How does s(t) =(5/2)^t change over the interval from t=1 to t=2?Does it?s(t) increases by 5/2 unitss(t) increases by 2.5%s(t) decreases by a factor of 5/2/s(t) increases by a factor of 5/2

Answers

Answer 1

ANSWER

Increases by factor of 5/2

EXPLANATION

Given;

\(s\left(t\right)=\left(\frac{5}{2}\right)^t\)

At interval (1,2);

For x=1;

\(\begin{gathered} s(1)=(\frac{5}{2})^1 \\ =\frac{5}{2} \end{gathered}\)

For x=2;

\(\begin{gathered} s(2)=(\frac{5}{2})^t \\ =(\frac{5}{2})^2 \\ =\frac{25}{4} \end{gathered}\)

Average rate of Change;

\(\begin{gathered} \frac{\frac{25}{4}-\frac{5}{2}}{2-1} \\ \\ =\frac{15}{4} \\ \end{gathered}\)


Related Questions

what is 235% of 82

please hurry!!

Answers

Answer:

192.7

Step-by-step explanation:

It will give you 192.7 or 1927/10

Can someone help me solve this problem

Can someone help me solve this problem

Answers

Answer:

Step-by-step explanation:

Base = 13 cm and its corresponding height = 6 cm

Area of the parallelogram = base * height

                                           = 13 * 6

                                            = 78 cm²

AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.​

Answers

To find the length of AB, we need to use the properties of a tangent to a circle.

When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.

We can use the Pythagorean theorem to find the length of AB:

AB^2 = AD^2 + BD^2

Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:

(8x)^2 = (x + 9)^2 + (7x - 9)^2

64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81

64x^2 = 50x^2 - 108x + 162

14x^2 + 108x - 162 = 0

Dividing the equation by 2, we get:

7x^2 + 54x - 81 = 0

Using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

a = 7, b = 54, c = -81

x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)

x = (-54 ± √(2916 + 2268)) / 14

x = (-54 ± √5184) / 14

x = (-54 ± 72) / 14

Now we solve for x:

Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7

Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9

Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.

Therefore, x = 9/7.

Substituting this value back into AB = 8x:

AB = 8 * (9/7) = 72/7 ≈ 10.29

Rounding to 2 decimal places, the length of AB is approximately 10.29 units.

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

MARK AS BRAINLIEST!!!

What's the result of translating the point (9, –5) using the rule (x, y) → (x + 7, y – 2)?
Question 10 options:

A)

(16, –5)

B)

(16, –7)

C)

(2, –3)

D)

(9, –7)

Answers

Answer:

B

Step-by-step explanation:

X = 9 + 7 = 16

Y = (-5) - 2 = -7

Find the missing side.
+
18
12
x = [?]
Round to the nearest tenth.

Find the missing side.+1812x = [?]Round to the nearest tenth.

Answers

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{18}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 18^2 - 12^2}\implies x=\sqrt{ 324 - 144 } \implies x=\sqrt{ 180 }\implies x\approx 13.4\)

Final answer:

The missing side of a right-angled triangle, assuming it to be the hypotenuse with other sides as 12 and 18, can be calculated using the Pythagorean theorem. The square root of the sum of 12^2 and 18^2 gives the length of the hypotenuse, which is approximately 21.6 when rounded to the nearest tenth.

Explanation:

This question relates to the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Assuming that the missing side in your question (x) is the hypotenuse and the other two sides are 12 and 18, you can calculate it using the aforementioned theorem. Therefore, you find x by calculating the square root of (12² + 18²), or √(144 + 324) which equals to √468. This value, rounded to the nearest tenth, is 21.6.

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after being discounted 40%, weather radio sells for $35.97. find the original price (round your answer to the nearest cent)

Answers

Answer:

$89.93

Step-by-step explanation:

Set up an equation:

Variable x = original price

40/100 = 35.97/x

Cross multiply

40 × x = 100 × 35.97

40x = 3597

Divide both sides by 40

x = 89.925

Round to the nearest cent:

5 rounds up so:

89.93

Check your work (use the original number instead of the rounded number to be more exact):

89.925 × 40%

Convert the percentage into a decimal to multiply:

89.925 × 0.40

35.97

Correct!

the answer is $89.93

8. How many terms does -xy + y-z +10 have? a.3 b.4 c.5 d.6​

Answers

Answer:

I Believe the answer is A. 3 terms

Step-by-step explanation:

-xy is a term

y-z is another term

and 10 is the last..

I hope this helps..

Good luck :)

Step-by-step explanation:

krodd power is god blackndick

This is in the I -r ead y D ia df

This is in the I -r ead y D ia df

Answers

Answer:

its the 3rd option, you got it worng, its -11/12

Step-by-step explanation:

So solve each side first then divide since it sa fraction

ultimately it would be

11/8*-6/9 (keep change flip)

you’d get -11/12

Solve each of the following equations and show how you checked your answers 2y+4y=6-3y

Answers

Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.

What is the probability of spinning a C

What is the probability of spinning a C

Answers

the probability of spinning a C is 25%

Write an equation in slope-intercept form for the line described.
Slope 4, y-intercept (0,-7)

Answers

Answer:

y=4x-7

Step-by-step explanation:

The y intercept is -7, the slope is 4

y=mx+b

m=slope b=y intercept

Answer:

y = 4x - 7

Step-by-step explanation:

y = mx + b

m is slope, which is 4

b is y-intercept, which is -7

can i get brainliest please?

HELP PLSSS HURRY PLS

HELP PLSSS HURRY PLS

Answers

Answer:

48

Step-by-step explanation:

because it gives us the perimeter, we add all the sides

4z-1+4z-1+5z+3+5z+3=166

8z-2+10z+6=166

18z+4=166

18z=162

z=9

side PS is 5z+3

plug in z to get 45+3=48

35 Points! Multiple choice. State the domain and range of the function graphed. Photo attached. Thank you!

35 Points! Multiple choice. State the domain and range of the function graphed. Photo attached. Thank

Answers

Domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}.

Define domain and range of function

In mathematics, the domain of a function is the set of all possible input values for which the function is defined. The range of a function is the set of all possible output values that the function can produce, based on its input values. In other words, the domain is the set of all x-values that the function can take, while the range is the set of all corresponding y-values that the function can take.

The given graph is oriented toward x direction

Domain of function =x≥2

For every value of x the y is always positive

So, range =y≥0

Hence, domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}

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The triangle below is isosceles. Find the length of side x to the nearest tenth.

The triangle below is isosceles. Find the length of side x to the nearest tenth.

Answers

Answer: x=15.6

Step-by-step explanation:

An isosceles triangle has two congruent sides. (1 pair). So, the other side (not x) must equal 11.

Using the Pythagorean Theorem; a^2+b^2=c^2, you can substitute the values in as follows

11^1+11^2=x^2

121+121=x^2

242=x^2

15.55634918610405=x

round to the nearest tenth as said in the question...

x=15.6

The tables represent the points earned in each game for a season by two football teams.


Panthers
14 10 10
10 17 3
28 13 17
32 16 10
14 7 21
Cowboys
10 3 8
6 24 12
21 3 10
28 28 7
7 13 3

Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 14 points
Cowboys; they have a larger median value of 10 points
Panthers; they have a larger mean value of about 14.8 points
Cowboys; they have a larger mean value of about 12.2 points

Answers

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

3.5 as a mixed number.

Answers

Answer:

3 and 1/2

Step-by-step explanation:

Mixed numbers are numbers with one whole number and a fraction.

Answer:

3 1/2

Step-by-step explanation:

well 3.5 in fraction form is 3 1/2.

the 5 is the 1/2 because 5/10 is half of 10 an 5/10 is equivalent to 1/2 sooo

3 1/2

Find the width, thank you!

Find the width, thank you!

Answers

length=3width-5

(2(x))+(2(3x-5)=46

2x+6x+10=46

8x=56

x=7

width=7 length=16

Answer:

w = 7

l = 3w-5

2l + 2w = 46

lets substitute the value of length

2(3w-5)+2w

6w-10+2w

6w+2w = 8w

8w-10 = 46

add 10 to both sides to cancel out the -10 on the left side.

8w = 56

56/8 = 7

w = 7

hope this helps and hope it is correct

Step-by-step explanation:

The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)​

The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?

Answers

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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helppppppppppppppppppppppppppppp

helppppppppppppppppppppppppppppp

Answers

Answer:

f(3)=5

Or

(3,5)

Step-by-step explanation:

all you have to do is look at what y axis is on the line when x=3

And y=5

f(3)=5

Hopes this helps please mark brainliest

helppppppppppppppppppppppppppppp

Let f(x) = 5x - 1 and g(x) = x2 + 2
Find (fog)(-2).

Answers

Let f 5x-1 fish the Andre g.

Answer:

→please refer to the above attachment←

f(x) = 5x - 1 and g(x) = x² + 2

(fog)(x)=5x²+9

(fog)(-2)= 29

29 is the right answer.

Let f(x) = 5x - 1 and g(x) = x2 + 2Find (fog)(-2).

Find the area of the figure. (Sides meet at right angles.)
2 ft
2 ft
\ ft
bft
8 ft
8 ft
4 ft
8 ft

Find the area of the figure. (Sides meet at right angles.)2 ft2 ft\ ftbft8 ft8 ft4 ft8 ft

Answers

Answer:

44 ft²

Step-by-step explanation:

A1 = 2(5 x 2) = 20

A2 = 8 x 3 = 24

total = 20 + 24

       = 44 ft²

Find the area of the figure. (Sides meet at right angles.)2 ft2 ft\ ftbft8 ft8 ft4 ft8 ft

A rectangle on a coordinate plane has vertices L(0.6), M3, 6), N80), and O(0, 0) What are the dimensions of the
rectangle?
O
• The base is 6 and the height is 8
• The base is 8 and the height is 6
• The base is 6 and the height is 6
• The base is 8 and the height is 8​

Answers

Answer:

• The base is 8 and the height is 6

Step-by-step explanation:

A rectangle has two dimensions:

The base, which is the distance between the points who have the same value of y.

The height, which is the distance between the points who have the same value of x.

Distance between 2 points:

Points (a,b) and (c,d).

\(D = \sqrt{(c-a)^{2} + (d-b)^{2}}\)

I suppose there was a small typing mistake, as these points do not make a rectangle.

I will say that we have these following points:

L(0,6), M(8,6), N(8,0), O(0,0).

Base:

Same value of y.

L(0,6), M(8,6), or N(8,0) and O(0,0).

They will have the same result, will use the second.

\(D = \sqrt{(8-0)^{2} + (0-0)^{2}} = \sqrt{64} = 8\)

The base is 8.

Height:

Same value of x.

L(0,6), O(0,0) or M(8,6) and N(8,0).

\(D = \sqrt{(8-8)^{2} + (6-0)^{2}} = \sqrt{36} = 6\)

The height is 6.

So the correct answer is:

• The base is 8 and the height is 6

Im need help on this question

Im need help on this question

Answers

You were right, its the second choice CA=CB+BA

Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?
a.
The interest rate should be ignored, because there’s nothing a consumer can do to change it.
b.
The interest rate is essentially how long you have to pay off your loan, and the shorter the better.
c.
The interest rate can drastically change the total amount paid to the lender, in the case of mortgages, up to thousands of dollars.
d.
The interest rate does not change, even between banks, so choosing the right time to borrow is essential.

Answers

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Please solve this, thank you

Please solve this, thank you

Answers

Answer:

2.62 x 10^16

Step-by-step explanation:

Let look at the numerator:

(3.1 x 10^6)(6.97 x 10^4)

= (3.1 x 6.97) x 10^(6+4)

= 21.607 x 10^10

So  21.607 x 10^10

     _______________

       8.245 x 10^-6

= (21.607/8.245) x 10^(10 - -6)

= 2.62 x 10^(10 + 6)

= 2.62 x 10^16

I hope this helps

An earthquake with a rating of 7.9 is
known to be a great earthquake that can
cause damage that extends several
hundred kilometers.
R = log x
R = rating of the earthquake's size on the
Richter scale
x = ratio of earthquake intensity to a
minimum level of intensity
1) Substitute known values into the
equation.
2) Raise each side of the equation as the
power of the base of the log.
3) Simplify using the property.
What is the value of x when the Richter
scale rating is 7.9? Round your answer
to the nearest hundredth.
Enter the correct answer.
DONE

An earthquake with a rating of 7.9 isknown to be a great earthquake that cancause damage that extends

Answers

The value of x when the Richter scale rating is 7.9 is approximately 79432.82

How to find the value

To find the value of x when the Richter scale rating is 7.9, we can follow the steps provided:

Substitute known values into the equation.

R = log(x)

R = 7.9

Raise each side of the equation as the power of the base of the log.

\(10^R = 10^(^l^o^g^(^x^)^)\)

Simplify using the property.

\(10^R = x\)

Now we can substitute the value of R (7.9) into the equation:

\(10^(^7^.^9^) = 79432.82\)

Therefore, the value of x when the Richter scale rating is 7.9 is approximately 79432.82 (rounded to the nearest hundredth

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can you please give me a short brief answer

can you please give me a short brief answer

Answers

Answer:

120 yards 1.

Step-by-step explanation:

In the shape, it is a rectangle with a triangle cut out from it. What is the area of the shape:

Area of rectangle = length × width

12 × 15 = 180 yards²

Area of triangle = ½ × base × height

½ × 10 × 12 = 60 yards²

Now subtract the area of triangle from the area of rectangle:

180 - 60 = 120 yards ²

Write the equation of a parabola with the focus at (3, 0) and the directrix at x = –3.

x^2 = –3y
y^2 = –3x
x^2 = 12y
y^2 = 12x

Answers

The equation of the parabola whose focus is at (3, 0) and directrix at x = - 3 is y² = 12 · x. (Correct choice: D)

How to derive the equation of the parabola

In this problem we need to determine the equation of a parabola based on the information of the focus and the directrix. The vertex form of the parabola is described below:

4 · p · (x - h) = (y - k)²

Where p is the distance from the vertex to the focus. The coordinates of the vertex is the midpoint of the line segment of the least distance between the directrix and the focus.

First, determine the coordinates of the vertex:

(h, k) = 0.5 · (- 3, 0) + 0.5 · (3, 0)

(h, k) = (0, 0)

Second, calculate the distance from the vertex to the focus:

p = 3 - 0

p = 3

Third, write the vertex form of the parabola:

y² = 12 · x

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Write the equation of a parabola with the focus at (3, 0) and the directrix at x = 3.x^2 = 3yy^2 = 3xx^2

3x + y = -3
y = x + 5
Substitution pls show solving

Answers

3x + y = -3
Substitute y = x + 5 in the ‘y’ spot in the 3x + 7 = -3 equation

3x + y = -3
3x + x + 5 = -3
combine liked terms
4x + 5 = -3
-5 on both sides
4x = -8
/4 on both sides
x = -2

Answer:
x = -2

Answer:

( -2, 3 )

Step-by-step explanation:

3x + y = -3

y = x + 5

Since "y" has been given to us, all we need to do is substitute.

3x + x + 5 = -3

Combine like terms

4x + 5 = -3

Subtract 5 onto both sides

4x + 5 - 5 = -3 - 5

4x = -8

Divide by 4 into both sides to isolate the variable

4x/4 = -8/4

x = -2

Now that we have x ( -2 ), we can substitute that to get what y is.

y = x + 5

y = -2 + 5

y = 3

( x, y ) ---> ( -2, 3 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Which statement applies to the transformed function f(x)−4
?

Which statement applies to the transformed function f(x)4?

Answers

The function is odd, and the graph would be shifted downward. option(2)

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units.

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units. Option(2)

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The greater demand _____ price.A) HigherB) The HigherC) The HighD) High Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes costs $4.50 and he played 5 games, what was the price per game? how many of these photons would need to be absorbed simultaneously by a molecule with binding energy 10.0 ev to break it apart? What were the various ways in which early musicians could make a living? Determine whether the pair of lines appear to be parallel or perpendicular... Theres just two lines like this \\ Which of the following identifies the type of radiation that scientists most likely observed?RadioInfraredUltravioletGamma Rays hello can someone please help although alex is frequently caught stealing money and other valuables from friends as well as strangers, he does not feel guilty or remorseful about his actions. alex most clearly demonstrates a(n) Which of the following statements is FALSE? a. When William Travis gave the men at the Alamo a chance to leave, over 180 men stayed despite almost certain death. b. The Mexican government had no real political need to take the Alamo, but Santa Anna wanted to get revenge for the defeat of General Cs and teach the Texas rebels a lesson. c. Santa Annas ruthless treatment of the Texas rebels ended at Goliad where General Urrea defied his orders to massacre over 350 captured Texans. d. Santa Annas army spent two weeks at the Alamo, which gave Texans at the Convention of 1836 time to declare independence and write a constitution. Graph the polygon ABCDEF on the coordinate grid below which has vertices of the following coordinates Etc Entry for Factory Labor CostsThe weekly time tickets indicate the following distribution of labor hours for three direct labor employees:HoursJob 301Job 302Job 303ProcessImprovementTom Couro201284David Clancy918154Jose Cano1313105The direct labor rate earned per hour by the three employees is as follows:Tom Couro$18David Clancy25Jose Cano21The process improvement category includes training, quality improvement, housekeeping, and other indirect tasks. (Note: Ignore any overtime issues, if applicable.)a. Journalize the entry to record the factory labor costs for the week. If an amount box does not require an entry, leave it blank.Work in ProcessFactory OverheadWages Payable Give three reasons chores must be done daily 2x + 7 - 5x + 8 = 3(5 + 6x) - 12x What process does a multi-cellular organism use to replace its damaged body cells Otra palabra para decir a veces.a. de vez en cuandob. jamsPlease select the best answer from the choices providedB what did Odysseues want and what was the problem the pcr system accounts for __________ of atp production during a 100 m sprint. choose two of the following three questions and post your answers: 1. in your own words, what is meant by the statement that correlation does not imply causality? 2. in your own words, please describe the difference between the regression equation and the regression equation . 3. values of r: if you had computed the value of the linear correlation coefficient to be 1.200, what should you conclude? the construction of dams stopped the flow of the gila river to american indians in the west. group of answer choices true false WILLL GIVE 5 STAR RATINGRead the following summary of Zora Neale Hurston's Their Eyes Were Watching God and identify the common errors when writing about literature.I really enjoy in Zora's book when Janie comes into her own. I think that Zora shows Janie's growth to her own true self after surviving two terrible husbands and one okay husband with a tragic ending.It is written in first person.It is written with contractions.It is written in past tense.The author's first name is used. Choices A and C Choices B and D Choices A and D Choices B and C