In three years, 30% of a radioactive element decays. Find its half-life. (Round your answer to one decimal place.) yr

Answer:

2 sqrt(2)

Step-by-step explanation:

h(x) = 2x-8

g(x) = sqrt( x-4)

g(h(10))

First find h(10)

h(10) = 2*10 -8 = 20-8 =12

Then find g(h(10) = g(12) = sqrt( 12-4)

                                = sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

[tex]5\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]

Answer:

[tex]\boxed{ 5\frac{3}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]

[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]

[tex]\displaystyle 4 \times \frac{7}{5}[/tex]

[tex]\sf Multiply.[/tex]

[tex]\displaystyle \frac{28}{5}[/tex]

[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]

[tex]\displaystyle 5\frac{3}{5}[/tex]

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

1701.8628662 - 8.5% = 1557.20452257

1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

For number of bags, divide total area by the area 1 bag can cover.

480 / 12 = 40 total bags.

Now for total weight, multiple total bags by weight per bag:

40 bags x 40 pounds = 1,600 total pounds.

A = 40 bags

B = 1,600 pounds

Answer:

approximately 5.36

Step-by-step explanation

20 - 9.28 = 10.72

BD = EC

10.72/2 = 5.36

Answer:

Linear function

Step-by-step explanation:

5 x 4 = 20

20 x 4 = 80

80 x 4 = 320

Answer:

y<-8

Step-by-step explanation:

y<-1 - 7

y<-8

Answer:

y < -8

Step-by-step explanation:

To solve an inequality, we must get the variable, y, isolated on one side of the inequality.

[tex]y+7 < -1[/tex]

7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.

[tex]y+7-7< -1-7[/tex]

[tex]y < -1-7[/tex]

[tex]y < -8[/tex]

The solution to the inequality is: y< -8

Answer:

The tragedy of the commons in fourteenth-century England was overcome by the common lands being enclosed and privatized.

Step-by-step explanation:

The Commons tragedy refers to a popular economic narrative that explains why common assets appear to be overused from a social point of view. The story-line is focused on the premise that each person tries to get as much profit as possible from the available resource. As per the question, the land available for grazing was limited and solution can be opted through enforcing regulations, auctioning out a limited number of licenses, or transforming the common good into a private good.

Answer:it is 5/7

Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7

Answer:

slope = [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)

m = [tex]\frac{3+2}{9-2}[/tex] = [tex]\frac{5}{7}[/tex]

Answer:

-2y(y + 4)

Step-by-step explanation:

-10y^2 - 3y - (5y - 8y^2)

= -10y^2 - 3y - 5y + 8y^2

= -2y^2 - 8y

= -2y(y + 4)

Answer:

[tex]\boxed{to\ explain\ the\ most\ important\ ideas\ in\ the\ text}[/tex]

Step-by-step explanation:

The purpose of the central idea is to explain the central/most important ideas in the theme. Central idea provides the explanation of the most important i.e. central ideas of the text. So, the central idea provides the explanation of central ideas of the text as the name indicates.

Answer:

to explain the most important ideas in the text

Step-by-step explanation:

the person above me is corrwct

Answer:

d

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AX = 2 × 64° = 128°

The secant- tangent angle ACB is half the difference of the measures of its intercepted arcs, thus

∠ ACB = [tex]\frac{1}{2}[/tex] ( 152 - 128)° = 0,5 × 24° = 12° → d

Answer:

1/6

Step-by-step explanation:

there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]

Answer:

Rockefeller HS = 31%

Clayton West = 51%

Clayton South = 18%

Step-by-step explanation:

Given the following:

Championship wins shared by 3 basketball teams :

Rockefeller HS = 12

Clayton West = 20

Clayton South = 7

Percentage of total wins each team has :

Total number of wins = (12 + 20 + 7) = 39 wins

Percentage wins :

[(Number of wins per team) / total number of wins)] × 100

Rockefeller HS:

(12 / 39) * 100 = 30.769% = 31%

Clayton West :

(20/39) * 100 = 51.28% = 51%

Clayton South:

(7/39) * 100 = 17.948% = 18%

Answer:

5.36

Step-by-step explanation:

tan 15 = x / 20

x = 40 - 34.64

x = 5.36

Answer:

Part A : see composition process below

Part B :    [tex]Domain=\{x\,|\,x\neq 0\}[/tex]

Step-by-step explanation:

Part A

Let's use the composition of functions to find if they give the identity : [tex]f(g(x))=x[/tex]  thus proving they are the inverses of each other:

[tex]f(g(x))=f(\frac{5x+1}{x} )=\frac{1}{\frac{5x+1}{x}-5} =\frac{1}{\frac{5x+1-5x}{x}} =\frac{1}{\frac{1}{x} } =x[/tex]

So we have proved they are the inverses of each other.

Part B

Given that the composition is:

[tex]f(g(x))=\frac{1}{\frac{1}{x} }[/tex]

the Domain must exclude x=0, for which this quotient is undefined.

The Domain is then:

[tex]Domain=\{x\,|\,x\neq 0\}[/tex]

Answer:

The 8 pack is the better deal.

Step-by-step explanation:

To get the answer you do the following:

Find the price of one pack for each;

1/12*5= $0.42( cost of one pack for the 12 pack part)

1/8*3= $0.38( cost of one pack for the 8 pack part)

The answer is that the 8 pack is cheaper .

Answer:

3/5

Step-by-step explanation:

What divisor is represented by the synthetic division below? x + 5. One factor of  x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5  3.

The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

The rational root theorem is used to determine the possible rational roots of a polynomial function

The equation of the function is given as:

[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]

Considering a polynomial function, f(x).

Such that:

[tex]f(x) = px^n + .......... +q[/tex]

The possible rational roots are:

[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

So, we have:

[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]

List the factors of 3 and 5

[tex]Roots =\pm \frac{1,3}{1,5}[/tex]

Split

[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]

Simplify

[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

Hence, the potential rational roots are:

[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

Read more about potential rational roots at:

https://brainly.com/question/7594092

Answer:

John ran at a faster rate

Step-by-step explanation:

If john runs 1/2 mile in 5 minutes, then for him to run 1 mile it would take 10 minutes because it takes john 5 minutes for every half of a mile. Now Al runs 1/3 mile in 4 minutes. If he would run 1 mile, it would take him 12 minutes because it takes him four minutes every third mile.  

1/3 : 4    =       3/3 : 12        Al

1/2 : 5    =     2/2 : 10           John

From both of the rations John ran faster

Answer:

Kindly see explanation

Step-by-step explanation:

Given the following :

Amount of water in cooler = 144 ounces

Size of Will's water bottle = 16 ounces

Therefore, the amount of water left after filling his water bottle :

144 ounces - 16 ounces = 128 ounces of water.

The 128 ounces left was used to equally fill 16 plastic cups :

Therefore the number of ounces of water put in each cup equals :

(128 ounces ÷ 16 cups) = 8 ounces.

The maximum number of ounces of water will could have put in each cup is 8 ounces

Thus (0 < x ≤ 8)

See graph below

Answer:

  (3.5, 17)

Step-by-step explanation:

It would be nice to see the whole graph, so we can see where the functions cross.

Without that information, we can still eliminate unreasonable choices.

A) the quadratic at y=3.5 is well above the exponential

B) the most likely choice (3.5, 17)

C) at x=-8, the quadratic is above the exponential

D) neither graph goes anywhere near y = -8

Answer:

Below

Step-by-step explanation:

Imagine our window has 4 panes (picture below)

Let T be the total number of panes:

There are 12 windows at total.

●T = 4×12

Notice that:

● 4 = 2×2

● 12 = 4×3 = 2×2×3

● T = 2×2×2×2×3 = 2^4×3

Answer:

d = √8

d ≈ 2.82843

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in our coordinates into the distance formula:

[tex]d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}[/tex]

[tex]d = \sqrt{(2)^2+(-2)^2}[/tex]

[tex]d = \sqrt{4+4}[/tex]

[tex]d = \sqrt{8}[/tex]

To find the decimal, simply evaluate the square root:

√8 = 2.82843

Answer:

Step-by-step explanation:

Let the points be A and B

A ( - 5 , - 6 ) ⇒ ( x₁ , y₁ )

B ( -3 , - 8 )⇒( x₂ , y₂ )

Now, let's find the distance between these two points:

AB = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

⇒[tex] \mathsf{ \sqrt{( - 3 - ( - 5) )^{2} + {( - 8 - ( - 6))}^{2} } }[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒[tex] \mathsf{ \sqrt{ {( - 3 + 5)}^{2} + {( - 8 + 6)}^{2} } }[/tex]

Calculate

⇒[tex] \mathsf{ \sqrt{ {(2)}^{2} + {( - 2)}^{2} } }[/tex]

Evaluate the power

⇒[tex] \mathsf{ \sqrt{4 + 4} }[/tex]

Add the numbers

⇒[tex] \mathsf{\sqrt{8} }[/tex]

Simplify the radical expression

⇒[tex] \mathsf{ \sqrt{2 \times 2 \times 2}} [/tex]

⇒[tex] \mathsf{2 \sqrt{2} }[/tex] units

Hope I helped!

Best regards!

Answer:

Adult=1,385.71

Children=814.29

Approximately

Adult=1386

Children=814

Step-by-step explanation:

c= number of children

a= number of adults

Admission fee for children=$4.50

Admission fee for adults=$8.00

Total attendees=2200

Total amount realized=$5050

We need two equations to solve the two unknowns

c + a=2200 (1)

4.50c + 8.00a=5,050 (2)

From (1)

c + a=2200

c=2200 - a

Substitute c=2200 - a into (2)

4.50c + 8.00a=5,050

4.50(2200 - a) + 8.00a=5050

9900 - 4.50a +8.00a=5050

Collect like terms

9900-5050= -4.50a+8.00a

4,850=3.5a

Divide both sides by 3.5

1,385.71=a

Substitute a=1,385,71 into (1)

c + a=2200

c+1385.71=2200

c=2200-1385.71

=814.29

c=814.29

Answer:

Table B represents a linear function.

Step-by-step explanation:

Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.

Answer:

Step-by-step explanation:

how do i circle? i know answer but how to tell you?

Answer:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

Step-by-step explanation:

[tex]2x^{2} -x +15[/tex] = 0

Use the quadratic formula:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

I hope this helps...

And plz mark me brainliest!!1

Answer:

05/3

Step-by-step explanation:

5/3 = 1.66

Answer:

5/3

Step-by-step explanation:

a= 3 and b= 5

b/a

5/3