(9 * 6) * 1 = 3 operations

Answer:

297 J

Step-by-step explanation:

The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of

1 g

of a given substance by

1

∘

C

.

In your case, aluminium is said to have a specific heat of

0.90

J

g

∘

C

.

So, what does that tell you?

In order to increase the temperature of

1 g

of aluminium by

1

∘

C

, you need to provide it with

0.90 J

of heat.

But remember, this is how much you need to provide for every gram of aluminium in order to increase its temperature by

1

∘

C

. So if you wanted to increase the temperature of

10.0 g

of aluminium by

1

∘

C

, you'd have to provide it with

1 gram



0.90 J

+

1 gram



0.90 J

+

...

+

1 gram



0.90 J



10 times

=

10

×

0.90 J

However, you don't want to increase the temperature of the sample by

1

∘

C

, you want to increase it by

Δ

T

=

55

∘

C

−

22

∘

C

=

33

∘

C

This means that you're going to have to use that much heat for every degree Celsius you want the temperature to change. You can thus say that

1

∘

C



10

×

0.90 J

+

1

∘

C



10

×

0.90 J

+

...

+

1

∘

C



10

×

0.90 J



33 times

=

33

×

10

×

0.90 J

Therefore, the total amount of heat needed to increase the temperature of

10.0 g

of aluminium by

33

∘

C

will be

q

=

10.0

g

⋅

0.90

J

g

∘

C

⋅

33

∘

C

q

=

297 J

I'll leave the answer rounded to three sig figs, despite the fact that your values only justify two sig figs.

For future reference, this equation will come in handy

q

=

m

⋅

c

⋅

Δ

T

, where

q

- the amount of heat added / removed

m

- the mass of the substance

c

- the specific heat of the substance

Δ

T

- the change in temperature, defined as the difference between the final temperature and the initial temperature of the sample

The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of

1 g

of a given substance by

1

∘

C

.

In your case, aluminium is said to have a specific heat of

0.90

J

g

∘

C

.

So, what does that tell you?

In order to increase the temperature of

1 g

of aluminium by

1

∘

C

, you need to provide it with

0.90 J

of heat.

But remember, this is how much you need to provide for every gram of aluminium in order to increase its temperature by

1

∘

C

. So if you wanted to increase the temperature of

10.0 g

of aluminium by

1

∘

C

, you'd have to provide it with

1 gram



0.90 J

+

1 gram



0.90 J

+

...

+

1 gram



0.90 J



10 times

=

10

×

0.90 J

However, you don't want to increase the temperature of the sample by

1

∘

C

, you want to increase it by

Δ

T

=

55

∘

C

−

22

∘

C

=

33

∘

C

This means that you're going to have to use that much heat for every degree Celsius you want the temperature to change. You can thus say that

1

∘

C



10

×

0.90 J

+

1

∘

C



10

×

0.90 J

+

...

+

1

∘

C



10

×

0.90 J



33 times

=

33

×

10

×

0.90 J

Therefore, the total amount of heat needed to increase the temperature of

10.0 g

of aluminium by

33

∘

C

will be

q

=

10.0

g

⋅

0.90

J

g

∘

C

⋅

33

∘

C

q

=

297 J

I'll leave the answer rounded to three sig figs, despite the fact that your values only justify two sig figs.

For future reference, this equation will come in handy

q

=

m

⋅

c

⋅

Δ

T

, where

q

- the amount of heat added / removed

m

- the mass of the substance

c

- the specific heat of the substance

Δ

T

- the change in temperature, defined as the difference between the final temperature and the initial temperature of the sample

In your case, aluminium is said to have a specific heat of

0.90

J

g

∘

C

.

So, what does that tell you?

Answer:

(0,-3)

Step-by-step explanation:

(-3,2) reflected over the line y=1 is (-3,0)

Now rotated 90 degrees over what, and in which direction?

Im going to assume that the rotation is counter clockwise over the origin because that is standard when not mentioned. ¯\_(ツ)_/¯

That would be: (0,-3)

Yw! :D

Answer:

y: -5, -2, 1, 4, 7

Step-by-step explanation:

just search for a graphing calculator to see the table or drawn out version of the graph. (i used desmos graphing calc)

It will take 14.02 weeks for both the accounts to have the same balance

Bank account balance of Rhiannon = -$253.50

Money deposited by Rhiannon in the bank account each week = $35.80

Bank account balance of Sophie = -$78.25

Money deposited by Sophie in the bank account each week = $23.30

Let the number of weeks it takes to have the same account balance be x, therefore formulating the algebric equation we get:

Bank balance of Rhiannon + Money deposited by her each week*No of weeks it will take for the balance to be equal = Bank balance of Sophie + Money deposited by her each week*No of weeks it will take for the balance to be equal

= -253.5 + 35.8(x)  = -78.25 + 23.3(x)

= -175.25 = -12.5(x)

x =  14.02 weeks

Therefore, it will take 14.02 weeks for both the accounts to have the same balance

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Answer:

m=4 and c=-1

Step-by-step explanation:

I'm assuming that m is the slope and c is the y-intercept. (If this is not the case, please tell me and I'll fix my answer).

The equation is already in the form y=mx+c so you just take the numbers from the problem y=4x-1.

Answer:

m = 4    c=-1

Step-by-step explanation:

The slope form is y = mx + b.

M is the slope which is 4.

B is the y=intercept which is -1.

Yes, Mark is correct he believes that doubling one of the dimensions would double the volume of his toolbox.

Volume refers to the space occupied by a 3-Dimensional space. The volume of a cuboid is given by:

V = l * b * h

where l is the length

b is the breadth

h is the height

V = 9 * 6 * 7

= 378 cubic inches

If we double any of the dimensions, like

By doubling the 9 we get

V = 18 * 6 * 7

= 756 cubic inches

By doubling the 6 we get

V = 9 * 12 * 7

= 756 cubic inches

By doubling the 7 we get

V = 9 * 6 * 14

= 756 cubic inches

Then the volume of the toolbox is doubled as shown above.

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The coefficient of determination is 0.588 and the percentage of the total variation is 58.8%.

The coefficient of determination (r^2) refers to a measurement used to explain how much variability of one variable can be caused by its relationship to another related variable. It is the fit of goodness and measures how well a statistical model fits the observed data and is a number between 0 and 1. When the value of linear correlation coefficient r is known, the coefficient of determination can be computed simply by squaring r.

Hence if r = 0.767, then the coefficient of determination = r^2 = 0.588

As percentage of the total variation is same as the coefficient of determination (given in percentage) and is given by the R² value = 58.8%. Hence, about 58.8% of variation is explained by the linear relationship between the two variables.

Note: The question is incomplete. The complete question probably is: Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.767.

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To write this distance in scientific notation, we can express it as:

\(1.08\) × \(10^8 km\)

Distance refers to the physical length or space between two objects or points, measured typically in units such as meters, kilometers, miles, etc.

Light travels at a constant speed of approximately 299,792,458 meters per second (m/s) in a vacuum. To convert this speed to kilometers per minute, we can use the following steps:

Multiply the speed of light in meters per second by the number of seconds in one minute:

299,792,458 m/s × 60 seconds/minute = 17,987,547,480 m/minute

Convert this distance from meters to kilometers by dividing by 1,000:

17,987,547,480 m/minute ÷ 1,000 = 17,987,547.48 km/minute

Therefore, light travels approximately 17.99 million kilometers per minute.

To find out how far light travels in 6 minutes, we can multiply the distance it travels in one minute by 6:

17,987,547.48 km/minute × 6 minutes = 107,925,284.88 km

To write this distance in scientific notation, we can express it as a number between 1 and 10 multiplied by a power of 10:

107,925,284.88 km = 1.0792528488 × \(10^8 km\)

Rounding this to two significant figures gives:

\(1.08\) × \(10^8 km\)

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Answer: The greatest number of cards you can place each packet = 3

There would be 7 packets of baseball cards and 4 packets of football cards.

Step-by-step explanation:

Given: Number of baseball cards =21

Number of  football cards = 12

Each packet will have the same number of cards.

Each packet will have the cards for only one sport.

Then, the greatest number of cards you can place each packet  = GCD (21,12) i.e. greatest common divisor of 21 and 12

Since 21 = 3 x 7 and 12 = 2 x2 x3

so, GCD(21, 12)=3

So, the greatest number of cards you can place each packet = 3

Number packets of baseball cards  = \(\dfrac{21}{3}=7\)

Number packets of football cards = \(\dfrac{12}{3}=4\)

So, there would be 7 packets of baseball cards and 4 packets of football cards.

The given statement "two common tolerance zones of a perpendicularity tolerance are two parallel planes or a cylinder" is true because Perpendicularity tolerance is a geometric tolerance that is used to control the orientation of a feature relative to a datum.

It ensures that a feature is perpendicular to a specified datum plane or axis within a certain tolerance zone. There are two types of tolerance zones for perpendicularity: a pair of parallel planes and a cylinder. The parallel plane tolerance zone consists of two parallel planes that are perpendicular to the datum plane or axis.

The feature must lie between these two planes within the specified tolerance limit. The cylinder tolerance zone, on the other hand, consists of a cylinder that is coaxial with the datum axis. The feature must lie within the cylinder and be perpendicular to the axis within the specified tolerance limit.

Perpendicularity tolerance is essential in ensuring the proper fit and function of parts in a machine or assembly. Without it, parts may not fit together properly, causing problems such as misalignment, binding, or excessive wear.

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find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

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Answer:

3,975.16 United States Dollar

Step-by-step explanation:

Answer:

I believe this is the answer you are looking for:

x3-6x2-7x

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Because after math is that the 79$ one goes down to 63.2 and the 85$ one goes down to 63.75. So the best deal would be A.

Answer:

-10x (1 - y)

Step-by-step explanation:

Given :-

Side 1 = (2x + 5xy)

Side 2 = (-7x - 10xy)

To Find :-

Perimeter

Formula :-

Perimeter (rectangle) = 2 (Side 1 + Side 2)

Solving :-

Perimeter = 2 (2x + 5xy - 7x - 10xy)

= 2 (-5x - 5xy)

= -10x (1 - y) => [Solution]

Step-by-step explanation:

perimeter: 2 (2x+ 5xy+(-7x-10xy)

= 2(2x+5xy-7x-10xy)

= 4x+10xy-14x-20xy

= -10x-10xy

= -10x(1+y).

Answer: -10x(1+y)

6 feet 7 inches

1 feet = 12 inches

6 feet = 6(12) = 72 inches

6 feet 7 inches = 72 + 7 = 79 inches

Answer:

79 inches

Answer:

what language is that??

Step-by-step explanation:

Answer:

B. 0

Step-by-step explanation:

The slope of a straight horizontal line is always equal to 0.

To support the above statement, we can show working out:

m = slope of the line

m = ( y1 - y2 ) / ( x1 - x2 )

Two points on line = ( 0 , - 2 ) , ( 1 , - 2 )

y1 = - 2

y2 = - 2

x1 = 0

x2 = 1

m = [ ( - 2 ) - ( - 2 ) ] / [ ( 0 ) - ( 1 ) ]

m = ( - 2 + 2 ) / ( 0 - 1 )

m = 0 / - 1

m = 0

The y values on a horizontal line will always be the same. When calculating the subtraction of y values in the numerator of the formula for the slope of a line, a number subtracted by itself will always equal to 0. 0 divided by any number will always equal to 0. Hence, the slope of a straight horizontal line will always equal to 0.

If you can choose one item from a group of m items and a second item from a group of n items, then the total number of two-item choices is m x n.

The total number of two-item choices that can be made when one item is chosen from a group of m items and a second item is chosen from a group of n items is given by the product of the number of choices for the first item and the number of choices for the second item.

The number of choices for the first item is m since there are m items to choose from in the first group, and the number of choices for the second item is n since there are n items to choose from in the second group.

Therefore, the total number of two-item choices is given by m x n. For example, if there are 4 items in the first group and 5 items in the second group, then the total number of two-item choices is 4 x 5 = 20.

This formula for finding the total number of two-item choices can be extended to larger groups of items as well. For instance, if there are three groups of items with sizes m, n, and p, then the total number of three-item choices is given by m x n x p.

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Explanation:

The scale factor 3/2 is the same as 1.5

We multiply this by the perimeter 18 to get 18*1.5 = 27

The perimeter is 27 units.

This trick works because we're multiplying each length by 1.5, so ultimately the perimeter is multiplied by this same scale factor.

Answer:

every function is a relation, but every relation is not function.

Answer: B

Answer:

bru its was in my head now its gone

Step-by-step explanation:

The expected profit of the proposal to open the online gambling business is $2,860,000.

To calculate the expected profit of the proposal to open the online gambling business, we need to consider the probabilities and associated profits for each scenario.

The base scenario is that the business generates $8 million in profit each year, which has a probability of 100% - (5% + 2%) = 93%.

The first exception scenario is that the business is wildly successful and generates $26 million in profit each year, which has a probability of 5%.

The second exception scenario is that the business is found to be illegal, resulting in a total loss of $294 million, which has a probability of 2%.

To calculate the expected profit, we multiply each scenario's profit by its probability and sum them up:

Expected profit = (0.93 * $8,000,000) + (0.05 * $26,000,000) + (0.02 * -$294,000,000)

Expected profit = $7,440,000 + $1,300,000 - $5,880,000

Expected profit = $2,860,000

Therefore,  expected profit of the proposal to open online gambling business is $2,860,000.

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Answer:

y = \(\frac{2}{3}\) x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3y - 2x = 9 ( add 2x to both sides )

3y = 2x + 9 ( divide through  by 3 )

y = \(\frac{2}{3}\) x + 3 ← in slope- intercept form

(a) (A∪B)^c represents the complement of the union of sets A and B. It consists of all values in Ω that do not belong to either A or B. (b) A∪B^c represents the union of set A and the complement of set B. It includes elements that are either in A or not in B.

(c) (A∩B^)c represents the complement of the intersection of set A and the complement of set B. It includes elements that are not common to both A and the complement of B.

(a) (A∪B)^c: This set represents the complement of the union of sets A and B. It includes all elements in the universe Ω that are not in either A or B. In other words, it consists of all values of x in the range 0 to 2 that do not fall within the intervals [0.5, 1] or [0.25, 1.5].

(b) A∪B^c: This set represents the union of set A and the complement of set B. It includes all elements that are either in set A or not in set B. In this case, it consists of all values of x in the range 0 to 2 that fall within the interval [0.5, 1], as well as any values outside the interval [0.25, 1.5].

(c) (A∩B^)c: This set represents the complement of the intersection of set A and the complement of set B. It includes all elements in the universe Ω that are not common to both A and the complement of B. In this case, it consists of all values of x in the range 0 to 2 that are either outside the interval [0.5, 1], or within the interval [0.25, 1.5].

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Answer:

90.24 mm

Step-by-step explanation:

Circumference = 2πr

C = 2(3.14)(16)

C = 100.48 mm

Perimeter of the figure = 20 + 20 + 1/2 (circumference)

P = 40 + 1/2 (100.48)

P = 40 + 50.24

P = 90.24 mm

I hope this helps!

Set B and set C are linearly independent, while set A is linearly dependent.

The set of vectors {P1, P2, P3} is linearly independent if the determinant of the matrix formed by arranging the vectors as columns is non-zero. By evaluating the determinants of the matrices formed from each set, we can determine their linear independence.

Let's evaluate the determinants of the matrices formed by arranging the vectors from each set as columns.

Set A: The vectors in set A are P1(t) = 1, P2(t) = 2, and P3(t) = 1 + 5t. The matrix formed by arranging these vectors as columns is:

| 1 2 1 |

| |

| 0 0 5 |

| |

| 0 0 0 |

The determinant of this matrix is 0, indicating that the vectors in set A are linearly dependent.

Set B: The vectors in set B are P1(t) = t, P2(t) = 2, and P3(t) = 2t + 542. The matrix formed by arranging these vectors as columns is:

| t 2 0 |

| |

| 0 0 2 |

| |

| 0 0 1 |

The determinant of this matrix is non-zero (equal to 2), indicating that the vectors in set B are linearly independent.

Set C: The vectors in set C are P1(t) = 1, P2(t) = 2, and P3(t) = 1 + 5t + t^2. The matrix formed by arranging these vectors as columns is:

| 1 2 1 |

| |

| 0 0 5 |

| |

| 0 0 2t |

The determinant of this matrix is non-zero, as it involves the variable t. This indicates that the vectors in set C are also linearly independent.

In summary, set B and set C are linearly independent, while set A is linearly dependent.

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