if you solve an equation and you end up with 2=5 that means there is no solution. True or False?

The meaning of the point (1,10) on the graph of the function is given as follows:

10 gallons of gas in the tank after one hour.

All the points in the graph of a function have the format presented as follows:

(x,y).

In which:

For this problem, the input and output variables are given as follows:

Hence the interpretation of point (1,10) is that there are 10 gallons of gas in the tank after one hour.

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Please find attached herewith the solution of your question.

if you have any question, feel free to ask.

I would start by setting up a chart like I did below.

Label one column age now and the other age in 5 years.

Since we don't know the son's age we use x.

We do know that the man's age is 4 times the son's age.

So the man's age will be 4x.

In the age in 5 year column, we add 5 to their current ages.

Now set up our equation.

Since it says "in five years" we use information in second column.

In 5 years time, he, "4x + 5", will be, equals,

3 times as old as his son, "3(x + 5)".

So we have 4x + 5 = 3(x + 5).

Solving from here, we find that x = 10.

So the son is 10 and the man is 4 times his age or 40.

Answer:

Carl can type 450 words in 5 minutes at that rate.

Step-by-step explanation:

Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)

if we multiply 90wpm by 5 Minutes, we get 450 words per minute

Answer:

A. 1/cos(2x)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

on edge

The parabola is symmetric with respect to the y-axis, and its shape and size are determined by the coefficient of x, which in this case is 20.

The equation of a parabola with its vertex at the origin can be expressed as y² = 4px, where p is the distance from the vertex to the focus. In this case, the focus is located at (-5, 0), which means the distance from the vertex to the focus is 5 units. Substituting the values into the equation, we get:

y² = 4(5)x

Simplifying further:

y² = 20x

Therefore, the equation of the parabola with vertex at the origin and focus (-5, 0) is y² = 20x.

This equation represents a parabola that opens to the right, with the vertex at the origin (0, 0). The focus is situated 5 units to the left of the vertex along the x-axis. The directrix of the parabola is a vertical line 5 units to the right of the vertex, given by the equation x = 5.

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Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

16 brainlist pls

Step-by-step explanation:

To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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\( \frac{dx}{dt} = 28.2 \: \frac{m}{hr}\)

Step-by-step explanation:

Let y = height of the pole = 35 m (constant)

x = length of the shadow

They are related as

\( \tan \theta = \frac{y}{x} \)

or

\(x = \frac{y}{ \tan\theta } = y \cot \theta\)

Taking the time derivative of the above expression and keeping in mind that y is constant, we get

\( \frac{dx}{dt} = y( - \csc^{2} \theta) \frac{d \theta}{dt} \)

Before we plug in the numbers, let's convert the degree unit into radians:

\(40° \times ( \frac{\pi \: rad}{180°}) = \frac{2\pi}{9} \: radians\)

Since the angle is decreasing, then d(theta)/dt is negative. Therefore, the rate at which the shadow is lengthening is

\( \frac{dx}{dt} = (35 \: m)( - \csc^{2} \frac{2\pi}{9} )( - \frac{1}{3} \frac{rad}{hr} )\)

or

\( \frac{dx}{dt} = 28.2 \: \frac{m}{hr} \)

Answer:

2 quarters, 2 dimes, and 1 nickel

Step-by-step explanation:

25 times 2 = 50

10 times 2 = 20

1 times 5 = 5       +

____________

0.75

The coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Michele who has 5 coins Worth 0.75 in all.

We can distribute the coins in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Therefore, the coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

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Answer:

\(8^{2} + -4\)   = 64 - 4 =60

Step-by-step explanation:

Answer:

Assuming 64y - 24z = 0, y= 3z/8 and z = 8y/3

Step-by-step explanation:

plugged it into a calculator.

-1.1 is the required production rate of the soyabean after taking both the conditions as specified.

Consider a function f(x, y) that depends on the two variables x and y, x and y being independent of one another. The function f is said to be somewhat dependent on x and y at that point. The derivative of f is now known as the partial derivative of f if we calculate its derivative. Take y as a constant if we differentiate the function f with respect to x, and vice versa if we differentiate f with respect to y.

S = S ( R, T ) ;

T = T (t)

R = R (t)

Hence,

\(\frac{dS}{dt}\) = \(\frac{δS}{δR}\) \(\frac{dR}{dt}\)  +  \(\frac{δS}{δT}\) \(\frac{dT}{dt}\)  ............................(1)

Hence,

\(\frac{δS}{δT}\) = -2                                \(\frac{δS}{δR}\) = 8

\(\frac{dR}{dt}\) = - 0.1                     \(\frac{dT}{dt}\)= 0.15

Therefore from (1)

\(\frac{dS}{dt}\) = -8 * (0.1) + (-2)* (0.15)

\(\frac{δS}{δT}\)= -0.8 - 0.3

\(\frac{dS}{dt}\) = -1.1

Hence , we get all the required values.

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Answer:

I think √8

Step-by-step explanation:

an integer to the power of 2

The correct answer is b. Characteristic equation. the equation formed by equating the denominator of a transfer function to zero is known as the characteristic equation.

In control systems theory, the characteristic equation is formed by equating the denominator of a transfer function to zero. It plays a crucial role in the analysis and design of control systems.

The transfer function of a control system is represented as the ratio of the Laplace transform of the output to the Laplace transform of the input. The denominator of the transfer function represents the characteristic equation, which is obtained by setting the denominator polynomial equal to zero.

The characteristic equation is an algebraic equation that relates the input, output, and system dynamics. By solving the characteristic equation, we can determine the system's poles, which are the values of the complex variable(s) that make the denominator zero. The poles of the system are crucial in understanding the system's stability and behavior.

The characteristic equation helps in determining the stability of a control system. If all the poles of the characteristic equation have negative real parts, the system is stable. On the other hand, if any pole has a positive real part or lies on the imaginary axis, the system is unstable or marginally stable.

Moreover, the characteristic equation is used to calculate important system properties such as the natural frequency, damping ratio, and transient response. These properties provide insights into the system's performance and behavior.

In summary, it plays a fundamental role in control systems analysis and design, allowing us to determine system stability, transient response, and other important properties.

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Answer:

10 burritos

Step-by-step explanation:

Answer:   this means the corresponding sides of the shape is enlarged in a uniform multiple. In this case, the ratio of the sides remains the same

Step-by-step explanation:

Let's consider the information given to us:

Now we know these proportions are equal, so:

    \(\frac{3}{5}=\frac{81}{x}\\ 3x = 5 * 81\\3x = 405\\x = 135\)

Thus the two cities are 135 km apart

Answer: 135 km

Hope that helps!

Answer:

135 km

Step-by-step explanation:

5 km / 3cm   *  81 cm  = 135 km  

     ( see how the 'cm' cancel and you are left with 'km' as your answer?)

The mistake that the researcher made is that; neither critical nor obtained Chi squares can have negative values

A chi-square statistic is one way to show a relationship between two categorical variables. In statistics, there are two types of variables: numerical (countable) variables and non-numerical (categorical) variables.

The chi-squared statistic is a single number that tells you how much difference exists between your observed counts and the counts you would expect if there were no relationship at all in the population.

Now, Chi square (χ²) is the sum of a set of squared values, and as such it can never be negative. The minimum chi - squared value would be obtained if each Z = 0 so that χ² would also be 0. There is no upper limit to the χ² value. Similarly, the critical chi square cannot also be negative.

Thus, we can conclude that the mistake that the researcher made is that neither critical nor obtained Chi squares can have negative values

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Solution

Where

Now,

Therefore, V = 150

Answer:

false

Step-by-step explanation:

Not every whole number can be a natural number

Answer:

A

Step-by-step explanation:

Let's call the length of each of the other two sides x. Since the triangle is isosceles, it has two sides of equal length. Therefore, the perimeter of the triangle can be expressed as 6 + x + x Simplifying this equation, we get  2x + 6 We know that the perimeter is 22 cm so we can set up an equation and solve for x. 22 = 2x + 6 Subtracting 6 from both sides, we get  16 = 2x Dividing both sides by 2, we get x=8

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

31

Step-by-step explanation:

The solution of expression 20 divided by cos70° is,

⇒ 20 divided by cos70° = 58.82

We have to given that,

A number 20 divided by cos70°.

We can simplify the expression as,

20 divided by cos70°

⇒ 20 ÷ cos 70°

⇒ 20 / cos 70°

⇒ 20 / 0.34

⇒ 20 x 100 / 0.34x100

⇒ 2000/34

⇒ 58.82

Therefore, The solution of expression 20 divided by cos70° is,

⇒ 20 divided by cos70° = 58.82

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Answer:

Solution given:

x+4y=8.......[1]

since slope intercept form is:

y=mx+c where m=slope and c=constant

making equation 1 in slope intercept form:

x+4y=8

4y=8-x

y=\(\frac{-x+8}{4}\)

y=-¼x+2

comparing above equation with y=mx+c we get

m=-¼

So slope is -¼.

Answer:

Step-by-step explanation:

Change 2/5 to a decimal

2/5 = 0.4

Change 1 2/15 of a fluid ounce to a decimal.

1.133333

Set up your proportion.

0.4 / 1.133333 = x / 5               Cross multiply

0.4*5 = 1.133333*x

2 = 1.133333 x                         Divide by 1.1333333

2/1.33333 = x

x = 1.5 ounces.

He needs 1.5 ounces of red to make 5 ounces of purple.

The number of subsets that can be formed from the elements of S is 2n

Let S be a sample space with n elements.

If a set A is a subset of S, then the elements of A are either in S or not in S.

There are two choices for each element of S, either in or not in A.

There are 2 choices for the first element, 2 for the second element, and so on, ending up with 2 for the nth element. By the counting principle, there are 2 · 2 · 2 · ... · 2 = 2n subsets of S.

Hence proved.

Therefore, the number of subsets that can be formed from the elements of S is 2n.Subset: A subset of a set is any set whose elements are all contained in the original set.

If A is a subset of B, every element of A is also an element of B.

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The line x + y = 9 is y = -x + 6 is keeps through the point (5,1).

To find the equation of the line that passes through the point (5,1) and is parallel to the line x + y = 9, we need to first find the slope of the line x + y = 9.

Rearranging the equation in slope-intercept form, we get y = -x + 9

The slope of this line is -1, since the coefficient of x is -1.

Since the line we want to find is parallel to this line, it will have the same slope of -1.

Using the point-slope form of a line, the equation of the line passing through the point (5,1) and with a slope of -1 is: y - 1 = -1(x - 5)

Simplifying and rearranging the equation, we get:

y - 1 = -x + 5

y = -x + 6

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Answer:9x8=8x9

Step-by-step explanation:

Beacause if you multiply it is the same forwards and backwards

Answer:

9x8=8x9

by-step explanation: