Need help with this ASAP not good with angles. Will mark brainliest for first actual answer!

Need Help With This ASAP Not Good With Angles. Will Mark Brainliest For First Actual Answer!

Answers

Answer 1
A and c are 100 degrees and b is 80
Answer 2

Step-by-step explanation:

[tex] m \angle \: a + 80 \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \therefore \: a = 180 \degree - 80 \degree \\ \huge \red { \boxed{\therefore \: a = 100 \degree}} \\ \\ \huge \purple { \boxed{m \angle \: b = 80 \degree }} \\ (corresponding \: \angle s) \\ \\ m \angle \: c=m \angle \: a \\ (vertical \: \angle s) \\\huge \orange { \boxed{ \therefore \: m \angle \: c = 100 \degree}}[/tex]


Related Questions

Kyle is traveling to Destin over spring break. The total drive is 617 miles. If he travels at a speed of 70 miles per hour, which of the
following functions represents the number of remaining miles, M(x), he has to travel to reach his destination after x hours?
A. M(x)=70-617x
B. M(x)=547x
C. M(x)=617-70x
D. M(x)=70x

Answers

Answer:

D)M(x)=70x

Step-by-step explanation:

The function that represents the remaining distance after x hours is M(x) = 617 - 70x (option C).

The question asks about the function that represents the number of remaining miles, M(x), Kyle has to travel after x hours at a speed of 70 miles per hour. To calculate the remaining distance, we subtract the distance traveled (70 miles per hour times x hours) from the total distance of the trip, which is 617 miles. Therefore, the correct function is M(x) = 617 - 70x, which corresponds to option C.

To further illustrate this with an example, if Kyle drives for 1 hour at 70 miles per hour, he would have traveled 70 miles, so the remaining distance would be M(1) = 617 - 70(1) = 547 miles.

Find the sum of a 10-term geometric sequence when the first term is 3 and the last term is 59049

A. 177147
B. 88572
C. 88575
D. 177144

Answers

D is the correct answer


A company plans to ship 2,000 packages of chocolate. The company randomly selects 100 packages and finds that five packages have an incorrect weight.
​Based on this data, how many packages out of the 2,000 should be predicted to have an incorrect weight?​

Answers

Answer:

100

Step-by-step explanation:

1. 100 divided by 5 = 20

2. 20 x 100 = 2000

3. Final Answer = 100

A company plans to ship 2,000 packages of chocolate, the number of packages is  X=100. This is further explained below.

How many packages out of the 2,000 should be predicted to have an incorrect weight?​

Generally, the number of packages is given as

X=(No Packages* incorrect weight)/ random selections

Therefore

X=2000*5/100

X=100

In conclusion, the number of packages predicted to have an incorrect weight is

X=100

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Multiply.

​ 38⋅45 ​

Express your answer in simplest form.

A. 3/10

B. 7/40

C. 7/13

D. 12/13

Answers

A. 3/10 is the answer

Grace earns $7 for each car she washes. She always saves $22 of her weekly earnings. This week, she wants to have at least $63 in spending money. How many cars must she wash? Enter and solve an inequality to represent this situation. Enter your value as a simplified mixed number, if necessary.

Answers

Answer:

12 1/7 cars

Step-by-step explanation:

Let the number of cars she'd wash to earn $63 in spending money be A.

Given she saves $22 of her weekly earnings and wants to have at least $63 for spending money.

That means she’d have to make $63 + $22 = $85

The expression is thus

$85 = A x $7

Where A is the number of cars and $7 is the amount she earns for washing one car and $85 is the total amount she has to make .

Therefore,

85 = A x 7

Divide both sides by 7

85/7 = A x 7/7

12 1/7 = A

A = 12 1/7 cars

She must wash 12 1/7 cars to have at least $63 spending money and also have her weekly Savings of $22

Find the height of the lamppost to the nearest inch.
Collection: Private
DRAG DROP VALUES
109 in.
108 in.
110 in.
107 in.

Height of the lamppost =

Answers

The height of lamp post to nearest inch is 110 inches

Solution:

We have to find the height of lamppost

From the figure in question,

Given is a right angled triangle

Where,

base = 40 inches

height = ?

By definition of tan,

[tex]tan\ 70 = \frac{opposite}{base}\\\\tan\ 70 = \frac{height}{40}\\\\height = tan\ 70 \times 40\\\\height = 2.7474 \times 40\\\\height = 109.89 \approx 110[/tex]

Thus height of lamp post to nearest inch is 110 inches

Rodrigo added 2/3 and 4/9 using these steps. What is the sum in simplest terms?
1. Check for common denominators.
2/3 and 4/9
2. Write the sum 2/9 + 4/9
3.
Add the numerators. 2+4/9 = 6/9

Answers

Final answer:

There was a minor mistake in the second step. The sum should be 2/3 + 4/9, not 2/9 + 4/9. After finding the common denominator and converting the fractions, we add the numerators to get 10/9, which simplifies to 1 1/9.

Explanation:

The process Rodrigo followed is correct, but there was a small mistake in the second step. Here, the problem should be 2/3 + 4/9, not 2/9 + 4/9. To add fractions like this, it's critical to ensure they have common denominators. The lowest common denominator (LCD) of 3 and 9 is 9.

So, the fraction 2/3 should be converted to its equivalent fraction with 9 as the denominator. Multiplying both the numerator and the denominator of 2/3 by 3, we get 6/9. So now our problem becomes 6/9 + 4/9.

Now, we can add them by combining their numerators: 6+4 = 10. So, the answer would be 10/9. But in simplest form, we would write this as 1 1/9. Hence, the sum of 2/3 and 4/9 in simplest terms is 1 1/9.

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there are 6 girls in a music class. this represents 3/7 of the entire class. solve 3/7s=6 to find the number of students,s, in the class.

Answers

The number of students in the class is [tex]s=14[/tex]

Explanation:

It is given that there are 6 girls in a music class.

This represents [tex]\frac{3}{7}[/tex] of the entire class.

To determine the number of students in the class, we need to solve the equation [tex]\frac{3}{7}s=6[/tex]

Let us solve the expression for s.

Multiplying both sides of the equation by [tex]\frac{7}{3}[/tex], we have,

[tex](\frac{7}{3} )\frac{3}{7}s=6(\frac{7}{3} )[/tex]

Simplifying the expression, we have,

[tex]s=\frac{42}{3}[/tex]

Dividing by 3, we have,

[tex]s=14[/tex]

Thus, the number of students in the class are 14.

Jim worked for three different employers. They each paid him $15 000. How much income tax should he have paid?

Answers

Jim's income tax liability for the $45,000 he earned from his three employers would be $9,500.

To calculate Jim's income tax, we first need to find his total income. Since he worked for three different employers, his total income would be the sum of his earnings from each employer, which is $15,000 * 3 = $45,000.

Next, we need to know the tax rates that apply to Jim's income. Income tax rates are usually progressive, meaning different portions of income are taxed at different rates.

Using the hypothetical tax rates mentioned above, we can calculate Jim's income tax liability:

First $10,000 at 10%: $10,000 * 0.10 = $1,000

Next $20,000 at 20%: $20,000 * 0.20 = $4,000

Remaining $15,000 at 30%: $15,000 * 0.30 = $4,500

Now, summing up the tax amounts from each tax bracket: $1,000 + $4,000 + $4,500 = $9,500.

Therefore, Jim's income tax liability should have been $9,500.

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Final answer:

Jim earned a total of $45,000 from three employers. Using a simplified marginal tax rate example, his total income tax comes to approximately $7,106.25. This calculation method demonstrates how the marginal tax rate system works in a basic form.

Explanation:

To determine how much income tax Jim should have paid on his earnings from three different employers, where each paid him $15,000, we first need to calculate his total income. Jim's total income is $15,000 from each job, multiplied by 3, because he worked for three different employers, resulting in a total income of $45,000.

Assuming a simple tax rate example (for illustrative purposes), let's use the marginal tax rates provided in the reference:

Income from $0 to $9,075 is taxed at 10%

Income from $9,075 to $36,900 is taxed at 15%

Income from $36,900 and beyond is taxed at 25%

Since Jim earns $45,000, here is how his taxes would be calculated:

The first $9,075 is taxed at 10%, amounting to $907.50.

The next $27,825 ($36,900 - $9,075) is taxed at 15%, amounting to $4,173.75

The remaining $8,100 ($45,000 - $36,900) is taxed at 25%, amounting to $2,025.

Add up these amounts to get the total tax:

$907.50 + $4,173.75 + $2,025 = $7,106.25

Therefore, applying this simplified tax calculation, Jim should have paid a total of roughly $7,106.25 in income tax on his total earnings of $45,000 from three different employers.

What is the equation for 15+d>10

Answers

Answer:

d > -5

Step-by-step explanation:

Step 1:  Subtract 15 from both sides

15 + d > 10

15 + d - 15 > 10 - 15

d > -5

Answer:  d > -5

You buy a car for $8000 that depreciates (loses value) at a rate of 11% a year. How much is the care
worth after 5 years?

Answers

Answer:

$3600

Step-by-step explanation:

Cost of the car = $8000

The car loses value at 11% each year .

That’s

11% /100% x $8000

0.11 x 8000

$880

11% decrease each year means that the cost of the car is reduced by $880 per year.

Therefore,

Worth of the car in 5 years

= $8000 - ($880 x 5)

= $8000 - $4400

= $3600

The car will be worth $3600 in five years

8) At a carnival it costs $54.72 for 36 tickets. Write an equation that can be used to
express the relationship between the total cost (t) and the number of tickets(n) you
buy.

Answers

t = 1.71n

36 tickets cost $54.72 so 1 ticket costs 1.71, from which you can say that your total cost is equal to 1.71 times the number of tickets you buy.

What is the mean of: 9.6, 2, 4.1, 8, 5.9, 2, 3.7, 6, 7.6?

Answers

Answer:

5.43333 recurring

Step-by-step explanation:

Mean is the average of a set of numbers. That is, the sum of the digits in the set, divided by the number of the digits.

In the question above, we have 9 digits. So we find the sum of the digits divided by 9.

(9.6+2+4.1+8+5.9+2+3.7+6+7.6)/9

48.9/9

5.4333recurring

On a sunny day around noon , a tree casts a shadow that is 12 feet long . At the same time , a person who is 6 feet tall standing beside the tree casts a shadow that is 2 feet long . How tall is the tree?

Answers

Answer:

36 ft. tall

Step-by-step explanation:

We can easily solve this problem with a simple proportion:

12 feet / height    =     2 feet / 6 feet

6 * 12 = 2h

72 = 2h

h = 36 ft.

It's found that the tree is 36 feet tall.

To find the height of the tree using the lengths of the shadows and the person's height, we can use a proportion based on similar triangles. Since the sun's rays hit both the tree and the person at the same angle, the ratio of the height of the tree to the length of its shadow is the same as the ratio of the person's height to the length of their shadow.

Let's let 'h' represent the height of the tree. We can set up the proportion as follows:

Person's height / Person's shadow length = Tree's height / Tree's shadow length

6 feet / 2 feet = h / 12 feet

Now we solve for 'h' by cross-multiplying:

6 feet * 12 feet = 2 feet * h

72 feet2 = 2 feet * h

Divide both sides by 2 feet to get:

h = 36 feet

Therefore, the tree is 36 feet tall.


Which equation, in point-slope form, passes through (-2, 4) and has a slope of 3?
a. y - 4= 3(x - 2)
b. y - 4= 3(x + 2)
c. y + 4 = 3(x - 2)
d. y + 4 = 3(x + 2)

Answers

Answer:

B

Step-by-step explanation:

The formula is Y-Y1= M(X-X1)

So y-4=3(x+2)

: The You Move It Company (YMI) advertises that the cost to rent a ​moving truck for one day is $40 plus $1.99 for each mile the truck is ​driven. ​ ​The Drive and Move Company (DM) advertises that the cost to ​rent a moving truck for one day is $60 plus $1.79 for each mile the ​truck is driven. ​ ​Alex wants to rent a single truck to use on both ​Saturday and Sunday on a weekend. ​Part A For what driving distance does it not matter from which company Alex rents the truck? ​ ​ miles. ​ ​If Alex only plans of driving 150 miles over the weekend, which company should he use? ​ ​ ​ ​ ​Part B Give a mathematical explanation as to how you arrived at your answer.​

Answers

Part A: For 100 miles, the cost will be same for both companies.

Part B: Alex should use Drive and Move company as it will cost him less money.

Step-by-step explanation:

Given,

Starting amount of YMI= $40

Per mile charges = $1.99

Let,

x be the number of miles.

y be the total charges.

y = 1.99x+40    Eqn 1

Starting amount of DM = $60

Per mile charges = $1.79

y=1.79x+60    Eqn 2

Part A:

For same charges;

Eqn 1 = Eqn 2

[tex]1.99x+40=1.79x+60\\1.99x-1.79x=60-40\\0.20x=20[/tex]

Dividing both sides by 0.20

[tex]\frac{0.20x}{0.20}=\frac{20}{0.20}\\x=100[/tex]

For 100 miles, the cost will be same for both companies.

Part B:

Total miles = x = 150

Putting x=150 in Eqn 1

y=1.99(150)+40

y=298.5+40

y=$338.50

Putting x=150 in Eqn 2

y=1.79(150)+60

y=268.5+60

y=$328.50

Alex should use Drive and Move company as it will cost him less money.

How many solutions does the system of equations have?
The system has infinitely many solutions.
The system has no solution.
The system has exactly one solution.

Answers

Answer:

This system has infinitely many solutions because they right on top of each other.

If the lines were perpendicular, then there would be exactly one solution.

If the lines were parallel, there would be no solutions.

Convert: 100 kilograms to pounds.
22.05
220.5
O 2205
22,050

Answers

Answer:

220.5

Step-by-step explanation:

:3

Answer:

220.5 lb

Step-by-step explanation:

1 kg = 2.20462262185 lb

100 kg = 100×2.20462262185 lb

100 kg = 220.462 lb

100 kg = 220.5 lb

2x−5 = 3 (1−x)+22?
is x=6?

Answers

Answer:

x=6

Step-by-step explanation:

You are correct. x does equal 6

Answer:

Yes

x = 6

Step-by-step explanation:

Given

2x - 5 = 3(1 - x) + 22

First distribute 3 into (1 - x)

We have

2x - 5 = 3 x 1 -3 x X + 22

2x - 5 = 3 - 3x + 22

The expression can be rearranged as

2x - 5 = 3 + 22 - 3x

2x - 5 = 25 - 3x

Add 3x to both sides

3x + 2x - 5 = 25 - 3x + 3x

5x - 5 = 25

Add five to both sides

5x - 5 + 5 = 25 + 5

5x = 30

Divide both sides by 5

5x/5 = 30/5

x = 6

Erwin had 2 5/12 gallons of lemonade. He spilled 11/12 gallon of lemonade. How much lemonade dose he have left? Write in simplest form

Answers

Answer:

Erwin have 1 [tex]\frac{1}{2}[/tex]   gallons of lemonade left

Step-by-step explanation:

Erwin had 2 5/12 gallons of lemonade. He spilled 11/12 gallon of lemonade. How much lemonade dose he have left? Write in simplest form

All we need to do is to subtract 11/12 from 2 5/12. But to do this, we will convert 2 5/12 to improper fraction

converting 2 5/12 to improper fraction yields : 29/12

Lemonade have left = Total lemonade - lemonade spilled

                         =          29/12 -  11/12

                               

                         =     18/12

Lemonade have left =18/12

But we can reduce 18/12 to its lowest term

18÷6/ 12÷6      =     3/2

       Lemonade have left = 3/2

We can change to 3/2 to a mixed number to give us 1 [tex]\frac{1}{2}[/tex]    

Therefore Erwin have 1 [tex]\frac{1}{2}[/tex]   gallons of lemonade left

Answer:

(3/2) or (1 1/2) gallons of lemonade

Step-by-step explanation:

Erwin had 2 5/12 gallons of lemonade at his disposal which also translate to 29/12 gallons.

If he spills 11/12 gallon of the lemonade,then the quantity left with him will be (29/12) - (11/12) = 18/12(change to proper fraction): 3/2 or 1 1/2 gallons of lemonade

Addyson's goal is to spend less than $415 on a trip. So far, she has spent $25 on gas for her car. She will spend $100 each day on other expenses. Addyson's trip must last fewer than how many days?

Answers

Answer:

4 days

Step-by-step explanation:

$25 on gas

$415-$25=$390 she still can spend $390

390/100=3.9 days

that means she can go for 3.9 days

so she must go for less than 4 days

If two fractions are between 0 and 1 can their sum be more than 1 ? Explain your thought process.​

Answers

Answer:

YES

Step-by-step explanation:

If both the fractions are greater than .5, then yes.

Ex. 3/4 and 4/5

Yes if two fractions are between 0 and 1 can their sum be more than 1. Examples are 3 / 4 and 4 / 5.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

If two fractions are between 0 and 1 can their sum be more than 1

If both the fractions are greater than .5, then yes. examples are 3/4 and 4/5.

Sum = 3 / 4 + 4 / 5

Sum = 31 / 20

We can see that the sum is greater than one.

Therefore if two fractions are between 0 and 1 can their sum be more than 1. Examples are 3 / 4 and 4 / 5.

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What number does x stand for 18*x=54
A. 3
B.1
C. 91
D. 85

Answers

Answer:

3

Step-by-step explanation:

18*x=54   (divide both sides by 18)

x = 54 ÷ 18

x = 3

Hello!

The answer to your problem is A) 3

Move all terms to the left

[tex]18x-(54)=0[/tex]

Move all terms containing x to the left, all other terms to the right

[tex]18x=54[/tex]

[tex]x=54/18[/tex]

Get your answer

[tex]x=3[/tex]

Hope This Helps!

The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

A) (5, 3)

B) (6, -3)

C) (2, -5)

D) (6, -5)

Answers

Answer:

The option B) is correctTherefore the coordinate of B[tex](x_2,y_2)[/tex] is (6,-3)

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

To Find the coordinates of point B:Let the coordinate of A be [tex](x_1,y_1)[/tex] is (2,7) respectivelyLet the coordinate of B be [tex](x_2,y_2)[/tex]And Let M(x,y) be the mid point of line segment AB is (4,2) respectivelyThe mid-point formula is [tex]M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Now substitute the coordinates int he above formula we get[tex](4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})[/tex]Now equating we get

[tex]4=\frac{2+x_2}{2}[/tex]                    [tex]2=\frac{7+y_2}{2}[/tex]

Multiply by 2 we get                             Multiply by 2 we get  

[tex]4(2)=2+x_2[/tex]                                           [tex]2(2)=7+y_2[/tex]

[tex]8=2+x_2[/tex]                                                [tex]4=7+y_2[/tex]

Subtracting 2 on both

the sides                                    Subtracting 7 on both the sides

[tex]8-2=2+x_2-2[/tex]                                [tex]4-7=7+y_2-7[/tex]

[tex]6=x_2[/tex]                                                       [tex]-3=y_2[/tex]

Rewritting the above equation      Rewritting the equation

[tex]x_2=6[/tex]                                                      [tex]y_2=-3[/tex]

Therefore the coordinate of B[tex](x_2,y_2)[/tex] is (6,-3)Therefore the option B) is correct.



If point E is translated 2 units right and 4 units up, what are the coordinates of E'?

Answers

Answer:

6

Step-by-step explanation:

Answer:

Answer is (2,6) B.

Step-by-step explanation:

What is
3x-y=9
2x-y=7

Answers

Answer:

x=2 and y= -3

Step-by-step explanation:

This is a simultaneous equation. To solve this type of equation, there are three methods; substitution, Elimination and Graphical.

But here, we would be using the substitution method.

3x-y=9 Equation 1

2x-y=7. Equation 2

Getting y from equation 2, we have

-y= 7-2x

Multiply both sides by -

y= 2x-7 Equation 3

Substituting y for 2x-7 in equation 1, we have

3x- (2x-7)=9

3x-2x+7=9

x+7=9

x=9-7

x=2

Substituting x as 2 in equation 3

y=2x-7

y= 2(2)-7

y= 4-7

y= -3

the answer is x: 2 y: -3 and i got it from photomath

∠A and \angle B∠B are supplementary angles. If m\angle A=(3x-17)^{\circ}∠A=(3x−17)

and m\angle B=(2x-23)^{\circ}∠B=(2x−23)

, then find the measure of \angle B∠B.

Answers

The measure of angle B is 65°

Explanation:

Given that ∠A and ∠B are supplementary angles.

The measures are ∠A = (3x - 17)° and ∠B = (2x-23)°

The value of x:

Since, supplementary angles add up to 180°, then we have,

[tex]\angle A+ \angle B=180^{\circ}[/tex]

Substituting the values, we have,

[tex]3x-17+2x-23=180[/tex]

               [tex]5x-40=180[/tex]

                       [tex]5x=220[/tex]

                        [tex]x=44[/tex]

Thus, the value of x is 44

Measure of angle B:

Let us determine the measure of angle B by substituting the value of x in ∠B = (2x-23)°

Thus, we have,

[tex]\angle B=(2(44)-23)^{\circ}[/tex]

[tex]\angle B=(88-23)^{\circ}[/tex]

[tex]\angle B=65^{\circ}[/tex]

Thus, the measure of angle B is 65°

Help me with this pls!!! You need to fill in the blanks with the words given above 99 Points!

Answers

A simulation is a mathematical model used to represent a situation.

A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.

When we combine two or more simple events we have a compound event

"Compound" means to combine, like a compound word would be a combination of two words

A Tree Diagram is a diagram that shows all the possible outcomes of an event

In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.

All the possible outcomes or results is called the sample space

The outcomes are each different samples, and a sample space is a space that collects each of these samples

When an event is not affected by a previous outcome we have an independent event

This event is "independent", not affected by other factors, making it an independent event

Let me know if you need any clarifications, thanks!

~ Padoru

What is 9 to the power of zero simplified

Answers

The correct answer is 1

Does anyone have any useful tips for the ACT? They would be much appreciated!

Answers

great someone deleted all my answers again

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C) Those who do not like to get wet should always carry an umbrella. D) Carl is simply obsessed with rugby; he eats, breathes, and lives the game. I'm really confused about sentence structure right now. Could someone please explain this to me? ~ Thanks! ~ When removing the balance shaft assembly: Technician A inspects the bearings for unusual wear or damage. Technician B smoothens a damaged camshaft or balance shaft journal by lightly sanding it. Who is correct Ezra is 3 years old. He ignores people when they are in the room, and if people speak to him he does not make eye contact. He also will not initiate communication, but rather just repeats what someone has said. Finally, Ezra plays with a spinning top for hours. He just spins it, watches it, and when it stops spins it again. Ezra may be showing signs of: Christianity is split into the Roman Catholic Church and the Eastern Orthodox Church because Marissa and Jessica, sisters born two years apart, grew up in an impoverished, violent neighborhood. As adults, Marissa is chronically jobless and is addicted to drugs while Jessica is a professor of economics at a community college. What might explain their different life outcomes? The accounting department moved its network-attached printer from one side of the office to a more centralized location, making the printer much more accessible to all accounting users. Since the move, the users have not been able to print to the printer. The printer powers on and shows it is ready to accept print jobs. The printer configuration page shows the following output.IP Configuration: DHCPIP Address: 169.254.101.132Subnet Mask:255.255.0.0Default Gateway:You disconnect the patch cable from the keystone jack at the new location and move the printer and cable to reconnect it at the original location. The printer begins printing the jobs that failed to print earlier.Which of the following are the most likely reasons for the printer failing to print at the new location? (Select TWO.)The cable run connecting the new keystone jack to the patch panel is bad.The patch panel connector for the new location's cable run is not connected to a switch. How does the genetic makeup of the skin cells differ from the genetic makeup of the of the gametes? Discuss at least three negative behaviors that you participate in that are not environmentally conscious and that you will change in order to benefit the environment. Two farmers bought a truck. The first farmer paid 4/5 of the price, and the second paid the rest. The first farmer's share was$9,600. What was the total price of the truck?A $10,000B$12,000C$20,000D$25,000Next >> what are sex chromosomes After that the woman said, "Pick up my pocketbook, boy, and give it here." She still held him. But she bent down enough to permit him to stoop and pick up her purse. Then she said, "Now ain't you ashamed of yourself?" Firmly gripped by his shirt front, the boy said, "Yes'm." What does the boy's initial response to Mrs. Jones tell us about him? Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.1. -2, -1, -i2. 4, -5, -5 An investment offers $157 per year forever, with the first payment occurring today. If the interest rate is 6.7% (per year, with annual interest compounding), the value of the entire investment today is $_____________. Cold case files recently began re-investigating an old murder case. The murder took place in the park; a young man, James, was hitover the head with a brick and killed. Police suspected the jealous former boyfriend of James' wife, Karen. Whoever killed James mayhave washed their hands in a near-by bird bath as detectives found blood in the bird bath. Since the murder took place before DNAfingerprinting was available, the suspected killer, Ronnie, went free. Detectives are now reviewing the blood evidence using DNAfingerprintingBased on the DNA fingerprints of all possible suspects, who is James' killer?A.AubreyB.BabsC.KarenD.Ronnie Some students study hard beginning with the first couple of weeks of a semester because they subsequently receive very good final course grades. This best illustrates that human behavior is influenced by:A. classical conditioning.B. primary reinforcers.C. latent learning.D. delayed reinforcers. Jared made 12 3/4 cups of snack mix for a party.His guests eat 2/3 of the mix.How manysnack mix did his guest eat? 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