Just the answer no explanation

We want to find the perimeter of the fifth square in the given sequence.

The perimeter of the fifth square is 1cm.

Let's see how to get that:

The perimeter of the first square is 16cm.

Remember that the perimeter of a square of side length S is:

P = 4*S

Then the side length of the first square is given by:

16cm = 4*S

16cm/4 = S = 4cm

Then she connects the midpoints of the sides to form another square (actually four equal squares).

The midpoint would be at half of the side length of the square, then the side length of the new squares is 4cm/2 = 2cm.

For the third square, the side length is divided by two again, to get 2cm/2 = 1cm

For the fourth square this happens again: 1cm/2 = 0.5cm

For the fift square this happens again: 0.5cm/2 = 0.25cm

Then we have a square of side length equal to 0.25cm, the perimeter will be:

p' = 4*0.25cm = 1cm

The perimeter of the fifth square is 1cm.

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Answer:

A

Step-by-step explanation:

both b and c would make the trapezoid be in the quadrant below not to the right

Answer:

f(x) = r - 5x + 10

f(-5)=r-5×-5+10=r+25+10=r+35

Answer:

cosA = AB/ AD = AC/BC is the correct one.

Answer:

x²-x-20

Step-by-step explanation:

Using Vieta's formula

x²-(sum of roots)x+(product of roots)=0

x²-(5+-4)x+(5×-4)=0

x²-x-20=0

Answer:

52.14

Step-by-step explanation:

do 365 divided by 7 because 7 days is a week

Martina used 16 pounds of type A coffee in her blend.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

Let's assume that Martina used x pounds of type A coffee in her blend. Since the blend used four times as many pounds of type B coffee as type A, the amount of type B coffee used would be 4x pounds.

The total cost of the blend is given as the sum of the cost of type A and type B coffee, so we can write:

Cost = Cost of type A + Cost of type B

= x* + 4x*

Simplifying the expression, we get:

Cost = ( + 4) x

We are given that the total cost of the blend is , so we can write:

( + 4) x =

Solving for x, we get:

x = / ( + 4)

Substituting the given values, we get:

x = / ( + 4)

= / ( + 4)

= / ( + 4)

Therefore, Martina used 16 pounds of type A coffee in her blend.

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Answer:

I think the answer you're looking for is 86400

Step-by-step explanation:

Answer:

I think its the last one because the problem is not air pollution related

-5 Stars

Answer

The answer is d) sewage being dumped in local rivers.

Step-by-step explanation:

That wouldn't be contributing to air pollution, it would be water pollution.

the integral to cylindrical coordinates, we need to express the given function and the limits in terms of cylindrical coordinates (ρ, θ, z). The cylindrical coordinates conversion is as follows:

x = ρcosθ,y = ρsinθ,

z = z.

The integral becomes ∫∫∫ (ρ²cos²θ + ρ²sin²θ - ρ² + 10ρ²cosθ) ρ dz dρ dθ.

:To convert the integral to cylindrical coordinates, we substitute the given Cartesian coordinates (x, y, z) with their corresponding cylindrical coordinates (ρ, θ, z). This conversion is achieved by using the relationships between Cartesian and cylindrical coordinates: x = ρcosθ, y = ρsinθ, and z = z.

The original integral is ∫∫∫ (-x² - y² + 5(2x)) dz dxdy. Substituting x and y with ρcosθ and ρsinθ, respectively, gives us ∫∫∫ (ρ²cos²θ + ρ²sin²θ - ρ² + 10ρ²cosθ) ρ dz dρ dθ.

Please note that the explanation provided above is for the conversion to cylindrical coordinates. Evaluating the integral requires additional information about the limits of integration, which are not provided in the given question.

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Answer:

the number of visitors purchased guide books is 330 visitors

Step-by-step explanation:

The computation of the number of visitors purchased guide books is shown below;

= Number of visitors × visitors purchased guide books

= 550 × 3 ÷ 5

= 330

Hence, the number of visitors purchased guide books is 330 visitors

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

\(r=a_2-a_1\)

\(r=-12-(-8)\)

\(r=-12+8\)

\(r=-4\)

The nth term of an AP is

\(a_n=a+(n-1)d\)

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

\(a_n=-8+(n-1)(-4)\)

\(a_n=-8-4n+4\)

\(a_n=-4-4n\)

Putting n=52, we get

\(a_{52}=-4-4(52)\)

\(a_{52}=-4-208\)

\(a_{52}=-212\)

Therefore, the equation for the nth term of the given sequence is \(a_n=-4-4n\) and the 52nd term of the sequence is -212.

The transformation of the function\(Y = X^4 / (6X + 6)\) can be described as follows:

The function has a domain of all real numbers except X = -1.

The range of the function is all non-negative real numbers.

The function is not symmetric about the y-axis.

It has a Y-intercept at (0, 0).

It does not have any X-intercepts.

The function approaches 0 as X approaches positive or negative infinity.

To describe the transformation of the function \(Y = X^4 / (6X + 6)\), we can analyze its characteristics, such as the domain, range, symmetry, intercepts, and behavior as X approaches positive and negative infinity.

1. Domain:

The function is defined for all real values of X except when the denominator 6X + 6 equals zero. Solving for X gives X = -1. Therefore, the domain of the function is all real numbers except X = -1.

2. Range:

Since the numerator is X^4, which is always non-negative, and the denominator 6X + 6 is always positive (except at X = -1), the range of the function is all non-negative real numbers (including zero).

3. Symmetry:

To determine if the function has any symmetry, we check if replacing X with -X results in an equivalent function. Substituting -X for X in the original function gives Y = (-X)^4 / (6(-X) + 6), which simplifies to Y = X^4 / (-6X + 6). Since the function does not remain unchanged under this substitution, it is not symmetric about the y-axis.

4. Intercepts:

a. Y-intercept: To find the Y-intercept, we set X = 0. Plugging in X = 0 into the function gives Y = 0^4 / (6(0) + 6) = 0 / 6 = 0. Therefore, the Y-intercept is at the point (0, 0).

b. X-intercept: To find the X-intercept, we set Y = 0 and solve for X. However, since the numerator X^4 is always non-negative, the function does not have any X-intercepts.

5. Behavior as X approaches infinity:

As X becomes large positive or negative, the 6X term dominates the 6X + 6 denominator. Therefore, the function approaches 0 as X approaches positive or negative infinity.

In summary, the transformation of the function can be described as follows:

- The function has a domain of all real numbers except X = -1.

- The range of the function is all non-negative real numbers.

- The function is not symmetric about the y-axis.

- It has a Y-intercept at (0, 0).

- It does not have any X-intercepts.

- The function approaches 0 as X approaches positive or negative infinity.

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If Earle Bailey has 20 songs to choose from but can play only 7 in the next half‑hour, then there are 77520 possible playlists.

The given data is as follows:

Total number of songs = 20

Number of songs in the playlist  = 7

So, it is given that we need to select 7 songs out of 20. This can be done using combinations.

Decimal notation is another appropriate way to describe fractional values in the calculation. This implies that base 10 is being used for the fractional indication. Both fractions and decimals can be altered.

The dissimilarity is that fractions and decimals are registered using different notations. We can visually determine how considerably of a full number we are operating to decimal notation.

Let us assume that n = 20 and r= 7

C( n, r ) = ?

C( n, r ) = C (20 , 7)

C( n, r ) = 20! / ( 7! (20-7)!)

C( n, r )  =  20! / ( 7! × 13! )

C( n, r )  = 77520

Therefore we can conclude that there are 77520 possible playlists.

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The graph shown by the image is a cosine graph.

Sine and cosine graphs look essentially the same barring a little difference in their shapes.

A sine graph usually starts at zero, rises to a peak value, descends to a minimum value, and then returns to zero. This pattern repeats itself as the graph continues in both positive and negative directions along the x-axis.

A cosine graph, on the other hand, starts at its peak value, descends to a minimum value, rises back to its peak, and then returns to the minimum value before starting the pattern again. This pattern repeats itself indefinitely.

Thus, the graph shown is that of a cosine graph.

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Answer:  

Step-by-step explanation:

≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)

So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC

{ΔABC≅ΔDEF  and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO

And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC

{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg according to given standard deviation.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = x- υ/σ

Given that μ = 55, σ = 6;

For x = 49:

z = 49 - 55/6

z = -1

If the dog has a z-score of -1.09, his weight is:

-1.09 = x -55/6

x - 55 = -6.54

x = 48.46

If the dog has a z-score of 1.09, his weight is:

1.09 = x - 55/6

x -55 = 6.54

x = 61.54

Hence ,If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg

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Answer:

Step-by-step explanation:

The the terms be x and y

The sum of the terms = x+y

Difference of terms = x-y

Product of the sun and differences will be expressed as:

(x-y)(x+y) = x²-xy+xy-y²

(x-y)(x+y) = x²-y²

Hence the product of the terms is equivalent to the difference of two squares of the terms

Answer:

The answer would be 2x-3

Probability of receiving a hand with exactly three suits \(= (4 * (13^3)) / 2,598,960\)

What is Combinatorics?

Combinatorics is a branch of mathematics that deals with counting, arranging, and organizing objects or elements. It involves the study of combinations, permutations, and other related concepts. Combinatorics is used to solve problems related to counting the number of possible outcomes or arrangements in various scenarios, such as selecting items from a set, arranging objects in a specific order, or forming groups with specific properties. It has applications in various fields, including probability, statistics, computer science, and optimization.

To calculate the probability of receiving a hand with exactly three suits when dealt 5 cards from a well-shuffled deck of cards, we can use combinatorial principles.

There are a total of 4 suits in a standard deck of cards: hearts, diamonds, clubs, and spades. We need to calculate the probability of having exactly three of these suits in a 5-card hand.

First, let's calculate the number of favorable outcomes, which is the number of ways to choose 3 out of 4 suits and then select one card from each of these suits.

Number of ways to choose 3 suits out of 4: C(4, 3) = 4

Number of ways to choose 1 card from each of the 3 suits\(: C(13, 1) * C(13, 1) * C(13, 1) = 13^3\)

Therefore, the number of favorable outcomes is \(4 * (13^3).\)

Next, let's calculate the number of possible outcomes, which is the total number of 5-card hands that can be dealt from the deck of 52 cards:

Number of possible outcomes: C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960

Finally, we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:

Probability of receiving a hand with exactly three suits =\((4 * (13^3)) / 2,598,960\)

This value can be simplified and expressed as a decimal or a percentage depending on the desired format.

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Center of circle is ( 1, 0).

Slope of normal passing though ( 1, 0 ) and ( 2, -5 ) is :

\(m_p=\dfrac{0-(-5)}{1-2}\\\\m_p=-5\)

So, slope of tangent will be :

\(m_t=-\dfrac{1}{m_n}\\\\m_t=\dfrac{1}{5}\)

Equation of tangent :

\(y-(-5)=\dfrac{1}{5}(x-2)\\\\5y+25=x-2\\\\5y-x+27=0\)

Hence, this is the required solution.

Answer:

Step-by-step explanation:

When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"

Group together two terms, watch out for the negative signs!

x^3 + 2x^2-5x-10=0

(x^3 + 2x^2) - (5x+10)=0

Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.

x^2(x+2)-5(x+2)=0

Now you can factor out that (x+2) because it is both terms.

x^2(x + 2) - 5(x + 2)=0

~~~~ ~~~~

Pull these out.

What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)

(x + 2)(x^2 - 5) = 0

If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.

x = -2 and x = +- sqrt5

Answer:

\(<174\frac{4}{9}\) hopes this helps :D

Step-by-step explanation:

The solution is s > 174 4/9

The inequality equation is s > 174 4/9 and it will take 174 4/9 seconds for the hot air balloon to reach below 215 feet

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is given by

Let the total altitude of the hot air balloon be = 1000 feet

Now , the hot air to reach below 215 feet , the hot air balloon should descend a total of = 1000 - 215 feet

So , the value of hot air balloon should descend = 785 feet

And ,

The rate at which the hot air balloon descends = 4 1/2 feet per seconds

So , the number of seconds s for the hot air balloon to reach an altitude more than 785 feet is given by the inequality equation A

where ( 4 1/2 ) x s > 785

On simplifying the equation , we get

( 4 1/2 )s > 785

( 9/2 ) s > 785

Multiply by 2 on both sides of the equation , we get

9s > 1570

Divide by 9 on both sides of the equation , we get

s > 174 4/9

Therefore , the value of A is s > 174 4/9

Hence ,

The inequality equation is s > 174 4/9 where s is the number of seconds

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Answer:

B 1/2

Step-by-step explanation:

I looked it up.

But I think it'd be C because there would be 4 aces in the deck, and C has 1/4

Answer: 1/13 is the correct answer.

Step-by-step explanation: You put the total amount of aces, which is four, on the top part of your fraction and the total number of 52 cards on the bottom of your fraction. Since four will divide into both numbers, you simplify 4/52 to get 1/13. 4 divided by four is one. 52 divided by 4 is 13. That is how you get your 1/13 from 4/52. Answer was confirmed correct on the test I took. I hope this helps you! Thanks!

If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

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