Which of the following is equivalent to?

Which Of The Following Is Equivalent To?

Answers

Answer 1

Answer:

\(5 \sqrt{ {13}^{3} } = {13}^{ \frac{3}{5} } \)


Related Questions

Extreme usage of stimulants can lead to ___
A) convulsions
B) coma
C) circulatory collapse
D) all of the above

Answers

Answer:

i think option B is right

8n-13=13-8n can you please answer with steps

Answers

Hello! Your answer is n=1.625 or 13/8. I have attached the work shown for you!
8n-13=13-8n can you please answer with steps
Add 13 to both sides
8n=13 - 8n + 13

Simplify 13 - 8n + 13 to -8n + 26
8n = -8n + 26

Add 8n to both sides
8n + 8n = 26

Simplify 8n + 8n to 16n
16n = 26

Divide both sides by 16
n = 26/26

Simplify 26/16 to 13/8
n = 13/8

Answer is: n = 13/8

DUE IN AN HOUR HELP!!!!

DUE IN AN HOUR HELP!!!!

Answers

Answer:

D. x=4

Step-by-step explanation:

32. m<1=m<2 ==> angle bisectors divide an angle into two equal angles

m<2=m<RQP

m<1=m<SQP

m<RQP+m<SQP=m<SQR

m<2+m<1=m<SQR

m<2+m<2=m<SQR

(2+7x)+(2+7x)=16x-4

2+7x+2+7x=16x-4

2+2+7x+7x=16x-4

4+14x=16x-4

4-4+14x=16x-4+4

4+4+14x=16x-4+4

14x+8=16x

14x-14x+8=16x-14x

8=2x

x=8/2

x=4 ==> D

All girls are the same
They're rotting my brain
Think I need a change
Before I go insane
10 minutes she told me it would Take 10 minutes
To break my heart oh no you didn't
F living imma drown in my sorrow
F giving imma take not borrow​

Answers

Answer:

Step-by-step explanation:

you ok bud? dont be sad its ok :D

And I’m still stinn i’m still losing my mind I’m Trippin I thought no I’m wasting my time all the time given in my dyin? Am I livin?

What is the slope of y = 1/5x - 3

Answers

Answer:

ITS 15 THANK ME LATER!!!!

Step-by-step explanation:

Answer:

M = 1/5

Step-by-step explanation:

ASAP DUE IN 1MIN!!! Will give brainiest
Evaluate the expression for x = 3, y=13 , and z = 5.

12x−3y4x−z

]

Answers

Answer:

12x + (-3y) + 4x + (-z)

12 (3) + -3 (13) + 4 (3 ) + (-5)

36 + -39 + 12 + (-5)

36 + 12 -39 - 5

48 - 44

4 is 5

Step-by-step explanation:

Answer: -437

Step-by-step explanation:

Given x = 3, y = 13 and z = 5 solve for 12x - 3y4x - z.

Plug in the values given for each variable and solve.

12(3) - 3(13)4(3) - (5)

36 - 39(12) - (5)

36 - 468 - 5 = -437.

The solution to the expression is -437.

Please help me with this.

Please help me with this.

Answers

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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what is the estamate of 25x1/2

Answers

Answer: 12.5

Step-by-step explanation:

1/2 of 25 is 12.5 since when added together they create 25

Solve for x pleaseeee fast

Solve for x pleaseeee fast

Answers

Answer:

x = 76

Step-by-step explanation:

-4( x - 26 ) = -200

-4x + 104 = -200

-4x = -304

x = 76

Hopefully this helps!

Brainliest please?

the value of x is 76

\( - 4(x - 26) = - 200\)

\( - 4x + 104 = - 200\)

\(104 + 200 = 4x\)

\(304 = 4x\)

\( \frac{304}{4} = x\)

\(x = 76\)

I’m need help with the question in general.

Im need help with the question in general.

Answers

Answer:

I Cant  See

Step-by-step explanation:

NEED HELP AND HOW U GOT THE ANSWER PLEASE find the measure of the angle greater than BXC using the figure below

NEED HELP AND HOW U GOT THE ANSWER PLEASE find the measure of the angle greater than BXC using the figure

Answers

Answer:

  m∠BXC = 30°

Step-by-step explanation:

The symbol ∠ means "angle", so "angle ∠BXC" is actually redundant. The "greater than" symbol is "<", which sometimes is used when the proper angle symbol is not available.

Here, the question is simply asking for the measure of angle BXC.

Ray BX crosses the outer, inner scales of the protractor at 40, 140. Ray CX crosses those scales at 70, 110. The measure of angle BXC in degrees is the difference between the numbers on the same scale:

  70 -40 = 30 . . . using outer scale numbers

  140 -110 = 30 . . . using inner scale numbers

The measure of angle BXC is 30°.

What is the mode of the data represented in this line plot?

Enter your answer in the box.

A line plot. The number line ranges from 0 to 6. There are 2 xs above the 1. There are 5 xs above the 2. There are 3 xs above the 3. There are 4 xs above the 4. There are 2 xs above the 5.

Answers

Answer:

  2

Step-by-step explanation:

You want to know the mode of a dot plot that could be represented as ...

  1 | x x

  2 | x x x x x

  3 | x x x

  4 | x x x x

  5 | x x

Mode

The mode is the data element that appears most often in the data set.

The 5 xs above the 2 is the largest number of xs that appear anywhere, so 2 is the mode.

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q-2p=p+4 make p the subject

Answers

P=q-4/3 is the answer

A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?

Answers

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

what is the perpendicular and parallel lines of y= -2 -4x

Answers

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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Use the following rules to graph and by label the ordered pairs on a coordinate grid with at least 4 points on the coordinate plane:



1. Maddy wrote a pattern for the
x coordinates starting at 3 and followed the rule “add 2.”



2. Ted wrote a pattern for all the y coordinates starting at 0 and followed the rule “add 4.”

Use the following rules to graph and by label the ordered pairs on a coordinate grid with at least 4

Answers

Maddy's rule for obtaining the x-coordinate values and Ted's rule for

obtaining the y-coordinate values combine to form a linear graph.

Reasons:

Please find attached the graph with labelled ordered pairs created by Maddy's and Ted's rules.Method by which the graph is formed

The given rules used to graph the equations are;

Maddy's rule  for the x-coordinate values = x + 2, where, x ≥ 3

Ted's rule for the y-coordinate values = y + 4, where, y ≥ 0

Therefore, the following table of values can be generated;

\(\begin{tabular}{|c|c|}x&y\\3&0\\5&4\\7&8\\9&12\\11&16\end{array}\right]\)

The first difference of the y-values is constant and the difference in the x-

values is also a constant, therefore, the data represents a linear function

and the graph is also linear.

Using the above table of values obtained from Maddy's and Ted's rules, the

graph of the ordered pair can be plotted by entering the values in MS

Excel spread sheet and using the insert Scatter plot function.

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Use the following rules to graph and by label the ordered pairs on a coordinate grid with at least 4

PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.

PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What

Answers

The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

Calculating the area of the composite figure

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

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Geometry help please

Geometry help please

Answers

Given

A right angle triangle is removed from the rectangle to create the shaded region.

That is,

To find: The area of the shaded region.

Explanation:

It is given that,

That implies,

The area of the shaded region is,

\(\begin{gathered} Area\text{ }of\text{ }the\text{ }shaded\text{ }region=Area\text{ }of\text{ }the\text{ }rectangle-Area\text{ }of\text{ }the\text{ }triangle \\ =l\times b-\frac{1}{2}\times b\times h \\ =5\times9-\frac{1}{2}\times4\times3 \\ =45-6 \\ =39ft^2 \end{gathered}\)

Hence, the area of the shaded region is 39ft^2.

Geometry help please
Geometry help please


Graph system of inequalities
Y>|2/3x-3
Y>|-4/3x+3


Answers

The Graphs are in attachment !

1st graph is for equation :

\(y > \dfrac{2}{ 3}x - 3\)

2nd graph is for equation :

\(y > - \dfrac{4}{3} x + 3\)

Graph system of inequalities Y&gt;|2/3x-3Y&gt;|-4/3x+3
Graph system of inequalities Y&gt;|2/3x-3Y&gt;|-4/3x+3

Given system of inequalities:-

\(y = \frac{2}{3}x - 3\)

and

\(y = \frac{ - 4}{3}x + 3\)

So, the graph for the given system of inequalities is attached along with this answer.

Please refer the attachment for the graph.

✍️ By Benjemin ☺️

Graph system of inequalities Y&gt;|2/3x-3Y&gt;|-4/3x+3

Which shows one way to determine the factors of x³ + 5x² - 6x - 30 by grouping?
Ox(x²-5) + 6(x² - 5)
Ox(x²+5)-6(x²+ 5)
O x²(x - 5) + 6(x - 5)
O x²(x+5)-6(x+ 5)

Answers

Answer:

x^2(x+5)-6(x+5)!!!!!!!!

state , giving reasons, which of the following if meaningless:
a. (-12, 0 ]
b. ( 1, -13 ]


Answers

Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

What is intervals?

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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James shares 5/8 of a cake between 6 people.
What fraction of the cake do they each receive?

Answers

Answer:

5/48

Step-by-step explanation:

The fraction of people getting cake will be 1/6 of 5/8 thus it will be 5/48.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

James shares 5/8 of a cake between 6 people.

Now, 1/6 of 5/8 will be as,

1/6(5/8) = 5/48

Hence "The fraction of people getting cake will be 1/6 of 5/8 thus it will be 5/48".

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please help. thank you.

please help. thank you.

Answers

Answer: 150(1 + 4) 16

Step-by-step explanation: 4 goes in the first box and 16 goes in the little one.

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A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in

20.4 days
22.5 days
25.6 days
30.1 days

Answers

**22.5 days is the answer*

Let's assume that B can do the job alone in x days.

Then, according to the question, A can do the same job alone in (1/3)x days.

Also, we know that A takes 60 days less than B to finish the job, so:

(1/3)x = x - 60

Solving for x, we get:

x = 90

Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.

To find out how long they take to finish the job together, we use the formula:

(AB)/ (A+B)

where AB is the product of their individual times and A+B is their combined time.

Plugging in the values, we get:

(30 * 90)/(30+90) = 22.5

Therefore, working together, they can finish the job in 22.5 days.

Answer: Option B - 22.5 days

Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth

Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth

Answers

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

What is the volume of the given cylinder?

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 263 cars owned by students had an average age of 7.25 years. A sample of 291 cars owned by faculty had an average age of 7.12 years. Assume that the population standard deviation for cars owned by students is 3.77 years, while the population standard deviation for cars owned by faculty is 2.99 years. Determine the 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 1 of 3: Find the point estimate for the true difference between the population means.

Answers

Answer:

The point estimate for the true difference between the population means is 0.13.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Step-by-step explanation:

To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.

This means that:

\(\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325\)

A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.

This means that:

\(\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753\)

Difference between the true mean ages for cars owned by students and faculty.

Distribution s - f. So

\(\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13\)

This is also the point estimate for the true difference between the population means.

\(s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912\)

90% confidence interval for the difference:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

Now, find the margin of error M as such

\(M = zs = 1.645*0.2912 = 0.48\)

The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years

The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

If f(x) = 7x+ 8, find f'(x).

Answers

Answer:

f'(x) = 7

Step-by-step explanation:

This is a basic derivative problem. The first derivative of f(x) would multiply the 7 by the power of x (which is one) and get rid of the 8. So, all you have left is 7 times 1 and your answer would be 7.

Answer:

x=-8/7 or -1.1428

Step-by-step explanation:

The roots (zeros) are the x

values where the graph intersects the x-axis. To find the roots (zeros), replace f(x) with 0 and solve for x

On its own, 5 � � 5ab5, a, b is the product of

Answers

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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use these grids and, in each case, find the number of paths from a to b, traveling along grid lines. at any given intersection, you may proceed only to the right (r) or down (d). (hint: a path is a sequence of r's and d's.)

Answers

Use the multinomial rule, the possible number of paths from A to B is m! n1! ×n2!

How do you find the number of paths on a grid?

To generalize our formula for any NxN grid, we can write: Incidentally, there is an easier way to write this: the number D = N! / (K! * (N-K)!) is also called the binomial coefficient and we can write (N choose K).

You may create a table by combining several question kinds using the grid question type. This implies that you could, for instance, create a grid that included both a multiple-choice question and a free-text inquiry.

A map's grid is a pattern made up of both horizontal and vertical straight lines. They cross one another to create a group of squares. On a map, grids aid in location finding. At the top, there are numbered gaps between the horizontal (side-to-side) lines.

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Divide (x3 - 2x² + 6x - 8) by (x - 2)
-
How can I (x3 - 2x² + 6x - 8) by (x - 2)

Answers

Answer:

  x^2 +6 +(4/(x -2))

Step-by-step explanation:

Polynomial long division works for this. The operations are performed in much the same way as for numerical long division.

Divide (x3 - 2x + 6x - 8) by (x - 2)-How can I (x3 - 2x + 6x - 8) by (x - 2)
Other Questions
"How much can be paid in scholarships at the end of each year if$150,000 is deposited in a trust fund and interest is 4.5%compounded annually? team members at drop-off should be working out of which queue to address prescriptions needing action? Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack cans fit exactly on top of each other in the cooler bag. A can has a diameter of 6 cm and a height of 8,84 cm 0:41 EZ07/67/90 dy the information given in the information above and answer the questions that follow. 2.1 2.2 2.3 2.4 Calculate the volume in ml of one can of cold drink, rounded to the nearest whole number. Determine the height of the cooler bag, rounded to the nearest whole number. Determine the volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm. Each can have a label on them as shown by the image below Piesse Circumference of the can NEW Diet, Soda 0 Calories! Calculate the length of the lable. CALORIES PER SERVING Nutrition Fac Hight of the can (3) (2) (3) (2) 27 [10] NO LINKS!!! NOT MULTIPLE CHOICE!!9. a Finish the table b. Name the type of sequence c. Find the equation of the sequence place in order, from beginning to end, the steps to calculate the mean absolute deviation what is the average length of the esophagus in the average sized horse? You have a 1 in 4 chance of winning a game. How would you calculate the probability that you will win 3 times in a row?A\frac{1}{4}41 B3 \cdot \frac{1}{4}341 C\frac{1}{4}+\frac{1}{4}+\frac{1}{4}41 +41 +41 D\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4}41 41 41 6.1 divided by 8 using compatible numbersDivided 6.1 and 8 using COMPATIBLE NUMBERS Solve the system by graphing and write your answer as an ordered pair . y=3x-4 . y=-1/2x+3 HURRY PLEASEE!!!!Which statement best explains the outcome of Roe v. Wade?1.Women gained the right to end pregnancies, while states lost the right to restrict abortions.2.Women lost the right to end pregnancies, while states gained the right to outlaw abortions.3.Women gained the right to end pregnancies, while states gained the right to restrict abortions.4.Women gained the right to end pregnancies, while federal laws replaced state restrictions on abortions. how do you solve this? Andre had lots of Halloween candy. He ate the same amount of candy each day. After 10 days he had 115 pieces. After 18 days he had 43 pieces. How many will he have after 22 days? Last week, Tracy walked her dog 2 2/5 miles. Maria walkedher dog 3 times as far. How many total miles did both girlswalk their dogs? true or false? the person experiencing abdominal pain should be given small amounts of milk to coat the stomach. Find yof y=cotx6x+5 Sarah was sitting in a seat at a baseball game when another ticket holder showed her she was in the wrong seat. The other ticket holder kindly told Sarah she needed to go 5 rows down and 3 seats to the right. Which rule describes the translation needed to put Sarah in the correct seat? Which of these are equal to 2100???3^33^73^103^25 capital budgeting is probably the most important of the three key areas of concern to the financial manager because blank .multiple choice question.it's the least understoodit's the most difficultit's the most controversialit defines the business of the firm you have a portfolio which is comprised of 60% of stock a and 40% of stock b. what is the expected rate of return on this portfolio? state prob a b boom .20 15 % 9 % normal .80 8 % 20 % multiple choice 12.76% 12.88% 13.44% 13.56% 13.85% arnold cannot sexual intercourse unless he is tied up by his partner and beaten. his behavior is typical of