What is the half life for the zombie population

The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

A function has two intercepts, which are listed as follows:

The definition of each type of intercept is given as follows:

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

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Answer:

The answer is in the picture

Answer:

look below

Step-by-step explanation:

1. napping

2. Union

3. Let's meet at the park for a picnic

4. Put that down right now and don't look at it again

5. race

This might no be right I rushed

Answer:

1) Napping, Gray and Warm

2) Union(4), Uniform(3), Unicycle(2), Unicorn(1)

3)Let's meet at the park for a picnic.

4) Put that down right now and don't take it again!

5) Around

Step-by-step explanation:

Hope this Helps!!

:D

Answer:

C.

Step-by-step explanation:

I can explain in comments if needed, but c is the correct answer :)

The solution to the system of equations y = -6x - 3 and y = -x^2 can be found by finding the point(s) of intersection between the two graphs.

To solve the system, we can set the two equations equal to each other:

-6x - 3 = -x^2

Rearranging the equation, we get:

x^2 - 6x - 3 = 0

Using the quadratic formula, we can find the solutions for x:

x = (6 ± √(36 + 12))/2

x = (6 ± √48)/2

x = (6 ± 4√3)/2

x = 3 ± 2√3

Substituting these x-values back into either equation, we can find the corresponding y-values:

For x = 3 + 2√3, y = -6(3 + 2√3) - 3 = -18 - 12√3 - 3 = -21 - 12√3

For x = 3 - 2√3, y = -6(3 - 2√3) - 3 = -18 + 12√3 - 3 = -21 + 12√3

Therefore, the solutions to the system of equations are (3 + 2√3, -21 - 12√3) and (3 - 2√3, -21 + 12√3).

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Answer:

The y-intercept is 3.

Step-by-step explanation:

I had to use a graph but if you mark the point on the graph. The slope is 2 so you would go up 2 right 1. But you can also do it the opposite way, go down 2 left 1. I hope this helps!

Answer:

180

Step-by-step explanation:

-9*4=-36

-36*-5=180

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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(a) The Crossing-Graph Lemma states that if two continuous functions f and g are defined on an interval [a, b] and f(a) <= g(a) and f(b) >= g(b), then there exists some c in [a, b] such that f(c) = g(c).

(b) The Fixed-Points on [0, 1] Theorem states that if f is a continuous function from [0, 1] to [0, 1], then there exists some c in [0, 1] such that f(c) = c.

The lemma can be proved using the Intermediate Value Theorem. The IVT states that if a function f is continuous on an interval [a, b] and N is between f(a) and f(b), then there exists some c in (a, b) such that f(c) = N.

In the case of the Crossing-Graph Lemma, we can set N = g(a). Since f(a) <= g(a), the IVT guarantees that there exists some c in (a, b) such that f(c) = g(a).

But since g is also continuous, we know that g(c) = g(a). Therefore, we must have f(c) = g(c).

Here is a more detailed explanation of the Fixed-Points on [0, 1] Theorem:

We can use the Crossing-Graph Lemma to prove this theorem by setting g(x) = x. Since f(x) is continuous on [0, 1], we know that f(0) <= 0 and f(1) >= 1. Therefore, the Crossing-Graph Lemma guarantees that there exists some c in [0, 1] such that f(c) = g(c) = c.

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Answer:

Hi! The correct answer is B: A' = (2, 1), B' = (1, 2), and C'=(3, 2).

Step-by-step explanation:

Why? because dilating a shape is basically multiplying it with the scale factor, so since the dilating factor is 1/2, you just divide all the numbers by 2.

Answer:

(3, - 2 )

Step-by-step explanation:

The solution is at the point of intersection of the 2 lines

The lines intersect at (3, - 2 ) ← solution

Check by substituting  x = 3 into the left side of the given equation

- 2(3) + 4 = - 6 + 4 = - 2 ← True

The spam of the sets of vector of all linear combination is 0,

The span of the set {(2, 5, 3), (1, 1, 1)} is the subspace of R 3 consisting of all linear combinations of the vectors v 1 = (2, 5, 3) and,

v 2 = (1, 1, 1).

this defines a plane in R 3.

Since a normal vector to this plane in n = v 1 x v 2 = (2, 1, −3),

the equation of this plane has the form 2 x + y − 3 z = d for some constant d. the plane must contain the origin—it's a subspace— d must be 0.

No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line

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Answer:

D

Step-by-step explanation:

When you put the equation into the calculator.... the results are infinitely many solutions.

Answer:

Step-by-step explanation:bans

Answer : C] 4√6

Thank you !

The rational number that can be used to represent the number of points needed for Abraham to get an A will be 1.5.

It should be noted that a rational number is the number that can be written as a fraction. It can be while numbers and decimals have well.

Therefore, since Abraham needs one-half of a point to get an A– in Math, the rational number that can be used to represent the number of points needed for Abraham to get an A willbe 1.5.

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The answer is A. The function g(x) = x is a unit vector in the vector space C[0, 1] and B. The cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x is 15 /\((2\sqrt{15})\).

To determine whether the function f(x) = 3x is a unit vector in the vector space C[0, 1] with the given inner product, we need to calculate its norm or magnitude.

The norm of a function f(x) in this vector space is defined as ||f|| = sqrt((f, f)), where (f, f) is the inner product of f with itself.

Using the inner product given, we can calculate the norm of f(x) as follows:

\(||f|| = sqrt(integral^1_0 (3x)^2 dx)\\= sqrt(integral^1_0 9x^2 dx)\\= sqrt[9 * (x^3/3) | from 0 to 1]\)

= sqrt[9/3 - 0]

= sqrt(3).

Since the norm of f(x) is sqrt(3) ≠ 1, we can conclude that f(x) = 3x is not a unit vector in this vector space.

To find a function that is a unit vector, we need to normalize f(x) by dividing it by its norm. Let's denote this normalized function as g(x):

g(x) = f(x) / ||f||

= (3x) / sqrt(3)

= sqrt(3)x / sqrt(3)

= x.

Therefore, the function g(x) = x is a unit vector in the vector space C[0, 1].

(b) To find the cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x, we can use the inner product and the definition of cosine:

cos(θ) = (f, g) / (||f|| ||g||).

Using the given inner product, we have:

\((f, g) = integral^1_0 (5x^2)(9x) \\\\dx= 45 * integral^1_0 x^3 \\\\dx= 45 * (x^4/4 | from 0 to 1)\)

= 45/4.

The norms of f(x) and g(x) are:

\(||f|| = sqrt(integral^1_0 (5x^2)^2 dx)\\= sqrt(integral^1_0 25x^4 dx)\\= sqrt[25 * (x^5/5) | from 0 to 1]\)

= sqrt(5).

\(= sqrt(integral^1_0 81x^2 dx)\)

\(= sqrt(integral^1_0 81x^2 dx)\)

\(= sqrt[81 * (x^3/3) | from 0 to 1]\)

\(= 3\sqrt{3}\)

Substituting these values into the cosine formula:

cos(θ) = (45/4) / (sqrt(5) * 3√3)

\(= (15/2) * (1 / (sqrt(5) * √3))= (15/2) * (1 / √15)= (15/2) * (1 / (√3 * √5))= 15 / (2√15).\)

Therefore, the cosine of the angle between \(f(x) = 5x^2 and g(x) = 9x is 15 / (2\sqrt{15}).\)

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To use the Laplace transformation to solve the following differential equation, we will first apply the transformation to the problem and its initial conditions. F(s) denotes the Laplace transform of a function f(x) and is defined as: \(Lf(x) = F(s) = [0,] f(x)e(-sx)dx\)

When the Laplace transformation is applied to the given differential equation, we get:

\(Ld2y/dx2/dx2 + Ly = 0\) .

If we take the Laplace transform of each term, we get: \(s^2Y(s) = 0 - sy(0) - y'(0) + Y(s)\).

Dividing both sides by \((s^2 + 1),\), we obtain:

\(Y(s) = (s + 2) / (s^2 + 1)\).

Now, we can use the partial fraction decomposition to express Y(s) in terms of simpler fractions:

Y(s) = (s + 2) / (\(s^{2}\)+ 1) = A/(s - i) + B/(s + i) .

Multiplying through by (\(s^{2}\) + 1), we have:

s + 2 = A(s + i) + B(s - i).

Expanding and collecting like terms, we get:

s + 2 = (A + B)s + (Ai - Bi).

Comparing the coefficients of s on both sides, we have:

1 = A + B and 2 = Ai - Bi.

From the first equation, we can solve for B in terms of A:B = 1 - A Substituting B into the second equation, we have:

2 = Ai - (1 - A)i

2 = Ai - i + Ai

2 = 2Ai - i

From this equation, we can see that A = 1/2 and B = 1/2. Substituting the values of A and B back into the partial fraction decomposition, we have:

Y(s) = (1/2)/(s - i) + (1/2)/(s + i). Now, we can take the inverse Laplace transform of Y(s) to obtain the solution y(x) in the time domain. The inverse Laplace transform of 1/(s - i) is \(e^(ix).\)

As a result, the following is the solution to the given differential equation:\((1/2)e^(ix) + (1/2)e^(-ix) = y(x).\)

Simplifying even further, we get: y(x) = sin(x)

As a result, given the initial conditions dy(0)/dx = 2 and y(0) = 1, the solution to the above differential equation is y(x) = cos(x).

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Answer:

9.8 gallons

Step-by-step explanation:

1900÷140=13.5714285714

round up to 14

0.7x14=9.8

Answer:

Get to know the easy procedure on how to find 4500000 minus 35% is what along with steps by referring further.

As per the given data inputs P% = 35%, X= 4500000

We need to figure out the value of Y i.e. result obtained on subtracting 4500000 minus 35%

Substitute the given inputs in the formula i.e. Y= X(1-P%)

On substituting we get the data as under Y =4500000(1-35%)

Determine the value of 35% in decimal by simply dividing with 100 i.e. 35/100 =0.35

Replace the decimal value in terms of 35% in the equation.

Thus, we get the equation as Y = 4500000(1-0.35)

On simplifying it further by performing basic maths operations we get Y =4500000(0.65)

Finally, we get the value of Y as 2925000

Therefore 4500000 minus 35% is 2925000

plus 7.75%

total answer: 3151687.5

Step-by-step explanation:

Answer:

3/5 (Already there but I wanted to put an explanation)

Step-by-step explanation:

first you want to change the 1/2 to work better with the 1/10. The way you can do is change the 1/2 to be 5/10 by multiplying both sides of the fraction by 5 so that it is out of 10 rather than out of 2. you then add 5/10 to 1/10 to get x=6/10. since 6/10 can be simplified by 2, you divide both sides of the fraction by 2 to get 3/5=x

Answer:

Step-by-step explanation:

Given points

Midpoint formula

Midpoint is (2, 2)

Al encontrar la medida x del lado del cuadrado, Federico debe presentar como solución igual a 5, ya que el lado del cuadrado debe ser un valor positivo.

Como el cuadrado es una figura geométrica que tiene lados iguales, para realizar el cálculo, debemos tomar la medida de uno de los lados y elevarlo al cuadrado. El cálculo se puede realizar mediante la siguiente fórmula:

Por lo tanto, la geometría plana se usa para calcular las medidas precisas de la habitación en relación con su área, longitud y altura.

La respuesta correcta es la opción D.

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Answer:

y= 2x-1

Step-by-step explanation:

We know two points on the line, so we can find the slope

(2,3) and (4,7)

The slope is found by using the slope formula

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

m = ( 7-3)/(4-2) = 4/2 = 2

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

Using one of the points to substitute into the equation we can find b

3 = 2(2)+b

3 = 4+b

-1 =b

y= 2x-1

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (4, 7 ) and (x₂, y₂  ) = B (2, 3 )

m = \(\frac{3-7}{2-4}\) = \(\frac{-4}{-2}\) = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 3 )

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line

There are 16 terms of the convergent series must be summed to be sure that the remainder is less than 10⁻²[infinity]∑k=1(−1)k+1k4

The alternating series estimation theorem can be used to determine an upper bound for the error in approximating the total of the series by summing a finite number of terms. As an example of an alternating sequence of the form:

∑(-1)^(n-1) b_n

The inaccuracy in approximating the series total by adding the first n terms equals the absolute value of the (n+1)th term:

|(-1)^n b_n+1|

In this case, we have:

∑k=1^∞ (-1)^(k+1) k^4

So the (n+1)th term is:

(-1)^n+1 (n+1)^4

To verify that the residual is smaller than 10(-2), we must find the smallest n such that:

|(-1)^n+1 (n+1)^4| < 10^(-2)

So let us try n = 1:

|(-1)^2 (2)^4| = 16 > 10^(-2)

So let us try n = 2:

|(-1)^3 (3)^4| = 81 > 10^(-2)

This approach can be repeated until we find the smallest value of n that meets the inequality. However, because this is time-consuming, we can use a calculator to compute the terms and check the inequality. As a result, we discover that n = 6 is the least value that works:

|(-1)^7 (7)^4| = 2401 > 10^(-2)

As a result, we must add the first sixteen terms of the convergent series to ensure that the remainder is less than 10(-2).

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Answer:

The slope would be -2

Step-by-step explanation:

-9-1/2+3= -2

The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13

So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.

So, by dividing both sides of the equation by 3, we get:

3x/3 = 6.4/3

x = 2.13

Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.

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Answer:

212°F is the answer using the formula

Answer:

212 F

Step-by-step explanation:

You can use the below formula to convert °C to F.

\(\frac{9}{5}C+32=F \)

So now , according to the question you have to convert 100°C in to F.

For that you have to put 100 instead of C to the given formula.

Let us solve now.

\(\frac{9}{5}C+32=F \)

\(\frac{9}{5}*100+32=F \)

\(\frac{900}{5} +32=F\)

\(180+32=F\)

\(212=F\)

Therefore,

212 F = 100°C

Hope this helps you :-)

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Answer:

i

Step-by-step explanation:

Answer:

The price of one orande is 1.21.

Step-by-step explanation:

Answer:

Short Version: 1.21

Long Version: 1.21428571

Step-by-step explanation:

Just divide 8.50 by 7