Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?

three-twelfths pounds
eleven-twelfths pounds
one and two-twelfths pounds
one and seven-twelfths pounds

Answers

Answer 1

The pounds of chocolate chips that were left is B. eleven-twelfths pounds

How to calculate the fraction?

Given that Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins

The fraction left will be:

= Total pounds bought - The amount used

= 7 1/2 - (3 3/4 + 2 5/6)

= 7 1/2 - (3 9/12 + 2 10/12)

= 7 1/2 - 6 7/12

= 11/12

In conclusion, the correct option is B.

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Related Questions

Simplify to a single power of 4:
(44) 5

Answers

Answer:

4²0=4×5=20=4²0 арлатат

please help me with this​

Answers

The inequality shown on the number line is -3 < x ≤ 2

Inequality means when the two values that are not equal is defined by inequalities. Inequality means unequal.

When two values are not equal we will greater than or less than sign .

" < " means less than

" >" means greater than

"≤ " means less than and equal to

"≥ " means greater than and equal to

(a) Inequality -4 < n ≤ 5

here , -4 is not included so, the Number line starts from -3

5 is included so, number line will end on 5

(b) The number line shows ,

line is starting from -3 but the dot is not filled means it is not included

The line ends at 2 so,

Inequality is -3 < n ≤ 2

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Estimate a 25% tip on a bill of 68.37$ by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

20 dollar tip (rounded) assuming the bill is 68.37

Step-by-step explanation:

just multiply 68.37 by 0.25, and you get 17.09 or 20 dollars rounded to TENS place.

Which of the following people likely pays the LEAST for health care?
a. Tanya, who has a Bronze level plan and goes to the doctor for an annual exam once all year
b. Alfred, who has a Bronze level plan and uses it for a few doctor appointments, an X-ray, and to fill
monthly prescriptions
c.
Marty, who does not sign up for health insurance and then has a 4-week hospital stay because he gets
pneumonia
d. Caroline, who has a Silver level plan and uses it frequently in the year, because she's pregnant and due
have a baby

Answers

I would say D because having a baby is not cheap so doctor appointments will be expensive and then when she has the baby it’ll be more

Tanya, who has a Bronze level plan and only goes to the doctor once a year for an annual exam, is likely to pay the least for healthcare. The correct option is A.

What is health care?

Health care refers to the maintenance or improvement of an individual's physical or mental health through the prevention, diagnosis, and treatment of illness, injury, or disease. It encompasses a range of services provided by healthcare professionals.

Based on the information provided, Tanya, who has a Bronze level plan and only goes to the doctor once a year for an annual exam, is likely to pay the least for healthcare.

Bronze level plans typically have lower monthly premiums but higher out-of-pocket costs for healthcare services, such as copays, deductibles, and coinsurance.

Since Tanya only goes to the doctor once a year, she is unlikely to meet her deductible or incur significant out-of-pocket costs.

In contrast, options B, C, and D involve more frequent or more serious healthcare needs, which would likely result in higher out-of-pocket costs for healthcare services.

Thus, the correct option is A.

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25 POINTS!! ANSWER FOR BRAINLIST AND SHOW WORK!!!

Answers

Answer:

See attached "Image 2" for graph

3 points that are in the system

[tex](6,1)\\(8,-2)\\(7,5)[/tex]

3 points that are not in the system:

[tex](0,0)\\(-2,-6)\\(-8,4)[/tex]

Step-by-step explanation:

Start by writing the equation in slope-intercept form so they can be graphed.

[tex]\left \{ {{y+5 < 2x} \atop {3y\geq -2x+6}} \right. \\\\\left \{ {{y < 2x-5} \atop {y\geq -\frac{2}{3} x+2}} \right. \\\\[/tex]

Now, graph just the lines - LIGHTLY- on the coordinate plane. See the first attached image.

Now, you can shade the correct areas. In the first equation y is LESS THAN the function, so you would shade BELOW the line, and draw the line as a dashed line, not a solid line. This is because y is not EQUAL to the function.

In the second equation y is GREATER than or EQUAL to the function, so draw the line as a solid line and you would SHADE above the line.

In a system of inequalities, the correct area to shade is where the two shaded areas overlap. See the attached image 2 to see how that looks.

Some points that are in the system of inequalities are:

[tex](6,1)\\(8,-2)\\(7,5)[/tex]

These points are NOT in the system:

[tex](0,0)\\(-2,-6)\\(-8,4)[/tex]

What is the length of AB
14
51
28
20

Answers

Answer:

51

Step-by-step explanation:

The segments are indicated to be congruent.

[tex]3x+9=5x-19 \\ \\ 9=2x-19 \\ \\ 2x=28 \\ \\ x=14 \\ \\ \implies AB=3(14)+9=51[/tex]

Answer: 51Step-by-step explanation:

3x + 9 = 5x - 19

+ 19           + 19

3x +28 = 5x

- 3x            -3x

28 = 2x

÷2     ÷2

14 = x

3x + 9

= 3(14) + 9

= 42 + 9

= 51

prime factorization for gcf and lcm for 25 and 60.

Answers

The gcf of 25 and 60 is 5

the lcm of 25 and 60 is 300

What is prime factorization?

The process of determining which prime numbers combine to form the original number is known as prime factorization.

Prime factorization of 25 = 5 * 5

Prime factorization of 60 = 2 × 2 × 3 × 5

the greatest common factor, gcf of 25 and 60 is 5

The lowest common multiple, lcm of 25 and 60

= 2 * 2 * 3 * 5 * 5

= 300

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Factor the expression in the image please

Answers

To factorize this,the answer is [tex]\frac{1}{3} x^{4} y^{2} (\frac{1}{4} y^{} -\frac{1}{3} x)[/tex]

What is Factorization?

Factorization is when you break a number down into smaller numbers that, when multiplied together, give you that original number.

The expression above can only be determined by looking at the common factors and using it to answer the question. [tex]\frac{1}{12} x^{4}y^{3} -\frac{1}{9}x^{5}y^{2}[/tex]

To factorize the fractions by looking at the common factor between the both[tex]\frac{1}{3} (\frac{1}{4} -\frac{1}{3} )[/tex]To factorize the indices by looking at the common factor[tex]x^{4}y^{2} (y-x)[/tex]

So, to factorize the expression above[tex]\frac{1}{3} x^{4} y^{2}(\frac{1}{4} y-\frac{1}{3} x)[/tex]

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SOLVES FOR 50 POINTS AND BARINLISTEST

Answers

Answer:

(-2, 3 1/3)

2nd one

Step-by-step explanation:

2/3*-3=-2 so x=-2

2/3*5=10/3= 3 1/3 so y= 3 1/3

(-2, 3 1/3)

Choose the expression that is equivalent to 1/4 x 12

Answers

Answer:

4%12

Step-by-step explanation:

Its 12 divide 4
As 1/ 4 x 12 = 1/ 4 x 12/ 1
= 12/ 4

And since 12 divide 4 can be represented as 12/ 4...... Then the answer is 12 divide 4

pls help!

Simplify the expression to a + bi form:
√4 + √−45 + √49 + √−45

Answers

Answer: 9+6i√5

Step-by-step explanation:

√4 + √−45 + √49 + √−45

2 + √45i + 7 + √45i

9 + 3i√5 + 3i√5

9+6i√5

determine if the following orders pairs

Answers

The given ordered pair (x, y) represents a linear function

Consider first point (-1, -3) and (0, -1)

The slope of the line is the change in y coordinate with respect to the change in x coordinate of the line.

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in the equation

The slope of the line = (-1-(-3)) / (0 -(-1)

= (-1+3) / 1

= 2

Consider the next set of points (1, 1)  and (2, 3)
The slope of the line = (3-1) / (2-1)

= 2

Here slope of the line is same, therefore it is linear function

Hence, the given ordered pair (x, y) represents a linear function

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Determine whether each number is an integer, a rational number that is not an integral or an irrational number

Answers

The integers are  3√25, -185/5, rational = -1/4, 0.75, 3√25, -185/5, 4√8, irrational = √13,

An integer is the number zero (0), a positive natural number (1, 2, 3, etc.) or a negative integer with a minus sign.

A rational number is any number that can be written as a fraction, where both the numerator na demoninator that is the top and the bottom number  are integers, and the denominator is cannot be zero

An irrational number is a type of real number which cannot be represented as a simple fraction.

A integer can always be a rational number but vice versa is not true.

Integer = 3√25 = 3x5 = 15

-185/5 = -37

rational = -1/4, 0.75, 3√25, -185/5, 4√8

irrational = √13,

Therefore, the integers are  3√25, -185/5, rational = -1/4, 0.75, 3√25, -185/5, 4√8, irrational = √13,

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George wrote an integer. The opposite of George’s integer is -53. Which of these statements about George’s integer must be true?


I. The integer is 53.

II. The integer has an absolute value of -53.

III. The integer is -53.

IV. The integer has an absolute value of 53.

Answer

A

I and II

B

II and IV

C

II and III

D

I and IV NEED EXPLAINATION PLS

Answers

The George's integer must be true for option D)I and IV.

What is integer?

 A full number (not a fraction) that can be positive, negative, or zero is called an integer . -5, 1, 5, 8, 97, and 3, 043 are some examples of integers. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers. Integer, which means full or whole in Latin, is the root of the English term integer. A particular category of numbers called integers includes zero, positive numbers, and negative numbers. All whole numbers, both negative and positive, and 0 are considered integers.

Here the opposite of George integer is -53.

We know that opposite value of x is -x.

Then George integer is 53.

George integer must be true for The given options I. the integer is 53 and IV.The integer has absolute value of 53.

Therefore the correct option is  D) I and IV.

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Bill started west on road u. S. 50, riding a bicycle at an average rate of 9 mph. Four hours later charles started after bill on a motor cycle and overtook him in 2 hours. What was charles' rate? which equation could be used to solve for charles' rate if it is represented by x? 6 x = 54 2 x = 54 2 x = 36.

Answers

The equation could be used to solve for charles' rate if it is represented by x is 2x=54.

In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.

Bill riding a bicycle at an average rate of 9 mph.

Charles' rate is x.

So the relative rate = x−9 mph

Distance traveled by Bill in 4 hours = 9*4 =36 mph

Charles' overtook Bill in 2 hours. So

Relative Rate = Distance/Time

x−9=36/2

Multiply by 2 on both side. We get

2(x−9)=36

Simplifying

2x−18=36

Add 18 on both side, we get

2x=36+18

2x=54

Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.

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Which expression represents the phrase? “The product of 8 and the quotient of 6 and and w.”

Answers

Answer:

B

Step-by-step explanation:

product means multiplication and quotient is division , then

product of 8 and the quotient of 6 and w is

8 ([tex]\frac{6}{w}[/tex] )

B.
8 (6/w) is the answer.

Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Madeline's account went into overdraft. To get back to a positive balance, she deposited mone at a steady rate of $29.06 per week. After 8 weeks, she had $190.69 in the account. What was the balance when the account went into overdraft?​

Answers

Answer:

-41.79

Madeline was overdrawn $41.79.

Step-by-step explanation:

If she deposited $29.06 a week for 8 weeks, she put

8 × 29.06

= 232.48

$232.48 into her account. But they're saying she now has only $190.69. Some of the money went to payback the negative balance she had.

Balance+232.48=190.69

Balance=190.69-232.48

Balance = -41.79

Madeline had a negative balance of $41.79.

It costs $0.75 each to make color copies at a copy
center. At this price, how many copies can be purchased with $60.00?

Answers

Answer: 80 copies can be purchased with $60.00.

Step-by-step explanation:

If it costs $0.75 for each color copy, then you would have to divide $60.00 by $0.75, which equals 80 copies.

Write an equation in point-slope form that passes through (-4, -6) and is parallel to y= -7/2x+6. I'm stuck, please help.

Answers

Answer:

y= -7/2x-20

Step-by-step explanation:

parallel line so same slope

the equation given is in y=mx+b form so take out m:

m= -7/2

now input the coordinates and slope(m) given into y=mx+b to find b:

-6=-7/2(-4)+b

-6=28/2+b

-6=14+b

-6-14=b

b=-20

now write equation using slope(m) and y intercept(b)

y= -7/2x-20

Please mark as brainliesttt

The equation in point-slope pass through the given point will be y = -7/2x-20

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

The same slope due to a parallel line,

Take away m from the above equation since it is in the y = mx+b form:

m= -7/2

Now, enter the given coordinates and slope(m) into y=mx+b to determine b:

-6 =-7/2 (-4) + b

-6 = 28/2 + b

-6 = 14 + b

b = -20

Slope(m) and y-intercept are now used to create an equation (b),

y = -7/2x-20

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need help with this one

Answers

Number of solutions for the given linear quadratic equation y = x² and

y = 2x+ b is equal to 2.

b. As we change the value of b solution of the linear system of equation get modify. For example b = 0 it passes through origin.

As given in the question,

Given linear quadratic equations are:

y = x² and

y = 2x+ b

⇒ x² = 2x + b

⇒ x² -2x -b = 0

Number of solutions depends on :

Discriminant 'D'  = b² -4ac

Here a = 1 , b = -2 , c= -b

D = (-2)² - 4(1)(-b)

  = 4 + 4b

If D > 0 there are two real solutions.

If D = 0 there is only one solution.

If D < 0 there is no solution.

Value of D depends on the value of 'b' .

Linear quadratic equation has two solutions if D > 0.

Graph is attached for the given quadratic equations.

Therefore, number of solutions for the given linear quadratic equation y = x² and y = 2x+ b is equal to 2.

b. As we change the value of b solution of the linear system of equation get modify. For example b = 0 it passes through origin.

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For his phone service, Alonzo pays a monthly fee of $17, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is $115.56. What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m .

Answers

Answer:

at least 1,408 minutes

Step-by-step explanation:

Let m be the number of minutes.

[tex]17 + .07m \geqslant 115.56[/tex]

[tex].07m \geqslant 98.56[/tex]

[tex]m \geqslant 1408[/tex]

A coffee table is on sale for 20% off tej original price of $115.If there is a 7.5% sales tax, what is the final price of the coffee table

Answers

Answer:

$85.10

Step-by-step explanation:

115 * .20 = 23

115 - 23 = 92

92 * 0.075 = 6.9

92 - 6.9 + 85.10

The community center has a pottery class each month each student pays $15 for the class and $27 for materials this month the pottery class brought in a total of $715 how many students are in the class the month?

Answers

Answer:17

Step-by-step explanation:

The volume of a rectangular prism is represented by the function x3 9x2 6x − 16. the length of the box is x 2, while the height is x 8. find the expression representing the width of the box. x − 4 x − 1 x 1 x 4

Answers

The expression that represents the width of the box is (x - 1) , the correct option is (b) .

In the question ,

it is given that ,

the Volume of the rectangular prism is = x³ + 9x² + 6x – 16

the measure of the length of the box = x+2

the measure of the height of the box = x+8

formula for Volume of Prism is

Volume = l × w × h

where l = length of the prism,

w = width of the prism and

h = height of the prism.

Substituting the values ,

we get ,

x³ [tex]+[/tex] 9x² [tex]+[/tex] 6x – 16 [tex]=[/tex] (x [tex]+[/tex] 2) * (x [tex]+[/tex] 8) * width

On dividing the equation  (x³ + 9x² + 6x – 16) with (x+2)

and then dividing the result with (x+8) , we get

width = (x-1) .

Therefore , The expression that represents the width of the box is (x - 1) , the correct option is (b) .

The given question is incomplete , the complete question is

The volume of a rectangular prism is represented by the function x³ + 9x² + 6x – 16. The length of the box is x + 2 while the height is x + 8. Find the expression representing the width of the box

(a) x - 4

(b) x - 1

(c) x + 1

(d) x + 4

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Answer:

B

Step-by-step explanation:

Asked my teacher to help me.

please help me!!!!!!!!!!1

Answers

The value of x for the given equation is -20 .

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

(5/3)x+(1/3)x=13(1/3)+(8/3)x

Solve equation, to find the value of x,

(5/3+1/3)x=13(1/3)+(8/3)x

-13(1/3)=(8/3)x-(5/3+1/3)x

-40/3=(8/3-2)x

1.(-40/3)=1.(2/3)x

-20=x

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graph the system of inequalities shown i need this quick
x>1
y>x

Answers

Answer:

Graph

Step-by-step explanation:

graph the line x=1 (vertical line passing through point (1,0))with a dotted line and shade everything to the right of the line. Then graph the line y=x (line with slope 1 passing through origin) with a dotted line, shading everything above the line.

8.54÷0.35= what the answer

Answers

The required solution is 24.4 to the given numerical expression 8.54 ÷ 0.35.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

The numerical expression is given in the question as:

8.54 ÷ 0.35

We have to determine the solution to the given expression

As per the question,

8.54 ÷ 0.35

8.54 / 0.35

(854/100) / (35/100)

Reciprocal the terms of numerator

854/100 × 100/35

854/35

Apply the division operation to get the solution

24.4

Thus, the required solution is 24.4 to the given numerical expression.

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an airplane flying with the wind can cover 560 miles in 2 hours. the return trip against the wind takes 2 1 2 hours. what is the speed of the plane? the speed of the plane is miles per hour. what is the speed of the air? the wind's speed is miles per hour.

Answers

The speed of the plane is 252 miles per hour and the speed of the wind is 28 miles per hour .

In the question ,

it is given that ,

the airplane covers the distance of 560 miles in 2 hours with the wind,

So , the speed of the airplane with the wind is 560/2 = 280 miles per hour

also given that

airplane covers the distance of 560 miles in 2.5 hours against the wind ,

So , the speed of the plane with the wind = 560/2.5 = 224 miles per hour .

let the speed of the airplane be "a" miles per hour ,

and let the speed of the wind be "b" miles per hour ,

So , equation of speed  with the wind is denoted by

a + b = 280

and the equation of speed against the wind is denoted by

a - b = 224

Adding both the equations , we get

2a = 504

a = 504/2

a = 252 miles per hour

and b = 280 - 252 = 28 miles per hour .

Therefore , The speed of the plane is 252 miles per hour and the speed of the wind is 28 miles per hour .

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a recent survey found that 70% of all adults wear sunglasses for driving. in a random sample of 10 adults, what is the probability that at least five wear sunglasses?

Answers

The probability that at least five wear sunglasses is 0.9464

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

In a random sample of 10 adults, the probability that at least five wear sunglasses

P(X ≥ 5) = P(X = 5) + P(X = 6 ) + P(X=7) + P(X=8) + P(X=9) + P(X=10)

P(X ≥ 5) = 10[tex]C_{5}[/tex] × [tex](0.7)^{5}[/tex]×[tex](0.3)^{5}[/tex] +  10[tex]C_{6}[/tex]×[tex](0.7)^{6}[/tex]× [tex](0.3)^{4}[/tex]+ 10[tex]C_{7}[/tex]×[tex](0.7)^{7}[/tex]×[tex](0.3)^{3}[/tex] + 10[tex]C_{8}[/tex]× [tex](0.7)^{8}[/tex]×[tex](0.3)^{2}[/tex] +10[tex]C_{9}[/tex] ×[tex](0.7)^{9}[/tex]×[tex](0.3)^{1}[/tex]+10[tex]C_{10}[/tex]×[tex](0.7)^{10}[/tex]×[tex](0.3)^{0}[/tex]

P(X ≥ 5) = 0.9464

The probability that at least five wear sunglasses is 0.9464

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which expression is equivalent to -24-12w

Answers

Answer:

Simplest form = -w - 2

Step-by-step explanation:

Given expression,

→ -24 - 12w

→ -12w - 24

Simplifying the expression,

→ -12w - 24

→ (-12w - 24)/12

→ -w - 2

Hence, the answer is -w -2.

Other Questions
Today only, a table is being sold for $333. This is 74% of its regular price. What was the price yesterday? The region of the brain that encloses the third ventricle and immediately rostral to the brainstem, and includes the thalamus, epithalamus, and hypothalamus is the. Explain the benefits and drawbacks of stock long-term and short-term investment strategies waste management company wants to construct a dumpster in the shape of a rectangular solid with no top whose length is four times its width. its volume is fixed at 25.6 yd3. find the dimensions of the dumpster that will minimize its surface area. Kala the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 3 clients who did Plan A and 5 who did Plan B. On Thursday there were 9 clients who did Plan A and 7 who did Plan B. Kala trained her Wednesday clients for a total of 6 hours and her Thursday clients for a total of 12 hours. How long does each of the workout plans last? based on the periodic table, which of the following groups of elements should have very similar chemical properties? what is the function of the radius?-Science A newly developed insecticide compound steals high-energy electrons from fadh2 and nadh before they can bind to the electron transport chain. Why does this kill insects?. Which of these credit card payback strategies would result in your paying the highest amount of interest?. X-50The table of ordered pairs shows the coordinates of the two points on the graph of a line. Which equationdescribes the line?y27a. y=x+7b. y=x-7ACPlease select the best answer from the choices providedc.d.Mark this and returny = -5x +2y = 5x + 2Save and ExitNextSubmit According to this excerpt, what is the outcome of Henry and his lieutenants differing perspectives?The lieutenant gets into a physical altercation with the soldiers.Henry and the other soldiers go silent.Henry suddenly decides to join the rebels.The lieutenant provides evidence that his strategy was correct. A line of best fit was drawn to the plotted points in a data set below. Based on the line of best fit, for what y-value does x=16x=16? In which year Silesia Revolt was happened? tamoxifen is a drug that is used to treat breast cancer. it inhibits the activities of theestrogen receptor in breast epithelial cells, which are the cells that are relevant to breast cancer. one of the concerns that scientists had during the development of tamoxifen as a therapy for breast cancer was that other cell types require estrogen signaling for their function. for example, it is known that cells in bone tissue require estrogen signaling. as a result, there was a concern that use of tamoxifen would lead to bone loss in patients. in reality, however, researchers were surprised to find that tamoxifen actually led to an increase in bone density in breast cancer patients. at the same time, tamoxifen did inhibit the activity of the estrogen receptor in breast epithelial cells in these patients. what is the best explanation for this finding? Does this table represent a function? Why or why not? X 2 3 4 5 5 A y 1 4 4 2 5 A. No, because two of the y-values are the same. OB. Yes, because there is the same number of x-values as y-values. OC. No, because one x-value corresponds to two different y-values. D. Yes, because every x-value corresponds to exactly one y-value. complete the following sentences with the correct tenses of the verbs in the parentheses then record the sentences Need done soon pls! Super easy polynomial function an object of mass 0.8 kg is attached to an ideal horizontal spring of spring constant 180 n/m. the object is initially at rest at equilibrium. how much work would it take to set the object into an oscillation with amplitude 0.02 m? Why does Victor Frankensteins experiment fail? Is it because Victors aims are just unnatural and evil? Is it because he cant love the creature he created? Or, is it because he lets his ego take over and it dictates his motivations? Or maybe its a combination of all three? Explain your answer using evidence from the novel to support your ideas. (One page required - Proofread and be sure all your sentences are grammatically correct BEFORE you submit your essay.)