A scientist has 68 lbs of a material. In 40 years , there is 63.3 lbs left. How much will be there be left in 200 years?

The cost of shelving Nathaniel’s DVD collection is 15.75×27=$425.25.

We are given that;

Dimensions =7.5in, 5.3in, 0.6in

To find the cost of shelving Nathaniel’s DVD collection, we need to find how many shelves he needs and multiply that by the price of each shelf. To find how many shelves he needs, we need to find how many DVDs can fit on one shelf and divide that by the total number of DVDs.

Since the shelves are 31.5 inches wide and the DVDs are 5.3 inches wide, we can fit 5.331.5​≈5.94 DVDs on one shelf. We round this down to 5 DVDs per shelf because we cannot fit a partial DVD on a shelf.

Since Nathaniel has 132 DVDs in his collection, he needs 5132​=26.4 shelves. We round this up to 27 shelves because we cannot use a partial shelf.

Therefore, by algebra the answer will be 15.75×27=$425.25.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

After 0.50 hours, the cyclist's new elevation is h = 1.8 km.

Since the cyclist is riding downhill, we can use the formula h = h0 - Vt sin θ to calculate her new elevation. In this formula, h0 represents her initial elevation, V her speed, t her time, and θ her angle of descent. We are given h0 = 1.9 km, V = 25 km/hr, t = 0.50 hours, and θ = 2°.

h = 1.9 km - (25 km/hr)(0.50 hours)(sin 2°)

h = 1.9 km - (25 km/hr)(0.50 hours)(0.03492)

h = 1.8282 km

h ≈ 1.8 km

Therefore, after 0.50 hours, the cyclist's new elevation is h = 1.8 km.

Learn more about the trigonometric angles visit:

brainly.com/question/24174128.

#SPJ1

If player gains 20 points If die shows "6" and loses 3 points if die does not show "6", then there will be a gain of 83 points, Option(c) is correct.

To find the expected total gain or loss for the player, we need to find the expected value of the points earned or lost on each roll of the die and then multiply that by "number-of-rolls".

Let X be the random-variable representing the points earned on a single roll of the die.

If "6" appears on die, then , X = 20,

If "6" does not appear on die, then X = -3,

The probability of getting "6" is = 1/6, and

The probability of not getting "6" is = 5/6.

So, the expected-value of X is : E(X) = (1/6) × 20 + (5/6) × (-3) = 0.83,

It means that, on average, the player can expect to earn about 0.83 points per roll of the die.

To find the expected total gain or loss for 100 rolls of the die, we multiply the expected value of X by 100;

⇒ E(total) = 100 × E(X) = 100 × 0.83 = 83,

The "Expected-Value" is positive, the player can expect to gain about 83 points over 100 rolls of the die.

Therefore, the correct option is (c).

Learn more about Expected Value here

https://brainly.com/question/30042951

#SPJ1

The given question is incomplete, the complete question is

In a certain game, a fair die is rolled and a player gains 20 points if the die shows a "6." If the die does not show a "6," the player loses 3 points. If the die were to be rolled 100 times, what would be the expected total gain or loss for the player?

(a) A gain of about 1,700 points

(b) A gain of about 583 points

(c) A gain of about 83 points

(d) A loss of about 250 points

(e) A loss of about 300 points

The coordinates of the points B' and C' are B' = (-1, 10) and C' = (-6, -5)

From the question, we have the following parameters that can be used in our computation:

A = (-2, -4)

This point is translated to

A' = (-3, -1)

This means that the rule of transformation is

(x, y) = (x - 1, y + 3)

Given that

B = (0, 7) and C = (-5, -8)

When this transformation is applied on B and C, we have

B' = (0 - 1, 7 + 3) and C' = (-5 - 1, -8 + 3)

Evaluate

B' = (-1, 10) and C' = (-6, -5)

Hence. the coordinates of B' and C' are B' = (-1, 10) and C' = (-6, -5)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

The statement which is true about the quadrilateral is D. Some rhombuses have four right angles.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Rectangles, squares, trapezium, parallelogram, rhombus are all quadrilaterals.

A. All squares are rectangles but all rectangles are not squares, since for squares, all sides need to be equal.

But for a rectangle, opposite sides only need to be equal.

B. A rhombus has all the sides equal and opposite sides are parallel.

So there are 2 pairs of parallel sides.

C. A trapezoid can have only one pair of sides parallel.

D. Some rhombuses have four right angles.

This is true since square is a rhombus and it has 4 right angles.

Hence the true option is D.

Learn more about Quadrilaterals here :

https://brainly.com/question/29934440

#SPJ1

The amount of wax needed to make 288 candles is  41472 inches³.

A company makes wax candles in the shape of a rectangular prism. Each candle is 6 inches long, 3 inches wide, and 8 inches tall.

Therefore, the amount of wax to make 288 candles can be calculated as follows:

Hence,

volume of each rectangular prism = 6 × 3 × 8

volume of each rectangular prism = 18 × 8

volume of each rectangular prism = 144 inches cube

Therefore,

1 candle =  144 inches cube

288 candles = ?

cross multiply

volume of wax for 288 candles = 288 × 144

volume of wax for 288 candles = 41472 inches³

learn more on rectangular prism here: https://brainly.com/question/27782736

#SPJ1

There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

Learn more about the cuboid visit:

https://brainly.com/question/26403859

#SPJ1

The Cost of the blue paint that would cover the shaded area = $0.495

The Cost of the white paint that would cover the triangular shapes = $0.6678

Recall the following formulas:

Area of a circle = πr²

Area of a triangle = 1/2 * base * height.

Area the blue paint will cover = 2(1/2 * base * height) = 2(1/2 * 1.5 * 1)

= 1.5 ft²

Cost of the blue paint = 1.5 * 0.33 = $0.495

Area the blue paint will cover = πr² - area of the two triangles

= 3.14 * 1.5² - 1.5 = 5.565 ft²

Cost of the white paint = 5.565 * 0.12 = $0.6678

Learn more about the area of circle on:

https://brainly.com/question/26980159

#SPJ1

D. The probability that a randomly selected giraffe will be shorter than 18.5 feet tall is given as follows: 0.7340 = 73.40%.

E. The probability that a randomly selected giraffe will be between 19 and 19.9 ft tall is given as follows: 0.0968 = 9.68%.

F. The 75th percentile for the height of giraffes is given as follows: 18.54 ft.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 18, \sigma = 0.8[/tex]

The probability that a randomly selected giraffe will be shorter than 18.5 feet tall is the p-value of Z when X = 18.5, hence:

Z = (18.5 - 18)/0.8

Z = 0.625

Z = 0.625 has a p-value of 0.7340.

The probability that a randomly selected giraffe will be between 19 and 19.9 ft tall is the p-value of Z when X = 19.9 subtracted by the p-value of Z when X = 19, hence:

Z = (19.9 - 18)/0.8

Z = 2.375

Z = 2.375 has a p-value of 0.9912.

Z = (19 - 18)/0.8

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

Hence:

0.9912 - 0.8944 = 0.0968 = 9.68%.

The 75th percentile is X when Z = 0.675, hence:

0.675 = (X - 18)/0.8

X - 18 = 0.8 x 0.675

X = 18.54 ft.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Step-by-step explanation:

We have the system of equations:

1/x + 2/y = 1 -----(1)

-1/x + 8/y = -6 -----(2)

We can use the substitutions u = 1/x and v = 1/y to rewrite the equations in terms of u and v. Substituting, we get:

u + 2v = 1 -----(3)

-u + 8v = -6 -----(4)

Now we can solve the system in terms of u and v. Adding equations (3) and (4) gives:

2v = -5

Dividing both sides by 2, we get:

v = -5/2

Substituting this value of v into equation (3) gives:

u + 2(-5/2) = 1

Simplifying:

u - 5 = 1

u = 6

Therefore, we have u = 6 and v = -5/2.

To find the solution set in terms of x and y, we substitute back:

u = 1/x, so 6 = 1/x, and x = 1/6

v = 1/y, so -5/2 = 1/y, and y = -2/5

Therefore, the solution set to the original system is x = 1/6 and y = -2/5.

$15,556.84

Paulanwill have approx $15,556.84 if she investb$5k that earns 4.10% apr compound quarterly..

Answer:

I’m pretty sure it’s $11,780.60

Step-by-step explanation:

We can use the formula for compound interest to determine how much money Paula will have in 25 years:

A = P(1 + r/n)^(nt)where:A = the total amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have:

P = $5,000

r = 4.10% = 0.041 (as a decimal)

n = 4 (compounded quarterly)

t = 25 years

Plugging these values into the formula, we get:

A = $5,000(1 + 0.041/4)^(4*25)

A = $5,000(1 + 0.01025)^100

A = $5,000(1.01025)^100

A = $5,000(2.356)

A = $11,780.60

Therefore, Paula will have approximately $11,780.60 in her account after 25 years.

The perimeter of the regular nonagon will be; 840.7 units

The in-radius of the regular nonagon is given as:

Radius, r =17

The perimeter is then calculated by:

P = 18r/Tan(π/9)

Substitute 17 for r;

P = 18(17)/Tan(π/9)

Evaluate the product of 18 and 17;

P =  306/Tan(π/9)

Evaluate the quotient

P =  840.7

Hence, the perimeter of the regular nonagon = 840.7 units

Read more about perimeters at:

brainly.com/question/24571594

#SPJ1

Answer:

Let x be the length of one side of the first carpet in feet. Then, the area of the first carpet is x^2 square feet.

Let y be the length of one side of the second carpet in feet. Then, the area of the second carpet is y^2 square feet.

From the problem, we know that the sum of the areas of the two carpets is 720 square feet:

x^2 + y^2 = 720

We also know that the difference of the areas of the two carpets is 432 square feet:

x^2 - y^2 = 432

We can solve this system of equations by using the method of substitution. Solving for x^2 in the second equation, we get:

x^2 = y^2 + 432

Substituting this expression for x^2 into the first equation, we get:

y^2 + 432 + y^2 = 720

Simplifying and solving for y, we get:

2y^2 = 288

y^2 = 144

y = 12

Substituting this value of y into the equation x^2 + y^2 = 720 and solving for x, we get:

x^2 + 144 = 720

x^2 = 576

x = 24

Therefore, the dimensions of the first carpet are 24 feet by 24 feet, and the dimensions of the second carpet are 12 feet by 12 feet.

Step-by-step explanation:

4

add 2 and 2 together and you get 4.

Answer:

4

Step-by-step explanation:

2x2 is the same as 2+2, so 2+2 is 4.

The density in trees per acre upon completion will be 500 trees per acre.

In this scenario, let's say the landscaping provider donates 2750 seedlings.

Density of trees per acre = Total number of trees / Total area of land

Hence, applying the formula leads us to:

Density of trees per acre = 2750 trees / 5.5 acres

The answer comes out to be roughly around 500 trees/acre. So when completed, approximately 500 trees are estimated to be present in each acre of the landscape.

Learn more about density on

https://brainly.com/question/1354972

#SPJ1

The study conducted on wild Jackalopes population shows a sample mean weight of 69.9 pounds, with a test statistic of  -1.327 and a p-value of  0.190. Therefore, at a significance level of 0.01, the null hypothesis can be rejected, indicating that the population mean weight is different from 65 pounds. This suggests the population health is in danger, and grants may be needed to re-establish their wild populations.

Pt1

Null Hypothesis The population mean of wild Jackalopes is equal to 69.9 lbs.

Alternative Hypothesis The population mean of wild Jackalopes is not equal to 69.9 lbs.

Test Statistic t = (X - μ) / (s / √n), where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Using a calculator or statistical software, we find that the test statistic is t = -1.327 and the p-value is 0.190.

At the 0.01 significance level, we fail to reject the null hypothesis. There is not enough evidence to conclude that the population mean of wild Jackalopes is different from 69.9 lbs.

Pt2

To show that the population is actually in danger, we could change the null hypothesis to reflect a lower population mean weight. For example:

Null Hypothesis The population mean of wild Jackalopes is equal to 65 lbs.

Alternative Hypothesis The population mean of wild Jackalopes is greater than 65 lbs.

Using the same formula for the test statistic, we find that the test statistic is t = -5.457 and the p-value is 2.29 x 10⁻⁷, which is much smaller than the significance level of 0.01.

At the 0.01 significance level, we reject the null hypothesis. There is strong evidence to conclude that the population mean weight of wild Jackalopes is greater than 65 lbs. This suggests that the health of the population is in danger and that grants to help reestablish wild populations should be pursued.

Our report to the US Fish and Wildlife Service should reflect these findings and suggest taking action to support the health and survival of wild Jackalopes.

To know more about Null hypothesis:

https://brainly.com/question/28920252

#SPJ1

Answer:

$79,618

Step-by-step explanation:

7 years x 3% = 21%

$65,800 x 21% = $13,818

$65,800 + $13, 818 = $79,618

The probability that a viewer will turn to channel 8 during Jimmy's performance is 2.67%.

The show is 30 minutes long, which is equivalent to 1800 seconds. Jimmy's performance starts at 6:06 pm, which is 366 seconds into the show, and ends at 6:14 pm, which is 414 seconds into the show. Therefore, Jimmy's performance lasts for 48 seconds.

The probability of a viewer turning to channel 8 during Jimmy's performance can be calculated by dividing the length of Jimmy's performance by the length of the entire show:

P = (length of Jimmy's performance) / (length of entire show) = 48 / 1800 = 0.0267

Multiplying by 100 gives the probability as a percentage: 2.67%

To learn more about probability click on,

brainly.com/question/22372714

#SPJ1

A) The total cost for 45khw of electricity is 27.50c.

B) The total cost for 60khw of electricity is 76.70c.

C) Total cost for 100khw of electricity is 76.70c.

To calculate the cost of electricity for different amounts of kWh, we need to use the sliding scale tariffs provided by the local municipality. Here are the calculations for the given scenarios:

A. For 45 kWh of electricity:

The first 50 kWh cost 0.55c per kWh, so the cost is 50 x 0.55 = 27.50c

There is no electricity used beyond the first 50 kWh, so the total cost is 27.50c.

B. For 60 kWh of electricity:

The first 50 kWh cost 0.55c per kWh, so the cost is 50 x 0.55 = 27.50c

The next 10 kWh cost 0.82c per kWh, so the cost is 10 x 0.82 = 8.20c

The total cost is 27.50c + 8.20c = 35.70c.

C. For 100 kWh of electricity:

The first 50 kWh cost 0.55c per kWh, so the cost is 50 x 0.55 = 27.50c

The next 60 kWh cost 0.82c per kWh, so the cost is 60 x 0.82 = 49.20c

The remaining 40 kWh are not covered by the sliding scale tariff and their cost is unknown.

The total cost is 27.50c + 49.20c = 76.70c.

In summary, the cost of electricity varies depending on the amount of kWh used, and we need to use the sliding scale tariffs to calculate it correctly.

To learn more about cost click on,

https://brainly.com/question/13224821

#SPJ1

The difference in the students who chose peach pie and apple pie is 46

From the question, we have the following parameters that can be used in our computation:

From the above, we have the percentage difference to be

Difference = 38% - 15%

When the given values are substituted, we have

Difference = 23%

This means that

Students = 23% * 200

Evaluate

Students = 46

Hence, the number of students is 46

Read more about graphs at

brainly.com/question/24461724

#SPJ1

By solving equations we get to know that your cousin bought 356 shares of BP and 1448 shares of Exxon.

Initial investment:

x shares of BP at $90.75 per share + y shares of Exxon at $87.25 per share = $97,918.25

Sale of shares:

x shares of BP at $82.75 per share + y shares of Exxon at $61.25 per share = $74,090.25

We now have two equations with two variables, which we can solve using either substitution or elimination

0.875x($90.75) + 0.875y($87.25) = $85,648.23

x($82.75) + y($61.25) = $74,090.25

0.875x($90.75) - x($82.75) = $11,558.98 - 0.875y($87.25) + y($61.25)

0.875x($8) = $11,558.98 - 0.875y($26)

7x = $11,558.98 - $22.75y

We can then substitute this expression for "x" into either of the original equations to solve for "y".

(7($11,558.98 - $22.75y))/$8 + y($87.25) = $97,918.25

$81,763.03 - $19.9375y + $87.25y = $97,918.25

$7.0125y = $10,155.22

y = 1448

and x = 356

Hence, your cousin bought 356 shares of BP and 1448 shares of Exxon.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The formula to calculate the monthly payment needed to achieve a future value in an annuity is:

PMT = FV * (r / 12) / [(1 + r / 12)^(n * 12) - 1]

where PMT is the monthly payment, FV is the future value, r is the annual interest rate (as a decimal), and n is the number of years.

In this case, FV = $1,500,000, r = 0.06, and n = 30. Plugging these values into the formula, we get:

PMT = $1,500,000 * (0.06 / 12) / [(1 + 0.06 / 12)^(30 * 12) - 1]

PMT = $1,500,000 * 0.005 / [1.06^(360) - 1]

PMT = $1,500,000 * 0.005 / 5.743

PMT = $1,244.23 (rounded to the nearest cent)

Therefore, the amount that needs to be deposited each month to achieve a future value of $1,500,000 in 30 years is $1,244.23.

Answer:

the guys above me is correct

Step-by-step explanation:

because i did it and the answer was correct for me

Based on its second derivative and given initial values, the function is equal to f(x) = (1 / 3) · x³ - 6 · sin x + 8 · x + 4.

In this problem we find the definition of the second derivative of a function, whose form must be dertermined by integration and the use of initial values. First, write the second derivative:

f''(x) = 2 · x + 6 · sin x

Second, determine the first derivative of the function:

f'(x) = x² - 6 · cos x + C

2 = 0² - 6 · cos 0 + C

2 = - 6 + C

C = 8

f'(x) = x² - 6 · cos x + 8

Third, determine the function:

f(x) = (1 / 3) · x³ - 6 · sin x + 8 · x + C

4 = (1 / 3) · 0³ - 6 · sin 0 + 8 · 0 + C

4 = C

C = 4

f(x) = (1 / 3) · x³ - 6 · sin x + 8 · x + 4

To learn more on integrals: https://brainly.com/question/22008756

#SPJ1

The histogram is solved and the data is bimodal, with a maximum range of 24. This means that the tide was frequently between 6 to 10 or 16 and 20 feet.

Given data ,

Let the number of observations of each interval is:

1 to 5: 2 observations.

6 to 10: 5 observations.

11 to 15: 2 observations.

16 to 20: 6 observations.

21 to 25: 1 observations.

Let the maximum range be represented as M

And , there are two similarly high bins for the histogram , hence the distribution can be said to be bimodal, with maximum range given as follows

M = 25 - 5

M = 21 - 1

M = 20

Hence , the histogram is solved

To learn more about histogram click :

https://brainly.com/question/16819077

#SPJ1

The difference between the median math test score in the morning and the afternoon is 9.5

The median can simply be described as the middle number in a given set of data when the values are arranged in an order from least to the greatest values.

From the information given, we have that;

The math scores for the afternoon test were;

55, 70, 76, 85, 95

The math scores for the morning test were;

70, 80.5, 85.5, 90.5 and 95.5

Hence,

The median for the afternoon test = 76

The median for the morning test =85.5

The difference between the values would be = 85.5 - 76 = 9. 5

Read more about median at: https://brainly.com/question/26177250

#SPJ1

The required, difference between the perimeters of the two rectangles is 46.03 in. None of the options is correct.

Since rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k. Then:

k = XY / LM = 2.22 / 19

To find the value of k, we can divide 2.22 by 19:

k ≈ 0.117

The area of rectangle LMNP is given as 140.6 in^2. We can use this to find the length of NP:

LM * NP = area of LMNP

19 * NP = 140.6

NP ≈ 7.4 in

Since the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:

XY / YZ = LM / NP

2.22 / YZ = 19 / 7.4

YZ ≈ 1.167 in

Now we can calculate the perimeters of both rectangles:

Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in

Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in

The difference between the perimeters is:

52.8 - 6.77 = 46.03 in

Learn more about the perimeter here:

https://brainly.com/question/6465134

#SPJ1

The factorized form of the equation is 3((3x + 10)(9x - 10) ) = 0.

The given quadratic equation is simplified as follows;

81x² + 180x - 200 = 100

Collect similar terms together;

81x² + 180x = 100 + 200

81x² + 180x = 300

81x² + 180x - 300 = 0

Factorize the equation by using a common factor;

3(27x² + 60x - 100) = 0

Factorize further as follows;

3(27x² + 90x - 30x - 100) = 0

3( 9x (3x + 10) - 10(3x  + 10) )= 0

3((3x + 10)(9x - 10) ) = 0

Learn more about factorization here: https://brainly.com/question/18187355

#SPJ1