You add 2 numbers between 10 and 100.
You also subtract them.
The add answer is at least 30 more than the subtract answer.
What could they be?

Answer:

6x = 36 is the correct expression.

Answer:

6x=36 so we divide both side by 6, then we will gate the x =6

Step-by-step explanation:

Answer: the numerator

Step-by-step explanation:

The variable is up against an upper limit. in a maximization problem, a binding less than or equal to (≤)

constraint indicates that the variable associated with the constraint has reached or is at its upper limit. It implies that the variable cannot increase further without violating the constraint.

This constraint acts as a restriction that limits the potential values the variable can take in the optimization problem.

When a constraint is binding, it means that the optimal solution to the problem is achieved when the constraint is satisfied with equality. In the context of a maximization problem,

if a variable is up against an upper limit and the constraint is binding, it suggests that the variable is already maximizing its value within the given constraint.

In contrast, if the constraint is not binding, it means that the variable has not reached its upper limit and has the potential to increase further while still satisfying the constraint. In such cases, the variable can be increased to improve the objective function value and optimize the problem further.

It's important to note that the shadow price, also known as the dual value or marginal value, represents the rate of change of the objective function with respect to a constraint. It indicates the sensitivity of the objective function to changes in the constraint.

The sign of the shadow price is not determined by the direction of the constraint (≤ or ≥), but rather by the problem formulation and the specific constraints and variables involved.

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Regarding resolving the given issue, we have Total equation  cost = 225 + 80*4 = 545 This is less than the $970 she will have in total ($410 + $560).

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

A) Let's start by figuring out the DJ's total cost. Kat will pay $80 per hour, so if she hires him for X hours, she will spend 80*X dollars. When the venue fee is added, the party's whole cost is:

Cost overall = 225 + 80*X

With the money she has saved and the money she will make, Kat can afford to pay the party's entire cost, which is the sum of the DJ and venue costs. In order to express the potential number of hours Kat will be able to afford to pay the DJ for the party, we may construct the following compound inequality:

225 + 80*X ≤ 410 + 560

80*X ≤ 795

X ≤ 9.9375

The compound inequality is as a result:

0 ≤ X ≤ 9.9375

B) Based on Part A, we know that Kat has the money to hire the DJ for 0 to 9.9375 hours. Kat could be able to pay the DJ for four hours, considering that:

Total cost = 225 + 80*4 = 545

This is less than the $970 she will have in total ($410 + $560).

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For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The solution of the system of equation is (-3.4, -9).

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

Add the two equations,

–2.1x + 4y + 2.1x – 5.5y = –0.2 + 5.3

-2.1x + 2.1x + 4y -5.5y = 5.1

-1.5 y = 5.1

y = 5.1/1.5

y = -3.4

Now, substitute the value of y in any one of the equation, therefore,

-2.1x + 4y = 5.3

-2.1x + 4(-3.4) = 5.3

-2.1x - 17.36 = 5.3

-2.1x = 22.66

x = -9

Hence, the solution of the system of equation is (-3.4, -9).

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Answer:

(-9 , -3.4)

Step-by-step explanation:

Answer:

(0,1)(4,9)

Step-by-step explanation:

The graphs of both the functions are compared and shown in the graph.

Given are the functions as -

y = x²  and   y = ax²

The given functions are -

y = x²  and   y = ax²

Refer to the graph attached. It shows the plot of both the functions plotted. The graph of y = ax² is either much wider or narrower than the graph of y = x² depending upon the value of [a]. For [a] < 0, the graph open downwards and for [a] > 1, the graph open upwards.

Therefore, the graphs of both the functions are compared and shown in the graph.

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Answer:

Length 6,  Width 2

Step-by-step explanation:

6x2 = 12 = Area

6+6+2+2= 16 = Perimeter

Answer: A. 2 ft by 6 ft

Step-by-step explanation: I took the test and got it right.

Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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Answer

What event will cost the least for 9 tickets?

the wave pool

How much less will this event cost?

$20.25

Hope it helps :)

Step-by-step explanation:

The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

the answer her is 180 the second one

The scalar projection of b onto a is -7.33.

The scalar projection of a vector b onto a vector a is the magnitude of the component of b that is parallel to a. It is calculated by taking the dot product of the two vectors, and dividing it by the magnitude of a. Mathematically, this is represented by the equation:

(a⋅b)/|a|

In this example, the dot product of vectors a and b is equal to -66, and the magnitude of vector a is equal to 9. Therefore, the scalar projection of b onto a is equal to -7.33.

To calculate the scalar projection, we first need to calculate the dot product of a and b. To do this, we take the components of each vector and multiply them together. For vector a, this is done by taking -2 multiplied by -3, 8 multiplied by -10, and 3 multiplied by 5. We then add all of these products together to get the dot product of a and b, which is equal to -66.

Next, we calculate the magnitude of vector a, which is done by taking the square root of the sum of the squares of its components. For vector a, this is equal to the square root of (-2)^2 + (8)^2 + (3)^2, which is equal to 9.

Finally, we divide the dot product of a and b by the magnitude of a, which is -66 divided by 9, which is equal to -7.33. Therefore, the scalar projection of b onto a is -7.33.

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Answer:

D

Step-by-step explanation:

2(k-6)=J+6

Answer:

1) 1.96

2) 6

3) 4/3

Step-by-step explanation:

think of exponents as repeated multiplication. the exponent is how many times you're going to multiply the number itself by.

1) \(1.4^{2}\) is really just 1.4 * 1.4, which you can solve by long multiplication or a calculator to get 1.96

2) for this one, you can rewrite the expression as a fraction. you'll also want to use PEMDAS, starting with the parentheses

\(\frac{300}{ 2(0.5+4.5)^{2}}\\\\\frac{300}{2*(5)^2}\\\\\frac{300}{2*25} \\\\\frac{300}{50} = 6\)

3) \((\frac{1}{2})^{3} = \frac{1}{2} *\frac{1}{2} *\frac{1}{2} = \frac{1}{8} \\\)

you can rewrite the division as a fraction again, only this time. you can change the subtraction to the reciprocal of the denominator

\(\frac{1}{3} / (2*\frac{1}{8} )= \frac{1}{3} / \frac{1}{4} = \frac{1}{3} * 4 = \frac{4}{3}\)

hope this helped!

the turning point(s) of a polynomial function by using below steps

To find the turning point of a polynomial function, follow these steps:

1. Determine the degree of the polynomial. The turning point will occur in a polynomial of odd degree (1, 3, 5, etc.) or at most one turning point in a polynomial of even degree (2, 4, 6, etc.).

2. Write the polynomial function in the form f(x) = axⁿ + bxⁿ⁻¹ + ... + cx + d, where n represents the degree of the polynomial and a, b, c, d, etc., are coefficients.

3. Find the derivative of the polynomial function, f'(x), by differentiating each term of the function with respect to x. This will give you a new function that represents the slope of the original polynomial function at any given point.

4. Set f'(x) equal to zero and solve for x to find the x-coordinate(s) of the turning point(s). These are the values where the slope of the polynomial function is zero, indicating a potential turning point.

5. Substitute the x-coordinate(s) obtained in step 4 into the original polynomial function, f(x), to find the corresponding y-coordinate(s) of the turning point(s).

6. The turning point(s) of the polynomial function is given by the coordinates (x, y), where x is the x-coordinate(s) found in step 4 and y is the y-coordinate(s) found in step 5.

By following these steps, you can find the turning point(s) of a polynomial function.

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The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test.

The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test. This test measures the time it takes for blood to clot and is used to assess the functioning of the clotting factors in the blood. It is commonly used to evaluate the extrinsic pathway of the coagulation cascade, which involves factors outside of the blood vessels.

The PT test is an important diagnostic tool in hematology and is used to diagnose or monitor conditions that affect blood clotting, such as bleeding disorders or the effectiveness of anticoagulant medications. By measuring the PT, healthcare professionals can determine if there are any abnormalities in the coagulation process and make appropriate treatment decisions.

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Answer:

10500

Step-by-step explanation:

10500 / 35 =3000

Answer:

Option (4)

Step-by-step explanation:

Domain of a relation or function is the set of input values (x-values) and Range is the set of output values (y-values).

Therefore, from the given table in the attachment,

Domain → {10, 15, 19, 32}

Range → {-1, 5, 9}

Option (4) will be the correct option.

\(\textit{area of a sector of a circle}\\\\ A=\theta\cdot \cfrac{ r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{7\pi }{4}\\[1em] r=6 \end{cases}\implies A=\cfrac{7\pi }{4}\cdot \cfrac{6^2}{2} \\\\\\ A=\cfrac{63\pi }{2}\implies A\approx 98.96~in^2\)

Answer:

7(4+x)

when x = 5

7(4+5)

28+35 = 63

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

m = 123, g = 273

Step-by-step explanation:

m is the number of monkeys, g is the number of giraffes. We will use a system of equations.

m + g = 396

g = 2m + 27

Plug g into the first equation.

m + 2m + 27 = 396

Add like terms.

3m + 27 = 396

Simplify.

m = 123

Plug the value of m into the second equation

g = 2(123) + 27

Simplify

g = 273

To begin, let's define some of the terms mentioned in the question. A random variable (RV) is a variable whose possible values are outcomes of a random phenomenon.

A non-negative RV is a random variable that can only take non-negative values (i.e. values greater than or equal to zero).

A variable is a quantity or factor that can vary in value.

Now, let's look at the problem at hand.

We are given that G is an uniform random variable on [-t,t]. This means that the probability distribution of G is uniform over the interval [-t,t].

We are also given that X is a non-negative RV that is independent of G. This means that the probability distribution of X is not affected by the values of G.

Finally, we are asked to show that for any t >= 0, it holds:

(smoothing Markov)

To prove this, we can use the definition of conditional probability.

P(X > x | G = g) = P(X > x, G = g) / P(G = g)

By independence, we know that P(X > x, G = g) = P(X > x) * P(G = g).

Since G is a uniform RV, we know that P(G = g) = 1 / (2t) for any g in [-t,t].

So, we can simplify the equation as:

P(X > x | G = g) = P(X > x) * (2t)

Now, we can use the law of total probability to find P(X > x), which is the probability that X is greater than x:

P(X > x) = ∫ P(X > x | G = g) * P(G = g) dg

where the integral is taken over the interval [-t,t].

Substituting in the equation we derived earlier, we get:

P(X > x) = ∫ P(X > x) * (2t) * 1/(2t) dg

Simplifying, we get:

P(X > x) = 2 * ∫ P(X > x) dg

Now, we can use the definition of expected value to find E(X):

E(X) = ∫ x * f(x) dx

where f(x) is the probability density function of X.

Using the same logic as before, we can find the probability that X is greater than or equal to t:

P(X >= t) = 2 * ∫ P(X >= t) dg

Substituting this into the original equation, we get:

(smoothing Markov)

Therefore, we have shown that for any non-negative RV X which is independent of G and for any t >= 0, it holds that:

(smoothing Markov)

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The value of function  f(4) is 27.

It is required to find the value of function  f(4).

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given that:

The function is

f(x) = 6x +3

Now put the value x=4 in the given function, we get

f(4)=6(4) +3

= 24+3

=27

f(4)=27.

Hence, the value of function  f(4) is 27.

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Answer:

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

1st term -2 + 3= 2nd term 1 + 3= 3rd term 4....... and so on to 14th term, which is 37

Answer:

subtract 5 from both sides of the equaton

Step-by-step explanation:

(2x - 3)^2 + 5 = 20

(2x-3)^2 =25

The probability of the intersection of events A and B, P(A and B), is equal to 0.7.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

The probability of the intersection of events A and B, denoted as P(A and B) or P(A ∩ B), can be found using the formula:

P(A and B) = P(BA) = P(A) * P(B | A)

Given the information provided:

P(A) = 0.3

P(B) = 0.79

P(BA) = 0.7

We can use the formula to calculate P(A and B):

P(A and B) = P(BA) = P(A) * P(B | A) = 0.3 * P(B | A)

To find P(B | A), we can use the formula for conditional probability:

P(B | A) = P(BA) / P(A)

Substituting the values:

P(B | A) = P(BA) / P(A) = 0.7 / 0.3

Now, let's calculate P(A and B):

P(A and B) = P(BA) = P(A) * P(B | A) = 0.3 * P(B | A) = 0.3 * (0.7 / 0.3) = 0.7

Therefore, the probability of the intersection of events A and B, P(A and B), is equal to 0.7.

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Answer:

the solution is B

Step-by-step explanation:

Answer:

\(-9x-10y\)

Step-by-step explanation:

\(10yi^2-9x \\ \\ =10y(-1)-9x \\ \\ =-9x-10y\)