How much of a radioactive kind of francium will be left after 44 minutes if you start with 2,616 grams and the half-life is 22 minutes?

Considering the given scatter-plot, the line of best-fit is given by:

y = 0.77857t + 3.7.

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

In this problem, considering the scatter-plot, we have that:

Hence, using the calculator, the equation is:

y = 0.77857t + 3.7.

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Answer:

6x - 4

Step-by-step explanation:

For expanding (3x -2) 2 , (3x - 2) is to be multiplied with 2.

(3x - 2) × 2 = 6x - 4

The value of x = 3/5 or 0.6 will satisfy the equation given.

An equation is a mathematical statement which is formed when two expressions are equated by an equal sign.

It is given that

[tex]\rm \dfrac{1}{3x-1} = \dfrac{2}{x+1}\\[/tex]

It has to be solved and the value of x has to be determined

(x+1) = 2 (3x-1)

x +1 = 6x -2

5x = 3

x = 3/5

Therefore the value of x = 3/5 or 0.6 will satisfy the equation given.

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Answer:

5.1

Step-by-step explanation:

A rational number is any number that can be written as a fraction, or is a decimal that terminates or repeats.

Answer:

d = 15

Step-by-step explanation:

8 - 10 - 28 + 7 is equal to -23

8 + d - 10 - 36 is equal to -38 + d

if -23 = -38 +d

15 = d

The solution of the equation is d = 15

Two or more expressions with an Equal sign is called as Equation.

The given equation is 8-10-28+7=8+d-10-36

In the equation d is the variable

We have to solve for d

8-10-28+7=8+d-10-36

-23 = -38+d

Add 38 on both sides

-23+38=d

15=d

Hence, the solution of the equation is d = 15

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Answer: 12/5

Step-by-step explanation:

[tex]3 \frac{3}{5}=\frac{18}{5}\\\\\implies \frac{2}{3} \times 3 \frac{3}{5}=\frac{2}{3} \times \frac{18}{5}\\\\=\frac{36}{15}\\\\=\boxed{\frac{12}{5}}[/tex]

Answer:

[tex]LM = 35cm[/tex] and [tex]m \angle H = 98^o[/tex]

Step-by-step explanation:

For this problem, it is critical to understand what the opening statement means.

[tex]Quadrilateral GHJK \cong quadrilateral LMNP[/tex] means that each pair of corresponding sides between shapes are congruent (they have equal length), and each pair of corresponding angles between shapes are congruent (they have equal measure -- or same number of degrees when measured with a protractor).

So, it's important to be able to determine which pairs are the corresponding parts.  When the congruence is given like [tex]Quadrilateral GHJK \cong quadrilateral LMNP[/tex]  the letters are in a particular order.  That order explains the order in which the shape is drawn out, and they put them in the same order for both shapes to mean that those are the letters that correspond with each other.

So, the first letter of each are a corresponding pair, the second letter of each are a corresponding pair, ... etc

In other words, point G and L correspond, point H and K correspond, etc.

To find the corresponding sides, the sides for these shapes are defined by a two adjacent letters (two letters next to each other in the name, or ... as it wraps around the end of the name... the first and last letter).

[tex]\overline{GH} \cong \overline{LM}\\ \overline{HJ} \cong \overline{MN} \\\overline{JK} \cong \overline{NP}\\\overline{KG} \cong \overline{PL}[/tex]

While all of that is true, we only have a few sides with any information in them.  Notice that side GH in the first shape, and sides PL & LM in the second shape are the only sides with anything written.  So, we just need to determine which sides correspond (and thus, are congruent), so that we know how to move forward.  Looking at the list of congruent sides above, we see that  [tex]\overline{GH} \cong \overline{LM}[/tex]

Since the sides (line segments) are congruent, their lengths are equal

[tex]GH = LM[/tex]

...so we can substitute the expressions for each angle into the equation and solve for the unknown value "x"

[tex]GH = LM\\(4x+3)=(6x-13)[/tex]

[tex](4x+3)+13=(6x-13)+13\\4x+16=6x[/tex]

[tex](4x+16)-4x=(6x)-4x\\16=2x[/tex]

divide both sides by 2

[tex]\frac{16}{2}=\frac{2x}{2}\\8=x[/tex]

So, to find the length, LM, we just need to look back at the expression for LM:

[tex]LM = 6x-13\\LM = 6(8)-13\\LM = 48-13\\LM = 35[/tex]

remembering that the lengths are measured in centimeters (as indicated on the diagram): [tex]LM = 35cm[/tex]

To find the corresponding angles, the angles for these shapes are defined by a single letter, so since the points correspond in order, the names of the shapes tell which angles are congruent.

[tex]\angle G \cong \angle L\\\angle H \cong \angle M\\\angle J \cong \angle N\\\angle K \cong \angle P[/tex]

While all of that is true, we only have a few angles with any information in them.  Notice that ∠H in the first shape, and ∠L & ∠M in the second shape are the only angles with anything written.  So, we just need to determine which angles correspond (and thus, are congruent), so that we know how to move forward.  Looking at the list of congruent angles above, we see that  

[tex]\angle H \cong \angle M[/tex]

Since the angles are congruent, their measures are equal

[tex]m\angle H = m\angle M[/tex]

...so we can substitute the expressions for each angle into the equation and solve for the unknown value "y"

[tex]m\angle H = m\angle M\\(9y+17)=(11y-1)[/tex]

subtract 1 from both sides

[tex](9y+17)+1=(11y-1)+1\\9y+18=11y[/tex]

subtract 9y from both sides

[tex]\\(9y+18)-9y=(11y)-9y\\18=2y[/tex]

divide both sides by 2

[tex]\frac{18}{2}=\frac{2y}{2}\\9=y[/tex]

So, to find angle H, we just need to look back at the expression for the measure of angle H:

[tex]m\angle H = 9y+17\\m\angle H = 9(9)+17\\m\angle H = 81+17\\m\angle H = 98[/tex]

remembering that the angle is measured in degrees (as indicated on the diagram): [tex]m \angle H = 98^o[/tex]

The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

The total amount that can be spent = $1818.50

Rent of bus = $960.50

Cost per player = $35.75/player

So,

Cost of bus + Cost per player × number of players ≤ The total amount that can be spent

960.50 + 35.75p ≤ 1818.50

35.75p ≤ 858

p ≤ 24

Hence "The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24".

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Equation:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

Before she put anything back into her account, she had 29 - 15 = 14 dollars.

She started with 2 * 14 = 28 dollars.

Answer: 28 dollars.

B will be at the place of E after all three rotations. So the correct option is B.

Moving in a circular plane with respect to the fixed point is called as the rotation of the object.

If rotation maps to The three rotations for B will be

The given B after one rotation will shift in place of C

After the second rotation will shift in place of D

After the third rotation will shift in place of E

B will be at the place of E after all three rotations. So the correct option is B.

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Answer:

The correct answer is if you want no roots in the denominator, the correct answer is [tex]\frac{2x}{y}[/tex]* [tex]\sqrt[3]{2y^{2} }[/tex]

Step-by-step explanation:

The mistake is that you can't take a cube root of a square at step 3 when [tex]y^{2}[/tex] is taken out.

Answer:

186

Step-by-step explanation:

x/200 = 0.93

x = 200(0.93)

x = 186

The number of problems that Indigo did answer correctly in the final exam is 186.

Given that:

Indigo earned a grade of 93% on her multiple-choice history final which had a total of 200 problems.

Total number of problems = 200

So, 100% grade = 200 problems

Let x be the number of problems which is answered correctly to get 93%.

Using the proportional concept,

[tex]\frac{x}{200} =\frac{93}{100}[/tex]

Cross multiply,

100x = 93 × 200

Dividing whole by 100,

x = 93 × 2

x = 186

Hence, the number of problems that are answered correctly is 186.

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The value of f(x) = 3x² - 2x at x = 4 is 40.

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.

Here, the given function;

    f(x) = 3x² - 2x

put the value of x = 4, we get

     f(4) = 3 X 4² - 2 X 4

     f(4) = 3 X 16 - 8

      f(4) = 48 - 8

     f(4) = 40

Thus, the value of f(x) = 3x² - 2x at x = 4 is 40.

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Answer:

a⁻⁴ = 1/a⁴

Step-by-step explanation:

1/a⁴

Step-by-step explanation:

please mark me as brainlest

Answer:

I really don't know

Step-by-step explanation:

what is even that

Answer:

1

Step-by-step explanation:

Although you did not give me the answer choices, I believe that the only possible answer is 1 because the only y value the graph is on is 1.

Answer:

-22.2222222222%

Step-by-step explanation:

-0.4/1.8×100

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₓ = a₁ + (x-1)d

where d is the difference and a₁ is the first term of the sequence.

For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.

Hence, the table that represents an arithmetic sequence is the third table.

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Answer:

See below

Step-by-step explanation:

cos  2pi/3   =    -1/2

sin   2pi/3   =     sqrt (3)/2

cos   1 pi/6  =     sqrt(3)/2

sin   11 pi/6  =    - 1/2

so when you put in these values in  you will have :

(2*8) * (-1/2 + sqrt (3)/2 i )( sqrt(3)/2) + i (-1/2) )

= 16 ( - sqrt (3)4  + 1/4 i + 3/4 i - sqrt(3)/4  i^2 )        rememember i^2 =  - 1

= 16 ( 1/4  i  + 3/4  i )

= 16 i

The product of 4 and 5g + 2.34 is 20g + 9.36

The expressions are given as:

4 and 5g + 2.34

As a product expression, we have:

4 * (5g + 2.34)

Evaluate the product

20g + 9.36

Hence, the product of 4 and 5g + 2.34 is 20g + 9.36

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Answer:

[tex]m=4\sqrt{6}[/tex]

Step-by-step explanation:

Step-by-step explanation:

first find the relation between n,m and x

Answer:

5 + 10^5 = 100005 (I think its this one you are looking for

(5 + 10)^5 = 759275

Step-by-step explanation:

Answer:

100,005

Step-by-step explanation:
Original: 10 * 1 = 10

First, you need to do 10 * 10 which = 100.
Next, you need to do 100 * 10 which = 1,000.
Next, you need to do 1000 * 10 which = 10,000.
Next, you need to do 10000 * 100 which = 100,000.
Lastly, you need to add 5 to 100,000 and you get 100,005.


I Hope This Helped :D

Step-by-step explanation:

[tex] = \frac{ \sqrt{12} }{ \sqrt{6} } [/tex]

[tex] = \sqrt{ \frac{12}{6} } [/tex]

[tex] = \sqrt{2} [/tex]

The answer is A.

Table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The unit rate of the graph is;

[tex]r_g = \frac{26-0}{14-0} \\\\ r_g = \frac{13}{7} \\\\ r_g = 1.857[/tex]

The unit rate for the given tables;

[tex]\rm r_1 = \frac{26-13}{14-7}\\\\ r_1 = \frac{13}{7} \\\\ r_1 = 1.857[/tex]

[tex]\rm r_2 = \frac{26-13}{14-7} \\\\ r_2 = \frac{9}{5} \\\\ r_2 = 1.8 < 1.818[/tex]

[tex]r_3 = \frac{34-17}{18-9} \\\\r_3 = \frac{17}{9} \\\\ r_3 = 1.889 > 1.818[/tex]

[tex]\rm r_4 = \frac{42-21}{22-11} \\\\ r_4 = \frac{21}{11} \\\\ r_4 = 1.909 > 1.818[/tex]

[tex]\rm r_5 = \frac{38-19}{20-10} \\\\ r_5 = \frac{19}{10}\\\\ r_ 5 = 1.9 > 1.818[/tex]

[tex]\rm r_6 = \frac{50-25}{26-13} \\\\ r_6 = \frac{25}{13} \\\\ r_6 = 1.923 > 1.818[/tex]

[tex]r_ 7 = \frac{46-23}{24-12} \\\\ r_7 = \frac{23}{12} \\\\r_7 = 1.917 > 1.818[/tex]

Hence, table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.

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The value of sin(30°) is 1/2.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

The diagram is attached below:

We know,

sin 30= Perpendicular/ Hypotenuse.

As, the hypotenuse is the opposite side of the right angle and the perpendicular is opposite to the given angle.

So,

sin 30 = 5/10

sin 30 = 1/2

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The function g(x)=4(x+3)² - 68 is mapped to 32.

An equation is a mathematical expression in terms of one or more unknown variable.

Given are the following functions:

f(x)= - 3x² - 4

g(x)= 4(x+3)²-68

f(x)= 3x

f(x)= 2x-62

To get the mapped function, we substitute the value of x in all function,

a) f(x)=-3x²- 4

Put x=2,

f(2)= -3 (2)² - 4

f(2)= -16

It is not mapped.

b) g(x)=4(x+3)² - 68

Put x=2,

g(2) = 4(2+3)² - 68

g(x) =32

It is mapped to 32.

c) f(x)=3x

Put x=2,

f(2) = 3 x 2 =6

It is not mapped.

d) f(x)=2x - 62

Put x=2,

f(2) =2x2 -62

f(2) = -58

It is not mapped.

Therefore, the function g(x)=4(x+3)² - 68 is mapped to 32.

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Answer:

let difference be x

Step-by-step explanation:

you can solve for x by keeping the 2 statesments as conditions.

then you solve for both equations together by adding subtracting or multiplying.

eg: let x be the number.

the. proceed with conditions as equations

then solve

then your answer is here

Using translation concepts, the values of k are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

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