PLEASE HELP!! QUESTION IS IN IMAGE

Answer:

The  result of the verification is : The indicated function is an explicit solution of the given differential equation

Step-by-step explanation:

From the question we are told that

The  given differential equation is  9y' + y = 0

  The  indicate solution is \(y = e^{-\frac{x}{9} }\)

Generally \(y' =  -\frac{1}{9} e^{-\frac{x}{9} }\)

So

    \(9( -\frac{1}{9} e^{-\frac{x}{9} }) + e^{-\frac{x}{9} } =0\)

For the  indicated function to be explicit solution of the given differential equation then the RHS and LHS of the above equation must be that same

      \(- e^{-\frac{x}{9} } + e^{-\frac{x}{9} } =0\)

      \(0=0\)

Thus result of the verification is : The indicated function is an explicit solution of the given differential equation

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The number of trucks needed is an illustration of rates

The number of trucks needed is 42

The size of the backfill is given as: 243 CY

A truck can load up to 162 CF

So, the number of trucks needed is calculated as:

\(n = \frac{243 CY}{162 CF}\)

Convert CY to CF

\(n = \frac{243 * 27CF}{162 CF}\)

Solve

\(n = 40.5\)

Approximate

\(n = 41\)

Hence, 41 trucks are needed

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The letter "V" in the equation XXX × YV=••••+666=799Y is replaced by the number 89.

The equation can be simplified to XXX × YV=1335.

If both sides of the equation are divided by 3, X × YV = 445.

If now all the X's is replaced with 5's, 5 × YV = 445.

This gives the following equation:

5 × YV = 445

Now multiply both sides of the equation by Y, to get 5Y = 445.

This gives us the following equation:

5Y = 445

Finally, divide both sides of the equation by 5, to get Y=89.

Therefore, the letter "V" in the equation XXX × YV=••••+666=799Y is replaced by the number 89.

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The point of intersection of the equations C = 100t + 5000 and C = 75t + 7000 represents the  the point in time where the cost of installing either will be the same.

Linear equations are equations where the right hand side and left hand side involves expressions with one or more variables for which the highest degree of the variable being 1.

We have two linear equations given,

C = 100t + 5000 and C = 75t + 7000.

The point of intersection of these linear equations will be when both the equations are equal.

100t + 5000 = 75t + 7000

100t - 75t = 7000 - 5000

25t = 2000

t = 2000/25

t = 80

This is the point in time where the cost of installing either will be the same, that is after 80 months.

Cost of installing = (100 × 80 ) + 5000 = 13,000

Or                         = (75 × 80) + 7000 = 13000

Hence the point of intersection of these equations represent the point in time where the cost of installing either will be the same.

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Answer:

B.) Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 2, and 3. The graph intersects the y axis at a point between 15 and 20.

Step-by-step explanation:

Cubic graph falls to the left and rises to the right. Option C is the correct answer.

We need to identify the graph graph best represents the function f(x) = (x − 1)(x + 3)(x − 3).

A cubic function is a polynomial function of degree 3 and is of the form f(x) = ax³+ bx² + cx + d, where a, b, c, and d are real numbers and a ≠ 0.

Graph the cubic using its end behaviour and a few selected points. Falls to the left and rises to the right.

Plot these points on graph (-1, 16), (0, 9), (1, 0), (2, -5) and (3, 0).

Therefore, option C is the correct answer.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Answer:

  C and D

Step-by-step explanation:

Population density is the ratio of population to area. Its units are persons per square mile. Here, you're being asked to compare the population densities of several countries to the average population density in several US states.

__

The idea of "average population density of the 10 states listed" is somewhat ambiguous. It could mean either of (a) the ratio of the total of the states' population to the total of their land area, or (b) the average of the population densities of the states. (In the attached, we computed both, but the answer remains the same using either number.)

When there are numerous identical calculations to be performed, it is convenient to let a spreadsheet do them. The attached spreadsheet shows the population densities for the 10 states and 5 countries listed.

Depending on how you define it, the average population density of the 10 states is about 10.5 or about 15.7 people per square mile. (15.7 is the average of the density numbers, found using the spreadsheet AVERAGE function.)

__

The 5 countries have population densities ranging from about 7.7 to 236 people per square mile. Two of the countries have density below 10.5, so are the answers to the question asked.

  Canada (C) and Iceland (D) have population density below the US state average.

Since there is no number greater or less than the above one, it doesn't contain any outlier.

The given data set is

17.2  22.1  18.5  17.2  18.6  14.8  21.7  24.1  13.3  16.2

17.5  19.0  23.9  14.8  13.5  15.8  13.1  16.1  21.9  23.9

19.3  15.4  16.7  19.5  16.2  16.9  17.1  20.2  19.7  18.7

17.6  15.9  15.2  17.1  15.0  15.8  16.3  22.8  22.2  21.7

20.7  12.0  19.9  19.4  13.4  19.8  17.7  18.8  21.6  11.9

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

(a) Sample Mean = The Sum of the given terms/Number of terms

So, sample mean as µ=17.954

Variance can be denoted by \(s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2\)

=9.97

Standard deviation s=√9.97

=3.16

b) The standard error can be denoted by:

s/√n-1 = 3.16/√49

=0.45

c) For the given data,

The value of the least sample number =12.0

The value of the greatest number in sample=24.1

So, Q1=15.83

Median =17.75

Q3=19.88

d) The IQ range would be as follows:

Q3-Q1=19.88-17.75

=4.05

The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.

Since there is no number greater or less than the above one, it doesn't contain any outlier.

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Answer:

10

Step-by-step explanation:

Answer: \(-\csc x\)

Step-by-step explanation:

I will be writing 'csc' instead of 'cosec'.

Since \(\csc x\) has a period of \(2\pi\),

\(\csc(5\pi+x)=\csc(3\pi+x)=\csc(\pi+x)=\boxed{-\csc x}\)

The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.

A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.

The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.

In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.

The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.

The answer is: B.

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Answer:

70 degrees

Step-by-step explanation:

The measure of the central angle equal the measure of the arc it intercepts.

So arc BC is 70 degrees.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Parallelogram have two pairs of opposite sides that are parallel and congruent.

In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.

For example, let's consider a parallelogram ABCD:

These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).

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The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Answer:

20% + 100% = 120% therefore ( 316x120% ) ÷ 100 = 379.2 = original price

a) A discrete random variable is a variable that can take only a countable number of distinct values, such as 0, 1, 2, 3, 4, and so on.

b) Examples of discrete random variables are the number of children in a family, the number of people who go to the cinema on Friday nights, etc.

c) E(x) = 1/p

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Discrete random variables are used to quantify the results of random experiments. A discrete random variable takes on an infinite number of possible outcomes. In general, discrete random variables can be counted as 0, 1, 2, 3, 4, ...

Geometric Distribution :

The geometric variate is the variate that specifies the number of consecutive failures before the first success in Bernoulli trials. The probability of success of a Bernoulli trial is given by p and the probability of failure is 1 - p.

The Geometric Random Variable can be written as X ~ G(p).

The probability mass function is P(X = x) = (1  - p)ˣ⁻¹ p

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Answer:

D trapezoid

Step-by-step explanation:

i used the graphing demos

Using Venn Diagram formula, 13 students ordered both food, 10 students ordered meat pie but not fried rice​.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams help to visually represent the similarities and differences between two concepts.

Using Venn diagram formula,

n(A U B) = n(A) + n(B) – n (A ⋂ B)

Given,

n(A U B) = Total students = 50

n(A) = 23 ordered meat pie

n(B) = 34 ordered fried rice

6 ordered neither meat pie nor fried rice

As 6 students ordered neither meat pie nor fried rice,

Total students = 50 - 6 = 44

According to n(A U B) = n(A) + n(B) – n (A ⋂ B)

⇒ 44 = 23 + 34 - n (A ⋂ B)

⇒ 44 = 57 - n (A ⋂ B)

⇒ - 57 + 44 = - n (A ⋂ B)

⇒ n (A ⋂ B) = 13

13 students ordered both food.

students ordered meat pie but not fried rice​ = n(A) – n (A ⋂ B) = 23 - 13 = 10

10 students ordered meat pie but not fried rice​

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Answer:

12.8844

the answer is (a)12.8844

a is the correct answer.......

Answer:

249 in

Step-by-step explanation:

Answer: 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink.

Step-by-step explanation:

We can use the principle of linear equations. Let's say that the first type of drink is represented by x, and the second type is represented by y. We can then set up the following system of equations:

x + y = 170 (1)

0.4x + 0.9y = 0.45 * 170 (2)

We can solve for x and y using the methods of linear algebra. To do this, we can multiply equation (1) by 0.9, and equation (2) by 0.4, and then subtract the two equations to get the following equation:

0.9x - 0.4y = 0.45 * 170 - 0.4x - 0.9y

0.5x = 0.45 * 170 - 0.9y

x = (0.45 * 170 - 0.9y) / 0.5

We can substitute this expression for x into equation (1) and solve for y:

y = 170 - x

y = 170 - (0.45 * 170 - 0.9y) / 0.5

2.2y = 170 - 0.45 * 170

y = (170 - 0.45 * 170) / 2.2

y = 85 / 2.2

We can then substitute this value for y back into equation (1) to solve for x:

x = 170 - y

x = 170 - (85 / 2.2)

x = 170 - 38.63636

x = 131.36363

Therefore, the Royal Fruit Company needs to use 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink, in order to produce 170 pints of a mixture that is 45% pure fruit juice.

Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d

Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.

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2 represent (d) the rate at which the population is growing every day.

The given expression is 100(2) x.

According to the ideal exponential expression f(x) = a(b)x.

‘a' is the function's beginning or starting value.

‘b’ is the growth multiplier or growth factor per unit x.

In our question,

f(x) = a(b)x = 100(2)x.

So, a = 100 = initial value

     b = 2 = growth factor.

Hence, 2 in the expression 100(2)x represents the growth factor or growth multiplier or rate at which the population is growing.  

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Answer:

abb_xdcb_apn come here 10th girls for studies.

Step-by-step explanation:

75.80-18.9

67.71

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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