What is the value of y in the equation 2(3y + 6 + 3) = 196 16?

What is the value of y in the equation 2(3y + 6 + 3) = 196 âˆ’ 16?

Answers

Answer 1

2(3y + 6 + 3) = 196
2(3y + 9) = 196
6y + 18 = 196
6y + 18 - 18 = 196 - 18
6y = 178

Divide both sides by 6

y = 178 / 6

y ≈ 29.667

Related Questions

If there is a ratio of 3 to 2, than how many are there in the first number if there is a total of 80?

Answers

Answer:

Step-by-step explanation:

The total number of "ratio units" is 3+2 = 5, so each stands for 80/5 = 16 items. Then 3 ratio units stand for 3×16 = 48 items.

3 : 2 = 48 : 32

The first number is 48.

The volume of a right rectangular prism is 573.3 cm³. The length of the right rectangular prism is 7.35 cm and the height is 16.25 cm. What is the width of the right rectangular prism? Enter your answer in the box.

Answers

The width of the right rectangular prism is 4.8. You multiply 7.35 by 16.25 and then you divide 573.3 by that answer. So, 573.3 ÷ 119.4375 = 4.8. Hope this helped

Answer:

4.8

Step-by-step explanation:

(evaluating expressions) what is the value of the expression 2½x + 3⅔y if x = 4 and y = 3? * 21

Answers

2 1/2 (4) + 3 2/3 (3)
10 + 11 = 21

A rectangle has a length that is 3 times the width. Use the formula P = 2l +2w to determine the length if the perimeter is 32 and the width is 4 a. 12 c. 32 b. 8 d. 4

Answers

Let the width be 4
Let the lenght be 3x because it is 3 times the width
P = 2L + 2W
32= 2(3X)+2(4) Combine like terms
32 = 6x+ 8 solve for x
24=6x divide
x= 4
Answer: D

Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius of the can to be 1 3/8 times the height of the can. He models the can on a coordinate grid as a rectangle in the first quadrant that will be rotated around the y-axis to create the 3-dimensional can. What will be the diameter of the can?

Answers

The height of the can for this case is given by:
h = 40 mm
The radius of the can is given by:
r = (1 3/8) * h
Substituting values:
r = (1 3/8) * 40
r = 55 mm
Therefore, the diameter of the can is:
d = 2 * r
d = 2 * 55
d = 110 mm
Answer:
The diameter of the can will be:
d = 110 mm

what is 4.6 repeating as a fraction???
please help!! :'(

Answers

Your answer would be 4 2/3.

Let

x=4.66¯6

Then 10x=46.66¯6

So 10x−x=46.66¯6
4.66¯6.−−−−−−−− subtract
9x=42

Divide both sides by 9

x=429=423

Simplify the expression 1 + 2a - 3(4+5a) + 6(7-8a)

Answers

Answer:

31 - 61a

Step-by-step explanation:

We distribute, being especially careful with the negative signs:

1 + 2a - 3(4 + 5a) + 6(7 - 8a)

1 + 2a - 3 * 4 - 3 * 5a + 6 * 7 - 6 * 8a

1 + 2a - 12 - 15a + 42 - 48a

31 - 61a

The required simplified expression of the given expression is 31 - 61a.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

As mentioned in the quesiton, to simplify the expression 1 + 2a - 3(4+5a) + 6(7-8a),
⇒ 1 + 2a - 3(4+5a) + 6(7-8a),
⇒ 1 + 2a - 12 - 15a + 42 - 48a

Adding alike terms,
⇒ 31 - 61a

Thus, the required simplified expression of the given expression is 31 - 61a.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Which of the following are exterior angles ? Check all that Apply NEED ASAP

Answers

Answer:

∠2 , ∠3 , ∠5 ,∠6 are exterior angles

Step-by-step explanation:

Given : Figure.

To find : Which of the following are exterior angles.

Solution : We have given a figure with angle 1 ,2, 3,4,5,6.

Exterior angle : An angle which lies outside the closed figure.

We can see ∠1 and ∠4 area lies in closed figure.

But all other angle ∠2 , ∠3 , ∠5 ,∠6 are lies outside so, these are the exterior angles.

Therefore, ∠2 , ∠3 , ∠5 ,∠6 are exterior angles

Answer:

5. 6. and 2

Step-by-step explanation:

All exterior ANGLES that are still connected to the triangle. 3 Is not an angle on Triangle 1. It is its own triangle, as well as a point.

Graph the equations to solve the system Y equals 1/3 X +6 and why equals 1/3 X +4

Answers

For this case we have the following functions:
y = (1/3) x + 6
y = (1/3) x + 4
We note that both lines have the same slope in this case given by:
m = 1/3
Therefore, the lines are parallel. As they are parallel, they are not cut at any point.
Thus, the system of equations has no solution.
Answer:
The system has no solution (parallel lines)

Graph the equations to solve the system Y equals 1/3 X +6 and y equals 1/3 X +4

Following the formula: y=mx+b,
where:
m= slope
b=y-intercept
As observed in the given equations, they have the same slope which is equal to 1/3 but each have different y-intercept which is 6 and 4.

Note that two lines are parallel if their slopes are equal and they have different y-intercepts.

Upon graphing, it had seen that the two functions are parallel.
See attached picture for the graph.

Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.

Answers

Brad is correct.

Polynomials do not include negative exponents; this means there can be no variables in the denominator. If two polynomials do not divide evenly, the remainder is written as a fraction with the divisor (which can include a variable) in the denominator. This is not a polynomial.

please please please someone help me no one on this site will help me. i so confused. please help.

PLEASE SOMEONE HELP ME!!!!! ILL GIVE BRAINLIEST
1. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = –0.04x2 + 8.3x + 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land?
A. 208.02 m
B. 416.30 m
C. 0.52 m
D. 208.19 m

2. A catapult launches a boulder with an upward velocity of 184 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 184t + 20. How long does it take the boulder to reach its maximum height? What is the boulder's maximum height.
A. Reaches a maximum height of 11.6 feet after 5.75 seconded.
B. Reaches a maximum height of 549 feet after 11.5 seconds.
C. Reaches a maximum height of 549 feet after 5.75 seconds.
D. Reaches a maximum height of 23.2 feet after 11.6 seconds.

3. A ball is thrown into the air with an upward velocity of 32 ft/s. Its height (h) in feet after t seconds is given by the function h= -16t^2 + 32t + 6. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.
A. Reaches a maximum height of 22 feet after 1.00 second.
B. Reaches a maximum height of 22 feet after 2.00 seconds.
C. Reaches a maximum height of 44 feet after 2.17 seconds.
D. Reaches a maximum height of 11 feet after 2.17 seconds.

Answers

Problem One
The rocket will hit ground level when y = 0. The plan is is to set y =0 and solve the quadratic. Be careful how you go about to this. It is an odd way to represent this kind of problem. The question does say that y defines how far off the ground the rocket is at the beginning. Therefore the height of the building does not matter (or shouldn't). All that matters is that y is ground level when y = 0.

a = - 0.04
b = 8.3
c = 4.3

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]
[tex]\text{x = }\dfrac{ -8.3 \pm \sqrt{8.3^{2} - 4*(-0.04)*(4.3) } }{2(-0.04)}[/tex]

From here you should be able to calculate the answer. One of them is -0.52 which is not the one you use. Minus heights do not matter in these problems yet. The other root is your answer.

Problem Two

Problem two is the usual way to express what happens to a projectile in the air. It again is going to be solved by the quadratic equation.

There are two ways to do this problem. If you know physics, you can solve it using the projectile formulas. If you don't , then you can use the trick in the previous problem. You can calculate how long it takes to hit the ground (h will then be zero).

This problem is rather nasty for someone who has not taken physics. There is another trick. You have to divide the time you get from the previous step by 2. When you solve the quadratic for h = 0, you get 11.6 seconds. But that is the time it takes to hit the ground. Half time is when the boulder will be at it's highest point. t = 11.6 / 2 = 5.8 (which your answers record as 5.75).

h = 0

a= -16

b = 184

c = 20

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]

[tex]\text{x = }\dfrac{ -184 \pm \sqrt{184^{2} - 4*(-16)*(20) } }{2*(-16)} [/tex]

The answer from this equation is t = 11.6

The time you want is t = 5.75. You can calculate the maximum height by putting 5.75 in for t.

Problem 3

Problem 3 is done exactly the same way as problem two. You just have different numbers. When h = 0 the time taken to reach zero = 2.17 seconds. Therefore the time you want to put into the original equation for the maximum height is 1/2 of 2.17 seconds. From there you can find the maximum height.

Note: there is a lot of math in here. I have gotten you past the physics. I have also alluded to the answers. I think you should be able to carry out the rest.

Today an exercise equipment store took 15% off the price of a treadmill, and for the next 2 days, it will take 15% off the previous day's price. If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now? (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 2 points)

Answers

To find the price of the treadmill, you can calculate the amount you will pay after each day and then multiply by the percentage that you will pay for each additional day.

You should use 85% (100% - 15%) as the part you will pay for a quicker calculation.

$4000 x 0.85 = $3400 (after the first day)
$3400 x 0.85 = $2890 (after the second day)
$2890 x 0.85 = $2456.50 (after third day)

If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now? I interpreted this as the discount would be applied for 3 days.

A line passes through (-7, -5) and (-5, 4). a. Write an equation gor the line in point-slope form. b. Rewrite the equation in standard form using integers.
A. Y-5=9/2(x+7);-9x+2u=-53
B. Y+5=9/2(x-7);-9x+2y=53
C. Y+5=9/2(x+7);-9x+2y=53
D. Y+7=9/2(x+5);-9x+2y=31

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -7 &,& -5~) % (c,d) &&(~ -5 &,& 4~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-(-5)}{-5-(-7)}\implies \cfrac{4+5}{-5+7}\implies \cfrac{9}{2}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{9}{2}[x-(-7)] \\\\\\ \boxed{y+5=\cfrac{9}{2}(x+7)}\implies y+5=\cfrac{9}{2}x+\cfrac{63}{2}\impliedby \begin{array}{llll} \textit{and now we multiply}\\ \textit{both sides by }\stackrel{LCD}{2} \end{array} \\\\\\ 2y+10=9x+63\implies \boxed{\stackrel{\textit{standard form}}{-9x+2y=53}}[/tex]

just a quick note, multiplying both sides by the LCD, whatever it may be, simply gets rid of the denominators.

WILL MARK BRAINLIEST! PLEASE HELP
In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?
A. 64
B. 52
C. 41
D. 60

In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?
A. 28.5
B. 15.6
C. 14.1
D.31.2

thank you.

Answers

Part 1) In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?

we know that
the law of cosines establishes that
c²=a²+b²-2*a*b*cos C

in this problem

c=QR
a=PQ=7.5
b=PR=8.4
C=angle P=43°
c²=a²+b²-2*a*b*cos C----> c²=7.5²+8.4²-2*7.5*8.4*cos 43°
c²=34.66--------> c=5.89
QR=5.9

applying the law of sines
7.5/sin R=5.9/sin 43-----> 7.5*sin 43=5.9*sin R---> sin R=7.5*sin 43/5.9
sin R=0.8669---------> R=arc sin (0.8669)----> R=60.11°----> R=60°

the answer Part 1) is the option
D. 60

Part 2) In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?

we know that
∠C=180-(62+43)-----> ∠C=75°

Applying the law of sines
22/sin 43=AB/sin 75------> AB=22*sin 75/ sin 43-----> AB=31.16 in
AB=31.2 in

the answer Part 2) is
D.31.2

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?

Answers

i would say about $10 about 1/6th the time

Answer:

$30

Step-by-step explanation:

To find the expected value, first we find the outcomes for the sample space.

Rolling a 6-sided die, we have

1, 2, 3, 4, 5, 6

There are 2 values that are whole number multiples of 3: 3 and 6.

There is a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 6.

There is a 1/6 chance of rolling a 1, 1/6 chance of rolling a 2, 1/6 chance of rolling a 4, and 1/6 chance of rolling a 5.

Next we multiply the value won or lost by each probability.

If the player rolls a 3, they win 3(20) = 60. Multiplying it by its probability, we have

1/6(60) = 60/6 = 10

If the player rolls a 6, they win 6(20) = 120. Multiplying it by its probability, we have

1/6(120) = 120/6 = 20.

If the player rolls a 1, 2, 4 or 5, they win nothing. 0 times all of these will be 0.

Lastly, we add together these products:

10+20+0+0+0+0 = 30

What is the area of a circle with a radius of 13 millimeters?
(Use 3.14 for Pi.)

Answers

Final answer:

The area of a circle with a radius of 13 millimeters is calculated using the formula πr², which equals 530.66 mm².

Explanation:

The area of a circle is calculated using the formula πr², where 'r' represents the radius of the circle and 'π' (Pi) is a mathematical constant approximately equal to 3.14. When you have a circle with a radius of 13 millimeters, you would substitute 13 into the formula in place of 'r'.

So, the calculation for this circle's area becomes π*(13)² = 3.14 * 169. When you calculate this, you get 530.66 mm². Therefore, the area of a circle with a radius of 13 millimeters is 530.66 mm².

Learn more about Area of a Circle here:

https://brainly.com/question/28642423

#SPJ3

Reduce the fraction to lowest terms. 38x^2yz^2/ -19 yz^2z^3

Answers

Hope this is helpful.

What percent of 51 is is 40?

Answers

the answer is 78.43%

How do I do this? Please help

Answers

with intersecting chord lengths multiplying the 2 given lengths of one chord needs to equal the multiplication of the 2 lengths of the 2nd chord

so on chord FH you have 3.5 and 4.8
multiply those: 3.5 x 4.8 = 16.8

so now chord GI needs to equal 16.8
to find Y divide 16.8 by 2.4

y = 16.8 / 2.4 = 7

y = 7

A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. one flower is chosen at random and given to a woman. another flower is then chosen at random and given to a different woman. what is the probability that both flowers are pink roses?

Answers

0.267 should be right

Answer:

Step-by-step explanation:

The probability that the first flower is a pink rose is 4 /15.

The probability that the second flower is a pink rose is 3 /14 .

Therefore, the probability that both flowers are pink roses is

4 /15 · 3 /14 = 0.057

Miguel’s teacher asked him to color 4/8 of his grid. He must use 3 colors: red, blue, and green. There must be more green sections than red sections. how can Miguel color the sections of his grid to follow all the rules.

Answers

color 2/8 of grid in green, 1/8 grid in red and 1/8 grid in blue

What is the eleventh term in the sequence 17, 24, 31, 38…?

Answers

I got 87. hope this helps!

A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles:

An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 62 inches. The width of the rectangle is 27 inches.

Which of the following is the perimeter of the inner edge of the frame?

(π = 3.14)

146.78 inches

208.78 inches

293.56 inches

347.56 inches

Answers

To solve this problem you must apply the proccedure shown below:

1. You have that:

- An oval is formed by a rectangle with semicircles at each end.
- The length of the rectangle is 62 inches. The width of the rectangle is 27 inches.

2. Then, the perimeter is:

P=((3.14)(diameter)/2)(2)+(Lenght of the rectangle)(2)

P=((3.14)(27 inches)/2)(2)+(62 inches)(2)
P=208.78 in

Answer: P=208.78 in

i took the test on flvs its right

2x-14y= -16 solve for x ..

Answers

The first step for solving this expression is to move the variable to the right side of the equation and then change its sign.
2x = -16 + 14y
Now divide both sides of the equation by 2.
x = -8 + 7y
Since we cannot simplify this equation any further,, the correct answer will be that x = -8 + 7y.
Let me know if you have any further questions.
:)

2x - 14y = -16

Move all the terms without the variable on the other side of the equation. Add 14y to both sides of the equation.

2x = -16 + 14y

Divide both sides by 2.

x = -8 + 7y is your answer.

What is the surface area of this square pyramid?

Round your answer to the nearest tenth.

Answers

The question is to find the surface area of the square pyramid:

This pyramid encloses a volume V, so it has five surfaces, namely:

*One square base.
*four triangular surfaces.

1. Surface area of the square base:

All four sides are equal, so:

As = LxL = (8.4yd)(8.4yd) = 70.56[tex]yd^2[/tex]

2. Area of triangular surfaces:

Given that the angle β=60°, we have four equilateral triangles which have three equal sides each, therefore:

At = [tex] 4(\frac{base.height}{2}) [/tex] = [tex]2L.Ap[/tex]

Now we need to calculate the apothem Ap.

Using trigonometry, we can calculate Ap using the sine function:

sinβ = [tex] \frac{opposite}{hypotenuse} [/tex] = [tex] \frac{Ap}{a} [/tex]

Given that the triangles are equilateral, then a = L

∴ Ap = (a)(sinβ) = 8.4sin(60°) = (8.4)([tex] \frac{ \sqrt{3} }{2} [/tex]) = 7.275yd

So:

[tex]At = 2(8.4)(7.275) = 122.22 yd^{2}[/tex]

Therefore, the surface area of the pyramid is:

A = As + At = 70.56 + 122.22 = 192.78 [tex] yd^{2} [/tex]

The answer is 192.8 yd²

What formula would I use to find A?

Answers

For this case by cosine theorem, we can use the following formula to find the value of a:
a ^ 2 = (6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70)
Clearing a we have:
a = root ((6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70))
Answer:
A formula to find A is:
a = root ((6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70))

Michelle will be 72 years old in eighteen years. How old is Michelle now?

Answers

Michelle would be 54 years old.

72-18=54

She is 54 years old, since you would subtract 18 from 72.

If the reserve rate is 6% and a bank receives a deposit of $14,000, how much of the $14,000 is the bank free to loan out?

Answers

Apex said $13160 was the right answer

The bank must keep 6% of the $14,000 deposit as a reserve, which amounts to $840. Therefore, it is free to loan out the remaining $13,160.

If the reserve rate is 6% and a bank receives a deposit of $14,000, the bank is required to keep 6% of that deposit as reserves. To calculate the amount the bank needs to keep in reserves, we multiply the total deposit by the reserve rate:

Reserve amount = Total deposit x Reserve rate

Reserve amount = $14,000 x 0.06 = $840

Now, to find out how much the bank is free to loan out, we subtract the reserve amount from the total deposit:

Amount available for loans = Total deposit - Reserve amount

Amount available for loans = $14,000 - $840 = $13,160

The bank can loan out $13,160 of the initial $14,000 deposit.

A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (1.1%, 3.2%). what is the point estimator of the mean percentage of reservations that are canceled on the day of the flight?

Answers

Error = 1/2(Maximum range - Minimum range) = 1/2(3.2-1.1) = % = 0.0105

If p is the point estimator;

Then,
Minimum range = p - Error
Maximum range = p + Error

Solving one of the two expressions,
0.011 = p - 0.0105 => p = 0.011+0.0105 = 0.0215 = 2.15%

Answer:

Read more on Brainly.com - https://brainly.com/question/9975138#read more Error = 1/2(Maximum range - Minimum range) = 1/2(3.2-1.1) = % = 0.0105If p is the point estimator; Then, Minimum range = p - Error Maximum range = p + Error Solving one of the two expressions,0.011 = p - 0.0105 => p = 0.011+0.0105 = 0.0215 = 2.15%

Step-by-step explanation:

A total of 589 tickets were sold for a play. They were either adult tickets or student tickets. There are 61 fewer student tickets sold than adult tickets. How many adult tickets were sold?

HELLLPP ASAPPP

Answers

Adult tickets: 325
Student Tickets: 264

You can get this by setting adult tickets equal to x and student tickets equal to x - 61. Then you can set equal to 589 and solve for x.

Other Questions

What is the term for when congress passes a budget that spends more money than the government is projected to collect in taxes? Name three factors that influence the rate at which a solute dissolves in a solvent. Ch3cooh (acetic acid) can form hydrogen bonds between its molecules. based on the lewis structure shown below, how many hydrogen bond donor and acceptor atoms does this molecule have? Which of the following provides the best evidence for the idea that multicellular organisms are composed of highly organized arrangements of differentiated cells? A. The chloroplasts of a plant cell capture light energy that can be used to make food. B. A mouse cell divides into two identical daughter cells through the process of mitosis. C. A frog cell obtains energy from the bonds of food molecules through cellular respiration. D. Sheets of bone cells in a rabbit's body are connected to muscle cells that allow movement. On a certain day, $1 is worth 30.23 Russian rubles.Omar has $75.How many rubles will he get in exchange? The rms current output in a circuit is 7.75 A. What is the maximum current? How is Hektor different from his mother and father in The Iliad of Homer? jimmy is 6 years old. his parents have always yelled at him when angry but they have never hit him. they do, however, yell at and slap each other. based on albert bandura's and other studies, what is jimmy likely to learn? Isomers have identical _________formulas; however, they have different ___________formulas. EmpiricalMolecularStructural When did polyrhythms and polytonality really become widespread? Romantic era 20th Century Renaissance none of the above The fluid in glomerular capsule is similar to plasma except that it does not contain a significant amount of ________.the glomerulus differs from other capillaries in the body in that it ________. the glomerulus differs from other capillaries in the body in that it ________. is drained by an efferent arteriole is impermeable to most substances has a basement membrane has a blood pressure much lower than other organ systems Which of the following personal health practices should a person follow to prevent obesity? A) Limit spending time outdoors in summers. B) Have a balanced diet and exercise regularly. C) Wash hands frequently to maintain proper hygiene. D) Get the DNA modified to replace the faulty gene. The study of chemistry physics and astronomy are closely related true or false Without graphing, classify the following system as independent, dependent, or inconsistent. y=-3x+4 and 6x+2y=8 a. independentb. dependentc. inconsistent please help Sodium-24 has a half-life of 14.8 hours. how much of a 227.0 mg sodium-24 sample will remain after 3.7 days? Many believe it is wise to have a __________ when counseling couples due to the complexity of the work. a. "no secrets" policy b. attorney c. hidden agenda d. three-year contract (5x^2+38x+18) divided (x+7) what is the quotient and the remainder Zach sees a therapist to overcome his fear of heights. zach learns to relax by focusing his attention on a pleasant stimulus, in order to remove his attention from the anxiety producing situation. in this example, zach is using ____________ to produce relaxation. How many of the first 1992 prime numbers have reciprocals less tahn 0.05? What is a grand jury?a. a jury that determines whether the rights of the accused have been violatedb. the name for the juries used in federal courtsc. a jury that determines whether there is enough evidence to justify a triald. a jury that determines the sentence after guilt has been proven?