The sample and h is the half-life, in days, of the substance. A sample contains 60% of its original amount of Fermium-257. The half-life of Fermium-257 is about 100 days. About how old is the sample? 52 days 60 days 74 days 136 days

Answer:

x = 18

Step-by-step explanation:

In order for a triangle to be a triangle, all angles must add up to 180.

This means that we can create an equation to solve for x, using the angles given.

180 = 60 + (4x+3) + (2x+9) --> remove brackets and combine like terms

180 = 60 + 6x + 12

180 = 72 + 6x

108 = 6x

18 = x

Answer:

15.2

Step-by-step explanation:

The explanation is in the photo.. but basically this question is about similar triangles and you need to find the scale factor to find the height.

Hope it helps

the height of the tree is approximately 15.2 meters.

To find the height of the tree, we can set up a proportion between Andrew's height and the height of the tree based on their respective shadow lengths.

Let's denote the height of the tree as "h" meters.

The proportion between the height and shadow lengths can be written as:

h / 28.0 = 1.9 / 3.5

Now, we can solve for "h":

h = (1.9 / 3.5) * 28.0

h ≈ 15.2 meters

To the nearest tenth of a meter, the height of the tree is approximately 15.2 meters.

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The domain of the function are all real numbers greater than 10

Domain are values of the independent variables for which the function exist.

Given the function below;

[tex]f(x)=2\sqrt{-x^2+10x}[/tex]

For the function to exist, then;

-x^2+10x = 0

-x^2 = -10x

x = 10

Hence the domain of the function are all real numbers greater than 10

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Answer:

B. Every integer is also an irrational number.

The equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

According to the question,

The equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

If (x₁, y₁) and (x₂, y₂) be any point in the plane then the distance between the two points equation is [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

Hence, the equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

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Answer:

Your answer should be 52!!

Step-by-step explanation:

Work included on the picture below.

The correct order of the numbers is 0.8 < 5/6 < 12/13. The correct option is B.) 0.8 < 5/6 < 12/13

From the question, we are to determine the correct order of the numbers

The given numbers are

5/6, 12/13, and 0.8

Convert the fractions to decimals

5/6 = 0.8333

12/13 = 0.923

Thus, the numbers are

0.8333, 0.923, and 0.8

Order the numbers from the smallest to the largest

0.8 < 0.8333 < 0.923

≡ 0.8 < 5/6 < 12/13

Hence, the correct order of the numbers is 0.8 < 5/6 < 12/13. The correct option is B.) 0.8 < 5/6 < 12/13

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The amount of rim needed for each window is 141.4 in

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

An arc is part of section of the circumference of a circle

So, length of arc, L = Ф/360 × 2πR where

Gven that for the window rim

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

So, the amount of rim needed for each window is 141.4 in

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The measure of segment AD in the similar triangle is 45.07 mm

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Also, their corresponding angles are congruent.

Triangle FEA and triangle ABC are similar triangles by the angle angle similarity postulate, therefore:

13/AD = 15 / (15 + 37)

AD = 45.07 mm

The measure of segment AD in the similar triangle is 45.07 mm

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Answer:

  385.7 ft

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

The speed is given in miles per hour, but the time is given in seconds and the distance is wanted in feet. This suggests a conversion of speed to feet per second is appropriate.

  [tex]\dfrac{52.7\text{ mi}}{\text{h}}\times\dfrac{1\text{ h}}{3600\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{52.7\cdot22\text{ ft}}{15\text{ s}}=77.29\overline{3}\text{ ft/s}[/tex]

The distance traveled is the product of this speed and the time period.

  [tex]\dfrac{77.29\overline{3}\text{ ft}}{1\text{ s}}\times4.99\text{ s}=385.6937\overline{3}\text{ ft}\approx\boxed{385.7\text{ ft}}[/tex]

The best description on measurement of the center of this data is; C. The Rome data center is best described by the mean. The New York data center is best described by the median.

If we make the box and whisker plot of the Rome and New York data, we will see that there will clearly be an outlier in the New York data.

Thus;

Due to the fact that the data set for New York has an outlier and the mean is skewed, it means that we would use the median.

Finally, we see that the Rome data set is symmetrical because it has no outlier,  and as such we can use the mean.

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Answer:

50

Step-by-step explanation:

1000+250=1250

After that Just do it in reverse:

1250/25=50

Answer:

1. 5.46 inches

2. 111% rounded to the nearest percent

3. 85.9 tons

4. 367.2 ft.

5. 49 percent

6. 466.7 inches

Step-by-step explanation:

1. .28 x 19.5

2. 97 = 87x  Divide both sides by 87

1.11 = x  This gives our answer as a decimal.  Move the decimal 2 places to the right to make a percent. 111%

3. 146 = 1.7x  to change a percent to a decimal move the decimal to places to the left.  Divide both sides by 1.7 and round

x = 85.9

4. (2.7) 136 = x

367.2 = x

5. x123 = 60  Divide both sides by 123

x = 0.4878  Move the decimal two places to the right and round to make a percent. 48.8

6. .12x = 56  Divide both sides by .12

x = 466.7

Answer:

1 positive solution (and 1 negative)

the greatest solution is about 2.87

Step-by-step explanation:

so, it is

x² + 2x + 7 = 21

x² + 2x - 14 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -14

x = (-2 ± sqrt(2² - 4×1×-14))/(2×1) =

= (-2 ± sqrt(4 + 56))/2 = (-2 ± sqrt(60))/2 =

= (-2 ± sqrt(4×15))/2 = (-2 ± 2×sqrt(15))/2 =

= -1 ± sqrt(15)

x1 = -1 + sqrt(15) = 2.872983346... ≈ 2.87

x2 = -1 - sqrt(15) = -4.872983346...

Answer:

200

Step-by-step explanation:

Just do it in reverse and reverse "roles" multiplying Becomes Devidng and Devidng Becomes multiplying:

80/2=40, 40x5=200

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "equations, expressions". The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Basado en la información, el valor de abc + bca + cab debe ser de 60.

El valor de la combinación de estás tres letras es de 20.

Según la propiedad conmutativa el orden de los factores sumados no debe afectar su resultado, por lo que:

20+20+20 = 60

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The linear regression equation that models the cost of a flight in function of the distance traveled is given as follows:

C(m) = 0.08316m + 31.36331

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (x,y) are given as follows:

(225, 50.3), (1100, 111), (1375, 143), (1675, 187), (1950, 214), (2250, 196).

Hence, inserting these points in the calculator, the linear regression equation that models the cost of a flight in function of the distance traveled is given as follows:

C(m) = 0.08316m + 31.36331

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Based on the calculations, the maximum price per share that Schultz should pay for Arras is approximately equal to $53.00.

First of all, we would determine the cash flows for the company until the growth rate changes at a constant perpetual rate:

Year 1: $8,000,000(1 + 0.09) = $8,720,000.

Year 2: $8,720,000(1 + 0.09) = $9,504,800.

Year 3: $9,504,800(1 + 0.09) = $10,360,232.

Year 4: $10,360,232(1 + 0.09) = $11,292,652.88.

Year 5: $11,292,652.88(1 + 0.09) = $12,308,991.6392.

Year 6: $12,308,991.6392(1 + 0.06) = $13,047,5311.137552.

Next, we would calculate the terminal value in Year 5:

TV₅ = CF₆/(RWACC - g)

TV₅ = CF₆/(0.11 - 0.06)

TV₅ = $12,308,991.6392/0.05

TV₅ = $246,179,832.784.

By using Arras' cost of capital, we would determine its present value:

V₀ = $8,720,000/(1 + 0.11) + $9,504,800/(1 + 0.11)² + $10,360,232/(1 + 0.11)³+ $11,292,652.88/(1 + 0.11)⁴+ ($12,308,991.6392 + $246,179,832.784)/(1 + 0.11)⁵.

V₀ = $8,720,000/(1.11) + $9,504,800/(1.11)² + $10,360,232/(1.11)³+ $11,292,652.88/(1.11)⁴+ ($12,308,991.6392 + $246,179,832.784)/(1.11)⁵.

V₀ = 7,855,855.8559 + 7,714,308.9035 + 7,575,312.3467 + 7,438,820.2323 + 153,400,536.1422.

V₀ = $183,984,855.4806.

For the market value of the equity, we have:

S = 183,984,855.4806 - 25,000,000

S = $158,984,855.4806.

Now, we can find the maximum price per share:

Maximum price per share = 158,984,855.4806/3,000,000

Maximum price per share = $52.9949 ≈ $53.00.

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V(t)=2000(1.02)^t function that gives the total value in dollars of the investment t years from now given that Shota invests $2000 in a certificate of deposit that earns 2 percent interest each year. This can be obtained by using the formula of compound interest formula.

Equation of compound interest compounded yearly,

A = P(1 + R/100)^t

where,

A = amount

P = principal amount

R = rate

t = number of years

Given that P = $2000, R = 2%, number of years = t,

V(t) = 2000(1+2/100)^t

V(t) = 2000(1+0.02)^t

V(t) = 2000(1.02)^t

Hence V(t)=2000(1.02)^t function that gives the total value in dollars of the investment t years from now given that Shota invests $2000 in a certificate of deposit that earns 2 percent interest each year.

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Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input for an exponential growth function.

Verification of Choice

Let us consider the following exponential growth function.

y = Aeˣ ...........................(1)

This equation changes when it is reflected across the y axis and becomes,

y = Ae⁻ˣ ...........................(2)

Here, the set of all x values for which y is defined is known as the domain of this exponential growth function.

Therefore, the domain of exponential growth function 1 is the set of all real numbers, given by, x ∈ [-∞,∞]

The domain of function 2, which is a reflection of function 1, will also consist entirely of real numbers and will be given by x ∈ [-∞,∞ ]

Therefore, between Alissa and himself, Simon is right when he asserts that even if an exponential growth function is reflected across the y-axis, the domain will still consist only of real values.

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Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem, 7^2+24^2=25^2

49+576=625

625=625

All the other answers do not satisfy the Pythagorean theorem (a^2+b^2=c^2)

Answer: A, B

Step-by-step explanation:

A right triangle's sides have a special property that the sum of the squares of the two legs is equal to the square of the hypotenuse. This is also known as the Pythagorean Theorem.

Let's check if this theorem holds true for each triangle.

[tex]11^2+13^2=(\sqrt{290})^2\\ 121 + 169=290\\ 290 = 290[/tex]

The Pythagorean Theorem holds true, so this is a right triangle.

[tex]7^2+24^2=25^2\\ 49 + 576 = 625\\ 625=625[/tex]

The Pythagorean Theorem holds true, so this is a right triangle.

[tex]2^2+5^2=7^2\\ 4+25=49\\ 29 = 49[/tex]

This is a false statement, which doesn't make this triangle a right triangle. We could have use the triangle inequality theorem to prove that this isn't a triangle at all, and therefore not a right triangle, but I encourage you to learn about it and try it yourself.

Hence, the age of his brother when brain is [tex]11[/tex] is [tex]19.[/tex]

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Brian is [tex]8[/tex] and his brother is twice his age.

As age of brain is [tex]8[/tex].

His brother is twices than his age is [tex]8(2)=16[/tex]

When the age of brain is [tex]11[/tex] then [tex]3[/tex] added to his present age.

Then the age of his brother is [tex]16+3=19[/tex]

Hence, the age of his brother when brain is [tex]11[/tex] is [tex]19.[/tex]

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Answer:

5×3=15

15×3=45

therefore the largest value is 45

The largest possible value in the set is 92. The set has an equal mean and median. So, the set is {29, 29, 50, 50, 92}.

Mean:

For a set of data, the average of all the data values is said to be its mean.

Median:

When the set is arranged in ascending order, the middle term is said to be its median (if there are an odd number of data values in the set) or the average value of the two middle terms is the median (if there are an even number of data values in the set).

It is given that,

there are 5 numbers in the set

Mean = 50 and Median = Mean

So, Median = 50

Since there are 5 numbers in the set (odd number), the median is the third(middle) number.

Consider the first or smallest number as 's'.

Then the largest number = 3s + 5

By minimizing each term we get,

first term = s

second term = s

third term = 50

fourth term = 50

fifth term = 3s+5

If the mean is 50, then the sum of all the terms = 50 × 5 = 250

So,

s + s + 50 + 50 + 3s + 5 = 250

⇒ 5s + 105 = 250

⇒ 5s = 145

∴ s = 29

Thus, the smallest number is 29

Then, the largest number = 3s + 5 = 3 × 29 + 5 = 92

Therefore, the largest number in the given set is 92.

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Answer:G

Step-by-step explanation:

4/9 times 2/8= 1/9

Answer:

G 1/9

Step-by-step explanation:

add all of the cards together that will get you 9 then you take the hearts overing it by total then times it by 2 overing by 8 or

4/9x2/8

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming the equation should be:}[/tex]

[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]

[tex]\huge\textbf{Simplify it: }[/tex]

[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]

[tex]\mathbf{= 3(8) - (2^2 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - (2^2 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - (4 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - 5^2 + 8}[/tex]

[tex]\mathbf{= 24 - 25 + 8}[/tex]

[tex]\mathbf{= -1 + 8}[/tex]

[tex]\mathbf{= 7}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{Option\ B. 7}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

A function for the described sequence is; f(n) = 6• 3^(n-1) and the sixth term is; 1458.

Since, it follows that the first term of the sequence is; 6 and the common ratio is 3, it follows that the recursive function that represents the sequence is; f(n) = 6• 3^(n-1).

Additionally, by substitution of 6 for n; f(6) = 1,458.

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A)f(x)=3/5 and -1.

B)f(x)=(3/5, 0) and (-1, 0).

C)f(x)=(-0.2, -3.2)

D)f(x)= = -0.2.

Function: f(x) = 5x² + 2x-3.

a) Completely factor f(x)

  f(x) = 5x² + 2x-3.

        = 5x² + 5x-3x − 3

         = 5x(x+1)-3(x+1)

         =(5x-3)(x+1)

f(x)=3/5 and -1.

b)The x-intercepts of the graph of f(x):

    f(x) = 5x² + 2x-3.

At f(x) = 0, the x-intercepts are present.

Therefore, x-intercepts are (3/5, 0) and (-1, 0).

c) The end behavior of the graph of f(x):

      f(x) = 5x² + 2x-3.

The middle of the zeros is the vertex's x-coordinate.

           =-0.2

Find the y-coordinate of the vertex, and substitute the found value of x into the given equation:

   f(-0.2)= 5(-0.2)² + 2(-0.2) − 3

           =-3.2

d)The steps you would use to graph f(x):

The axis of symmetry is the x value of the vertex.

Therefore, the graph is symmetrical at about x = -0.2.

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Answer:

y = (3/10)x + 1/10

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. First, we need to rearrange the given equation to determine the slope of the original line.

10x + 3y = 5                                <----- Original equation

3y = -10x + 5                               <----- Subtract 10x from both sides

y = (-10/3)x + 5                            <----- Divide both sides by 3

Now, we can tell that the slope of the original line is m = -10/3. The perpendicular line should have an opposite-signed, reciprocal slope to that of the original. Therefore, the new slope is m = 3/10.

We can find the value of "b" by plugging the new slope and values from the Point (3, 1) into slope-intercept form.

m = 3/10

x = 3

y = 1

y = mx + b                                  <----- Slope-intercept form

1 = (3/10)(3) + b                           <----- Insert values

1 = 9/10 + b                                 <----- Multiply 3/10 and 3

10/10 = 9/10 + b                          <----- Create common denominators

1/10 = b                                      <----- Subtract 9/10 from both sides

Now that we know the values for "m" and "b", we can construct the equation of the perpendicular line.

y = (3/10)x + 1/10