I need help please :(

I Need Help Please :(

Answers

Answer 1

Answer:

[tex] 5^{-3} = \dfrac{1}{125} [/tex]

Step-by-step explanation:

Rule of negative exponents:

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

This problem:

[tex] 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} [/tex]

Answer 2

Answer:

[tex]\boxed{\frac{1}{125}}[/tex]

Step-by-step explanation:

[tex]5^{-3}[/tex]

Apply rule:

[tex]\displaystyle a^{-b}=\frac{1}{a^b}[/tex]

[tex]\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}[/tex]


Related Questions

To get from home to work, Felix can either take a bike path through the rectangular park or ride his bike along two sides of the park. How much farther would Felix travel by riding along two sides of the park than he would by taking the path through the park?

Answers

Answer:

c=5.9/6(G)

Step-by-step explanation:

first find the 2 distances.

a^2+b^2=c^2                    c=2.4+.7              

7^2+2.4^2=c^2                  c=3.1

.49+5.85=c^2                    

c^2=6.34

c=√6.34

c=2.51.

next subtract the two distances to find the difference.

c=2.51-3.1

c=.59

so the distance would be .59 which can be rounded up to .60/G

explanation on how I knew the answer.

Im reviewing for the math 8th grade staar.

3.3. (08.01 LC) Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. (4 points) . 4. (08.01 MC) Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? (4 points)

Answers

Answer:

1. C = 10π, A = 25π

2. 9 cm³

Step-by-step explanation:

Formula for circumference = πd

Formula for area of a circle = πr²

1. Set up the equation for circumference

10π

2. Set up the equation for area (radius = 1/2diameter) and solve

π(5²) = 25π

Formula for volume of a square pyramid = 1/3 · h

The volume of a square pyramid is equal to 1/3 of the volume of a cube. The formula for a volume of a cube is s³ which is equal to s² · h because a cube has the same side length for all sides. Therefore, the volume of a square pyramid that perfectly fits within a given cube would equal 1/3 the volume of the cube.

1. Set up the equation and solve

27 ÷ 3 = 9

Answer:

            3.  The fourth:  C= 10π,  A = 25π             4.   The third:  9 cm³

Step-by-step explanation:

3.

diameter is equal two radiuses

D = 10 = 2R   ⇒  R = 5

circumference:  C = 2πR = 2R•π = 10π

area:                    A = πR² = π•5² = 25π

4.

If square pyramid fit perfectly inside cube then its base is the same as a face of cube, and the height (H) of pyramid is equal to the edge (S) of its base.

[tex]A_p=\frac13S^2\cdot H =\frac13S^2\cdot S=\frac13S^3=\frac13A_c=\frac13\cdot27\,cm^3=9\,cm^3[/tex]

prove the following​

Answers

Answer:

Step-by-step explanation:

sin(180°-∅)=sin∅ as its in the 2nd quadrant

then tan(180°-∅)= -tan∅ as its in the 2nd quadrant and there only sin and cosec is positive and at last cos(180°-∅) = -cos∅ for the same reason

so by putting the values:

sin∅/sin∅ + -tan∅/tan∅ + -cos∅/cos∅ =1-1-1= -1

thanks ..

A weather balloon holds 2,600 cubic meters of helium. The density of helium is 0.1755 kilograms per cubic meter. How many kilograms of helium does the balloon contain?

Answers

Answer:

The balloon contains 456.3 kg of helium

Step-by-step explanation:

Density=mass / volume

Volume=2600 cubic meters of helium

Density=0.1755 kilograms per cubic meters

Mass=x

Find mass, x

Density=mass / volume

Mass=Density × volume

=0.1755 * 2600

=456.3 kg

The balloon contains 456.3 kg of helium

what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6

Answers

[tex]\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4[/tex]

You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in the drawing.b. A sofa in the room has a length of 6 feet.Find the length of the sofa in thedrawing.c. You want to enlarge the scale drawing.How would you change the scale todouble the dimensions of the drawing?Explain.

Answers

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = [tex]\frac{length on a drawing}{actual length}[/tex]

 scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

[tex]\frac{14}{4}[/tex] = 3.5 inches

[tex]\frac{18}{4}[/tex] = 4.5 inches

Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

[tex]\frac{6}{4}[/tex] = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

Evaluate the following expression. −8 × (−10) −7× 1/−1

Answers

Answer:

87

Step-by-step explanation:

[tex]-8\left(-10\right)-7 \times \frac{1}{-1}=87\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=8\times \:10-7\times \frac{1}{-1}\\\\8\times \:10=80\\\\7\times \frac{1}{-1}=-7\\\\=80-\left(-7\right)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=80+7\\\\=87[/tex]

Please helpppp anyone fast

Answers

Answer:

2, 3, 4

Step-by-step explanation:

Since the question is asking which of the following are functions, lets define what it is first

Function: An equation for one answer for y for every x

This means that every x coordinate can have a y, but multiple x coordinates can have the same y coordinate

Because of this it has to be every one of them except the first one

A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?

Answers

Answer:

1/2 a minute (30 seconds)

Step-by-step explanation:

475/50=9.5

450/50=9

9-9.5=.5

the product of a number and five is eight

Answers

Answer:

Assuming x is the number, then [tex]x=1.6[/tex]

Step-by-step explanation:

If the product of a number and 5 is 8, the equation becomes:

[tex]5x=8[/tex] (assuming x is the unknown number).

We can isolate the variable x by dividing both sides by 5.

[tex]5x\div5 = 8\div5\\x = 1.6[/tex]

Hope this helped!

is the sum of any two numbers is greater than the larger of the two numbers?

Answers

Answer: Yes the sum of any two numbers is greater than the larger of the two numbers.

Step-by-step explanation:

Yes the sum of any two numbers is greater than the larger of the two numbers.

Let us assume that the two numbers are a and b and ab is the number.

a + b > a

b > a – a

b > 0

This therefore implies that b > 0.

This may however not be true when the value of b is zero(0) or a negative number.

A group of 22 students participated in a math competition

Answers

What is the question now??

In a family with ​children, the probability that all the children are girls is appoximately . In a random sample of 1000 families with ​children, what is the approximate probability that or fewer will have ​girls? Approximate a binomial distribution with a normal distribution.

Answers

Answer:

The probability that 100 or fewer will have 3 ​girls is 0.00734.

Step-by-step explanation:

The complete question is:

In a family with ​3 children, the probability that all the children are girls is approximately 0.125. In a random sample of 1000 families with ​3 children, what is the approximate probability that 100 or fewer will have 3 ​girls? Approximate a binomial distribution with a normal distribution.

Solution:

Let X represent the number of families who has 3 girls.

The random variable X follows a Binomial distribution with parameters n = 1000 and p = 0.125.

But the sample selected is too large.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 [tex]np=1000\times 0.125=125>10\\\\n(1-p)=1000\times (1-0.125)=875>10[/tex]

Thus, a Normal approximation to binomial can be applied.

So,  [tex]X\sim N(\mu=np,\sigma^{2}=np(1-p))[/tex]

The mean and standard deviation are:

[tex]\mu=np=1000\times 0.125=125\\\\\sigma=\sqrt{np(1-p)}=\sqrt{1000\times 0.125\times (1-0.125)}=10.46[/tex]

Compute the probability that 100 or fewer will have 3 ​girls as follows:

Apply Continuity correction:

[tex]P(X\leq 100)=P(X<100-0.50)[/tex]

                  [tex]=P(X<99.50)\\\\=P(\frac{X-\mu}{\sigma}<\frac{99.5-125}{10.46})\\\\=P(Z<-2.44)\\\\=0.00734[/tex]

*Use a z-table.

Thus, the probability that 100 or fewer will have 3 ​girls is 0.00734.

Which equation does the graph of the systems of equations solve? 2 linear graphs. They intersect at 1,4

Answers

Answer:

See below.

Step-by-step explanation:

There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.

The distance of planet Mercury from the Sun is approximately 5.8. 107 kilometers, and the distance of planet Venus from the Sun is 1.1. 10 kilometers. About how many more kilometers is the
distance of Venus from the Sun than the distance of Mercury from the Sun?

Answers

Answer:

I would say about 5 times but I am not sure so if it is wrong am sorry.

A to the power of 6 = a to he power 2

Answers

Answer:

a = 0, i, -i, 1, -1

Step-by-step explanation:

What we're basically looking for here is a number, that when multiplied by itself any amount of times, will get us with the same number.

We know that 0 times and number will be 0, so 0 works.

1 times any number will be 1, and -1 would also work as -1² = 1.

i would also work as it represents the square root of a negative, and -i would also work.

Hope this helped!

yoyoyo pls help with math

Answers

Answer:

C

Step-by-step explanation:

Calculate the ratio of corresponding sides, image to preimage, that is

scale factor = [tex]\frac{DE}{AB}[/tex] = [tex]\frac{14}{35}[/tex] = [tex]\frac{2}{5}[/tex] → C

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about
triangles.
9 in
9 in.
Xin
6 in

Answers

Answer:

8.5

Step-by-step explanation:

Applying pythagora's theorem,

hypotenuse^2 = opposite^2 + adjacent^2

but, hypotenuse = 9

opposite = X

adjacent = 1/2(base of triangle)= 1/2(6)

adjacent = 3

9^2 = X^2 + 3^2

X^2 = 81 - 9

X^2 = 72

X = 8.5

Porfavor resolv erme esas preguntas o una :v porfis .El salón de mi clase de matemáticas mide 700 m2, cuánto mide 1/4 del salón? Cuánto mide 3/4 del salón? . Cuántos minutos son 3/5 de media hora? . Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared, cuánta pintura necesitaremos? . Si se necesitan 2/5 de naranja para hacer un vaso de jugo de naranja, cuántas naranjas necesitas para hacer 2 vasos y medio?

Answers

Answer:

Explained below.

Step-by-step explanation:

The question is:

Please answer me these questions or one: v please. My math class room is 700 m2, how much is 1/4 of the room? How long is 3/4 of the room? . How many minutes is 3/5 of a half hour? . It takes 4/7 of a liter of paint to paint a square meter of wall, if we want to paint 2/5 of a square meter of wall, how much paint will we need? . If it takes 2/5 of an orange to make a glass of orange juice, how many oranges do you need to make 2 and a half glasses?

(1)

Compute 1/4th of the math class room as follows:

[tex]=700\times\frac{1}{4}\\=175[/tex]

Thus, 1/4th of the math class room is 175 m².

(2)

Compute 3/4th of the math class room as follows:

[tex]=700\times\frac{3}{4}\\=525[/tex]

Thus, 3/4th of the math class room is 525 m².

(3)

Compute 3/5th of half an hour as follows:

[tex]=30\times \frac{3}[5}\\=18[/tex]

Thus, 3/5th of half an hour is 18 minutes.

(4)

A square meter of wall required 4/7 liter of paint.

Then 2/5 of a square meter will require,

[tex]=\frac{4}{7}\times \frac{2}{5}\\\\=\frac{8}{35}[/tex]

Thus, 8/35 liter of paint will be used to pain /5 of a square meter of the wall.

(5)

1 glass of orange juice can be made using 2/5 of an orange.

Then 2 and half glass will require,

[tex]=\frac{2}{5}\times 2\frac{1}{2}\\\\=\frac{2}{5}\times \frac{5}{2}\\\\=1[/tex]

Thus, 1 orange will be required to make 2 and half glass of orange juice.

The pepper plant has \dfrac{2}{3} 3 2 ​ start fraction, 2, divided by, 3, end fraction as many fruits on it as the tomato plant has. The tomato plant has 999 fruits on it.

Answers

Answer:

6 pepper fruits

Step-by-step explanation:

Given the following :

Fraction of pepper in terms of tomato = 2/3

Number of fruits on pepper plant = 9

Therefore number of pepper fruits on pepper plant:

2/3 * number of tomato fruits

2/3 * 9

(2 * 3) = 6

6 pepper fruits.

Find the distance across the lake. Assume the triangles are similar.
85 m
X
у
20 m
60 m

Answers

Answer:

B. 255 m

Step-by-step explanation:

use similar triangle

L / 60 = 85 / 20

L = (85 * 60) / 20

L = 255 m

The distance across the lake will be 255 meters. Then the correct option is B.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

In an isosceles triangle, two angles and their opposite sides are equal.

The dimensions of the first triangle are L, 85, and y. And the dimensions of the second triangle are 60, 20, and x.

It is given that the triangles are similar.

Then the ratio of their corresponding sides will be

L / 60 = 85 / 20 = x / y

From first two terms, then the equation will be

L / 60 = 85 / 20

L / 60 = 4.25

       L = 4.25 x 60

       L = 255 m

The distance across the lake will be 255 meters.

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Jack is 10 years old.
Kylie is 17 years old.
Vanessa is 23 years old.
Kylie and Vanessa share £16 in the ratio of their ages.
Kylie gives 20% of her share to Jack.
Vanessa gives a quarter of her share to Jack.
How much money does Jack receive?
plz answer me step by step plzz plz ​

Answers

Answer:

3.66

Step-by-step explanation:

calculate their shares and then add the amount they gave to Jack

What is the scale factor in the dilation?
Answer Choices
2/5
1/2
2
2 1/2

Answers

i think it is the answer is 2/5

Answer:

either 2 or 2 1/2

Step-by-step explanation:

Since the pre-image gets bigger, the scale factor is larger than 1.

Question 3 Multiple Choice Worth 2 points)
04.04
The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win today for the team to have a 75%
Success rate?
8
10
12
15

Answers

Answer:

Total number of matches need to win = 15

Step-by-step explanation:

Given:

Total number of race completed = 45

Total races win = 30

Success rate = 75% = 0.75

Find:

Total number of matches need to win

Computation:

Assume, extra number of matches = y

Extra number of win matches = x

So,

(30 + x) / (45 + y) = 0.75

Assume y = x

So,

(30 + x) / (45 + x) = 0.75

30 + x = 33.75 + 0.75 x

x = 15

Total number of matches need to win = 15

2 pts Question 1 Write an expression to model the phrase: Myles has $635 and is earning $120 each week as a lifeguard. (Use x as your variable) 2 pts Wuestion 2​

Answers

Answer:

The equation is y= 120x+ 635

Step-by-step explanation:

Hey there!!!,

in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line

i.e y= mx+c

From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.

Comparing the statement withe equation of line we have

  y= 120x+ 635

as "x" is the number of weeks worked and $635 is the constant amount at hand.

Should you need further clarification on this, let me know

Between which two integers does square root of /500 lie?

Answers

Answer:

22 and 23

Step-by-step explanation:

Step 1: Solve the square root

[tex] \sqrt{100 \times 5} [/tex]

[tex] \sqrt{ {10}^{2} \times 5 } [/tex]

We can move the 10² out because it matches the index of the root

[tex]10 \sqrt{5} [/tex]

Step 2: Input into calculator to find decimals

[tex]10 \sqrt{5} = 22.36[/tex]

Therefore the square root of 500 lies between 22 and 23

22 and 23

Because 5000 is between 222

(484) and 232 (529), the square root of 500 is in between 22 and 23..

A room in the shape of a cube has a floor area of 20.25 square metre what is its height ? what is its volume ? ​

Answers

Answer:

Height= 4.5 Volume= 91.125

Step-by-step explanation:

Height. Is the square root of the floor area = 4.5 volume is this length cubed = 91.125

After Marshall's alarm went off, he spent 3/4 hr getting ready for school. He walked 1/6 hr to the bus stop, waited 1/12 hr, rode1/4 hr, and arrived at school at 8:30 A.M..What time did his alarm go off?

Answers

Answer:

7:15 am

Step-by-step explanation:

1. Add the times together by finding a common denominator

3/4 = 9/12

1/6 = 2/12

1/12 = 1/12

1/4 = 3/12

9/12 + 2/12 + 1/12 + 3/12 = 15/12

It took him 15/12 of an hour in total.

2. Convert to hours

15/12 = 1 3/12

3/12 = 1/4

1/4 of an hour is 15 minutes.

I took him a total of 1 hour and 15 minutes.

3. Subtract 1 hour and 15 minutes from 8:30

8:30 - 1:15 = 7:15

Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives the number of servings of each beverage sold in a day.

Answers

Answer:

[tex]C. \left[\begin{array}{c}370\\228.5\\332\end{array}\right][/tex]

Step-by-step explanation:

Given the table of values for number of servings:

[tex]\begin{center}\begin{tabular}{ c c c c} & Small & Medium & Large\\ Cappuccino & 70 & 55 & 62 \\ Mocha & 42 & 34 & 39 \\ Latte & 59 & 63 & 47 \\ \end{tabular}\end{center}[/tex]

Cost of each coffee for a particular serving is same.

Cost of small serving = $1.50

Cost of medium serving = $2

Cost of large serving = $2.50

To find:

Matrix of revenue generated from sales of each coffee.

Solution:

Revenue generated by a particular coffee = Sum of (cost of each serving multiplied by number of particular servings)

So, revenue by Cappuccino = [tex]70 \times 1.5 +55 \times 2 + 62 \times 2.5 = \bold{\$370}[/tex]

So, revenue by Mocha = [tex]42\times 1.5 +34 \times 2 + 39 \times 2.5 = \bold{\$228.5}[/tex]

So, revenue by Latte = [tex]59\times 1.5 +63\times 2 + 47 \times 2.5 = \bold{\$332}[/tex]

So, the correct answer is:

[tex]C. \left[\begin{array}{c}370\\228.5\\332\end{array}\right][/tex]



While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top of the lighthouse is 48°

What can you conclude about the height of the lighthouse, with respect to Jacob's distance from the lighthouse? Explain your answer.

Answers

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

      = 150 × 1.1106

     = 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

Answer:

The height of the lighthouse is approximately 42.

Step-by-step explanation:

This situation forms a right triangle so the angles would be 90 and 48

90+48+x=180

138+x=180

x=180-138

x=42

Other Questions
ADORead this excerpt from the Declaration of Independence."Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains themto alter their former Systems of Government. The history of the present King of Great Britain is a history ofrepeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over theseStates."Which statement best describes the excerpt?This is the minor premise of the Declaration of Independence.This is the major premise of the Declaration of Independence.This is the evidence presented in the Declaration of Independence,This is the conclusion of the Declaration of Independence. In a random sample of 64 people, 48 are classified as 'successful.' Determine the sample proportion of 'successful' people. Bob is 1 foot taller than Jill. Observation or Inference? To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the alphaequals0.10 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.Height of Father Height of Son72.4 77.570.6 74.173.1 75.669.9 71.769.4 70.569.4 69.968.1 68.268.9 68.270.5 69.369.4 67.769.5 6767.2 63.770.4 65.5Which conditions must be met by the sample for this test? Select all that apply.A. The sample size is no more than 5% of the population size.B. The differences are normally distributed or the sample size is large.C. The sample size must be large.D. The sampling method results in a dependent sample.E. The sampling method results in an independent sample.Write the hypotheses for the test. UpperH 0 :H 1 :Calculate the test statistic. t 0=? (Round to two decimal places as needed.)Calculate the P-value. P-value=?(Round to three decimal places as needed.) Should the null hypothesis be rejected? Do not reject or Reject Upper H 0 because the P-value is less than or greater than the level of significance. There is or is not sufficient evidence to conclude that sons are the same height or are shorter than or are taller than or are not the same height as their fathers at the 0.10 level of significance. Click to select your answer(s). What is the maximum speed (in units of m/s) with which a car can round aflat horizontal curve of radius (r=60 m), if the coefficient of static friction between tires androad is (0.4)?A) 5B) 15.5) 240D) 25.1 Use the model below to find the area of the shaded region. You hold a diversified $100,000 portfolio consisting of 20 stocks with $5,000 invested in each. The portfolio's beta is 1.12. You plan to sell a stock with b = 0.90 and use the proceeds to buy a new stock with b = 1.50. What will the portfolio's new beta be? Do not round your intermediate calculations. Which of the following accurately describes this element? Jiminys Cricket Farm issued a bond with 30 years to maturity and a semiannual coupon rate of 4 percent 2 years ago. The bond currently sells for 107 percent of its face value. The companys tax rate is 21 percent. The book value of the debt issue is $60 million. In addition, the company has a second debt issue on the market, a zero coupon bond with 10 years left to maturity; the book value of this issue is $35 million, and the bonds sell for 76 percent of par.Required:a. What is the companys total book value of debt? b. What is the companys total market value of debt?c. What is your best estimate of the aftertax cost of debt? Based on the myths, what are the values of both the Haida and the Mori? Check all that apply. PLEASE help me with this question. This is really URGENT A history professor decides to give a 12-question true-false quiz. 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HPV C. Gonorrhea D. HIV/AIDS 3. a. Simplify (2x + y) (x-7)b. Find the truth set of 2x-3 +3 = -1 PLEASE ANSWER QUICKLY ASAP ANSWER QUESTION A Find an equation for the line tangent to the curve at the point defined by the given value of dy/dx. At this point. x = 2 cos t, y = 2 sin t, t=/4 Land is purchased for $256,000. Additional costs include a $15,300 fee to a broker, a survey fee of $2,400, $1,750 to construct a fence, and a legal fee of $8,500. What is the cost of the land