A number and its additive inverse, or opposite are considered what

Answer:

+33

Step-by-step explanation:

hope it helps!!!!!!!!!!!!!!

Answer:

7x+9

Step-by-step explanation:

Because 6+3=9-2=7 and 5+4=9

Answer:

I'm sure it is 7.02!

Step-by-step explanation:

The taller mountain bike frame should be 3.4cm taller.

The equation that can be used to determine the ideal height of the mountain bike frame is:

Mountain bike frame : (2/3 x length of the bike rider's leg) - 10

Mountain bike frame when leg length is 80cm: (2/3 x 80) - 10 =53.3 - 10 = 43.3 cm

Mountain bike frame when leg length is 85cm: (2/3 x 85) - 10 = 56.7 - 10 = 46.7cm

Difference in mountain bike frame :46.7 cm - 43.3 cm = 3.4cm

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

#SPJ1

Answer:

31. 5v - 4

32. 9 + n

33. n - 1

34. c + 10

35. 2x

35². 24 - 6

36. 3s

37. 3x + 6

38. v / m + 18 (i think?)

39. x - ab

Step-by-step explanation:

hope this helps + is correct

Given,

The expression is,

As the line of the equation is shaded has

The shaded part is above the line,

So,

Hence, the inequality is -5x+2y>-4.

The exponential growth rate is obtained as 0.1099.

Now we know that an exponential function has to do with an exponential increase or decrease. An exponential function could increase or decrease and this means that the constant of the function could be a decay constant or a growth constant.

When we have an exponential function, we have to apply the general formula; P(t) = P(o)e^rt

Po = initial number

P(t) = number at time t

r = rate of growth

t = time taken

Thus;

270=90e^10r

270/90 = e^10r

3 = e^10r

ln3 = 10r

r = ln3/10

r = 0.1099

After 13 hours;

P(t) = 90e^(0.1099 * 13)

P(t) = 376

Learn more about exponential growth:https://brainly.com/question/11487261

#SPJ1

Answer:

A. same point.

b. in center

c. triangle centroid

d. single point

Answer:

The solution is \(z = -2.853 - i 0.927\).

Step-by-step explanation:

Complex power is determined by means of the De Moivre's Theorem, whose expression is:

\(z^{n} = r^{n} \cdot (\cos n\theta + i \sin n\theta)\)

Where \(r\) is the norm of the complex number. In this case, expression can be written as:

\(-i 243 = 3^{5} \cdot (\cos 5\theta + i \sin 5\theta)\)

The real component must be equal to zero and complex component must be equal to -1. That is to say:

\(\cos 5\theta = 0\)

\(\sin 5\theta = -1\)

Possible solutions for each component are, respectively:

Real component

\(5\theta = \cos^{-1}0\)

\(5\theta = \frac{\pi}{2} \pm \pi\cdot j\), \(\forall j \in \mathbb{N}_{O}\)

\(\theta = \frac{\pi}{10} \pm \frac{\pi}{5} \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

Possible solutions: \(\frac{11\pi}{10}\), \(\frac{13\pi}{10}\), \(\frac{3\pi}{2}\)

Complex component

\(5\theta = \sin^{-1}(-1)\)

\(5\theta = \frac{3\pi}{2} \pm 2\pi \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

\(\theta = \frac{3\pi}{10} \pm \frac{2\pi}{5} \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

Possible solutions: \(\frac{11\pi}{10}\), \(\frac{3\pi}{2}\)

There is one solution whose argument is strictly between 180 degrees (\(\pi\)) and 270 degrees (\(1.5\pi\)).

\(z = 3 \cdot \left( \cos \frac{11\pi}{10} + i \sin \frac{11\pi}{10} \right)\)

\(z = -2.853 - i 0.927\)

Answer:

i think the answer would be B i think if its wrong i am sorry

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

4x-7y=37 (1)

2x+7y=-13 (2)

(1)+(2)

6x=24

6x=24 (divide both sides by 6)

x = 4

Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.

In the question, it is stated that if Elan stays up late, he will be tired the next day.

However, staying up late is not the only thing that could make Elan get tired.

This implies that there are so many other things than can make Elan get tired such as working for long hours.

It is possible that Elan was tired because Elans worked long hours.

By implication, the conclusion is invalid.

Learn more about the conclusion here: https://brainly.com/question/15292067.

#SPJ1

The area of the village green is 3552 square meters.

What is area ?

Area is a measure of the size or extent of a two-dimensional surface. It is the amount of space inside a closed figure or shape, and is typically measured in square units such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on.

To calculate the area of the village green, we can use Heron's formula which is given as:

\(Area of triangle = \sqrt{(s(s-a)(s-b)(s-c))}\)

where s is the semi - perimeter (half the perimeter) of the triangle, and a, b, and c are the lengths of its sides.

The semi - perimeter of the triangle can be calculated as:

s = (AB + BC + AC)/2

s = (92 + 75 + 105)/2

s = 136

Using this value of s, we can calculate the area of the triangle as:

Area of triangle = \(\sqrt{(136(136-92)(136-75)(136-105))}\)

Area of triangle = \(\sqrt{(136(44)(61)(31))}\)

Area of triangle = \(\sqrt{(12655264)}\)

Area of triangle = 3552

Therefore, the area of the village green is 3552 square meters.

To learn more about Area from given link.

https://brainly.com/question/27683633

#SPJ1

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

Answer: 2.204

Step-by-step explanation:

The wheel does 1,184 revolutions in the 1700 meters.

To find the number of revolutions we need to take the quotient between the distance and the circumference of the wheel.

The circumference of a circle of diameter D is:

C = 3.14*D

So here we have:

C = 3.14*18in = 56.52 in

And we know that:

1 meter ≈ 39.3701 inches

Then the circumference in meters is:

C = 56.52/39.3701 m = 1.435m

The number of revolutions is:

1700m/1.435m = 1,184

That is the correct answer.

Learn more about revolutions at:

https://brainly.com/question/16533738

#SPJ1

Answer:

Step-by-step explanation:

First find the circumference:

π × 18 = 3.14 × 18 = 56.52"

56.52÷ 39.3701 inches in one meter = 1.4356 meters for the circumference.

Divide 1700 meters by 39.3701 = 1184.173

round to 1184 revolutions

The value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths is 13.11.

In algebra, we often deal with equations with unknown values ​​represented by variables. To solve such an equation, we need to find the values ​​of the variables.

A one-step equation is an algebraic equation that can be solved in just one step. Solve it and you've found the values ​​of the variables that make the equation true. To solve a one-step equation, perform the inverse (reverse) of the operation performed on the variable to get the variable itself.

For the given case, the  equation can be written as follows:

\(\frac{x}{5\frac{7}{10} }\) = \(2\frac{3}{10}\)

x = \(5\frac{7}{10}\) × \(2\frac{3}{10}\)

x = 5.7 × 2.3

x = 13.11

To know more about algebraic equation visit:

https://brainly.com/question/24875240

#SPJ4

The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

Learn more about Limit definition of a derivative:-

https://brainly.com/question/30402318

#SPJ4

Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

To learn more about compound interest from the given link

brainly.com/question/28020457

#SPJ1

True, when nesting loops, the inner loop must be completely contained within the outer loop and must use a different control variable.

When nesting loops, one loop is placed inside another loop. The purpose of nesting loops is to execute a set of instructions repeatedly in a structured manner. In this context, the statement is true: the inner loop must be entirely contained within the outer loop, and a different control variable must be used for each loop.

By containing the inner loop within the outer loop, we ensure that the inner loop executes its iterations every time the outer loop iterates. This nested structure allows for more complex and detailed looping patterns.

Using different control variables for the inner and outer loops is necessary to maintain independent control over their iterations. Each loop should have its own variable to track and control its progress. This distinction is crucial in preventing conflicts and ensuring that the loops function as intended.

Therefore, when nesting loops, it is essential to follow these guidelines: the inner loop must be entirely contained within the outer loop, and a distinct control variable should be used for each loop to ensure proper execution and avoid potential errors.

Learn more about nested loops here:

https://brainly.com/question/31921749

#SPJ11

The equation of the tangent plane to the surface z = x^2 + 5y^3 at the point (1, 1, 6) is z = 2x + 15y - 11.

The equation of the tangent plane to the surface z = x^2 + 5y^3 at the point (1, 1, 6) is given by z - z0 = fx(x0, y0)(x - x0) + fy(x0, y0)(y - y0), where fx and fy are the partial derivatives of z with respect to x and y, evaluated at (x0, y0).

The partial derivative of z with respect to x, fx, is 2x, and the partial derivative with respect to y, fy, is 15y^2. Evaluating these derivatives at (1, 1), we get fx(1, 1) = 2 and fy(1, 1) = 15.

Substituting the given values into the equation of the tangent plane, we have z - 6 = 2(x - 1) + 15(y - 1).

Simplifying this equation gives the equation of the tangent plane as z = 2x + 15y - 11.

Therefore, the equation of the tangent plane to the surface z = x^2 + 5y^3 at the point (1, 1, 6) is z = 2x + 15y - 11.

To learn more about equation click here, brainly.com/question/29657983

#SPJ11

Step-by-step explanation:

the average rate of change is

(h(interval end) - h(interval begin)) /

(interval end - interval begin)

in our case this is

(h(8) - h(-1)) / (8 - -1) = (108 - 9) / 9 = 99/9 = 11/1 = 11

The position of the given term is mathematically given as

n = 24

This is further explained below.

A function that goes from one set to another gives each element of the first set precisely one element of the second set.

This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.

Generally, the equation for Function the is mathematically given as

f(n) = 2.5 n - 16

Considering that the total is 52, we need to locate the letter "n." (position). Now let's get the answer for "n":

52=(2n-2)+2

52=2n-2+2

52 = 2n-4

n = (52-4)/2

n = 24

In conclusion, the position of the given term.

n = 24

Read more about Function

https://brainly.com/question/12431044

#SPJ1

Answer:

r=7/5

Step-by-step explanation:

An equation for Windy Kite's total cost, y, in terms of the number of kites purchased, x, is y = 2x + 20.

An equation for Kites-R-Fun's total cost, y, in terms of the number of kites purchased, x, is y = 4x + 8.

Based on the table, if the Alaskan customer wants to buy 4 kites, Kites-R-Fun charges the least.

If the Alaskan customer wants to buy 10 kites, Windy kites charges the least.

The solution to the system of equations is (6, 32).

The meaning of the solution is that 6 kites would cost a total of $32 at both Windy kites and Kites-R-Fun.

In order to write a linear equation to describe this situation, we would a assign variable to the number of kites purchased and the total cost respectively, and then translate the word problem into a linear equation as follows:

Since Wendy charges $2 per kite and a flat rate of $20 for shipping, a linear equation that models the total cost is given by:

y = 2x + 20

When x = 4, the total cost for Windy kites is given by:

y = 2(4) + 20

y = $28.

When x = 7, the total cost for Windy kites is given by:

y = 2(7) + 20

y = $34.

When x = 10, the total cost for Windy kites is given by:

y = 2(10) + 20

y = $40.

For Kites-R-Fun, a linear equation that models the total cost is given by:

y = 4x + 8

When x = 4, the total cost for Kites-R-Fun is given by:

y = 4(4) + 8

y = $24.

When x = 7, the total cost for Kites-R-Fun is given by:

y = 4(7) + 8

y = $36.

When x = 10, the total cost for Kites-R-Fun is given by:

y = 4(10) + 8

y = $48.

Lastly, we would use an online graphing calculator to plot the system of linear equations as shown in the graph attached below.

Read more on equation here: brainly.com/question/19855458

#SPJ1

Answer:

h_max = 12.56 units

(the exercise does no specify the units)

Step-by-step explanation:

You have the following function:

\(h(t)=-16t^2+6t+12\)    (1)

To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:

\(\frac{dh(t)}{dt}=-32t+6\)

Next, you equal the result of the derivative to zero and you obtain t:

\(-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}\)

Then, you replace this value of t in the equation (1) and you obtain the maximum height:

\(h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12\)

\(h(t)=12.56\)

hence, the maximum height is 12.56 units

The width[Dimension] of the cereal box is approximately 8 cm.

To find the width of the cereal box, we can use the formula for the volume of a rectangular box:

Volume = Length × Width × Height

Given that the volume of the cereal box is 13,440 cm³, the length is 40 cm, and the height is 42 cm,

we can rearrange the formula to solve for the width:

Width = Volume / (Length × Height)

Width = 13,440 cm³ / (40 cm × 42 cm)

          = 8 cm

Learn more about Dimensions  here:

brainly.com/question/30309491

#SPJ11

Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

For more questions like Data click the link below:

https://brainly.com/question/10980404

#SPJ11