Element X decays radioactively with a half life of 15 minutes. If therd are 230 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 33 grams?

Answer:

B = 12

Step-by-step explanation:

Give Brainllest plz

Answer:

x = 6

y = -3

Step-by-step explanation:

15x + 31y = -3

we are given that x =( - y + 3 )

so in the equation 15x + 31y = -3 we substitute "x" for ( -y + 3 ) and we solve for y

so 15 ( -y + 3 ) + 31y = -3

now we use basic algebra to solve for y

step 1 distribute the 15

15 * -y = -15y

15 * 3 = 45

now we have 45 - 15y + 31y = -3

step 2 combine like terms

-15 + 31y = 16y

now we have 45 + 16y = -3

step 3 subtract 45 from each side  

-3 - 45 = -48

45 - 45 cancels out

now we have 16y = -48

step 4 divide each side by 16

16y/16=y

-48/16=-3

we're left with y = -3

Now to find x we substitute -3 for y in x  = -y + 3

* substitute *

x = - ( -3) + 3

the two negative signs cancel out and we get x = 3 + 3

3 + 3 = 6

we're left with x = 6  

Answer:

X4

Step-by-step explanation:

Answer:

It is shifted 4 units down

Answer:

hello the figure related to your question is missing attached below is the missing figure

answer : 157.08 m^2

Step-by-step explanation:

Calculate the area of the shaded area

= Area of the large circle - Areas of the small circles

= (( [tex]\frac{\pi }{4}[/tex] ) * D^2) - 2(  ( [tex]\frac{\pi }{4}[/tex] ) * d^2 )     given that the small circles are congruent

= (( [tex]\frac{\pi }{4}[/tex] ) * 20^2 ) - 2 ( ( [tex]\frac{\pi }{4}[/tex] ) * 10^2 )

= 314.16 - 157.08

= 157.08 m^2

Answer:

a = 38 degree

b = 54 degree

c = 54 degree

Step-by-step explanation:

a = 180 - 142 = 38 ( angle on a straight line is equal to 180)

To determine the value of b, we have to find the other missing angle in the triangle.

the value of the missing angle is 38

Alternate angles are equal. the missing angle is alternate to angle b which has a value of 38

b = 180 - (38 + 88) = 54

c = 54

Answer:

I'm not 100% sure, but I think the answer is 10 units squared.

Step-by-step explanation:

Find the area of each triangle, by multiplying each side, and dividing the answer in half. Add both of the triangles together, ending up as 6. Now we just find the area of the square. 2x2=4, add that to both of the triangles, and we're done. (2x2) ÷ 2 = 2 | (2x4) ÷ 2 = 4 | 2x2 = 4 | 4+4+2=10

Answer:

area=10 units^2

Step-by-step explanation:

[tex]a=\frac{(2+2+4)+(2)}{2} *2\\ =\frac{8+2}{2} *2\\ =\frac{10}{2} *2\\ =5*2\\ =10[/tex]

a=10 units^2

Answer:

i am not certain but i think i am correct

LA- 131.88

SA- 188.4

V- 197.82

Step-by-step explanation:

LA-

2×3.14= 6.28

6.28×3= 18.84

18.84×7= 131.88

SA-

2×3.14= 6.28

6.28×3= 18.84

18.84×7= 131.88

2×3.14= 6.28

6.28×3= 18.84

18.84×3= 56.52

56.52+131.88= 188.4

V-

3.14×3= 9.42

9.42×3= 28.26

28.26×7= 197.82

as i said i am not sure if this is right

Answer:

162, sorry if this is wrong

Step-by-step explanation:

Answer:

y=-4.2

Step-by-step explanation:

2.9=7.1+y

2.9-7.1=7.1-7.1 +y

-4.2=y or y= -4.2

y = -4.2

If you substitute that value for y into the equation, you'll get 2.9 = 7.1 + (-4.2)... and that is a correct, valid equation. HOPE THAT HELPS!

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

w = 120 + 5(h - 30).  

So, if he works 35 hours, he will earn:

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

If he works 42 hours, he will earn:

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

I hope this helps!

Answer and Step-by-step explanation:

Yes, all of your calculations are correct!!

The area of one rectangle is 192, and since there are 2 rectangles, we multiply 192 by 2, which results in 384.

The area of a triangle is [tex]A = \frac{(Height)(Base)}{2}[/tex], which you got to be 96.

The Semi Circle would have half of the area of a circle, so you are correct when you multiply the equation by [tex]\frac{1}{2}[/tex].

To find that diameter, we need to use the Pythagorean Theorem.

[tex]12^{2} + 16^{2} = d^{2} \\\\144 + 256 = d^{2} \\\\400 = d^2\\\\d = 20[/tex]

So the diameter is 20, and the radius is 10 (20 divided by 2 = radius).

Plug that into the equation, and you get the answer to be [tex]50\pi[/tex], or 157.0796327.

157.0796327 + 384 + 96 = 637.08 (rounded to the nearest hundredth).

Good job!

#teamtrees #PAW (Plant And Water)

Answer:

the answer is 1

Step-by-step explanation:

Answer:

It's really easy, just need to multiply and add the symbol of the multiplication, the answer is: 1

-35+36=1

Answer:

A) 30π mi²

Step-by-step explanation:

area of full circle = πr² = (3.14)(6²) = 113.04 mi²

area of 5π/3 segment = (113.04)(5π/3)/2π) = 94.2 mi² = 30π mi²

Volume = rule area × height

__________________________

The rule is circle and the area of the circle finds using following formula :

Circle area = pi × radius^2

Circle area = 3.14 × 1^2

Circle area = 3.14

___________________________

Volume = 3.14 × 10

Volume = 31.4 in^3

The volume of cylinder having diameter 1 inches and height be 10 inches be 31.4 cubic inches.

Volume is amount of substance a container can hold in its capacity. Volume of cylinder is π[tex]r^{2} h[/tex] in which r is radius and h is height of cylinder.

We have been given that the diameter of cylinder be 2 inches and height be 10 inches.We have to find the volume of cylinder.

Volume of cylinder=π[tex]r^{2} h[/tex]

Radius=2/2

=1 inch

Now put the value of radius and height in the formula of volume.

Volume=3.14*1*10

=31.4 cubic inches.

Hence the volume of cylinder is 31.4 inches.

Learn more about volume at https://brainly.com/question/463363

#SPJ2

Answer:

[tex]\angle\ ABC=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]

[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]

[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]

[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]

[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]

[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]

Answer:

x = 5 or -1

We reject the second answer of x = -1

This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable

So our only correct answer here is x = 5

Step-by-step explanation:

From the logarithmic rules;

log a - log b = log (a/b)

Applying this here, we have;

log4(x^2-4/4x+ 1) = 0

(x^2-4)/(4x+ 1) = 4^0

(x^2-4)/(4x + 1) = 1

x^2 -4 = 1(4x + 1)

x^2 -4 = 4x + 1

x^2 - 4x -4-1 = 0

x^2 -4x -5 = 0

x^2+ x -5x -5 = 0

x(x + 1) -5(x + 1) = 0

(x-5)(x + 1) = 0

x = 5 or -1

Answer:

basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Its inside the circle

Step-by-step explanation:

Thats the answer on khan (RIP me i searched this up to get the answer and got it wrong to answer the right answer...)

Answer: Inside the circle

Step-by-step explanation: Khan Academy

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

Answer:

D. 144 m^3

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

Answer: [tex]10\ cm^3[/tex]

Step-by-step explanation:

Given

The surface area of a rectangular prism is [tex]34\ cm^2[/tex]

Width of prism [tex]w=1\ cm[/tex]

Length of prism [tex]l=2\ cm[/tex]

height of prism [tex]h=x\ cm[/tex]

Surface area is given by

[tex]S.A.=2[lw+wh+hl][/tex]

Put values

[tex]34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm[/tex]

Now, the volume of Prism is given by

[tex]V=l\times w\times h[/tex]

[tex]\Rightarrow V=2\times1\times 5=10\ cm^3[/tex]

Answer:

Every time a new piece of equipment is added to the system, if ifs not properly optimized within the scope of the entire system, you'll end up with wasted energy and operational inefficiencies

Answer:its an integral where the function to be integrated is evaluated along a curve. Various different line integrals are in use. In the case of a closed curve it is also called a contour integral. The function to be integrated may be a scalar field or a vector field.

Step-by-step explanation:

hope this helps

Answer:

100m^2

Step-by-step explanation:

square has equal sides.

To find the area of the square, the formula is:

Area= length times width

So for square ABCD, 10*10=100m^2

Answer:

its C

Step-by-step explanation:

Answer:

37.45'

Step-by-step explanation:

The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then

tan( 31°) = Height / base, with the base representing the width of the trench

base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench

Answer:

The value of t is 53

Step-by-step explanation:

t + 464 = 517

t = 517 - 464

t = 53

Thus, The value of t is 53

-TheUnknownScientist