What is the argument of -5\sqrt{3}+ 5i?

Answer:

it is undefined because the denominator of the rational expression is zero and it is also not a rational expression

The shaded area = The big square area - small square area

square area = side²

(x+4)² - 4

= x² + 8x +16 - 4

= x² +8x +12

The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

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Answer:

Length = 6.49 cm

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Since we're already given the area and width and want to find the length, we can first rewrite the area formula in terms of l:

A/w = l

Now, we can plug in 25.311 for A and 3.9 for w to solve for l, the length:

25.311 / 3.9 = l

6.49 cm = l

We can check that 6.49 is the correct length by plugging everything into the regular area formula and checking that we get 25.311:

25.311 = 6.49 * 3.9

25.311 = 25.311

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes

given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40

Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

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Answer:

Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.

Step-by-step explanation:

What does the term probability mean?

Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event

Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey

Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.

Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.

The vector field J.F.ds for the unit sphere is equal to 4π, which is the volume of the sphere. This is calculated using the divergence theorem, which relates the flux of a vector field over a surface to the divergence of the vector field through the interior of the surface.

The vector field J.F.ds is a measure of the volume of the unit sphere, which is equal to 4π. To calculate this, we use the divergence theorem, which states that the flux of a vector field over a closed surface can be related to the divergence of the vector field through the interior of the surface. Thus, the calculation of the vector field J.F.ds is given by the following equation: ∫∫s J.F.ds = ∫∫V ∇.F dV, where V is the volume of the unit sphere. Plugging in the vector field F and the unit sphere, we get: ∫∫s (x, y, z).(x, y, z) ds = ∫∫V ∇.(x, y, z).(x, y, z) dV = ∫∫V 3 dV = 4π. So the vector field J.F.ds of the unit sphere is equal to 4π.

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ANSWER:

B. For every 1-inch increase in height, walking speed increases by 4.9 m/min

STEP-BY-STEP EXPLANATION:

We have the following expression:

4.9 is the slope of the function, that is, it is the increase in y (walking speed) given by a unit in x (height).

This means that for every 1 inch that the walking speed increases, it increases by 4.9 units.

Therefore, the correct answer is B. For every 1-inch increase in height, walking speed increases by 4.9 m/min

The actual dimensions of Abigail's house are 18 ft by 20 ft.

Abigail's house is represented by a scale drawing with dimensions of 9 cm by 10 cm. We are told that 6 cm on the scale drawing equals 12 ft. To find the actual dimensions of Abigail's house, we need to determine the scale factor.

First, we calculate the scale factor by dividing the actual length (12 ft) by the corresponding length on the scale drawing (6 cm). The scale factor is 12 ft / 6 cm = 2 ft/cm.

Next, we can use the scale factor to find the actual dimensions of Abigail's house. We multiply each dimension on the scale drawing by the scale factor.

The actual length of Abigail's house is 9 cm * 2 ft/cm = 18 ft.
The actual width of Abigail's house is 10 cm * 2 ft/cm = 20 ft.

Therefore, the actual dimensions of Abigail's house are 18 ft by 20 ft.

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It is 9 degrees by midday

Answer:

11 degrees

Step-by-step explanation:

-4 degrees plus 13 degrees equals 11 degrees

The laws of exponents are a set of rules that govern the manipulation of exponential expressions, which involve a base number raised to a certain power, represented by an exponent.

The first law of exponents states that when you multiply two exponential expressions with the same base, you add the exponents. For example, if you have the expression a^m * a^n, you can simplify it to a^(m+n). This is because a^m * a^n = a^m * a^n = a^(m+n)

The second law of exponents states that when you divide two exponential expressions with the same base, you subtract the exponents. For example, if you have the expression a^m / a^n, you can simplify it to a^(m-n). This is because a^m / a^n = a^m / a^n = a^(m-n)

The third law of exponents states that when you raise an exponential expression to a power, you multiply the exponent by the power. For example, if you have the expression (a^m)^n, you can simplify it to a^(mn). This is because (a^m)^n = a^(mn)

The fourth law of exponents states that when you have a base with a negative exponent, you can express it as the reciprocal of the base with a positive exponent. For example, a^(-n) = 1/a^n.

It's also important to note that when you have a number raised to the power of 0, the result will be 1, regardless of the base.

In summary, the laws of exponents allow us to manipulate exponential expressions in a more efficient and accurate way. They provide a set of rules to simplify and solve mathematical expressions that involve exponents, making it easier for us to work with these types of problems.

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Answer

Sum of the first 13 terms = 8191

Explanation

The sum of terms in a geometric term is given as

where

a = first term = 1

r = common ratio = ratio of consecutive terms = (Second term)/(First term) = (2/1) = 2

n = number of terms = 13

Hope this Helps!!!

Answer:

the answer is graph 1

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

you have to devide the total amount they paid with the number of books.. 2550÷85=30

The triangles are similar by AA similarity

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔXYZ

For the triangles to be congruent ,

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Now , the measure of angle ∠ABC = measure of angle ∠XYZ ( given )

And , the measure of angle ∠BAC = measure of angle ∠YXZ ( given )

Now , the two angles of the triangles are equal and congruent

So , Two angles are the same ( by AA similarity )

And , the triangles are similar by the AA similarity of triangles

Hence , they are similar triangles

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The trigonometric ratios for this problem are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

Considering the height segment, the ratios for this problem are given as follows:

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Given that the study was conducted using a sample of 513 bolts produced at a single facility when there is no bias resulting from data gathering procedures, broad inferences may then be drawn.

All bolts manufactured by that factory would be covered by the conclusion?

Due to the fact that bolts made in the same factory will follow the results of an analysis of a sample made up of bolts from the same factory. The finding or conclusion would therefore be applicable to all bolts produced in the same factory because the environment for experimentation and production is the same there while it may differ in other factories. Conclusions from the study may not apply to the bolts made by other companies as a result of this bias.

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Answer:

52

Step-by-step explanation:

{[3(29)]+35-30} -40

{(87)+35-30}-40

(87+35-30)-40

(92)-40

92-40

=52

Answer:

the first step is to change the mixed fraction into an improper fraction so 4 and 1/5 will be 21/5 so then you question will be three times 21/5 and the answer is 12 and 3/5

The graph shows the  inequality x² ≤ 16

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

Inequalities are often used to describe conditions or constraints in real-world problems.

You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:

x² ≤ 16

x ≤ ±√16

x ≤ ±4

x ≤ -4 or x ≤ 4

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Answer:

its 5,1

Step-by-step explanation:

just took the test

Answer:

The answer is C. y = -4 - 1

Answer:

f(1) = 45

f(n) = f(n-1)*(4/5)

Step-by-step explanation:

f(1)

= 45(4/5)^(1-1)

= 45(4/5)^(0)          use law of exponents

= 45*1

= 45

f(1) = 45

f(n) = f(n-1)*(4/5)

\(\large\bf\blue{ \diamond} \rm \: \: m \: - \: 8 \: = \: - 14 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 14 \: + \: 8 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 6\)

Answer:

the equation has infinitely amny solutions

a. This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).

b. This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).

c. This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).

a. The mathematical relationship or model that shows ending inventory as a function of beginning inventory, production, and demand can be represented as:

sj = sj-1 + xj - dj

This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).

b. If the production capacity for period j is given by Cj, the constraint that should be added is:

xj ≤ Cj

This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).

c. If inventory requirements for period j mandate an ending inventory of at least Ij, the constraint that should be added is:

sj ≥ Ij

This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).

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The given equation is equivalent to the system

\(\begin{cases}y = 17x-8\\y = 3x+16\end{cases}\)

The linear equations have different slopes (m = 17 and m = 3), so that means the two lines intersect at exactly one location. This one intersection point means there is exactly one solution to the system.

That means there is exactly one solution to the equation 17x-8 = 3x+16

----------------

That solution is....

17x-8 = 3x+16

17x-3x = 16+8

14x = 24

x = 24/14

x = 12/7

Answer:

volume of square based prism = a²h

therefore

150 in³ = x²y

y = 1.5x

150 = 1.5x³

100 = x³

x = ³√100 ≈ 4.64 in

y = 1.5x ≈ 6.96 in

On soloing the provided question, we can say that an equation from the graphs for the function. 3x + 13.5y = 4.5 and x+1.5y = 2

Mathematicians use graphs to logically represent or chart facts or values. Typically, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, or vertices, and edges. The nodes, also known as vertices, should be joined with glue. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 4, and 2.5. (3.5). (4.5). Graphical depictions of exponential growth in statistical charts (bar charts, pie charts, line charts, etc.). triangle-shaped logarithmic graph.

an equation for the function.

3x + 13.5y = 4.5

and x+1.5y = 2

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For the rational function r(x) = (x+1)(x-3)/(x+3)(x-7), the x-intercepts are found by setting the numerator equal to zero and solving for x:

(x + 1)(x - 3) = 0

This gives x=-1 and x=3 as the x-intercepts.

For the same function, the vertical asymptotes are found by setting the denominator equal to zero and solving for x:

(x + 3)(x - 7) = 0

This gives x=-3 and x=7 as the vertical asymptotes.

For the rational function r(x) = (x+1)(x-3)/(x+3)(x-6), the vertical asymptotes are found by setting the denominator equal to zero and solving for x:

(x + 3)(x - 6) = 0

This gives x=-3 and x=6 as the vertical asymptotes.

For the same function, there are no x-intercepts.

For the rational function r(x) = (x+1)(x-3)/(x+3)(x-4), the horizontal asymptote can be found by looking at the degrees of the numerator and denominator. Since the degree of the numerator is 2 and the degree of the denominator is 2, the horizontal asymptote is given by the ratio of the leading coefficients, which is 1/1=1. Therefore, the horizontal asymptote is y=1.

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