Label the illustrations based on the Gestalt principles of grouping:
a. closure
b. proximity
c. continuity
d. illusory contours
e. similarity

Total 36 storage locations are allocated by the statement declare [tex]a[4,9][/tex] as integer.

The statement declare [tex]A[4,9][/tex] as integer allocates 4 × 9 = 36 storage locations for the array A. Each storage location is capable of holding a single integer value.

In this statement, the array A is declared with two dimensions, 4 and 9. The first dimension, 4, represents the number of rows in the array, and the second dimension, 9, represents the number of columns. This means that the array A has a total of 4 rows and 9 columns, for a total of 4 × 9 = 36 storage locations.

Here's an example of how the array A might be structured in memory:[tex]A[0,0] \ A[0,1] \ A[0,2] \ A[0,3] \ A[0,4] \ A[0,5] \ A[0,6] \ A[0,7] \ A[0,8]\\A[1,0] \ A[1,1] \ A[1,2] \ A[1,3] \ A[1,4] \ A[1,5] \ A[1,6] \ A[1,7] \ A[1,8]\\A[2,0] \ A[2,1] \ A[2,2] \ A[2,3] \ A[2,4] \ A[2,5] \ A[2,6]\ A[2,7] \ A[2,8]\\A[3,0] \ A[3,1] \ A[3,2] \ A[3,3] \ A[3,4] \ A[3,5] \ A[3,6] \ A[3,7] \ A[3,8][/tex]

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The polynomial 25x² + 36y²  is the sum of the squares.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, 25x² + 36y² which can be written as,

= 5²x² + 6²y².

= (5x)² + (6y)² it is the sum of the squares, The difference of squares would be (5x)² - (6y)².

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Answer:

book (Y) = 2

magazine (X) = 4

Step-by-step explanation:

4x + Y = 24

y = 2x

cos(pi) and cos(-pi) are both equal to -1 because cos is an even function.

For an even function, f(x) = f(-x). Even functions are symmetric about the y-axis.

Symmetricity about y-axis means that for same magnitude of x (like -2 and 2 have the same magnitude that is 2) the value of y will be the same.

Hence, in the case of cos(x), if we give any value as x and then give -x we will get the same result like cos(0.5pi) = cos(-0.5pi)

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The ending balance is $1032.5.

What is simple interest?

Simple interest is an interest rate that is solely calculated on the principal amount or the portion of the principal that is still owed. It does not take compounding into account. Simple interest may be used on a schedule other than annually, such as every month, week, or even every day.

Here, we have

Given: P = $2,500, r = 5.9%, t = 7 years

Convert 5.9% to a decimal

5.9% = 5.9 ÷ 100

 = 0.059

Substitute the values into the simple interest formula,

I = Prt   and we get

I = Prt

= 2500 × 0.059 × 7

= $1032.5

Hence, the ending balance is $1032.5.

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Answer:

m =  10/7

Step-by-step explanation:

8/7 + 2/7 =m

10/7 = m

Answer:  m = 6/7

Step-by-step explanation:

Answer:

-2,0

very simple it is so easy

Answer:

these are the prime factors of 84

26 points are scored in the fifth game.

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

First four games, a netball team scores an average of 31 points per game.

x/4=31

Let x represents four games

x=124

After the fifth game, the average for the first five games is 30

y/5=30

Let y represents five games

y=150

We need to find the number of points scored in fifth game.

x-y

124-150

26

Hence, 26 points are scored in the fifth game.

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Monomial has a degree of 4 in linear equation.

What in mathematics is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. with m the slope and b the y-intercept as the single constant and a first-order (linear) term.

                       Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Let's define some of the vocabulary words so we can understand what is being asked.

trinomial: 3 terms   → each term is separated by a plus or minus sign

                              Example: 5x² + 3x + 2

monomial: 1 term   →  no plus or minus sign exists in the term.

                              Example: 5x²

degree: the largest exponent → it can be in any of the terms.

                              Example: 5x² has a degree of 2

It is possible that a monomial has an exponent greater than that of a trinomial so the answer is NO!

trinomial:   5x² + 3x + 2      has a degree of 2

monomial: 5x⁴                    has a degree of 4

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Answer:

[tex]y = \frac{1}{10}x[/tex]

Step-by-step explanation:

⭐ What is slope-intercept form?

First, we need to find the value of "m" using the slope formula.

⭐ What is the slope formula?

Substitute the two coordinates you are given into the slope formula.

[tex]m = \frac{1-2}{10-20}[/tex]

[tex]m = \frac{-1}{-10}[/tex]

[tex]m = \frac{1}{10}[/tex]

Substitute the value of "m" into the slope-intercept form equation.

[tex]y = \frac{1}{10}x + b[/tex]

Next, we need to find the value of "b". To do so, substitute a coordinate that you are given into the equation and solve for "b".

I am going to use (10,1), but you can also use (20,2).

[tex]1 = \frac{1}{10} (10) + b[/tex]

[tex]1 = 1 + b[/tex]

[tex]0 = b[/tex]

Substitute the value of "b" into the slope-intercept form equation.

[tex]y = \frac{1}{10}x[/tex]

Answer:

option c

Step-by-step explanation:

Answer:

[tex]\textsf{b)} \quad \dfrac{(y+3)^2}{25}-\dfrac{(x-1)^2}{15}=1[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Standard equation of vertical hyperbola}\\\\$\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center. \\ \phantom{ww}$\bullet$ $(h, k\pm a)$ are the vertices. \\\phantom{ww}$\bullet$ $(h\pm b, k)$ are the co-vertices. \\\phantom{ww}$\bullet$ $(h, k\pm c)$ are the foci where $c^2=a^2-b^2$.\\\end{minipage}}[/tex]

Given:

As the x-values of the given center, vertex and focus are the same, the hyperbola is vertical (opening up and down).

Given the center is (1, -3):

Use the vertices formula (h, k±a) to find a:

[tex]\begin{aligned} (h, k \pm a) = (1, -3 \pm a) &= (1, 2)\\\implies -3 \pm a &= 2\\a &= 5\end{aligned}[/tex]

Use the foci formula (h, k±c) to find c:

[tex]\begin{aligned} (h, k \pm c) = (1, -3 \pm c)&=(1, -3 \pm 2\sqrt{10})\\c &= 2 \sqrt{10}\end{aligned}[/tex]

Use the found values of a and c with Pythagoras Theorem to find b²:

[tex]\begin{aligned}c^2 &=a^2+b^2\\\implies (2 \sqrt{10})^2&=5^2+b^2\\40&=25+b^2\\b^2&=15\end{aligned}[/tex]

Therefore:

Substitute the found values into the hyperbola formula to create an equation of the hyperbola with the given parameters:

[tex]\dfrac{(y+3)^2}{25}-\dfrac{(x-1)^2}{15}=1[/tex]

Answer:

ANSWER BELOW

Step-by-step explanation:

Given,

The length of a rectangle =6x

The width of the rectangle=x

84yd=2(6x+x)

84yd=12X+2X

        =6

X=6

6X=6X6=36

Hence the length is 6 and the width is 36

The amount of time required for the person to reach using compound interest 22600 dollar is 13 years

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

We are given that the initial investment done by a person is $9500

And the interest rate is 6.25% semi annually that is twice

And after how much time he will have 22600 dollars

To find that we use compound interest formula

[tex]A=p(1+\frac{r}{n}) ^{nt}[/tex]

Substituting the values we get

[tex]22600= 9500(1+0.03125)^{2t}\\2.37= (1+0.03125)^{2t}\\t= 13 years[/tex]

Hence the time required to reach $22600 is approximately 13 years

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Answer:

20%

Step-by-step explanation:

The required absolute value of the given complex number is |-3 + 2i| = √13.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

The complex number is given in the question as:

-3 + 2i

We have to determine the absolute value of the given complex number.

The absolute value of a complex number a+ib is denoted as |a+ib| and is given by √(a²+b²)

As per the given question, we have

⇒ |-3 + 2i| = √((-3)²+2²)

⇒ |-3 + 2i| = √(9 +4)

⇒ |-3 + 2i| = √13

Therefore, the required absolute value of the given complex number is |-3 + 2i| = √13.

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The value of the obtuse angle is 128°

Obtuse angle is any angle greater than 90°: Straight angle is an angle measured equal to 180°.

The sum of an obtuse angle and an acute angle is 180°

Find attached a diagram

AB = house

AC = ladder

BC = horizontal ground

∠ACD = ∠ABC + ∠BAC ( sum of opposite interior angle is equal to exterior angle)

∠ACD = 90 + 38

∠ACD = 128°

In conclusion, the obtuse angle is 128°

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Explanation:

Use the distance formula to determine the distance between the two points.

Distance=√(x2−x1)2+(y2−y1)2Distance=(x2-x1)2+(y2-y1)2

Substitute the actual values of the points into the distance formula.

√((−1)−3)2+(3−(−3))2

2√13213

The result can be shown in multiple forms.

Exact Form:

2√13213

Decimal Form:

7.21110255…7.21110253

The inequality to describe the number of subscriptions is 25 + 3x ≥ A

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

Earnings per week = $25

Commission = $3 on every subscription

This means that the total earning can be calculated using

Total earnings = Earnings per week + Commission x Number of subscriptions

Substitute the known values in the above equation, so, we have the following representation

y = 25 + 3x

He hopes to make at least enough money this week to buy a new pair of soccer cleats

This means that

y ≥ Amount

So, we have

25 + 3x ≥ A

Hence, the inequality is 25 + 3x ≥ A

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All of the above options a) implement an expansion strategy b)attract capital c)reduce tax burdens d)easy entry into an industry e)take advantage of limited liability ,are correct.

A corporation is generally set up to take advantage of limited liability. This means that the owners of the corporation (the shareholders) are not personally responsible for the debts and obligations of the corporation. The other options you have listed are also potential reasons for setting up a corporation, but they are not the primary purpose of a corporation.

An expansion strategy refers to a company's plan for growth and expansion, and setting up a corporation can be one way to implement this strategy. Attracting capital refers to the process of raising funds for a business, and a corporation may be able to attract more capital because it is a separate legal entity that can issue stocks and bonds. Reducing tax burdens refers to the process of minimizing the amount of taxes a business has to pay, and a corporation may be able to do this because it is taxed as a separate entity. Finally, setting up a corporation can also make it easier for a business to enter an industry because it provides a legal framework for the business and can make it easier to raise capital.

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The total cost with sales tax would be $ 96.30

Answer:

Below

Step-by-step explanation:

Quarterly interest = .01 / 4 = .0025

periods = 4 x 3 yrs = 12

FV = 56500(1 + .0025)^12 = $ 58218 . 50

The correct B. 495.

A group of k elements can be chosen from a group of n elements in  ways.

n = 12

r = 4

Probability

Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic. Probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen

nCr = n1 / (n-r)! r1

12C4 = 12! / (12-4)! 4!

12C4 = 12x11x10x9x8! / 8! 4!

12C4 = 11880 / 24

12C4 = 495

The correct B. 495.

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Answer:

1+i

Step-by-step explanation:

Divide by 1

(1/1+i)

(1+i)

Identify the components of the numbers and add the real and imaginary parts separately

=(1)+(1)i

=(1)+(1)i

=(1+i)

This means that the probability of getting exactly 3 heads in ten flips is about 24.1%.

The probability of getting a specific number of heads in a given number of flips follows a binomial distribution, which describes the probability of getting a certain number of successes in a given number of independent trials. The probability of getting a specific number of heads in ten flips can be calculated using the formula:

P(x heads in n flips) = (n choose x) * p^x * (1-p)^(n-x)

where p is the probability of getting a head on each flip and x is the number of heads.

For example, the probability of getting exactly 3 heads in ten flips is:

P(3 heads in 10 flips) = (10 choose 3) * 0.35^3 * (1-0.35)^(10-3) = 0.241

This means that the probability of getting exactly 3 heads in ten flips is about 24.1%.

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Two or more figures are said to be similar when they have common properties. The value of MP is 18 units.

More than one figure are said to be similar if they have some relatable common properties, either considering their length of sides or measure of their internal angles. But similarity is not the same as congruence.

In the given question, it can be deduced that ΔMNP is similar to ΔQRP. Thus, relating the corresponding sides of the two triangles we have;

[tex]\frac{12}{30}[/tex] = [tex]\frac{5x-2}{11x+1}[/tex]

cross multiply to have

30(5x-2) = 12(11x+1)

150x - 60 = 132x + 12

collect like terms

150x - 132x = 12 + 60

18x = 72

x = 4

So that,

MP = 5x - 2

      = 5(4) - 2

      = 20 -2

MP = 18 units

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After 3 hours Dylan and Sam will be exactly 15 miles apart .

In the question ,

it is given that ,

the speed at which Dylan is jogging in east = 4 miles per hour .

the speed at which Sam is jogging in south = 3 miles per hour .

the distance covered by Dylan is = 4t

the distance covered by Sam is = 3t

we have to find the time when they are 15 miles apart .

Since Dylan walks in east and Sam walks in South  , it forms a right triangle , so , it will satisfy the Pythagoras Theorem ,

(3t)² + (4t)² = 15²

9t² + 16t² = 225

225 = 25t²

t² = 225/25 = 9

t = 3

Therefore , the time taken will be 3 hours .

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D) none of these choices are correct

The formula for the volume of a cone is V = 1/3 π[tex]r^{2}[/tex]h  and the dimensions V = 6.28 [tex]r^{2}[/tex] cubic unit

The area or capacity of a cone is determined by its volume. Cones are three-dimensional shapes.

The volume of a cone =  1/3 π[tex]r^{2}[/tex]h cubic units

Where,

‘r’ is the base radius of the cone

‘l’ is the slant height of a cone

‘h’ is the height  of the cone

A).The formula for the volume of a cone is V = 1/3 π[tex]r^{2}[/tex]h

B).find the dimensions that maximize the volume of the cone.

A cone has a slant height of 6.

V = 1/3 π[tex]r^{2}[/tex]h

V = 1/3 *22/7 * 6 *[tex]r^{2}[/tex]

V = 6.28 [tex]r^{2}[/tex] cubic unit.

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