Find a parametrization of the tangent line at the point indicated. r(t) = cos(6t), sin(3t) , t = 4

Answers

Answer 1

The given statement states that the parametrization of both the tangent line there at designated position is 7x - 4y = 3.

What is parametrization?

Finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, specified by an implicit equation, is the process of parametrization (or parameterization; see parameterization, parametrization). Implicitization is the term for the opposite process.  The parametrization consists of one function of multiple real variables for each coordinate since the state of the system is typically controlled by a finite set of coordinates. The system's degree of freedom is equal to the number of parameters.

According to the given data:

r(t) = cos(6t), sin(3t) , t = 4

= -6sin6t, 3cosjt , 1

The parameter of Tangent live is

L(t) = γ(t₀) + tr'(t₀)

therefore

γ(t₀) = γ(ππ₄)

= (0 , 1/√2 , π/4)γ (+0)  =  γ(π/4)

= ( 6, -3/√2 , 1)

putting in the formula we get:

L(t) = γ(t₀) + tr'(t₀)

L(t) = (0 , 1/√2 , π/4) + t( 6, -3/√2 , 1)

= \(\left(6 t-\frac{1}{\sqrt{2}}-\frac{3}{\sqrt{2}} t, \frac{\pi}{4}+t\right)$$\)

= 2.

Given

f(x, y ) = in(7x² - 4y²)

at the point(1, 1)

Δ f (m, y) = (fn , f4)

= \(\frac{14 x}{7 n^2-4 y^2}, \frac{-8 y}{7 x^2-4 y^2}\\\\\)

Δ f (1, 1)

= \(\left\langle\frac{14}{3}, \frac{-8}{3}\right\rangle\)

= (a ,b)

The equation of the tangent plane is

a(x - x₀) + 6dy - y₀ = 0

(14/3)(x - 1)- (8/3)(y -1 ) = 0

14x - 14 - 8y + 8 = 0

14x - 8y = 6

7x - 4y = 3

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Related Questions

The mean is ? = 137.0 and the standard deviation is ? = 5.3.
Find the probability that X is between 134.4 and 140.1.

0.4069

0.6242

0.8138

1.0311

Answers

The probability that X is between 134.4 and 140.1 is approximately 0.4076, which is closest to the option 0.4069.

To calculate this probability, we need to standardize the values using the standard normal distribution. First, we find the z-scores for the lower and upper bounds:

z1 = (134.4 - 137.0) / 5.3 ≈ -0.4906

z2 = (140.1 - 137.0) / 5.3 ≈ 0.5849

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability corresponding to z1 is P(Z < -0.4906) ≈ 0.3131, and the probability corresponding to z2 is P(Z < 0.5849) ≈ 0.7207.

To find the probability that X is between 134.4 and 140.1, we subtract the probability associated with the lower bound from the probability associated with the upper bound:

P(134.4 < X < 140.1) = P(Z < 0.5849) - P(Z < -0.4906) ≈ 0.7207 - 0.3131 = 0.4076.

As a result, the chance that X lies between 134.4 and 140.1 is roughly 0.4076, which is closest to the value of 0.4069 for the option.

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(11x - 1)
(20x – 3)
151°

(11x - 1)(20x 3)151

Answers

Answer:

x= 1.6 degrees

Step-by-step explanation:

to find the missing angle 180 degrees - 151 degrees

29° is the missing angle at the bottom ryt of the triangle.

all angles in triangle add upto 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x= 1.6°

A polygon with three edges and three vertices is called a triangle.

x=1.6° is its value.

Explain about the triangle?

Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.

The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.

The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.

To identify the omitted angle between 180 and 151 degrees

The triangle's bottom right corner lacks a 29° angle.

triangle's angles sum up to 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x =1.6 degree

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I NEEEED answers WITH 5.3.3 in CONNEXUS FOR MATH PLSSS


A square has a perimeter of 12 units. One vertex is at the point left-parenthesis negative 1 comma 1 right-parenthesis, and another vertex is at the point left-parenthesis 2 comma 4 right-parenthesis. Which of the following points could be another vertex?
A. left-parenthesis 1 comma 2 right-parenthesis
B. left-parenthesis 2 comma 1 right-parenthesis
C. left-parenthesis 1 comma negative 2 right-parenthesis
D. left-parenthesis 2 comma negative 1 right-parenthesis

Answers

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

What is the vertex of the square?

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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Hey, can someone help me with my math homework?

Hey, can someone help me with my math homework?

Answers

aqueell ears hanan pus

Exit Find the digit 5 in each of these numbers. 15.2 3.5 The 5 in 3.5 is 1 place to the right of the 5 in 15.2. Which sentence correctly compares the values? A. The value of the 5 in 3.5 is times the value of the 5 in 15.2. B. The value of the 5 in 3.5 is times the value of the 5 in 15.2. C. The value of the 5 in 3.5 is 10 times the value of the 5 in 15.2. D. The value of the 5 in 3.5 is 100 times the value of the 5 in 15.2.

Answers

Answer:

The value of the 5 in 3.5 is 1/10 times the value of the 5 in 15.2

Step-by-step explanation:

15.2

2 = tenth = 2/10 = 0.2

5 = unit = 5

1 = tens = 10

3.5

5 = tenth = 5/10 = 0.5

3 = units =3

5 tenth ÷ 5 units

= 5/10 ÷ 5

= 5/10 × 1/5

= 5/50

= 1/10

Check:

1/10 × 5

= 5/10

= 0.5

Given that the line y=ax+b passes through the points A(-1,7)and B(3,-1)), how do I find the values of a and b?

Answers

The coefficients a and b for the linear function are given by:

a = -2, b = 5.

What is a linear function?

A linear function is modeled by:

y = ax + b

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points, the slope is given by change in y divided by change in x, hence, for points AB:

a = (-1 - 7)/(3 - (-1)) = -8/4 = -2.

Hence:

y = -2x + b.

When x = -1, y = 7, hence the value of b is found as follows:

7 = -2(-1) + b

b = 5.

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PLEASE HELP ILL GIVE BRAINLIEST!! i don’t understand this at all!

PLEASE HELP ILL GIVE BRAINLIEST!! i dont understand this at all!

Answers

#4 is C || #5 is J || #7 is G || #8 is A

Amelia bought a violin that had a regular price of $150 and was marked down 20%. How much did Amelia pay for the violin?

hurry pleasee

Answers

Answer:

$120

Step-by-step explanation:

ticket prices at an outdoor theatre performance are $2.50 for children and $5.00 for adults. one evening, $6350 is collected from a total of 1900 people attending. how many adults and how many children attend?:

Answers

As the ticket prices at an outdoor theatre performance are $2.50 for children and $5.00 for adults. one evening, $6350 is collected from a total of 1900 people attending. There are 640 adult and 1260 childrens.

Given in the questions:

Ticket price in outdoor Theater = $2.50

For Children = $5.00

Total tickets collected in evening = $6350(collected from 1900 people)

Let p be the adult and

1900 - p be the children's who attained the show.

Now,

   2.5 × (1900- p) +5p = 6350

⇒ 4750 - 2.5p +5p =6350

⇒ 2.5p = 1600

⇒ p = 1600/2.5

⇒ p = 640

Since,

p = 640

Therefore,

   1900 - p = children

⇒ Children = 1900 - 640

⇒ Children = 1260

Therefore, there are total 640 adults and 1260 children's in the theater.

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19 out of 34 as a percentage

Answers

Answer:

6.46%

Step-by-step explanation:

19*34= 646

646/100= 6.46

Hope this helps! :)

Answer:

55

Step-by-step explanation:

To be exact it is 55.8823529412%

Locate the point (-3.5, -1) on the coordinate plane:
3
2
1
-3
-2
-1
2.
3
-1
-2
-3

Locate the point (-3.5, -1) on the coordinate plane:321-3-2-12.3-1-2-3

Answers

Answer:

go to the left 3.5 units then go down one and that's your point

I attached a picture.
You would go left on the x-axis 3 1/2 units, and up 1 on the y-axis.
Locate the point (-3.5, -1) on the coordinate plane:321-3-2-12.3-1-2-3

The 42 students on the conservation trip picked up trash at the beach. The girls picked up 15 pounds each and the boys picked up 12 pounds each for a total of 576 pounds. Use b and g for each of the equations.

Answers

Answer: number of boys = 18

Number of girls = 24

Step-by-step explanation:

Based on the information given, we can form this into an equation which will be:

b + g = 42 ....... i

12b + 15g = 576 ...... ii

Multiply equation i by 12

Multiply equation ii by 1

12b + 12g = 504 ....... iii

12b + 15g = 576 ........ iv

Subtract iii from iv

3g = 72

g = 72/3

g = 24

Since b + g = 42

b + 24 = 42

b = 42 - 24.

b = 18

Therefore, number of boys = 18

Number of girls = 24

Does someone mind helping me with this? Thank you!

Does someone mind helping me with this? Thank you!

Answers

-2^2=sqroot(x+2)^2
4-2=x+2-2
2=x
Sqroot(2+2)+2
Sqroot(4)+2
2+2
4

a. What is the nth fraction in the following sequence? 2
1

, 4
1

, 8
1

, 16
1

, 32
1

,… b. What is the sum of the first n of those fractions? To what number is the sum getting closer and closer? Two forces, A=80 N and B=44 N, act in opposite directions on a box, as shown in the diagram. What is the mass of the box (in kg ) if its acceleration is 4 m/s 2
?

Answers

A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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The value of a home increases by 7%each year. Explain why the value of the home doubles approximately once each decade

Answers

The value of a home increases by 7%each year, by compounding the value of the home doubles approximately once each decade.

What is compounding?

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.

It is given by the formula,

A=P(1+r)^t

where A is the value after t period of time,

P is the value of the asset at the beginning, and,

r is the rate of interest.

The value of the home doubles once each decade.

Given to us

The value of a home increases by 7% each year.

As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.

We know the formula of compounding,

A=P(1+r)^t

Why does the value doubles?

Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,

A=P(1+r)^t

Substitute the rate at which the value is increasing,

A=P(1+0.07)^t

We know that in a decade there are 10 years,

A=P(1+0.07)^10=P(1.07)^10

=1.967P

Approximately

=2P

As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.

Hence, the value of the home doubles once each decade.

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find the volume of the solud that results when the region enclosed by y = square root x, y = 0, and x = 9 is revolved about the line x = 9

Answers

The volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9 is 54π/5 cubic units.

To solve this problem

We can use the method of cylindrical shells to find the volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9.

First, we need to find the height of each cylindrical shell. Since we are revolving the region about the line x = 9, the radius of each shell will be 9 - x.

The height of each shell will be the difference between the upper and lower bounds of the region, which is y = √x and y = 0:

height = √x - 0

= √x

So the volume of each cylindrical shell will be:

dV = 2π(9 - x)√x dx

To find the total volume of the solid, we integrate this expression from x = 0 to x = 9:

V = ∫(from 0 to 9) 2π(9 - x)√x dx

We can simplify this integral by making the substitution u = √x, which gives us:

V = 2π∫(from 0 to 3) (9 - u^2)u^2 du

Expanding the integrand and integrating term by term, we get:

V = 2π(27/5 - 9/3)

= 2π(27/5 - 27/9)

= 2π(162/45 - 135/45)

= 54π/5

Therefore, the volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9 is 54π/5 cubic units.

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Which container would most likely have a capacity that is measured in liters? A.Drinking Glass
B.Watering Can
C.Baby Bottle
D.Soup Spoon

Answers

B. A watering can

Have a good day

136 oz is how many pounds
A.6.8 pounds
B.8.5 pounds
C.1088 pounds
D.2,176 pounds​

Answers

Answer:

B 8.5 Pounds

Step-by-step explanation:

I hope this helps!

Answer: 8.5

Step-by-step explanation:

16 ounces is a pound

so we divide 136 by 16 and get 8.5

The expression denotes the z-score with an area of _______ to its right.

Answers

The given expression represents the z-score with an area to its right, indicating the probability of observing a value greater than the z-score.

The z-score, also known as the standard score, measures the distance between a given data point and the mean of a distribution in terms of standard deviations. It is calculated by subtracting the mean from the data point and dividing the result by the standard deviation. The resulting z-score represents the number of standard deviations a data point is away from the mean.

When we refer to the expression denoting the z-score with an area to its right, we are essentially talking about the cumulative probability associated with the z-score. This probability represents the area under the normal distribution curve to the right of the given z-score. In other words, it indicates the likelihood of observing a value greater than the z-score.

By utilizing statistical tables or software, we can determine the exact value of the area or probability associated with a given z-score. This information is useful in various applications, such as hypothesis testing, confidence intervals, and determining percentiles in a distribution. It allows us to make inferences and draw conclusions based on the relative position of a data point within a distribution.

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solve this system using substitution x+5y=-32 y=3x

Answers

\( \huge \colorbox{pink}{Question } \)

solve this system using substitution x+5y=-32 y=3x

Substitute 3x for y in x + 5y = - 32

\(x + 5y = - 32 \\ x + 5(3x) = - 32 \\ x + 15x = - 32 \\ 16x = - 32 \\ \frac{16x}{16} = \frac{ - 32}{16} \\ x = - 2\)

Substitute - 2 for for x in y = 3x

\(y = 3x \\ y = 3( - 2) \\ y = - 6\)

\( \huge \colorbox{pink}{Answer} \)

x = - 2y = - 6

Hope it helps ^_^

What are the vertex, focus, and directrix of the parabola whose equation is y-5= 1/12 (x – 3)2?

Answers

Answer:

Step-by-step explanation:

Use the vertex form, y=a(x−h)2+k y = a ( x - h ) 2 + k , to determine the values of a a , h h , and k k . a=−112 a = - 1 12. h=3 h = 3. k=−2 k = - 2.

How much grain can this container hold?

How much grain can this container hold?

Answers

Answer:

953.78 in³

Step-by-step explanation:

Area of circle = πr²

The area of the base

= 3.14×(9÷2)²

= 63.585 in²

The capacity of the container

= 63.585×15

= 953.775 in³

which of the following statements is true of a continuous probability distribution? a.) all outcomes can be listed. b.) the outcomes can take any value within a given range. c.) the distribution can be described with a table. d.) the outcomes have a finite number of possibilities.

Answers

a continuous probability distribution the outcomes can take any value within a given range.

What is  continuous probability distribution ?A probability distribution where the random variable X can have any value is known as a continuous probability distribution (is continuous). The likelihood of X taking on any one particular value is zero because there are an unlimited number of possible values for it. As a result, we frequently use ranges of values (p(X>0) =.50).In the case of the binomial distribution, as is common knowledge, it is described as the likelihood that a discrete random variable or mass will produce a specific value. The accompanying function is known as a probability mass function, and this distribution is also known as a probability mass distribution.

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Choose A Point Below That Lies On The Function Y+5=-2(X+3)(-3, -5) (3,5) (-2,-3)(-5,3)

Answers

Answer:

(-3, -5)

Explanation:

Given the function:

\(y+5=-2(x+3)\)

First, make y the subject of the equation.

\(y=-2(x+3)-5\)

To choose a point that lies on the line, we test the x-values and see if we get the corresponding y-value.

\(\begin{gathered} \text{ At }x=-3, \\ y=-2\left(-3+3\right)-5 \\ =-2\left(0\right)-5 \\ =0-5 \\ =-5 \end{gathered}\)

Since the y-value corresponds to the point (-3, -5), the point that lies on the function is (-3, -5).

Melissa rented a Segway, a stand up scooter, in downtown Austin, Tx. The store charges a $3.25 initial charge plus $2.50 per mile. Which equation can be used to find y, the total cost of the rental, if x represents the number of miles Melissa rode on the Segway?
pls it has to be like "y=mx+b"

Answers

Answer:

y = x(2.50)+3.25

Step-by-step explanation:

y (total cost )= x (miles rode) * 2.50 (cost per mile) + 3.25 (initial cost)

I’m struggling.help please.

Im struggling.help please.

Answers

Answer:

21,23,25,27,29... and etc

Step-by-step explanation:

13,15,17,19, your going by 2, so.. 21,23,25,27,29. and counties. I don't know how long it goes but there you go hopefully this helps <3.

Answer:

2n + 11

Step-by-step explanation:

2(1) + 11 = 13

2(2) + 11 = 15

2(3) + 11 = 17

the 2 is the constant difference between the first 2 terms.

the numbers in brackets are the term number.

you have to multiply the difference with the term number.

then you will have to take that answer and subtract it from the first term number.

hope it helps xxx

y = x-2
y = 3x+4. Solutions of system of equation

Answers

Answer:

x=-3 and y=-5

Step-by-step explanation:

hope this helps!

Answer:

Y = x-2; y= 3x + 4

Step-by-step explanation:

help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeeeee

Answers

Answer:

39 feet

Step-by-step explanation:

plug in 1.5 into t

Question One:
Zahir bought a house 15 years ago, and it is now valued $548 900.00.
Determine the initial value of the home when Zahir purchased it, if it's value
has grown at a rate of 4.8% compounded annually. (2 marks)
Question Two:
Kiran purchases a sofa for $1791.99 (taxes already included). The
department store offers her a promotion of 0% interest with no payments
for one year. If Kiran does not pay the amount in full within one year,
interest will be charged from the date of purchase at an annual rate of
27.93%, compounded monthly.
a) If Kiran does not make any payments, what will the department store bill
her one year after the date of purchase? Show your work. (2 marks)
b) Describe a different compounding period such that the overall cost of the
sofa is lower than if the annual interest rate were compounded monthly. Use
an example to help your explanation. (2 mark)

Answers

A. Kiran will be billed approximately $2,284.33 one year after the date of purchase if she does not make any payments.

B. In this case, the overall cost of the sofa would be approximately $2,284.08

How to solve the problems

To find the initial value of the home when Zahir purchased it, we can use the compound interest formula:

Future Value = Initial Value * (1 + (interest rate))^years

Let Initial Value be P. We are given the Future Value as $548,900, the interest rate as 4.8%, and the number of years as 15.

548,900 = P * (1 + 0.048)^15

Now, we'll solve for P:

P = 548,900 / (1 + 0.048)^15

P ≈ 305,113.48

a. Future Value = Initial Value * (1 + (interest rate / number of periods))^(years * number of periods)

Initial Value = $1,791.99

Interest Rate = 27.93% (0.2793)

Number of periods = 12 (monthly)

Years = 1

Future Value = 1,791.99 * (1 + (0.2793 / 12))^(1 * 12)

Future Value ≈ 2284.33

Kiran will be billed approximately $2,284.33 one year after the date of purchase if she does not make any payments.

b.  interest were compounded annually:

Future Value = Initial Value * (1 + interest rate)^years

Future Value = 1,791.99 * (1 + 0.2793)^1

Future Value ≈ 2284.08

In this case, the overall cost of the sofa would be approximately $2,284.08, which is slightly lower than if the interest were compounded monthly ($2,284.33).

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Two spheres have volumes of 87 cm³ and 647 cm³. If the surface area of the smaller sphere is 167 cm², what is the
surface area of the larger sphere?
64 cm²
96 cm²
128 cm²
256 cm²

Answers

The surface area of the larger sphere is equal to 636.365 square centimeters.

How to determine the surface area of the sphere by the use of direct variation formulas

In this question we must estimate the surface area of the smaller sphere. By geometry we know that the volume of a sphere is directly proportional to the cube of its radius and the surface area is directly proportional to the square of radius, then the volume to surface area ratio is equal to:

V/A = k · r      (1)

Where:

r - Radiusk - Proportionality constant

Then, we can derive the following relationship between the two spheres by eliminating the proportionality constant:

V/(A · r) = V'/(A' · R)     (2)

Where:

r - Radius of the smaller sphere.R - Radius of the larger sphere.

First, we need to determine the radii of the spheres:

Larger radius

R = ∛(3 · V' / 4π)

R = ∛(3 · 647 / 4π)

R ≈ 5.365 cm

Smaller sphere

r = ∛(3 · V / 4π)

r = ∛(3 · 87 / 4π)

r ≈ 2.749 cm

Lastly, we find the surface area of the larger sphere:

A · r · V' = A' · R · V

A' = (A · r · V') / (R · V)

A' = (167 · 2.749 · 647) / (5.365 · 87)

A' = 636.365 cm²

The surface area of the larger sphere is equal to 636.365 square centimeters.

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Find the output for the graphy = 12x - 8when the input value is 2.y = [?] what is the Greatest Common Factor of (48x^(2)-40x)/(56x) T/F. compound interest is computed on the principal and any interest earned that has not been paid or received Experience and research indicate that high-performance project teams are much more likely to develop under all the following conditions except:Group of answer choicesa. There are 10 or fewer members per team.b. Members are assigned to the project full time.c. team members are selected by their managers.d. Members report directly to the project manager. Join these sentences without using so,and,but.He made us laugh. He told us a funny story.2.He whispered something. It was not audible3.4.He is wealthy. He can easily buy the best car here. B2C customers always see price cuts as positive and price increases as negative. B2B customers also always see prices cuts as positive and price increases as negative. true or false? Find the equation of the quadratic function f whose graph is shown below.(-4,-1)(-3,-3) Help me with this please!!!! Find the value of x.A. 53B. 72C. 39D. 48 What is the number.. There are 3 envelopes.The 1st envelope has two more bills than half the number that are in the 2nd envelope..if you double the number of notes in the 3rd envelope, it would have the same number as the 1st and 2nd together..The 3rd envelope has more than the 1st, but fewer than the 2nd. You should study literature to understand different perspectives about life. true false The picture shows a water fountain in a park. the water follows a path in the shape of a parabola. The equation of the water path is y= -x^2 +4x+2, where y is the height of the water above the pond level and x is the horizontal distance of the water from the fountain outline. Outline 1 A. Topic Sentence: This classroom is too noisy during tests. B. Supporting Ideas 1. 2. 3. 4. C. Clincher: Which language would be most useful to learn for someone interested in studying environmental engineering with an emphasis on the effects of deforestation, such as soil erosion?ArabicChineseFrenchGerman when caring for the client with hepatic failure, the nurse recognizes that which problem places the client at increased risk for bleeding? Sumerians believed that the gods protected their cities as long as the people __________.A.paid tributeB.obeyed the kingC.prayed in the templeD.constructed monuments 2-47 Tax Effects, Multiple Choice(CMA.) Study Appendix 2B. DisKing Company is a wholesaler forvideo tapes. The pro-jected after-tax net income for the current year is $120,000based on a sales volu Mars orbits the sun at less then 60% of the speed of earth. True or false? an office building is rented at $25psf, gross with operating expenses at $10psf. net income therefore is $15psf. if the purchase price is $250psf the going in cash-on-cash return is 6.0%. prepare a sensitivity analysis showing the cash-on-cash returns by changing the rental rate and operating expenses. 1. prepare the analysis showing variations $1psf changes in both variable for two adjustments in each direction (increased or decreased) Complete the sentence1. The house would have been completely demolished.2. The swimming would have been more enjoyable if. 3. We would not have been late if.4. The business would have prospered if. 5. We would have won our freedom sooner if.1. If Luisa had eaten less,2. If Joanne had watered the plants,3. If Shiela had gone home early,4. If cooler heads had not intervened,5. If conditions had not been