The half life of radium is 1690 years. if 80 grams are present now, how much will be present in 830 years

Answer:

  minor arc

Step-by-step explanation:

This is a vocabulary question:

__

Arc EA is a minor arc.

_____

Additional comment

In general, unless the two named points are the ends of a diameter, the arc is a minor arc. A major arc will generally be defined by designating a third point on the long arc connecting the same points on the circumference. For example, EDA, ECA, and EBA all designate the major arc connecting points E and A. (We can also use the descriptor, "major arc EA.") Without any of these extras designating the major arc, EA is considered to be the minor arc.

Answer:

Exact distance = [tex]\sqrt{202}[/tex]

Approximate distance = 14.2127

==========================================================

Work Shown:

[tex](x_1,y_1) = (7,14) \text{ and } (x_2, y_2) = (18,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-18)^2 + (14-5)^2}\\\\d = \sqrt{(-11)^2 + (9)^2}\\\\d = \sqrt{121 + 81}\\\\d = \sqrt{202}\\\\d \approx 14.2127\\\\[/tex]

Note: I used the distance formula. Though you could plot the points, form a right triangle, and use the pythagorean theorem as an alternative route. The distance formula is effectively a modified version of the pythagorean theorem.

Answer:

  cot(θ) = -1.45

Step-by-step explanation:

The identity applicable to this problem is ...

  tan(π/2 -θ) = cot(θ)

__

Substituting for tan(π/2 -θ), you have the desired cotangent value:

  cot(θ) = -1.45

Answer:

The answer is D.

Step-by-step explanation:

c. 2

you should just get an app on ur phone its easier than asking here

Two different roots the given polynomial function have. Therefore, option C is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given equation is y=(x-2)(x+3)

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

Here, (x-2)(x+3)=0

(x-2)=0 and (x+3)=0

x=2 and x=-3

Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

How many different roots does the polynomial function, y = (x - 2)(x+3)?

A. 4

B. 3

C. 2

D. 1

Answer:

2.5 cups of flour per cup of water.

Step-by-step explanation:

We can divide the entire recipe by two, to get the amount of flour to 1 cup of water.

5/2 = 2.5

2/2 = 1

Therefore, 2.5 cups of flour needs 1 cup of water.

Answer:

There are 2.5 cups of flour per cup of water

Step-by-step explanation:

Step 1:  Find the ration

Cups of Flour : Cups of Water

5 : 2

2.5 : 1

Answer:  There are 2.5 cups of flour per cup of water

Answer:

I think that it is y=24(x+204)

Answer:

11.8

Step-by-step explanation:

5 + 10 + 12 + 4 + 6 + 11 + 13 + 51= 118

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Count = 10

Sum = 118

Average = Sum / Count

118/10= 11.8

Answer:

p7

Step-by-step explanation:

If it includes 4 then 0.8, if not then 0.6.

Answer:

15u³

Step-by-step explanation:

To find volume ↓

Volume

= length × width × height

= 2u × 2½u × 3u

= 15u³

Hope this helps =)

Answer:

Step-by-step explanation:

These questions can be answered by reference to the formulas for the volume of a cone, cylinder, and sphere.

__

  V = 1/3πr²h . . . volume depends on height as well as radius

Cones with the same radius will sometimes have the same volume. (When they have the same height.)

__

  V = πr²h . . . volume depends on height as well as radius

Cylinders with the same radius will sometimes have the same volume. (When they have the same height.)

__

  V = 4/3πr³ . . . volume depends only on radius

Spheres with the same radius will always have the same volume.

Lets note the formulas first to make clear.

For cone

For cylinder

For sphere

We can see

for first two

For sphere

Answer:

I don't understand trig very well but I do get pythagorean theorem, which I can help with. Your final answer will end up being 31.

Step-by-step explanation:

First off the formula for pythagorean theorem is a^2 + b^2 = c^2

We know that C stands for the hypotenuse so we want to know what C is.

A and B are both 22 so our equation turns into 22^2 + 22^2 = c^2

22 squared is 484 which leads to 484 + 484 = c^2

484 + 484 = 968

968 is our C^2 but we still need to find the square root

The square root of 968 is 31.11269837... and a whole lot of other numbers

You round that out to 31 and get the length of your diagonal

After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1

Let be x and y the original investment and the value after applying the change, both in monetary units. A direct relationship is observed by following this model:

y = (1 + r/100) · x     (1)

Where r is change rate, in percentual units.

After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1

The table of the change in investment with respect to initial investment is missing and is now introduced below:

(x₁, y₁) = (75, 7.5), (x₂, y₂) = (100, 10), (x₃, y₃) = (200, 20), (x₄, y₄) = (300, 30), (x₅, y₅) = (400, 40)

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Answer:

The answer is given in the picture

Step-by-step explanation:

Do you remember me calista

I am alvena

Answer:

$70

Step-by-step explanation:

$5 x 6 hours = $30

$600 ÷ 15% = $40

$30 + $40 = $70

Vectors simply means a quantity that has both magnitude and direction but not position e.g acceleration.

Your information is incomplete as the graphs aren't given. Therefore, an overview of vectors will be given.

In this case, vectors simply means a quantity that has both magnitude and direction but not position e.g acceleration, velocity, etc.

A vector can also be an element of the vector space. The direction is typically equal to the angle formed with the x-axis.

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Answer:

12(4+3)

Step-by-step explanation:

Answer:

A = $17,238.65

I (interest) = $8,838.65

Step-by-step explanation:

Using the formula A = P(1 + r/n)^nt

A = $17,238.65

A = P + I where

P (principal) = $8,400.00

I (interest) = $8,838.65

First, convert R as a percent to r as a decimal

r = R/100

r = 3.6/100

r = 0.036 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 8,400.00(1 + 0.036/12)^(12)(20)

A = 8,400.00(1 + 0.003)^(240)

A = $17,238.65

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $8,400.00 at a rate of 3.6% per year compounded 12 times per year over 20 years is $17,238.65

Answer:

x= 180° - (103°+33°)

x= 180° - 136°

x= 44°

Answer:

option b

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Answer: the series converges because it has a sum of 1 (b)

Step-by-step explanation:

bec i said so

Answer:

option E is correct.

Step-by-step explanation:

from the options, the correct answer is:

the product of seven and the difference of b minus two.

Answer:

(x-18)²+(y+18)²=18².

Step-by-step explanation:

1) the formula is: (x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates of the centre, r - the length of the radius;

2) according to the formula above:

(x-18)²+(y+18)²=18².

Answer:

-12

Step-by-step explanation:

(6)(-2)= -12

6 multiply -2 equals 12.

Answer:

858 Remainder 4

Step-by-step explanation:

Answer:

173,056,00

Step-by-step explanation:

Answer:

x = 3.5

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 24 – x

-> g(14) = 24 - 14

-> g(14) = 10

f(x) = g(14) (Given)

-> 2x + 3 = 10

-> 2x = 10 - 3

-> 2x = 7

-> x = 7/2

-> x = 3.5

Answer:

$1.92

Step-by-step explanation:

present cost = $1.75

time = 3 years

rate = 3.2%

cost after three years = present cost (1 +[tex]\frac{R}{100}[/tex] )^3

=$1.75 ([tex]\frac{103.2}{100}[/tex])^3

=$1.75*1.099

=$1.92

Threrefore , after 3 years cost of gas will be $1.92.

The volume of the solid generated by revolving the plane region y=3−x about the y-axis is 9π cubic units.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have a function:

y = 3 - x

From the graph:

Shell radius = y

Height = 3 - y

From the shell method, we can write the integral as follows:

[tex]\rm Volume =2\pi\int\limits^0_{-3} {y(3-y)} \, dy[/tex]

[tex]\rm Volume =2\pi\int\limits^0_{-3} {(3y-y^2)} \, dy[/tex]

After solving the above definite integral, we will get volume:

Volume = 9π cubic units

Thus, the volume of the solid generated by revolving the plane region y=3−x about the y-axis is 9π cubic units.

Learn more about integration here:

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Answer:

I got 5/12

Step-by-step explanation:

Hope this helped

ANSWER

The answer will be

Step-by-step explanation:

5/2=0•416666667

Answer:

13,62,75,48,1092

Step-by-step explanation:

1+3=4, 6+2=8, 7+5=12, 4+8=12& 1+0+9+2=12.

Answer:

  300 mL

Step-by-step explanation:

There is a simple diagrammatic way to solve mixture problems, illustrated in the attachment. In the left column are the available solution percentages. In the center is the percentage of the desired mix. In the column to the right of that are the diagonal differences between the desired value and the constituent values. Those differences represent the proportions of the constituents on the same horizontal line.

__

Here, that means 30 parts of 60% solution are needed for 5 parts of 25% solution. Since we have 50 mL of 25% solution, we can multiply these ratio values by 10 mL to find the quantities needed. That has been done here in the right-most column.

300 mL of 60% solution are needed to obtain the desired mixture.

__

Additional comment

If you want to write an equation, you can let x represent the quantity of high-concentration solution needed. Then the amount of alcohol in the mix is ...

  0.60x +0.25(50) = 0.55(x +50)

  0.05x = 0.30(50) . . . . . . . subtract 0.55x+0.25(50)

  x = 300 . . . . . . . . . . . . mL of 60% solution needed