Giving brainlist SO PLZ HELP

Shawn owns a lemonade stand and is trying to calculate his earnings. The problem is that his little brother keeps giving away cups of lemonade to his friends. Every time he does this, Shawn loses money. Each cup of lemonade costs Shawn $0.30 to make, and he sells them for $1.25 each. Last week, Shawn’s brother gave away 12 cups of lemonade.

Last week Shawn sold 26 cups of lemonade. What was his total profit based on how many cups he sold and his brother gave away?

A. $40.30

B. $13.40

C. $1.55

D. $0.95

Answers

Answer 1

Answer:A

Step-by-step explanation: I dont known


Related Questions

If 8x−5y=−8 is a true equation, what would be the value of −5y+8x?

Answers

Answer:

-8

Step-by-step explanation:

8x-5y and -5y+8x is the same equation just with the terms ordered differently so both equations equal -8.

I'd enjoy a Brainliest if you think this answer is good enough for one.

Answer:

-5y+8x

Step-by-step explanation:

Nothing would change as this question isnt like 8x−5y=−8

The value of y varies directly with x. When y = 1.5, x = 5. What is the value of y when x is 30?

Answers

variables y = 1.5, x = 5, hence, the value of y is 9 when x is 30

How are linear equations solved?

Two variables, such as x and y, are proportional to one another and their ratio is constant when they vary directly. In other words, if y and x vary directly, their relationship can be written as y = kx, where k is the proportionality constant. With the knowledge that y = 1.5 when x = 5 as provided, we can utilise this information to find the value of y when x equals 30:

1.5 = k(5) \sk = 1.5/5 \sk = 0.3

We can use the equation y = kx to get the value of y for x = 30 now that we know the value of k:

y = 0.3(30) \sy = 9

Hence, the value of y is 9 when x is 30.

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Lily sold 18 items at the street fair. she sold bracelets for $6 each and necklaces for $5 each for a total of $101. which system of equations can be used to find b, the number of bracelets she sold, and n, the number of necklaces she sold? b n = 101 6b 5n = 18 b n = 101 5b 6n = 18 b n = 18 6b 5n = 101 b n = 18 5b 6n = 101

Answers

Answer:

\(b + n = 18\)

\(6b + 5n = 101\)

a researcher constructs a confidence interval for a population proportion using a sample of size 50. the value of p-hat is .3, and the resulting confidence interval is determined to be (.1323, .4677). what's the level of confidence for this interval?

Answers

The level of confidence for the given confidence interval is 95% and z-score is 1.96.The calculation involves using the formula for the confidence interval and the given sample proportion and size.

We can use the formula for the confidence interval for a population proportion:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))

Where p-hat is the sample proportion, z is the z-score for the desired level of confidence, and n is the sample size.

We're given that p-hat = 0.3 and n = 50. We're also given that the confidence interval is (.1323, .4677), which means that:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n)) = (.1323, .4677)

We can use the midpoint of the confidence interval as the point estimate for p-hat, which is (0.1323 + 0.4677) / 2 = 0.3.

Substituting the values we have into the equation, we get:

0.3 ± z*(sqrt(0.3*(1-0.3)/50)) = (.1323, .4677)

Simplifying the equation, we get:

z = 1.96

Therefore, the level of confidence for this interval is 95%, since the z-score for a 95% confidence level is 1.96.

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let x be the value of the first die and y the sum of the values when two dice are rolled. compute the joint moment generating function of x and y

Answers

T he joint moment generating function of x and y is M(t1, t2) = (1/36)Σx=1^6Σz=1^6 e^(t1x + t2z)

Let X be the value of the first die, which takes on values {1, 2, 3, 4, 5, 6} with equal probability of 1/6 each. Let Y be the sum of the values of two dice, so Y takes on values {2, 3, ..., 12}.

The joint moment generating function of X and Y is given by:

M(t1, t2) = E[e^(t1X + t2Y)]

To compute this, we can use the law of total probability and conditioning on the value of X:

M(t1, t2) = E[e^(t1X + t2Y)]

= Σx P(X=x) E[e^(t1X + t2Y) | X=x]

= (1/6)Σx=1^6 E[e^(t1x + t2Y) | X=x]

Now we need to compute E[e^(t1x + t2Y) | X=x]. We can use the fact that the sum of two dice is the sum of two independent uniform random variables on {1, 2, 3, 4, 5, 6}:

E[e^(t1x + t2Y) | X=x] = E[e^(t1x + t2(x+Z))]

= E[e^(tx) e^(t2Z)]

= MZ(t2) e^(tx)

where Z is a uniform random variable on {1, 2, 3, 4, 5, 6} and MZ(t2) is its moment generating function, which is:

MZ(t2) = E[e^(t2Z)]

= (1/6)Σz=1^6 e^(t2z)

Substituting this back into the expression for M(t1, t2), we get:

M(t1, t2) = (1/6)Σx=1^6 E[e^(t1x + t2Y) | X=x]

= (1/6)Σx=1^6 MZ(t2) e^(tx)

= (1/6)Σx=1^6 [(1/6)Σz=1^6 e^(t2z)] e^(tx)

Simplifying the expression, we get:

M(t1, t2) = (1/36)Σx=1^6Σz=1^6 e^(t1x + t2z)

This is the joint moment generating function of X and Y.

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10. The second term of an arithmetic sequence is az = 24. The common difference
is d = -3. Find the first term of the sequence.

Answers

The first term of the arithmetic sequence is 27.

What is Arithmetic Sequence?

Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.

Given that,

Second term of arithmetic sequence, a₂ = 24

Common difference, d = -3

Now, common difference is the difference of the two consecutive terms.

a₂ - a₁ = d

24 - a₁ = -3

-a₁ = -3 - 24

-a₁ = -27

a₁ = 27

Hence the first term is 27 for the sequence.

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Your grandmother iust gave you $7,000. You'd like to see how much it might grow if you invest it. a. calculate the future value of $7,000, given that it will be invested for five years at an annual interest rate of 6 percent b. Re-calculate part a using a compounding period that is 1) semiannual and 2) bimonthly

Answers

Answer:  the future value of $7,000, given that it will be invested for five years at an annual interest rate of 6 percent, would be approximately:

a. $8,677.10 when compounded annually.
b. $8,774.04 when compounded semiannually.
c. $8,802.77 when compounded bimonthly.

To calculate the future value of $7,000, we need to use the formula for compound interest:

Future Value = Principal * (1 + Rate/Compounding Period)^(Compounding Period * Time)

a. For the first part of the question, we need to calculate the future value of $7,000 when invested for five years at an annual interest rate of 6 percent. Since the interest is compounded annually, the compounding period is 1 year.

Using the formula, we have:

Future Value = $7,000 * (1 + 0.06/1)^(1 * 5)

Simplifying this calculation:

Future Value = $7,000 * (1 + 0.06)^5

Future Value = $7,000 * (1.06)^5

Future Value ≈ $8,677.10

b. For the second part, we need to recalculate the future value using different compounding periods:

1) Semiannually:
In this case, the compounding period is 0.5 years. Using the formula:

Future Value = $7,000 * (1 + 0.06/0.5)^(0.5 * 5)

Simplifying this calculation:

Future Value = $7,000 * (1 + 0.12)^2.5

Future Value ≈ $8,774.04

2) Bimonthly:
In this case, the compounding period is 1/6 years (since there are 12 months in a year and 2 months in each compounding period). Using the formula:

Future Value = $7,000 * (1 + 0.06/1/6)^(1/6 * 5)

Simplifying this calculation:

Future Value = $7,000 * (1 + 0.36)^5/6

Future Value ≈ $8,802.77

So, the future value of $7,000, given that it will be invested for five years at an annual interest rate of 6 percent, would be approximately:

a. $8,677.10 when compounded annually.
b. $8,774.04 when compounded semiannually.
c. $8,802.77 when compounded bimonthly.

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2 times what gives you 16

Answers

Answer:

8

Step-by-step explanation:

2x = 16

2x/2 = 16/2

x = 8

Answer:

2 time 4 gives you 16

plz check

the width of a rectangle is 4cm less than the width. write a simplified expression to represent the area of the rectangle

Answers

Answer:

Area = x^2 + 4x

Step-by-step explanation:

Width: x

Length x + 4

Area = x (x + 4)

A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent?

Answers

The price at which they will sell the car is $34.30.

What is the selling price?

A discount reduces the carrying value of the model car. If the price of the car is discounted by 5% everyday, it means that the car decreases at an exponential rate. When there is an exponential decrease, the value of the car falls faster with the passage of time.

Exponential functions have this form \(e^{x}\)

Where:

x = the variable e = constant

The formula that can be used to determine the price at which they will sell the car is:

Selling price = initial value x (1 - discount rate)^number of days

$40 x (1 - 0.05)^3

$40 x 0.95^3 = $34.30

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Select the correct answer.
What are the solutions to this quadratic equation?

Select the correct answer.What are the solutions to this quadratic equation?

Answers

Answer:

B. 4 - 2√10

Step-by-step explanation:

This is the value of x when you plug it into the equation.
Hope this helped!

Find the interest on the following loan. $6000 at 8% for 6 months Find the future value of the loan. Assume 365 days in a year. $9275 at 7.57% annual simple interest for 13 months

Answers

The future value of the loan is approximately $10,070.29.

To find the interest on the loan, we can use the formula:Interest = Principal × Rate × Time

Given:

Principal (P) = $6000

Rate (R) = 8% per year (0.08 as a decimal)

Time (T) = 6 months (0.5 years)

Plugging in the values into the formula:

Interest = $6000 × 0.08 × 0.5 = $240

Therefore, the interest on the loan is $240.

To find the future value of the loan, we can use the formula for simple interest:

Future Value = Principal + Interest

Given:

Principal (P) = $6000

Interest = $240

Plugging in the values into the formula:

Future Value = $6000 + $240 = $6240

Therefore, the future value of the loan is $6240.

For the second scenario:

Given:

Principal (P) = $9275

Rate (R) = 7.57% per year (0.0757 as a decimal)

Time (T) = 13 months (13/12 years)

To find the interest, we can use the same formula:

Interest = Principal × Rate × Time

Plugging in the values into the formula:

Interest = $9275 × 0.0757 × (13/12) = $795.29

Therefore, the interest on the loan is approximately $795.29.

To find the future value of the loan, we can use the same formula as before:

Future Value = Principal + Interest

Plugging in the values into the formula:

Future Value = $9275 + $795.29 = $10,070.29

Therefore, the future value of the loan is approximately $10,070.29.

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PLS HELPPPPPP
Simplify:

PLS HELPPPPPPSimplify:

Answers

The simplified form of 4\(\sqrt[4]{6a}\) - 3\(\sqrt[4]{6a}\) is \(\sqrt[4]{6a}\)

What is surd?

Surds are the square roots of irrational numbers.

They usually have the square roots signs in them. Examples of surds are the square roots of prime numbers.

\(4\sqrt[4]{6a} - 3\sqrt[4]{6a}\)

Since the surds are the same, we factorize

\(\sqrt[4]{6a}(4 - 3)\)

= \(\sqrt[4]{6a}(1)\)

= \(\sqrt[4]{6a}\)

In conclusion, the simplified form of the surd is \(\sqrt[4]{6a}\)

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A large population has mean 100 and standard deviation 16. What is the probability that the sample mean will be within plusminus 2 of the population mean if the sample size is n = 100? What is the probability that the sample mean will be within plusminus 2 of the population mean if the sample size is n = 400? What is the advantage of a larger sample size?

Answers

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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A ABC is an isosceles triangle. Z A is the vertex angle, AB = 4x – 14
and AC = x + 10. Find the length of one of the legs.
The length of one of the legs is ...

Answers

Answer:

BC=AB

Step-by-step explanation:

This triangle is isosceles that it means has two equal ribs. BC=AB so BC= 4x-14. I think it is in the right form. It depends on how you named the triangle. The important thing is that two equal ribs are those ribs that are in front not the base.

If you write the function as a sequence, what would be the
common difference?
Destinee inherited a book of stamps from her grandmother.
She adds new stamps to the book every year. The total
number of stamps in the book is a function of the number of
years since Destinee started adding to it. The function is
linear
Enter the answer in the box.
Here are some ordered pairs in the function.
d =
{(2,213), (4,219), (7,228)}

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The common difference of an arithmetic sequence is the slope of the equation that describes it. The slope formula is useful in this case:

  m = (y2 -y1)/(x2 -x1)

  m = (219 -213)/(4 -2) = 6/2 = 3

The common difference of the corresponding arithmetic sequence is 3.

A $0.25 \mathrm{~kg}$ stone is held $11 \mathrm{~m}$ above the top edge of a water well and then dropped in. The well has a depth of $7.3 \mathrm{~m}$. Taking $y=0$ at the top edge of the well, calculate
(a) the gravitational potential energy of the stone-Earth system before the stone is released
(b) the gravitational potential energy of the stone-Earth system after the stone reaches the bottom of the well
(c) the change in gravitational potential energy of the system from when the stone is released to when it reaches the bottom of the well.

Answers

The gravitational potential energy of the stone-Earth system can be calculated before the stone is released, after it reaches the bottom of the well, and the change in gravitational potential energy during the process.

Gravitational potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

(a) Before the stone is released, it is held 11 m above the top edge of the well. The mass of the stone is 0.25 kg, and the acceleration due to gravity is approximately 9.8 m/s². Using the formula, the gravitational potential energy is calculated as PE = (0.25 kg)(9.8 m/s²)(11 m).

(b) After the stone reaches the bottom of the well, its height is 7.3 m. Using the same formula, the gravitational potential energy at this point is given by PE = (0.25 kg)(9.8 m/s²)(7.3 m).

(c) The change in gravitational potential energy can be determined by subtracting the initial potential energy from the final potential energy. The change in gravitational potential energy is equal to the gravitational potential energy after reaching the bottom of the well minus the gravitational potential energy before the stone was released.

By calculating these values, we can determine the specific numerical values for (a), (b), and (c) based on the given data.

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m∠ABDm, angle, A, B, D is a straight angle.





=
2

+
5
0

m∠ABC=2x+50

m, angle, A, B, C, equals, 2, x, plus, 50, degrees





=
6

+
2

m∠CBD=6x+2

m, angle, C, B, D, equals, 6, x, plus, 2, degrees
Find





m∠CBDm, angle, C, B, D:

Answers

Answer: m∠CBD = 98°

Step-by-step explanation:

Angles L and K are alternate interior angles. The measure of L is 150°. What is mK?
A. 30°
B. 40°
C. 150°
D. 180°

Answers

Solution:

Note that:

Alternate inner angles are always equal.∠L = 150°∠L = ∠K

Looking at the notes, we can conclude that ∠K measures 150° because of the equation (∠L = ∠K).

Hoped this helped!

m<k be x.

Alternative angles have sum 180°

\(\\ \rm\hookrightarrow 150+x=180\)

\(\\ \rm\hookrightarrow x=180-150\)

\(\\ \rm\hookrightarrow x=30\)

Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter and base measure of the circle and triangle respectively is 6 feet. The triangle has a height of 3 feet. The square has sides measuring 2 feet. area: ft²

Answers

The total area of the figure in this problem is given as follows:

41.3 ft².

How to obtain the area of the composite figure?

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Triangle of base 6 feet and height 3 feet.Semicircle of radius 3 feet.Square of side length 2 feet.

Then the area of the triangle is given as follows:

At = 0.5 x 6 x 3 = 9 ft².

The area of the semicircle is given as follows:

Ac = π x 3² = 28.3 ft².

The area of the square is given as follows:

As = 2² = 4 ft².

Then the total area of the figure is given as follows:

9 + 28.3 + 4 = 41.3 ft².

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Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter

Really don’t understand this one

Really dont understand this one

Answers

Answer:

(3,8)

Step-by-step explanation:

First, you need to graph a triangle using the points given.

Then reflect across y = x

R is (3,0) which when reflected across y = x is (0,3)

S is (3,3) which when reflected across y = x is (3,3)

R is (4,0) which when reflected across y = x is (0,4)

Really dont understand this one
Really dont understand this one

Marisol went to a hair salon for a haircut. The hair stylist cut off 3 inches of her hair. The length of her hair is now 11 inches. Let b represent the length of her hair before she went to the salon. Which of the following represents an equality between two different ways of expressing the length of Marisol's hair now?
A.b-3=11 B.b=11 C.b+3=11 D. 11b=3

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation: took it on times4learning math assignment

what is the answer for 12*12 ?

Answers

Answer:

144

Step-by-step explanation:

Hope this helps! God bless you!

A farmer has 20 yards of fencing to build a pen for her chickens. She decides to use a side of her barn as one side of the fenced-in area. What is the maximum area she can achieve?

Answers

Answer:

The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.

Step-by-step explanation:

Given that farmer shall construct a rectangular fenced-in area and a side of the barn is one side of such area, the needed length of fencing is represent by the following perimeter equation (\(p\)), measured in square yards:

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

Where:

\(l\) - Length of the rectangle, measured in yards.

\(w\) - Width of the rectangule (side of the barn), measured in yards.

In addition, the equation of the fenced-in area (\(A\)) is:

\(A = w\cdot l\)

If \(p = 20\,yd\), equation of area is now simplified as follows:

\(A = (20\,yd - 2\cdot l)\cdot l\)

\(A = 20\cdot l - 2\cdot l^{2}\)

The value of \(l\) associated with the maximum area is obtained with the help of First and Second Derivative Tests. Firstly, first and second derivatives of the area function are determined:

\(A' = 20 - 4\cdot l\)

\(A'' = -4\)

Let equalize first equation to zero, second derivative indicates that critical value follows to an absolute maximum. Hence:

\(20-4\cdot l = 0\)

\(l = 5\,yd\)

The width of the rectangle is: (\(p = 20\,yd\) and \(l = 5\,yd\))

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

\(w = 20\,yd - 2\cdot (5\,yd)\)

\(w = 10\,yd\)

And finally, the maximum area she can achieve is:

\(A = (5\,yd)\cdot (10\,yd)\)

\(A = 50\,yd^{2}\)

The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.

Which two steps will complete the list correctly? 4. Divide the original measurement by the conversion factors. 5. Check for reasonableness. 4. Multiply the acoriginal measure by the conversion factors. 5. Simplify the answer. 4. Multiply the original measure by the conversion factors. 5. Check for reasonableness. 4. Divide the original measure by the conversion factors. 5. Simplify the answer.

Answers

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

What is meant by conversion factor?

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

The first step is to identify the measure that has to be converted, which in this case is inches.The conversion factors, which are; are written in the second step. 1 inch equals 2.54 centimetersThe third step is to cancel the units; in this instance, inches will be cancelled.The original measurement is multiplied by the conversion factor in the fourth step to give; 10 × 2.54 cm = 25.4 cmThe fifth stage is to assess reasonableness by attempting to determine whether choosing a different number will produce a reasonable result.

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I need help please its urgent.

I need help please its urgent.

Answers

Answer:

d

Step-by-step explanation:

PQR ~MNO. What is the length of side QR?

PQR ~MNO. What is the length of side QR?

Answers

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Q1. A 1.4 m tall boy is standing at some distance from a 36 m tall building. The angle of elevation from his eyes to the top of the building increase from 30.3 ∘
to 60.5 ∘
as he walks towards the building. Find the distance he walked towards the building. Q2. A man sitting at a height of 30 m on a tall tree on a small island in the middle of a river observes two poles directly opposite to each other on the two banks of the river and in line with the foot of tree. If the angles of depression of the feet of the poles from a point at which the man is sitting on the tree on either side of the river are 60.75 ∘
and 30.43 ∘
respectively. Find the width of the river. Q3. The angle of elevation of the top of a chimney from the top of a tower is 56 ∘
and the angle of depression of the foot of the chimney from the top of the tower is 33 ∘
. If the height of the tower is 45 m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question? Q4. State the practical problem of your choice using the concept of angle of elevation or angle of depression and find its solution using trigonometric techniques.

Answers

The following equation based on the tangent function tan(60.5°) = (36 + x) / 1.4. the tangent function tan(60.75°) = w / 30   and   tan(30.43°) = w / 30.  If the height of the chimney is less than 100 m, it does not meet the pollution control norms. the height of the building:

height of the building = tan(θ) * d

Q1. To find the distance the boy walked towards the building, we can use trigonometric concepts. Let's denote the distance the boy walked as 'x'.

From the given information, we can form a right triangle where the boy's height (1.4 m) is the opposite side, the height of the building (36 m) is the adjacent side, and the angle of elevation changes from 30.3° to 60.5°.

Using trigonometry, we can set up the following equation based on the tangent function:

tan(60.5°) = (36 + x) / 1.4

Solving this equation for 'x', we can find the distance the boy walked towards the building.

Q2. To find the width of the river, we can use the concept of angles of depression and trigonometry. Let's denote the width of the river as 'w'.

Based on the given information, we have two right triangles. The height of the man on the tree (30 m) is the opposite side, and the angles of depression (60.75° and 30.43°) represent the angles between the line of sight from the man to the feet of the poles and the horizontal line.

Using trigonometry, we can set up the following equation based on the tangent function:

tan(60.75°) = w / 30   and   tan(30.43°) = w / 30

By solving this system of equations, we can determine the width of the river.

Q3. To find the height of the chimney, we can use the concept of angles of elevation and depression. Let's denote the height of the chimney as 'h'.

Based on the given information, we have a right triangle. The height of the tower (45 m) is the opposite side, the angle of elevation (56°) is the angle between the line of sight from the top of the tower to the top of the chimney and the horizontal line, and the angle of depression (33°) is the angle between the line of sight from the top of the tower to the foot of the chimney and the horizontal line.

Using trigonometry, we can set up the following equation based on the tangent function:

tan(56°) = h / 45   and   tan(33°) = h / 45

By solving this system of equations, we can determine the height of the chimney. If the height of the chimney is less than 100 m, it does not meet the pollution control norms.

Q4. The practical problem chosen is determining the height of a building using the concept of angle of elevation.

Solution: To determine the height of the building, we need a baseline distance and the angle of elevation from a specific point of observation. Let's assume we have the baseline distance 'd' and the angle of elevation 'θ' from the observer's eye to the top of the building.

Using trigonometry, we can set up the following equation based on the tangent function:

tan(θ) = height of the building / d

By rearranging the equation, we can solve for the height of the building:

height of the building = tan(θ) * d

To solve the practical problem, we need to measure the baseline distance accurately and measure the angle of elevation from a suitable location. By plugging in the values into the equation, we can determine the height of the building.

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Radioactive radium has a half-life of approximately 1,599 years. the initial quantity is 13 grams. how much (in grams) remains after 850 years? (round your answer to two decimal places.)

Answers

The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

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I Got renegade Raider From Fortnite For Free add me and like heart me if you want to learn how to get it

I Got renegade Raider From Fortnite For Free add me and like heart me if you want to learn how to get

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Answer:

that's fake right?

Step-by-step explanation:

¯\_(ツ)_/¯

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