one he drove about 0.07 miles per second so it gives you about 0.285 i believe

Answer:

20,000 f

Step-by-step explanation:

did he work AND ES

The total amount of volume inside the parking garage which has a tented area with a slanted roof is 20000 ft³.

Volume of triangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a triangular prism is base area (B) times height of it.

[tex]V=B\times h[/tex]

The volume of a rectangular prism is the product of its width, height and length.

[tex]V=w\times h\times l[/tex]

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A rectangular prism and a triangular prism. The rectangular prism has a length of 40 feet, width of 15 feet, and height of 20 feet.  The volume of this prism is,

[tex]V=20\times15\times40\\V=12000\rm\;ft^3[/tex]

The triangular prism has a triangular base, with base 20 feet and height 20 feet. The prism has a height of 40 feet. The volume of this prism is,

[tex]V=\dfrac{20\times20}{2}\times40\\V=8000\rm\;ft^3[/tex]

Total volume of the parking area is,

[tex]V=12000+8000\\V=20000\rm\; ft^3[/tex]

Thus, the total amount of volume inside the parking garage which has a tented area with a slanted roof is 20000 ft³.

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Answer:

A.   2,552,129 m^3.

Step-by-step explanation:

Volume of a pyramid = 1/3 * height * area of the square base

=  1/3 * 146 * 229^2

= 2552129 m^3.

The correct answer of A. B. and C. was

B. If it isn't then my calculations are wrong.

Answer: 1) Check if the inputs and outputs doesn't fail the vertical line test. 2) Check if every input has exactly on output. 3) Check if is a linear function.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The two angles are complementary so the sum is 90 degrees

7a+12 + 12+a = 90

Combine like terms

8a +24 = 90

Either equation would work to describe the relationship

Answer:

0.1384

Step-by-step explanation:

Using binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Given n = 25, r = 4, p = 0.10, and q = 0.90:

P = ₂₅C₄ (0.10)⁴ (0.90)²⁵⁻⁴

P = 12650 (0.10)⁴ (0.90)²¹

P = 0.1384

Answer:

1,00000,00,00

Step-by-step explanation:

The digits 46987 can be arranged in 120 unique combinations using the permutation formula 5! (5 factorial), accounting for all possible orders of these digits.

While organizing the digits 46987, there are 120 unmistakable mixes conceivable. Still up in the air by ascertaining the factorial of the quantity of digits (5!), yielding 120. Every game plan brings about a remarkable mix. For instance, 46987, 78694, and 98746 are among the changed stages.

The idea of changes has expansive applications, going from arithmetic to software engineering, where request matters. In combinatorics, the investigation of counting and game plan, changes assume an essential part. These 120 mixes grandstand the adaptability of revamping only five digits.

Showing the dramatic development in potential outcomes as the quantity of digits increments. This numerical standard impacts fields like cryptography, where producing one of a kind successions is significant for security. Generally, the changes of 46987 outline the charming and strong parts of numerical control and request.

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A. 250 students need to go to the water park for them to pay 6 dollars each.

B. Yes, the park can hold enough since there would be 428 students renting for 3.50 each.

Please mark me brainliest! <3

Answer:

Probability of both digits being the same is a likely outcome (A) and;

The first digit is greater than the second digit is equally likely as the first digit less than the second digit (C)

Step-by-step explanation:

Question:

Ross forms all two-digit whole numbers using digits 1, 2, and 3. He allows digits to repeat. Select statement(s) that are CORRECT. *

a) probability of both digits being the same is a likely outcome

b) the probability that a number includes the digit 2 only once is 5/9

c) The first digit is greater than the second digit is equally likely as the first digit less than the second digit

d) 23 is an unlikely outcome

SOLUTION

Find attached how I got the value combination.

Forming a two-digit whole number with digit 1,2 and 3 where repetition is allowed:

11, 12, 13, 21, 22, 23, 31, 32, 33

Let's check which of the options are correct.

a) Is probability of both digits being the same is a likely outcome?

From the numbers we got: 11, 22 and 33 have both digits the same.

Yes, the probability is a likely outcome

Option A is correct

b) Let the probability that a number includes the digit 2 only once = Pr( 2 only once)

Pr( 2 only once) = (digits which have number 2 once / total number)

12, 21, 23, 32

Digits which have number 2 once = 4

Total = 9

Pr( 2 only once) = 4/9

4/9 is not same as 5/9

So option B is wrong

c)The first digit is greater than the second digit = 21, 31, 32 = 3 in total

the first digit less than the second digit = 12, 13, 23 = 3 in total

Yes, they are equal in number

Option C is correct

d) 23 is a likely outcome

Option D is wrong