A square has a perimeter of 16 in. what is a side length of square

The correct option will be that S T is congruent to segment W V.

Given the triangles STU and WVX, if the triangje are congruent, then the measure of their sides will be the same.

Since the corresponding angles are congruent, hence the equivalent sides will be:

ST = WV

Su = WX

TU = VX

Based on these, the correct option will be that S T is congruent to segment W V.

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Answer:

Step-by-step explanation:

Answer:

First, find a common denominator for 16 and 48, which is 48.

Multiply the numerator and denominator of 15/16 by 3 to have a common denominator of 48:

(15/16) * (3/3) = 45/48

Now, subtract 45/48 from 78/48:

78/48 - 45/48 = (78 - 45) / 48 = 33/48

Therefore, the difference between 78/48 and 15/16 is 33/48.

So, to find the number that needs to be added to 15/16 to get 78/48, it is 33/48.

Answer:

im albert cousin

Step-by-step explanation:

his full name is José Alberto Pujols Alcántara

my name is carlos daniel pujols frias

Answer:

it's 1 L

Step-by-step explanation:

it's pretty easy just do some multiplication

Answer:

Danny

Step-by-step explanation:

Danny charges $10 an hour

Martin charges $11 an hour

The statement is equivalent to numerical value 81.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is the statement as -

"base 3 and exponent 4"

We can write mathematically as -

{x} = 3⁴

{x} = 3 x 3 x 3 x 3

{x} = 81

Therefore, the statement is equivalent to numerical value 81.

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Answer: You can find after i explain how

Step-by-step explanation:

Add the x's together

So the problem is 6x + 1 =

This is a triangle so it = 180

6x + 1 = 180

__________

Subtract 1 from itself so 6x crosses out

Then subract 1 from 180

Which = 179

Now, divide 6 from both sides 6x is crosses out

You are left with x = (the number you got when dividing 179 / 6)

Answer:

Answer is B

Step-by-step explanation:

The value of z₁ - z₂ is C- cos(pi)+isin(pi)

Since z₁ = √2[cos(3π/4) + isin(3π/4)] and z₂ = [cos(π/2) + isin(π/2)]

z₁ - z₂ = √2[cos(3π/4) + isin(3π/4)] - ([cos(π/2) + isin(π/2)])

= √2[cos(3π/4)] + i√2[sin(3π/4)] - cos(π/2) - isin(π/2)

= √2[cos(3π/4)] - cos(π/2) + i√2[sin(3π/4)] - isin(π/2)

Since 3π/4 = 3π/4 × 180°/π = 135° and π/2 = π/2 × 180°/π = 90°,

So,

z₁ - z₂ = √2[cos(3π/4)] - cos(π/2) + i√2[sin(3π/4)] - isin(π/2)

z₁ - z₂ = √2[cos135°] - cos90° + i√2[sin135°] - isin90°

z₁ - z₂ = √2[cos(180° - 45°) - cos90° + i(√2[sin(180° - 45°)] - sin90°)

z₁ - z₂ = √2[-cos45°] - cos90° + i√2[sin45°] - isin90°

cos45° = sin45° = 1/√2 and sin90° = 1 and cos90° = 0.

So,

z₁ - z₂ = √2[-1/√2 ] - 0 + i(√2[1/√2 ] - 1)

z₁ - z₂ = - 1 - 0 + i(1 - 1)

z₁ - z₂ = - 1 + i0

z₁ - z₂ = - 1

So, the magnitude of |z₁ - z₂| = |- 1| = 1 = r

It's argument tanθ = sinθ/cosθ, since sinθ = 0 and cosθ = -1

tanθ = 0/-1 = -0

tanθ = -0 ⇒ tan(π - θ) = 0

Taking inverse tan of both sides, we have

π - θ = tan⁻¹(0)

π - θ = 0

π = θ

Since z₁ - z₂ = r[cosθ + isinθ]  and r = 1 and θ = π, then

z₁ - z₂ = r[cosθ + isinθ]

z₁ - z₂ = 1[cosπ + isinπ]

z₁ - z₂ = cosπ + isinπ

The value of z₁ - z₂ is C- cos(pi)+isin(pi)

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Based on the given equation, we can say that as n approaches infinity, the sum ∑ 8/n f (2 + 2j/n) approaches 6. This implies that the average value of the function f(x) over the interval [2,4] is equal to 6.

However, we cannot determine the exact function f(x) without additional information or constraints. The function f(x) and given the following expression: lim ∑ 8/n f(2 + 2j/n) = 6, where the limit is taken as n approaches infinity. Let's break down the expression and see what it represents.
1. "lim" stands for "limit," which means we are examining the behavior of the expression as a certain variable approaches a particular value. In this case, we're looking at what happens when n approaches infinity.
2. "∑" is the summation symbol, which is used to represent the sum of a sequence of terms. Here, the terms depend on the index variable j.
3. "8/n" is a factor in the expression, and it will influence the value of each term in the summation.
4. "f(2 + 2j/n)" is the function f(x) evaluated at the point x = 2 + 2j/n.
Now, let's put it all together:
As n approaches infinity, we are considering the sum of the terms 8/n * f(2 + 2j/n) for each j from 1 to n. The given information states that this sum approaches a limit of 6.
So, for some function f(x), we have:
lim (n→∞) ∑ [8/n f(2 + 2j/n)] = 6

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To determine the minimum number of variables required to represent the pump performance characteristic in the most general form, we can use dimensional analysis. In dimensional analysis, we express physical quantities in terms of their fundamental dimensions such as length, mass, and time.

The variables involved in the pump performance characteristic are:
1. Fluid density (ρ) - measured in mass per unit volume (lbm/ft^3)
2. Impeller diameter (D) - measured in length (ft)
3. Rotational speed of the impeller (N) - measured in rotations per minute (rpm)
4. Volumetric flow rate (Q) - measured in volume per unit time (gpm)

To determine the number of variables required, we consider the fundamental dimensions involved:
1. Mass (M)
2. Length (L)
3. Time (T)

Using these dimensions, we can express the variables as:
1. Fluid density (ρ) - [M]/[L^3]
2. Impeller diameter (D) - [L]
3. Rotational speed of the impeller (N) - [T^-1]
4. Volumetric flow rate (Q) - [L^3]/[T]

To represent the pump performance characteristic in the most general (dimensionless) form, we need to eliminate the dimensions by combining the variables in a way that results in a dimensionless quantity. This can be achieved using the Buckingham Pi theorem, which states that if a physical relationship involves 'n' variables and 'k' fundamental dimensions, then the relationship can be represented using 'n - k' dimensionless quantities.

In this case, we have 4 variables (ρ, D, N, Q) and 3 fundamental dimensions (M, L, T). Therefore, the minimum number of variables required to represent the pump performance characteristic in the most general form is 4 - 3 = 1 dimensionless quantity.

Moving on to the second part of the question, we are given a pump in the field with a 1.5 ft diameter impeller and a motor operating at 750 rpm. We want to determine the head the pump will develop when pumping a liquid with a density of 50 lbm/ft^3 at a rate of 1000 gpm. To do this, we run a test in the lab on a scale model of the pump with a 0.5 ft diameter impeller, water, and a motor running at 1200 rpm.

In order to determine the flow rate of water (in gpm) at which the lab pump should be operated, we need to establish a similarity between the field and lab conditions. The similarity criteria that should be maintained are the impeller diameter and the rotational speed of the impeller. Therefore, the lab pump should be operated at the same rotational speed of 750 rpm.

Finally, if the lab pump develops a head of 85 ft at this flow rate, we can use the similarity criteria to determine the head that the pump in the field would develop with the operating fluid at the specified flow rate. Since the impeller diameter and rotational speed are maintained, we can assume that the head developed by the pump is directly proportional to the square of the impeller diameter. Therefore, the head developed by the pump in the field can be calculated as follows:
(1.5/0.5)^2 * 85 ft = 255 ft

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The student that has the steps in the correct order regarding the construction is student B.

From the information, it is important to draw a line that intersect point B and C. The compass should be put on point B.

It is important to also keep the compass at same width. In conclusion, the student that has the steps in the correct order regarding the construction is student B.

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The statement which best describes the triangle or triangles, if any, that can be formed with the sides measuring 60 centimeters, 100 centimeters, and 40 centimeters include the following: A. No triangle.

In Mathematics, the Triangle Inequality Theorem is represented by this mathematical expression:

b - c < a < b + c

Where:

a, b, and c represent the side lengths of this triangle.

By applying the Triangle Inequality Theorem to the side lengths of this triangle, the number of triangles that can be formed would be determined as follows:

60 + 40 > 100 (False and no triangle).

In conclusion, we can logically deduce that the two (2) short side lengths does not exceed the long side lengths and as such no triangle can be formed with the sides measuring 60 centimeters, 100 centimeters, and 40 centimeter.

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Complete Question:

Which best describes the triangle or triangles, if any, that can be formed with the sides measuring 60 centimeters, 100 centimeters and 40 centimeter?

A. No triangle

B. One unique scalene triangle

C. infinitely small similar scalene triangles

D. Two unique scalene triangles.

Parathyroid hormone (PTH) and vitamin D metabolites play a vital role in regulating plasma calcium concentration. This process is essential to maintain the proper levels of calcium in the body. Here's a diagram that explains the role of PTH and vitamin D metabolites in controlling plasma calcium concentration.

Diagrammatic representation of the role of PTH and vitamin D metabolites in the control of plasma calcium concentration [Image credit: Khan Academy] PTH is a hormone secreted by the parathyroid gland, which is responsible for regulating calcium levels in the body. It acts to increase plasma calcium concentration by stimulating bone resorption and renal reabsorption of calcium. In addition, PTH stimulates the production of calcitriol, the active form of vitamin D, in the kidney.

Calcitriol plays a vital role in calcium homeostasis by promoting intestinal absorption of calcium and stimulating bone resorption. This, in turn, helps to increase plasma calcium concentration. Furthermore, calcitriol suppresses PTH production, thereby regulating PTH secretion and maintaining plasma calcium levels within the normal range.In summary, PTH and vitamin D metabolites play a crucial role in the control of plasma calcium concentration. The interaction between these hormones ensures that calcium levels are maintained within the normal range, which is necessary for optimal physiological function.

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The specific interval in which solutions are guaranteed to exist for the given differential equation cannot be determined without additional information such as initial conditions or boundary conditions.

To determine the interval in which solutions are sure to exist for the given differential equation y^(4) + y′′′ + 2y = t, we need to analyze the initial conditions or boundary conditions provided for the equation. The existence and uniqueness of solutions are typically guaranteed within certain intervals when appropriate conditions are met.

Since no initial conditions or boundary conditions are provided in the given equation, we cannot determine the specific interval in which solutions are sure to exist. The existence and uniqueness of solutions depend on the specific problem being addressed and the conditions imposed on the equation.

To ensure the existence of solutions, additional information such as initial values or boundary values needs to be provided. With proper initial or boundary conditions, solutions can be determined within the specified interval.

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It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

4

Step-by-step explanation:

A dilation of a shape's area will proportionately affect its diagonal (or in the case of a circle, its radius). Thus, we can simply multiply the scale factor (1/4) by the circle's original radius to get the length of new radius.

\(16 \left(\dfrac{1}{4} \right)\)

\(= \dfrac{16}{4}\)

\(= 4\)

Answer:

The answer would be 48 cm2

Step-by-step explanation:

1.  We need to convert the inches to square centimeters.

We multiply 3.5 × 2.54, which is 8.89. We can round this to 8.90.

We also multiply 4.25 × 2.54, which is 10.79500. We can round this to 10.80.

2. The formula to find the area of a triangle is \(a= \frac{hb}{2}\)

3. We plug the numbers into the formula. \(a= \frac{(8.90) (10.80) }{2}\)

4. 8.90 × 10.80 = 96.12

5. 96.12 ÷ 2 = 48.06

6. Round 48.06 to the nearest square centimeter to get 48 cm2

Answer:

x = 9

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² + 6² = (\(\sqrt{117}\) )²

x² + 36 = 117 ( subtract 36 from both sides )

x² = 81 ( take square root of both sides )

x = \(\sqrt{81}\) = 9

If the pattern continues, the value of y when x is 5 would be 35.

Based on the given pattern, we need to determine the value of y when x is 5.

Let's analyze the relationship between x and y:

When x = 0, y = 15

When x = 1, y = 19

When x = 2, y = 23

When x = 3, y = 27

By observing the pattern, we can see that the value of y increases by 4 as x increases by 1.

This indicates that there is a constant rate of change between x and y.

To find the value of y when x is 5, we can continue the pattern by adding 4 to the previous value of y:

When x = 4, y = 27 + 4 = 31

When x = 5, y = 31 + 4 = 35

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If the semi-annual rate is 0.5%, then the Annual Percentage Rate is 0.0001%.

To find the Annual Percentage Rate (APR), we need to double the semiannual rate since there are two semiannual periods in a year.

So, the APR would be 1% (0.5% * 2).

2. To find the Effective Annual Rate (EAR), we can use the formula:

\(EAR = (1 + r/n)^n - 1\)

where r is the nominal interest rate and n is the number of compounding periods per year.

In this case, the nominal interest rate (r) is 0.5% and the compounding periods per year (n) is 2 (since it's a semiannual rate).

Plugging in these values into the formula:

EAR = (1 + 0.005/2)^2 - 1

EAR = (1.0025)^2 - 1

EAR = 1.005025 - 1

EAR = 0.005025

Therefore, the EAR (rounded to 6 decimal points) is 0.005025.

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Answer and Explanation:

Congruent line segments have the same length.

Therefore, to construct a segment congruent to EF that has an endpoint on point G, we simply have to draw a line that is the same length as EF that ends on G.

See the attached image for a sample answer.

Answer:

3
4
2
5
1

Step-by-step explanation:

(4.3 x 10^6)*(9.8 x 10^-4)=4.214x10^3
(2.9 x 10^7)*(1.6 x 10^-9)=4.64x10^-2
(4.7 x 10^3)*(8.6 x 10^-7)=4.042x10^-3
(3.8 x 10^-4)*(6.1 x 10^2)=2.318x10^-1
(4.042x10^-3)/(2.318x10^-1)=1.74x10^-2
(4.9 x 10^3)*(7.4 x 10^-6)=3.626x10^-2
(3.9 x 10^5)*(8.7 x 10^-3)=3.393x10^3
(3.7 x 10^-5)*(2.9 x 10^8)=1.073x10^4
(3.393x10^3)/(1.073x10^4)=3.16x10^-1
sorry took a while but hope that helps

Step-by-step explanation:

5miles=8km

so, x miles=32km

8x=160

x= 160÷8

=20miles

a. The initial cost or the percentage increase, we cannot calculate the exact value of the new annual heating oil cost.

b. To accurately calculate the new annual heating oil cost and the total annual rental expenses, we need additional information such as the initial cost, the percentage increase in oil prices and the initial annual rental expenses.

The initial annual heating oil cost and the percentage increase in worldwide oil prices that led to the $185 annual increase.

Additionally, we need information regarding Brady's annual rental expenses before any changes.

Let's consider the steps you can take to calculate the new annual heating oil cost and the total annual rental expenses.

To determine the new annual heating oil cost, we need to know the initial cost and the percentage increase in oil prices.

Let's assume the initial annual heating oil cost is X dollars.

If the rise in oil prices leads to a $185 annual increase, we can set up the equation as:

X + 185 = New Annual Heating Oil Cost

The initial cost or the percentage increase, we cannot calculate the exact value of the new annual heating oil cost.

Similarly, we require the initial annual rental expenses for Brady in order to calculate the total annual rental expenses now.

If you can provide the initial annual rental expenses, we can add that to any relevant changes or adjustments to determine the new total annual rental expenses.

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The restricted domains that would result in a function whose inverse is also a function are:

b. x ≥ -4

c. x > 0

In order to have a function which it's inverse is also a function, the input value of x must have a unique value of y. This implies that the domain and range can't have repeated values.

In option b (x ≥ -4), all values greater than or equal to -4 are included, which ensures that each input value has a unique output value.

In option c (x > 0), all positive values are included, excluding zero. Again, this guarantees that each input value has a unique output value.

Therefore, options b and c would result in functions whose inverses are also functions.

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Answer:

FV= $819.03

Step-by-step explanation:

Giving the following information:

Initial investment= $600

Number of periods= 5*12= 60 months

Interest rate= 0.062/12= 0.0052

To calculate the future value of the investment, we need to use the following formula:

FV= PV*(1+i)^n

FV= 600*(1.0052^60)

FV= $819.03

Answer: "add by>" ; "65>" ; "go" im pretty sure

Step-by-step explanation:

my brain

Given:

a.) Garden canes have lengths that are normally distributed with a mean of 208.5 cm.

b.) Standard deviation of 2.5 cm.

c.) Probability of the length of a randomly selected cane being between 205cm and 210cm.

Step 1: Determine the z-score of two measures (205 cm and 210 cm).

Step 2: Let's determine the equivalent probability of each computed z score.

For 205 cm:

For 210 cm:

Step 3: Subtract the two probabilities.

Therefore, the probability of the length of a randomly selected cane being between 205cm and 210cm is around 64.50% or 0.645

Below are the table applied to determine the respective probabilities on a given z score: