QRST is a rectangle. If RT = 4x - 16 and SQ = x + 5, find the value of x.

The question is incomplete, here is the complete question:

The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.

When will there be less than 1 g remaining?

Answer: The time required for a radioactive substance to remain less than 1 gram is 168.27 days.

Step-by-step explanation:

All radioactive decay processes follow first order reaction.

To calculate the rate constant by given half life of the reaction, we use the equation:

[tex]k=\frac{0.693}{t_{1/2}}[/tex]

where,

[tex]t_{1/2}[/tex] = half life period of the reaction = 46 days

k = rate constant = ?

Putting values in above equation, we get:

[tex]k=\frac{0.693}{46days}\\\\k=0.01506days^{-1}[/tex]

The formula used to calculate the time period for a first order reaction follows:

[tex]t=\frac{2.303}{k}\log \frac{a}{(a-x)}[/tex]

where,

k = rate constant = [tex]0.01506days^{-1}[/tex]

t = time period = ? days

a = initial concentration of the reactant = 12.6 g

a - x = concentration of reactant left after time 't' = 1 g

Putting values in above equation, we get:

[tex]t=\frac{2.303}{0.01506days^{-1}}\log \frac{12.6g}{1g}\\\\t=168.27days[/tex]

Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.

Answer: 254.34 cm²

Step-by-step explanation:

Area of a circle: πr²

(3.14)9² = 3.14 × 81 = 254.34

Area of the circle ≈ 254.34 cm²

Given:

11. [tex]\Delta DCB\cong \Delta CDM[/tex]

13. [tex]\Delta CBA\cong \Delta STA[/tex]

To find:

The missing values to complete the congruence statements:

11. [tex]\overline{BD}\cong \_\_\_\_\_[/tex]

13. [tex]\angle BAC\cong \_\_\_\_\_[/tex]

Solution:

11.

We have,

[tex]\Delta DCB\cong \Delta CDM[/tex]

Here, vertices D, C, B are corresponding to C, D, M. So,

[tex]\overline{BD}\cong \overline{MC}[/tex]

Therefore, the complete statement is [tex]\overline{BD}\cong \overline{MC}[/tex].

13.

We have,

[tex]\Delta CBA\cong \Delta STA[/tex]

Here, vertices C, B, A are corresponding to S, T, A. So,

[tex]\angle BAC\cong \angle TAS[/tex]

Therefore, the complete statement is [tex]\angle BAC\cong \angle TAS[/tex].

Answer:

0.0002

Step-by-step explanation:

Answer:

0.0002

Step-by-step explanation:

So x=6/5 and y=-2.8

place the values of x on the equation and you will find y as -2.8

Answer:

First Column: 8

Third Column: 24

Fourth Column: 4

Fifth Column (from top to bottom): 32; 0

This means that:

[tex](3x^3-25x^2+12x-32)\div (x-8)=3x^2-x+4[/tex]

Step-by-step explanation:

We can perform synthetic division when we divide a polynomial P(x) by a binomial in the form of (x - a).

When doing so, the number that goes to the very left of our structure will be the constant a.

We fill the first row with the coefficients of each term.

We are dividing [tex]3x^3-25x^2+12x-32[/tex] by [tex]x-8[/tex].

So, a = 8.

Therefore, for the first column, the number there is 8.

The second column has been filled out.

For the third column, we multiply the previous number by our a.

The previous number is 3. 3(8) is 24.

So, the number in the third column is 24.

(And we add 24 to -25 to acquire -1).

So, for the fourth column, we will add the two numbers to acquire (12 - 8) = 4.

Hence, the number for the fourth column is 4.

For the fifth column, the top box, it will again be the previous number multiplied by our a.

The previous number is 4. 4(8) is 32.

So, the number in the top box of the fifth column is 32.

And when added to -32, it equates to 0. Hence, the second box of the fifth column is 0.

This means that:

[tex](3x^3-25x^2+12x-32)\div (x-8)=3x^2-x+4[/tex]

Answer:

[tex] \frac{(3 {x}^{3} - 25 {x}^{2} + 12x - 32)}{(x - 8)} = (3 {x}^{2} - x + 4)\\[/tex]

Answer:

y = 3√14 unit

... . . . ... . .

I hope it helps you

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Answer:

1+3+5

Step-by-step explanation:

I think

Answer:

25cm2

Step-by-step explanation:

Answer:

Whats the answer?

Step-by-step explanation:

Answer:

F= (0,5)

G=(10,5)

H=(0,0)

Answer:

OK READY

78329814634803265r36+++++====== wduyiewqbd73892dbd

Step-by-step explanation:

your welcome

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Answer:

Step-by-step explanation:

A parabola that opens downward has a second derivative that is negative everywhere. The interval of negative concavity is 'all real numbers', (-∞, ∞). There is no interval of positive concavity.

The reciprocal of 1/5 is 5.

Reciprocals are numbers than when multiplied equal a product of 1.  In this question, 1/5 * 5 = 1.  An easy trick for finding reciprocals is flipping a fraction.

Hope this helps!!

Answer:

75 posters

Step-by-step explanation:

Given

[tex]y = 3x[/tex] ----  Revenue

[tex]y = \frac{x}{3} + 200[/tex] --Cost of production

Required

Determine the number of posters that when cost equals revenue

To do this, we simply equate both equations

i.e. [tex]3x = \frac{x}{3} + 200[/tex]

Collect like terms.

[tex]3x - \frac{x}{3} = 200[/tex]

Multiply through by 3

[tex]3(3x - \frac{x}{3}) = 200*3[/tex]

[tex]9x - x = 600[/tex]

[tex]8x = 600[/tex]

Divide both sides by 8

[tex]\frac{8x}{8} = \frac{600}{8}[/tex]

[tex]x = \frac{600}{8}[/tex]

[tex]x = 75[/tex]

Answer:

b

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

To  find the mean you add all the numbers together then divide by the total of number so 5

Answer:

[tex]y = \frac{-3}{2}x - 14[/tex]

Step-by-step explanation:

(-4 , -8)  ;  slope = (-3/2)

Equation of the line: y - y₁ = m( x- x₁)

[tex]y - [-8] = \frac{-3}{2}(x - [-4])\\\\y + 8 = \frac{-3}{2}(x +4)\\\\y + 8 = \frac{-3}{2}x +(\frac{-3}{2})*4\\\\y + 8 = \frac{-3}{2}x - 3 * 2\\\\ y = \frac{-3}{2}x -6 -8\\\\y = \frac{-3}{2}x - 14[/tex]

Answer:

(2y * 2y) * (2y * 2y) * (2y * 2y)

Step-by-step explanation:

Answer:

g=b+4+2h/2

explanation:

first expand the brackets

let g be the subject of the equation

Answer:

If you need the explanation, just ask.

Answer:

a pie graph shows frequences in categories as sectors of a whole.

Explanation:

a pie graph / chart is a circle divided into sectors. Each sector represents a category of data. The area of each sector is proportional to the frequency of the category.

Answer:

A Circle Graph

Step-by-step explanation:

A Circle Graph would be like a pie chart but the correct name is a CIrcle Graph

No, modern train cannot travel on old railroad.

Step-by-step explanation:

In rail transport, track gauge is the spacing of the rails on a railway track and is measured between the inner faces of the load-bearing rails.

Most of the modern train are based on broad gauge. The separation in broad gauge is about 5 ft and 6 inches and in the standard gauge the separation between the tracks is 4 ft and  inches. So for the modern train it is not possible to travel on the tracks whose separation is no more than 4.5 feet.

Answer:

ln(25x)

Step-by-step explanation:

ln(x) + 2ln(5)+ln(1) = ln(x) + ln(5^2) + ln(1)

= ln(x*5^2*1) = ln(25x)

Answer:

$1489.10

Step-by-step explanation:

1668.93 x 0.07 - 65

Tax = 116.83

1668.93 - 116.83 - 63

Answer = $1489.10

Answer:

x = 39

y = 39

since the sides are congruent the angles are also equal.

Answer:

Bro it is not so clear ........

wait the answer is b

Answer:

1,2

Step-by-step explanation:

The place-value chart's two tenths closest to 0.446 is 0.4. We can determine the place value of each digit based on its location in a number using the place value chart, which is a very useful table structure.

The place value chart is a very helpful table structure that enables us to determine each digit's place value based on where it is in a number. On the place value chart, a digit's place value increases as we move left and drops as we move right by a factor of ten.

Using a place value chart, we may compare the place values of the digits in a number and determine a digit's exact position. In this graph or figure, the place value of a number's digits increases as we move to the left and drops as we move to the right.

Given

0.446

In ones place is 0

In tens place is 4

In hundredth place is 4

In thousand place is 6

Therefore, The place-value chart's two tenths closest to 0.446 is 0.4.

To learn more about place value chart refer to:

https://brainly.com/question/12386995

#SPJ2

Answer:

65

Step-by-step explanation: