10 POINTS + BRAINLIEST ANSWER!!

Based on the ideal gas law, what is the volume, in liters, of a sample that contains 1,200 moles?

A. 6,000

B. 24,000

C. 36,000

D. 60,000

10 POINTS + BRAINLIEST ANSWER!!Based On The Ideal Gas Law, What Is The Volume, In Liters, Of A Sample

Answers

Answer 1
The answer would be D. 60,000 because the problem tells us V (volume) is equal to 50 times the number of moles. We know there are 1,200 moles, so multiple 50*1,200 to get 60,000.

Related Questions

is -3 larger than -2?
only answer if you know and not for the points

Answers

Hey there!

Your answer is no.
-3 is not larger than -2. This is because the larger the number is with a negative sign, the smaller the number is!

Hope this helps you.
Have a great day!
Hello there!

No.

-3 is not greater than -2.

When we are speaking about negative numbers, the "lower" the number is, the greater. -2 is greater than -3 because it is closer to the positive side than negative side. -3 is farther away from 0. But as for -2, is alot closer to 0 than -3.

Your answer, No.

I hope this helps you!

In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 7 in?
Enter your answer in the box.

Answers

14 inches.  A 30-60-90 triangle has a set ratio for the sides which is x:x√3:2x for the sides opposite the corresponding angle. (30 = x, 60 = x√3, 90 =2x) the shortest side is the side opposite the 30-degree angle so x=7. The hypotenuse is the side opposite the 90-degree angle. they hypotenuse = 2x. Substitute x. 2(7)=14

The length of the hypotenuse is 14in

SOH CAH TOA identity

Given a  30-60-90 triangle where:

Length of the shorter leg = 5cm (adjacent)

The hypotenuse is what we need..

[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]

Substitute the given parameters

[tex]cos 60 = \frac{7}{h}\\ h =\frac{7}{cos 60}\\ h = \frac{7}{0.5}\\ h = 14in\\ [/tex]

Hence the length of the hypotenuse is 14in

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Triangle ABC is translated on the coordinate plane below to create triangle A'B'C':

If parallelogram EFGH is translated according to the same rule that translated triangle ABC, what is the ordered pair of point H'?

Answers

Answer: The new coordinates of Point H' will be (6, -5)

In the triangle, point A is moved 5 units to the right and down 6 units. If you count the same amount of space right and down from point H, you will end up on point (6, -5).

These are the new coordinates after the translation.

The new coordinates of Point H' will be (6, -5) after the translation.

Triangle ABC is translated on the coordinate plane below to create triangle A'B'C':

If parallelogram EFGH is translated according to the same rule that translated triangle ABC.

How to find the point after translation?

In the triangle, point A is moved 5 units to the right side and down 6 units.

If we count the same amount of space right side and down from point H, we will end up on a point (6, -5).

Therefore, The new coordinates of Point H' will be (6, -5) after the translation.

Learn more about translation;

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HELP!!! What is the slant height x of the square pyramid? Express your answer in radical form.

Answers

check the picture below.

make sure your calculator is in Degree mode.
Final answer:

To find the slant height of a square pyramid, we can use the Pythagorean theorem. The theorem should be applied as follows: A² = (y² + h²), to solve for A which is the slant height. Radical form implies that the answer will include the square root symbol.

Explanation:

The question asks to find out the slant height x of a square pyramid. In order to do that, we have to invoke the Pythagorean theorem (x² + y² = h²). Here, x represents the slant height, y could be the half of the side of the base of the pyramid and h is the height from the base to the tip of the pyramid. Assuming that the pyramid is a right pyramid, the Pythagorean theorem applies.

So, the equation becomes A² = y² + h², where A is the slant height we are looking for. We solve for A to get, A = √(y² + h²). This is your slant height in radical form.

Please note you would need specific values for y and h to compute the numerical value of A.

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An artist drew a rectangle. the artist then modified the rectangle so thatthe length ofthe rectawngle increased by 30 percent and the width of the rectangle decreased by 40 percent. after the modification, what was the percent decrease in the area of the rectangle?

Answers

the dimensions of the original rectangle 
length - L
width - W
area = L*W = LW
after the modification, new dimensions are
length increased by 30 % 
Length = L * 1.3 = 1.3L
Width = W * 0.6 = 0.6W
new area = 1.3L * 0.6W
                = 0.78LW
the percent decrease in area 
decrease % = (difference in area)/original area * 100
                    = (LW - 0.78LW)/LW * 100
                    = 0.22LW/LW * 100
                    = 22%
percent decrease is 22%

Where is the vertex of the parabola?



y = x2 + 6x + 7



above the x-axis

on the x-axis

on the y-axis

below the x-axis

Answers

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ \begin{array}{llcccl} y = & 1x^2& +6x& +7\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \qquad \left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{6}{2(1)}~~,~~7-\cfrac{6^2}{4(1)} \right)\implies (-3~~,~~7-9)\implies (-3~~,~~-2)[/tex]

Answer:

below the x axis

Step-by-step explanation:

i took the test

Easy Algebra 2 Rational Expressions question

Answers

IF it is nonpermissible then we are checking the denominator to see where it equals 0 at

y - 3 = 0
y = 3 - this is where the fraction is undefined (or nonpermissible)

Out of 1100 discs tested 13 are defective. Estimate the number of defective discs in a batch of 41000

Answers

I’d say 485 discs are defective out of 41000

A child walks due east on the deck of a ship at 4 miles per hour.
The ship is moving north at a speed of 12 miles per hour.

Find the speed and direction of the child relative to the surface of the water.

Speed = mph

The angle of the direction from the north = (radians)
i have the speed i couldn't find the direction !,

Answers

If you drew the two vectors for the velocity you find a triangle rectangle since the two directions East and North form an angle of 90°. I drew first the vector towards East and second the vector towards North.

Therefore, to get the speed relative to the surface you have to sum the two vectors, which means you can apply the Pythagorean theorem to find the hypotenuse, having the two legs.

h = √(4² + 12²) = √160 = 4√10 = 12.65mph

In order to find the direction, you need to use trigonometry: 
- the sine of an angle is given by the ratio between the opposite side divided the hypotenuse;
- the cosine of an angle is given by the ratio between the adjacent side divided by the hypotenuse.

You can use either one, I will show you both:
sinα = O / H
inverting the formula: α = arcsin (O / H) = sin⁻¹ (O / H)
these two forms are equivalent.

Similarly:
cosβ = A / H
β = arccos (A / H) = cos⁻¹ (A / H).

Substituting your numbers:
α = sin⁻¹ (12 / 12.65) = sin⁻¹ (0.9486) = 1.25rad
β = cos⁻¹ (4 / 12.65) = cos⁻¹ (0.3162) = 1.25rad

As you can see, α = β so you can use either formula.

Your answer will then be: the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 1.25rad from East towards North.

ATTENTION!
If you drew first the vector towards North and then the one towards East, you get an equivalent triangle, which is rotated by 180° respect to the previous one. This way, what you earlier called Opposite is now Adjacent and vice-versa, but the formulas are still valid.
You will get:
α = sin⁻¹ (4 / 12.65) = sin⁻¹ (0.3162) = 0.32rad
β = cos⁻¹ (12 / 12.65) = cos⁻¹ (0.9486) = 0.32rad
And your answer will be: the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 0.32rad from North towards East.

angle measure represented by 4.5 rotations counterclockwise

Answers

keeping in mind that, angles are measured counter-clockwise, namely in the opposite direction of a clock, if you have a clock, notice the seconds hand how it moves, well, counter to that is going backwards, but that's how angles are regularly measured.

now, a full rotation, namely a "revolution", is a full go-around the circle, that'd be 360°, now if you 4 times around, that be 4*360 or  1440°, and if you go an extra 0.5 or half a circle, that'd be 180°, that will land us on 1440° + 180°.

If f(x) = 2x - 7, what is the value of f(2)?

A.-3
B.-5
C.5
D.3

Answers

f(2)= 2*2 - 7= 4 - 7= -3 is the answer

Russ is constructing the inscribed circle for △ABC . He has already used his compass and straightedge to complete the part of the construction shown in the figure.
What could be his next step?

A)Use the straightedge to draw a line through point N that intersects BC¯¯¯¯¯ .
B) Use the straightedge to draw the line through points M and P.
C) Place the point of the compass on point C and draw an arc that intersects AC¯¯¯¯¯ and BC¯¯¯¯¯ .
D)Place the point of the compass on point N and draw an arc that intersects AB¯¯¯¯¯ and BC¯¯¯¯¯ .

Answers

The answer is C.

Place the point of the compass on point C and draw an arc that intersects AC¯¯¯¯¯  and BC¯¯¯¯¯ .


Answer:  The answer is (C) Place the point of the compass on point C and draw an arc that intersects AC and BC.

Step-by-step explanation:  Given that Russ is constructing the inscribed circle for △ABC and he has already used his compass and straightedge to complete the part of the construction shown in the given figure. We are to find his next step.

Since Russ has already constructed the angle bisector of ∠B, so next he shoul construct the angle bisector of either ∠A or ∠C. Since the steps for constructing angle bisector of ∠A are not in the options, so he should go with ∠C. For that, he must place the point of the compass on the point C and draw an arc that intersects AC and BC.

Thus, (C) is the correct option.

What is the length of DD'?

Answers

The length of DD' is 5.39 units.

Answer:

The length of DD' is [tex]\sqrt{29}[/tex] or 5.39 units.

Step-by-step explanation:

The distance formula is

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the given figure it is clear that the coordinates of D are (2,0) and coordinates of D' are (7,2).

Using distance formula we get

[tex]DD'=\sqrt{(7-2)^2+(2-0)^2}[/tex]

[tex]DD'=\sqrt{25+4}[/tex]

[tex]DD'=\sqrt{29}[/tex]

[tex]DD'\approx 5.39[/tex]

Therefore the length of DD' is [tex]\sqrt{29}[/tex] or 5.39 units.

I need help with this as well

Answers

n 19 -----------> AB/AC=(4/6)=2/3

n 20 ------------> BC/CD=[AC-AB]/[AD-AC]=(6-4)/(9-6)=2/3

n 21-------------> BD/AE=[AD-AB]/[AE]=(9-4)/(12)=5/12

n 22   7 and 28  find the geometric mean of the two number
step 1
Multiply the two numbers together: 
28*7=196 
step 2
take the square root: 
sqrt(196)=14 
the answer is 14

n 23  Simplify the ratio 10 ft/30 in---> divided between 2 both members
5 ft/15 in-----> divided between 5 both members ---> 1 ft/3 in

n 24 
if AB=4 -------> AB~FG
FG=8
then
AB*factor=FG-------- > 4*factor=8-- > factor=8/4=2
the figure ABCDE is half of the figure FGHJK
then
BC=4
AE=CD=5
and 
ED=6
therefore
the perimeter=[4+4+5+5+6]=24 units

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

Answers

supplementary angles sum = 180
lets x  = measure of angle Y

x + 3x = 180
4x = 180
x = 45

angle Y = 45
angle X = 3 x 45 = 135

answer
Angle X = 135

Answer:

The measure of ∠X is 135°

Step-by-step explanation:

Given that angles X and Y are supplementary and also angle X is 3 times the measure of angle Y.

we have to find the measure of angle X.

Since X and Y are the supplementary therefore these add up to 180° i.e

[tex]\angle X+\angle Y=180\°......(1)[/tex]

Also angle X is 3 times the measure of angle Y i.e

[tex]\angle X=3\angle Y[/tex]

Substitute this value in equation (1), we get

[tex]3\angle Y+\angle Y=180\°......(1)[/tex]

[tex]4\angle Y= 180\°[/tex]

[tex]\angle Y=\frac{180\°}{4}=45\°[/tex]

[tex]\angle X=3\times 45\°=135\° [/tex]

Hence, the measure of ∠X is 135°

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are the coordinates of B' after the translation?
a.(1, 6)
b.(–3, 6)
c.(0, 0)
d.(3, 1)

Answers

the coordinates are -3 , 6

Answer:

b. [tex](-3,6)[/tex]

Step-by-step explanation:

We have been given that triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift x-coordinate of point B to left by 3 units and y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

[tex]B(0,5)\rightarrow B'((0-3),(5+1))\rightarrow (-3,6)[/tex]

Therefore, the coordinates of point B' are [tex](-3,6)[/tex] and option 'b' is the correct choice.

At the beginning of an experiment, there are 600 grams of contaminants. Each hour, half of the contaminants are filtered out. How many grams of contaminants remain after 4 hours?

Answers

37.5 grams of contaminants will remain after 4 hours.
First hour - 300
Second hour - 150
Third hour - 75
Fourth hour - 37.5

Vonda works between 30 and 32 hours per week at a hair salon. she pays a one time $250 chair rental fee, and earns $40 per hour that she works. the hours she works are rounded to the nearest quarter hour. the function p(h)=40h−250 represents vonda's weekly pay as a function of hours worked. what is the practical domain of the function?

Answers

As a practical matter, the number of hours cannot be less than zero, nor more than 168. One can argue the upper limit on "practical" values of h, but it is unlikely that the number of hours will exceed 80. h might be zero if Vonda takes a vacation. (The problem statement tells you Vonda doesn't work more than 32 hours, so that may be the upper limit your answer book is looking for.)

h may possibly be in the interval [0, 80]

The practical domain of the function p(h) = 40h - 250 for Vonda's weekly pay is between 30 and 32 hours, inclusive, with increments of 0.25 hours. These values represent all the possible hours Vonda can work in a week.

To determine the practical domain of the function p(h) = 40h - 250, we need to consider the range of hours that Vonda works. The problem states that Vonda works between 30 and 32 hours per week, and her hours are rounded to the nearest quarter hour. Therefore, the possible values for h (in hours) are:

30.0030.2530.5030.7531.0031.2531.5031.7532.00

Hence, the practical domain of the function p(h) is all the values between 30 and 32, inclusive, measured in quarter-hour increments.

Dione has 3 rolls of pennies containing 50 coins each, 4 rolls of nickels containing 40 coins each, 5 rolls of dimes containing 50 coins each, and 6 rolls of quarters containing 40 coins each. How much money does she have?

A. $106.20
B. $17.50
C. $8.00
D. $94.50

Answers

the total number of pennies she has - 3 x 50 = 150
value of penny - $ 0.01 
value she has from pennies - $0.01 x 150  = $1.50

total number of nickels she has - 4 x40 = 160
value of nickel - $ 0.05
value she has from nickels - $0.05 x 160 = $8

total number of dimes she has  - 5 x 50 = 250
value of dime - $ 0.10
value she has from dimes - $0.10 x 250 = $25

total number of quarters she has - 6 x 40 = 240
value of quarter - $ 0.25 
value she has - $ 0.25 x 240 = $ 60 

total amount of money she has = 1.50 + 8 + 25 + 60 
 money she has = $ 94.50
correct answer is D

Can someone check my answer?

For y = x2 − 4x + 3,
Determine if the parabola opens up or down.
State if the vertex will be a maximum or minimum.
Find the vertex.
Find the x-intercepts.
Describe the graph of the equation.
Show all work and use complete sentences to receive full credit.,

Answers

The equation for a parabola is y = ax^2+ bx + c In this example, y = x^​2 - ​4​x + ​3 a = 1 b = -4 c = 3 Because "a" is a positive number, the parabola will open upwards and the vertex will be a minimum (at the bottom). To find the vertex, use x = -b/2a x = -(-4) / 2 (1) x = 4 / 2 x = 2 Then solve for y using x = 2 y = x^​2 - ​4​x + ​3 y = 2^2 - 4(2) + 3 y = 4 - 8 + 3 y = -1 Therefore the vertex (x,y) is at (2, -1) To find the x intercept, let y = 0 and solve for x. y = x^​2 - ​4​x + ​3 0 = x^​2 - ​4​x + ​3 0 - (x^2 - 4x + 3) = x^2 - 4x + 3 - (x^2 - 4x + 3) -x^2 + 4x - 3 = 0 Factor left side of equation: (-x + 1)(x - 3) = 0 Therefore -x + 1 = 0 or x - 3 = 0 x = 1 or x = 3 The x intercepts are (1,0) and (3,0).

Jana finished 1/4 of her homework at school and 2/3 of it before dinner. How much of her homework has she finished so far?

Answers

1/4+2/3
1/4×3/3+2/3×4/4
3/12+8/12
11/12

Final answer:

Jana has completed 11/12 or 11 out of 12 of her homework so far.

Explanation:

To find out how much of her homework Jana has finished so far, we need to add together the fractions of her homework completed at school and before dinner.

Jana finished 1/4 of her homework at school and 2/3 of it before dinner.

To add fractions, we need a common denominator. The least common multiple (LCM) of 4 and 3 is 12. So, we can convert both fractions to have a denominator of 12.

1/4 is equivalent to 3/12, and 2/3 is equivalent to 8/12.

Now, we can add the fractions: 3/12 + 8/12 = 11/12.

Therefore, Jana has completed 11/12 or 11 out of 12 of her homework so far.

Whole numbers are written on cards and then placed in a bag. Pilar selects a single card, writes down the number, and then places it back in the bag. She repeats this 46 times.

Pilar calculates the relative frequency of each number card.

Outcome 1 2 3 4 5
Relative Frequency 0.05 0.35 0.26 0.13 0.21
Which statement about Pilar's experiment is true?


The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.

The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.

Answers

Answer:

Option 1  

The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

Step-by-step explanation:

Given :

The outcomes are :             1         2         3        4        5

The Relative Frequency : 0.05   0.35   0.26   0.13    0.21

To find : Which statement about Pilar's experiment is true?

Solution :

We can see the outcomes do not appear to be equally likely.

Since 0.05 and 1 are not close in number range along with the other options.

So, The outcomes do not appear to be equally likely.

Uniform probability model - A model in which every outcome has equal probability.

But in given case, Probabilities in Pilar's experiment does not support a uniform probability model.

So, A uniform probability model is not a good model to represent probabilities in Pilar's experiment.

Therefore, Option 1 is correct.

The correct statement about Pilar's experiment is: A) The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

To determine whether a uniform probability model is appropriate, we need to assess if each outcome has the same likelihood of occurring. In a uniform probability model, if there are 'n' possible outcomes, each outcome has a probability of 1/n.

In Pilar's experiment, she selects a card 46 times, and we are given the relative frequencies of the outcomes 1 through 5. If the outcomes were equally likely, we would expect each number to have a relative frequency of approximately 1/5, since there are 5 different numbers.

Let's calculate the expected relative frequency for each number if the outcomes were equally likely:

Expected relative frequency for each number = 1/5 = 0.2.

Now, let's compare this with the given relative frequencies:

Number 1 has a relative frequency of 0.05 Number 2 has a relative frequency of 0.35 Number 3 has a relative frequency of 0.26 Number 4 has a relative frequency of 0.13 Number 5 has a relative frequency of 0.21

These relative frequencies are not close to the expected relative frequency of 0.20 for a uniform distribution. Since the relative frequencies vary significantly from one another, the outcomes do not appear to be equally likely. Therefore, a uniform probability model, which assumes equal likelihood for all outcomes, would not be a good fit for Pilar's experiment.

Hence, the correct conclusion is that the outcomes do not appear to be equally likely, and thus a uniform probability model is not suitable for representing the probabilities in Pilar's experiment.

The complete question is Whole numbers are written on cards and then placed in a bag. Pilar selects a single card, writes down the number, and then places it back in the bag. She repeats this 46 times.

Pilar calculates the relative frequency of each number card.

Outcome 1 2 3 4 5

Relative Frequency 0.05 0.35 0.26 0.13 0.21

Which statement about Pilar's experiment is true?

A) The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

B) The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

C) The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.

D) The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.

What is the value of the missing number in the sequence below? 4, 12, 36,___, 324, 972, 2916

Answers

The sequence increases by multiplying the previous number by 3. 4*3=12 12*3=36 36*3=108 and so on. The missing number is 108

The missing number will be 108. The sequence is; 4, 12, 36,108, 324, 972, 2916.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The given sequence is;

4, 12, 36,108, 324, 972, 2916

It is observed from the sequence that the following sequence follow a specific rule in which the progressive term is multiplied by a factor of 3.

[tex]\rm 4 \times 3 = 12 \\\\ 12 \times 3 = 36 \\\\ 36 \times 3 =108[/tex]

Hence, the missing number will be 108.

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One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the boundary within which motion can be sensed.

What is the greatest distance, in feet, a person could be from the parking lot light and be detected?

Answers

We are given an equation:
[tex] (x+10)^{2} + (y-8)^{2} = 16[/tex]

This is an equation of a circle. General form of a circle equation is:
[tex] (x-a)^{2} + (y-b)^{2} = r^{2} [/tex]
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
[tex]r^{2} =16 \\ r=4[/tex]
The greatest distance at which person can be detected is 4ft.
Yes the correct answer is 4ft
because the radius of that circle is  4 
(x+10)^2+(y−8)^2=4^2
Thanks Rodiak

A $6,300.00 principal earns 6% interest, compounded annually. After 3 years, what is the balance in the account?

Answers

7,503

Hope this helped!
Hello, 

To find this answer, you have to start with 6,300 and multiply it by 1.06 three times. We are using 1.06 because we are adding 6% (0.06) onto the total 3 times.

6300 x 1.06 x 1.06 x 1.06 = $7,503.40
OR
6300(1.06)^3 = $7,503.40

The second equation is written as a compound interest equation. You just need to switch the 3 if you want to find the total for a different amount of years.

I hope this helps, Good luck!

A wood frame costs $1.50. Use a property to write an equivalent expression for the cost of a wood frame.

Answers

Let the width of the frame = x
Let the cost of a linear foot of the frame = y
Let the inside dimension of the length of the frame = a
Let the inside dimension of the width of the frame = b.

The total length of the frame = 2*a + 4x
The total width of the frame = 2b

The total amount of the frame in feet is (2a + 4x + 2b)*y = Cost
If this is incorrect please leave a message on my home page.

Hey can somebody help me? I know it seems easy but I forgot the process on how to do this. Thanks in advance!
---------------------------------
1 1/2 - 1/2 = ???

Show your work please so I understand

Answers

Since we can break down 1 1/2 into 1 + 1/2, and we know that 1/2 - 1/2 = 0, we can just add one. So, the answer is 1.

Sorry if this was a bit unclear, I did my best to explain ;)

Hope this helps!

What is the image of the point (4,-2) after a rotation 270 degree clockwise about the origin?

Answers

The equivalent 90° CCW rotation maps (x, y) to (-y, x).
(4, -2) becomes (2, 4) after rotation.

Answer:

The image of the point (4, -2) is (2, 4).

Step-by-step explanation:

Since, the rule of rotation 270 degree clockwise about the origin is,

[tex](x,y)\rightarrow (-y,x)[/tex]

Where, (-y,x) is the image of the point (x,y),

Thus, by the above rule,

[tex](4,-2)\rightarrow (-(-2), 4)[/tex]

Hence, the image of the point (4, -2) is (2, 4).

Please help me, i don't understand how to do this.
Solve V = 1 3 πr2h for h.
A) 3V πr2
B) V 3πr2
C) r sqrt 3V π
D) V - 1/3 πr2

Answers

1/3 *(πr2h) = v πr2h/3 = 3


so h = 3v/πr2

CAN SOME ONE HELP ME WITH THIS HURRY PLEASE

Answers

7) x= men
x+6= women

x + (x+6)= 30
2x + 6= 30
2x= 24
x= 12
x+6= 18

8) x= first integer
x+1= second integer
x+2= third integer

x + (x+1) + (x+2)= 153
3x + 3= 153
3x= 150
x= 50

Second integer
= x+1
= x+50
= 51

9) x= first integer
x+2= second integer
x+4= third integer

x + (x+2) + (x+4)= 54
3x + 6= 54
3x= 48
x= 16

x + (x+2)= 34
16 + 16 + 2= 34
34=34

10) rate= 356 km/hr
distance= 1424 km

Distance= rate * time
D= rt
1424= 356 * t
divide both sides by 356
4 hrs= t


ANSWERS:
7) 18 (B - second choice down)
8) 51 (B - second choice down)
9) 16 (D - fourth choice down)
10) 4 (B- second choice down)

Hope this helps! :)
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