pleaseeeeeee helpppppppp meeeee

Answer:

18y-6x

Step-by-step explanation:

Multiply what is inside the brackets by what is outside, in this case 3.

Answer:

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

Step-by-step explanation:

To find - Write the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

Proof -

We know that ,

If a is the side length of the square then,

Area of square = a²

Now,

a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get

Side length of the square is 6 units.

b.) 37

⇒a² = 37

⇒a² = [sqrt(37)]²

⇒a = sqrt(37)

∴ we get

Side length of the square is sqrt(37) units.

c.)100/9

⇒a² = 100/9

⇒a² = [10/3]²

⇒a = 10/3

∴ we get

Side length of the square is 10/3 units.

d.)2/5

⇒a² = 2/5

⇒a² = [sqrt(2/5)]²

⇒a = sqrt(2/5)

∴ we get

Side length of the square is sqrt(2/5) units.

e.)0.0001

⇒a² = 0.0001

⇒a² = [0.01]²

⇒a = 0.01

∴ we get

Side length of the square is 0.01 units.

f.)0.11

⇒a² = 0.11

⇒a² = [sqrt(11)/10]²

⇒a = sqrt(11)/10

∴ we get

Side length of the square is sqrt(11)/10 units.

We get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

We have to find the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

We have given that,sqrt(9) to represent the square root of 9.

We know that ,

If a is the side length of the square then,

Area of square = a²

For option a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get side length of the square is 6 units.

For the option b is  37.

⇒a² = 37

⇒\(a^2 = \sqrt{37} ^2\)

⇒\(a = sqrt(37)\)

∴ we get side length of the square is  \(\sqrt(37)\)  units.

c.)100/9

⇒\(a^2 = 100/9\)

⇒\(a^2= [10/3]^2\)

⇒\(a = 10/3\)

∴ we get side length of the square is 10/3 units.

for the option d.)2/5

\(a^2= 2/5\)

\(a^2 = [\sqrt(2/5)]^2\)

⇒\(a = \sqrt(2/5)\)

∴ we get side length of the square is \(\sqrt(2/5)\)units.

for the option e.)0.0001

\(a^2 = 0.0001\)

\(a^2 = [0.01]^2\)

\(a = 0.01\)

∴ we get side length of the square is 0.01 units.

For option f.)0.11

⇒\(a^2 = 0.11\)

⇒\(a^2= [\sqrt(11)/10]^2\)

\(a = \sqrt(11)/10\)

∴ we get side length of the square is\(\sqrt(11)/10\) units.

Therefore we get,we get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

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Answer:

Its gonna equal itself which is 14n^4

Step-by-step explanation:

14n4

=14*n4

=14*(n*n*n*n)

=14n4

The minimum monthly payment for Brian is $25.

The minimum payment is the smallest amount of money you must pay each month to maintain the status of your account. The statement balance is your total account balance for that billing cycle. The current balance is the sum of your most recent bill plus any charges.

From the information, the minimum monthly payment for Brian's credit card is 3.5% of his balance or $25

Since the balance was $722, the amount will be:

= 3.5% × $722

= 0.035 × $722

= $25.27

Since $25.27 is more than $25, the minimum monthly payment is $25.

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The answer is in the picture I included.

The probability that the mean of the sample will be less than 35 is approximately 0.0205, or 2.05%.

To solve this problem, we'll use the central limit theorem, which states that for a large enough sample size, the distribution of sample means approximates a normal distribution, regardless of the shape of the population distribution.

Given that the population follows a uniform distribution with α = 24 and β = 48, we know that the mean (μ) of the population is given by the formula:

μ = (α + β) / 2

Substituting the values, we have:

μ = (24 + 48) / 2 = 72 / 2 = 36

The standard deviation (σ) of the population is given by the formula:

σ = (β - α) / √12

Substituting the values, we have:

σ = (48 - 24) / √12 = 24 / √12 = 24 / 3.464 = 6.928

According to the central limit theorem, the distribution of sample means follows a normal distribution with a mean equal to the population mean (μ) and a standard deviation equal to the population standard deviation (σ) divided by the square root of the sample size (n). Therefore:

μ_s = μ = 36

σ_s = σ / √n = 6.928 / √200 ≈ 0.490

To find the probability that the mean of the sample will be less than 35, we need to find the area under the normal distribution curve to the left of 35. We'll use a standard normal distribution with a mean of 0 and a standard deviation of 1, and then transform it using the mean and standard deviation of the sample distribution.

Let's calculate the z-score for 35:

z = (x - μ_s) / σ_s = (35 - 36) / 0.490 ≈ -2.041

Using a standard normal distribution table or a calculator, we can find the probability corresponding to a z-score of -2.041. The probability that the mean of the sample will be less than 35 is approximately 0.0205, or 2.05%.

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The mean absolute deviation (MAD) for the given data set is approximately 46.5.    

The mean absolute deviation (MAD) for a data set is calculated by finding the mean (average) of the data set, then calculating the absolute deviation for each data point by minus the mean from each data point and taking the absolute value. Finally, the mean of the absolute deviations is computed to determine the MAD.

To calculate the mean absolute deviation (MAD) for the given data set, we follow these steps:

1.Find the mean value of the data set.

2.Calculate the absolute deviation for each data point by taking difference the mean from each data point and taking the absolute value.

3.Find the mean of the absolute deviations.

Now calculate the mean absolute deviation for the data set:

Step 1: Find the mean:

\(Mean =\frac{122 + 132 + 155 + 198 + 213 + 225 + 261 + 280}{8}\\ = \frac{1586}{ 8}\\ = 198.25\)

Step 2: Calculate the absolute deviation for each data point and find the sum:

|122 - 198.25| = 76.25

|132 - 198.25| = 66.25

|155 - 198.25| = 43.25

|198 - 198.25| = 0.25

|213 - 198.25| = 14.75

|225 - 198.25| = 26.75

|261 - 198.25| = 62.75

|280 - 198.25| = 81.75

Sum of absolute deviations = 76.25 + 66.25 + 43.25 + 0.25 + 14.75 + 26.75 + 62.75 + 81.75

= 372

Step 3: Find the mean absolute deviations:

\($\rm MAD =\frac{\text{Sum of absolute deviations}} { \text{Number of data points}}\\ &\\$\text{Number of data points }=$\frac{372}{8}\\ $= 46.5$\)

Rounded to the nearest tenth, the mean absolute deviation (MAD) for the given data set is approximately 46.5.

Therefore,the mean absolute deviation (MAD) for the given data set is approximately 46.5.  

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Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

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The particular antiderivative of the derivative C'(x) = 2x^2 - 4x which satisfies the given condition C(0) = 1000 is C(x) = [(2 * (x³/3)) - (4 * (x²/2))] + 1000

Particular antiderivative of the derivative C'(x) = 2x^2 - 4x which satisfies the given condition C(0) = 1000 is

C(x) = ∫C'(x) dx

C(x) = ∫(2x² - 4x) dx

C(x) = (2∫x² dx) - (4∫x dx)

C(x) = [(2 * (x³/3)) - (4 * (x²/2))] + C

Differentiating both sides w.r.t. x will give us

C'(x)C'(x) = d/dx(C(x))

C'(x) = (d/dx) [(2x³/3) - (2x²)] + 0

C'(x) = [2(x^2) - 4(x)]

Since the particular antiderivative satisfies the given condition

C(0) = 1000, putting x = 0 in the antiderivative C(x),

we get:

C(0) = [(2 * 0³/3) - (4 * 0²/2)] + C

= 0 - 0 + C

= C = 1000

Therefore, the particular antiderivative of the derivative

C'(x) = 2x² - 4x which satisfies the given condition C(0) = 1000 is:

C(x) = [(2 * (x³/3)) - (4 * (x²/2))] + 1000

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Answer:

76.1

Step-by-step explanation:

y = ice cream

z = Tempreature

y = 1.8(85) - 76.9

1.8(85) = 153

153 - 76.9 = 76.1

Answer:

76

Step-by-step explanation:

y = 1.8(85) - 76.9

y = 153 - 76.9

y = 76.1

and when you round to the nearest whole number,

y = 76

The volume of the solid is (11π/3) cubic units.

We have,

To find the volume of the solid obtained by rotating the region bounded by y = x and y = x^2 about the line x = -3, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is given by:

V = 2π ∫ [a, b] x h(x) dx,

where [a, b] is the interval of integration, x represents the variable of integration, and h(x) represents the height of the shell at each value of x.

In this case, we want to rotate the region bounded by y = x and y = x² about the line x = -3.

Since we are rotating about a vertical line, the height of the shell at each value of x will be given by the difference between the x-coordinate of the curve and the line of rotation:

h(x) = (x - (-3)) = x + 3.

To find the interval of integration, we need to determine the x-values where the two curves intersect.

Setting x = x², we have:

x = x²,

x² - x = 0,

x (x - 1) = 0.

This gives us two intersection points: x = 0 and x = 1.

Therefore, the interval of integration is [0, 1].

Now we can set up the integral to find the volume:

V = 2π ∫ [0, 1] x (x + 3) dx.

Evaluating this integral, we have:

V = 2π ∫ [0, 1] (x² + 3x) dx

= 2π [x³/3 + (3/2)x²] evaluated from 0 to 1

= 2π [(1/3 + 3/2) - (0/3 + 0/2)]

= 2π [(2/6 + 9/6) - 0]

= 2π (11/6)

= (22π/6)

= (11π/3).

Therefore,

The volume of the solid is (11π/3) cubic units.

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The total simple interest earned by Liz at the end of 5 years is found as: $28.5

A straightforward but effective idea. Very simply: interest is the benefit for saving - and the penalty of borrowing.

Principal P = $570

Interest r = 1%

Time t = 5 years.

SI = P*R*t / 100

SI = 570*1*5 / 100

SI = 28.5

Thus, the total simple interest earned by Liz at the end of 5 years is found as: $28.5.

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The complete question is-

Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year. Find her simple interest after 5 years.

Answer: 30%

Step-by-step explanation:

Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters

Option C is correct

The value of P(number greater than 2) when rolling a fair, eight-sided number cube is 0.75

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

Rolling a fair, eight-sided number cube

The sample space of a eight-sided number cube is

S = {1, 2, 3, 4, 5, 6, 7, 8}

Where, the outcomes greater than 2 are

Outcomes = {3, 4, 5, 6, 7, 8}

Using the above as a guide, we have the following:

P(number greater than 2) = n(Outcomes)/n(S)

So, we have

P(number greater than 2) = 6/8

Evaluate

P(number greater than 2) = 0.75

Hence, the value of P(number greater than 2) is 0.75

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As both the width and height of the new image are 35% of the width and height of the original image, the aspect ratio is maintained and the new image is similar to the original image.

A scale factor is defined as the ratio of an object's original scale to that of a new one, considering the different depictions of that object (bigger or smaller)

Given:

The dimensions of the original image are a width of 300 pixels and a height of 450 pixels.

The dimensions of the New image have 35% width and 35% height.

Width = 0.35 × 300 = 105

Height = 0.35 × 450 = 157.5

Scale factor = New Dimension/Original Dimension

Scale factor of Height = 157.5/450 = 0.35

Scale factor of width =  105/300 = 0.35

Therefore, the new image is neither scaled down nor scaled up and is the same as the original image.

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A normal probability plot (also known as a normal plot or a probability plot) is a graphical tool that can be used to assess whether a set of data follows a normal distribution.

When the data being plotted follows a normal distribution, the points on the plot will appear roughly linear, with deviations from linearity being relatively minor. In other words, the plot will form a straight line.

If the plot deviates significantly from a straight line, it suggests that the data may not be normally distributed. The shape of the plot can indicate whether the data is skewed or has heavy tails compared to a normal distribution.

Therefore, a normal probability plot appearing linear indicates that the data follows a normal distribution. It is important to note that this is only one way to check for normality, and it is always recommended to use multiple methods to verify the normality assumption before applying statistical tests that assume normality.

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Answer:

ax2 + bx + c

Step-by-step explanation:

the 2 is the square

Answer: Multiply by 2 on both sides

Answer:

Multiply by 2 on both sides

Step-by-step explanation:

Hope I helped

The graph of equation of Hyperbola (x - 2)²/16 - (y + 1)²/9 ≤ 1 is shown in image.

Since, We know that;

Hyperbola is defined as, two-branched open curve, a conic section, produced by the intersection of a circular cone and a plane that cuts both nappes of the cone.

Here, We have to given that;

The equation of Hyperbola is,

⇒ (x - 2)²/16 - (y + 1)²/9 ≤ 1

Since, WE know that;

Standard form of equation of Hyperbola is,

⇒ (x - h)²/a² - (y - k)²/b² = 1

Hence, Above equation shows the Hyperbola.

So, By using tool we can draw the graph equation of Hyperbola

(x - 2)²/16 - (y + 1)²/9 ≤ 1 as shown in figure.

Therefore, The graph of equation of Hyperbola (x - 2)²/16 - (y + 1)²/9 ≤ 1 is shown in image.

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cos-¹[1 + v²/2L], cos-¹[1 - v²/2L], cos[1 + v²/2L], cos[1 - v²/2L]

Given: L-Lcos0=v²/2

Let's solve for 0.From L - Lcos 0 = v²/2cos 0 = 1 - v²/2LThus, cos 0 = 1 - v²/2L.We need to find the value of 0. So, we will use the inverse cosine function.The inverse cosine of (1 - v²/2L) is equal to the angle whose cosine is (1 - v²/2L).

Therefore, 0 = cos-¹[1 - v²/2L]

Thus, cos-¹[1 + v²/2L], cos-¹[1 - v²/2L], cos[1 + v²/2L], cos[1 - v²/2L]

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Answer: Because it's winter therefore he can't enjoy the gift. or he can't walk

Step-by-step explanation:

Answer:

=−40y+33

Step-by-step explanation:

√14y2−20y+48−√14y2−20y−15

Simplifies to:

−40y+33

=−40y+33

Answer:

A

Step-by-step explanation:

1 oboe in every 7 clarinets so there would be 2 in 14 and 3 in 21

The proportional relationship that gives the rule for finding the number n of bagels in any number b of scores is:

n = 0.05b.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, we want to number n of bagels in b scores, hence the format of the relation is:

n = kb.

The number is 1/20 of the scores, hence the constant is k = 1/20 = 0.05 and the equation is:

n = 0.05b.

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Answer:

15 cents

Step-by-step explanation:

2.25 /15 = .15

Answer:

x=80 y=80

Step-by-step explanation:

x must be 80 because with an interception like this the angles that are opposite of each other will be the same degrees.

y must be 80 because it has a line parallel to the line that 80 is on

1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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Every point on the graph of g(x) is 1 unit higher than the corresponding point on the graph of f(x).

Given that

f(x) = 4(0.5)^x and g(x) = 4(0.5)^x + 1

The graphs of the functions f(x) = 4(0.5)^x and g(x) = 4(0.5)^x + 1 are both exponential functions with a base of 0.5.

The only difference between these two functions is the addition of a constant term of 1 to the second function.

This constant term shifts the graph of g(x) vertically upward by 1 unit compared to the graph of f(x).

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Complete question

Describe how the graph of f(x) = 4(0.5)^x compares to the graph of g(x) = 4(0.5)^x +1