Solve for variables and show work please

Answer:

the answer is  =-3±\(\sqrt{281}\)/2

Step-by-step explanation:

Answer:

             \(\bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}\)

Step-by-step explanation:

\(p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88\)

True. Selective distribution is a strategy in which a manufacturer limits the number of outlets at which its product is sold.

This strategy is often used for medium- and higher-priced products or stores that consumers don't expect to find on every street corner. By limiting the availability of the product, the manufacturer can maintain a premium image and prevent price erosion.

In contrast, products that are widely available and low-priced are more likely to be distributed through intensive distribution, in which the manufacturer tries to get the product into as many outlets as possible.

This strategy is effective for products with high turnover rates and where consumers prioritize convenience and accessibility over brand image.

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Answer:

12:00 i think

Step-by-step explanation:

hope this helps

The probability that a battery will break down during the warranty period is 0.1587.

The given mean and standard deviation of the life of the batteries are 40 and 16 months, respectively. Now, the warranty period is two years, which is 24 months. So, the battery will break down during the warranty period if its life is less than 24 months.

That is, we need to find P(X < 24) where X is the life of a battery. Using the standard normal distribution, the required probability is:

P(Z = (24 - 40) / 16)P(Z = - 1) = 0.1587

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Answer:

Step-by-step explanation:

\(f(x)=2−3x\)

To find f(4) , substitute the value of x that's 4 into f(x). That is for every x in f(x) replace it with 4.

We have

f(4) = 2 - 3(4)

= 2 - 12

We have the final answer as

Hope this helps you

Answer:

A

Step-by-step explanation:

f(x)=2 − 3x

f(4) = 2 - 3(4)

f(4) = 2 - 12

f(4) = -10

Best of Luck!

Answer:

im assuming that it it went up 6,2 and prolly has a pattern and that this is just a graph problem

Step-by-step explanation:

Answer:

umm i dont knowe sorry

Step-by-step explanation:

Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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The relative frequency distribution of the three categories includes

We must get percentage of students in Yes (Y), No (N) and No Response (NR) categories to allow us to create the relative frequency distribution for the athletic department.

Data:

The total number of students surveyed is 1000.

The percentage of students who answered Yes will be:

= (Y / Total) * 100

= (733 / 1000) * 100

= 73.3%

The percentage of students who answered No will be:

= (N / Total) * 100

= (162 / 1000) * 100

= 16.2%

The percentage of students who did not respond will be:

= (NR / Total) * 100

= (105 / 1000) * 100

= 10.5%.

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The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."

The statement that is NOT true is:

If x = -10, then x² = 100.

The other three statements are all true:

If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.

If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.

This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.

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Step-by-step explanation:

Answer with explanation is in the attachment

Hope it is helpful to you

Answer: 4 horas

Step-by-step explanation:

Una semana (de lunes a viernes) contiene 5 días

Si se entrena 1 hora por día:

1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)

Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)

(5+x) /6 =1.5

Despajando x:

5+x =1.5 x 6

5+x =9

x =9-5

x = 4 horas

Answer:

The y intercept of f(x) is 8 and the equation of the horizontal asymptote is y = 0

Answered by GAUTHMATH

Answer:  x=11

Step-by-step explanation:

Answer:

\( \sf \: x = 11\)

Step-by-step explanation:

Given equation,

→ 0.3(4 + x) = 4.5

Now the value of x will be,

→ 0.3(4 + x) = 4.5

→ 1.2 + 0.3x = 4.5

→ 0.3x = 4.5 - 1.2

→ 0.3x = 3.3

\( \sf \rightarrow \: x = \frac{3.3}{0.3} \)

→ [ x = 11 ]

Hence, the value of x is 11.

Answer:

Answer is C

(-2,3)

Step-by-step explanation:

Answer:

(-8, 18)

Step-by-step explanation:

To solve this system of equations using elimination, we want to eliminate one of the variables by adding or subtracting the two equations.

One way to do this is to multiply the second equation by a constant that will make the coefficient of x the same as in the first equation. In this case, we can multiply the second equation by -5, which will give us:

-15x - 10y = -60

Now we can add this equation to the first equation:

5x + 2y = -4

-15x - 10y = -60

-10x - 8y = -64

Dividing both sides by -2, we get:

5x + 4y = 32

Now we have one equation with only x and y, so we can solve for either variable.

Let's solve for y by subtracting 5x from both sides:

5x + 4y = 32

-5x = -5x

4y = 32 - 5x

Dividing both sides by 4, we get:

y = (32 - 5x) / 4

Now we can substitute this expression for y into one of the original equations to solve for x. Let's use the first equation:

5x + 2y = -4

5x + 2[(32 - 5x) / 4] = -4

Multiplying both sides by 4, we get:

20x + 2(32 - 5x) = -16

Simplifying, we get:

20x + 64 - 10x = -16

10x = -80

x = -8

Now we can substitute this value of x into either of the equations to solve for y. Let's use the first equation again:

5x + 2y = -4

5(-8) + 2y = -4

-40 + 2y = -4

2y = 36

y = 18

Therefore, the solution to the system of equations is (x, y) = (-8, 18).

Answer:

2

Step-by-step explanation:

Weighted mean formula:

\(\overline{x}=\dfrac{\displaystyle\sum^n_{i=1} w_ix_i}{\displaystyle\sum^n_{i=1} w_i}\)

The weighted mean is calculated by dividing the sum of the product of each coordinate and its weight by the sum of the weights.

Given:

\(\begin{aligned}\implies \overline{x} & = \dfrac{w_1x_1+w_2x_2}{w_1+w_2} \\\\ & =\dfrac{2 \cdot -3 + 5 \cdot 4}{2 + 5}\\\\& = \dfrac{-6+20}{7}\\\\& = \dfrac{14}{7}\\\\& = 2 \end{aligned}\)

Therefore, the weighted mean (weighted average) is 2.

Answer:

The vertex of the graph is at the point (-3, -2).

Step-by-step explanation:

The graph of the function F(x) = |x+3| - 2 will have a vertex at the point where the graph changes direction.

This occurs when the derivative of the function is equal to zero.

To find the derivative of the function F(x) = |x+3| - 2, we can use the following steps:

Since the derivative is equal to zero at x = -3, the vertex of the graph is at the point (-3, -2).

You would need approximately $2.06 (rounding to the nearest cent) at the start of the week to have an estimated 2.0% probability of running out of money.

To determine the amount of money needed at the start of the week to have a 2.0% probability of running out of money, you'll need to use the concept of probability.

Here are the steps to calculate it:

1. Determine the desired probability: In this case, it's 2.0%, which can be written as 0.02 (2.0/100 = 0.02).

2. Calculate the z-score: To find the z-score, which corresponds to the desired probability, you'll need to use a standard normal distribution table or a calculator. In this case, the z-score for a 2.0% probability is approximately -2.06.

3. Use the z-score formula: The z-score formula is z = (x - μ) / σ, where z is the z-score, x is the desired amount of money, μ is the mean, and σ is the standard deviation.

4. Rearrange the formula to solve for x: x = z * σ + μ.

5. Substitute the values: Since the mean is not given in the question, we'll assume a mean of $0 (or whatever the starting amount is). The standard deviation is also not given, so we'll assume a standard deviation of $1.

6. Calculate x: x = -2.06 * 1 + 0 = -2.06.

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To show that the vector field F(x, y, z) = (-2y, -2x, 7z) is a gradient vector field, we need to find a scalar function V(x, y, z) such that its gradient, ∇V, is equal to F. We can determine the function V by integrating the components of F with respect to their respective variables.

Let's find the function V(x, y, z) by integrating the components of F(x, y, z) = (-2y, -2x, 7z) with respect to their variables.
∫-2y dx = -2xy + g(y, z)
∫-2x dy = -2xy + h(x, z)
∫7z dz = 7/2 z^2 + k(x, y)
We can see that -2xy is a common term in the first two integrals. Similarly, we observe that there are no common terms between the first and third integrals, as well as the second and third integrals. Therefore, we can assume that g(y, z) = h(x, z) = 0, since they will cancel out in the subsequent calculations.
Now, we can rewrite the integrals:
∫-2y dx = -2xy + C1(y, z)
∫-2x dy = -2xy + C2(x, z)
∫7z dz = 7/2 z^2 + C3(x, y)
By comparing these integrals with the components of the gradient vector, we can conclude that ∇V = (-2y, -2x, 7z), where V(x, y, z) = -xy + 7/2 z^2 + C.
To determine the constant C, we use the condition V(0, 0, 0) = 0:
V(0, 0, 0) = -(0)(0) + 7/2 (0)^2 + C = 0
C = 0
Therefore, the function V(x, y, z) that satisfies V(0, 0, 0) = 0 is V(x, y, z) = -xy + 7/2 z^2. Thus, the vector field F(x, y, z) = (-2y, -2x, 7z) is indeed a gradient vector field F = ∇V.

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According to the question The function \(\(f(x) = \begin{cases} \sin x & \text{if } x < \pi \\ \cos x & \text{if } x \geq \pi \end{cases}\)\) has a jump discontinuity at \(\(x = \pi\)\).

The function \(\(f(x) = \begin{cases} \sin x & \text{if } x < \pi \\ \cos x & \text{if } x \geq \pi \end{cases}\)\)  has different definitions for \(\(x\)\) values less than \(\(\pi\)\) and greater than or equal to \(\(\pi\)\) . We will analyze the continuity of \(\(f(x)\)\) and determine the type of discontinuity, if any, at each point where \(\(f\)\)fails to be continuous.

Let's consider the points where the definitions change:

1. At \(\(x = \pi\)\), the function switches from \(\(\sin x\) to \(\cos x\)\). To determine if \(\(f(x)\)\) is continuous at this point, we need to check if the left-hand limit and the right-hand limit of \(\(f(x)\) as \(x\)\) approaches \(\(\pi\)\) exist and are equal.

The left-hand limit of \(\(f(x)\) as \(x\)\) approaches \(\(\pi\)\) is:

\(\[\lim_{x \to \pi^-} f(x) = \lim_{x \to \pi^-} \sin x = \sin \pi = 0\]\)

The right-hand limit of \(\(f(x)\) as \(x\)\) approaches \(\(\pi\)\) is:

\(\[\lim_{x \to \pi^+} f(x) = \lim_{x \to \pi^+} \cos x = \cos \pi = -1\]\)

Since the left-hand limit and the right-hand limit are different \((\(0\) and \(-1\), respectively), \(f(x)\)\) has a discontinuity at \(\(x = \pi\).\)

2. For any \(\(x\)\) values other than \(\(\pi\)\), the function maintains either the \(\(\sin x\) or \(\cos x\)\) definition, depending on whether \(\(x\)\) is less than or greater than or equal to \(\(\pi\)\). Both \(\(\sin x\) and \(\cos x\)\) are continuous functions on their respective domains, so \(\(f(x)\)\) is continuous for all \(\(x\)\) values other than \(\(\pi\).\)

To summarize, the function \(\(f(x)\)\) has a discontinuity at \(\(x = \pi\)\) with a jump discontinuity. The left-hand limit is \(\(0\)\) (the value of \(\(\sin x\) as \(x\)\) approaches \(\(\pi\)\) from the left), and the right-hand limit is \(\(-1\)\) (the value of \(\(\cos x\) as \(x\)\) approaches \(\(\pi\)\) from the right). At all other points, the function is continuous.

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Answer:

-y = 25

y = -25

When the signs are different you add, the value for x is the same so you don't need to do anythung else but to add

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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Answer:

He has to buy 8 of course

Step-by-step explanation:

Answer:

The perimeter is 36 cm

Step-by-step explanation:

Given;

area of the rectangle, A = 81 cm²

let the Length, = L

let the breadth = b

Perimeter, P = 2L + 2b

Area, A = Lb = 81

\(L = \frac{81}{b} \\\\P = 2(\frac{81}{b} ) \ + \ 2b\\\\P = \frac{162}{b} \ + \ 2b\\\\P = 162(b^{-1}) \ + \ 2b\\\\minimize \ the \ perimeter \ to \ obtain \ the \ critical \ points;\\\\P' = -162 (b^{-2}) \ + \ 2\\\\P' = \frac{-162}{b^2} \ + \ 2\\\\P' = \frac{-162 \ + \ 2b^2}{b^2} \\\\at \ critical \ points; P' = 0\\\\\frac{-162 \ + \ 2b^2}{b^2} = 0\\\\-162 \ + \ 2b^2 = 0\\\\2b^2 = 162\\\\b^2 = 81\\\\b = +/- \ \sqrt{81} \\\\b = +/- \ \ 9\\\\\)

\(since \ the \ breadth \ will \ be \ positive \ ; b = 9 \ cm\)

L = 81/9

L = 9 cm

The perimeter = 2 (L + b)

                         = 2 (9 + 9)

                         = 2(18)

                         = 36 cm

Answer:

binary sequence

Step-by-step explanation:

A binary sequence is a sequence of separate values made up of zeroes and ones, which is used to represent digital data or signals. This is because digital systems can only process binary values, which are commonly represented by 0s and 1s.

Answer:

binary

Step-by-step explanation:

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

(1/4)^2=16

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.

The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:

5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups

Now, we can find three-fourths (3/4) of 17/3:

(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

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