Can someone help me with this please?
Transcript: The first 5 x 5 square grid shown below has a 2 x 2 subgrid of grey squares, while the second does not. Picture below.
A 5 x 5 square grid has n squares that are coloured grey.
A) How many 2 x 2 subgrids does the 5 x 5 square grid have?
B) Find the least value of n for which you can be certain that it will have a 2 x 2 subgrid of grey squares.

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The stiffer spring with the higher "k" value will store more potential energy when compressed by the same amount.

When compressed by equal amounts, the spring with more potential energy is the one with a higher spring constant

(k).

Justifying this answer requires understanding the formula for potential energy stored in a compressed spring:

Potential energy

\((PE) = (1/2) × k × x^2\)

In this formula, "k" is the spring constant, and

"x" is the amount of compression.

When two springs are compressed by the same amount (equal "x" values), the potential energy depends on the value

of "k."

A higher spring constant means the spring is stiffer and requires more force to compress it.

Therefore, the stiffer spring with the higher "k" value will store more potential energy when compressed by the same amount.

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

The shaded area under the curve is equal to 0.6826.

From the information provided, we have the following parameters:

Mean, μ = 501

Standard deviation, σ = 55.00

In this exercise, you are required the shaded area under the curve and this can be represented or modeled by this mathematical expression:

446 ≤ x ≤ 556

The lower limit (boundary) is equal to 446 i.e x₁ = 446.

The upper limit (boundary) is equal to 556 i.e x₂ = 556.

Next, we would determine the z-score for both limits as follows:

Z-score = (x₁ - μ)/σ

Z-score = (446 - 501)/55.00

Z-score = -55/55.00

Z-score = -1.00

For the upper limit, we have:

Z-score = (x₂ - μ)/σ

Z-score = (556 - 501)/55.00

Z-score = 55/55.00

Z-score = 1.00

By using a z-score calculator, the area is given by:

P(446 ≤ x ≤ 556) = P(-1.00 ≤ x ≤ 1.00)

P(-1.00 ≤ x ≤ 1.00) = P(x ≤ 1.00) - P(x ≤ -1.00)

P(-1.00 ≤ x ≤ 1.00) = 0.6826.

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Answer:

  4^(11/20)

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

Using that here, we have ...

  4^(3/4)/4^(1/5) = 4^(3/4 -1/5)

  = 4^(15/20 -4/20) = 4^(11/20)

The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

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Answer:

we can describe this by using the formulas of Trigonometric functions..........Thank u.....

Answer:

graph a is the correct answer

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2x+5(3x-4)=14

Distribute

2x + 15x -20 = 14

Combine like terms

17x -20 = 14

Add 20 to each side

17x-20+20 =14+20

17x = 34

Divide by 17

17x/17 = 34/17

x=2

The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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Answer:

D. 5i

Step-by-step explanation:

edge 2021

Answer:

-5/9

Step-by-step explanation:

The exact point at which the lines cuts the axis are unclear so I used the closest round number to substitute into the gradient formula. From the answer I noticed two things

Firstly it was a negative gradient...therefore the second and the fourth option wouldn't work

Secondly (if I were to ignore the operation) the number is less than 1 which would mean that it couldnt be an improper fraction where the numerator is greater than the denominator.

If you take what you notice about both the operation and the size of the number you would find that -5/9 fits the criteria the best and is therefore the answer to your question.

\( \frac{y2 - y1}{x2 - x1} \\ = \frac{0 - ( - 1)}{ - 2 - 0} \\ = - \frac{1}{2} \)

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

Regular Operations

The gross weight of vehicles in regular operations (operating without a special permit) is governed by the State's bridge formula (Computed Gross Weight Table in Ala. Code §32-9-20[a][4][c]). State law allows a 10 percent tolerance for weight enforcement (Ala. Code §32-9-20[a][4][d]). See Exhibit 8 for a summary of Alabama weight provisions under regular operations.

Exhibit 8: Summary of Alabama Truck Weight Limits for Vehicles in Regular Operations

Single Axle 20,000 lbs.

Tandem Axle 34,000 lbs. on Interstate highways 36,000 lbs. on non-Interstate highways

Tridem Axle 42,000 lbs.

Gross Weight 80,000 lbs. on Interstate highways 84,000 lbs. (6 or more axles) on non-Interstate highways

Other 10 percent scale or enforcement tolerance on non-Interstate highways

Step-by-step explanation:

Answer:

B) \(-\sqrt{64}\)

Step-by-step explanation:

A rational number, can be expressed as a fraction: \(\frac{a}{b}\) where a and b are both integers.

The square root of 64, can be simplified to 8, since 8 * 8 = 64.

So the expression: \(-\sqrt{64} = -8\), and 8 is a rational number, since it can be expressed as: \(\frac{8}{1}\)

Answer:

  SSS congruence

Step-by-step explanation:

All sides of a rhombus are the same length. The diagonal AC is congruent to itself, so ΔABC ≅ ΔCDA by the SSS congruence postulate.

The resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.

According to the given information, the current in an electrical conductor varies inversely to the resistance of the conductor. Inverse variation can be represented mathematically as follows:

Current * Resistance = Constant

Let's denote the constant as 'k'. We can use the initial values to find the value of 'k'.

When the resistance is 240 ohms and the current is 12 amperes:

12 * 240 = k

k = 2880

Now that we have the value of 'k', we can use it to find the current when the resistance is 540 ohms:

Current * 540 = 2880

Current = 2880 / 540

Current ≈ 5.33 amperes

Therefore, when the resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.

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8/8 minus 5/8 is 3/8.

3/8 of 64 is 24

The answer is 24.

Answer:

The answer is -13x+4

Answer:

x = 7deg

Step-by-step explanation:

7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)

22x = 154

x = 7deg

This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

38.4 megabytes for 16 electronic books

Step-by-step explanation:

2.4 megabytes per electronic book

2.4 megabytes x 16 electronic books = 38.4 megabytes

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer:

(2,-5)

Step-by-step explanation:

Answer:

17.85$

Step-by-step explanation:

Let x be 1 shirt price

Let y be 1 pant price

we have the following equation

3x+2y = 104.81$ (1)

2x+y = 61.33$ => multiply two sides by 2 => 4x + 2y = 122.66 (2)

=> (2) - (1) => x = 17.85$

So one shirt is 17.85$

Answer:

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Step-by-step explanation:

Given that

mean weight = 3831 grams,

variance = 108,900

sample size n = 65

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?

Now standard error of mean = √( 108900 / 65 ) = 40.9314

z = +/- (45/40.9314)

z = +/-1.0994

so

P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )

= 0.8642 - 0.1358

= 0.7284

Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284