The cost of 8 T-shirts and 3 jackets is $135. The cost of 7 T-shirts and 5 jackets is $149.
Enter the cost of one T-shirt and one jacket in the response boxes below.

T-shirt: S
jacket: $

after 1000 years, there will be approximately 218.7 mg of Radium-226 remaining in the sample. use formula for radioactive decay to solve

what is radioactive decay ?

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation, such as alpha particles, beta particles, and gamma rays. The decay occurs in order to achieve a more stable configuration of the nucleus.

In the given question,

The formula for radioactive decay is:

N(t) = N0 * (1/2)ᵃ⁾ᵇ

where:

N(t) is the amount of radioactive material at time t

N0 is the initial amount of radioactive material

t is the time elapsed since the initial measurement

T is the half-life of the radioactive material

We can use this formula to solve the problem as follows:

N0 = 500 mg (the initial amount)

T = 1590 years (the half-life)

t = 1000 years (the time elapsed)

N(t) = 500 * (1/2)¹⁰⁰⁰⁾ ¹⁵⁹⁰

N(t) = 500 * 0.4374

N(t) = 218.7 mg

Therefore, after 1000 years, there will be approximately 218.7 mg of Radium-226 remaining in the sample.

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Answer: To find the actual perimeter and area of the square, we need to use the scale given in the problem, which is 1 inch on the drawing represents 7 miles in real life.

The side length of the square on the drawing is 9 inches, so in real life, the side length would be:

9 inches x 7 miles/inch = 63 miles

Therefore, the actual perimeter of the square would be:

4 x 63 miles = 252 miles

To find the actual area of the square, we can use the formula:

area = side length x side length

In this case, the side length is 63 miles, so:

area = 63 miles x 63 miles = 3,969 square miles

So the actual perimeter of the square is 252 miles, and the actual area of the square is 3,969 square miles.

Step-by-step explanation:  can i get brainliest :D

The inequality in standard form that will represent the maximum number of cans of apple juice and cans of pineapple juice Stewart can use would be = 240ounce = 10a + 18p.

The total quantity of fruit punch that would be used for the birthday = 240 ounce.

The quantity of juice each can holds for apple juice,a, = 10 ounces.

The quantity of juice each can hold for pineapple juice,p,= 18 ounces.

Therefore the best expression in standard form would be = 240ounce = 10a + 18p.

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Answer:

Ned has 20 white marbles.

Step-by-step explanation:

Let's call the number of red marbles "r".

We know that Ned has twice as many white marbles as red marbles, so the number of white marbles would be 2r.

We also know that he has five more blue marbles than white marbles, so the number of blue marbles would be 2r + 5.

The total number of marbles in Ned's collection is 55, so:

r + 2r + (2r + 5) = 55

Simplifying this equation, we get:

5r + 5 = 55

Subtracting 5 from both sides:

5r = 50

Dividing by 5:

r = 10

So Ned has 10 red marbles.

We can use this to find the number of white marbles:

2r = 2(10) = 20

So Ned has 20 white marbles.

The horizontal asymptote is y = 3/2, and the slant asymptote is y = x/2.

We need to compare the degrees of the numerator and denominator.

The degree of the numerator is 2, and the degree of the denominator is also 2. Therefore, the horizontal asymptote is given by the ratio of the leading coefficients, which is 3/2. The horizontal asymptote is y = 3/2

Furthermore, f(x) = 3/2 + x/(2x² - 1)

This expression shows that the function has a slant asymptote given by the line: y = x/2

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13.) The simplified polynomials that can represent the area and perimeter of the large rectangle =40x + 5x² and

12X + 16 respectively.

14.)The simplified polynomials that can represent the area and perimeter of the large rectangle =21+10x + x² and 20+4x respectively.

To determine the simplified polynomials, the formula for the area and perimeter of the rectangule should be used. That is:

Area of rectangle = length×width

where;

length = 5x

width = 8+X

Area = 5x * 8+X

= 40x + 5x²

Perimeter of rectangle = 2(length+width)

= 2(5x + 8+X)

= 10x + 16 + 2x

= 12X + 16

For question 14.)

Area of rectangle = length× width

where;

length = 7+X

width = 3+X

Area = 7+X × 3+X

= 21+7x+3x +x²

= 21+10x + x²

Perimeter = 2(length+width)

= 2(7+X+3 + X)

= 2(10+2x)

= 20+4x

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Answer:

The answer is A

Step-by-step explanation:

Trust me

Answer:

A = 40 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 20) (4)

A = 40 cm^2

Answer:

40in²

Step-by-step explanation:

The formula to find the area of a triangle is:

[tex]\sf Area = \frac{1}{2}*Base*Height[/tex]

Accordingly, let us solve it now.

[tex]\sf \frac{1}{2}*Base*Height\\\\\sf \frac{1}{2}*20*4\\\\40\:in^2[/tex]

The length of the apothem is 10. 99cm

To determine the apothem of a polygon, we have to use the formula;

a = s/2 tan (180/n)

Such that the parameters are;

Now, substitute the values, we have;

a = 8/2tan(180/9)

divide the values

a = 8/2tan 20

Find the values

a = 8/0. 7279

Divide the values

a = 10. 99cm

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Answer:

x = 5

Step-by-step explanation:

To solve the equation 4x-8 + 4 = 16, we first combine the constants on the left-hand side:

4x-8+4 = 16

4x-4 = 16

Next, we add 4 to both sides to isolate the variable on one side:

4x-4+4 = 16+4

4x = 20

Finally, we divide both sides by 4 to solve for x:

4x/4 = 20/4

x = 5

Therefore, the solution to the equation 4x-8 + 4 = 16 is x = 5.

The reading that separates the rejected thermometers from the others is given as follows:

1.175 ºC.

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 = 0, \sigma = 1[/tex]

The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.

Hence:

1.175 = X/1

X = 1.175 ºC.

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The number of ways you can tile your walkway if you choose single tiles and double tiles is 3,992,781,803 ways.

To tile a 1x20 walkway using red, blue, and yellow single tiles (1x1) and green and white double tiles (1x2), we can consider the number of ways to combine the single and double tiles to fill the entire 1x20 space.

The exact number of ways to tile the 1x20 walkway using red, blue, and yellow single tiles and green and white double tiles:

= 3^20 + 3^18 x 2 + 3^16 x 4 + 3^14 x 8 + 3^12 x 16 + 3^10 x 32 + 3^8 x 64 + 3^6 x 128 + 3^4 x 256 + 3^2 x 512 + 1, 024

= 3486784401 + 258280326 + 172186884 + 38263752 + 8503056 + 1889568 + 419904 + 93456 + 20736 + 4608 + 1024

= 3,992,781,803 ways

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If the third term is 31, then let's get the second term. We have to use the rule we were given and work backwards. So, we will add three and then divide by 2.

31 + 3 = 34

34 / 2 = 17

17 is the second term. Let's do the same thing we just did to find the first term: add three, divide by 2.

17 + 3 = 20

20 / 2 = 10

Answer: the first term is 10

Hope this helps!

The total power being emitted by the source, given the radiant flux density, is  28,274.3 watts of power.

The inverse square law can be used with the formula :

I = P / ( 4 π r ²)

We are given the radiant flux density I = 90 W/m² and the distance r = 5 m.

The power being emitted is therefore :

P = 90 W/ m ² x (4 π ( 5 m) ² )

P = 90 W / m ² x ( 4 π x 25 m ² )

P = 90 W / m² x 100 π m²

P = 28, 274.3 watts

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Full question is:

How much power is a source emitting with an amount of radiant flux density of 90w/m sq when the distance is 5 m

Answer:

  54

Step-by-step explanation:

You want the approximate test grade of a student with a homework grade of 61, using a linear regression equation for the given homework and test scores.

The linear regression equation can be found using any of a number of calculators, apps, or spreadsheets. The attachment shows the equation is approximately ...

  y ≈ 1.22x -20.01

For a homework score of 61, the expected test grade is ...

  y = 1.22(61) -20.01

  y ≈ 54

The student's projected test grade is 54.

__

Additional comment

If the regression coefficients are used to their full precision, the projected test score is about 54.6, which rounds to 55.

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Answer:

Step-by-step explanation:

2(y+5)=24

Answer:

a) 27. b) 27.3333 c) 40.75

Answer:

Words of the Devil, by Parau na te Varua ino, is a painting that was created in 1892 in French Polynesia. The painting depicts a scene from Tahitian mythology, in which the goddess Hina is visited by the devil, who is represented as a horned figure with a large, forked tongue. The painting is rich in detail and vivid color, with the figures depicted in bright, bold colors that stand out against the darker background.

The style of the painting is characteristic of the Tahitian art of the time, which was heavily influenced by the traditional Polynesian art forms of carving, tattooing, and tapa cloth decoration. The figures in the painting are depicted in a stylized, almost abstract way, with exaggerated features and bold, sweeping lines. The use of bright colors and bold brushstrokes gives the painting a dynamic, almost chaotic energy that reflects the intense emotions of the scene.

Overall, Words of the Devil is a powerful and striking work of art that captures the mythology and cultural traditions of French Polynesia in the late 19th century.

The values received after utilizing confidence interval are (0.614, 0.674)

Poll = n = 918

X = 592

Calculating the value of p -

p = x/n

= 592/918

= 0.644

The mean of an estimate plus and minus the range of that estimate constitutes a confidence interval. inside a specific degree of confidence, this is the range of values that anticipates the estimate to fall inside if the test is repeated.

Using the formula of confidence interval -

[tex]CI = p + z\sqrt{} p ( 1-p/n)[/tex]

Substituting the values -

[tex]CI = 0.644 + 1.645 \sqrt{} ( 0.644 ( 1 - 0.644) / 918)[/tex]

= 0.644 ± 0.030

Thus, the interval values are -

= 0.644 + 0.030 = 0.674

= 0.644 - 0.030 = 0.614

With 90% certainty that this range represents the true percentage of the population who feel vulnerable to identity theft.

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The volume of the cylinder is 8,038.4 ft3

The height(H) is 10ft

The diameter is 32 ft

The formula for calculating the volume of a cylinder is

πr²h

Radius= 32/2

= 16

Volume= 3.14 × 16² × 10

= 3.14 × 256 × 10

= 8,038.4

Hence the volume of the cylinder is 8,038.4 ft3

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When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)

First, we shall determine the value of A. Details below:

Quadratic equation is expressed as:

x² - (sum of root)x + product of root

Comparing the above with x² - 11x + 30, we have

x² - 11x + 30 = x² - (sumof root)x + product of root

Product of roots = 30

Thus,

A = 30

Next, we shall determine the value of B. details below:

f(x) = x² + 5

f(2) = 2² + 5

f(2) = 9

Thus,

B = 9

Next, we shall determine the value of C. Details below:

Let

x + 4 = 0

Thus,

x = -4

Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:

Remainder = x² - 2x - 24

Remainder = (-4)² - 2(-4) - 24

Remainder = 0

Thus,

C = 0

Finally, we shall determine value of A/5 + √(B - C). Details below:

A/5 + √(B - C) = 30/5 + √(9 - 0)

A/5 + √(B - C) = 6 + √(9

A/5 + √(B - C) = 6 + 3

A/5 + √(B - C) = 9

Thus, the value of A/5 + √(B - C) is 9 (option B)

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The accounting terms when matched with their relevant actions would be;

A company's free cash flow is an indicator of its ability to cover expenses and invest in future growth opportunities. A high level of free cash flow suggests that the business is doing well financially, while a low amount indicates that the opposite is true.

In order to generate income or save money over time, companies will make capital expenditures. However, if investors deem a company to be underperforming or unlikely to provide returns on investment, they may choose to sell their shares as a preventative measure against further financial losses.

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The correct choice is: B. The statement is false because the reference values for the decrease and increase are not the same. The true improvement over the past two years is 8.56%.

In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

Mathematically, percentage increase can be calculated by using this mathematical equation (formula):

Percentage increase = [Final value - Initial value]/Initial value × 100

Based on the information provided about the high school test scores, we have the following:

True improvement = (100% - 8%) × (100 + 18)

True improvement = (92%) × (100 + 18)

True improvement = (0.92) × (118)

True improvement = 108.56 ⇒ 8.56%.

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The correct sequence to model the given scenario is (b) f(n) = 1.12f(n-1)(1- f(n-1/6000)), and we can use this formula to calculate the oxygen released by the tree in each year, option (b) is correct.

The amount of oxygen released by the tree increases at a rate of 12% per year, which is represented by the factor 1.12f(n-1).

However, the tree cannot generate more than 6000 pounds of oxygen per year, which is represented by the limiting factor:

(1- f(n-1/6000)).

To understand this better, let's calculate the oxygen released by the tree in the second year using the formula

f(n) = 1.12f(n-1)(1- f(n-1/6000)).

f(2) = 1.12f(1)(1- f(1)/6000)

= 1.12(250)(1- 250/6000)

= 295.67 pounds of oxygen

Hence, option (b) is correct.

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The correct question is:

Which sequence below would best model the following description? A newly planted tree releases 250 pounds of oxygen over the period of its first year. The amount of oxygen released by the tree grows at a rate of 12% per year, but the tree cannot generate more than 6000 pounds of oxygen per year.

a. f(n) = 1.12f(n-1)(1+ f(n-1/6000)

b. f(n) = 1.12f(n-1)(1- f(n-1/6000)

c. f(n) = 1.12f(n-1) {6000/f(n-1)}

d. f(n) = 1.12f(n-1)(f(n-1) -6000)

The simplification of the function is r(x)=10x - 95.

We are given that;

s(x) = -85 and a(x) = 10(x - 1)

Now,

To create a function that combines them, you can substitute these expressions into the formula above:

r(x) = s(x) + a(x) r(x) = (-85) + 10(x - 1)

You can simplify this function by distributing the 10 and combining the constants:

r(x) = -85 + 10x - 10 r(x) = 10x - 95

Therefore, the function will be r(x)=10x - 95.

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The solution to the given inequality is: 10 > x ≤ 12

Inequalities are defined as mathematical expressions that involve the symbols >(greater than), <(less than), ≥(greater than or equal to) and ≤(less than or equal to).

In order for us to 'solve' an inequality, we have to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.

We are told that the angle (9x + 7)° is greater than 97° and at most 118°

Thus:

9x + 7 > 97

9x > 90

x > 10

Similarly:

9x + 7 ≤ 115

9x ≤ 108

x ≤ 12

Thus, the solution to the inequality is: 10 > x ≤ 12

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The amount you will have in the account in 30 years is $22836.77

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

Using the above as a guide, we have the following:

Amount = P * (1 + r)^t

Where

P = Principal = 3000

r = Rate = 7%

t = time = 30

Substitute the known values in the above equation, so, we have the following representation

Amount = 3000 * (1 + 7%)^30

Evaluate

Amount = 22836.77

Hence, the amount is 22836.77

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