Which ordered pair is a solution of the equation?
y = -2x - 5
A (1,7)
B (2,-7)
C Both

Step-by-step explanation:

b = 42

c = 138

plz mark my answer as brainlist plzzzz if you find it useful .

Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

Answer:

36 elves

Step-by-step explanation:

Using proportions

We have space for 30 more giants

30 giants     x elves

------------- = ----------

120  full      144 elves  full

Using cross products

30*144 = x*120

Divide each side by 120

30*144/120 = 120x/120

36 = x

We can have 36 elves

Answer:

The constant is that each 14 t-shirts you need to pay 78.40$

Step-by-step explanation:

If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.

The solution to the expression 4+(−634) is -630

From the question, we have the following parameters that can be used in our computation:

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

a.we get, `A = √(2α³/π)`.

b.`⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

c.we can say that the variational principle is valid in this case.

(a) Let's find the normalization constant A.

We know that the integral over all space of the absolute square of the wave function is equal to 1, which is the requirement for normalization.  `∫⟨ψ|ψ⟩dx= 1`

Hence, using the given trial wavefunction, we get, `∫⟨ψ|ψ⟩dx = ∫ |A/(x^2+α²)|²dx= A² ∫ dx / (x²+α²)²`

Using a substitution `x = α tan θ`, we get, `dx = α sec² θ dθ`

Substituting these in the above integral, we get, `A² ∫ dθ/α² sec^4 θ = A²/(α³) ∫ cos^4 θ dθ`

Using the identity, `cos² θ = (1 + cos2θ)/2`twice, we can write,

`A²/(α³) ∫ (1 + cos2θ)²/16 d(2θ) = A²/(α³) [θ/8 + sin 2θ/32 + (1/4)sin4θ/16]`

We need to evaluate this between `0` and `π/2`. Hence, `θ = 0` and `θ = π/2` limits.

Using these limits, we get,`⟨ψ|ψ⟩ = A²/(α³) [π/16 + (1/8)] = 1`

Therefore, we get, `A = √(2α³/π)`.

Hence, we can now write the wavefunction as `ψ(x) = √(2α³/π)/(x²+α²)`.  

(b) Using the wave function found in part (a), we can now determine the expectation value of energy using the time-independent Schrödinger equation, `Hψ = Eψ`. We can write, `H = (p²/2m) + (1/2)mω²x²`.

The first term represents the kinetic energy of the particle and the second term represents the potential energy.

We can write the first term in terms of the momentum operator `p`.We know that `p = -ih(∂/∂x)`Hence, we get, `p² = -h²(∂²/∂x²)`Using this, we can now write, `H = -(h²/2m) (∂²/∂x²) + (1/2)mω²x²`

The expectation value of energy can be obtained by taking the integral, `⟨H⟩ = ⟨ψ|H|ψ⟩ = ∫ψ* H ψ dx`Plugging in the expressions for `H` and `ψ`, we get, `⟨H⟩ = - (h²/2m) ∫ψ*(∂²/∂x²)ψ dx + (1/2)mω² ∫ ψ* x² ψ dx`Evaluating these two integrals, we get, `⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

(c) Since we have an approximate ground state wavefunction, we can expect that the expectation value of energy ⟨H⟩ should be greater than the true ground state energy.

Hence, the value obtained in part (b) should be greater than the true ground state energy obtained by solving the Schrödinger equation exactly.

Therefore, we can say that the variational principle is valid in this case.

To know more about time-independent Schrödinger equation,visit:

https://brainly.com/question/31642338

#SPJ11

Answer:

B. 10x2y + 12z2 – 2z

Step-by-step explanation:

Divide all the terms by 2:

2xy + 12z + 3xy - z

 10x2y + 12z2 – 2z

                combine the like terms

Answer: valu of a

Step-by-step explanation: I Did the test

Answer:

The value of A affects the answer.

The determinants for the given linear system are |A| = -19, |Ax| = -74, and |Ay| = 57.

A linear system is a collection of one or more linear equations involving one or more variables.

The given linear system's determinants are:

The coefficient matrix determinant, denoted by |A|

The x variable matrix determinant, denoted by |Ax|

The y variable matrix determinant, denoted by |Ay|

To find these determinants, we first need to write the coefficient matrix and the x and y variable matrices.

The coefficient matrix is the matrix of the coefficients of the variables

| 5 2 |

|-3 -5 |

The x variable matrix is obtained by replacing the x column in the coefficient matrix with the constants on the right-hand side of the equations:

| 14 2 |

| 3 -5 |

The y variable matrix is obtained by replacing the y column in the coefficient matrix with the constants:

| 5 14 |

|-3 3 |

Now we can calculate the determinants:

|A| = determinant of the coefficient matrix = (5)(-5) - (-3)(2) = -19

|Ax| = determinant of the x variable matrix = (14)(-5) - (2)(3) = -74

|Ay| = determinant of the y variable matrix = (5)(3) - (14)(-3) = 57

Therefore, the determinants for the given linear system are |A| = -19, |Ax| = -74, and |Ay| = 57.

To know more about linear system visit:

https://brainly.com/question/29175254

#SPJ1

Answer: 4.15

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

17 + (-8) + (-8) = 17 + (-16)

                      = 1

If two numbers have same sign, then add and put the sign.

So, add (-8)and (-8), the result will have the sign (-).  -16

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

17 and (-16) have different sign and the bigger number sign is +

So, the result is 1

Easy :PP

1

-8 + -8

=

-16

-16 + 17

=

1

Answer:

Step-by-step explanation:

For Part A:

Surface Area = πr(r+ \(\sqrt{h^{2} + r^{2} }\) )

Surface Area = π 3 ( 3 + \(\sqrt{16 + 9}\) )

Surface Area = π * 3 (8)

Surface Area = π * 24

Surface Area =75.4

For Part B

V = πr^2 h/3

V = π * 9 * 4/3

v= 37.7

Send love:333

Answer:

The answer is -2

Step-by-step explanation:

When you subtract a negative with a negative, you change the problem to an addition by adding the negative number to a positive. -8--6 would look like -8+6.

Answer:

3/50.

Step-by-step explanation:

There are 10 marbles in the bag.

Probability( a green marble) =  2/10 = 1/5.

Now we replace the green marble in the bag so it contains 10 marbles again.

Probabilty(a yellow marble) = 3/10.

So Probability(Choosing a green then a red with repeacemen)

= 1/5 * 3/10

= 3/50.

First

angle in front of c is 30°, so hypotenuse is equal to 2c

it's right triangle, so let's use Pythagorean theorem\

\((2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }\)

Second

b - the base of the triangle, angles at the base are equal ⇒ cathets are equal

it's right triangle, so let's use Pythagorean theorem

\(b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}\)

Answer:

x^2-8x+15

X^2+(a+b)X+ac

=X^2-(5+3)X+(1)(15)

a+b=8

ac=15

=x^2-5x-3x+15

=x(x-5)-3(x-5)

=(x-3)(x-5)

Answer:

a) -3 and -5

a) (x - 3) (x - 5)

Step-by-step explanation:

Answer:

60.9

Step-by-step explanation:

If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.

What is a partial derivative?

In differential calculus, partial derivative is defined as the rate of change of multivariable functions concerning change in just one of its variables.

Consider the restriction of f to a line y=c,

then

\( \frac{∂f}{∂x}(x \: c) = fx(f \: c) = 0\)

Pick 2 points a and b, then by mean value theorem there is x0, such that

\(fx(x \: c) = \frac{f(b \: c) - f(a \: c)}{b - a} = 0\)

\(⟹f(b \: c) - f( \: a \: c) = 0⟹f(b \: c) = f(a \: c)⟹f(x \: c) = const.\)

We can show the same way that f(c,y)=const.

Combining f(x,c)=const and f(c,y)=const to get f(x, y)=const.

Hence, If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.

Learn more about partial derivatives at

https://brainly.com/question/28750217

#SPJ4

The interval where 9(x) is concave up is (-∞, 0).

To determine where the function \(9(x) = \int x,-1 e^{-t^²} dt\) is concave up, we

need to find the second derivative of 9(x), and then determine where it is

positive.

First, we can find the first derivative of 9(x) using the fundamental

theorem of calculus:

\(9'(x) = e^{-x^²}\)

Next, we can find the second derivative of 9(x) by taking the derivative of  9'(x):

\(9''(x) = -2xe^{-x^ ²}\)

To find where 9(x) is concave up, we need to find where 9''(x) is positive.

Since\(e^{-x^ ²}\) is always positive, the sign of 9''(x) depends on the sign of -2x.

Thus, 9(x) is concave up when -2x > 0, or x < 0.

Therefore, the interval where 9(x) is concave up is (-∞, 0).

for such more question on interval

https://brainly.com/question/28272404

#SPJ11

Answer:

\(\displaystyle \sec A=\frac{65}{63}\)

Step-by-step explanation:

We are given that:

\(\displaystyle \csc A=\frac{65}{16}\)

Where A is in QI.

And we want to find sec(A).

Recall that cosecant is the ratio of the hypotenuse to the opposite side. So, find the adjacent side using the Pythagorean Theorem:

\(a=\sqrt{65^2-16^2}=\sqrt{3969}=63\)

So, with respect to A, our adjacent side is 63, our opposite side is 16, and our hypotenuse is 65.

Since A is in QI, all of our trigonometric ratios will be positive.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

\(\displaystyle \sec A=\frac{65}{63}\)

Answer:

Step-by-step explanation:

cosec A =60/16

hypotenuse/opposite = 60/16 =15/4 (in simplest form)

therefore hypotenuse = 15 , opposite = 4  

then adjacent =? (let be x)

using pythagoras theorem to find adjacent

opposite^2 + adjacent^2 = hypotenuse^2

4^2 + x^2 = 15^2

16 + x^2 = 225

x^2 = 225 - 16

x^2 = 209

\(x=\sqrt{209}\)

sec A =hypotenuse/adjacent

\(=\frac{15}{\sqrt{209} }\)

\(=\frac{15}{\sqrt{209} } * \frac{\sqrt{209} }{\sqrt{209} }\)

=\(\frac{15\sqrt{209} }{209}\)

According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

Learn more about Zaller's model:

https://brainly.com/question/6956833

#SPJ11

The primary tool or measure for determining whether the assumed regression model is appropriate is the residual plot.

A residual plot is a graph that shows the residuals, or the differences between the observed values and the predicted values from the regression model, plotted against the predictor variable(s). If the residuals are randomly scattered around zero, with no discernible pattern, then the regression model is a good fit for the data.

However, if there is a pattern in the residuals, such as a curved or U-shaped relationship, then the regression model may not be appropriate and a different model may need to be considered.

In addition to the residual plot, other measures such as the coefficient of determination (R-squared), the p-values of the regression coefficients, and the normality of the residuals can also be used to evaluate the goodness of fit of a regression model.

However, the residual plot is often considered the primary tool for assessing the adequacy of a regression model.

To learn more about regression click on,

https://brainly.com/question/29376838

#SPJ4

Answer:

772.035cm^2

Step-by-step explanation:

To calculate the surface area of an isosceles triangle, we need the lengths of the base and the two equal sides. The formula to calculate the area of an isosceles triangle is given by:

Area = (1/4) * √(4a^2 - b^2) * b

where 'a' represents the length of the equal sides and 'b' represents the length of the base.

Given:

Base (b) = 45 cm

Equal side length (a) = 41 cm

Using the formula, we can calculate the surface area:

Area = (1/4) * √(4 * 41^2 - 45^2) * 45

Area = (1/4) * √(4 * 1681 - 2025) * 45

Area = (1/4) * √(6724 - 2025) * 45

Area = (1/4) * √(4699) * 45

Area ≈ (1/4) * 68.5812 * 45

Area ≈ 17.1453 * 45

Area ≈ 772.035 cm²

Therefore, the surface area of the isosceles triangle is approximately 772.035 cm².

Answer:

actually the answer is 1

We want to know an expression equivalent to:

which is a multiplication. For doing it, we will use the distributive property, where we multiply the first term of the first expression by each one of the terms on the second expression, and then we multiply the second term of the first expression by each one of the terms on the second expression.

We obtain:

Now, we multiply the terms as usual: first the coefficients and then the variables:

Thus, the expression equivalent is 6a² - a - 35.

The coordinate of the point N that divides the line segment MP will be (9, -5).

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The coordinates of the endpoint are (-6, 5) and (21, -13). And the ratio is 5:4. Then the coordinate of the point N is given as,

x = (21 × 5 + (-6) × 4) / (5 + 4)

x = 81 / 9

x = 9

y = ((-13) × 5 + 5 × 4) / (5 + 4)

y = - 45 / 9

y = - 5

The coordinate of the point N that divides the line segment MP will be (9, -5).

More about the section of the line link is given below.

https://brainly.com/question/6582647

#SPJ1

The area of the shape is x²+2x +1 and the perimeter is 4x +7

The area is the region covered by shape or figure whereas perimeter is the distance covered by outer boundary of the shape. The unit of area is given by square unit or unit2 and unit of perimeter is same as the unit.

The area of the shape is :

The shape is sub divided into 4 with different areas x, x , x², and 1

Therefore the area of the shape = x²+x+x+1 = x²+2x+1

The perimeter is obtained by adding all the sides

x+x+x+x+1+1+1+1+1+1+1 = 4x+7

therefore the perimeter of the shape is 4x+ 7

learn more about area and perimeter from

https://brainly.com/question/25292087

#SPJ1

To answer this problem we have to remember that the break even point occur where the revenue function and the cost function have the same value.

Then, this happens when

Pluggin the expressions of our functions and solving for x we have:

Therefore the break even point occurs when x=74000. In this points both functions have value

Answer:

72.7 inches

Step-by-step explanation:

436.2 / 6 = 72.7

Answer:

Option (B)

Step-by-step explanation:

Length of the rope Mr Hernandez has = 41 feet

He wants to enclose an area in the shape of a pentagon.

Therefore, minimum length of the rope required = perimeter of the pen

Perimeter of the pentagonal pen = Sum of the measures of all five sides of the pen

Perimeter = x + (7 - 5x) + (3x - 2) + (3x + 4) + (5 - 3x)

                = (-x + 14)

Now the length of the rope should be more than and equal to the perimeter of the pen to cover.

41 ≥ (-x + 14)

Or

-x + 14 ≤ 41

Therefore, Option (B) will be the answer.