does 2+x have an y-intercept of 2 and slope of 1​

Answers

Answer 1
Yes! That is correct.

Related Questions

what is the expression?what is the overall area of the garden space?how can u find out the total area of walking spaces?

what is the expression?what is the overall area of the garden space?how can u find out the total area

Answers

we have the following:

\(p=2\cdot w+2\cdot l\)

therefore, replacing:

\(\begin{gathered} p=2\cdot(x+3+x)+2\cdot(x+3+x+3+x) \\ p=2\cdot(2x+3)+2\cdot(3x+6) \\ p=4x+6+6x+12 \\ p=10x+18 \end{gathered}\)

the answer is, the perimeter is 10x + 8

a data analyst creates a scatterplot. the analyst wants to put a text label on the plot to call out specific data points. what function does the analyst use?

Answers

The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.

What is scatterplot?

A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

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A. Transform F using the rule (x, y) → (-x, y) (1 pt.)

B. Describe the transformation precisely. (1 pt.)

C. Does the transformation result in a a congruent figure? (1 pt.)

Answers

A. To transform F using the rule (x, y) → (-x, y), we simply take the opposite of the x-coordinate of each point in F while leaving the y-coordinate unchanged. For example, if F has a point (2,3), after transformation, it becomes (-2,3). We do this for all points in F to get the transformed figure.

C. The transformation does result in a congruent figure. A congruent figure is one that has the same shape and size as the original figure but may be in a different position. In this case, the shape of the figure remains the same, and the transformation only changes the position of each point by reflecting it across the y-axis. Therefore, the resulting figure is congruent to the original figure.

A. To transform figure F using the rule (x, y) → (-x, y), you need to change the x-coordinates of all the points in the figure by taking their opposite value while keeping the y-coordinates the same. This transformation reflects the figure over the y-axis.

C. This transformation results in a congruent figure. Congruent figures have the same shape and size but may have different orientations. In this case, the transformation only changes the orientation of the figure by reflecting it across the y-axis, without altering its shape or size. Therefore, the original figure and its transformed counterpart are congruent.

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Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)

Answers

Answer:

9x-4x exponent 2

Step-by-step explanation:

8x+x-4x ex2

9x-4x ex2

subtract 8 from 5 times g

Answers

The algebraic equation formed withthe give information will be: \(5 \times g - 8\)

Answer:

5g-8

Step-by-step explanation:

i don't know

have a great day

For each problem, define a variable and set up an equation, then solve.

It costs $4.25 per game at the bowling alley plus $1.90 to rent shoes. If Wayne has $20 how many games can he bowl?

Your response will be a number only.

Answers

The number of games Wayne can play is 4.

How many games can he bowl?

A linear equation is an equation that when graphed is a straight line. A linear equation has a single variable that is raised to the power of one.

The total cost of the game is a function of the cost per game, number of games he can play and the cost of renting shoes

Total cost = cost to rent shoes + (cost per game x number of games)

$20 = $1.90 + ($4.25 x g)

$20 = $1.90 + $4.25g

In order to determine the value of g, take the following steps:

Combine similar terms: 20 - 1.90 = 4.25g

Add similar terms:  18.10 = 4.25g

Divide both sides by 4.25: 18.10 / 4.25

g = 4.2

g = 4 games

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Any help with this ???

Any help with this ???

Answers

Answer:

a) 2 new printers

b) 11 min

Step-by-step explanation:

Given:

5 old printers take 30 min to produce a batch of comic books

4 new printers take 18 min to produce a batch of comic books

.

a) First, we need to find how long does one old and new printer take to produce a batch of comic books:

.

Since 5 old printers take 30 min to do the job, one printer would take 5 times more than this (5 printers work together and they do the job faster than one, that's why we have to multiply):

.

1 old printer does the job in:

5 × 30 = 150 min

1 new printer does the job in:

4 × 18 = 72 min

.

Since one old printer does the job in 150 min, 6 old printers would do this job 6 times faster (that's why we divide):

6 old printers would take:

150 / 6 = 25 min

2 new printers would take:

72 / 2 = 36 min

.

25 < 36

That means, 2 new printers would do this job faster

.

b) In order to find how much less time would this take, we have to subtract:

.

36 - 25 = 11 min

Please help!!!
Please answer two of these questions and I’ll give 20 points!!

12. In a Fibonacci sequence, every term (except the first two) is the sum of the two
preceding terms. For example, 1, 1, 2, 3, 5, 8, 13, 21, ... is a Fibonacci sequence.
Find the sixteenth term of a Fibonacci sequence whose first two terms are -3 and 9.

13. If you buy 31 floops, the total cost will be less than 40$. But if you buy 32 floops, the total cost will be more than 41$. Assuming these prices do not involve tax, what is the cost of one floop?

Answers

12. If the first two terms of the sequence are -3 and 9, the next few terms are

-3 + 9 = 6

9 + 6 = 15

6 + 15 = 21

15 + 21 = 36

and so on. Continuing in this way, you'd find the 16th term to be 4359.

13. Let x be the cost of 1 floop.

31 floops cost less than $40, so 31x < 40 or x < 40/31.

32 floops cost more than $41, so 32x > 41 or x > 41/32.

Equivalently,

41/32 < x < 40/31

and

41/32 ≈ 1.28125

40/31 ≈ 1.29032

which means x = $1.29.

Are x and y proportional?

Are x and y proportional?

Answers

Answer:

No

Step-by-step explanation:

If you look at the first numbers, 1 and 3, we can see that 1 is being multiplied by 3 to get 3.

But if you look at the second numbers, 2 and 4, then you can see that 2 is not being multiplied by 3 to get 4.

Therefore, it is not proportional.

When these equations are added together, what will the overall equation be? Upper C subscript 2 upper H subscript 4 plus upper H subscript 2 right arrow upper C subscript 2 upper H subscript 6. Upper H subscript 2 plus upper C subscript 2 upper H subscript 4 plus 2 upper H right arrow 2 upper H plus upper C subscript 2 upper H subscript 5 plus upper C subscript 2 upper H subscript 6. Upper C subscript 2 upper H subscript 4 plus upper C subscript 2 upper H subscript 5 plus upper H subscript 2 right arrow upper C subscript 2 upper H subscript 5 plus upper C subscript 2 upper H subscript 6.

Answers

When the given equations are added together, the overall equation can be summarized as follows: the combination of ethylene (C₂H₄) and hydrogen gas (H₂) yields ethane (C₂H₆), along with the formation of ethylene (C₂H₄) and ethene (C₂H₅).

The overall equation can be understood by examining the individual reactions and their products. In the first equation, ethylene (C₂H₄) reacts with hydrogen gas (H₂) to form ethane (C₂H₆). This equation represents the addition of hydrogen molecules to the double bond in ethylene, resulting in the formation of a single bond between the carbon atoms and the saturation of all available bonds.

The second equation involves the combination of hydrogen gas (H₂) with ethylene (C₂H₄) and the subsequent formation of ethene (C₂H₅) and ethane (C₂H₆). In this reaction, one of the hydrogen molecules adds to the double bond in ethylene, resulting in the formation of ethene.

The final equation depicts the combination of ethylene (C₂H₄) and ethane (C₂H₅) with hydrogen gas (H₂). This reaction leads to the formation of ethane (C₂H₆) and ethene (C₂H₅). Overall, when these equations are added together, they represent a series of reactions involving the addition and rearrangement of hydrogen atoms in hydrocarbon molecules, resulting in the formation of ethane and ethene.

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Answer:

Step-by-step explanation:

Answer A

A rocket is launched from ground level with an initial velocity of 224ft/sec
a) How long will it take to hit the ground?
b) When will the rocket reach a height of 528 ft?

Answers

Answer:

So far, so good. Remember the rocket goes up, and then comes back down again. What you have discovered so far is that the height is 528 feet 3 seconds after launch, and then it keeps going up. At some point it starts coming back down again, and at 11 seconds after launch it passes 528 feet again.

Part b is exactly the same problem, except that you use 0 instead of 528. You will get two roots for your equation again, one will be 0 because the rocket is on the ground at time 0, and the other will be the time it hits the ground on the way back down.

Step-by-step explanation:

the length of a rectangle is twice as long as he width. the perimetter of the rectangle is 72 in. what tare thte length and width of this rectangle

Answers

Width is 24 & Length is 12 of a rectangle.

What is rectangle short answer?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

give,

Perimeter = 72

Width = 2*Length

Let P = Perimeter

Let W = Width

Let L = Length

Knowing

P = 2L + 2W = 72

W = 2L

We can rewrite everything in terms of Length

72 = 2L + 2(2L)

72 = 2L + 4L

72 = 6L

72/6 = L

12 = L

W = 2L

W = 2(12) = 24

Width is 24

Length is 12

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Jack Cobb signed a simple discount note with a face value of $12000 at a discount rate of 14% for 7 months. Find the proceeds of the note and the effective interest rate

Answers

Answer:

Proceeds = $11020

Effective interest rate = 15.2%

To find the proceeds of the note, we will subtract the bank discount from the face value

\(Discount=12000\times0.14\times\frac{7}{12}=980\)\(\text{Proceeds}=12000-980=11020\)\(R=\frac{I}{PT}\)\(R=\frac{980}{(11020)(\frac{7}{12})}\)\(R=0.15245=15.2\%\)

please pick right answer (show work) :( number 19

please pick right answer (show work) :( number 19

Answers

Answer:

2 cups

Step-by-step explanation:

5/8 + 11/ 8 = 16/8 = 2

Can someone help me with this problem and give the answer

Can someone help me with this problem and give the answer

Answers

Answer:

D

Step-by-step explanation:

No more means the other number is less than or equal to.

A company estimates that its sales will grow continuously at a rate given by the function s(t) = 11. Where S' (t) is the rate at which sales are increasing, in dollars per day, on dayt a) Find the accumulated sales for the first 6 days, b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5. ) a) The accumulated sales for the first 6 days is $ (Round to the nearest cent as needed. ) b) The sales from the 2nd day through the 5th day is $ (Round to the nearest cent as needed. )

Answers

Scrie o compunere, de minimum 150 de cuvinte, în care să il caracterizezi pe tata, personajul
din textul 1.
In redactarea compunerii:
vei menţiona două trăsături ale personajului;
4 puncte
6 puncte
vei ilustra două modalități de caracterizare diferite, prin câte o secvență comentată;
vei corela o valoare transmisă prin acest personaj cu una importantă pentru tine, justificându-ți
2 puncte
răspunsul.
Punctajul pentru compunere se acordă astfel:
conținutul compunerii - 12 puncte
redactarea compunerii-8 puncte (marcarea corectă a paragrafelor-1 punct; coerenta textului-1 punct
proprietatea termenilor folosiți-1 punct; corectitudine gramaticalà - 1 punct; claritatea exprimării ideilor -
1 punct; respectarea normelor de ortografie - 1 punct; respectarea normelor de punctuație - 1 punct;
lizibilitate-1 punct).
Notă! Punctajul pentru redactare se acordă doar in cazul în care compunerea are minimum 150 de cuvinte
şi dezvoltă subiectul propus.

9. Use the graph of each polynomial function to find the factored form of the related polynomial.
Assume the polynomial has no constant factor.
A
What are the zeros of this function? (2 points) (-1). 4
What is the factorization of the polynomial? (2 points)

9. Use the graph of each polynomial function to find the factored form of the related polynomial.Assume

Answers

Answer:

The zeros are the points on the x-axis where the graph intersects.

For factorization, you do (x - the zero) for each zero, and multiply them together.

7. A. The zeros are -2 and 4.

The factorization is (x + 2)(x - 4)

7 B. The zeros are 1 and 3.

The factorization is (x - 1)(x - 3)

Step-by-step explanation:

Answer:

A. What are the zeros of this function? (2 points)

-2, 4

What is the factorization of the polynomial? (2 points)

y = (x +2)(x -4)

B.

What are the zeros of this function? (2 points)

2, 3

What is the factorization of the polynomial? (2 points)

y = (x - 2)(x - 3)

Step-by-step explanation:

the burning times of scented candles, in minutes, are normally distributed with a mean of 249 minutes and a standard deviation of 20 minutes. find the number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles. use excel, and round your answer to two decimal places.

Answers

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

What is Z-score?

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

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Partially factored form: f(x) = (x − 3)(x 3)(x2− 4x 5) use the quadratic formula to identify the zeroes of x2 − 4x 5. x =

Answers

Answer:

2 ± i

Step-by-step explanation:

by 5, I assume you mean +5

x² - 4x + 5 = 0

x = (-b±(√(b²-4ac)) / 2a

x = (4 ± (√(16 - 20)) / 2

x = (4 ± (√(-4)) / 2

√-4 = √4√-1 which is 2i

x = (4 ± 2i) / 2

x = 2 ± i

Research suggests that half the American public believes in at least one conspiracy theory. Some of the more popular theories involve a secret group controlling the world, a faked moon landing, and Area 51 and aliens. You might consider investigating the theory about lizard people who control our society. The research results are often very different according to political affiliation. A random sample of Democrats and Republicans were asked if they believe pharmaceutical companies invent new diseases to make money. The resulting data are given in the table. Number who believe Political Sample pharmaceutical companies affiliation size invent diseases Democrats 788 137 Republicans 866 105 1. Is there any evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans? Use alpha = 0.01. 2. Calculate the test statistic and p value for this hypothesis test. Assume p, is the proportion of Democrats and P2 is the proportion of Republicans.

Answers

the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis

To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.

Let's set up the hypotheses:

Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:

\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)

where:

- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.

- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.

- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.

Given the sample data:

Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)

Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)

Let's calculate the test statistic and the p-value:

Step 1: Calculate \(\( \hat{p} \)\):

Total number of believers = 137 + 105 = 242

Total sample size = 788 + 866 = 1654

\(\( \hat{p} = \frac{242}{1654} \)\)

Step 2: Calculate the test statistic (Z):

\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)

≈ -1.258

Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.

To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.

Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.

Conclusion:

Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.

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State the explicit formula for the sequence below and find the 8th term.
-4, 16, -64, 256,...
O an = -4(4)n-1; n = 8 is-262,144
O an = -4(-4)-1; n = 8 is 65,536
O an = 4(4)n-1; n = 8 is 65,536
O a = 4(-4)n-1; n = 8 is 261,144
6.25 pts
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Answers

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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Find the selling price of a $10 item after a 40% markup.

Answers

Answer:

The selling price is $14

Step-by-step explanation:

Somebody tell me the answer to this please

Somebody tell me the answer to this please

Answers

Answer:

its (0, 3) or (3, 0)

Step-by-step explanation:

its not A. or D.

Answer:

\((3,0)\)

Step-by-step explanation:

The x-intercept(s) of a function is the point(s) where the function intersects the x-axis, or the horizontal axis. If we look at the graph, we see that the function intersects the x-axis when \(x=3\) (we know this because \(3\) is directly in between \(2\) and \(4\)) and \(y=0\), so the answer is \((3,0)\). Hope this helps!

5x-10+2x=7+7x-17

Choose the Correct answer below:

Sometimes true
Never true
Always true

Answers

Answer:

always true

Step-by-step explanation:

Simplify, and if possible solve the equation to find out

remember, inverse operations

5x - 10 + 2x = 7 + 7x - 17

simplify both sides

7x - 10 = 7x - 10

this is an identity, no matter the value of x put in, the equation will be true,

hence the equation is always true

helppppp meeeee plz i'll give brainliest!!!

helppppp meeeee plz i'll give brainliest!!!

Answers

Answer:

1

Step-by-step explanation:

2m + 4 = 6

2m = 6 - 4

2m = 2

m = 1

the answer is one.. ....

What equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Answers

Answer:

(x + 3)² + (y + 5)² = 36

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 3, - 5 ) and r = 6 , then

(x - (- 3) )² + (y - (- 5) )² = 6² , that is

(x + 3)² + (y + 5)² = 36

A grocery store has a sale on apples. Shoppers can buy 3 bags of apples for $5. Each bag contains 6 apples. Which of the following statements is true?

A grocery store has a sale on apples. Shoppers can buy 3 bags of apples for $5. Each bag contains 6 apples.

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

3b = 5$

3b = 6a

3b = 3 bags

6a = 6 apples

A. It costs 3.60 for 1 bag of apples

3.60 + 3.60 = 60 + 60 = 120 + 3 = 123 + 3 = 126

Meaning it would cost 126 for 3 bags of apples making this a incorrect option

B. It costs 3.60 for 1 apple

B is wrong because its one apple and if we were to subtract the apple would probably only cost a few change not 3$ and 60 cents.

C. The cost of 9 bags of apples is 30$

9b = 21a, its either c or d but I'm pretty sure its D!

D. The cost of 108 apples is 30$

D is correct

~ LadyBrain

Write an equivalent expression by applying the distributive property or drawing a diagram. You MUST show all work

(x+3)(x−6)

Answers

Here is the answer to the equation. The photo below is the work shown.

x^2-3x-18
Write an equivalent expression by applying the distributive property or drawing a diagram. You MUST show

Answer:

Step-by-step explanation:

(x+3)(x-6)

x(x-6)+3(x-6)

x^-6x+3(x-6)

x^-6x+3x-18

x^-3x-18

Solution:

x^-3x-18

Which relations represent functions? ​

Which relations represent functions?

Answers

I’m pretty sure the anser is b

Answer:

i'm pretty sure the answer is the second one.

explanation:

a function is x can have more than 1 y but y cant have more than 1 x.

gretchen is comparing verbal ability scores for four groups. she finds that the f statistic for her test is 4.01, and the cutoff value she identified prior to her analysis was 3.45. should gretchen reject or fail to reject the null hypothesis and what, if any, other steps does she need to take?

Answers

Reject the null hypothesis since her F statistic is beyond the cutoff, and perform a post hoc test to determine between which groups the significant difference occurs.

Given,

In the question:

Gretchen is comparing verbal ability scores for four groups. she finds that the f statistic for her test is 4.01, and the cutoff value she identified prior to her analysis was 3.45.

To find the Gretchen reject or fail to reject the null hypothesis.

Now, According to the question:

f statistic test is 4.01

and the cut-off value analysis 3.45

Hence, Reject the null hypothesis since her F statistic is beyond the cutoff, and perform a post hoc test to determine between which groups the significant difference occurs.

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How did the U.S. help the Allies in the early years of the war?A.made loans with the Allied countriesB.fought alongside the Allied foot soldiersC.gave weapons to the AlliesD.all of the above Hi can someone please help me with these questions. I'm struggling with them!! Suppose that a woman weighing 130 lb and wearing high heeled shoes momentarily places all her weight on the heel of one foot. If the area of the heel is 0.50 in.2, calculate the pressure exerted on the underlying surface in (a) pounds per square inch, (b) kilopascals, and (c) atmospheres. If an enzyme is inhibited by a substance that binds away from the active site this substance must be? eight people are entered in a race. If there are no ties, in how many ways can the top three places come out? A brass sphere of mass 50kg and specific heat capacity 380j/kg/k is droped from a height of 500m what is the rise in temp. of the sphere of or the potential energy of the top is Transformed to heat energy 2 + ( 5 ) + 1 5 + ( 3 ) Ray Kroc's motivation to keep going and not give up can be summarized by this quote from the film:"One word... PERSISTENCE. Nothing in this world can take the place of good old persistence. Talent won't. Nothing'smore common than unsuccessful men with talent. Genius won't. Unrecognized genius is practically a cliche.Education won't. Why, the world is full of educated fools. Persistence and determination alone are all powerful."Put these four characteristics in order from most important to least important; talent, genius, education andpersistence. Be sure to give an explanation for why you ordered the characteristics in this way. You can use detailsfrom the movie and/or experiences from your own life to support your answers. Solution for the attached question below the passage of the moon into earths shadow causes a A leader's decision-making style captures how a leader decides as opposed to what a leader decides.a. Trueb. False 2. Short-response prompt (15 points)Read the following passage from Chapter 16 of The Life and Adventures of Robinson Crusoe, in which Crusoe reflects on his relationship to the island and its inhabitants:My island was now peopled, and I thought myself very rich in subjects; and it was a merry reflection, which I frequently made, how like a king I looked. First of all, the whole country was my own property, so that I had an undoubted right of dominion. Secondly, my people were perfectly subjectedI was absolutely lord and lawgiverthey all owed their lives to me, and were ready to lay down their lives, if there had been occasion for it, for me. It was remarkable, too, I had but three subjects, and they were of three different religionsmy man Friday was a Protestant, his father was a Pagan and a cannibal, and the Spaniard was a Papist. However, I allowed liberty of conscience throughout my dominions.Explain Defoe's point of view on colonialism in the passage. Then analyze how the scene could be interpreted as satire to express that point of view. Be sure to use specific details from the passage in your response. Explain Defoe's point of view on colonialism in the passage. Then analyze how the scene could be interpreted as satire to express that point of view. Be sure to use specific details from the passage in your response. which type of cast or splint will the nurse expect to see on a child with a fractured femur? what is the ph of a solution which is 0.1426 m in nh3 and 0.1291 m in nh4br common ion effect Lucas wants to buy a new car. Before he makes a final purchase, he decides to do a full web-based information search. He also talks with his family and friends to gain even more knowledge. What type of decision-making is this an example of?. How do you form your own expectation of inflation? More like (a) or (b)? Explain. The arrival of Aryan people in India led to:A. The spread of Brahmanism.B. The destruction of the caste system.C. The end of the Sanskrit language.D. The start of a democratic government.(I'll give brainliest for the correct and accurate answer.) Inside a cell, there are 30 sodium ions and 20 potassium ions. If the sodium-potassium pump uses two molecules ofATP, determine how many ions of sodium and potassium will be left inside the cell. Explain your reasoning. What is the vertex of the function f/x )= x? Some amino acids can be producedin our body and some cannot beproduced; the only way we canobtain these amino acids is throughdifferent that contain them.A. foodsB. vitaminsC. minerals