Explain your work please.

Explain Your Work Please.

Answers

Answer 1
Refer to the attached image. Comment any questions you have!
Explain Your Work Please.

Related Questions

you have built a regression model to predict future crops of tomato based on a range of growing conditions. the model seems to fit well to the training data, but when any new data is tested it performs very poorly. how would you typically describe a model where this occurs?

Answers

That regression model is described as overfitting. The model has identified specific data points in the data that are not universal.

A regression model, which provides a function, describes the relationship between one or more independent variables and a response, dependent, or target variable. To explain the relationship between height and weight, for instance, a linear regression model might be utilized.

Regression analysis is the foundation for many forecasts and evaluations of the effects on target variables. Regression models are widely employed in research to support claims about fuel economy, the causes of pollution, or the effects of screen time on learning.

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write a description of each inequality
-5a+3>1
show work

Answers

Answer:

Step-by-step explain

You have to solve for 5a

Put the numbers in order from smallest to largest.

50.57
150
15.2
5.899

Answers

Answer:
Smallest to Largest =
5.899, 15.2, 50.57, and 150

Step-by-step explanation:


I hope this helps you out :D

Find the logarithmic function f(x) = log a (x-h) that describes the graph *image included*

Answers

The logarithmic function that describes the graph is given as follows:

[tex]f(x) = \log_2{(x + 1)}[/tex]

How to define the logarithmic function?

The parent logarithmic function is defined as follows:

f(x) = log(x).

Which, no matter the base, has the vertical asymptote given as follows:

x = 0.

The vertical asymptote of the graphed function is given as follows:

x = -1.

Hence:

[tex]f(x) = \log_a{(x + 1)}[/tex]

When x = 3, f(x) = 2, hence the base a is obtained as follows:

[tex]2 = \log_a{(4)}[/tex]

Meaning that:

a² = 4.

a = 2.

And the function is then defined as follows:

[tex]f(x) = \log_2{(x + 1)}[/tex]

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Find an equation of the plane through the point and perpendicular to the given line. (-2, 9, 10) x = 5 + t, y = 3t, z = 4 - 3t

Answers

Let A be the point (-2, 9, 10) and n be the normal vector of the plane. The direction vector of the line is <1, 3, -3>, and since the plane is perpendicular to the line, n is orthogonal to the direction vector.

So, n is a vector that satisfies:

n . <1, 3, -3> = 0

The equation of the plane can be written in the form:

n . (x - A) = 0

Where x = (x, y, z) is any point in the plane.

We can find n by taking the cross product of two non-parallel vectors in the plane, such as <1, 0, 0> and <0, 1, 0>. Then,

n = (1, 0, 0) x (0, 1, 0) = (0, 0, 1)

Substituting the values of A and n into the equation of the plane, we get:

0 . (x - (-2, 9, 10)) = 0

0 . (x + 2, y - 9, z - 10) = 0

z - 10 = 0

z = 10

So the equation of the plane is:

z = 10

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A class plants a tree. sketch the graph of the height of the tree overtime.

a. Identify the two variables.
b. How can you describe the relationship between the two variables?
c. Sketch the graph.

I will give brainiest for full answer!

Answers

Answer:

a) The two variables are the number of years and the height of the tree in feet

b) It is a positive linear relationship.

c) Put a point at (0,3) and one at (3,7), and connect the dots.

A.) The two variables are the height of the tree and the time

B.) The relationship between the two variables is direct

C.) put a dot on y=3 then make a straight line

Convert 9y^2+72y=72=6x-x^2 to standard form.

A) (x-3)^2/81 + (y-4)^2/ 9=1

B) (x+3)^2/81+(y+4)^2/9=1

C) (x-3)^2/81 + (y+4)^2/9=1

D) doesnt matter the answer is C

Answers

The standard form of the equation 9y^2+72y=72=6x-x^2 will be x-3)^2/81 + (y+4)^2/9=1.

Imagine that you are collaborating on a math assignment with students Andrea and Susan. To represent a word problem, you are looking for an equation. You each work on the problem independently, then compare your solutions. The formula 2x - y = -1 was created by you. The formula y = 2x + 1 was created by Andrea. Susan's final solution was the equation y - 3 = 2(x - 1).

The given equation is :

[tex]x^{2} + 9y^{2} -6x +72 y = 72[/tex]

[tex]x (x-6) +9y (y+6) = 72[/tex] +1 +36

x(x-6) / 109 + 9y(y+6) / 109 = 1

Thus, by simplifying above equation

(x-3)^2/81 + (y+4)^2/9=1

In this case, Option C is correct.

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Answer:

C) (x-3)^2/81 + (y+4)^2/9=1

Step-by-step explanation:

est scores for students on an easy test. approximately symmetric b) the numbers of hours of television watched by a large, typical group of americans. approximately symmetric c) the heights of a large, typical group of ad

Answers

Symmetry is a way of measuring the shape of a data set. It is defined as the similarity between the upper and lower halves of a distribution.

A symmetric distribution is one where the data is equally distributed around a central point. To calculate this, you need to subtract the mean (the average of the values) from each data point and then divide by the standard deviation (the measure of how much the data is spread out). The formula for symmetry is: (x-mean)/standard deviation. An example of a symmetric distribution would be the scores of a group of students on an easy test. If the mean score was 70 and the standard deviation was 10, then any score between 60 and 80 would be considered symmetric.

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What is the relationship between 30 hours and 15 hours complete this statement.
the number of hours spent using electronic devices is ? times the number of hours spent playing sports. ​

Answers

The relation between the number of hours spent using electronic devices is 2 times the number of hours spent playing sports. ​

The term called relation is defined as the relationship between sets of values of ordered pairs and the set of elements in the first set are called domain which is related to the set of the element in another set, which is called range.

Here we have know that the number of hours spent using electronic devices is 30 and the number of hours spent playing sports 15.

As per the definition of relation, in order to find the relation we need to do the division operation on then we get,

=> 30/15

=> 2

Which means that the first one is 2 times of the second one.

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Determine which of the lines, if any, are parallel or perpendicular.

Answers

The line a and line c are perpendicular to each other.

How to find parallel and perpendicular lines?

Lines are known if they are parallel or perpendicular by there slopes.

Therefore, parallel lines have the same slopes and perpendicular have slopes that are negative reciprocals of one another.

The slope of a line is the change in the dependent variable to the change in the independent variable.

Therefore, let's find the slopes of each line.

line a:

slope = -3 - 1 / 6- 0  = - 4 / 6 = - 2 / 3

line b:

slope = -2 - 0 / 3 + 3 = - 2 / 6 = - 1 / 3

line c:

slope = 7 + 2 / 2 + 4 = 9 / 6 = 3 / 2

Therefore, line a and c are perpendicular

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Find the 14th term of the arithmetic sequence whose common difference is d = 8 and whoose first term is a1=5

Answers

The 14th term of the arithmetic sequence is 109 whose common difference is d = 8 and whose first term is a(1)=5.

The value of 14th term of an AP is 109.

In the given question

The common difference = 8

The value of first term=5

And we have to find the value of 14th term of Arithmetic progression

We utilize the method for locating the nth term to locate a specific term in an arithmetic series. An arithmetic sequence's nth term is determined by an = a + (n - 1)d in step 1.

Putting the given value in formula:

an = a + (n - 1)d

a 14th=5+(14-1)8

a 14th=5+13*8

a 14th=5+104

a 14th=109

So the value of 14th term of an AP is 109.

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The trajectory of a golf ball hit from a tee on the ground at an angle of 50 degrees with an initial speed of 60 meters per second can be modeled by the parabola f(x) = 1. 19x − 0. 0033x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the golf ball travels before hitting the ground.

PLEASE HELP!

Answers

The height of the highest point of the trajectory and the horizontal distance the golf ball travels before hitting the ground will be 360 .6 meters

Apparently, x is the distance from the place where the ball is impacted on the ground.

The ball's horizontal speed, given by s, can be calculated using the equation cos(50) = s/60, where s = 38.5 mps.

Size is represented by f(x). The highest point of the parabola would be at -b/2a = -1.19/-.0066 = 180.3 metres, meaning the ball has moved 180.3 metres.

Input 107.28 metres into the formula to find the height.

In order to calculate the distance travelled, the ball must be on the ground, hence f(x) = 0.

-.0033x^2 + 1.19x = 0

x*(-.0033x + 1.19) = 0

x= 1.19/.0033 = 360 .6 meters

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seaview high school currently has 1,206 students and the town is predicting that they will receive 7 new students each year springtown high school currently had 1,074 students and the town is predicting that they will receive 19 new students each year how many years will it take for the schools to have the same number of students

Answers

The number of years that will take for the schools to have the same number of students is given as follows:

11 years.

How to define the linear functions?

The number of students in each school is modeled by linear functions in slope-intercept format, as follows:

y = mx + b.

In which:

m is the slope, representing the yearly change.b is the intercept, representing the initial amount of students in each school.

The functions for this problem are given as follows:

Seaview: Se(t) = 1206 + 7t.Springtown: Sp(t) = 1074 + 19t.

They will have the same number of students when:

Sp(t) = Se(t).

Hence:

1074 + 19t = 1206 + 7t

12t = 132

t = 132/12

t = 11 years.

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HELP HELL GELP
HELPFBDNAKAKIWKW

Answers

And the answer is the 5th option

Can someone help me with this please?

Answers

Answer:

Scalene Triangle

Step-by-step explanation:

Right triangles have 90 degree angles. Isosceles triangles have 2 equal sides. While, equilateral triangles have 3 equal sides.

A helicopter is descending from an altitude of 1,500 feet. The helicopter descends at a constant rate of 280 feet per minute. Which function can be used to determine H, the height of the helicopter above the ground after m, minutes? A H=280m+1,500H=280m+1,500H=280m+1,500 B H=1,500−280mH=1,500-280mH=1,500−280m C H=1,500m+280H=1,500m+280H=1,500m+280 D H=280m−1,500H=280m-1,500H=280m−1,500

Answers

The function that can be used to get the height of the helicopter above the ground is: H=280m−1,500

What is a function in mathematics?

A function is a statement, rule, or law in mathematics that establishes the link between an independent variable and a dependent variable (the dependent variable).

How to solve for the function

The value 280 is the constant rate that the helicopter is said to be descending.

The altitude from which it is coming down is given as 1500 feet

The function would be written as H=280m−1,500

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You have ​$80 in your bank account. Each week you plan to deposit ​$9 from your allowance and ​$25 from your paycheck. The equation b = 80+(25+9)w gives the amount b in your account after w weeks how many weeks from now will you have $245 in your bank account

Answers

Answer:

165/34

Step-by-step explanation:

245=80+(25+9)w We subtract 80 from each side and simplify

165=(34)w Divide each side by 34

165/34 = w

A scooter costs a retailer $75, but it sells for $125 at the local store. What is the percent markup? Be sure to round to the nearest hundreth.

Answer = ___%

Answers

The percent markup for the scooter that costs a retailer $75 but sells for $125 at the local store is 66.67%.

What is the markup?

The markup is the additional price added to the cost of an item for retail sales.

Markups are usually expressed in percentages.

To express the markup in percent determine the difference between the retail price and the cost price.  Then divide the difference by the cost price and multiply by 100.

The cost price of the scooter = $75

The selling price of the scooter = $125

The markup in dollars = $50 ($125 - $75)

The markup percent = 66.67% ($50/$75 x 100)

Thus, the scooter was marked-up at 66.67%.

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in the equation 3(x-1)=2x+c, for what value of c will x = 3? Explain your reasoning
Brainliest Answer

Answers

By algebra properties, the value of variable c for linear equation 3 · (x - 1) = 2 · x + c such that x = 3 is equal to 0.

How to solve a linear equation

In this problem we need to find the value of a variable c such that the following system of linear equations exists:

3 · (x - 1) = 2 · x + c

x = 3

First, substitute x in the first equation:

3 · (3 - 1) = 2 · 3 + c

Second, simplify and clear the resulting expression:

3 · 2 = 6 + c

6 = 6 + c

c + 6 = 6

c = 0

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Find the length of the prism

Answers

The length of the rectangular prism is 4/5x.

What is a rectangular prism?

Six faces make up the three-dimensional shape of a rectangular prism (two at the top and bottom and four are lateral faces). The prism has rectangular shapes on each of its faces. There are therefore three sets of identical faces in this picture. A cuboid is another name for a rectangular prism because of its shape.

We know that Volume of a rectangular prism is a product of length, height and width.

We are given volume as (7/x)-(3/5x).

The width(w) is 2/x and the height(h) is 4/x

Using the formula, we get

⇒ V = lwh

⇒ (7/x)-(3/5x) = l * (2/x) * (4/x)

⇒ l = [(7/x)-(3/5x)] / [(2/x) * (4/x)]

⇒ l = (32/5x) /(8/x^2)

l = 4/5x

Hence, the length of the rectangular prism is 4/5x.

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is the given value a root of the equation or not?
1. 8x-4= 2; 3
2. 4y + 5 = y-7; -4

Answers

Answer: To check if a given value is a root of the equation 8x-4 = 2, we can substitute the value into the equation and see if it makes the equation true.

When we substitute 3 for x in the equation 8x-4=2, we get 8(3)-4=2, which simplifies to 24-4=2, which is not true. So, 3 is not a root of the equation.

To check if a given value is a root of the equation 4y + 5 = y-7, we can substitute the value into the equation and see if it makes the equation true.

When we substitute -4 for y in the equation 4y + 5 = y-7, we get 4(-4) + 5 = -4-7, which simplifies to -16+5=-11=-4-7, which is true. So, -4 is a root of the equation.

Step-by-step explanation:

PLSSS HELP TURLY KNOW THISSS

Answers

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 15 - x = 10

Then the value of x will be,

→ 15 - x = 10

→ -x = 10 - 15

→ -x = -5

→ [ x = 5 ]

Hence, the value of x is 5.

Evaluate each of the following expressions given that: f ( x ) = √ x + 5 f(x)=x+5 g ( x ) = 3 x − 7 g(x)=3x-7 h ( x ) = 5x(x)=5x f ( g ( 5 ) ) = f(g(5))= Preview g ( f ( 78 ) ) = g(f(78))= Preview h ( g ( f ( 2 ) ) ) = h(g(f(2)))=

Answers

Given the expressions, f(x)=√x+5, g(x)=3x-7, and h(x)=5x, the answer to f(g(5)) is 8. This is because when g(5) is substituted into f(x) we get f(g(5))=f(3x-7)=√(3x-7)+5. When 5 is substituted for x, this simplifies to f(g(5))=√(-2)+5 which equals 8.

The answer to g(f(78)) is 60. This is because when 78 is substituted into f(x) we get f(78)=√78+5 which simplifies to f(78)=9. When 9 is substituted into g(x) we get g(f(78))=3x-7 which simplifies to g(f(78))=3(9)-7 which equals 60.

Finally, the answer to h(g(f(2))) is 83. This is because when 2 is substituted into f(x) we get f(2)=√2+5 which simplifies to f(2)=3. When 3 is substituted into g(x) we get g(f(2))=3x-7 which simplifies to g(f(2))=3(3)-7 which equals 8. When 8 is substituted into h(x) we get h(g(f(2)))=5x which simplifies to h(g(f(2)))=5(8) which equals 83.

In summary, the answers to f(g(5)), g(f(78)), and h(g(f(2))) are 8, 60, and 83 respectively.

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Rewrite the ff. Quadratic Formula from General Form to Vertex Form or vice versa.
1. y=x²+6x+14
2. y=2x²+8x+12
3. y=3(x+3)²-7
4. y=(x+2)²+4

Answers

Answer:

1. y= (x-3)^2+5 vertex form

2. y= 2(x+2)^2+4 vertex form

3. y= 3x^2+18x+20 general form

4. y= x^2+4x+8 general form

Please Help Me AND HURRY!



Is \sqrt{5}+\sqrt{16} A Rational Or Irrational Number

Answers

The number √5 + √16 is an irrational number

How to determine the solution to the expression

From the question, we have the following parameters that can be used in our computation:

\sqrt{5}+\sqrt{16}

Express properly

So, we have the following representation

√5 + √16

Take the square root of 16

This gives

√5 + 4

Rewrite as

4 + √5

The above expression is an irrational number

This is so because of the radical symbol on 5

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Find the perimeter of the
polygon if ZB = ZD.
D
A
10.5 cm
12.5 cm
C
B
11.5 cm
P = [?] cm

Answers

Perimeter of Regular Polygon = 92cm (Number of sides) x (Side length of a polygon) units

What is Perimeter of Polygon?

The total length of a polygon's boundary is calculated as the polygon's perimeter. Due to the fact that polygons are closed plane shapes, their perimeters likewise reside in a two-dimensional plane. A polygon's perimeter is always measured in linear distances such as metres, centimetres, inches, feet, etc.

Based on the length of its sides, we can classify a polygon as either regular or irregular. The formula for several well-known polygons' perimeter is as follows:

A triangle's perimeter is equal to its three side lengths, a, b, and c.

A rectangle's perimeter equals 2 (length + width).

We first determine whether the given polygon is a regular polygon or an irregular polygon before computing the perimeter of the polygon. The polygon's perimeter is then determined using the proper Formula

Therefore, the formula to find the perimeter of a regular polygon is: Perimeter of regular polygon = (number of sides) × (length of one side)

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 10.5 + 11.5 + 12.5 + 11.5 + 11.5 + 12.5 + 11.5 + 10.5

Perimeter of the polygon = 22 + 24 + 24 + 22

Perimeter of the polygon = 46 + 46

Perimeter of the polygon = 92cm

Hence the Perimeter of the polygon is 92cm

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If f(x)=3x, g(x)=x+4 , and h(x)=x2−1 , find g[h(0)]

Answers

the value of function g[h(0)] at x = 0 is 3.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given that,the functions f(x) = 3x, g(x) = x + 4 , and h(x) = x² − 1

Since,

G(h(x)) = x² - 1 +4

G(h(x)) =  x² + 3

Thus at x = 0

G(h(0)) =  0² + 3

G(h(0)) =  3

therefore, the value of function g[h(0)] at x = 0 is 3.

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find the number in which when subtracted from both 17 and 12 , the product will be 1.04 (qudratic equation)​

Answers

The required number in which when subtracted from both 17 and 12 , the product will be 1.04  is  x = 11.8 or 17.2.

What is quadratic equation?

ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

According to question:

Let the number is x, then

(17 - x)(12 - x) = 1.04

204 - 17x - 12x + x² = 1.04

x² - 29x + 204 = 1.04

x² - 29x + 202.96 = 0

On solving for x, we get

x = 11.8 or 17.2

Thus, the number can be x = 11.8 or 17.2.

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The needed value is either x = 11.8 or 17.2, which when deducted from both 17 and 12 will result in a product of 1.04.

What is a quadratic equation?A quadratic equation, or a second-order polynomial equation in a single variable, is defined as ax2 + bx + c = 0. a 0. Due to the fact that it is a second-order polynomial equation, which is ensured by the algebraic basic theorem, it must have at least one solutionIf the number is x, then(17 - x)(12 - x) = 1.04204 - 17x - 12x + x² = 1.04x² - 29x + 204 = 1.04x² - 29x + 202.96 = 0We obtain x by solving for it.x = 11.8 or 17.2Thus, the value of the number can be either x = 11.8 or x = 17.2.

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7. Calculate the selling price of a sound system costing R499 if it is sold at a loss of 45%. 8. The price of milk increased by 8%. If the original price is R10,84, what is the new price? 9. A cell phone costing R747 was advertised at a reduced price of R599. Calculate the percentage discount being offered.
10. Mandisa planned to spend RI 000 for shoes this week. On Monday she spent R228,95 and on Thursdays she spent R573,38 on shoes. How much money does she have left for the week?
II. Kate's food budget for the month is R700. The first week she spent R189,75, the second week she spent R203,20 and the third week she spent R146,95. How much does she have left for the last week?​

Answers

The answers to all parts are shown below.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

7. CP of sound system = 499

loss= 45%

So, the selling price = 499 - 45% of 499

                                  = R 274.45

8. original price is =1084

The new price = 1084 + 8% of 1084

                                  = R 1,170.72

9. Percentage decreased

= ( 747 - 599) / 747 x 100

= 19.81%

10. Mandisa left with

= 1000 - (228.95 + 573.38)

= R 197.67

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Isaac purchased a new car in 2004 for $16, 900. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $1,400 in the year 2012, then what would be the predicted value of the car in the year 2017, to the nearest dollar?​

Answers

The value of the car in the year of 2017 would be of:

$295.

How to obtain the value of the car in 2017?

A decaying exponential function is given as follows:

y = a(1 - r)^x.

In which:

a is the initial value.r is the decay rate, as a decimal.

The initial value for this problem is of:

a = 16900.

After 8 years, the value was of 1400, hence the decay rate is obtained as follows:

16900(1 - r)^8 = 1400

(1 - r)^8 = 1400/16900

((1 - r)^8)^1/8 = (1400/16900)^1/8

1 - r = 0.73245368177

Hence the function is:

y = 16900(0.73245368177)^x.

2017 is 13 years after 2004, hence the value would be of:

y = 16900(0.73245368177)^13

y = $295.

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Other Questions
Cul de las siguientes afirmaciones describe mejor el mercado argentino?- Como es un mercado maduro, no tiene gran importancia para las redes sociales- Es un mercado maduro, listo para crecer ms que otros- Es un mercado importante en latinoamrica, aunque crezca poco- Es el mayor mercado de latinoamrica How can managing your personal life help with reaching your goals?a. Eating right, exercising, and getting enough sleep can reduce stress and help you study.b. Managing your personal contacts will help you graduate.c. Being involved in sports will increase academic performance.d. Pulling all nighters helps you prepare for tests when you have a busy schedule. What is the distance ymaxmax between the first maxima (on the same side of the central maximum) of the two patterns? When determining the specific heat from a given metal in a calorimeter the mass of the water remains constant, but the mass of the metal is increased what would happen to the equilibrium temperaturea. not changeb. increasec. decrease What is the distance between AB and CD? A rectangular steel bar 38 mm wide and 25 mm deep is subjected to a torque of 450 Nm Estimate the maximum shear stress set up in the material of the bar and the angle of twistWhat percentage error would be involved in each case the approximate equations are used? For steeltake G = 80; GN / m * 2 What i the 8th term in the arithmetic equence defined by the explicit formula an=6n4? carlos is a healthy, 19-year-old college student who is sedentary. he weighs 80 kg. what is his recommended dietary allowance for protein? if an 80 years old person is learning how to speak french and play the guitar, this new skill development is an example of What type of faulty thinking is this an example of? If you invest $10,000 in a bank which one is a better investment? A) 9% compounded monthly b) 9. 3% compounded annually Claire, a journalist, wrote an article about a police officer taking bribes to turn a blind eye to criminal activity on the west side. She was the first to get this information, as she had an inside source who worked within the police station. After the article was published, the police officer in question lost their job. It later came out that the inside source that was used had lied in order to move up in ranking. Would this be an example of libel? A. Yes, because the inside source knew they were lying to intentionally hurt the other police officer. B. Yes, because Claire used her journalists power to get someone fired. C. No, because Claire was unaware that the information she was given was a lie. D. No, because Claire is not responsible, her editor is solely responsible.Claire, a journalist, wrote an article about a police officer taking bribes to turn a blind eye to criminal activity on the west side. She was the first to get this information, as she had an inside source who worked within the police station. After the article was published, the police officer in question lost their job. It later came out that the inside source that was used had lied in order to move up in ranking. Would this be an example of libel? A. Yes, because the inside source knew they were lying to intentionally hurt the other police officer. B. Yes, because Claire used her journalists power to get someone fired. C. No, because Claire was unaware that the information she was given was a lie. D. No, because Claire is not responsible, her editor is solely responsible. GDP per capita is a measure of prosperity because it divides the total GDP of a country by its population. Which of the below forecasts for a country would results in the the highest GDP per Capita Growth? a delegate proposes amending the articles of confederation keith drove 320 miles using 12 gallons of gas. at this rate, how many gallons of gas would he need to drive 296 miles? Which of the following equations represents a linear function?A: x = 5B: y equals negative one fourth times x plus 5C: 2x + 7 = 12 5. Rafael had 25 golf balls in a bucket. He used 20% of them at the driving range. How many balls did he use at the driving range? A student has four pieces of a substance in different shapes and sizes. The student wants to determine the density of the substance. Which of the following procedures would yield the most accurate data?Place the pieces on a mass balance, one at a time and record the mass of each. Submerge the pieces one at a time in a graduated cylinder filled with a volume of water and record the volume change.Place a beaker on a mass balance and tare the balance. Place the pieces in the beaker and record the mass, then add just enough water to the beaker to cover the pieces and record the volume of added water.Fill four beakers with fluids that have different densities. Place a different piece in each beaker and record whether it sinks or floats.Fill four beakers with fluids that have different densities. Place one of the pieces into each beaker and record whether it sinks or floats. Repeat with the remaining three pieces. Angela observes that a drone is flying horizontally at a constant height of 5m above the ground. If the drone is flying in the opposite direction from Angela's location at a speed of 1m/s determine the rate at which the angle of elevation (theta) decreases at the moment when (theta)=pi/6 which factor would be included in the initial size-up of an incident that is conducted by the first-arriving firefighter?