A ball is thrown vertically upward from the top of a building. The height (in meters) of the ball after t seconds is given by the function
s(t) = -(t-3)^2+ 14. Find the instantaneous velocity of the ball at t= 4 seconds by considering the average velocities over the intervals [3.5, 4],
[3.7.4]. [3.9,4]. [3.99, 4], [4, 4.01], [4, 4.1], [4, 4.3], and [4,4.5).
ОА.
1.50 m/sec.
OB.
2.00 m/sec.
Ос.
-2.00 m/sec.
OD. -1.50 m/sec.

Answers

Answer 1

9514 1404 393

Answer:

  C.  -2.00 m/sec

Step-by-step explanation:

The average velocity on the interval [a, b] is found by ...

  m = (s(b) -s(a))/(b -a)

One end of the interval remains constant here, so we can define 'd' so that the interval is [4, 4+d]. Then the average velocity is ...

  m = (s(4 +d) -s(4))/((4 +d) -4)

  m = (s(4+d) -s(4))/d

The attached table shows the average velocity values on the intervals required by the problem statement. Respectively, they are ...

  -1.5 m/s, -1.7 m/s, -1.9 m/s, -1.99 m/s, 2.01 m/s, 2.1 m/s, 2.3 m/s, 2.5 m/s

We expect the instantaneous velocity at d=0 to be the average of the values at d=-0.01 and d=+0.01. We estimate the instantaneous velocity at t=4 seconds to be -2.00 m/s.

A Ball Is Thrown Vertically Upward From The Top Of A Building. The Height (in Meters) Of The Ball After

Related Questions

A piece of office equipment purchased for dollar-sign 67,500 depreciates in value each year. Suppose that each year the value of the equipment is StartFraction 1 Over 15 EndFraction less than its value the preceding year.

Calculate the value of the equipment after 2 years.

The value of the equipment after 2 years is dollar-sign

Answers

9514 1404 393

Answer:

  $58,800

Step-by-step explanation:

Each year, the value is multiplied by 1-1/15 = 14/15. Then after 2 years, the initial value has been multiplied by (14/15)^2 = 196/225. The value after 2 years is ...

  $67,500×196/225 = $58,800

-6c< -12
what will the answear be

Answers

Answer:c>2

Step-by-step explanation:

-6c (divide) (-6) > -12 (divide) (-6)

c>-12 (divide) (-6)

c>12 (divide) 6

c> 2

Which answer describes the pattern in this sequence?

2, 1, 12, 14, ...


multiply by 2

subtract 1

add 12

multiply by 12

Answers

I think the answer is to Multiply by 12

Find a power series for the function, centered at c, and determine the interval of convergence. f(x) = 9 3x + 2 , c = 6

Answers

Answer:

[tex]\frac{9}{3x + 2} = 1 - \frac{1}{3}(x - \frac{7}{3}) + \frac{1}{9}(x - \frac{7}{3})^2 - \frac{1}{27}(x - \frac{7}{3})^3 ........[/tex]

The interval of convergence is:[tex](-\frac{2}{3},\frac{16}{3})[/tex]

Step-by-step explanation:

Given

[tex]f(x)= \frac{9}{3x+ 2}[/tex]

[tex]c = 6[/tex]

The geometric series centered at c is of the form:

[tex]\frac{a}{1 - (r - c)} = \sum\limits^{\infty}_{n=0}a(r - c)^n, |r - c| < 1.[/tex]

Where:

[tex]a \to[/tex] first term

[tex]r - c \to[/tex] common ratio

We have to write

[tex]f(x)= \frac{9}{3x+ 2}[/tex]

In the following form:

[tex]\frac{a}{1 - r}[/tex]

So, we have:

[tex]f(x)= \frac{9}{3x+ 2}[/tex]

Rewrite as:

[tex]f(x) = \frac{9}{3x - 18 + 18 +2}[/tex]

[tex]f(x) = \frac{9}{3x - 18 + 20}[/tex]

Factorize

[tex]f(x) = \frac{1}{\frac{1}{9}(3x + 2)}[/tex]

Open bracket

[tex]f(x) = \frac{1}{\frac{1}{3}x + \frac{2}{9}}[/tex]

Rewrite as:

[tex]f(x) = \frac{1}{1- 1 + \frac{1}{3}x + \frac{2}{9}}[/tex]

Collect like terms

[tex]f(x) = \frac{1}{1 + \frac{1}{3}x + \frac{2}{9}- 1}[/tex]

Take LCM

[tex]f(x) = \frac{1}{1 + \frac{1}{3}x + \frac{2-9}{9}}[/tex]

[tex]f(x) = \frac{1}{1 + \frac{1}{3}x - \frac{7}{9}}[/tex]

So, we have:

[tex]f(x) = \frac{1}{1 -(- \frac{1}{3}x + \frac{7}{9})}[/tex]

By comparison with: [tex]\frac{a}{1 - r}[/tex]

[tex]a = 1[/tex]

[tex]r = -\frac{1}{3}x + \frac{7}{9}[/tex]

[tex]r = -\frac{1}{3}(x - \frac{7}{3})[/tex]

At c = 6, we have:

[tex]r = -\frac{1}{3}(x - \frac{7}{3}+6-6)[/tex]

Take LCM

[tex]r = -\frac{1}{3}(x + \frac{-7+18}{3}+6-6)[/tex]

r = -\frac{1}{3}(x + \frac{11}{3}+6-6)

So, the power series becomes:

[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}ar^n[/tex]

Substitute 1 for a

[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}1*r^n[/tex]

[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}r^n[/tex]

Substitute the expression for r

[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}(-\frac{1}{3}(x - \frac{7}{3}))^n[/tex]

Expand

[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}[(-\frac{1}{3})^n* (x - \frac{7}{3})^n][/tex]

Further expand:

[tex]\frac{9}{3x + 2} = 1 - \frac{1}{3}(x - \frac{7}{3}) + \frac{1}{9}(x - \frac{7}{3})^2 - \frac{1}{27}(x - \frac{7}{3})^3 ................[/tex]

The power series converges when:

[tex]\frac{1}{3}|x - \frac{7}{3}| < 1[/tex]

Multiply both sides by 3

[tex]|x - \frac{7}{3}| <3[/tex]

Expand the absolute inequality

[tex]-3 < x - \frac{7}{3} <3[/tex]

Solve for x

[tex]\frac{7}{3} -3 < x <3+\frac{7}{3}[/tex]

Take LCM

[tex]\frac{7-9}{3} < x <\frac{9+7}{3}[/tex]

[tex]-\frac{2}{3} < x <\frac{16}{3}[/tex]

The interval of convergence is:[tex](-\frac{2}{3},\frac{16}{3})[/tex]

Find the missing side or angle.

Round to the nearest tenth.

A=60°

b=50

C=48

a=[?]

Answers

So use the law of cosines to help you. Evaluate the square root on a calculator to solve for a. Make sure it is in degree mode and round to the nearest tenth

The missing side 'a' of the triangle ABC is 96.80 units.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

Let ABC be the triangle and a,b,c be the respective sides of the triangle.

The diagram below shows that the triangle with their dimensions.

The dimensions are

A=60°, b=50, c=48.

The two sides and one angle of the triangle are given.

The missing side a can be found by using the law of cosines,

[tex]a=\sqrt{b^{2}+c^{2} -2abcosA }[/tex]

Substitute the above values,

⇒ [tex]a=\sqrt{50^{2}+48^{2} -2(50)(48)cos60 }[/tex]

⇒ [tex]a=\sqrt{2500+2304-4800(-0.9524)}[/tex]

⇒ [tex]a=\sqrt{2500+2304+4571.58}[/tex]

⇒ [tex]a=\sqrt{9375.58}[/tex]

⇒ [tex]a=96.82[/tex] ≈ [tex]96.80[/tex]

Hence we can conclude that the missing side 'a' of the triangle ABC is 96.80 units.

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The number of visits to public libraries increased from 1.3 billion in 1993 to 1.7 billion in 1997. Find the average rate of change in the number of public library visits from 1993 to 1997.

Answers

Answer:

The average rate of change in the number of public library visits from 1993 to 1997 was of 0.1 billion an year.

Step-by-step explanation:

Average rate of change:

Division of the subtraction of the final value by the initial value, divided by the length of time.

The number of visits to public libraries increased from 1.3 billion in 1993 to 1.7 billion in 1997.

Initial value: 1.3 billion

Final value: 1.7 billion

1997 - 1993 = 4 years.

Thus:

[tex]A = \frac{1.7 - 1.3}{4} = \frac{0.4}{4} = 0.1[/tex]

The average rate of change in the number of public library visits from 1993 to 1997 was of 0.1 billion an year.

Mathematics text book for class vi has 320 pages the chapter symmetry runs from page 261 to 272. The ratio of the number of pages of this chapter to the total number of pages of the book​

Answers

Answer:

Step-by-step explanation:

No

If the chapter on symmetry runs from page 261 to 272 it is 12 pages.
The ratio of symmetry: book = 12 : 320 [which can be simplified to 3 : 80]

what is the square root of 15

Answers

Step-by-step explanation:

[tex] \sqrt{15} = 3.872983346 = 3.88[/tex]

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 4(x + 4) = 8(y + 2); 18y - 22 = 3x + 2​

Answers

x = 30

y = 2

Get the explanation from the image I have shared.

Hope it helps you

Find the distance from (4,2) to the line defined
by y = -2x + 5. Express as a radical or a number
rounded to the nearest hundredth.

Answers

Answer:

The desired distance is √5

Step-by-step explanation:

Recall that the distance from a point to a line is measured along a path perpendicular to the line.  Thus, given the line y = -2x + 5, the slope of any line perpendicular to it is the negative reciprocal of -2:  +1/2.

The line perpendicular to y = -2x + 5 and passing through (4, 2) is

y - 2 = (1/2)(x - 4), or

2y - 4 = x - 4, or 2y = x, or y = (1/2)x.

Now our problem becomes "find the length of the line connecting (4, 2) and the intersection of y = -2x + 5 and y = (1/2)x."  

Equating these, we get (1/2)x = -2x + 5, which, if multiplied through by 2, becomes x = -4x + 10, or 5x = 10, or x = 2.  If x = 2, then y = (1/2)(2) = 1.

Finally, find the distance between (2, 1) and (4, 2):

Using the Pythagorean Theorem, d = √(2^2 + 1^2) = √5

The distance from (4, 2) to the line y = -2x + 5 is √5

Calculate the interest rate with a deposit $27,580.00 in an interest-bearing account. After one year, your accrued interest is $1,442.43.

Answers

Answer:

5.23%

Step-by-step explanation:

See Image below:)

The answer would be 5.23%

∫▒〖e^2x dx〗= ???? thanks

Answers

Answer:

Step-by-step explanation:

I=∫e^2x dx

put 2x=t

2dx=dt

dx=dt/2

I=1/2∫e^t dt

=1/2 e^t+c

=1/2 e^{2x}+c

One number is 5 times as large as another. The sum of their reciprocals is
[tex] \frac{36}{5} [/tex]
. Find the two numbers.​

Answers

Answer:

[tex]The \ two \ numbers \ are \ \frac{1}{6} \ and \ \frac{5}{6}[/tex]

Step-by-step explanation:

Let the two numbers be = x , y

Given:

    One of the number is 5 times other number, that is y = 5x ----- ( 1 )

    The sum of their reciprocals is 36/5 , that is

                                                                    [tex]\frac{1}{x} + \frac{1}{y} = \frac{36}{5}[/tex]   ------ ( 2 )

  Substitute y in the second equation.

      [tex]\frac{1}{x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{1 \times 5}{5 \times x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5}{5x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5+1}{5x} = \frac{36}{5}\\\\\frac{6}{5x} =\frac{36}{5}\\\\36 \times 5x = 6 \times 5\\\\x = \frac{6 \times 5}{36 \times 5} = \frac{1}{6}[/tex]

  Substitute x in first equation.

   [tex]y = 5x\\\\y = 5 \times \frac{1}{6} \\\\y = \frac{5}{6}[/tex]

this image may be the result of the ___. if mRQS is 75, then mTPU is ____.

Answers

Answer:

B for first one.

75 for second.

Hope this helps !

Step-by-step explanation:

Which of the following correctly describes the symmetry of the cubic parent
function?
^
A. It is symmetric about the x-axis.
B. It is symmetric about the y-axis.
C. It is symmetric about the origin.
D. It is not symmetric about any point or line.

Answers

The statement that correctly describes  the symmetry of the cubic parent function is 'It is symmetric about the origin.'

The correct answer is option (c)

What is the symmetry of the function about the X-axis?

"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (a, -b) "

What is the symmetry of the function about the Y-axis?

"The graph of the function is said to be symmetric about Y-axis if whenever (a, b) is on the graph then so is (-a, b) "

What is the symmetry of the function about the origin?

"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (-a, -b) "

For given question,

The parent cubic function is [tex]f(x)=x^3[/tex]

The graph of the function  [tex]f(x)=x^3[/tex] is as shown below.

From graph we can observe that, point (x, y) as well as (-x, -y) is on the graph.

This means, the graph of  the function  [tex]f(x)=x^3[/tex] is symmetric about the origin.

Therefore, the statement that correctly describes  the symmetry of the cubic parent function is 'It is symmetric about the origin.'

The correct answer is option (c)

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At an assembly plant for light trucks, routine monitoring of the quality of welds yields the following data:
Number of Welds
High Moderate Low
Quality Quality Quality
Day Shift
Evening Shift
Night Shift 467 191 42
445 171 34
254 129 17
Can you conclude that the quality varies among shifts?
a. State the appropriate null hypothesis.
b. Compute the expected values under the null hypothesis.
c. Compute the value of the chi-square statistic.
d. Find the P-value. What do you conclude?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : quality does not vary among shift

H1 : quality varies among shift

The expected values :

(Row * column) / grand total

Given the data:

Observed values :

_________________total

_______467 191 42 __700

_______445 171 34 __650

_______254 129 17 _ 400

Total __ 1166 491 93 _ 1750

Expected value count using the formula :.

Expected Values:

466.4 ____196.4 ______37.2

433.086 _182.371___ 34.5429

266.514_ 112.229____ 21.2571

The Chisquare statistic (χ²) :

χ² = (observed - Expected)²/ observed

χ² = 5.76045

The degree of freedom = (row - 1) * (column - 1)

Degree of freedom = (3-1)*(3-1) = 2*2 = 4

Pvalue = 0.2178

Pvalue > α ; We foal to reject H0 ; Hence, we conclude that quality does not vary among shift

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate for the data below. Types of restaurants (fast food, organic food, sea food, etc.)A. The ratio level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is a natural starting point. B. The nominal level of measurement is most appropriate because the data cannot be ordered. C. The interval level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point. D. The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaningless.

Answers

Answer:

B. The nominal level of measurement is most appropriate because data cannot be ordered.

Step-by-step explanation:

Nominal scale is used when there is no specific order scale and data can be arranged according to name. Ordinal scale requires variables to be arranged in specific order. For fast food restaurant the best scale used is nominal scale as variables can be arranged according to their name without specific order.

What is sin(C)? Please explain.

Answers

Answer:

sin(C) = opposite side / hypotenuse

= 15/17

Answer:

[tex] \small \sf \: Sin ( C ) = \blue{ \frac{15}{17}} \\ [/tex]

Step-by-step explanation:

[tex] \small \sf \: Sin ( C ) = \frac {Opposite \: side }{Hypotenuse} \\ [/tex]

Where we have given :-

Opposite side = 15Hypotenuse = 17

substitute the values, we get

[tex] \small \sf \: Sin ( C ) = \blue{ \frac{15}{17}} \\ [/tex]

Help pls ASAP this need to be done

Answers

D

Because slope of section D is greater than the others and hence speed is highest.

Which parent function is represented by the graph?

Which parent function is represented by the graph?
A . The quadratic parent function
B . The linear parent function
C . The absolute value parent function
D . An exponential parent function

Answers

Answer:

D. An exponential parent function

Step-by-step explanation:

The basic parent function of any exponential function is f(x) = bx, where b is the base. Using the x and y values from this table, you simply plot the coordinates to get the graphs. The parent graph of any exponential function crosses the y-axis at (0, 1), because anything raised to the 0 power is always 1.

The parent function that represents the graph is exponential.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a function as shown in the image. It is asked to identify the parent function of this graph.

The parent function will be quadratic if the plotted graph is a parabola.

The parent function will be linear if the plotted graph is a straight line.

The parent function will be an absolute function if it is V - shaped.

So, none of the options other than the exponential parent function represents the graph.

Therefore, the parent function that represents the graph is exponential.

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A, B, and C are collinear points:
C is between A and B.
If AC = 2x + 1, CB = 3x - 1, and AB = 35, findX.

Answers

Answer:

X = 7

Step-by-step explanation:

x=7


that’s the answer

Tìm căn bậc hai của số phức z=1+i√3

Answers

Write z in polar form:

z = 1 + √3 i = 2 exp(i π/3)

Taking the square root gives two possible complex numbers,

z = √2 exp(i (π/3 + 2)/2)

with k = 0 and k = 1, so that

z = √2 exp(i π/6) = √(3/2) + √(1/2) i

and

z = √2 exp(i 7π/6) = -√(3/2) - √(1/2) i

(Y = 179x
(Y = 105x + 2046
Graph pls

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does a nice job of graphing these equations.

__

The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.

When is 9+10 really equal to 21

Answers

Answer:

it's equal to 21 when I say it's equal to 21

It can never be equal to 21 because that’s not how math works

If you vertically compress the square root parent function by a factor of 1/3, what is the equation of the new function?

Answers

9514 1404 393

Answer:

  y = (1/3)√x

Step-by-step explanation:

Vertical scaling of a function is accomplished by multiplying the function by the scale factor. If you want to scale the square root function by a factor of 1/3, then the scaled function is ...

  y = (1/3)√x

how do you find contribution margin %?

Answers

Answer:

Contribution margin = Revenue − Variable costs

Step-by-Step Explanation

For example, if the price of your product is $20 and the unit variable cost is $4, then the unit contribution margin is $16.

The first step in doing the calculation is to take a traditional income statement and recategorize all costs as fixed or variable. This is not as straightforward as it sounds, because it’s not always clear which costs fall into each category.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)  

Complete parts (a) through (c) below
a. A storage pod has a rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor. Find the area of the floor and the volume of the pod.
Alap pool has a length of 28 yards, a width of 20 yards, and a depth of 3 yards Find the poof's surface area (the water surface) and the total volume of water that the pool holds Raised flower bed is 30 feet long. 5 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds
The area of the floor of the pod is (Type an integer or a decimal)
The volume of the pod is (Type an integer or a decimal
b. The pool's surface area is (Type an integer or a decimal)
The total volume of the water that the pool holds (Type an integer or a decimal)
c. The area of the flower bed is (Type an integer or a decimal)
The volume of the soil that the flower bed holds is (Type an integer or a decimal)

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Pool dimension :

rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor

Floor area = length * width

Floor area = 22 * 13 = 286 ft²

Volume of the pod :

Floor area * height = 286ft² * 7ft = 2002 ft³

2.)

Surface area = length * width

Surface area = 28 * 20 = 560 ft²

Volume of the pool :

Surface area * deptb = 560ft² * 7ft = 2002 ft³

3.)

Area of flower bed = length * width

Floor area = 30 * 5 = 150 ft²

Volume of the soil flowerbed holds :

Depth = 1.1 m

Area of flowerbed * depth =150ft² * 1.2ft = 180 ft³

what is a bank statement​

Answers

Answer:

A statement that shows current balance of an account and all transactions that occurred on that account since the last statement.

Transactions such as deposits, withdrawals, checks written, debt card uses...

There are other examples of bank statements for things like home loans, business loans, and investments.

To solve the equation 6x + 3 = 9 for x, what operations must be
performed on both sides of the equation in order to isolate the variable
x?

Answers

Answer:

Subtraction, and then division.

Step-by-step explanation:

We would subtract 3 on each side to undo the '3', and then divide by 6 on both sides to isolate 'x'.

[tex]6x+3 = 9\\\\6x + 3 - 3 = 9 - 3\\\\ 6x = 6\\\\\frac{6x=6}{6}\\\\\boxed{x=1}[/tex]

Hope this helps.

To solve the equation 6x + 3 = 9 for x, the operations that must be performed on both sides of the equation in order to isolate the variable x are subtraction and then division.

What is a linear equation?

A linear equation in one variable has the standard form Px + Q = 0. In this equation, x is a variable, P is a coefficient, and Q is constant.

How to solve this problem?

Given that 6x + 3 = 9.

First, we have to separate variable and constants. So, we have to subtract 3 from both sides.

6x + 3 - 3 = 9 - 3

i.e. 6x = 6

Now, to solve this equation, we use division.

x = 6/6 = 1

i.e. x = 1

Therefore, to solve the equation 6x + 3 = 9 for x, the operations that must be performed on both sides of the equation in order to isolate the variable x are subtraction and then division.

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please step by step with formula.
Suppose that you deposit $3,850 in an account paying 4.65% simple interest. How long will it take to earn $150 in interest?​

Answers

Answer:

0.837

Step-by-step explanation:

3850*4.65%=179.025

150/179.025=0.837

0.837

Other Questions
Find the distance between the pair of points: (3,-4) and (5,1). Which of the following statement is incorrect?. a.Closure property is true for subtraction of Rational numbers b.Commutative property is true for subtraction of Rational numbers c.Closure property is true for addition of Rational numbers d.Closure property is true for multiplication of Rational numbersIf you answer the question I will follow youanswer fast Zoom out to an eye altitude of 3000 km. Look for the deep-sea trench that marks a subduction zone east of Mt. Fuji. Move along the subduction zone to the northeast until you encounter Matua Island in the Kurile Islands chain which belongs to Russia. This island is dominated by Sarychev Peak, one of the most active volcanoes of the Kurile Islands. Measure the height of the volcano and observe its features. Which of the following statements best describes your observations?a. Sarychev Peak is an island arc volcano, smaller but currently more active than Mt. Fuji. b. Sarychev Peak is located in a continental volcanic mountain belt; it is smaller and currently less active than Mt. Fuji. c. Sarychev Peak is a mid-ocean ridge volcano, larger and currently more active than Mt. Fuji. d. Sarychev Peak is a hot spot shield volcano, smaller but currently more active than Mt. Fuji. Read the sentence.In this sentence, the word "you" is a(n)"You really should be careful when handling thatglass," instructed the teacher.reciprocal pronoun.subjective pronoun.objective pronounintensive pronoun. What are the three main goals of monetary policy? A roll of nickels is worth $2.00. Write andsolve an equation to determine the numberof nickels in a roll. Translate the equation into a sentence: 4(x - 3) = 6 + x Which statement best summarizes Nehru's claim in thepassage?O Freedom requires all people to do work.O People who are sorrowful cannot be free anddisciplined.o Only politicians and leaders will have to work forfreedom.O For most people, life is too difficult to enjoy freedom. How many genetically different gametes can this cell form? question- pls help me find the answer Compound EX4 reacts with Y2 giving two products: EX Y and XY. Calculate the E- X bond enthalpy if the reaction liberates 243.6 kJ/mol and other bond enthalpies are: Y-Y 109 kJ/mol, X-Y 123.1 kJ/mol and E-Y 290 kJ/mol. a. 547.7 kJ/mol b. 60.5 kJ/mol c. 234.7 kJ/mol d. 20.6 kJ/mol e. 176.9 kJ/mol Use the following information to compute profit margin for each separate company a through e. (Round your answers to 1 decimal place.) Company Net income Net sales Profit Margina. $5,253 $44,140b. 86,033 392,846c. 90,324 251,598d. 63,120 1,434,550e. 72,787 428,158Required:Which of the five companies is the most profitable according to the profit margin ratio? Please help and thank you a. Label another angle whose measure is 76.b. Explain how you know this angle has the same measure. Si el velocimetro de un auto marca un 25% mas que la verdadera velocidad y en este momento marca 100km/h entonces la velocidad verdadera es? Gavyn was thinking of a number. Gavyn subtracts 8.3 from the number and gets an answer of 52.7. Form an equation with x from the information. The specific heat capacity of liquid water is 4.18 J/g-K. How many joules of heat are needed to raise the temperature of 6.00 g of water from 36.0C to 75.0 C? Identify the pairs of congruent angles and proportional corresponding side lengths What would not be considered a characteristic of meals at the Harvey Houses?a.The Harvey Houses provided large portions to its patrons.b.Since railroad stops were only 20 minutes, so meals needed to be quick.c.The atmosphere was clean and efficient.d.The meals were designed to be long, leisurely dinners. help help me please!!Sebutkan sepuluh bilangan genap? E ?