Mathematics High School

Select ALL the correct answers.
The square of the sum of a number and 6 plus twice the number is equal to 189.

Which equations could be used to represent this relationship?

(3x + 6)2 = 189
(x + 6)2 + 2x = 189
(x + 6)2 = 189 + 2x
x2 + 10x + 36 = 189
x2 + 14x + 36 = 189
x2 + 2x + 6 = 189

Answers

Answer 1

Answer:

[tex](x+6)^{2}+2x=189[/tex]  

and

[tex]x^{2}+14x+36=189[/tex]

Step-by-step explanation:

Let

x -----> the number

we know that

The equation that represent the situation is

[tex](x+6)^{2}+2x=189\\ \\x^{2} +12x+36+2x=189\\ \\x^{2}+14x+36=189[/tex]

therefore

The equations that could be used are

[tex](x+6)^{2}+2x=189[/tex]  and [tex]x^{2}+14x+36=189[/tex]

Answer 2

Answer:

(x+6)^{2}+2x=189  

and

x^{2}+14x+36=189

Step-by-step explanation:

Related Questions

The function f(t)=-5t^2+15t+50 models the approximate height in feet of an object t seconds after it is launched. how many seconds does it take for the object to hit the ground?

Answers

f(t) can be factored to find the zeros.
.. f(t) = -5(t -5)(t +2) . . . . f(t) = 0 for t=-2, t=5

The object hits the ground after 5 seconds.

Is 40% bigger than 2/5

Answers

To find the percentage of 2/5 you'll divide them and then multiply the answer by 100.

2/5 = 0.4 = 40%

So 40% and 2/5 are equal.

Hope this helps :)
40% can be rewritten as 0.4 
2/5 can be rewritten as 0.4. 

As you can see, they are equal, so NO, 40% is not bigger than 2/5.

What does (r−c)(5) mean about George's new store?

Answers

store will have a profit of 5400 after it's fifth month in business
 Answer is C

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5). Show your work.

Answers

The circumcenter has equal distance to each of the three vertices. Suppose the coordinates of the circumcenter O are (a,b). Then OD=\sqrt((a-1)^2+(b-3)^2), OE=\sqrt(a-8)^2+(b-3)^2), OF=\sqrt((a-1)^2+(b+5)^2). Let OD=OE=OF, solve the equation. x=9/2, y=-1. O(9/2, -1).

Lanas avarage step length is about 0.5 meters. How many steps will she need to finish the race? (5 KILMEMETER RACE)

Answers

The length of the race is 5 kilometers.
5 kilometers equals 5000 meters.

Since Lana's avarege step length is about 0.5 meters, we need to divide 5000 by 0.5

[tex]Steps = \frac{5000}{0.5} = 10000[/tex]

Hence, Lana needs to take about 10000 steps.

Suppose that 24% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?

Answers

To find the probability that both people randomly picked own a dog, we multiply the probability of one person owning a dog (24%) by itself, resulting in a 5.76% chance that both own a dog.

The question is asking us to calculate the probability that two randomly selected people both own a dog, given that 24% of people own dogs. Since the events (each person owning a dog) are independent, the probability of both events happening is the product of their individual probabilities.

Let's denote the probability of one person owning a dog as P(dog) = 0.24. Then, for two independent people, the probability that both own a dog is [tex]P(dog) \times\ P(dog) = 0.24 \times\ 0.24 = 0.0576.[/tex]

So, the probability that both people picked at random own a dog is 5.76%.

Answer this please and thank you

If DE=4x-1, EF=9, and DF=9x-22, find the value of x.

Answers

Question

If DE = 4x-1, EF = 9, and DF = 9x-22, find the value of x.

Answer

x = 6

PLEASE HELP ME ON THIS

BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY!!!

Answers

Most likely the first choice.

The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

It would not be choice 2 or 3 because it is taking the percent of the previous number and multiplying it by 1.05. Hence, it could not be an arithmetic sequence.

It would not be the fourth choice because that is saying there is a 50% increase every successive year.
the correct answer is number 1


4.Krissa drew a circle with a radius of 4 inches.

Fill in the blanks.

The area of the circle is _______ square inches and the circumference is _______ inches.



64π, 16π


16π, 8π


16π, 64π


8π, 16π

Answers

Answer: second option: 16π, 8π

Explanation:

1) To calculate the area use the formula:

Area = π (radius)^2

radius = 4 in => area = π (4 in)^2 = 16π in^2

2) To compute the circumference use the formula:

Circumference = 2π(radius)

=> Circumference = 2π (4 in) = 8π in.

To calculate the area of a circle, use the formula A = πr², where r is the radius. For this specific circle with a radius of 4 inches, the area is 16π square inches, and the circumference formula is C = 2πr, resulting in a circumference of 8π inches.

To find the area of a circle: A = πr². Substituting the given radius of 4 inches, we get Area = π(4)² = 16π square inches. The circumference of a circle is C = 2πr. Substituting the radius, we get C = 2π(4) = 8π inches.

The nth term of the sequence

-2, 1, 4, 7, 10,...

is given by the formula
A) an = n - 3
B) an = 3n - 3
C) an = n - 5
D) an = 3n - 5

Answers

First we need to find what kind of sequence we have. To do that we are going to test if the sequence as a difference [tex]d[/tex], in which case it will be an arithmetic sequence, or a ratio [tex]r[/tex], in which case it will be geometric sequence.
The formula to find [tex]d[/tex] is [tex]d=a_{n}-a_{n-a}[/tex]
where 
[tex]a_{n}[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence 
The formula to find [tex]r[/tex] is [tex]r= \frac{a _{n} }{a _{n-1} } [/tex]
where 
[tex]a_{n}[/tex] is the current term in the sequence 
[tex]a_{n-1}[/tex] is the previous term in the sequence 
- For [tex]a_{n}=10[/tex] and [tex]a_{n-1}=7[/tex]
  [tex]d=10-3[/tex]
  [tex]d=3[/tex]
  [tex]r= \frac{10}{7} [/tex]
- For [tex]a_{n}=4[/tex] and [tex]a_{n-1}=1[/tex]:
  [tex]d=4-1[/tex]
  [tex]d=3[/tex]
  [tex]r= \frac{4}{1} [/tex]
  [tex]r=4[/tex]
Since [tex]d[/tex] is equal in both procedures whereas [tex]r[/tex] is not, we can conclude that our sequence is an arithmetic sequence.
Now we are going to use the explicit formula of an arithmetic sequence [tex]a_{n}=a_{1}+(n-1)d[/tex]
where 
[tex]a_{n}[/tex] is the nth term
[tex]a_{1}[/tex] is the first term 
[tex]n[/tex] is the position of the term in the sequence 
[tex]d[/tex] is the difference 
We know that [tex]a_{1}=-2[/tex] and [tex]d=3[/tex], so lets replace those values in our formula:
[tex]a_{n}=-2+(n-1)(3)[/tex]
[tex]a_{n}=-2+3n-3[/tex]
[tex]a_{n}=3n-5[/tex]

We can conclude that the correct answer is D) an = 3n - 5

The sum of 19.3 and a number is 30.4. which eqation can be used to sole the problem?

Answers

the equation is

19.3 + n = 30.4

Answer:

19.3+n+30.4 (B on edg)

Step-by-step explanation:

What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale.

a) [tex] \sqrt{70} [/tex]
b) 70
c) [tex] \sqrt{19} [/tex]
d) 19

Answers

  we know that
in triangle ABC
cos (alfa)=H/(14+5)-------->   cos (alfa)=H/(19)        equation 1

in triangle BDC
cos (alfa)=14/H   equation 2
1=2
H/(19)=14/H-------> H²=19*14---------> H²=266------> H=√266
H=16.31 units
cos (alfa)=14/16.31----------> cos (alfa)= 0.8584
alfa=arccos(0.8584)=30.86°

we know 
triangle BDC
sin(alfa)=h/H---------> h=sin(alfa)*H
h=sin(30.86)*16.31----------> H=8.37 units---------> √70 units

the answer is the option A) √70


Answer:

The correct option is A) 70

Step-by-step explanation:

PLEASE HELP ASAP!
You have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop. The painting is 65in high by 105in wide. You are asked to use a 1in = 5in scale. What will the dimensions of your poster be? (2 points)

Answers

we know that
[scale]=[poster]/[painting]
[poster]=[painting]*[scale]
scale=1/5

then

for high = 65 in the painting
[poster]=[painting]*[scale]-----------> [65]*[1/5]-----> 65/5-------> 13 in

for wide = 105 in the painting
[poster]=[painting]*[scale]-----------> [105]*[1/5]-----> 105/5-------> 21 in

the answer is
The dimensions of the poster will be  15 in x 21 in

Hey there

Could you plz help me id appreciate it so much: )
LIMITED TIME

Answers

The independent variable is known as 'x', and the dependent variable is known as 'y'. They just changed the variables here 'f(t)' or 'f(x)' is the same thing as 'y', and 't' is the same thing as 'x'.

So 't' is the independent variable, and 'f(t)' is the dependent variable.

The wording of the second option, the second to last, and the last is all correct. The questions says "let 't' be the time in years after 2000", so if 't' were say 5, this would mean 5 years after 2000 or 2005.  The question also states "let f(t) be the amount of garbage", so the result must be the amount of garbage.

So now we just need to confirm if the calculations were done correctly.

Option 2:

[tex]\sf f(2)=1233[/tex]

This is the same thing as saying if you plug in 2 for 't', you will get 1233, let's try it:

[tex]\sf f(t)=1200\cdot (1.05)^t[/tex]

Plug in 2 for 't':

[tex]\sf f(2)=1200\cdot (1.05)^2[/tex]

Simplify the exponent:

[tex]\sf f(2)=1200\cdot (1.1025)[/tex]

Multiply:

[tex]\sf f(2)=1323[/tex]

So option 2 is incorrect, and we see also that option 6 is correct. Now for the last one:

Option 7:

[tex]\sf f(4)=1458.6[/tex]

This is the same thing as saying if you plug in 4 for 't', you will get 1458.6, let's try it:

[tex]\sf f(t)=1200\cdot (1.05)^t[/tex]

Plug in 4 for 't':

[tex]\sf f(4)=1200\cdot (1.05)^4[/tex]

Simplify the exponent:

[tex]\sf f(4)=1200\cdot (1.21550625)[/tex]

Multiply:

[tex]\sf f(4)\approx 1458.6[/tex]

So the last option is also correct.

So your answers are options 3, 4, 6 and 7.

Anyone have a proper answer for this?

Answers

by the same "tangent-chord angle theorem" as you saw before, you have a tangent, and an arc, the arc is 120°, so the enclosed angle by both, namely ∡y, is half that of that arc.

Consider the following pair of equations:

y = x + 4
y = −2x − 2

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

The pair of equations:
y = x + 4
y = -2x - 2

To solve the system of equation by substitution, you would substitute one variable for it's equivalent expression. Combining the pair of equations into one equation in only one variable. The easiest way to do this is by substituting out the variable y because it is already alone on one side of the equal sign. Substitute the y in the second equation for: x+4

x+4 = -2x - 2
solve for x
x + 2x = -2 -4
3x = -6
x = -2

now use the value for x to find y by putting into either equation.

y = x + 4
y = (-2) + 4
y = 2

solution is: (-2, 2)

Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that ________.

Answers

Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that 


Answer: Angle (B) is Congruent to Angle (C)

Hope it helps

Answer:

We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, we know that

✔ AB = AC

.

Let’s assume that angles B and C are not congruent. Then one angle measure must be greater than the other. If m∠B is greater than m∠C, then AC is greater than AB by the

✔ triangle parts relationship theorem

.

However, this contradicts the given information that

✔ side AB is congruent to side AC

. Therefore,

✔ angle B is congruent to angle C

, which is what we wished to prove.

Similarly, if m∠B is less than m∠C, we would reach the contradiction that AB > AC. Therefore, the angles must be congruent.

Step-by-step explanation:

edge 2020

Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.Ответ вырази в дм 2

Answers

the question in Englih is
From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of ​​the cardboard residue. Answer the question in dm2

Step 1
convert cm to dm
we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm

Step 2
find the area of ​​the cardboard
Area=3.5*2=7 dm²

Step 3
find the area of ​​the cardboard residue
Area=7-4*1=3 dm²

the answer is 3 dm²


the answer in Russian


Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм

Шаг 2
найти область картона
Площадь=3.5*2=7 дм²

Шаг 3
найти область остатка картона
Площадь=7-4*1=3 дм²
ответ 3 дм²

ответ 3 дм²
35*20=700 см2 (площадь картонки)
1 дм2=100 см2
Если она вырезала 4 квадрата по 100 см2, то осталось 700-(100*4)=700-400=300 см2
300 см2=3 дм2
Думаю,что так.

Which choice is the conjugate of the expression below when x -5?
4 - x+5


A. 4 + x - 5
B. 4 - x - 5
C. 4 - x + 5
D. 4 + x + 5

Answers

The option which is the conjugate of the expression 4 - (x + 5) will be D. 4 + (x + 5).

What is a conjugate?

It should be noted that conjugate simply means changing the sign that is between two terms in a binomial.

In this case, the given expression is 4 - (x + 5). Therefore, one simply has to change the subtraction sign. This means one has to has to change the subtraction sign to addition. This will be 4 + (x + 5).

In conclusion, the correct option is 4 + (x + 5).

Learn more about conjugate on:

https://brainly.com/question/844178

Final answer:

The conjugate of the expression 4 - (x + 5) is formed by changing the minus sign to a plus sign, resulting in the expression 4 + x + 5, which corresponds to option D.

Explanation:

The conjugate of a binomial expression like 4 - (x + 5) is obtained by changing the sign between the two terms. Hence, the conjugate of this expression would change the subtracted term (-x - 5) to its additive inverse, which is (+x + 5). Therefore, the correct choice is 4 + x + 5, which is option D.

1. Your total restaurant bill is _____. (1 point)
Captionless Image
*

the items purchased minus sales tax, and plus tip.
the items purchased plus sales tax and tip.
the items purchased minus sales tax, and plus tip.

2. A check is _____. (1 point)
Captionless Image
*

required to be paid by your bank when presented
a promissory note (I.O.U.)
not able to be forged

3. There are several different ways to pay for items. In most modern economies, which is not a way to pay? (1 point)
Captionless Image
*

credit cards
bartering
cash

Answers

First question:

Your total restaurant bill is the items you have purchased plus the sales tax and plus the tip (if there’s any). Sales tax is added to your purchase because this is tax imposed to the consumer and not to the buyer. The buyer is only required to collect this tax from the buyer.

Second question:

A check is a financial instrument wherein the bank is required to pay when presented or encashed to them. You just have to make sure that you have account balance to that certain bank.

Third question:

The way of payment not any more common in the most modern economies is the bartering. Both credit cards and cash are the most common way of paying for your purchases.

Answer:

1. the items purchased plus sales tax and tip.

2. a promissory note (I.O.U.)

3. bartering

HELP PLS with this geometry problem

Answers

Angle A = arctan(12/5) = 67.4 degrees

Angle A = arccos(5/13) = 67.4 degrees

yes the answer was the same

So I've got a math problem I don't understand: simplify (3^ - 2 + 5^ - 2) ^ -1 I got 34 but apparently the answer's 225/34, shouldn't i just multiply -2 and -5 by 1 making it 3^2 + 5^2 which is 34 Pliz help, cramming for a test tmw

Answers

The exponent tells you the number of times that factor is in the product. When the exponent is negative, the product is in the denominator.
.. (3⁻² +5⁻²)⁻¹ = 1/(1/9 +1/25) = 1/(34/225) = 225/34
◆ Exponential Reductions ◆

Hey !!

Check the attachment.
Hope it helps you :)

P.s. In your question the negative no. is in exponentials or in power ,

a^m = a*a*a*a...(m times)

But if m is negative then solve like -
a^-m = 1/a^m

Which is the best estimate for the product of 123.519 × 311,982.21?



A.
372,000,000


B.
37,200,000


C.
3,720,000


D.
372,000

Answers

B, these numbers are all the same, so in the end it's whichever Digit is the closes, but each gap is that changing by entire Tens of thousands.
The sum of those numbers has 8 digits, the only answer with 8 digits--

What is the answer to this question please explain...

Answers

Do what it says.

F = (9*30)/5 +32 . . . . . replace the variable C with the value 30
F = 270/5 +32 . . . . . . . order of operations says do multiplication and division in the order in which they appear. We have multiplied 9*30
F = 54 +32 . . . . . . . . . . division appears next. We have divided 270 by 5
F = 86 . . . . . . . . . . . . . . after multiplications and divisions are done, we add in the order of appearance. There is only one addition to perform.

F = 86 . . . . . . . . we suppose only the numerical value 86 should be entered

The following tables each show the amount of money, in dollars, in four different bank accounts over time.

Which table best represents an exponential relationship?

Answers

for finding the answer divide the amount of second year by first year . then do it to find the division of third year by second year. hf they were equal it means they have an exponential relationship.
it seems that the first one is the answer.
1210/1100=1.1
1331/1210=1.1

Answer with explanation:

The general exponential relationship is

→[tex]y=a*b^x {\text{or}}, x=a*b^y[/tex]

The four tables which is given here, all of them represents exponential relationship because with increase in value of y ,x value increases or vice versa.

The exponential function can be either strictly increasing or strictly decreasing.

Table 1

[tex]\frac{1210}{1100}=\frac{1331}{1210}=\frac{1464.10}{1331}=\frac{1610.51}{1464.10}=1.1[/tex]

In Table 2, Table 3,and  table 4, the rate of increase is not constant, it varies that is for different two consecutive y, values their ratio is not constant.

Table 1, best represents the exponential relationship, represented as

[tex]y=1100*(1.1)^x[/tex]

Where, x=1,2,3,4,5

find the slope of the line that passes through the points (2,1) and (-1,-1).

Answers

Answer:

all work is shown and pictured

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25, 0.75) , B′(0.75, 1.75) , and C′(0.25, 1) . The center of dilation is the origin. What is the scale factor of the dilation? 0.25 0.5 2 4

Answers

fFirst, we have the following points:
 A (5, 3) 
 B (3, 7) 
 C (1, 4) 
 We multiply these vertices by a factor k to obtain the new vertices: 
 A '(k * 5, k * 3) = (1.25, 0.75) 
 B '(k * 3, k * 7) = (0.75, 1.75) 
 C '(k * 1, k * 4) = (0.25, 1)
 We note that the value of k is: k = 1/4
 Answer:
 the scale factor of the dilation is:
 0.25

This is the answer the other is right

What is the equation of the midline for the function y = 2sin(x - π) + 3

Answers

the maximum value of sin(x-π) is 1, the minimum is -1, so the maximum value for the function y = 2sin(x - π) + 3 is 2*1+3=5, the minimum is -2+3=1, half way between 5 and 1 is 3, so y=3 is the midline. 

The equation of the midline for the function 2sin (x - π) + 3 is y = 3.

What is the Midline of a Function?

The midline of a function is the line horizontal to the minimum value and maximum value of the function.

Given function is 2sin (x - π) + 3.

We know the trigonometric formula,

sin (A - B) = sin A cos B - cos A sin B

sin (x - π) = sin x cos π - cos x sin π

               = (sin x × -1) - (cos x × 0)          [Since cos π = -1 and sin π = 0]

               = -sin x

So, 2sin (x - π) + 3 = -2sinx + 3

Now, we know that,

-1 ≤ sin x ≤ 1

Multiplying whole sides by -2,

2 ≥ -2sin x ≥ -2

[since the inequality sign changes when negative is multiplied or divided]

Adding 3 throughout,

5 ≥ -2sin x + 3 ≥ 1

Maximum value is 5 and minimum value is 1.

Midline value = (5 + 1) / 2 = 3

So the equation of the midline is y = 3.

Hence the equation of midline is y = 3.

Learn more about Midlines of Functions here :

https://brainly.com/question/12685150

#SPJ3

Aubrey says that the product 10x10x10x10 and 10x-10x-10

Answers

The third one, because she got -8 for the product's exponent by multiplying 4 and -2 instead of adding them, show the answer should have been 10^2.

Answer:

Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.

Yes, she is correct.

No, the exponent should be positive 8.

No, she multiplied the exponents instead of adding them.

No, she multiplied the exponents instead of subtracting them.

Step-by-step explanation:

C. No, she multiplied the exponents instead of adding them.

The net of a square pyramid is shown:
What is the surface area of the figure?

A.0.5625 square inch

B.0.7625 square inch

C.1.5625 square inches

D.1.7625 square inches

Answers

First the square .75^2=0.5625 inch² + A≈0.3 *4=1.2 inch²+ 0.5625 inch²= 1.7625 inches²
Thus d: is your Answer
I think its d because if do the step in the correct way thus may give you d
Other Questions
Hey Siri has to water towers one tower hold 7.3510 to the fifth power gallons of water in the other tower holds 9.7810 to the fifth power gallons of water what is the combined water capacity of a two Towers A chestnut falls from a tree 45 feet above ground.Use the vertical motion model to find how long it takes to hit the ground.Round your answer to the nearest tenth. Why were the people of Amsterdam angry with the Germans shooting down airmen Which sentence needs to be rewritten? A) The bus driver pulled up to Virginia's home and let her out with a friendly wave. B) Mrs. Martin had done many jobs in her life, but she loved being a schoolbus driver the best. C) Caroline's mother was waiting at the end of the sidewalk for her daughter to be let off the bus. D) After the school day ended, Abby got on the bus that afternoon to go to her afternoon soccer club. Describe a situation in which you read something that had a particular context that was unfamiliar to you. Did you struggle to make sense of it? Did you need to get more information to ease your reading experience? One situation might be a book, a story, or an article that you had difficulty understanding because you didn't have some prior knowledgehistorical, cultural, or technical. Another situation is a time when a text inspired you to gather information on a new topic.As you describe and discuss the significance of context, consider these questions: Do certain genres of fiction often present more challenges in terms of unfamiliar context than others, and why? How much responsibility do you think writers should take to make their writing comprehensible to a broad group of readers? How much should readers have to fill in any gaps? Are such gaps inevitable when the writer wrote the text many years before the time of reading? If so, why, and in what time periods does this seem to be true? Jonas jogged up the hill at an average rate of of a mile per minute and then walked down the hill at an average rate of of a mile per minute. The round trip took him 42 minutes. What is the missing value in the table that represents the distance of the trip down the hill? Mark the false statements. Select all that apply. Nazism and fascism have similarities. Political and economic, but not social activities, are limited under the rule of a fascist government. Hitler ruled as a dictator and stirred the people to continue to be a "pure race." Hitler appealed to the continental glory that was due Europe. In a fascist government, worker strikes are never allowed. When you go to a Republican Party you go to nominee for the president on your ballot are candidates for both the Democratic nominations youre most likely voting in what kind of election Dan bought a home theater system for $178.99 on the installment plan. The term of the contact said that he would pay $35 a month for 6 months. How much are his total payment.$30.01$210$178.99$352. How much is Dan's finance charge?$31.01$210$178.99$35 He was the leader of Japan before, during, and after World War II. Which would be least likely to pollute water with heavy metals? A. a copper mine B. a plastics factory C. a paint factory D. a lumber mill 20 POINTS!!! PLEASE DONT GUESS!!!! Identify whether the statements apply to autotrophs, heterotrophs, or to both autotrophs and heterotrophs. helppppppppppppppppppppppppppp About 2 months ago, you got a $2,000 180-day 13% consumer loan. Today you made a $1,000 payment, resulting in a balance of $1,042.74. Thirty-eight days later you pay the loan in full. Calculate the total amount of that payment. Assume a 365-day year. What the heck do these terms mean I forgot my txbk but I have the rubric help me now plzzzzzz 50- 98 pts!!!nebulaprotostarwhite dwarfsupernovaneutron starspulsarblack wholespiral galaxybarred-spiral galaxyirregular galaxyquasarThe Big Bang theorydark matterdark energyThanks in advance... In rem jurisdiction occurs when a court uses its quasi in rem jurisdiction to compel a litigant to appear in court by attaching property that belongs to the litigant. Karleigh walks 5/8 mile to school every day. How far does she walk to school in 5 days?____________________ Which of the following is true about an invasive species? Choose all that apply.A.They can crowd out native speciesB.They are beneficial to the environment.C.They can change entire habitats.D.They can cause unnatural competition. In what way did alchemists contribute to the development of modern chemistry? (Points : 3) explained changes to matter in mystical, philosophical, or religious terms created models of the internal structure of atoms used experiments to analyze the relationship between gas pressure and volume developed practical equipment, new procedures, and methods of identifying unknown substances @Trexy Compare the farming methods used by the Inca and Egyptians.