You have 80 grams of a radioactive kind of europium. If its half-life is 9 years, how much will be left after 27 years?

Answer:

x = 10

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the angles and equate to 360

9x + 15 + 85 + 90 + 80 = 360, that is

9x + 270 = 360 ( subtract 270 from both sides )

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

20

Step-by-step explanation:

divide shape into 2 rectangles;

Rectangle A: 5.5*3= 16.5

Rectangle B: 1*3.5=3.5

                         9-5.5=length length=3.5

Add RA+RB= your answer

Answer:

[tex]20m{2}[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

[tex]400 \times 25 \div 100 = 100[/tex]

Answer:

[tex]x = 8 \sqrt{3} [/tex]

[tex]y = 60[/tex]

[tex]z = 30[/tex]

Step-by-step explanation:

To find x, use pythagorean theorem,

[tex] {x}^{2} + {8}^{2} = {16}^{2} [/tex]

[tex] {x}^{2} + 64 = 256[/tex]

[tex] {x}^{2} = 192[/tex]

x=13.9 or 8 times sqr root 3( see later)

To find y, use cosine ratio.

[tex] \cos(y) = \frac{8}{16} [/tex]

[tex] \cos(y) = \frac{1}{2} [/tex]

[tex]y = 60[/tex]

To find z, use triangle interior theorem

[tex]90 + 60 + z= 180[/tex]

[tex]150 + z = 180[/tex]

[tex]z = 30[/tex]

Since this a 30-60-90 triangle, side x could be also written as

[tex]8 \sqrt{3} [/tex]

Answer:

-10

Step-by-step explanation:

y= kx

or, k= y/x

or, k = 5/4

k = 1.25

y= kx = 1.25 × (-8) = -10

Answer:

b

Step-by-step explanation:

Answer:

See attached

All points are plotted and we see the figure we got

8. Rectangle

We can visually confirm that

---------------------------------------------------------------------------

9. Square

We can visually confirm that

Answer:

La madre de Marta tiene 45 años.

Step-by-step explanation:

X = edad de mamá de Marta

15 = 1/3 X

(15)(3) = X

45 = X

Answer:

Area of sector DFE = 177.79cm²

Area of sector DGE = 437.65cm²

Step-by-step explanation:

Find the diagram attached;

Area of the sector is expressed according to the formula;

Area of the sector = theta/360 * πr²

theta is the central angle = 360 - 256

theta = 104°

r is the radius = 14cm

Substitute into the formula as shown;

Area of the sector = theta/360 * πr²

Area of the sector DFE = 104/360 * 3.14(14)²

Area of the sector DFE = 0.289 * 615.44

Area of the sector DFE = 177.79cm²

Hence the area of the sector <DFE to the nearest hundredth is 177.79cm²

For sector DGE:

Area of the sector DGE = 256/360 * 3.14(14)²

Area of the sector DGE = 0.7111 * 615.44

Area of the sector DGE = 437.65cm²

Hence the area of the sector <DGE to the nearest hundredth is 437.65cm²

Answer:

I um need the question to answer.

Step-by-step explanation:

Given:

The equation is

[tex]y=2+4(x-3)[/tex]

To find:

The slope intercept form of the given equation.

Solution:

We have,

[tex]y=2+4(x-3)[/tex]

Step a: Distribute 4 through the parentheses.

[tex]y=2+4(x)+4(-3)[/tex]

[tex]y=2+4x-12[/tex]

Step b: Simplify by combining like terms.

[tex]y=4x+(2-12)[/tex]

[tex]y=4x-10[/tex]

Step c: Is the equation in the form [tex]y = mx + b[/tex]? If not, rewrite it.

The equation [tex]y=4x-10[/tex] in the form of [tex]y = mx + b[/tex].

Therefore, the slope intercept form of the given equation is [tex]y=4x-10[/tex].

The coldest temperature ever recorded on earth is -89.2 degrees Celsius (-128.5 degrees Fahrenheit) at Vostok, Antarctica on July 21, 1983. That all-time low broke the previous world-record minimum of -88.3 °C (-126.9 °F), set on August 24, 1960, also at Vostok.

Vostok is a Russian research station located high in the middle of the East Antarctic ice sheet, about 1,300 kilometres from the geographic South Pole.

This is a place where the sun doesn't rise during winter. Besides being extremely far south, the station's high elevation, at 3,420 metres (11,220 feet), helps it get really cold.

The conditions that caused the temperature to drop exceptionally low at Vostok in July 1983 were clear skies accompanied by calm air. Vertical mixing of the air was minimal and no wind had stirred for some time.

Vostok is not an outlier in the Antarctic temperature regime. On July 20th, 1968, the temperature at another high elevation research base, called Plateau Station, sank to -86.2 °C (-123.1 °F).

Answer:

w=-5

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Answer:

In seven years the hourly rate will be $15.79.

Step-by-step explanation:

Giving the following information:

Hourly rate= $10.5

Number of periods= 7 years

Increase rate (i)= 6%

To calculate the hourly rate in 7 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 10.5*(1.06^7)

FV= $15.79

In seven years the hourly rate will be $15.79.

Answer:

D

Step-by-step explanation:

sum of ratio=2+3=5

Mpho gets=3/5×20=12

Answer:

n = √75

Step-by-step explanation:

n is the altitude of the right triangle.

Thus:

n = √(15*5) (right triangle altitude theorem/geometric mean theorem)

n = √75

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

Answer:

[tex] \frac{1}{ {12}^{3} }[/tex]

Step-by-step explanation:

[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]

Answer:

32/40 = 24/x  

x=30

Answer:

30

Step-by-step explanation:

32x= 40•24

32=960

X=30

Answer:

A) -4/5

Step-by-step explanation:

( -8, 10) and ( -3, 6)

Slope:

m=(y2-y1)/(x2-x1)

m=(6-10)/(-3+8)

m= (-4)/5

m = -4/5

Answer:

it would have to be b

Step-by-step explanation:

a is too close to 4

c is before 3

and d is obviously not it so it's b

Answer:

A -3

Step-by-step explanation:

-2 x -3 = 6

6 x -3 = -18

-18x -3 = 54

Answer:

see explanation

Step-by-step explanation:

(1)

The common ratio r of a geometric sequence is

r = [tex]\frac{a_{2} }{x_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] , so

[tex]\frac{x+1}{x-1}[/tex] = [tex]\frac{x}{x+1}[/tex] ( cross- multiply )

(x + 1)² = x(x - 1) ← expand both sides

x² + 2x + 1 = x² - x ( subtract x² - x from both sides )

3x + 1 = 0 ( subtract 1 from both sides )

3x = - 1 ( divide both sides by 3 )

x = - [tex]\frac{1}{3}[/tex]

(2)

r = [tex]\frac{x}{x+1}[/tex] = [tex]\frac{-\frac{1}{3} }{-\frac{1}{3}+1 }[/tex] = [tex]\frac{-\frac{1}{3} }{\frac{2}{3} }[/tex] = - [tex]\frac{1}{2}[/tex]

(3)

If - 1 < r < 1 then the sequence will converge

r = - [tex]\frac{1}{2}[/tex] meets this criteria , thus the sequence is convergent

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Areas,

Let's divide the above map in to 2 parts , that is a rectangle and a triangle, and add both thier areas to get the area of the Nevada.

so we get as,

Area of triangle = 1/2*b*h

Area of triangle ==> 1/2*309*306 ==> 47277 mi^2

Area of rectangle = l*b = 205*309 ==> 63345 mi^2

Area of NEVADA = 47277 + 63345 = 110622 mi^2

hence the area = 110622 mi^2

Answer:

the approximate area of Nevada is 110,567 mi²

Answer:

d = A or 49

Step-by-step explanation:

25^2 =625

24^2 = 576

625-576= 49 or 7^2