PLS HELP, it’s due tmrw and I need it done

The solution is 1790 grams

The amount of bismuth left after 10 days if the half life is 5 days will be

1790 grams

What is half-life of an element?

The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value

The decay constant λ is = 0.693/t½

where t½ is the half-life of the element

Given data ,

Let the half life of the element be represented as t½

The value of t½ = 5 days

Now , the initial amount of bismuth N₀ = 7160 grams

The number of days t = 10 days

The amount of bismuth left after 10 days = N( t )

Now , the value of N( t ) is given by the formula ,

N( t ) = N₀ ( 1/2 )^ t/ t½

Substituting the values in the equation , we get

N( t ) = 7160 ( 1/2 )^10/5

N( t ) = 7160 ( 1/2 )²

N( t ) = 7160 / 4

N( t ) = 1790 grams

Therefore , the value of N( t ) is 1790 grams

Hence , the amount of bismuth left is 1790 grams

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The variable x of the equation is 9.6.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

We have to solve the equation for the variable x .

A variable is a number represented with a letter in an equation.

Therefore, let's find the variable x in the equation.

-8 + 2x - 9 + 3x - 10 = 21

combine the like terms

-8 + 2x - 9 + 3x - 10 = 21

- 8 - 9 - 10 + 2x + 3x = 21

-27 + 5x = 21

add 27 to both sides of the equation

-27 + 5x = 21

-27 + 27  + 5x = 21 + 27

5x = 48

divide both sides by 5

5x / 5 = 48  /5

x = 48 / 5

Therefore,

x = 9.6

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Options C and E are correct. The expression can be written in the forms of

We have the length of the room as 12 feet

The width of the room = [tex]10\frac{1}{2}[/tex] feet

The expansion of the = 12 +x

What is the area of a rectangle?

The area of a rectangle is given as lw = length x width

Hence we would have the following:

(12+x)10.5 = area

We would have to open the bracket as well

126 + 10.5x

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Complete question

1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

Using a translation, the graph of the function f(x) = x² + 3 is given by the image at the end of the answer.

Among the many transformations that a function or a figure can undergo is a translation, and other examples are reflections, rotations and dilation.

The difference of a translation from these other transformations is that the only thing that changes for the function is the position. The inclination, orientation and length all remains constant.

The four possible types of a translation are given as follows:

The parent function in this problem is given as follows:

f(x) = x².

Which has the U format of a parabola and a vertex at the origin (3,3).

The translated function is given as follows:

g(x) = x² + 3.

The addition by 3 means that the function was translated up 3 units, as shown in the image given at the end of the answer.

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Answer: 5/8

Step-by-step explanation:

5/8 is already a fraction

The ratio of 2 meters to 76 centimetres is 50: 19.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

In simpler terms, a ratio compares values.

Let's find the ratio of 2 meters to 76 centimetres as follows:

We have to first convert the units so they will be same.

Hence,

1 cm = 0.01 m

76 cm = ?

cross multiply

length in metres = 76 × 0.01

length in metres = 0.76 metres

Therefore, let's multiply the 2 units by 100.

0.76 × 100 = 76 metres

2 × 100 = 200 metres

In ratio, 200 : 76 will be simplified as 50 : 19

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Answer: $5.14

Step-by-step explanation:

divide $539.70 by 105 to get the answer

so 539.70 divide by 105 is 5.14

step1 get rid of the decimal but you will ad it later so

53970

/   105

=514

step2 move the decimal 2 places to the left.

Answer:

that's biology but

Step-by-step explanation:

autotrophs make their owner food

heterotrophs can't make their own food

photosynthesis is the 3rd one

photosynthesis happens in the chloroplast

photosynthesis makes glucose

I can go in depth about any of these, ask me if needed

The coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).

To get the coordinates of a point reflected on the x - axis, some important rules be considered here:

1. The x - coordinate of the reflected point is the same as the x - coordinate of the original point.

2. The y - coordinate of reflected point has opposite sign of y-coordinate of original point.

Example:

(1,9) when reflected on the x - axis it will be (1,-9).

Therefore the  coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).

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The conflict style they used is Collaboration.

Given, that Nikolai wants to take Thomas to a Vietnamese Restaurant (which serves generous portions of inexpensive but delicious food), and Teresa wants to take Thomas to a French restaurant (which serves expensive and beautifully presented food)

To resolve the issue, they decide to flip a coin.

If Nikolai wins the coin toss they will take Thomas to the Vietnamese restaurant and the next time a friend of theirs has a birthday they will take her or him to the French restaurant Teresa likes and If Teresa wins the coin toss, they will go to the French restaurant first and the Vietnamese restaurant later.

Here, we can see that this is a win-win situation as both can go to their favorite restaurant.

So, the conflict style they used is Collaboration. As, Collaboration generates solutions that satisfy both the parties’ needs.

Hence, the conflict style they used is Collaboration.

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Dimensions of the area enclosed is 800 * 800 and the maximum area = 6,40,000 square yards.

Given:

Liana has 3200 yards of fencing to enclose a rectangular area.

Let l and b be the length and width.

we know that:

perimeter of rectangle = 2(l+b)

2l + 2b = 3200

l+b = 1600

b = 1600 - l

Area of rectangle A = lb

= l*1600-l

= 1600 l - l^2

Apply derivative:

dA/dl = 1600 - 2l

1600 - 2l = 0

1600 = 2l

l = 1600/2

l = 800

l+b = 1600

b = 1600 - 800

= 800

Area = 800*800

= 6,40,000

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The inverse of the function f(x) = 1/3x-2 is f^-1(x) = (1 + 2x)/3x.

A function f is has an inverse if it is both one-to-one and onto.

Given the function f(x) = 1/3x-2

we replace f(x) with y and make x the subject of the formula to derive the inverse function f^-1(x) as follows ;

y = 1/3x - 2

by cross multiplication

3x - 2 = 1/y

add 2 to both sides of the equation

3x = 1/y + 2

3x = (1 + 2y)/y

divide both sides of the equation by 3

x = (1 + 2y)/y ÷ 3

x = (1 + 2y)/3y

So, f^-1(x) = (1 + 2x)/3x

Therefore, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = (1 + 2x)/3x.

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Answer:

Theres nothing to see?

Step-by-step explanation:

Answer:

First is one value of x

Second is no values of x

Third is all values of x

Step-by-step explanation:

Please give brainliest!

Step-by-step explanation:

Angel side angle rule (ASA)

Answer:

1. y=2x+3

2. y=5x+3

Step-by-step explanation:

1. to find equation of the line we need the gradient and y-intercept

gradient=2

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

9 = 2(3)+c

9 = 6+c

9-6 = c

c = 3

to write the equation we only input gradient and y-intercept:

y=2x+3

2. to find the equation of the line we need the gradient and y-intercept

gradient=5

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

8 = 5(1)+c

8 = 5+c

8-5 = c

c = 3

to write equation we only input gradient and y intercept:

y=5x+3

The probability that there is a continuous stripe encircling the cube is 3/16.

A single, thin stripe is painted from the center of one edge to the center of the other edge on each face of a cube. Each face's edge pairing is selected independently and at random.

For each of the cube's six faces, there are two possible stripe orientations, resulting in a total of 2 x 6 = 64 possible stripe permutations. Since there are three sets of parallel faces, the stripe orientation for the remaining faces is determined uniquely by the pair of faces that does not contribute to the encircling stripe. Additionally, there are two possible orientations for the stripe on each face that is non-contributing.

A continuous stripe surrounds the cube as a consequence of a total of

3 * 2 * 2 = 12 stripe variations.

The necessary probability is 12/64, which equals 3/16.

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The length of the base when the height is 6 cm is 21 cm .

In the question ,

it is given that ,

the length of the base(b) of the triangle varies inversely with the height(h) ,

which is represented as

b ∝ 1/h

b = k/h

where k is the constant of variation

given that when b = 18 , h is = 7

18 = k/7

k = 18 × 7

k = 126

Substituting , the value of k = 126  in the equation b = k/h  ,

we get ,

b = 126/h

So, the length of the Base When h = 6,

b = 126/6

b = 21

Therefore, the length of the base when the height is 6 cm is 21 cm .

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The radius of the given circle is 7.5 units.

So, use the Pythagorean theorem:

Now, calculate as follows:

So, the diameter is 15 units.

Then the radius is:

Therefore, the radius of the given circle is 7.5 units.

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The required equation of line in standard form that passes through the point (6,-1) and is perpendicular to the line represented by 8x + 3y = 1 is

y = (3/8)x - 13/4

How to find equation of line if one point and equation of perpendicular line is given?

To find the equation of line which is perpendicular to another line

According to the given question:

Let the required equation of line be y = mx + b

where m is the slope of line and b is the y-intercept

Now, 8x + 3y = 1 is perpendicular to the line. Hence, the slopes of both line will satisfy m₁. m₂ = -1

Standard form of the given line is

y = (-8/3)x + 1/3

∴ m₁ = -8/3

Finding m₂, (-8/3). m₂ = -1

∴ m₂ = 3/8 ------ (1)

Using the given point (6, -1) to find y-intercept in the equation

y = (3/8)x + b

-1 = (3/8)(6) + b

∴ b = -13/4

Therefore the required equation of line in standard form is

y = (3/8)x - 13/4

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The first four terms in the sequence are 30, 90, 270 and 810 respectively.

We have that the nth term of the sequence is expressed as;

U = 10 × 3 ^n

Where;

n = number of terms

To determine the first terms, let's substitute the value of n as 1, we get;

U = 10 × 3^1

Multiply the values

U₁ = 30

The second terms, n = 2

U₂ = 10 × 3²

U₂ =  10 × 9

Multiply through

U₂ = 90

The third year, n = 3

U₃ = 10 × 3³

Find the cube of the value and multiply the values

U₃ = 270

The fourth year, n = 4

U₄ = 10 × 3^4

U₄ = 10 × 81

Multiply through

U₄ = 810

Thus, the numbers are 30, 90, 270, 810

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He should invest $86.29 in the account now, which has a 7% interest compounded monthly.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded monthly, and t is the time in number of months

Based on the given information, P is the unknown and

B = $5000

t = 5 years = 60 months

r = 7% = 0.07

n = 1

Plug in the values and solve for P or the amount that should be invested today.

B = P(1 + r/n)^t

$5000 = P(1 + 0.07/1)^60

$5000 = P(1.07)^60

P = $5000/(1.07)^60

P = $86.29

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The height of the candle after 15 hours of burning is 17 cm.

According to the question,

We have the following information:

Height of the candle after 11 hours of burning = 19.4 cm

Height of the candle after 23 hours of burning = 12.2 cm

Now, we will find the rate at which the height of the candle is decreasing. It means that we will find the decrease in height per centimeter.

Difference between hours and height:

23-11 = 12 hours

19.4-12.2 = 7.2 cm

So, we have:

12 hours = 7.2 cm

1 hour = 7.2/12

1 hour = 0.6 cm

So, the height is decreasing at the rate of 0.6 cm per hour.

Now, we have to find the height after 15 hours.

Height at 11 hours = 19.4 cm

Difference between 15 hours and 11 hours is 4 hours.

Change in height = 0.6*4 cm

Decrease in height = 2.4 cm

So, the height after 15 hours:

19.4-2.4

17 cm

Hence, the height of the candle after 15 hours of burning is 17 cm.

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If the functions are equal. Then the value of the variable 'x' will be 1.6.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Let the capability f be characterized as p(x) = - 5(- 3x + 4) and work g be characterized as m(x) = 5x - 2(5x - 6).

If the functions are equal. Then the value of the variable 'x' will be given as,

m(x) = p(x)

- 5(- 3x + 4) = 5x - 2(5x - 6)

15x - 20 = 5x - 10x + 12

15x - 20 = - 5x + 12

20x = 32

x = 1.6

If the functions are equal. Then the value of the variable 'x' will be 1.6.

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Answer:

Step-by-step explanation:

Let y be the distance the car travels, in miles.  Let t be the time traveled, in hours.  The speed is 45 m/h.  We know that the distance the car travels is given by the equation:

Distance = (speed)*(time)

Using the assigned variables, we can rewrite this as:

   d(t)  = (45 m/h)(t hours)

We want an equation that will tell us the position of the car, y, at any time, t, including t = 0, the start.  

d(t) = ?

At time = 0, the starting point of the car is P.  We can write:

d(0) = P

For x[tex]\geq[/tex]0, we would find the car at:

     d(t) = P + (45)*t

The 45 is in units of miles/hour,  t is in hours and d is in miles.  Let's assume an intital position, P, for this car to be 10 miles.  P = 10 miles.

The function is:  d(t) = 10 + (45)*t

If we leave the units in, it can be written as:  d(t) = (10 miles) + (45 miles/hr)*t(in hr)

We can see that the term "(45 miles/hr)*t(in hr)" will eventually reduce to just miles one we enter the time in hours, since the hours cancel out.

The graph of this function is attached.   The line crosses the y axis at 10 (miles) when time, t, is 0 : the car has not started.  

The slope of the graph can be determined by calculating the Rise/Run of the line.  Pick any two points.  I'll choose:  (2,100) and (4,190).

 Rise (change in y) is (190-100) = 90

 Run (change in x) is (4 - 2) = 2

Slope = Rise/Run = (90/2) or 45.

The slope has the same value as the speed, as it should.  The slope is telling us the rate of change, which for this graph, is the speed of the car.  The y-intersect is (0, 10).  The car is at 10 miles at the start (t=0).

To create a scenario where could have a negative value requires some imagination.  There is really no such thing as negative time, except in time travel movies.  But we can define t, perhaps, as the start of a race.  (High noon, for example).  If the cars were allowed to start moving before noon as long as they started back (negative direction) from the starting point of the race.  If t is defined as "hours after 12:00 noon" then a value of t = -1  means 11:00 AM.  If the car were approaching the staring line at 45 miles/hour, ahread of the official start time, the graph would make sense.  Not the race, so much, but the graph would be accurate.

The graph whose domain is positive will not have any x - intercept.

What is graph of a function?

At first it is important to know about function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Graph of a function is the set of all points of the form (x, f(x)).

The graph is positive in its entire domain

f(x) > 0 for all x

So the graph will never cut the x axis at any point.

So the graph will not have any x intercept.

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1a) The additional information required using SAS Congruency postulate is; ∠AOB ≅ ∠BOD

1b) The additional information required using ASA Congruency postulate  is BC ≅ QR

2a) The symbolic form of the congruent triangles is written as;

ΔABC ≅ ΔADC

2b) The congruence rule used is SAS Congruency postulate.

1a) We want to prove that the triangles are congruent by SAS Congruency postulate. SAS congruency postulate means Side - Angle - Side. Thus, the additional information is;

∠AOB ≅ ∠BOD

1b) We want to prove that triangle ABC is congruent to triangle PQR by ASA Congruency. We have that;

∠Q = ∠B and ∠R = ∠C. Thus;

The additional information is BC ≅ QR

2a) The symbolic form of the congruent triangles is written as;

ΔABC ≅ ΔADC

2b) The congruence rule used here is SAS Congruency postulate.

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Answer:

  a) 6 7/8 days

  b) 105 miles

Step-by-step explanation:

Given that L(d) = 209 -8d miles of road remain to be paved after d days, you want to know (a) the number of days paving if 154 miles remain, and (b) remaining miles after 13 days.

We want to find d such that L(d) = 154.

  L(d) = 154

  209 -8d = 154 . . . . . . substitute for L(d)

  209 -154 = 8d . . . . . add 8d-154

  55/8 = d = 6 7/8 . . . divide by 8

The crew has been paving for 6 7/8 days if 154 miles remain.

After 13 days, the remaining miles will be ...

  L(13) = 209 -8·13 = 209 -104

  L(13) = 105

After 13 days, the crew has 105 miles left to pave.

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The expression that equals 2B+C in standard form is 4x² + 6

From the question, we have the following parameters that can be used in our computation:

B = x² + 2

C = 2 + 2x²

The expression to calculate is given as

2B + C

Substitute the known values in the above equation, so, we have the following representation

2B + C = 2x² + 4 + 2 + 2x²

Evaluate the like terms

2B + C = 4x² + 6

Hence, the expression is 4x² + 6

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In longhand notation, the electron configuration is

1s² 2s² 2p6 3s¹

Noble gas configuration

[ Ne ] 3s¹

Complete question:

Choose the electron configuration for sodium (Na) in both longhand notation and noble-gas notation.

What is electron configuration?

The arrangement of electrons in atomic or molecular orbitals of an atom, molecule, or other physical structure is referred to as the electron configuration in atomic physics and quantum chemistry.

In longhand notation, the electron configuration is

1s² 2s² 2p^6 3s¹

Noble gas configuration

[ Ne ] 3s¹

Here, the configuration 1s² 2s² 2p^6 is replaced by [ Ne ].

[ Ne ] represents the electron configuration of [ Ne ].

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Answer:

D) [Ne]3s1

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