how many days after the activity is 86 decays/min will it reach 8 decays/min ? express your answer in days.

Algebraic expressions are mathematical statements made up of variables, constants, and operations, which can be simplified to -17x²+4x+5.

Given expression: -10x²+4x-7x²+5.A mathematical statement made up of variables, constants, and mathematical operations is known as an algebraic expression. It stands for a mixture of numbers and letters, where the letters are called variables and they can have various values. In algebra, relationships are represented and calculations are done using algebraic expressions.

The given expression can be simplified as:

Adding the like terms together,

we get,-10x²-7x²+4x+5

= -17x²+4x+5

Thus, the simplified expression is -17x²+4x+5.

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Answer:

C. (1, -2)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).

∴ our answer is C.

Answer:

C. (1,-2)

Step-by-step explanation:

with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)

hope this helps! lemme know if you need more

Answer:

13/4 or 3 1/4

Step-by-step explanation:

Make into improper fractions:

4x3+1 = 13, 1x3+1 = 4

13/3 ÷ 4/3

Dividing fractions rule: ALWAYS make the second one a reciprocal (flip the fraction) and then change the sign. Remember KCC, Keep, Change, Change.

So: 13/3 x 3/4

The 3's cancel leaving you with 13/4 or 3 1/4

Hope that helps. Brainliest is appreciated

Step-by-step explanation:

We have that

\((x + \frac{1}{x} ) {}^{2} = 3\)

We are trying to find the number value so that we can apply in the later equation.

Qe first simplify.

Remeber that

\((a + b) {}^{2} = a {}^{2} + 2ab + {b}^{2} \)

Also remeber that

\( \frac{1}{x} = {x}^{ - 1} \)

so

\((x + x {}^{ - 1} ) {}^{2} = {x}^{2} + 2x {}^{0} + {x}^{ - 2} = 3\)

We then simply remeber that x^0=1 so

\( {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 3\)

Multiply both sides by x^2.

\( {x}^{4} + 2 {x}^{2} + 1 = 3 {x}^{2} \)

Subtract both sides by 3x^2

\( {x}^{4} - {x}^{2} + 1 = 0\)

Notice that x^4= (x^2)^2.

So our reformed equation is

\(( {x}^{2} ) {}^{2} - {x}^{2} + 1 = 0\)

Let a variable , w equal x^2. This means that we subsitute variable, w in for x^2.

\(w {}^{2} - w + 1 = 0\)

Now we use the quadratic formula

\( w = \frac{ - b + \sqrt{b {}^{2} - 4ac } }{2a} \)

and

\(w = - b - \frac { \sqrt{b {}^{2} - 4ac } }{2a} \)

Let a=1 b=-1 and c=1.

\(w = \frac{1 + \sqrt{1 - 4(1)} }{2} \)

\(w = \frac{1 - \sqrt{1 - 4} }{2} \)

Now, we get

\(w = \frac{1}{2} + \frac{i \sqrt{3} }{2} \)

and

\(w = \frac{1}{2} - \frac{ i\sqrt{3} }{2} \)

Now since we set both of these to the x^2 we solve for x.

and

\( {x}^{2} = \frac{1}{2} + \frac{i \sqrt{3} }{2} \)

and

\( {x}^{2} = \frac{1}{2} - \frac{i \sqrt{3} }{2} \)

We can represent both of these as complex number in the form of a+bi. Next we can convert this into trig form which is

\( {x}^{2} = 1( \cos(60) + i \: \sin(60) \)

and

\( {x}^{2} = 1( \cos(300) + i \: sin(300))\)

Next we take the sqr root of 1 which is 1, and divide the degree by two.

\( {x} = 1( \cos(30) + i \: sin \: 30)\)

and

\(x = 1( \cos(150) + i \: sin(150)\)

We are asked for the 2nd root so just add 180 degrees to this and we have

\(x = 1 \cos(210) + i \: sin \: 210)\)

and

\(x = 1( \cos(330) + i \: sin(330)\)

which both simplified to

\(x = - \frac{ \sqrt{3} }{2} - \frac{1}{2} i\)

and

\(x = \frac{ \sqrt{3} }{2} - \frac{1}{2} i\)

Now we must find

x^18+x^12+x^6+1.

We just use demovire Theorem. Which is a complex number raised to the nth root is

\( {r}^{n} (cos(nx) + i \: sin(nx)\)

So let plug in our first root.

\(1( \cos(330 \times 18)) + i \: sin \: (330 \times 18))) + 1( \cos(12 \times 330)) + i \: sin(12 \times 330) + 1( \cos(6 \times 330) + i \: sin(6 \times 330))) + 1\)

To save time we multiply the angle and use rules of terminals angle and we get

\(1( \cos(180) + i \sin(180) ) + 1( \cos(0) + i \: sin \:( 0) + 1( \cos(180) + i \: sin(180) + 1\)

And we get

\( - 1 + 1 + - 1 + 1 = 0\)

So one of the answer is x=0

And the other, let see

\(1 \cos(210 \times 18) + i \: \sin(210 \times 18) + 1 \: cos(210 \times 12) + i \: sin(210 \times 12) + 1 \cos(210 \times 6) + \:i sin(210 \times 6) + 1\)

\( \cos(180) + i \: sin(180) + 1 \cos(0) + i\sin(0) +1( \cos(0) + i \sin(0) + 1\)

We get

\( - 1 + 1 + 1 + 1 = 2\)

So our answer are 2.

So the answer to the second part is

0 and 2.

Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

Answer:

m=14, n=26

Step-by-step explanation:

Answer: Domain: All real numbers      

Range: y<-2, y>=0

Step-by-step explanation:

Domain: All real numbers       ==> x can be less than zero and greater than or equal to zero.

Range: y<-2, y>=0

-x-2, x>0

-x-2+2, x>2

-x, x>2

x, x<-2

y, y<-2

-x, x<=0

x, x>=0

y, y>=0

Answer:

Step-by-step explanation:

Domain 5

range 2

Answer:

16

Explanation:

The segment with a length equal to 12 is tangent to the circle, It means that it forms an angle of 90 degrees with the line of the missing length.

So, the formed triangle is a right triangle and we can apply the Pythagorean theorem to solve the question.

Then, since 20 is the hypotenuse of the triangle, we get that the missing side can be calculated as:

So, solving the expression, we get:

Therefore, the segment length is 16.

Answer:

Twenty sixth thousandth or point zero two six

Step-by-step explanation:

The two is in the thousandth place

The word form of the given decimal number is zero point zero two six.

Word form of a number is a way to write the number using words.

Example, the word form of the number nine thousand, three hundred twenty-five is 9,325.

The give  number is 0.026.

In expanded form: 0×1+0 ×1/10 +2×1/100 + 6×1/1000

= 0+0.02+0.006

In word form: 0.026 can be written as zero point zero two six

Therefore, 0.026 written in word form as zero point zero two six.

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Answer:

85%

Step-by-step explanation:

900-6000 divided by 6000

multiply your answer by 100

that will give you your answer

Answer:the Circumference of the outer cycle is longer than the circumference of the inner circle.

Step-by-step explanation:

Answer:

The domain of the given graph is

\(( - 2,0,3,4)\)

Step-by-step explanation:

Hope it helps!!!

Answer:

2,700 degrees.

Step-by-step explanation:

17 gon is a heptadecagon.

The formula for the sum of interior angles is \((n-2)*180\) degrees.

\((17-2)*180=\\15*180=\\2700\)

Answer:

y = -1/3 x + 5

Step-by-step explanation:

The general equation is y = mx + b

You are told that the y intercept is 5. The point is (0,5)

So far the general equation looks like y = mx + 5

Now we have to find m

The given slope of y = 3x + 2 is 3.

The slope is whatever number is in front of the x

Use this formula for the vertical slope

m * m1 = - 1

m1 = 3

3*m = - 1                                     Divide by 3

m = -1/3

So the answer you want is y = -1/3 x + 5

The coefficients a and b for the linear function are given by:

a = -2, b = 5.

A linear function is modeled by:

y = ax + b

In which:

Given two points, the slope is given by change in y divided by change in x, hence, for points AB:

a = (-1 - 7)/(3 - (-1)) = -8/4 = -2.

Hence:

y = -2x + b.

When x = -1, y = 7, hence the value of b is found as follows:

7 = -2(-1) + b

b = 5.

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D. 29.75 is Right answer...

I hope you understand....

In order to determine the cost for 0.5 hours, Mohal would need to know the initial studio-use fee and the hourly fee charged by the studio.

It is not possible to determine the amount of money Mohal would need to pay in studio fees for 0.5 hours based on the information provided. The table shows a linear relationship between the number of hours in the studio (t) and the total amount of money paid (P), but it does not provide a mathematical equation that can be used to calculate the cost for any given number of hours. In order to determine the cost for 0.5 hours, Mohal would need to know the initial studio-use fee and the hourly fee charged by the studio.

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a) The electric field magnitude on the balloon surface will be different from the electric field magnitude on the box surface.

b) the electric field lines intersect with the planar surface of the box, the field lines will be compressed or spread out depending on the angle of incidence.

At the point of contact between the spherical balloon and the wall of the cubical box, the electric field magnitude will not be the same on both surfaces. This is because the surface of the balloon is spherical, while the surface of the box is planar. The electric field lines emanating from the charged ball will be spherically symmetric around the ball and perpendicular to the surface of the balloon. However, when the electric field lines intersect with the planar surface of the box, the field lines will be distorted due to the change in direction of the surface. As a result, the electric field magnitude on the balloon surface will be different from the electric field magnitude on the box surface.

At the point of contact, the number of field lines per unit area will also be different for the balloon surface and the box surface. The electric field lines from the charged ball will be distributed uniformly over the surface of the spherical balloon, so the number of field lines per unit area will be constant over the entire surface. However, when the electric field lines intersect with the planar surface of the box, the field lines will be compressed or spread out depending on the angle of incidence. Therefore, the number of field lines per unit area on the box surface will not be the same as the number of field lines per unit area on the balloon surface.

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Question:

A small charged ball is suspended at the center of a spherical balloon that is nestled snugly inside a cubical cardboard box. On one side, the balloon touches the wall of the box. (a) At this point of contact, is the electric field magnitude on the balloon surface equal to the electric field magnitude on the box surface? Assume neither object is polarized. (b) At this point of contact, is the number of field lines per unit of balloon surface area equal to the number of field lines per unit of box surface area?

Answer:

-22.5.

Step-by-step explanation:

Lets say that you meant w as the variable.

-4/3 w = 30.

To get rid of the 3, lets multiply 3 to both sides. We get:

3(-4/3 w) = 3(30)

We get:

-4w = 90.

To solve for the w, lets get rid of the -4 by dividing it from both sides.

(-4w)/-4 = 90/-4

We get:

w = -22.5

Check it if you want to make sure.

The acceleration is 4.24 m^2/s

They are accelerations and vector quantities. The direction of an object's acceleration is determined by the direction of the net force acting on it. Acceleration describes the rate at which a speed changes over time.

The velocity is changing over time. The velocity is actually changing at a constant rate of 10 m/s per second. If an object's velocity is changing, it is said to be accelerating; it has acceleration.

According to question,

Acceleration = final velocity- initial velocity/ time

Final velocity = 14.8 and initial velocity = 4.2

Hence, acceleration = 14.8-4.2/2.5

=10.6/2.5

=4.24.

The acceleration is 4.24 m^2/s.

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The number of cubes used in the third, fourth, and fifth figures of the pattern are 17 cubes, 21 cubes, and 25 cubes, respectively.

The recursive function f(n + 1) = f(n) + 4 states that each subsequent figure in the pattern will have 4 more cubes than the previous figure.

To determine the number of cubes in each figure, we start with the given values and add 4 to each subsequent figure.

In Figure 1, there are 9 cubes. Adding 4 cubes, we get Figure 2 with 13 cubes. Continuing this pattern, we add 4 cubes to each subsequent figure.

Figure 3: Figure 2 + 4 = 13 + 4 = 17 cubes
Figure 4: Figure 3 + 4 = 17 + 4 = 21 cubes
Figure 5: Figure 4 + 4 = 21 + 4 = 25 cubes

Therefore, the number of cubes used in the third, fourth, and fifth figures of the pattern are 17 cubes, 21 cubes, and 25 cubes, respectively.

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QUESTION - Luis uses cubes to represent each term of a pattern based on a recursive function. The recursive function defined is f(n + 1) = f(n) + 4, where n is an integer and n ≥ 2. The number of cubes used in each of the first two figures is shown below. How many cubes does Luis use in the third, fourth, and fifth figures of the pattern? Fill in the blanks.
Figure 1: 9 cubes
Figure 2: 13 cubes
Figure 3:
Figure 4:
Figure 5:

We need to plant the mines at co-ordinates (0,5) and (5,0)

To find the intersection points of the battleship path with each enemy path, we need to solve the system of equations formed by the three equations given.

First, we can solve for y in the equation for the battleship path:

x + y = 5

y = 5 - x

Substituting this expression for y into the equation for Enemy Path 1, we get:

-x + 3(5 - x) = 15

-2x + 15 = 15

-2x = 0

x = 0

Substituting x = 0 and y = 5 into the equations for the enemy paths, we find that the battleship path intersects Enemy Path 1 at the point (0, 5).

Next, we can substitute the expression for y that we found earlier into the equation for Enemy Path 2:

2x + (5 - x) = 10

x = 5

Substituting x = 5 and y = 0 into the equations for the enemy paths, we find that the battleship path intersects Enemy Path 2 at the point (5, 0).

Therefore, the intersection points of the battleship path with the enemy paths are (0, 5) and (5, 0). You should plant the mines at these points.

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Answer:

f(-2) means that x = -2

f(-2) = 65

Step-by-step explanation:

f(x) = 6(8 - x) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) +5

f(-2) = 60 + 5

f(-2) = 65

yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

Answer:

Tank 1: 6 litres

Tank 2: 6.75 litres

Tank 3: 4.5 litres

Step-by-step explanation:

Initially, James had 18 litres of water, and he poured three-quarters of it from tank 1 into tank 2. This means that the volume of water left in tank 1 is:

18 - (3/4) * 18 = 4.5 litres

The volume of water in tank 2 is:

(3/4) * 18 = 13.5 litres

Next, he poured half of the water in tank 2 (which is now 13.5 litres) into tank 3. The volume of water left in tank 2 is:

(1/2) * 13.5 = 6.75 litres

The volume of water in tank 3 is:

13.5 * (1/2) = 6.75 litres

Finally, he poured one-third of the water in tank 3 (which is now 6.75 litres) into tank 1. The volume of water in tank 1 after this is:

4.5 + (1/3) * 6.75 = 6 litres

The volume of water in tank 3 after this is:

6.75 * (2/3) = 4.5 litres

So the final volume of water in each tank is:

Tank 1: 6 litres

Tank 2: 6.75 litres

Tank 3: 4.5 litres

Pua will use 13, 1/4 cups of oatmeal.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Pua needs 3\(\frac{1}{4}\) cups of oatmeal.

The number of 1/4 cups of oatmeal,

she will use,

= 13/4 ÷ 1/4

= 13

Therefore, she will use 13 cups.

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the number of people who like both tea and cofee is 50