PLEASE HELP ME!!!!!
An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
x y
1 221
2 217
3 213
4 209
82 ?

Answers

Answer 1

When you subtract the y values you find that each increase in x decreases y by 4.

X is going from 4 to 82 which is 78 units.

78 x 4 = 312

Subtract 312 from the last y value:

209 - 312 = -103

The answer is -103

Answer 2

Answer:

When x = 82, y = -103

Step-by-step explanation:

So an arithmetic sequence is a sequence whose terms differ by a constant value. To find the value of the [tex]n^{th}[/tex] term we need to form an equation for the sequence.

Equation to the sequence

First we need to find the difference between the values of the sequence. In this case the difference is -4:

217 - 221 = -4,  209 - 213 = -4

So the equation is:

[tex]n^{th}[/tex] term = -4n + c

Now we need to find the c, so we substitute the [tex]n^{th}[/tex] term and the term number and solve the equation:

221 = (-4 x 1) + c

221 = -4 + c

c = 225

So the final equation is:

[tex]n^{th}[/tex] term = -4n +225

Finding the 82nd term

Now all we need to do is substitute into the equation and find the answer:

[tex]n^{th}[/tex] term = (-4 x 82) + 225

[tex]n^{th}[/tex] term = -328 +225

[tex]n^{th}[/tex] term = -103


Related Questions

nanci has a large fish tank that contains fish. The ratio of orange fish to black fish is 5:8. If nanci has a total of 20 orange fish, then how many black fish are inn the tank?

Answers

There are 32 black fish in the tank

Step-by-step explanation:

Nanci has a large fish tank that contains fish

The ratio of orange fish to black fish is 5 : 8Nanci has a total of 20 orange fish

We need to find how many black fish in the tank

∵ The ratio between the orange fish to the black fish is 5 : 8

∵ She has 20 orange fish

By using the ratio method

→  orange  :  black

→  5            :  8

→  20          :  x

By using cross multiplication

∵ 5 × x = 20 × 8

∴ 5 x = 160

- Divide both sides by 5

∴ x = 32

∵ x represents the number of the black fish

∴ The number of the black fish is 32

There are 32 black fish in the tank

Learn more:

You can learn more about the ratio in brainly.com/question/11286417

#LearnwithBrainly

what is the perimeter of a football field 31 ft. by 20ft.?

Answers

Answer:102

Step-by-step explanation:you do 31+31=62 then 20+20=40 then 62+40=102

HELP PLEASE QUICK!!!

Answers

Answer

-6 -12

Step-by-step explanation:

PLEASE HELP WITH THESE TWO QUESTIONSSS 1. Which value is equivalent to sin20∘?


2. What is the measurement of PQ?

Answers

Answer:

a) [tex]\cos(70\degree)[/tex]

b) 12.72 units

Step-by-step explanation:

Recall that the sine and cosine are completed functions.

This means that:  [tex]\sin(x)=\cos(90-x)[/tex]

[tex]\sin(20\degree)=\cos(90-20)[/tex]

[tex]\sin(20\degree)=\cos(70\degree)[/tex]

Recall that: sine ratio is opposite/hypotenuse

[tex]\sin 58=\frac{|PQ|}{15}[/tex]

This implies that:

[tex]|PQ|=15\sin 58[/tex]

[tex]|PQ|=15(0.848)[/tex]

[tex]|PQ|=12.72[/tex]



Triangle KNM is isosceles, where angle N is the vertex.

Isosceles triangle K N M is shown. N L is a perpendicular bisector of angle K N M. Angle K N L is (5 x + 10) degrees and angle L N M is (6 x minus 1) degrees.

What is the measure of angle K?
11º
25º
50º
65º

Answers

Answer:

25°

Step-by-step explanation:

In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.

This means

[tex]m\angle KNL=m\angle LNM[/tex]

Since

[tex]m\angle KNL=(5x+10)^{\circ}\\ \\m\angle LNM=(6x-1)^{\circ},[/tex]

you have

[tex]5x+10=6x-1\\ \\5x-6x=-1-10\\ \\-x=-11\\ \\x=11[/tex]

No, find the measure of angles KNL and LNM:

[tex]m\angle KNL=(5\cdot 11+10)^{\circ}=65^{\circ}\\ \\m\angle LNM=(6\cdot 11-1)^{\circ}=65^{\circ}[/tex]

and the measure of angle KNM is

[tex]m\angle KNM=m\angle KNL+m\angle LNM=65^{\circ}+65^{\circ}=130^{\circ}[/tex]

Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then

[tex]m\angle K=\dfrac{1}{2}(180^{\circ}-130^{\circ})=25^{\circ}[/tex]

Answer:

25 Degrees

Step-by-step explanation:

Is the slope of 5,0 and 8,4 positive,negative, zero or undefined?

Answers

slope= y2-y1/x2-x1
4-0/8-5
4/3=1.33
the slope is positive

Jarret walks his puppy outside every day for 30 minutes. Angela walked her puppy every day for 90 minutes. Find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days. Then graph the results as ordered pairs. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?

Answers

Answer:

Read the answers below, including the graph.

Step-by-step explanation:

1. Let's find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days.

                        Day 1    Day 2    Day 3    Day 4

Angela               90        180        270         360

Jarret                 30          60          90          120

Ordered pairs for Angela's puppy: (1,90); (2,180); (3,270); (4,360)

Ordered pairs for Jarret's puppy: (1,30); (2,60); (3,90); (4,120)

2. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?

180 - 60 = 120

Angela spend walking her puppy 120 more minutes over 2 days compared to Jarret

This quarter circle has a radius of 7 centimeters. What is the area of this figure? Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

|_____|cm²

Answers

Answer:

[tex]area \: of \: quarter \: circle \\ = \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{90 \degree}{360 \degree} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: 49 \\ \\ = 38.465 \: \: {cm}^{2} [/tex]

Answer:

38.47

Step-by-step explanation:

I just took the k12 test and 38.465 is wrong

. COUPONS Kendra used 35 cents more
in coupons at the store than Leanne.
Leanne used 75 cents less than Becca,
who used 50 cents more than Jaclyn.
Jaclyn used 40 cents in coupons. What
was the value of the coupons Kendra
used?​

Answers

Answer:

Kendra used 50 cents

Step-by-step explanation:

Jaclyn used 40 cents. Becca used 50 more than Jaclyn (90). Leanna used 75 cents less than Becca (15). Kendra used 35 cents more than Becca (50).

J=40

B=90

L=15

K=50

Hope this helps! c:

Using the given information, the value of the coupons Kendra used IS 50 cents.

Substitution method: Multiple equations can be solved using the substitution method, where we substitute the value of one variable in different equations to calculate the value of other variables.

Let,

Cents used by Kendra in coupons= K

Cents used by  Leanne in coupons= L

Cents used by  Becca in coupons= B

Cents used by  Jaclyn in coupons= J

Using the given information,

Kendra used 35 cents more in coupons at the store than Leanne,

K=L+35......................................................................................(1)

Leanne used 75 cents less than Becca,

L+75=B......................................................................................(2)

Becca used 50 cents more than Jaclyn,

B=J+50......................................................................................(3)

Jaclyn used 40 cents in coupons,

J=40

Substituting J=40 in (3),

B=90

Substituting B=90 in (2),

L=15

Substituting L=15 in (1),

K=50

Thus, Kendra used 50 cents in coupons.

Learn more about equations, here:

https://brainly.com/question/19297665

#SPJ4

Hugo and Koby are measuring the heights of plants in biology class.

Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.

Answers

The answers are shorter, higher, 2cm, 15cm, 20% and 15%.

Step-by-step explanation:

Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.

% error = (difference in values / actual value) × 100

Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.

Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.

% error = (difference in values / actual value) × 100

Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.

Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.

Answer:

Step-by-step explanation:

What is the additive inverse of 6x^2+x-2

Answers

Answer:

https://brainly.com/question/11963602

Step-by-step explanation:

it’s solve system by elimination!!! plz help asap

Answers

Answer:

look at the picture shown

It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.

Answers

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

The speed of the driving will be 55 miles/hr. Speed is represented as the pace of change of the distance or the height attained.

What is speed ?

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its SI unit is m/sec.

The given data in the problem is;

The time taken is,t=7.5 hours.

The distance travelled is,d=412.5 miles

v is the speed of driving =?

The formula for the distance is;

d=v×t

v=d/t

Substitute the given values;

v=412.5/7.5

v=55 miles/hr

Hence, the velocity of the driving will be 55 miles/hr.

To learn more about the speed, refer to the link;

https://brainly.com/question/7359669

#SPJ2

Is 48 a solution to 2y = 24

Answers

Answer:

No

Step-by-step explanation:

2y = 24

y = 24/2

y = 12

so the answer is incorrect

Answer:

False

Step-by-step explanation:

The correct answer is 12

3h - j when h = 8 and j = 11

Answers

Answer#
13
Explanation#
Multiply 3 by 8 and, then - it with 11
3(8)-(11)=13
3X8=24
24-11=13

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3

3

cubed of melted purple liquid. The radius of the cone is 333 cm.

Answers

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is [tex]9 \ cm[/tex]

Explanation:

It is given that the radius of the cone is [tex]3 \ cm[/tex]

The volume of the cone is [tex]27\pi[/tex]

The height of the cone can be determine using the formula,  

[tex]$V=\frac{1}{3} \pi r^{2} h$[/tex]

Substituting the values [tex]V=27 \pi[/tex] and [tex]r=3[/tex], we get,

[tex]$27 \pi=\frac{1}{3} \pi(3)^{2} h$[/tex]

Multiplying both sides by 3, we have,

[tex]$81 \pi= 9\pi h$[/tex]

Dividing both sides by [tex]$9 \pi$[/tex], we have,

[tex]9=h[/tex]

Thus, the height of the cone is [tex]9 \ cm[/tex]

What is the value of x?
21
24
32
44

Answers

Answer:

21

Step-by-step explanation:

im god

Ivanka has a ribbon that is 4.5 inches long. Michal has a ribbon that is 3 1/10 times the length of ivanka’s ribbon. How long is michal’s ribbon? Express the answer to the nearest hundredth

Answers

Answer:

6.30

Step-by-step explanation:

Ivanka’s ribbon = 4.5 inches long

Michal’s ribbon is 3 1/2 times ivanka’s

Therefore,

Michal’s = 3 1/2 x 4.5

= 7/5 x 4.5

= 31.5/5

= 6.3 = 6.30 to the nearest hundredth

f(x) = -2x2 – 7x + 4
What’s the vertex?

Answers

Answer:

( - 7/4, 81/8 )

Step-by-step explanation:

Solve for c.



3abc + b = 5

c =
c = 2 - ab
c = -

Answers

Answer:

c = [tex]\frac{5-b}{3ab}[/tex]

Step-by-step explanation:

Given

3abc + b = 5 ( isolate the term in c by subtracting b from both sides )

3abc = 5 - b ( divide both sides by 3ab )

c = [tex]\frac{5-b}{3ab}[/tex]

Answer: -b-5/3ab

Step-by-step explanation:

3abc + b = 5

3abc + b - b = 5 - b

3abc = 5 - b

3abc / 3ab = (5 - b) / 3ab

c = (5 - b) / 3ab

Angle A and Angle B are supplementary angles. If
m angle A = (2x + 26)° and m angle B = (x + 25)', then find the measure
of Angle B.

Answers

Answer:

12 Degrees

Step-by-step explanation:

angle A and angle B are supplementary angles.

angle A is 14 times as large as angle B.

Let angle A be x and let angle B be y.

then we have x+y=180

 

x=14y

14y+y=180

15y=180

y=12

x=168

Angle A is 168 degrees and angle B is 12 degrees.

Your new place needs a 12 ft by 18 ft rug. You notice that these sides are 50% longer than the rug from your old place. What were the dimensions of the old rug

Answers

Answer:

The dimensions of the old rug are 8 ft by 12 ft

Step-by-step explanation:

Let

x ----> the length of the old rug

y ----> the width of the old rug

we know that

[tex]100\%+50\%=150\%=150\100=1.5[/tex]

so

The dimensions of the old rug multiplied by the factor 1.5 must be equal to the dimensions of the new rug

so

[tex]1.5x=12\\x=8\ ft[/tex]

[tex]1.5y=18\\y=12\ ft[/tex]

therefore

The dimensions of the old rug are 8 ft by 12 ft

Go math book unit 5 page 310 answer key

Answers

Step-by-step explanation:310 x 5=1550

Chords NP and MQ intersect at point S in circle R.
If MS = 3, NS = 2, and SQ = 8, what is the length of SP?

Answers

Option C:

The length of SP is 12.

Solution:

In the given circle, NP and MQ are chords of the circle.

MS = 3, NS = 2, SQ = 8

To find the length of SP:

Segments of chords theorem:

If two chords intersects in the interior of a circle, then the product of the lengths of the segment of one chord is equal to the product of lengths of the segments of the other chord.

By this theorem,

NS × SP = MS × SQ

⇒ 2 × SP = 3 × 8

⇒ 2 SP = 24

Divide by 2 on both sides of the equation, we get

SP = 12

Option C is the correct answer.

The length of SP is 12.

Final answer:

Using the Intersecting Chord Theorem, we find that the length of SP is 3/4 by setting up the equation 3 * 2 = SP * 8 and solving for SP.

Explanation:

The student is asking about finding the length of a chord segment in a circle where two chords intersect. Since chords NP and MQ intersect at point S inside circle R, we can apply the Intersecting Chord Theorem.

This theorem states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. In formula terms, MS × NS = PS × SQ.

We are given MS = 3, NS = 2, and SQ = 8. To find the length of SP, we just substitute into the theorem's formula: (3) × (2) = SP × (8). From this, we calculate that SP = 3/4, which is the length of the segment SP.

Write the expression 4/5 (x + 1) in standard form

Answers

multiply 4/5 ×1=4/1=4

4+1=5

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}x+\frac{4}{5}[/tex]

Simplify - 10x -4 +3x​

Answers

Combine the like terms -10x and 3x to get -7x.

The answer would be -7x - 4

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{Simply: -10x - 4+3x}[/tex]

[tex]\mathsf{First\ group\ your\ like\ terms}[/tex]

[tex]\mathsf{Like\ terms:-10x\ \&\ 3x}[/tex]

[tex]\mathsf{-10x+3x=-7}[/tex]

[tex]\mathsf{New\ equation: -7 x- 4}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\mathsf{-7x-4}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

m x 12 = 12 x m
What property is this?

Answers

Answer:

[tex]It \: is \: called \: commutative \: property[/tex]

4/6 + 1/3 solve this plez

Answers

the answer is one i believe. hope this isn't too late

Yo sup??

[tex]4/6=2*2/2*3\\=2/3\\\\4/6+1/3\\=2/3+1/3\\=2+1/3\\=3/3\\=1\\[/tex]

Hope this helps

Which expressions are equal to 9/41. If u answer I’ll give you best brainliest

Answers

Option a: Sin F equal to [tex]\frac{9}{41}[/tex]

Option e: Cos G equal to [tex]\frac{9}{41}[/tex]

Explanation:

Option a : Sin F

Let us determine the value of Sin F from the right triangle.

The formula for Sin F is [tex]\sin F=\frac{o p p}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\sin F &=\frac{o p p}{h y p} \\&=\frac{H G}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\sin F &=\frac{9}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]

Hence, Option a is the correct answer.

Option b : Cos F

The formula to determine the value of Cos F is [tex]\cos F=\frac{a d j}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\cos F &=\frac{a d j}{h y p} \\&=\frac{F H}{F G} \\&=\frac{40}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option b is not the correct answer.

Option c: tan F

The formula to determine the value of tan F is [tex]\tan F=\frac{o p p}{a d j}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\tan F &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{9}{40}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\tan F &=\frac{9}{40}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option c is not the correct answer.

Option d : Sin G

The formula to determine the value of Sin G is [tex]\sin G=\frac{o p p}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\sin G &=\frac{o p p}{h y p} \\&=\frac{FH }{F G} \\&=\frac{40}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\sin G &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option d is not the correct answer.

Option e : Cos G

The formula to determine the value of Cos G is [tex]\cos G=\frac{a d j}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\cos G &=\frac{a d j}{h y p} \\&=\frac{HG}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]

Hence, Option e is the correct answer.

Option f : tan G

The formula to determine the value of tan G is [tex]\tan G=\frac{o p p}{a d j}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\tan G &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{40}{9}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\tan G &=\frac{40}{9}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option f is not the correct answer.

Thus, the expression which is equal to [tex]\frac{9}{41}[/tex] is Sin F and Cos G

x+3y=6
x-3y = 12
Using elimination

Answers

Answer:

look at the picture shown

Answer:

x = 9 ; y = -1

Step-by-step explanation:

because one equation is 3y and the second is -3y they will cancel out (eliminate) so the term y will be gone and you combine (add) the rest of the terms and end up with

[tex]2x=18[/tex]

then divide both sides by 2 to get: x = 9

plug in the value of x into one of the original problems

[tex]9+3y=6[/tex]

and solve for y

[tex]3y=-3\\y=-1[/tex]

if you plug in the values of x and y into the equations it should be true

Other Questions
Sales Taxnbsp Selling Price nbspnbsp Rate of Sales Tax nbspnbsp Sales Tax nbsp$70.003%? How do energy transformations occur in a hydroelectric plant?A.The kinetic energy of water is converted by a generator into electric energy.B.The potential energy of water is converted by a transformer into electric energy.C.The potential energy of water is converted to mechanical energy by a turbine.D.The kinetic energy of water is converted by a dam into potential energy.Next If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle? Explain your reasoning. What might cause your soil to look like that? Porque nacer se escribe con c y toser con s? Analyze the following pattern 1, 2, 5, 10, 17,....what's the 8th term of the pattern How to find the solution to an f(x)=g(x) equation Working as a team to design a skyscraper would most satisfy which of these personal benefits of work? for odyssey1.a want2.being with others3.feeling respected4.earning money Consider the supply of peanut butter.1) Which of the following would cause a movement along the supply curve (a change in the quantity supplied) for peanut butter? Check all that apply.a) A change in the price of peanut butterb) A change in the number of producersc) A change in the price of labor (used in the production of peanut butter)2) Which of the following would cause a shift in the supply curve for peanut butter? Check all that apply.a) A change in the number of producersb) A change in expectations about the future price of peanut butterc) A change in the price of peanut butter According to the article, what are the main reasons for why teenagers rebel? Is -8-2(3+2n)+7n equivalent to -30-13n. Explain why or why not. An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and folding the sides up. Express the volume of the box as a function of x, and state the domain. 12. Write an equation to solve for the following strip diagram:421158628Equation:on: A bus travels the 100 miles between A and B at 50 mi/h and then another 100 miles between B and C at 70 mi/h. The average speed of the bus for the entire 200-mile trip is: a. More than 60 mi/h. b. Equal to 60 mi/h. c. Less than 60 mi/h. Round 227 to the nearest 100 How are seafloor sediments useful in reconstructing past ocean conditions? Choose all that apply. a. Biogenic oozes are composed of organisms that used to live on the seafloor, so their distribution provides information about deep-ocean conditions. b. Siliceous oozes on the seafloor indicate a warm surface ocean directly above the deposits. c. Sediments that accumulate on the seafloor provide information about ocean conditions at the time that the sediment was deposited. d. Calcareous oozes on the seafloor indicate a cool surface ocean directly above the deposits. e. Changes in the composition of the seafloor sediment reflect changes in the depositional environment. An ice cube at 0.00 C with a mass of 21.5 g is placed into 500.0 g of water, initially at 31.0 C, in an insulated container. Part A Assuming that no heat is lost to the surroundings, what is the temperature of the entire water sample after all of the ice has melted? Which of the following influenced the writing of the Declaration of Independence?A) Lockes idea of popular sovereigntyB) Hobbess idea of the need for powerful governmentC) Montesquieus theory of the social contractD) Voltaires idea of an enlightened monarchy A food stand sold hamburgers, ice cream cones, and hot dogs at a football game. Hamburgers were sold for $3.25, ice cream cones were sold for $2.50, and hot dogs were sold for $1.75. The total number of hamburgers, ice cream cones, and hot dogs sold was 104, and the total amount of money from these items was $248.75. If $80.50 was made just from selling hot dogs, how many ice cream cones were sold? A common finding in the study of aggression is that exposure to television is associated with increased aggressive behavior in children. You are curious as to whether peer pressure is really to blame (peer pressure encourages you to watch television and peer pressure encourages you to be aggressive). You are questioning which of the following criteria of causation?a. the criterion of covarianceb. the criterion of temporal precedencec. the third-variable criteriond. the criterion of external validity