Mathematics High School

True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.

A. True
B. False

Answers

Answer 1

Answer:

The statement is false.

Step-by-step explanation:

To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.

Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.

The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.

Related Questions

Best answer ????...........

Answers

I'm pretty sure it is a x=y- 4 I hope this helps and I hope it is correct! :)

-6 - -2 = -4

-5 - - 1 = -4

so y would = x -4

-6 = -2-4

-5 = -1-4


 Answer is 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.

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

Answers

The distribution process

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.

Solve for x: −2x − 4 > 8 (1 point)


x < −6

x > −6

x < −2

x > −2

Answers

−2x − 4 > 8
-2x > 12
   x < -6

answer
x < −6

Option A :  x < -6 is the correct choice.

We have a inequality -

−2x − 4 > 8

We have solve and find the solutions to this inequality.

What is an Inequality in mathematics ?

An inequality compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

−2x − 4 > 8

Add 4 on both sides -

-2x - 4 + 4 > 8 + 4

-2x > 12

Multiply both sides by -1, we get -

2x < - 12

Divide by 2 on both sides -

x < -6

Hence, x < -6 represents the solution of the inequality.

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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:

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.

Jose drives a truck for a soft drink company. His truck is filled with
15-ounce cans and 70-ounce bottles. Let c be the number of 15-ounce cans the truck is carrying, and let b be the number of 70-ounce bottles.Suppose the truck can carry at most 6000 pounds (96,000 ounces).

Using the values and variables given, write an inequality describing this.

PLEASE HELP! I'm struggling so much

Answers

Hi,

wt = 14 x + (820-x) 70 

Answer : 15c+70b<96,000

Step-by-step explanation:

what is 0.0018 in scientific notation

Answers

0.0018 in scientific notation
=
1.8 x 10^-3

Scientific notation makes it easier to work with very small numbers, like 0.0018.

To express the number 0.0018 in scientific notation, we need to rewrite it as a product of a number between 1 and 10, and a power of 10. Here are the steps:

Identify the Initial Decimal Point Position: The number 0.0018 initially has the decimal point immediately after the zero whole part, before any significant figures.

Move the Decimal Point to the Right: Move the decimal point to the right until there is exactly one non-zero digit to the left of the decimal point. For 0.0018, moving the decimal point three places to the right converts it to 1.8.

Count the Moves: In this case, we moved the decimal three places to the right. Each move to the right represents a negative exponent in scientific notation.

Write in Scientific Notation: The scientific notation form of 0.0018 is written as:
[tex]1.8 \times 10^{-3}[/tex]

The [tex]10^{-3}[/tex] indicates that the decimal point was moved three places to the right.

An item costs $410 before tax, and the sales tax is $20.50 . find the sales tax rate. write your answer as a percentage.

Answers

Hi there! For this, we can simply divide 20.50 by 410 to find the tax rate. 20.50/410 is 0.05. That's in decimal form. Multiply by 100 to get the percent form. 0.05 * 100 is 5. That's the number in percent form. The sales tax rate is 5%.

The percentage of sales tax is 5%.

Given that, an item costs $410 before tax, and the sales tax is $20.50.

What is the sales tax?

Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.

Let x% be the sales tax.

Now, x% of 410 = 20.50

0.01x ×410 = 20.50

⇒ 4.1x=20.50

⇒ x=20.50/4.1

⇒ x=5

Therefore, the percentage of sales tax is 5%.

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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°  

A car travel at an average speed of 48 miles per hour. how many miles does it travel in 4 hours and 15 minutes

Answers

48 miles times 4.25 = 204 miles
or 
48 miles in 60 minutes 
4 Hours and 15 minutes are 255 minutes
48/60=.08 miles per minute
255 * .08 = 204 miles

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

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.

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

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.

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

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

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

Which is greater 300 kelvins or 34 degrees Celsius ? Show your work

Answers

To answer this item, we are to convert one of the unit to the other. The approach to answering is to convert the 34 degrees Celsius to kelvin by the equation,

   T = C + 273.15

 Substituting the known value, 

  T = (34) + 273.15 = 307.15 K

 Since 307.15K is greater than 300K then, the greater value is 34 degrees C.

 ANSWER: 34 degrees C

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.


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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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 .

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.

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

 

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:


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.

Write an expression of the verbal phrase: the quotient of twelve and the product of three times x

Answers

So basically you're dividing 12 by 3 times x which is 12 over 3x. 12/3x
Final answer:

The expression of the verbal phrase 'the quotient of twelve and the product of three times x' is 12 / (3x).

Explanation:

The verbal phrase 'the quotient of twelve and the product of three times x' can be expressed as:

12 / (3x)

In this expression, '12' represents the dividend or numerator, '3' represents the factor or multiplier, and 'x' represents the variable or unknown. The quotient symbol '/' represents division, and the multiplication symbol 'x' represents the product of three times x.

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What would you expect to see in a blood sample of a person who has drowned in salt water? Explain in terms of osmosis. The stores below each have the same snowboard for an original price of $189.59. At which store can you get the snowboard for the lowest price? Read the excerpt from "Bluesman on the Move. All I want to find a place where I fit in. Based on the idiom, what type of place is the bluesman looking for? a place where he feels comfortable and accepted a place where he is able to hide his true identity a place where he can store all of his belongings a place where he stands out because he is unique Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.A coat hanger is in the shape of isosceles triangle ABC shown in the figure. Sides AB and BC are congruent.if m Jack's overtime wage is $3 per hour more than his regular hourly wage. He worked for 5 hours at his regular wage and 4 hours at the overtime wage. He earned $66. Find his regular People are most likely to use __________ to find their way around their hometowns. A. the positions of stars B. maps C. latitude and longitude D. landmarks Operating primarily in rural areas, the goals of _______________ were to topple the government in bogot and establish a socialist government. BRAINLESTThe desert fennec is a small fox that lives in the Sahara Desert. It has long limbs and long ears. Compared to the desert fennec, you might expect the Arctic fox to have _____.shorter furlarger eyeslonger legsshorter ears Is there a cure for Emphysema? Most genetic diseases result from mutations that cause a gene to produce a non-functioning ______________, which in turn blocks the functioning of a metabolic pathway NEED HELP NOW! NO TROLL ANSWERS! which area did Europeans bring enslaved Africans to work sugar plantations? A. Caribbean islands. B. western united states. C. Mexico. D. Canada. Choose the product. 4p^3 3(p 2^ + 8p - 3) 4p^5 + 12p^4 + 7p^3 4p^6 + 44p^3 4p^3 - 12p^2 +32p^4 4p^5 + 32p^4 -12p^3 The price elasticity of demand if the price of a pint falls from $8 to $6 is Select the phrase that best completes Lindas instruction to her grandmother. Linda: Abuelita, quiere usted este pastel de chocolate? Abuelita: No _______ el pastel de chocolate! Estoy a dieta. T puedes comerlo.te des me dame des nos da In any food web, which organism has the least available energy? A.birdsB plants or producer C fungi or decomposers D animals or carnivores Which statement(s) correctly compare the masses of protons, neutrons, and electrons? Check all that apply.Protons and neutrons have similar mass.Protons and electrons have similar mass.Neutrons and electrons have similar mass.Protons are smaller than a neutron or an electron.Neutrons are smaller than a proton or an electron.Electrons are smaller than a proton or a neutron. When ___ came into the music party, Marianne embarrassed Elinor by shouting this is a moment of great happinessMother DashwoodMrs. Jennings Colonel BrandonEdward You buy 3.17 pounds of apples, 1.25 pounds of pears, and 2.56 pounds of oranges. What is your total bill rounded to the nearest cent? Read the excerpt from "The Lady Maid's Bell."I had been near a week at Brympton before I saw my master. Word came that he was arriving one afternoon, and a change passed over the whole household. It was plain that nobody loved him below stairs. Mrs. Blinder took uncommon care with the dinner that night, but she snapped at the kitchen-maid in a way quite unusual with her; and Mr. Wace, the butler, a serious, slow-spoken man, went about his duties as if he'd been getting ready for a funeral. He was a great Bible-reader, Mr. Wace was, and had a beautiful assortment of texts at his command; but that day he used such dreadful language that I was about to leave the table, when he assured me it was all out of Isaiah; and I noticed that whenever the master came Mr. Wace took to the prophets.Which best describes a gothic element in the excerpt and the social attitude it reveals?a.The arrival of Mr. Brympton causes fear, revealing that men are powerful in the world.b.Mrs. Blinder prepares a dinner well, revealing that cooking is considered the highest art.c.Mr. Wace reads the Bible, revealing that religion is no longer a respected institution.d.The servants do not like the master, revealing that having servants is no longer acceptable. Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.What is the youngest age Julio can be?Enter your answer in the box. years Steam Workshop Downloader