Please help me with these two problems

Answer:

56 crickets

Step-by-step explanation:

Therefore, x = 0, x = 4, and x = -5/3 are the answers to the equation 3x(x-4)(3x+5) = 0.

An equation in mathematics is a claim that two expressions are equivalent. An equals sign (=) separates the left and right sides of an equation, which usually has two sides. Variables, constants, and mathematical operations like addition, subtraction, multiplication, division, exponents, and roots may be used in the formulas on either side of the equals sign. Finding the number of the variable or variables that make an equation true is the goal of an equation.

given

The zero product property, which asserts that at least one of the factors must be zero if the product of two or more factors equals zero, can be used to solve the equation 3x(x-4)(3x+5) = 0.

We then solve for x by setting each component equal to zero:

3x = 0, 3x + 4, or 3x + 5 = 0.

When we factor x into each solution, we obtain:

3x = 0 --> x = 0

x-4 = 0 —> x = 4

Therefore, x = 0, x = 4, and x = -5/3 are the answers to the equation 3x(x-4)(3x+5) = 0.

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(a) In trade equilibrium, the consumption point for the Home consumer can be shown on a graph where wheat is on the x-axis.

(b) If the world relative price increases above 2/3, the Foreign consumer's utility will decrease compared to the benchmark trade equilibrium with a world price of 2/3.

a, Since the relative price of wheat to cloth is 2/3, the Home consumer's consumption point will lie on a budget line with a slope of -2/3. The specific coordinates of the consumption point cannot be determined without additional information about preferences and the Home consumer's budget constraint.

To show that an increase in the relative price of wheat from 2/3 raises Home's utility, we need to consider the concept of substitution effect. When the relative price of wheat increases, it becomes relatively more expensive compared to cloth. The Home consumer will respond by consuming less wheat and more cloth, moving along the budget line to a new consumption point. This movement is driven by the substitution effect, where the consumer substitutes away from the now relatively more expensive wheat towards the relatively cheaper cloth. Since the Home consumer's preferences and utility are not known, the specific utility level cannot be quantified, but it can be concluded that the utility increases due to the substitution effect.

b.  In the benchmark equilibrium, the Foreign consumer maximizes utility given the initial relative price. If the relative price increases, it means that wheat becomes relatively more expensive compared to cloth in the world market.

As a result, the Foreign consumer will have to consume less wheat and more cloth in order to remain on the same budget line. This movement along the budget line leads to a decrease in utility because the consumer has to give up some desired wheat consumption to obtain more cloth. The magnitude of the utility decrease depends on the specific preferences and utility function of the Foreign consumer, but it can be concluded that the utility will be lower when the relative price of wheat increases above 2/3 in the world market.

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Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

Answer:

-------------------------

Let the number of red marbles be 5x, then the total number of marbles is:

Since we have 25 red marbles, the value of x is:

Total number of marbles is:

The quadratic equation of the function that the table represents is;

d) y = −4(x + 3)² − 2

The general form of a quadratic equation in vertex form is;

f(x) = a(x – h)² + k

where;

a, h, and k are constants.

Now, from the given table, we see that when x = 0, y = -38
Plugging in 0 for x in Option D gives us;

y = -4(0 + 3)² - 2

y = -4(9) - 2

y = -36 - 2

y = -38

Thus, option D is correct

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The quadratic equation of the function that the table represents is;

d) y = −4(x + 3)² − 2

How to find the quadratic equation from the table?

The general form of a quadratic equation in vertex form is;

f(x) = a(x – h)² + k

where;

a, h, and k are constants.

Now, from the given table, we see that when x = 0, y = -38

Plugging in 0 for x in Option D gives us;

y = -4(0 + 3)² - 2

y = -4(9) - 2

y = -36 - 2

y = -38

Thus, option D is correct

The first five terms in the recursive sequence is {0, -1.4, -2.8, -4.2,....}

The correct option is (B)

A sequence of numbers indexed by an integer and generated by solving a recurrence equation.

Given:

\(a_1 = 0\\a_n= a_{n-1}-1.4\)

So,

\(a_2\) = a1 -1.4

\(a_2\)= -1.4

a3= a2-1.4

a3 = -2.8

Hence, the recursive sequence is {0, -1.4, -2.8, -4.2,....}

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Answer:

Step-by-step explanation:

top right

Answer:

Its C (upper right)

Step-by-step explanation:

The number of players the team can bring to the tournament would be = 24 players

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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Answer:

I can't read this

Step-by-step explanation:

The equation of the curve can be expressed as x² + y = 5. The parameterization of the curve is given by x(t) = sin(t) and y(t) = 5 + cos²(t).

In the parameterization, the x-coordinate is given by x(t) = sin(t) and the y-coordinate is given by y(t) = 5 + cos²(t). By substituting these expressions into the equation of the curve, we obtain x² + y = sin²(t) + (5 + cos²(t)) = sin²(t) + cos²(t) + 5 = 1 + 5 = 6.

Therefore, the equation x² + y = 5 simplifies to 6, which is the equation of the curve defined by the parameterization x(t) = sin(t) and y(t) = 5 + cos²(t).

The equation x² + y = 5 represents a different curve than the one described by the parameterization x(t) = sin(t) and y(t) = 5 + cos²(t). The equation x² + y = 5 is a horizontal line in the xy-plane, while the parameterization describes a curve that is not a line. Therefore, the equation x² + y = 5 does not represent the curve defined by the given parameterization. The correct equation for the curve is 6, as explained earlier.

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Therefore, the equation of the line L that passes through the point (-2, 4) and is perpendicular to the line x + 2y = 8 is y = 2x + 8. The correct option is C.

To find the equation of a line that is perpendicular to another line, we need to find the negative reciprocal of the slope of the given line.

The given line has the equation x + 2y = 8. To find its slope, we need to rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

x + 2y = 8
2y = -x + 8
y = -1/2x + 4

The slope of the given line is -1/2. The negative reciprocal of -1/2 is 2.

Now, we have the slope (m = 2) and a point that the line passes through (-2, 4). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we have:

y - 4 = 2(x - (-2))
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 8

Therefore, the equation of the line L that passes through the point (-2, 4) and is perpendicular to the line x + 2y = 8 is y = 2x + 8.

So, the correct option is c. y = 2x + 8.

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Answer:

cos R is 44/55

sin S is 33 / 55

Answer:

12/20=3/5   5/20=1/4 so the answer would be 12/20 + 5/20

Hope this helped you!!

Equivalent fractions for \(\boldsymbol{\frac{3}{5},\frac{1}{4}}\) are \(\boldsymbol{\frac{12}{20},\frac{5}{20}}\) respectively.

A fraction is a portion of another or, more broadly, a set of equal pieces. Equivalent fractions are fractional that have the same value notwithstanding their appearance.

\(\boldsymbol{\frac{3}{5}=\frac{3\times 4}{5\times 4}}\)

  \(=\frac{12}{20}\)

\(\boldsymbol{\frac{1}{4}=\frac{1\times 5}{4\times 5}}\)

  \(=\frac{5}{20}\)

So, equivalent fractions for \(\boldsymbol{\frac{3}{5},\frac{1}{4}}\) are \(\boldsymbol{\frac{12}{20},\frac{5}{20}}\) respectively.

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Answer:

(-4.58, -2)

Step-by-step explanation:

\(\theta $ is in between \pi$ and $\frac{3\pi}{2}$ radians \\Therefore, \theta$ is in Quadrant III\\If \csc \theta = -\dfrac{5}{2}$ and cosec \theta = \dfrac{Hypotenuse}{Opposite} \\ $Therefore:\\Hypotenuse = 5\\Opposite $=-2\)

Using Pythagoras Theorem

\(5^2=(-2)^2+ x^2\\25=4+x^2\\x^2=21\\x=\sqrt{21} \approx 4.58\)

Since the angle is in the third Quadrant, Adjacent = -4.58.

Therefore, the coordinates of P(x,y) is (-4.58, -2)

Answer: a

Step-by-step explanation: edge 2021

Answer:

In bold below.

Step-by-step explanation:

There are 12*12 = 144 square inches in a square foot.

So, there are 144 in^2 per 1 ft^2

So, we have:

               144 in^2

32 ft^2     -----------   =      4608 in^2.

                   1 ft^2

For yards it is 1 yd^2 per 9 ft^2 :-

                  1 yd^2

32 ft^2 =   ------------ =   3.56 yd^2.

                    9 ft^2

The equation of the line with an undefined slope that passes through (1, 2) is expressed in slope-intercept form as: x = 1.

If a line has an undefined slope, it means the line is a vertical line that intercepts only the x-axis at a point. The equation of this type of line can be expressed in slope-intercept form as x = b, where b is the x-coordinate of the point it passes through.

We are given that a line with an undefined slope passes through the point, (1, 2). The x-coordinate of this point is 1. This means the line intercepts the x-axis at 1.

Thus, in slope-intercept form, we can write the equation of this line as x = 1.

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Answer: 6

Step-by-step explanation:

Because corresponding sides of similar triangles are proportional,

\(\frac{XY}{3}=\frac{4}{2}\\ \\ \frac{XY}{3}=2\\ \\ XY=\boxed{6}\)

answer:62.5

a dozen=12 eggs

12× 2 eggs=300

5 eggs=x

cross multiply

24x=1500

thus x=62.5

Answer:

The possible coordinates of the midpoint are -10.5 and 10.5

Step-by-step explanation:

The given parameters are;

The coordinate of A = 0

The distance from A to R which is the same as AR = 21

Given that R is on the number line, we have;

When R is on the left side of A, which is = 0 - 21 = -21, we have;

The coordinates of the midpoint, M from -21 to 0 is given as follows;

M = (A + R)/2 = (0 - 21)/2 = -10.5

When R is on the right side of A, which is = 21 - 0 = 21, we have;

The coordinates of the midpoint, M from 21 to 0 is given as follows;

M = (A + R)/2 = (0 + 21)/2 = 10.5

Therefore, the possible coordinates of the midpoint are -10.5 and 10.5.

Answer:

The answer would be 17

Step-by-step explanation:

Answer:

i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.

I hope this helps! :)

The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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Continuity of a function is when the function is continuous over the range of its domain. An example is a function f(x) = x^2, which is continuous over its domain of x∈R.

Continuity of a function is when the function is continuous over the range of its domain. A function is continuous if the graph of the function is a single, connected curve with no breaks or gaps. This means that for any point on the curve, the function is non-discontinuous. An example of a continuous function is f(x) = x^2, which is continuous over its domain of x∈R. This means that, no matter what value is put into the function, the output will always be a single value and the graph of the function will be a single, connected line. This is because the function is continuous over its entire domain, and therefore there are no breaks or discontinuities in the function. This is an example of continuity of a function.

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For maximum volume length, width and height are equal, x=y=64/3 units & the maximum volume of the box is 9,709.037 cubic units.

Step 1: Let the side of the square base be 'x' and the height be 'y'.

Step 2: Given the sum of length, width, and height is 64 inches, We can represent mathematically as,

2x+y=64 or y=64-2x ..........(1)

Step 3: Here we have to maximize the volume of the rectangular box.

Volume=Length*Width*Height

V=\(x^{2}\)y=\(x^{2}\)(64-2x).........by(1)

Step 4: To maximize, Solve V'(x)=0

(64*2x)-(2*3\(x^{2}\))=0

x(128-6x)=0 or

128-6x=0

x=64/3

S0,x=y=64/3 are the dimensions.

Step 5: Vmax=\((64/3)^{2}\)\(\times(64/3)\)

Vmax=\((64/3)^{3}\)=9,709.037 cubic units

So, the dimensions of the box are x=y=(64/3) and the maximum volume is 9,709.037 cubic units.

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Using the exponential function graph, it is found that:

1. 8.53 micrograms of insulin broke down in the second minute.

2. 0.1216 = 12.16% of the initial amount is present in the last minute.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem:

Hence, the equation is:

\(A(t) = 100(0.9)^t\)

Item 1:

This amount is \(A^{\prime}(2)\), hence:

\(A^{\prime}(t) = 100\ln{0.9}(0.9)^t\)

\(A^{\prime}(2) = 100\ln{0.9}(0.9)^2 = -8.53\)

8.53 micrograms of insulin broke down in the second minute.

Item 2:

This is the amount at the 20th minute, hence:

\(A(20) = 100(0.9)^{20} = 12.16\)

12.16 micrograms out of 100 micrograms remain, hence 0.1216 = 12.16% of the initial amount is present in the last minute.

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The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

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Wednesday

If you use a calender, it falls on a wednasday