What is the value of -7 + a, if the value of a is -3?

Answer:

7

Step-by-step explanation:

Answer:

to sum it up put all of the numbers ers in order and it is the middle number

Answer:

13, 21, 29, (35) , 38, 40, 49

Step-by-step explanation:

The medium is the number in the middle in an assorted number line so do least from greatest and pick one out of the middle

Answer:

a,d, even win a new one and it do you like

Hey there!

Finding the the answer to the [Binomial]

(a + b)^2

CONVERT:

= (a + b)(a + b)

DISTRIBUTE

= a(a) + a(b) + b(a) + b(b)

= a^2 + ab + ab + b^2

COMBINE the LIKE TERMS

= (a^2) + (ab + ab) + (b^2)

= a^2 + ab + ab + b^2

= a^2 + 1ab + 1ab + b^2

= a^2 + 2ab + b^2

Therefore, your answer should be:

a^2 + 2ab + b^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The congressional decision to fund an authorized program with a specific sum of money is called an appropriation.Appropriations play a significant role in shaping government spending and implementing policies and programs.

An appropriation refers to the act of setting aside a specific amount of funds by Congress for a particular purpose or program. It is a legislative action that determines the amount of money allocated to support authorized activities or initiatives. When Congress passes an appropriation bill, it authorizes the expenditure of funds for specific programs or agencies. This decision is crucial in the budgeting process, as it determines the financial resources available for various government programs and ensures that authorized activities receive the necessary funding.

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Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

The sample size required if we wish to develop a 90% confidence interval for the average diameter is more than 0.1 units. 

To decide the test estimate required for a 90% certainty interim for the normal distance across, we have to know the taking after :

1. The level of certainty (which is 90% in this case).

2. The standard deviation of the populace (which we'll expect is known).

3. The margin of error (which is the greatest separation between the test cruel and the genuine populace cruel that we're willing to endure).

Assuming we know the standard deviation of the populace, ready to utilize the equation:

n = (z²* σ²) / E²

where:

n is the test measure

z is the z-score compared to the level of certainty (which is 1.645 for 90% certainty)

σ is the standard deviation of the populace

E is the edge of mistake

We ought to select esteem for E, which speaks to the most extreme separation between the test cruel and the genuine populace cruel(mean) that we're willing to endure.

For case, in the event that we need the interim to have a width of no more than 0.1 units, at that point we would select E = 0.1/2 = 0.05.

So, stopping within the values we know, we get:

n = (1.645² * σ²) / E²

In case we accept that the standard deviation of the populace is 0.5 units (fair as a case), at that point we get:

n = (1.645² * 0.5²) / 0.05²

n = 67.65

Adjusting up to the closest numbers, we would require a test estimate of 68 to create a 90% confidence interim for the normal breadth with an edge of blunder of no more than 0.1 units. 

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Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.

Distance covered by John = Distance covered by Jane

Therefore, \($(x + 5) = (x + 11)$\)

Thus, x = 6

Now, we need to find the speed of both, which is given by the formulae:

Speed = Distance / Time

So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph

Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)

Speed of Jane = \($17 / 7$\) mph

Since both have to be equal, Speed of John = Speed of Jane Therefore,

\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)

Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph

Speed of Jane = \($7 / 3$\) mph

Thus, their speed was \($7 / 3$\) mph.

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Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

Answer:

  A = C²/(4π)

Step-by-step explanation:

You want a formula for the area of a circle, given its circumference.

Relevant relations for a circle are ...

  A = πr² . . . . . . . . A = area, r = radius

  C = 2πr . . . . . . . . C = circumference

Solving the circumference equation for r, we find ...

  r = C/(2π)

Substituting that into the area equation, we have ...

  A = π(C/(2π))²

  A = C²/(4π)

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The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).

The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).

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It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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The center of mass of the right triangle is 2.14

The term center of mass refer a point where the whole mass of the body is supposed to be concentrated.

Here we have given that a 60-cm length of uniform wire, of 60 g mass and negligible thickness, is bent into a right triangle.

And we need to find the center of mass.

According to the following diagram, we have identified the values of

m1 = 24

m2 = 26

m3 = 20

r1 = 5

r2 = 5

r3 = 0

Then based on these values the center of mass is calculated as,

=> [(24 x 5) + (26 x 5) + (20 x 0)]/[24 + 26 + 20]

When we simplify this one then we get,

=> [ 120 + 130 + 0] / 70

Further simplification leads the value of,

=> 150/70

=>15/7

When we simplify this fraction into decimal then we get,

=> 2.14

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a) The volume V of the open box can be calculated by multiplying the length, width, and height of the box.

Since the length and width of the metal sheet are 8in. and 15in., respectively, and perimeter with sides x are cut out from each corner, the length of the resulting box will be 8in. - 2x, the width will be 15in. - 2x, and the height will be x. Therefore, the formula for the volume V is:

V(x) = (8in. - 2x)(15in. - 2x)(x)

b) To find the domain of V(x), we need to consider both the algebraic aspect and the applied interpretation of x. In this case, x represents the side length of the squares cut out from each corner. Since the side length of a square cannot be negative, we must have x ≥ 0.

Additionally, the side length of the squares cannot exceed half the length or width of the metal sheet, otherwise, there would be no material left to form the box. Therefore, we have the additional constraint 0 ≤ x ≤ 4 (since half of the shorter side length, which is 8in., is 4in.). Combining both constraints, the domain of V(x) is 0 ≤ x ≤ 4.

c) To plot the graph of the function V(x) and estimate its range, you can use a graphing calculator or software. The range of V(x) represents the set of possible volume values for the open box. By graphing the function V(x) over the domain 0 ≤ x ≤ 4, you can observe the range of values on the y-axis.

The highest point on the graph will give you an estimate of the maximum volume attainable for the open box, while the lowest point will represent the minimum volume. By analyzing the graph, you can determine the range of V(x) based on the observed y-values.

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By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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a) The bird would fly approximately 4.17 km in a straight line from the starting point to the final point. b) The bird would fly at an angle of approximately 47.46 degrees counterclockwise from the east.

To find the distance and angle that a bird would fly in a straight line from the starting point to the final point, we can use the concept of vector addition.

(a) Distance:

The person's total displacement can be represented as a vector sum of their individual movements: 2.8 km north + 2.9 km west - 5.8 km south.

To simplify this, we can break it down into horizontal (x-axis) and vertical (y-axis) components:

Horizontal displacement = -2.9 km (west)

Vertical displacement = 2.8 km (north) - 5.8 km (south) = -3 km (south)

Now, we can calculate the straight-line distance using the Pythagorean theorem:

Distance = √(Horizontal displacement² + Vertical displacement²)

= √((-2.9 km)² + (-3 km)²)

= √(8.41 km² + 9 km²)

= √(17.41 km²)

≈ 4.17 km

Therefore, the bird would fly approximately 4.17 km in a straight line from the starting point to the final point.

(b) Angle:

To determine the angle counterclockwise from the east, we can use trigonometry. The angle can be found using the inverse tangent function:

Angle = arctan(Vertical displacement / Horizontal displacement)

= arctan((-3 km) / (-2.9 km))

= arctan(1.034)

≈ 47.46 degrees

Therefore, the bird would fly at an angle of approximately 47.46 degrees counterclockwise from the east.

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Answer:

12 inches

Step-by-step explanation:

if it is a square then you do 3×4 to get the perimeter

The second approximation to the root of the equation x³ - 9 = 0 using Newton's method with the initial approximation x₁ = -2 is approximately x₂ = -0.5833.

To apply Newton's method to find the second approximation, x₂, to the root of the equation x³ - 9 = 0, we follow these steps:

Determine the function and its derivative.

Let f(x) = x³ - 9 be the given equation. The derivative of f(x) is f'(x) = 3x².

Choose an initial approximation.

In this case, the given initial approximation is x₁ = -2.

Apply Newton's method formula.

The formula for Newton's method is:

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

We start with x₁ = -2 and substitute it into the formula to find x₂:

x₂ = x₁ - f(x₁) / f'(x₁)

Calculate x₂.

Substituting the values into the formula:

x₂ = -2 - ( (-2)³ - 9 ) / (3(-2)²)

= -2 - ( -8 - 9 ) / (3 * 4)

= -2 - ( -17 ) / 12

= -2 + 17 / 12

= -2 + 1.4167

= -0.5833

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The minimum value of x y is 0(-3) = 0. Hence, the correct answer is (B) 1.

The minimum value of the product x y for the equation y = 4x² - 3 can be found by using the formula of the vertex of a parabola which is given by (-b/2a, f(-b/2a)).

Here is the step-by-step solution:

Step 1: Write the equation in the form ax² + b x + c = 0. Thus, y = 4x² - 3 can be rewritten as 4x² + 0x - 3 = 0.Step 2: Identify the values of a and b. In this case, a = 4 and b = 0. Step 3: Use the formula of the vertex of a parabola to find the minimum value of x y.

The x-coordinate of the vertex is given by -b/2a and the y-coordinate is given by f(-b/2a).-b/2a = -0/2(4) = 0f(-b/2a) = f(0) = 4(0)² - 3 = -3

Therefore, the minimum value of x y is 0(-3) = 0. Hence, the correct answer is (B) 1.

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Answer:

whats the question you need to answer this

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Faarax Mohammed shirwa search

Answer:

no

Step-by-step explanation:

f(x) = \(\frac{1}{x-1}\)

at x = 1

f(1) = \(\frac{1}{1-1}\) = \(\frac{1}{0}\)

division by zero is undefined, thus there is a discontinuity at x = 1

so f(x) is not continuous at x = 1

Answer:

B.  $19

Step-by-step explanation:

Approximate prices:

1/4 lb ham = 0.25 * $6 = $1.50

1 1/2 lb turkey = 1.5 * $5 = $7.50

1 lb roast beef = $7

3/4 lb bologna = 0.75 * $4 = $3

Add the approximate individual prices:

$1.50 + $7.50 + $7 + $3 = $19

Answer: 3

Step-by-step explanation:

Divide the x numbers by 3 to then get the y numbers

Example: 3 divided by 1 is 3, 6 divided by 2 is 3, and it goes on!

once again the final answer is 3

hope this helps!

To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles.

To calculate the number of tiles needed for a room, follow these steps:

To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles. By measuring the length and width of the room, you can calculate the total area of the floor or wall that needs to be tiled. This is done by multiplying the length by the width.

Next, you should determine the size of the tiles you plan to use. This could be in square meters or square feet depending on your measurement preference. Knowing the area of one tile will allow you to calculate how many tiles are needed to cover the entire room. You can do this by dividing the total area of the room by the area of one tile.

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Answer:

It is the best thing ever

Step-by-step explanation:

The Charles' law calculator is a straightforward tool for determining the fundamental parameters of an ideal gas in an isobaric process.

According to Charles' law, an ideal gas's volume at constant pressure increases directly as the absolute temperature does. As long as the pressure placed on a sample of a dry gas remains constant, the law also states that the Kelvin temperature and volume will be directly proportional.

The precise description of how a gas expands as the temperature rises is provided by Charles' Law, also known as the law of volumes. On the other hand, if the temperature drops, the volume will also drop.

From the aforementioned statement, we can express how a substance compares when put under two different circumstances as follows:

V2/V1=T2/T1

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Complete question:

Define Charles' Law Calculator

The line which have a steeper slope is Line 1.

It is given in the question that the points on the line are given by:-

Line 1: (0,-4) and (2,2)

Line 2:(0,-4) and (4,5)

We have to find which line has a steeper slope.

First we will find the slope of each line.

We know that slope of a line with points (a,b) and (c,d) is given by:-

(d-b)/(c-a)

Slope of Line 1:

(2-(-4))/(2-0) = 6/2 = 3

Slope of Line 2:

(5-(-4))/(4-0) = 9/4 = 9/4 = 2.25

We know that greater the slope of the line means greater the steep of the line.

As,

3 > 2.25

Hence, Line 1 is steeper than Line 2.

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The rectangle with dimensions 21 m by 21 m has the largest area among rectangles with a perimeter of 84 m.

To find the dimensions of a rectangle with a perimeter of 84 m that maximizes the area, we need to use the properties of rectangles.

Let's assume the length of the rectangle is l and the width is w.

The perimeter of a rectangle is given by the formula: 2l + 2w = P, where P is the perimeter.

In this case, the perimeter is given as 84 m, so we can write the equation as: 2l + 2w = 84.

To maximize the area, we need to find the dimensions that satisfy this equation and give the largest possible value for the area. The area of a rectangle is given by the formula: A = lw.

Now we can solve the perimeter equation for l: 2l = 84 - 2w, which simplifies to l = 42 - w.

Substituting this expression for l into the area equation, we get: A = (42 - w)w.

To maximize the area, we can find the critical points by taking the derivative of the area equation with respect to w and setting it equal to zero:

dA/dw = 42 - 2w = 0.

Solving this equation, we find w = 21.

Substituting this value of w back into the equation l = 42 - w, we get l = 42 - 21 = 21.

Therefore, the dimensions of the rectangle that maximize the area are l = 21 m and w = 21 m.

In summary, the dimensions of the rectangle are 21 m by 21 m, so the answer is A. 21, 21.

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Answer:

5

Step-by-step explanation:

Since f(x) = y, the corresponding y value for the x value will be the answer. So the corresponding y value for the x value, 8, is 5.

The value of f(8) = 5

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We are given that the function are;

x -2 0 1 3 5 8

y 11 4 8 8 -4 5

Since f(x) = y, the corresponding y value for the x value

So ,the corresponding y value for the x value, 8, is 5.

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