The points (-1,-10) and (9,t) fall on a line with a slope of 1/10. What is the value of t.

Answer:

4.65 British pound sterling

Step-by-step explanation:

\(7.50*0.62 = 4.65\)

7.5 U.S. dollars = 4.65 British pound sterling

Answer:

433345344 Answer

Step-by-step explanation:

Answer:

Explanation is

Step-by-step explanation:

The most appropriate separation technique for estimating the number of bacteria in a broth sample is the serial dilution and plate counting method.

In the serial dilution and plate counting method, the broth sample is diluted several times in a series of tubes or plates containing a nutrient medium. Each dilution reduces the concentration of bacteria in the sample, allowing for the formation of separate colonies on the plates. These colonies can then be counted and used to estimate the number of bacteria in the original sample.

This method is effective because it allows for the isolation of individual bacterial colonies, making it easier to count and estimate their numbers accurately. By diluting the sample, it also ensures that the number of colonies formed on the plates is within a countable range, avoiding overcrowding. Additionally, the nutrient medium provides the necessary conditions for bacterial growth, aiding in the formation of visible colonies.

Serial dilution and plate counting is a widely used technique in microbiology laboratories due to its reliability and simplicity. It provides quantitative data on bacterial populations, allowing researchers to analyze and compare the growth of different bacterial strains or assess the effectiveness of antimicrobial treatments.

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Step-by-step explanation:

3x4=12

÷2=6

First triangle =6

3x4=12

÷2=6

2nd triangle =6

6+6= 12

The answer should be d(12 Square feet)

Answer:

a=14

b=6

c=5

Step-by-step explanation:

\(x-6\sqrt{x} + 4 = 0\)

\(x +4 =6\sqrt{x}\)

\(x^2 + 8x + 16 = 36x\)

\(x^2 - 28x + 16 = 0\)

14 ±6\(\sqrt{5}\)  

Answer:

A=14,B=6, C=5

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

To find the silk density in g/cc, given the specific gravity of the fibre as 0.96, follow these steps:

1. Formula for specific gravity: Specific Gravity = Density of the substance / Density of the reference substance (usually water)
2. The density of water is approximately 1 g/cc.
3. Rearrange the formula to solve for the density of the substance: Density of the substance = Specific Gravity * Density of the reference substance
4. Plug in the given values: Density of silk = 0.96 * 1 g/cc
5. Calculate the result: Density of silk = 0.96 g/cc

Your answer: The silk density is 0.96 g/cc.

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The statement that the adjacency matrix for a simple graph is not antisymmetric. The given statement is false.

The adjacency matrix of a simple graph represents the connections or edges between the vertices of the graph. In an adjacency matrix, the rows and columns correspond to the vertices of the graph, and the entries indicate whether there is an edge between the corresponding vertices.

Antisymmetry in a matrix refers to a property where the matrix entries satisfy the condition A[i, j] = -A[j, i]. In the context of an adjacency matrix, this would mean that if there is an edge from vertex i to vertex j, there should not be an edge from vertex j to vertex i.

However, in a simple graph, the presence of an edge between two vertices is not related to the presence or absence of an edge in the opposite direction. So, the adjacency matrix of a simple graph is generally not antisymmetric. It can have non-zero entries in both the upper and lower triangular parts of the matrix, indicating edges in both directions between vertices.

Therefore, the statement that the adjacency matrix for a simple graph is antisymmetric is False.

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Answer:

Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

Answer:

42/60

Step-by-step explanation:

Answer:

y = -4/3x + 6

Step-by-step explanation:

y = mx + b

m = slope = -4/3

b = y-intercept = 6

Answer:

2

Step-by-step explanation:1+1=2 its 2 okay its 2 not 1268934457687423456779052436869867543

Signed and unsigned integer expressions differ in how they interpret and represent numerical values. Signed integers can represent both positive and negative values, while unsigned integers can only represent non-negative values.



1. Signed Integer Expressions: Signed integers are capable of representing positive, negative, and zero values. They allocate a bit for the sign, typically using the leftmost bit (the most significant bit). The remaining bits are used to represent the magnitude of the number. The sign bit is set to 0 for positive or zero values and set to 1 for negative values. This representation allows for a wider range of values, but half of the possible bit patterns are reserved for negative numbers, limiting the maximum positive value that can be represented.

2. Unsigned Integer Expressions: Unlike signed integers, unsigned integers do not allocate a bit for the sign. Instead, all bits are used to represent the magnitude of the number, allowing for a wider range of non-negative values. As a result, unsigned integers can represent larger positive values than their signed counterparts. However, they cannot represent negative values or zero, as there is no reserved bit to indicate the sign.

The choice between signed and unsigned integer expressions depends on the specific requirements of a program. Signed integers are typically used when negative values need to be represented or when arithmetic operations may result in negative values. On the other hand, unsigned integers are useful when dealing with quantities that are always expected to be positive, such as array indices or lengths of data structures. It's important to consider the range of values required and the potential impact of overflow or underflow when selecting between signed and unsigned integer expressions.

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The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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(a) Compounded annually: $191.87

(b) Compounded quarterly: $191.89

(c) Compounded continuously: $191.90

To determine the present equivalent value of $400 paid over a period of 7 years in each situation, we need to calculate the present value using the respective compounding methods and interest rates.

(a) Compounded Annually:

The formula to calculate the present value with annual compounding is:

PV = FV / (1 + r)^n,

where PV is the present value, FV is the future value (amount paid), r is the interest rate per compounding period, and n is the number of compounding periods.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

n = 7 years.

Substituting the values into the formula, we have:

PV = 400 / (1 + 0.12)^7.

Calculating this value, we find:

PV ≈ $191.87.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded annually is approximately $191.87.

(b) Compounded Quarterly:

The formula to calculate the present value with quarterly compounding is:

PV = FV / (1 + r/n)^(n*t),

where n is the number of compounding periods per year (4 for quarterly compounding), and t is the number of years.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

n = 4 (quarterly compounding),

t = 7 years.

Substituting the values into the formula, we have:

PV = 400 / (1 + 0.12/4)^(4*7).

Calculating this value, we find:

PV ≈ $191.89.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded quarterly is approximately $191.89.

(c) Compounded Continuously:

The formula to calculate the present value with continuous compounding is:

PV = FV * e^(-r*t),

where e is the base of the natural logarithm (approximately 2.71828), and t is the number of years.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

t = 7 years.

Substituting the values into the formula, we have:

PV = 400 * e^(-0.12*7).

Calculating this value, we find:

PV ≈ $191.90.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded continuously is approximately $191.90.

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The domain of the function h(x)=9x/x(x²-49) is (-∞, -7) ∪ (-7, 0) ∪ (0, 7) ∪ (7, ∞).

In math the term called the domain of a function is the set of its possible inputs which is the set of input values where for which the function is defined.

Here we have know the function is h(x)=9x/x(x²-49)

And we need to find the domain of the function.

Here we know that this function is defined for values where the denominator is not equal to zero.

Which is written as,

=> x(x²-49) ≠ 0

When we elaborate the equation based on the difference between the two squares property, it can be written as,

=> x(x + 7)(x - 7)  ≠ 0

Based on this we have identified that the value of x must not be

=> x  ≠ -7, 7, 0

Then the domain of the function is written as,

=> (-∞, -7) ∪ (-7, 0) ∪ (0, 7) ∪ (7, ∞).

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The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.

Step-by-step explanation:

If you only have $10 and the book costs $20, No, you cannot buy the book. However, if you have $25, Yes, you can afford the book and still have $5 left after the purchase.

In scenario A, where you have $10 and the book costs $20, you cannot buy the book. The cost of the book exceeds the amount of money you have, leaving you $10 short. In this case, you would need to find an additional $10 in order to afford the book.

In scenario B, where you have $25 and the book costs $20, you can buy the book. With $25, you have enough funds to cover the full price of the book. After purchasing the book, the remaining amount found by subtraction of the cost of the book from the amount you have (ie) the remaining amount = the amount you have - the cost of the book = $25 - $20 = $5

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The given question is

You want to read a certain book.

A. This book costs $ 20. If you only have$ 10, can you buy the book?

B. If you have $ 25, can you buy the book?

Answer:

ASA

Step-by-step explanation:

there is one more angle, which is the vertical opposite.

Step-by-step explanation:

soltion

hotdog=50

people =6

dividing equally to each people

A person got=50/6

=8.33

so each got 8.33

but practically we cannot give it 8.33 to each so we can give 8 to each

The rule for mapping x to y based on the given data is y = 2x.

This linear function describes the relationship between the variables x and y, where y is twice the value of x.

The given set of points represents a mapping between two variables, x and y.

By observing the given data, we can infer the relationship between x and y.

From the given data, we can see that for every increment of 1 in x, there is a corresponding increment of 2 in y.

This implies that the relationship between x and y can be expressed using a linear function.

To find the rule for mapping, let's analyze the relationship between x and y.

If we subtract 1 from x, we get 0, and if we subtract 1 from y, we get 0. This suggests that the y-intercept of the linear function is 0.

Next, we can calculate the slope of the linear function by taking the difference in y-coordinates and dividing it by the difference in x-coordinates.

By examining the data, we can observe that for each increment of 1 in x, there is an increment of 2 in y.

Therefore, the slope of the linear function is 2.

Putting it all together, we can express the rule for mapping x to y as follows:

y = 2x

This means that for any given value of x, if we multiply it by 2, we will obtain the corresponding value of y.

For example, if x = 3, applying the rule gives us:

y = 2 \(\times\) 3 = 6

Thus, according to the given mapping, when x is 3, y will be 6.

Similarly, we can use the rule to find the corresponding values of y for other values of x.

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The required sign between -12.7a and -12.7b should be greater than sign (>).

If a is less than b, then -12.7a will be greater than -12.7b, because multiplying a smaller number by a negative constant (-12.7 in this case) will result in a larger negative value than multiplying a larger number by the same constant.

To see this, suppose we have two positive numbers x and y such that x < y. Then, multiplying both by a negative constant c will result in two negative numbers with magnitudes that are greater for x:

cx < cy, because c is negative and (x < y)

Therefore, if a is less than b, then:

-12.7a > -12.7b

So the sign between -12.7a and -12.7b should be greater than sign (>).

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The number of bacteria is doubled every 0.33 seconds.

The exponential function giving the number of bacteria after t seconds is given as follows:

N(t) = 1000(8)^t.

This means that the exponential function has the parameters given as follows:

The doubling time is the value of t for which N(t) = 2 x 1000 = 2000, hence:

2000 = 1000(8)^t

8^t = 2

(2³)^t = 2

Applying the power of power rule, we have that:

2^(3t) = 2^1

3t = 1

t = 1/3

t = 0.33 seconds.

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Answer:

the correct answer is (b).........

Answer:

ABC = 140

Step-by-step explanation:

ABD = 70

ABD = DBC since it is bisected

ABC = ABD + DBC

        = 70+70

ABC = 140

The optimal feasible solution is x1 = 1, x2 = 0.4, and the problem is a regular linear programming problem.

To solve the given linear programming problem, let's define the decision variables and formulate the objective function and constraints:

Decision Variables:

x1, x2

Objective Function:

Maximize: 2x1 + 6x2

Constraints:

2x1 + 5x2 ≤ 4

4x1 + x2 ≤ 6

x1, x2 > 0

To find the optimal feasible solution, we can use a linear programming solver. Here is the optimal solution for the given problem:

Optimal Solution:

x1 = 1

x2 = 0.4

The maximum value of the objective function is obtained when x1 = 1 and x2 = 0.4. The maximum value is 2(1) + 6(0.4) = 4.8.

Now let's analyze if the solution is a special case of linear programming.

This problem falls under the category of Linear Programming (LP) problems. However, it does not represent any specific special case of LP such as degeneracy, unboundedness, or infeasibility. The given problem has a feasible solution, and the objective function is maximized within the given constraints. Hence, it is a regular LP problem without any special case conditions.

Note: Since the solution is text-based, there is no need to scan or provide a separate file.

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The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

The parabola has a vertex at (x, 1.5) and opens upward.

What is parabola?

A parabola is a type of curve in mathematics that is defined as the locus of all points in a plane that are equidistant from a fixed point called the focus and a fixed line called the directrix. It is a conic section, a curve formed by the intersection of a cone and a plane that does not pass through the apex of the cone.

The given information specifies the focus and the directrix of a parabola. The focus is given as (10, 7), and the directrix is given as y = -4.

Based on this information, we can conclude that the parabola is symmetric with respect to the y-axis because the x-coordinate of the focus is positive and the directrix is a vertical line. The vertex of the parabola is the midpoint between the focus and the directrix.

The y-coordinate of the vertex is the average of the y-coordinate of the focus and the y-coordinate of the directrix, which is (7 + (-4))/2 = 3/2 = 1.5.

Therefore, the vertex of the parabola is (x, 1.5).

Since the directrix is a horizontal line, the parabola opens either upward or downward. The direction can be determined by comparing the y-coordinate of the vertex with the y-coordinate of the focus. If the y-coordinate of the focus is greater than the y-coordinate of the vertex, the parabola opens upward; if the y-coordinate of the focus is less than the y-coordinate of the vertex, the parabola opens downward.

In this case, since 7 > 1.5, the parabola opens upward.

In summary, the parabola has a vertex at (x, 1.5) and opens upward.

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