15/100 turned into a decimal

Answer:

call me daddy boo boo and you want an uppy uppy so say please and ill give ou uppy for answer

Answer:

36 i think

Step-by-step explanation:

16 divided by 4 is 4

36 divided by 4 is 9

4*9=36

Answer:

324 square inches

Step-by-step explanation:

1/4 of 16 = 4

16-4 = 12

1/4 of 36 = 9

36-9 = 27

A= l*w

A= 27 x 12

A= 324 square inches

The exchange rate from US dollars to Myanma Kyat is given as:

1 : (45.85 × 1.507) × (0.0928) (Option C).

The rate at which one currency is converted to another is what is referred to as Exchange Rate.

Recall that the following is given from the question:

Step One - Convert from USD to BDT

This gives us 1 : (45.85 × 1.507); Hence, the rate from BDT to MMK is 1 : 0.0928

Step Two: - Ascertain the current rate for USD to MMK

This gives us - 1 : (45.85 × 1.507) × (0.0928). To get a simplified version. One would have to open the brackets.

However, from the above, it is clear that the correct answer is Option C.

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The situation described involves permutations because the order of the 20 people in line matters when lining up for concert tickets.

In this situation, the order in which the 20 people line up for concert tickets is important. Each person will have a specific place in the line, and their position relative to others will determine their spot in the queue. Therefore, the situation involves permutations.

Permutations deal with the arrangement of objects in a specific order. In this case, the 20 people can be arranged in 20! (20 factorial) ways because each person has a distinct position in the line.

If the order of the people in line did not matter and they were simply being selected without considering their order, it would involve combinations. However, since the order is significant in determining their position in the line, permutations is the appropriate concept for this situation.

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The vertex of the function is (1, -25) Correct

Because

f(x) = (x + 4)(x - 6)

Substitution

-25 = (1 + 4)(1 - 6)

Simplification

-25 = (5)(-5)

Result

-25 = -25 As both sides of the equation are equal this option is true

5) The graph is negative on the entire interval - 4 < x < 6 because the graph is below the x-axis

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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The width of the waiting area is 95 feet if the length of the area is 120 feet. Thus, option A is correct.

The area of the roller-coaster = 11,400 square feet

Length of area = 120 feet

The shape of Smiler roller coaster is rectangular-shaped. The area of the roller coaster can be calculated by using the product of length and width. The width of the roller coaster is calculated by dividing the total area by length.

Mathematically, the formula is:

width = area/length

width = 11,400 / 120

width = 95 feets

Therefore, we can conclude that the width of the waiting area is 95 feet.

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

You have a rectangular pool 15 X 30 X 5 feet

The floor of the pool is 15X30 = 450 ft2

Two sides are 5X15 = 2(75) = 150 ft2

Two sides are 5X30 = 2(150) = 300 ft2

Total area to be painted: 900 ft2

(900 ft2)/(250 ft2/gal) = 3.6 gallons

Since we can't purchase .6 gallons we

must purchase 4 gallons of paint

The volume of the pool is 15X30X5 = 2250 ft3

1 ft3 = 7.48 gallons

2250(7.48) = 16,830 gallons of water

Answer:

B

Step-by-step explanation:

0.3 is the largest

We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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The uncertainty in q is 0.045, and rounding to three decimal places gives a final answer of:

\(\sigma _q = 0.045.\)

To calculate the uncertainty in q, we need to use error propagation formula:

\(\sigma _q = \sqrt{( (d(q)/d(x) \times \sigma _x)^2 ) }\)

where d(q)/d(x) is the derivative of q with respect to x, and \(\sigma _x\) is the uncertainty in x.

Taking the derivative of q with respect to x, we get:

\(d(q)/d(x) = -2xcos((x^2)/x^3) + sin((x^2)/x^3)(2x/x^3)\)

Simplifying this expression, we get:

d(q)/d(x) = -2cos(x) + (2/x)sin(x)

Substituting x = 1.70 ± 0.02 into the expression above, we get:

d(q)/d(x) = -2cos(1.70) + (2/1.70)sin(1.70) = -2.256

Substituting into the error propagation formula, we get:

\(\sigma _q = \sqrt{((-2.256 \times 0.02)^2)} = 0.045\)

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To calculate the uncertainty in q, we will use the technique of error propagation. The first step is to compute the partial derivative of q with respect to x:

∂q/∂x = -(2x*cos((x^2)/x^3) + sin((x^2)/x^3)*(1- x^2)*(3x - 2x))/(x^2)

Next, we substitute the given value of x and its uncertainty into the above expression to obtain:

∂q/∂x = -0.454 ± 0.030

Using this partial derivative and the given uncertainty in x, we can now calculate the uncertainty in q using the formula:

Δq = |∂q/∂x|Δx

where Δx is the uncertainty in x. Substituting the values, we get:

Δq = |-0.454| * 0.02

Δq = 0.00908

Rounding this to three decimal places, we get:

Δq ≈ 0.009

Therefore, the uncertainty in q is 0.009 when x is equal to 1.70 ± 0.02.

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Answer:

Put it in your calculator then you will get the right answer.

Step-by-step explanation:

The normal stress and shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ 11 are σn = 16−15√3 and τ = 2+15√3/4. The maximum shear stress is 17.5.

The stress tensor σ given in the problem is:

σ = 201504−400−1500−1010

The normal stress is given by

σn = σ11cos²θ+σ22sin²θ−2σ12sinθcosθ

where

θ = 30°

θ = 30° is the angle between the direction perpendicular to the plane and the direction of σ11

σ11 = 20

σ22 = −15

σ12 = −4

Here is a detailed calculation:
σn = 20cos²(30)+(-15)sin²(30)-2(-4)sin(30)cos(30)

σn = 20cos²(30)+(-15)sin²(30)+4sin(30)cos(30)

σn = 20(3/4)+(-15)(1/4)+4(1/2)(√3/2)

σn = 12−15√3+4√3

σn = 16−15√3

The normal stress is σn = 16−15√3

The shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ11

σ11 is given by:
τ = σ12(sin²θ−cos²θ)+0.5(σ11−σ22)sin2θ

where

θ = 30°

θ=30° is the angle between the direction perpendicular to the plane and the direction ofσ11.

σ11 = 20

σ22 = −15

σ12 = −4

Here is a detailed calculation:
τ = −4(sin²(30)−cos²(30))+0.5(20−(−15))sin(60)

τ = −4((1/4)−(3/4))+0.5(20+15)(√3/2)

τ = 4(1/2)+0.5(35)(√3/2)

τ = 2+15√3/4

The shear stress is τ = 2+15√3/4

Maximum shear stress
The maximum shear stress is given by

τmax = 0.5(σ1−σ2)

whereσ1σ1 andσ2σ2 are the first and second principal stresses.

The eigenvalues of the stress tensor σ are found by solving the characteristic equation:

det(σ−λI)=0

Here is a detailed calculation:
σ−λI = [20150−λ−400−1500−λ0−400−15−λ10−λ]

σ−λI = 0(20150−λ)[(−λ)(−λ−15)+0(−400)]−(−4)[0(−λ−15)+(−400)(−λ)]+0[0(−400)+(20150−λ)(−λ)]

σ−λI = 0λ³+35λ²−605λ−1875

σ−λI = 0

λ = −25,5,3

The maximum shear stress occurs on the plane of maximum shear stress which is at 45° 45° to the coordinate axes.

The maximum shear stress is found to be

τmax = 0.5(σ1−σ2)

τmax = 0.5(20−(−15))

τmax = 17.5.

Therefore, the maximum shear stress is τmax = 17.5.

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The same set of data is used to calculate both the geometric and arithmetic means. The geometric mean will most likely be greater if the data are more variable than the arithmetic mean.

The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics. The result of adding together and dividing by the total number of numbers or variables is the arithmetic mean, which is also known as the average or average value. The arithmetic mean can be calculated as one approach. Divide the total by the total number of values after adding up all the values.

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Answer:

The slope of the line = m = 3

Step-by-step explanation:

Given the table

x           3          6            8           12

y           7          16          22          34

Taking any two points let say (3, 7) and (6, 16)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [16 - 7] / [6 - 3]

                  = 9 / 3

                 = 3

Therefore, the slope of the line = m = 3

Answer: S=19cm

Step-by-step explanation:

area = s^2

s(s-5)=266

s^2-5s=266

s^2-5s-266=0

(s-19)(s+14)=0

s=19cm

19 x 19 = 266

The original dimensions of the square cardboard sheet is 19 x 19.

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable, a≠0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given:

Let the length of each side of the original square cardboard be x cm.

After cutting off a strip of 3cm wide its dimension becomes

length = x cm and breadth= (x−5) cm

So, Area = x² - 5x

266 = x² - 5x

x² - 5x - 266= 0

x² - 19x + 14x - 266= 0

x(x - 19) + 14 (x - 19)= 0

(x- 19)( x + 14) = 0

x= 19, -14.

Hence, the original dimensions of the square cardboard sheet is 19 x 19.

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Answer:

(9,-5)

I hope this helps!

Answer:

Both are correct

Step-by-step explanation:

All the angles are equal, therefore causing the triangles to be similar.

Answer:

a(a^2-5a+a) factor it out

The unit rate is $26.98

Unit rate can be described as the price of a single item. From the question, we are required to find the unit rate of 1 penguin

The unit rate can be calculated as follows

7 penguins = 188.88

1 Penguin= x

Cross multiply both sides

7x= 188.88

x= 188.88/7

x= 26.98

Hence the unit rate is $26.98

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When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

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Answer:

-(cos α)/(sin α)

= -cot α

Step-by-step explanation:

use trigonometric identities

Answer:7,874

Step-by-step explanation: Because if he naps for 254 mins a day and there are 31 days, you multiply 254 by 31

Answer:

Approximately 43% mate

The  approximate arclength of the curve is L ≈ 34.179 units.

To find the arclength of the curve, we need to integrate the magnitude of the curve's derivative with respect to t over the given interval [1, 10].

The derivative of r(t) is:

r'(t) = < 4t, 2*sqrt(2), 1/t >

The magnitude of r'(t) is:

|r'(t)| = sqrt((4t)^2 + (2*sqrt(2))^2 + (1/t)^2) = sqrt(16t^2 + 8 + 1/t^2)

Thus, the arclength of the curve is given by:

L = ∫[1,10] |r'(t)| dt
 = ∫[1,10] sqrt(16t^2 + 8 + 1/t^2) dt

This integral cannot be evaluated in terms of elementary functions, but we can approximate it using numerical methods. One approach is to use Simpson's rule, which approximates the integral as:

L ≈ ∆t/3 * [f(1) + 4f(3) + 2f(5) + ... + 4f(9) + f(10)]

where ∆t = (10 - 1)/n is the step size and f(t) = sqrt(16t^2 + 8 + 1/t^2). Using n=100, we get:

L ≈ 34.179

Therefore, the approximate arclength of the curve is L ≈ 34.179 units.

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In the given expression, the multiplication and division operations are performed first, followed by any addition and subtraction operations.

To evaluate the given expression, we need to break it down into individual operations and then apply the order of operations. Let's analyze each operation step by step:

Parentheses: In this expression, there are no parentheses, so we can skip this step.

Exponents: The exponentiation operation is denoted by the "^" symbol. However, in this expression, there are no exponents.

Multiplication and Division: The multiplication and division operations are performed from left to right. In the given expression, we have two multiplication operations: "\(3 * 2 ^ 2\)" and "100 / 10 * 2." According to the order of operations, we need to evaluate these multiplications before moving on to other operations.

First, let's consider "\(3 * 2^2\)" In this case, the exponentiation operation (^) takes precedence over multiplication. Therefore, we need to evaluate "\(2^2\)" first. Since 2 raised to the power of 2 is 4, the expression becomes "3 * 4."

Next, we have "100 / 10 * 2." As there are no other operations to perform before division, we can proceed with evaluating this expression. The division of 100 by 10 results in 10, and then multiplying by 2 gives us 20.

Addition and Subtraction: The addition and subtraction operations are also performed from left to right. In the given expression, we have "16 5" and "15 - 3" as the remaining operations.

Let's consider "16 5" first. The expression "16 5" is ambiguous because there is no operator between the numbers. It is essential to have a proper operator like ">" or "<" to determine the relationship between the two numbers. Without it, the expression is invalid.

Finally, we have "15 - 3." Subtracting 3 from 15 gives us 12.

Now that we have evaluated each operation, we can rewrite the expression as "3 * 4 < 12 and also 20 > 12."

To summarize, the operations are performed in the following order:

Exponents (if any)

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

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