How many feet of fencing are need to enclose a triangular lot?

Answers

Answer 1
There is no specific measurement given in this problem. However, you simply solve for the perimeter of the triangle to know the number of feet of fencing that is needed. 

Perimeter is simply adding up all the sides of the triangle. In the event that the area of the triangle is given, simply solve for its side measures using the formula of the area of a triangle.

Area of a  right triangle = ab/2 
where a and b are the short and long legs of the right triangle and you can solve for the hypotenuse using the Pythagorean theorem.  

Area of an equilateral triangle = √3/4 * a²
where a is the measure of the side. equilateral means that all three sides are equal in measure.

Area of a triangle = hb/2
where h is the height; b is the base. 

Related Questions

What are expressions like 4(3+2) and 4(3)+4(2) called

Answers

The distribution process

Identify the transformations that map rectangle A to triangle A

Answers

we need the picture kiddo, we don't know what shape or size the triangle is.

Answer:

It is D. I just did it.  D) reflect over y-axis, translate 4 units right, then translate 10 units down

Step-by-step explanation:


John bought 15 cookies and ate 3 of them. What percentage did he eat?

Answers

20% is the answer
Hope this helps
He ate 5% of them the cookies.

Name four angles between 0 and 360 degrees with a reference angle of 20 degrees Show work

Answers

20, 180 - 20, 180 + 20 and 360 - 20

i.e. 20°, 160°, 200° and 340°

Answer with explanation:

Reference Angle =20°

Angle Lies in First Quadrant.

⇒≡Reference Angle of 20°, which should lie between 0° and 360° can be evaluated by using the formula=360°n+20°, for n=0,1,2,3,4,....

So,First Reference angle of 20°=20°

Second reference angle of 20°=360°× 1+20°=380°

Third Reference angle of 20°=360°× 2+20°

       =720°+20°

       =740°

Fourth Reference angle of 20°=360°×3+20°

       =1080°+20°

       =1100°  

Which table shows the same rate of change of y with respect to x as y =4-5/8x? How would I even figure this out?

Table A
Table B
Table C
Table D

Answers

To figure this out you have to plug in values
c
4-5/8(-4)=6.5
4-5/8(2)=2.75
4-5/8(4)=1.5
4-5/8(8)=-1

Answer:

Table B

Step-by-step explanation:

from the given equation

   [tex]y=4-\dfrac{5}{8}x[/tex]

now to figure out the table which is correct   we will insert values of x one by one in the given equation and will find the value of y.

Table A    [tex]y=4-\dfrac{5}{8}(-3)[/tex]

                 [tex]y=4+\dfrac{15}{8}[/tex]    

Table B     [tex]y=4-\dfrac{5}{8}(-4)[/tex]    

                [tex]y=4+2.5[/tex]  = 6.5

Table C     [tex]y=4-\dfrac{5}{8}(-4)[/tex]    

                 [tex]y=4+2.5[/tex]  = 6.5

Table D    [tex]y=4-\dfrac{5}{8}(-3)[/tex]    

                  [tex]y=4+\dfrac{15}{8}[/tex]    

hence the correct answer is Table B

A water tank is in the shape of a cone.Its diameter is 50 meter and slant edge is also 50 meter.How much water it can store In it ? it releases water to a gated apartment building at the rate of 400 liters per second. In how many minutes tank will be empty?    

Answers

To get the most accurate answer possible, we're going to have to go into some unsightly calculation, but bear with me here:

Assessing the situation:

Let's get a feel for the shape of the problem here: what step should we be aiming to get to by the end? We want to find out how long it will take, in minutes, for the tank to drain completely, given a drainage rate of 400 L/s. Let's name a few key variables we'll need to keep track of here:

[tex]V[/tex] - the storage volume of our tank (in liters)
[tex]t[/tex] - the amount of time it will take for the tank to drain (in minutes)

We're about ready to set up an expression using those variables, but first, we should address a subtlety: the question provides us with the drainage rate in liters per second. We want the answer expressed in liters per minute, so we'll have to make that conversion beforehand. Since one second is 1/60 of a minute, a drainage rate of 400 L/s becomes 400 · 60 = 24,000 L/min.

From here, we can set up our expression. We want to find out when the tank is completely drained - when the water volume is equal to 0. If we assume that it starts full with a water volume of [tex]V[/tex] L, and we know that 24,000 L is drained - or subtracted - from that volume every minute, we can model our problem with the equation

[tex]V-24000t=0[/tex]

To isolate [tex]t[/tex], we can take the following steps:

[tex]V-24000t=0\\ V=24000t\\ \frac{V}{24000}=t [/tex]

So, all we need to do now to find [tex]t[/tex] is find [tex]V[/tex]. As it turns out, this is a pretty tall order. Let's begin:

Solving for [tex]V[/tex]:

About units: all of our measurements for the cone-shaped tank have been provided for us in meters, which means that our calculations will produce a value for the volume in cubic meters. This is a problem, since our drainage rate is given to us in liters per second. To account for this, we should find the conversion rate between cubic meters and liters so we can use it to convert at the end.

It turns out that 1 cubic meter is equal to 1000 liters, which means that we'll need to multiply our result by 1000 to switch them to the correct units.

Down to business: We begin with the formula for the area of a cone,

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

which is to say, 1/3 multiplied by the area of the circular base and the height of the cone. We don't know [tex]h[/tex] yet, but we are given the diameter of the base: 50 m. To find the radius [tex]r[/tex], we divide that diameter in half to obtain r = 50/2 = 25 m. All that's left now is to find the height.

To find that, we'll use another piece of information we've been given: a slant edge of 50 m. Together with the height and the radius of the cone, we have a right triangle, with the slant edge as the hypotenuse and the height and radius as legs. Since we've been given the slant edge (50 m) and the radius (25 m), we can use the Pythagorean Theorem to solve for the height [tex]h[/tex]:

[tex]h^2+25^2=50^2\\ h^2+625=2500\\ h^2=1875\\ h=\sqrt{1875}=\sqrt{625\cdot3}=25\sqrt{3}[/tex]

With [tex]h=25\sqrt{3}[/tex] and [tex]r=25[/tex], we're ready to solve for [tex]V[/tex]:

[tex]V= \frac{1}{3} \pi(25)^2\cdot25\sqrt{3}\\ V= \frac{1}{3} \pi\cdot625\cdot25\sqrt{3}\\ V= \frac{1}{3} \pi\cdot15625\sqrt{3}\\\\ V= \frac{15625\sqrt{3}\pi}{3} [/tex]

This gives us our volume in cubic meters. To convert it to liters, we multiply this monstrosity by 1000 to obtain:

[tex]\frac{15625\sqrt{3}\pi}{3}\cdot1000= \frac{15625000\sqrt{3}\pi}{3}[/tex]

We're almost there.

Bringing it home:

Remember that formula for [tex]t[/tex] we derived at the beginning? Let's revisit that. The number of minutes [tex]t[/tex] that it will take for this tank to drain completely is:

[tex]t= \frac{V}{24000} [/tex]

We have our [tex]V[/tex] now, so let's do this:

[tex]t= \frac{\frac{15625000\sqrt{3}\pi}{3}}{24000} \\ t= \frac{15625000\sqrt{3}\pi}{3}\cdot \frac{1}{24000} \\ t=\frac{15625000\sqrt{3}\pi}{3\cdot24000}\\ t=\frac{15625\sqrt{3}\pi}{3\cdot24}\\ t=\frac{15625\sqrt{3}\pi}{72}\\ t\approx1180.86[/tex]

So, it will take approximately 1180.86 minutes to completely drain the tank, which can hold approximately [tex]V= \frac{15625000\sqrt{3}\pi}{3}\approx 28340615.06[/tex] L of fluid.

When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickels?

Answers

Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25

The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73

Now you have a system of equations.

n + p = 25
0.05n + 0.01p = 0.73

Solve the first equation for n:
n = 25 - p

Now substitute into the second equation.

0.05(25 - p) + 0.01p = 0.73

1.25 - 0.05p + 0.01p = 0.73

-0.04p = -0.52

p = 13

There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.

n + 13 = 25
n = 12

There are 13 pennies and 12 nickels.

Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.

Don't give me the answer, just explain how I can solve it, please:
SOLVE: 13 - 3x = 4 (x - 2)

Answers

13 - 3x = 4 (x - 2)

distribute 4 through the parenthesis

13 - 3x = 4x - 8

move variables to the left side and change its sighn

13 - 3x - 4x = - 8
 
move constant to the right side and change its sign

-3x - 4x = - 8 - 13

collect like terms 

-7x = - 8 - 13

-3x - 4x = - 8 - 13

calculate the sum or difference 

-7x = - 21

divide both sides of the equation by - 7

x = 3


Answer:

that is the explanation elect me for brainiest pls.

Step-by-step explanation:

I hope this helps(:

If ∆JKL ≅ ∆PQR, which one of these is not a pair of corresponding parts? ​∠J and ∠P​ and ​∠L and ∠R​ and

Answers

When trying to prove that two triangles are congruent there are three congruency rules SAS, ASA and SSS. From the looks of things though I would say it would be the third one because just from the way you named the triangles I could tell that the two angles could correspond.

Answer:

J and P

Step-by-step explanation:

in the diagram below eg=100, ef=4x-20, and fg=2x+30

Answers

The lengths of segments x=15, EF=40, FG=60.

To solve for x, we can use the fact that the total length of segment EG is equal to the sum of the lengths of segments EF and FG.

EG = EF + FG

Substituting the given values, we get:

100 = 4x - 20 + 2x + 30

Combining like terms, we get:

100 = 6x + 10

Subtracting 10 from both sides, we get:

90 = 6x

Dividing both sides by 6, we get:

15 = x

Therefore, the value of x is 15.

We can now solve for the lengths of segments EF and FG.

EF = 4x - 20

Substituting the value of x, we get:

EF = 4(15) - 20

EF = 60 - 20

EF = 40

FG = 2x + 30

Substituting the value of x, we get:

FG = 2(15) + 30

FG = 30 + 30

FG = 60

Therefore, the lengths of segments EF and FG are 40 and 60, respectively.

Answer:

x = 15

EF = 40

FG = 60

Factor 9x^6 – 16y^6 completely. First factor each term. 9x^6 = (__)2 16y^6 = (__)2

Then use a2 – b2 = (a – b)(a + b).

Show your work.

9x^6 – 16y^6 =

Answers

see the equation they want you to use. factor to make it like that.
9 is 3^2 and 16 is 4^2
x^6 is (x^3)^2

so for the answer. factor each term
9x^6 = (3x^3)^2
16y^6 = (4y^3)^2

see that "a" is 3x^3 and "b" is 4y^3 ? put it all together

= (3x^3 - 4y^3)(3x^3 + 4y^3)

Answer:

see the equation they want you to use. factor to make it like that.

9 is 3^2 and 16 is 4^2

x^6 is (x^3)^2

so for the answer. factor each term

9x^6 = (3x^3)^2

16y^6 = (4y^3)^2

see that "a" is 3x^3 and "b" is 4y^3 ? put it all together

= (3x^3 - 4y^3)(3x^3 + 4y^3)

Step-by-step explanation:

The picture below shows a pole and its shadow: What is the height of the pole? A.196 B.244 C.388 D.364

Answers

what's the length of the shadow I can't do it without the shadow

Answer: 364

Step-by-step explanation: a^2+b^2=c^2

27^2+b^2=365^2

729+b=133,225

-

729 cancel that out then

133,225

-

729

————

132,496 squared~ 364

The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

Answers

23/x = 40/17
23(17) = 40x
391/40 = x
9.775 = x

The pair of triangle shown in the diagram are similar. Similar triangle have proportional corresponding sides. So you can write a proportion connecting all given known and unknown sides:

[tex]\dfrac{23}{40}=\dfrac{x}{17}.[/tex]

From here you have that

[tex]40\cdot x=23\cdot 17,\\ \\x=\dfrac{23\cdot 17}{40}=\dfrac{391}{40}=9.775\approx 9.8\ cm.[/tex]

Answer: 9.8 cm.


Find the solution(s) to x2 – 14x + 49 = 0

Answers

Answer:

x=7

Step-by-step explanation:

[tex]x^2 - 14x + 49 = 0[/tex]

Factor the left hand side of the equation

product is 49 and sum is -14

-7 times -7 is 49

-7 plus -7 is -14

so two factors are -7 and -7

[tex]x^2 - 14x + 49 = 0[/tex]

[tex](x-7)(x-7)= 0[/tex]

Now we apply zero factor property

SEt each factor =0 and solve for x

x-7 =0 , x=7

The correct solution for the equation [tex]x^{2}- 14x+49 = 0[/tex]  is [tex]x = 7[/tex].

Given equation,

[tex]x^{2}- 14x+49 = 0[/tex]

The equation is a quadratic equation. A polynomial equation of second degree is known as quadratic equation.

The standard form of a quadratic equation is:

[tex]ax^{2} + bx + c = 0[/tex]

Find the solution of given equation for x, Use the standard formula:

x = (-b ± √(b² - 4ac)) / (2a)

From the question,

a = 1, b =-4 , c = 49.

Put the value of a, b ,c in the formula to find x.

x = (-(-14) ± √((-14)² - 4(1)(49))) / 2(1)

= (14 ± √(196 - 196)) / 2

= (14 ± √(0)) / 2

= [tex]\dfrac{14}{2}[/tex]

= 7

The value of the discriminant [tex]\sqrt{b^{2} - 4ac }[/tex] is 0. this indicates that their will be only one value of x.

The equation [tex]x^{2}- 14x+49 = 0[/tex] has a single solution which is x =7.

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A 5 in by 7in photograph is surrounded by a frame of uniform width the area of the frame equals the area of the photograph find the width of the frame

Answers

Let x be the width of the frame. 
Area of the picture is 5*7 = 35 sq in

Area of the frame given as the same, frame = 35 sq in also


Therefore the total area (picture & frame) will be 70 sq in



A simple equation would be made and it will look like this: (7+2x) * (5+2x) = 70

Using the FOIL method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0


unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35
 x = -b sqrt b^2 – 4*a*c divided by 2 * a

  x = -24 ± sqrt 24^2 -4*4*(-35) divided by 2*4

 x = -24 ±sqrt 576 - -(560) divided by 8

 x = -24 ± sqrt 576 + 560 divided by 8

 x = -24 ± sqrt1136  divided by 8

 x = -24 + 33.7046 divided by 8
x =   9.7046 divided by 8
x =1.213 inches is the answer

 

Solve the inequality and express your answer in interval notation. x^2+8x+3<0

Answers

x² + 8x + 3 < 0

use the quadratic formula;

x = -8 + 2√13 / 2, -8 - 2√13 / 2

-4 - √13 < x < -4 + √13  (this is what they're asking as in interval notation)

hope this helps, God bless!

Answer:

-4 - √13 < x < -4 + √13

Step-by-step explanation:

And object is traveling at a steady speed of 8 2/3 mph how long will it take to object to travel 5 1/5 miles

Answers

[tex]\bf \begin{array}{ccll} miles&hours\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 8\frac{2}{3}&1\\\\ 5\frac{1}{5}&h \end{array}\implies \cfrac{8\frac{2}{3}}{5\frac{1}{5}}=\cfrac{1}{h}\implies \cfrac{\quad \frac{26}{3}\quad }{\frac{26}{5}}=\cfrac{1}{h}\implies \cfrac{26}{3}\cdot \cfrac{5}{26}=\cfrac{1}{h} \\\\\\ \cfrac{5}{3}=\cfrac{1}{h}\implies 5h=3\implies h=\cfrac{3}{5}[/tex]

which is just 36 minutes.

How do you solve for m using the equation 5.01cm^3=m/1.2cm^3

Answers

Final answer:

To solve for 'm' in the equation 5.01cm^3 = m/1.2cm^3, multiply both sides of the equation by 1.2cm^3. This yields the solution m approx = 6.012cm^6.

Explanation:

To solve the equation 5.01cm^3 = m/1.2cm^3 for m, you should first isolate m by multiplying both sides of the equation by 1.2cm^3. So, it becomes 5.01cm^3 * 1.2cm^3 = m. By conducting this multiplication, you get approximately 6.012 cm^6 = m. So, the solution to the equation is m approx = 6.012cm^6

To solve for m in the equation 5.01 cm3 = m / 1.2 cm3, we need to isolate the variable m. To do this, we can multiply both sides of the equation by 1.2 cm3. This cancels out the units of cm3 on the right side, leaving us with 5.01 cm3 * 1.2 cm3 = m.

Next, we can perform the multiplication to find the value of m. 5.01 cm3 * 1.2 cm3 = 6.012 cm3. Therefore, m = 6.012 cm3.

So, the solution to the equation is m = 6.012 cm3.

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A circle has a radius of 10 centimeters. If 7/8 of the circle is cut away, what is the area of the remaining portion? Use 3.14 for π.

A) 44.86 cm2
B) 3.93 cm2
C) 39.25 cm2
D) 358.86 cm2

Thank you :)

Answers

First let's calculate the area:

A=pi*R^2

And we will have:

A=3,14*100 => A=314

Now we need to know how much 7/8 of 314 is:

(87,5%) 7/8*314 = 274,75

The only thing left to do is the diference between the 2 values 314 (100%) and 274,75 (87,5%), wich will be:

314-274,75=39,25

C .

Given the quadratic function 3x^(2) =8x-5 what are the values of x?

Answers

3x^2 = 8x - 5

3x^2 - 8x + 5 = 0    move all terms to one side

3x^2 - 3x - 5x + 5 = 0  split them into two terms

3x(x - 1) - 5(x - 1) = 0   factor out common terms in the first two terms, then the last two terms.

(x - 1)(3x - 5) = 0

x = 1, 5/3

hope this helped, God bless!

Answer:

The values of x are [tex]\frac{5}{3}[/tex] and 1.

Step-by-step explanation:

Given quadratic function[tex]3x^2=8x-5[/tex]

We have to solve for x.

Consider the given quadratic function [tex]3x^2=8x-5[/tex]

This can be written as [tex]3x^2-8x+5=0[/tex]

We can solve the above quadratic equation using middle term split method,

-8x can be written as -3x - 5x

Thus, the equation becomes,

[tex]3x^2-8x+5=0[/tex]

[tex]\Rightarrow 3x^2-3x-5x+5=0[/tex]

Taking 3x common from first two term and -5 common from last two terms, we get,

[tex]\Rightarrow 3x(x-1)-5(x-1)=0[/tex]

[tex]\Rightarrow (3x-5)(x-1)=0[/tex]

Now using zero product property [tex]a.b=0 \Rightarrow a=0\ or\ b=0[/tex] , we have,

[tex]\Rightarrow (3x-5)=0[/tex] or [tex]\Rightarrow (x-1)=0[/tex]

[tex]\Rightarrow x=\frac{5}{3}[/tex] or [tex]\Rightarrow x=1[/tex]

Thus, The values of x are [tex]\frac{5}{3}[/tex] and 1.

The function graphed shows the total cost for a taxi cab ride for x miles.

Select from the drop-down menus to correctly identify the taxi cab ride information provided by the graph.

The slope is:
A)5
B)3
C) 2.5
D) 0.2

The slope represents:
A)The total cost of the taxi ride
B)The total number of miles driven
C)The cost per mile traveled
D) the initial cost of the ride

Answers

the slope is 2.5

i know this because:

(0,2)  (6,18)

18-2 =  16/6 = 2.5

6 - 0 =16/6 =  2.5

What does it mean for event b to be independent of event​ a?

Answers

"independence" here means that event b does not in any way influence event a, and vice versa.

For the polynomial function yequals=​f(x) ​below, choose the statements that most accurately describe the function.

Answers

C. Statements II, IV, and V accurately describe this function.

The sides of the cubes are numbered 1 through 6. If they are both tossed, what is the probability that they will both be a 2?

Answers

1/6 for each so 2/12

it will be 1/36 because the probability of rolling a 2 on one dice is 1/6 so the chance of rolling a 2 on the second dice as well would be 1/36

Angle∠efg and angle∠gfh are a linear​ pair, mangle∠efgequals=55nplus+2020​, and mangle∠gfhequals=33nplus+1616. what are mangle∠efg and mangle∠​gfh?

Answers

Answer:

its A on edge

Step-by-step explanation:

what is an equation of the line in slope intercept form m=3 and the y-intercept is (0 4)

Answers

y = mx + b  (m = 3) y-intercept (0,4)

y = 3x + 4

hope this helps, God bless!
The equation will be y = 3x + 4

Fred the clown can create 17 animal balloons every 15 minutes.how many animal balloons he could create in 30 minutes and in 60 minutes.

Answers

I’m 30 mins he makes 32 in 60 mins he makes 34 balloons

Answer:

34 balloons in 30 minutes.

68 balloons in 60 minutes.

Step-by-step explanation:

We have been given that Fred the clown can create 17 animal balloons every 15 minutes. We are asked to find the number of balloons created by Fred in 30 minutes and 60 minutes.

To find number of balloons created by Fred in 30 minutes, we will multiply 17 by 2 as 30 is 2 times 15.

[tex]\text{Balloons created in 30 minutes}=2\times 17[/tex]

[tex]\text{Balloons created in 30 minutes}=34[/tex]

Therefore, Fred can create 34 balloons in 30 minutes.

To find number of balloons created by Fred in 60 minutes, we will multiply 17 by 4 as 60 is 4 times 15. This means Fred will create 4 times more balloons in 60 minutes than 15 minutes.

[tex]\text{Balloons created in 60 minutes}=4\times 17[/tex]

[tex]\text{Balloons created in 60 minutes}=68[/tex]

Therefore, Fred can create 68 balloons in 60 minutes.

The quotient of 12 times an unknown number and 13 is 6. What is the value of the unknown number?

Answers

(12x)/13 = 6

12x = 78

x = 6.5

You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make? Explain how you found your answer. ( The Trail Mix Recipe : 2 2/3 cups granola, 1 1/3 cups of peanuts )

Answers

Hello! Sorry that I'm late. Okay, so each batch calls for 2 2/3 cups of granola and 1 1/3 cups of peanuts. Let's divide the number of cups available total by the amount per batch. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the other faction over. Let's do it. 12/1 * 3/8 = 36/8 or 4 1/2 in mixed number form. 17/2 * 3/4 = 51/8 or 6 3/8 in simplest form. You can only make 4 full batches of trail mix, because you can only use the full serving of both granola AND peanuts for 4 of them.

What is the slope of the line passing through the points (2,7) and (-1,3)?

Answers

the slope of the line is 4/3

Slope of line passing through 2 points, The slope of line passing through points (2,7) and (-1,3) is 4/3.

What is formula for slope of line passing through 2 points?

Slope=(y2-y1)/(x2-x1)

The line is passing through two points (2,7) and (-1,3).

The formula for slope is (y2-y1)/(x2-x1).

x1=2,x2=-1,y1=7,y2=3

Slope=3-7/-1-2

=-4/-3

=4/3

Therefore slope of line is 4/3 if line passing through the points (2,7) and (-1,3).

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According to the humanistic perspective, what motivates individuals? Do you think the federalists or the anti federalists had the more valid arguments A van travels 150 miles on 5 gallons of gas. how many gallons will it need to travel 630 miles? davids math grades are 85 49 67 and 83 on 4 tests. what grade must he earn on the next test to have a mean of 75 What is 32,020.20 rounded to the nearest square mile What happens when a filter is applied to a database?A. All records that dont meet the criteria are removed from view.B. All records that dont meet the criteria are permanently removed from the database.C. Some records are permanently removed from the database.D. Records that meet the criteria are moved to the top of the database and highlighted. Your friend is taking her first psychology class. she comes to you saying, "i don't understand why we are studying the brain; i thought this was a psychology class." because of your background in psychology, your best response should be Write the point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. In this lesson, connecting a rhymed phrase or poem with a concept to be learned is calleda.Writing poetryc.Rhymingb.Keywordingd.Singing Trace the events of the late 1680s that led to the English Bill of Rights Which of the following expressions is equal to 5 - 2m?7 - 2(m + 1)7 - (2m - 5)7 - 2(m - 2) Factor a 2 bc + ab 2 c + abc 2A. a2b2c2(a + b + c)B. a2bc(a + b + c)C..abc(a + b + c) In terms of biomechanics, which circumstance leads to higher levels of stress on a person's body? Scientists classify the nitrogen, carbon, and water cycles as biogeochemical cycles. true or false A 1.5 lb package of seedless grapes costs $3.81. Round to the nearest hundredth of a dollar. Find the unit price URGENT PLEASE ANSWERJesi is on vacation and visited a seafood restaurant to eat a shrimp dinner. About thirty minutes after eating, she begins to feel ill and her stomach is rumbling. Shortly after, she begins to vomit. Jesi's body is experiencing a reaction to an ________ stimulus.internalresponseexternalbiological clock During a stressful or threatening situation, which of the following is the best description of how the nervous systems in your body would respond?The parasympathetic nervous system releases adrenaline and the sympathetic nervous systems calms the system back down.The parasympathetic nervous system senses the danger and the sympathetic nervous system responds by releasing adrenaline.The parasympathetic nervous system brings the system back to normal after the sympathetic nervous systems signals to release adrenaline.Which of the following scenarios is the best example of positive feedback?As blood pressure decreases, your heart rate increases.As blood pressure greatly decreases, blood flow decreases, and blood pressure drops more.As body temperature rises, you begin to sweat.As body temperature decreases, your body begins to shiver. The measure of an organism's ability to compete in the struggle for existence is known as A letter written by another person that provides insight into aspects of the applicant's history that may not be represented in the applicants transcript is called Musical theatre changed my life. When I was a child, I was always a problem for my parents. I never wanted to go to school, study my homework, or do my chores. No one knew how to control me. My mom once said that she was at her wits' end by the time I turned 13 years old. The truth was that I had become insecure, and I hid from my fears by pretending to be too "bored" to do any real work. That was when my parents signed me up for stage classes. Acting and singing not only showed me my true potential, they taught me an essential fact: life is a team effort, and we all have different skills that we use together to make progress. THROUGH LESSONS, SWEAT, AND TEARS, MY EXPERIENCE OF WORKING IN MUSICAL THEATRE HAS HELPED ME BECOME THE WELL-ROUNDED ADULT I AM TODAY. I am forever thankful to my parents for not giving up on me and for sending me to classes!Which of the following parts of a paragraph is the section in bold most likely an example of?A. Topic sentenceB. HookC. Supporting Evidence D. Conclusion how many examples of wrongs done by the crown to the colonies. Steam Workshop Downloader