IN PHOTO⬇️
PLEASE HELP!!!

IN PHOTOPLEASE HELP!!!

Answers

Answer 1

The simple interest is $2160 and the amount after 30 years is $6160.

Given that, principal =$4000, rate of interest =1.8%, and time period =30 years.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

a) Now, S.I =(4000×1.8×30)/100

= 40×1.8×30

= $2160

b) Amount = Principal + Interest

= 4000 + 2160

= $6160

Therefore, the simple interest is $2160 and the amount after 30 years is $6160.

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Related Questions

June wah the window for two hour and 45 minute he finihed wahing window at 3:05 p. M. What time did he finih wahing window

Answers

June started washing the window at 12:20 PM.

June washed the window for 2 Hours and 45 minutes.

As he finished washing the window at 3:05 PM

For calculating at what time did he start washing the window we need to subtract the time taken in cleaning the window from the time at which he finished washing.

As, for finding the starting time, we need to subtract 2 Hr. and 45 minutes from 3:05 PM.

As, 3:05 PM can be also written as 5 minutes post 3 which will be equivalent to (60+5) = 65 minutes post 2. (As there are 60 minutes in 1 Hr).

Now, 45 minutes before 2:65 minutes will be 2:20

Again 2 Hr. before 2:20 PM will be 12:20 PM.

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The correct question may be

June washed the window for two hours and 45 minutes he finished washing the window at 3:05 P. M. What time did he start washing the window?

Solve |x-5| + 7 = 15.

Answers

Answer:

C. x = 13  or x = -3

Step-by-step explanation:

|x - 5| + 7 = 15

|x - 5| = 8

x - 5 = 8  or  x - 5 = -8

x = 13  or x = -3

Answer: C. x = 13  or x = -3

Add 8x-9y+2z , -6x +7y-5z

Answers

Answer:

2x-2y-3z

Step-by-step explanation:

8x+-6x

=8x-6x

=2x

-9y+7y

=-2y

2z+-5z

= 2z-5z

=-3z

2x-2y-3z

8x - 9y + 2z

-6x + 7y - 5z

On adding these two equation :

8x + ( -6x) = 2x

-9y + 7y = -2y

2z + (-5z) = -3z

we will get :

2x - 2y -3z

.

In the addition/subtraction method, the two equations in the system are added or subtracted to create a new equation with only one variable. In order for the new equation to have only one variable, the other variable must cancel out. In other words, we must first perform operations on each equation until one term has an equal and opposite coefficient as the corresponding term in the other equation.

.

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Angles 1 and 7 are what type of angles?

A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding angles

Help Quickly Please!!!

Answers

Answer:

B. Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They have the same degree. So the answer is B

calculate the double integral. 3x sin(x + y) da, r = 0, π 6 × 0, π 3 r

Answers

The value of the double integral ∫∫3x sin(x + y) dA, R = [0, π/6] × [0, π/3] is  0.677

In this question we need to calculate the double integral. 3x sin(x + y) dA, R = [0, π/6] × [0, π/3]

i.e., to find ∫∫3x sin(x + y) dA, R = [0, π/6] × [0, π/3]

First we integrate the function 3x sin(x+y) as a function of y, treating the variable x as a constant.

G(x) = ∫_[0, π/6] (3x sin(x+y)) dy

G(x) = 0.402 xcos(x) + (3x sin(x) / 2)

Now we calculate the integral of the previous result as a function of x.

i.e., ∫_[0, π/3] G(x) dx

= ∫_[0, π/3] [0.402 xcos(x) + (3x sin(x) / 2)] dx

= 0.677

Therefore, the solution to the double integral. 3x sin(x + y) da, r = [0, π/6] × [0, π/3] is  0.677

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PLEASE HELP!!!!!! IT IS URGENT!!!
how to do question no 9 b?

Answers

Answer:

4 records sold on Wednesday, 32 records sold on Thursday!

Step-by-step explanation:

To do 9b, you need to set up our own equation!

Let's use W to represent records sold on Wednesday and T to represent records sold on Thursday.

It said 36 total records were sold on Wednesday and Thursday. This can be represented with the following equation ...

W + T = 36

It also tell us that on Thursday (T),  8 times the number of records sold on Wednesday were sold on Thursday. In equation form, this looks like ...

T = 8 × W

Now, let's use all this info to solve!

Let's first solve the equation W + T = 36

But, we need values! We have one! We know what T equals!

Let's plug in T

T = 8 × W

W + ( 8 × W ) = 36

Solve

W + 8W = 36

9W = 36

W = 4

4 records were sold on Wednesday!

Let's plug in W in our T equation to see how many records were sold on Thursday.

T = 8 × W

T = 8 × 4

T = 32

32 records were sold on Thursday!  

Wednesday can be represented with HALF A CIRCLE

and Thursday can we represented with FOUR CIRCLES

Please help me on this someone.

Answers

Ariel is correct, the statement is false and the equation has no solutions.

Is Ariel correct or not?

Ariel says that the given linear equation has no solutions, so we need to check that.

The linear equation is:

3y - 12 = 3*(y + 1)

If we expand the right side we will get:

3y - 12 = 3y + 3

Now we can subtract 3y in both sides, then we will get:

3y - 12 - 3y = 3y + 3 - 3y

-12 = 3

That is a false equation, thus there are no values of y such that the equation is true, then we don't have any solutions.

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What is the missing number?

Answers

Answer:

  42

Step-by-step explanation:

You want to know the missing denominator in the equation ...

  2/35 = 1/30 +1/x

Solution

Subtract 1/30 from both sides and simplify.

  2/35 -1/30 = 1/x

  (2·30 -1·35)/(35·30) = 1/x

  25/(35·30) = 1/x

  1/(7·6) = 1/42 = 1/x

The missing denominator is 42.

Use the graph to find the slope and write the equation of the line.

Answers

Answer:

The slope of the line is = 3/2

Answer:

Equation in Point Slope Form: y= 3/2x - 3

Step-by-step explanation:

Point slope form is y=mx+b

where m is the slope of the line (rise over run) which in this case is 3/2

b is the y intercept (where the line crosses the y axis) which in this case is at point (0,-3)

Which of the following statements is true about similar triangles? *
A. The measurements of corresponding angles differ between the two triangles.
B. Their corresponding angles are congruent, and the corresponding sides are proportional.
C. If two triangles are similar, both their corresponding sides and angles are always congruent.

Answers

Two triangles are similar when their corresponding angles are congruent, and the corresponding sides are proportional. Hence, option C s the most appropriate answer to the given question.

When we are given triangles, we can prove that two triangles are similar to the given conditions by applying various tests of similarity.

Similar triangles are triangles that have the same shape, but they may have different sizes.

Hence, to prove them to be similar, we have to prove the corresponding angles are congruent and the corresponding sides are proportional. Hence, option C is the only right choice for the given question.

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32. Write a rule to represents the
function
(2, 10), (4, 20), (5, 25), (7, 35), (9, 45)

Answers

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

A motorboat is capable of traveling at a speed of 10 miles per hour in still water. On a particular​ day, it took 15 minutes longer to travel a distance of 6 miles upstream than it took to travel the same distance downstream. What was the rate of current in the stream on that​ day?

Answers

The rate of current in the stream on that​ day is; 2 miles per hour

What is the rate of speed?

When dealing with relative velocity, we can say that;

When the motorboat travels downstream, then it means the total velocity will be;

Total velocity = Velocity of the motorboat in still water + Velocity of the stream.

If the motorboat travels upstream, the total velocity will be;

Total velocity = Velocity of the motorboat in still water - Velocity of the stream.

Thus,

Upstream speed = (14 mi/h - S)

Downstream speed = (14 mi/h + S)

Where;

S is the rate of current in the stream.

We are told that going downstream, it takes 15 minutes more to travel 12 miles, then we can write the system of equations as;

(14 mi/h + S)*T = 12 mi

(14 mi/h - S)*(T - 15 min) = 12 mi

Making T the subject in the first equation gives;

T = (12 mi)/(14 mi/h + S)

Plugging in (12 mi)/(14 mi/h + S) for T in the second equation gives;

(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi

Multiply both sides by (14 mi/h + S) to get;

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)

Since the speeds are in miles per hours, we can rewrite as:

- 15 min = -0.25 h

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)

168 mi²/h - 12mi*S  + 49mi²/h + 0.25h*S² = 168mi²/h + 12mi*S

- 12mi*S  + 49mi²/h - 0.25h*S² = 12mi*S

-24mi*S -  0.25h*S²  + 49mi²/h = 0

Solving this quadratic equation with online quadratic equation solver gives us; S = 2 mph

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What are each step of the formula for a area of a trapezoid to find b2.

Answers

Answer:

Step-by-step explanation:

Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

what are the hypothesis and the conclusion of the conditional? if anangle measures 130, then the angle is obtuse

Answers

The hypothesis of the conditional statement is "if an angle measures 130 degrees," and the conclusion is "the angle is obtuse."

A conditional statement is a statement in the form "if X, then Y," where X is the hypothesis and Y is the conclusion. In this case, the hypothesis is that the angle measures 130 degrees, and the conclusion is that the angle is obtuse.

An angle is obtuse if it measures more than 90 degrees but less than 180 degrees. Since 130 degrees is greater than 90 degrees but less than 180 degrees, the conclusion that the angle is obtuse follows logically from the hypothesis that the angle measures 130 degrees.

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Identify the measure of angle x please show work Bc I have too

Answers

Answer:

79°

Step-by-step explanation:

Angles on a line add to [tex]180^{\circ}[/tex].

[tex]28+x+73=180 \\ \\ 101+x=180 \\ \\ x=79[/tex]

At a bakery 5 bagels and 5 breakfast sandwiches cost $30.00 and 8 bagels and 2 breakfast sandwiches cost $24.00.

Create a graph of the scenario, using x to represent the cost of a bagel and y to represent the cost of a breakfast sandwich.

Select two points on each line to graph the lines.

Answers

it equals = kwasia

30-24=6

Please help it’s ASAP

Answers

27 is the test score of percentile score of 71 and the score of victor is 71.

What is Statistics?

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

[tex]R_{100} =\frac{100(N < )+\frac{1}{2} N}{N_{t} }[/tex]

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60 th percentile.

[tex]R_{100} =\frac{100(N < )+\frac{1}{2} N}{N_{t} }[/tex]

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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tell me about the relationship between first floor square footage (1stflrsf; column o) and sale price. what is the r-squared?

Answers

The Pearson correlation coefficient (r) is used to discover styles in matters while the coefficient of determination (R²) is used to discover the electricity of a model.

R-Squared is a statistical degree of healthy that suggests how a good deal version of a established variable is defined through the unbiased variable(s) in a regression version.Interpretation of R-squared/Adjusted R-squared.

R-squared measures the goodness of healthy of a regression version. Hence, a better R-squared suggests the version is a great healthy even as a decrease R-squared suggests the version isn't an awesome healthy.

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Which of the following is the solutionsto | x +11|< 17?
OA. x< 6 and x < -28
OB. x< 6 orx>-28
OC. x<6
OD. x< 6 and x > -28

Answers

Answer:

OB

Step-by-step explanation:

|x+11|<17

x+11<17

x<17-11

x<6

-(x+11)<17

-x-11<17

-x<17+11

-x<28\×(-)

x>-28

Three sons inherited 2,179 ducats from their father. The father bequeathed the older brother 2 times more money than the younger one. At the same time, the middle brother should receive more than the younger one, but less than the older one. How many ways are there to fulfill the will of the father, if each son must receive a whole number of ducats?

Answers

Three sons inherited 2,179 ducats from their father. The number of ways the father can bequeath the resources is

108 ways

How to find the number of ways of fulfilling the fathers wish

Information from the problem helped in generating the following equations

The father bequeathed the older brother 2 times more money than the younger one

let the youngest receive an amount equivalent to y

then the eldest will receive 2y

let the middle receive x

Using the sharing formula described we have

y + 2y + x = 2179

3y + x = 2179

the middle brother should receive more than the younger one, but less than the older one

x > y

x < 2y

plotting the equations on a graphing calculator and getting the solutions we have

(544.75, 544.75) and (871.6, 435.8)

y ranges from 435.8 to 544.75 using whole numbers

436 to 544

The number of ways

= 544 - 436

= 108 ways

the number of ways of sharing according to fathers will is 108

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A student correctly draws a square with side lengths of 4 centimeters. Which statement about the resulting figure is true?

A. The figure has three 45°
angles and exactly one pair of parallel sides.

B. The figure has three 90° angles and exactly one pair of parallel sides.

C. The figure has four 60°
angles and exactly two pairs of parallel sides.

D. The figure has four 90°
angles and exactly two pairs of parallel sides.

Answers

D) The figure has four 90° angles and exactly two pairs of parallel sides.

What is parallel sides?

In geometry, parallel lines are two lines that exist in the same plane, are equally spaced apart, and never cross one another. There is a range of possible shapes, both horizontal and vertical.

Zebra crossings, stacks of notebooks, and the nearby railroad tracks are just a few places where parallel lines can be observed. The distance between two parallel lines at their perpendicular intersections is constant.

Different shapes' sides go parallel to one another. The single arrow lines in the rectangle below are parallel to one another, and the double arrow lines are also parallel to one another.

The symbol for parallel lines is ||, which consists of two vertical lines placed between the names of the lines.

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PLEASE HURRY! Jacob is saving to buy an electronic tablet that costs $380 including tax and has saved $150. Jared plans to earn the rest of the money by mowing lawns and will charge $12 for each lawn he mows.

Write an inequality to find x, the minimum number of lawns Jacob will need to mow in order to buy the ticket.

Show how to solve the inequality and explain what the solution means.

Answers

Answer:

To find the minimum number of lawns Jacob will need to mow, we can set up the following inequality:

12x + 150 >= 380

To solve this inequality, we need to get x by itself on one side of the inequality. We can do this by subtracting 150 from both sides of the inequality:

12x >= 230

Then, we can divide both sides of the inequality by 12 to get the value of x:

x >= 19.17

Since x represents the number of lawns Jacob needs to mow, it must be an integer. Therefore, the minimum number of lawns Jacob will need to mow is 20.

This means that Jacob needs to mow at least 20 lawns in order to earn enough money to buy the electronic tablet. If he mows more than 20 lawns, he will have more than enough money to buy the tablet.

Q(2, -4), R(-6, -8), S(-10, 2), T(-2, 6)

Answers

The Least Common Multiplier of [tex]$q(2-4), r(-6-8), s(-102), t(-26)$[/tex] is [tex]$-9282 q r s t$[/tex].

What is Least Common Multiplier ?

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Lowest Common Multiplier (LCM)

The LCM of a, b is the smallest multiplier that is divisible by both a and b

Factor [tex]$q(2-4): \quad-2 q$[/tex]

Factor [tex]$r(-6-8): \quad-2 \cdot 7 r$[/tex]

Factor [tex]$s(-102): \quad-17 \cdot 2 \cdot 3 s$[/tex]

Factor [tex]$t(-26): \quad-13 \cdot 2 t$[/tex]

Multiply each factor with the highest power:

[tex]$$-13 \cdot 17 \cdot 2 \cdot 3 \cdot 7 \cdot q \cdot r \cdot s \cdot t$$[/tex]

Simplify

[tex]$-9282 q r s t$[/tex]

Complete question: Find the Least Common Multiplier  of Q(2, -4), R(-6, -8), S(-10, 2), T(-2, 6) is:

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2. What is the x-coordinate of the image of point (2,-5) after reflection in the
line y=x?

Answers

The X coordinate of the image is (-5,2)

What is meant by coordinate ?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

The coordinates of one point in the coordinate system are included in an ordered pair. An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point.

Given

The coordinates for x and y change when you consider the line y=x. The end product is (-5,2)

Because (-5,2) its reflection means x coordinate will y coordinate and y coordinate will x coordinate so the coordinate be (-5,2)

The complete question is : Find the coordinates of the image of point (2,-5) after a reflection in the line y=x

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work out the surface area of this cylinder

Answers

Answer:207.24 and 483.56

Step-by-step explanation:

The formula for the surface area of a cylinder is:

A=2πrh+2πr2

Meaning that we only have to plug the values in.

2π(3)(8)+2π(3)²

=48π+18π

=66π

=66(3.14)

=207.24

Second Cylinder:

2π(7)(4)+2π(7)²

=56π+98π

=154π

=154(3.14)

=483.56

Find the equation of the line, given the following information:
Passes through (-9,3) and is perpendicular to y =1/2x+6.

Answers

Answer:

y = -2x - 15

Step-by-step explanation:

We are given 2 pieces of information: (1) a point our line passes through, and (2) a line it is perpendicular to. The only thing we need from (2) is the slope.

We know that perpendicular lines have opposite signs and are inverses (denominator and numerator switched). So our line must have a slope of

m = -2

Using our equation for a line: y = mx+b, our line so far is

(I) y = -2x + b

Let's use the point we have (-9,3) and substitute what we know into equation (I) to find b.

x = -9

y = 3

(I) (3) = -2(-9) + b

3 = 18+b

b= -15

Now we have m and b so we can write the equation of our line:

y = -2x - 15

Write an equation of the line that passes through the given points (-6,2) (1,0)

Answers

Answer:

Y= (-2/7)x + (2/7)

Step-by-step explanation:

0-2= -2

1-(-6)= 7

-2/7= -2/7. (slope)

y=mx+b

2=( -2/7)(-6)+b

2= 12/7 +b

2/7 =B

so Y= (-2/7) + (2/7)

I also plugged in the answer to make sure it matches up.

Melia get paid $40 for mowing her neighbor' lawn. She pend $16 on a bracelet and $7 on lunch. Which equation i written and olved correctly to how how much money (m) Melia ha left?

Answers

The equation written is m + 16 + 7 = 40 and the amount of money Melis has left is $17.

As mentioned, assuming the amount of money left be m. Sum of left money and spent money will be equal to earned amount of money. Representing this as equation -

m + 16 + 7 = 40

Performing addition on Left Hand Side of the equation

m + 23 = 40

Rewriting the equation

m = 40 - 23

Performing subtraction on Right Hand Side of the equation

m = 17

Thus, Melia is left with $17 from her earnings.

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Someone needs help with my homework, help me! Can you fill in the blinks of Angle chase?

Answers

Answer:

Solution in picture.

Step-by-step explanation:

A triangle has three angles which adds up to 180°.

First do the easy ones such as 90°. Then the Triangle. Then the vertical angles. Then the two angles of supplementary angles which adds up to 180°. Etc.

a card is draw from a standard deck of 52 playing cards find the probability the card is a jack or a heart

Answers

Answer:

4/13

Step-by-step explanation:

The question asking to find P(jack or heart)

You have to use the formula below:

P(A or B) = P(A) + P(B) - P(A and B)

Event A here is jack and event B is heart, now let's find the three probabilities on the right side to be able to find the left side.

P(jack) =4/52 because there are 4 jacks in a standard deck of cards

P(heart) =13/52 because there are 13 heart cards

P(jack and heart) =1/52 because there is only one jack card with a heart symbol

Now, plug in the three answers in the above formula:

P(jack or heart) = 4/52 + 13/52 - 1/52

this equal to 16/52

Last step, reduce the result by dividing the top and the bottom numbers by 4

The final answer is 4/13

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(you must use the exponentiation method, and not guess the answer.) Question 3 (6 points) Magnesium metal reacts quantitatively with oxygen to give magnesium oxide, MgO. If 5.00 g of Mg and 5.00 g of O2 are allowed to react, what weight of MgO is formed, and what weight of which reactant is left in excess?Question 4 (6 points) Mr.T thinks the windows need cleaning (instead of preparing his lesson), (What a mistake!). So instead he starts cleaning his office because it is a disaster. He pulls out the ammonia (NH3) and gets to work. It takes him 5 hours!! During that time he decides to do a little chemistry, because he doesn't want to fall behind. He weighs his bottle of ammonia before (32.3g) and after (30.7g) he cleans. Using this information, he calculates how many atoms are present in the ammonia he used during cleaning.Question 5 (6 points) Mr.T keeps getting in trouble for not cleaning his plate completely after supper every night. He argues that it is because there is water-insoluble compounds on his plate so the water won't clean it. Being the cheeky chemist that he is he comes up with a method to make carbon disulfide, a natural solvent for water-insoluble compounds like fats, oils, and waxes. He is going to make millions!! The unbalanced reaction is shown below. When 27.5 g of carbon reacts with 235 g of sulfur dioxide, what mass of carbon disulfide can Mr.T make? Balance the following equation and use it to determine the limiting reagent in order to answer the problem. NEED HELP PLS If you weigh 982 N on Earth, what would your weight be on the surface of Jupiter?g = 9.8 m/s^2 on Earth's surfaceg = 26.0 m/s^2 on Jupiter's surfacemass of the Earth is 6 x 1024 kgmass of Jupiter is 1.9 x 1027 kgradius of Earth is 6.4 x 106 mradius of Jupiter is 7 x 107 mRound your answer to the nearest whole number.(ANSWER IS 2605 BUT I NEED TO KNOW HOW TO GET THE ANSWER) Which table of constant of proportionality between y and x of 8/5? Genetically modified organisms, or GMOs, include crops which have been genetically engineered in the laboratory. Genes for desirable traits, such as the resistance to certain insects, can be inserted into the DNA of cells that divide for plant growth. Which is MOST LIKELY to be an ethical concern about GMOs? Responses Desirable traits are given to crops. Desirable traits are given to crops. Local insects may not be able to eat crops. Local insects may not be able to eat crops. Organisms with new genotypes may appear. Organisms with new genotypes may appear. Scientists can't predict how these changes affect the local ecosystem. what percent of the time required to complete a full cycle do the cells typically spend in interphase contrast the arguments concerning union membership that are likely to be presented by a union with those likely to be presented by an employer. employees who want to unionize to get the opportunity to fraternize with other employees who have similar concerns are motivated by Which propaganda technique is being used when a Presidential candidate attends a cookout or baseball game withvoters? A) testimonialB)plain folksC) bandwagon D) transfer Help! will mark brainlies! Lines q, r, s, and t are distinct lines in the same plane. Decide if lines q and t are parallel, perpendicular, or if there is not enough information given. _____________ therapy best known for its assumption that how you feel about an event is the result of your beliefs about that event. Commutative Property8y-0.2y+0.5y+2.2+1.3-0.4Step 1Step 2Step 3Step 4(8-0.2+0.5)+(2.2 +1.3-0.4)(8y-0.2y+0.5y)+(2.2+1.3-0.4)8y+2.2-0.2y+1.3+0.59-0.4DRAG AND DROPAN ITEM HEREDRAG AND DROPANTTEM HEREDRAG AND DROPAN ITEMSHERIE8.3y + 3.1Associative Property Distributive PropertyReasonDRAG AND DROPAN ITEM HEREDRAG AND DROPAN ITEM HEREDRAG AND DROPANATEM HEREFinal ExpressionExplanationReorderingGroupingFactoringSimplifying