I need help with question 39

The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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Answer:

10416

Step-by-step explanation:

102 squared is 10404. 10404 + 12 = 10416

In response to the given question, we can state that Rounding this to the  Pythagorean theorem nearest inch gives an answer of \($\boxed{\textbf{(D) }45}$\)

The Pythagorean Theorem is the foundational Euclidean geometry relationship among a right triangle's three sides. The area of a cube with the velocity vector side is the sum of something like the areas of squares that have the other two sides, according to this rule. The rectangle that spans the slope of a triangular shape across the sharp angle equals the total of the rectangles that span its sides, as defined by the Pythagorean Theorem. In general algebraic notation, it is written as a2 + b2 = c2.

The height of each triangle can be found using the Pythagorean theorem:

\($15^2 - \left(\frac{20}{2}\right)^2 = 225 - 100 = 125$, so the height of each triangle is $\sqrt{125} = 5\sqrt{5}$.\)

The overall height of the kite is the sum of the heights of the two triangles, which \(is $2 \cdot 5\sqrt{5} = 10\sqrt{5}$.\)

Rounding this to the nearest inch gives an answer of \($\boxed{\textbf{(D) }45}$\)

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Answer:

Its equal to 0

Step-by-step explanation:

Zero just incase its hard to read cause its next to the o <3

The option that follows is c .

The between-group estimate for calculating the degrees of freedom in ANOVA is calculated using the formula k - 1, where k represents the number of groups or treatments being compared.

This estimate represents the variability between the group means and is used in the F-ratio calculation to determine if the differences between the groups are significant.

When conducting ANOVA, the between-group estimate is an important factor in determining the degrees of freedom. This estimate represents the variability between the group means and is used to calculate the F-ratio, which determines if the differences between the groups are significant. The between-group estimate is calculated using the formula k - 1, where k represents the number of groups being compared. This formula is used because the estimate is based on the number of independent sources of variation between the groups. By accurately calculating the degrees of freedom, researchers can determine if the differences between the groups are statistically significant.

The between-group estimate for calculating the degrees of freedom in ANOVA is crucial for determining the statistical significance of differences between groups. It is calculated using the formula k - 1, where k represents the number of groups being compared. This estimate represents the variability between the group means and is used in the F-ratio calculation. Accurately calculating the degrees of freedom is essential in conducting valid ANOVA analyses.

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The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

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Answer:

1400

Step-by-step explanation:

10² is 100 so 100*14 is 1400

Answer:A point can represent a piece of data or an (x,y) value.

Step-by-step explanation:

Answer:

Do you need all of them?

Step-by-step explanation:

Answer:

C) x=7/2,-1

Step-by-step explanation:

just took the pretest got this right

Answer:

190 is the answer of the equation.

Step-by-step explanation:

a(b + c) × 2

Now putting the values of a,b and c.

5(7+12)×2

= 5(19)×2

= 95×2

= 190

Answer:

A. Red/Line C

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Alternating angels are equal if 3 is equal to 40 then 7 must also be forty (this only applies since the lines are parallel)

Bob has 63 quarters, based on the given information that he has a total of 90 dimes and quarters with a total value of $18.45.

Let's assume Bob has 'x' quarters. Since the total number of dimes and quarters is 90, we can represent the number of dimes as 90 - x.

The value of each quarter is $0.25, and the value of each dime is $0.10. The total value of the coins is given as $18.45.

We can set up the equation:

0.25x + 0.10(90 - x) = 18.45

Simplifying the equation:

0.25x + 9 - 0.10x = 18.45

0.15x + 9 = 18.45

0.15x = 9.45

x = 9.45 / 0.15

x ≈ 63

Therefore, Bob has approximately 63 quarters.

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The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

The exterior angle at angle 5 is angle 6.

We know that the sum of interior and exterior angle of the triangle is 180 degrees.

∠1 + ∠2 = 180°

∠3 + ∠4 = 180°

∠5 + ∠6 = 180°

Then the correct option is C.

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There are now 7 classrooms of 31 and 3 of 30.

A linear equation in mathematics is an equation that can be written as display style a 1x 1+ldots +a nx n+b=0, where x 1, dots, x n are the variables, and display style b, a 1, ldots, a n are the coefficients, which are frequently real integers.

Madison, we first have to add 30 + 31 = 61.

How many times does 61 go into 307

Five,

because 61 x 5 = 305.

This means there are 5 of each classroom.

We still have two students left over, though, so they will have to be added to two of the 30 rooms,

so there are now 7 classrooms of 31 and 3 of 30.

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The percent error for the organizers estimate of people who would attend as required is; 20%.

It follows from the task content that the percent error for the organizers estimate is to be determined as required.

As evident in the task content; the organizers estimate is; 1200 while only 960 people actually attended.

Therefore, the error associated which the estimation when expressed as a percentage is;

percent error = { ( 1200 - 960 ) / 1200 } × 100%

Percent error = ( 240 / 1200 ) × 100%

Percent error = 0.2 × 100%

= 20%.

On this note, the required percent error is; 20%.

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Answer:

ITS 25%

Step-by-step explanation:

Answer:

tangent x = 12/9

Step-by-step explanation:

Hello There!

Once again these are the Trigonometric Ratios

SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tan = Opposite over Adjacent (TOA)

And for this one we are asked to find the tangent of angle x

Remember tangent = opposite over adjacent

opposite - the side length that is opposite of the angle (so the angle will be facing that side length)

adjacent - the side length that is not the opposite nor the hypotenuse

The opposite of angle x is 12 and the adjacent of angle x is 9

so tangent x = 12/9

a) a minimum of 3 doctors required so that at least 70% of the arriving patients.

b) a minimum of 7 doctors are required so that the average time a patient waits for treatment is no more than 30 minutes

a) Minimum number of doctors required so that at least 70% of the arriving patients can receive treatment immediately

Formula used:

The number of patients arriving in an hour: λ = 9

Treatment time: μ = 6 minutes

Per the Little’s law, the waiting time is proportional to the average number of patients present at any given time.

λ/μ is the average number of patients present at any given time.

If there are k servers present in the ER, the number of patients they can serve is given by kμ.

Hence, the percentage of patients who have to wait is given by:

Percentage of patients waiting = λ / (kμ + λ)

Percentage of patients receiving treatment immediately = kμ / (kμ + λ)

Thus, we can now form an equation as:

kμ / (kμ + λ) ≥ 0.7

=> kμ / (kμ + 9) ≥ 0.7

=> k ≥ 3 doctors (Approximately)

Therefore, a minimum of 3 doctors required so that at least 70% of the arriving patients can receive treatment immediately.

b) Minimum number of doctors required so that the average time a patient waits for treatment is no more than 30 minutes as advertised

The percentage of patients who have to wait = λ / (kμ + λ)

Again, let us use the Little's law to find the average time patients spend waiting in the queue, which is equal to

λ / (k(μ - λ/k)).

We are given that the waiting time should not be more than 30 minutes, which can be converted to 0.5 hours.

Thus:

λ / (k(μ - λ/k)) ≤ 0.5

=> 9 / (k(0.1 - 1/k)) ≤ 0.5

=> 18 ≤ k(0.1 - 1/k)

=> 0.1k - 1 ≤ 18/k

=> 0.1k² - k - 18 ≥ 0

Using the quadratic formula, the solution is k = 6.66, which is rounded up to 7, and k = 2.5, which is rounded up to 3.

Therefore, a minimum of 7 doctors are required so that the average time a patient waits for treatment is no more than 30 minutes as advertised and a minimum of 3 doctors are required so that the average time a patient waits for treatment is no more than 15 minutes.

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Answer:

2 inch

Step-by-step explanation:

3 - 1 = 2

The scale factor of the dilation is 2.5.

To find the scale factor of the dilation, we can compare the corresponding side lengths of the two triangles.

In triangle ABC, the length of side AB is 2 - 0 = 2 units, and the length of side BC is 2 - 0 = 2 units.

In triangle A'B'C', the length of side A'B' is 1 - (-4) = 5 units, and the length of side B'C' is (-6) - (-1) = -5 units.

To determine the scale factor, we can compare the ratios of the corresponding side lengths:

Scale factor = (Length of corresponding side in A'B'C') / (Length of corresponding side in ABC)

For side A'B', the ratio is 5 / 2 = 2.5.

For side B'C', the ratio is -5 / 2 = -2.5.

Since the scale factor should be positive, we take the absolute value of the ratio, resulting in a scale factor of 2.5.

Therefore, the scale factor of the dilation is 2.5.

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a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

f(g(t)) = 2t² + 1

Step-by-step explanation:

You can solve this simply by substituting g(t) into f(t), and solving for f(g(t)):

\(f(t) = 2t + 5\\\\g(t) = t^2 - 2\\\\f(g(t)) = 2(g(t)) + 5\\\\f(g(t)) = 2(t^2 - 2) + 5\\\\f(g(t)) = 2t^2 - 4 + 5\\\\f(g(t)) = 2t^2 + 1\)

Answer:

x are 42 and 138degees

Step-by-step explanation:

Given the expression  sin x = 0.6691

sin x = 0.6691

Take the sin inverse of both sides

sin⁻¹(sin x) =  sin⁻¹(0.6691 )

x = sin⁻¹(0.6691 )

x = 41.99

x = 42 degrees (to the nearest degree)

Since sin theta is positive in the second quadrant;

x = 180 -theta

x = 180 - 42

x = 138degrees

Hence the value of x are 42 and 138degees

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer: Its 82 im pretty sure you just needed to do area and multiply it

Step-by-step explanation: I just multiplied.

The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.

They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.

It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,

4(8x + 5) = 4*8x + 4*5

= 32x + 20

Hence, the simplified form of 4(8x + 5) is 32x + 20.

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The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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The parametric representation for torus is x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

Parametric equation are the set of equations that express a set of quantities as explicit function of the numbers of independent variables known as parameter

Parametric representation are generally non unique so that the quantities may be expressed by the number of different parameterizations

According to the question,

The torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b.

z = a sin a

y = |PQ| and x = |OP|

but , |OQ| = |OR| + |RQ| = b + a cos a

sin ∅ = |PQ| / |OQ|

So that , y = |OQ| sin ∅ = (b + a cos a ) sin ∅

Similarly ,

cos ∅ = |OP| / |OQ|

so that x =  (b + a cos a ) cos ∅

Hence , a parametric representation for a torus is

x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a

where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

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Answer:

x = \(\frac{5+\sqrt{17}i }{7}\)

Step-by-step explanation:

7\(x^{2}\) - 10\(x\) = -6

All equations of the form \(ax^{2}\) + \(bx\) + x = 0 0 can be solved using the quadratic formula: \(\frac{-b±\sqrt{b^{2} - 4ac } }{2a}\). The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

\(7x^{2}\) - 10\(x\) = -6

Add 6 to both sides of the equation.

7\(x^{2}\) - 10\(x\) - (-6) = -6 - (-6)

Subtracting −6 from itself leaves 0.

\(7x^{2}\) - 10\(x\) + 6 = 0

This equation is in standard form: \(ax^{2} + bx + c = 0.\) Substitute 7 for a, −10 for b, and 6 for c in the quadratic formula, \(\frac{-b±\sqrt{b^{2 -4ac} } }{2a}\)

\(x\) =

\(\frac{-(-10) ± \sqrt{(-10)^{2}-4 x 7 x6 } }{2 x 7 }\)

Square −10.

\(x\) =

\(\frac{- (-10) ±\sqrt{100 - 4 x 7x 6} }{2x7}\)

Multiply −4 times 7

\(x\) =

\(\frac{- (-10)± \sqrt{100 - 28 x 6} }{2 x 7}\)

Multiply −28 times 6

\(x\) = \(\frac{-(-10)±\sqrt{100 - 168} }{2x 7}\)

Add 100 to −168

\(x\) = \(\frac{-(-10)±\sqrt{-68} }{2x7}\)

Take the square root of −68.

\(x\) = \(\frac{-(-10)± 2\sqrt{17i} }{2x7}\)

The opposite of −10 is 10.

\(x\) = \(\frac{10±2\sqrt{17i} }{2x7}\)

Multiply 2 times 7.

\(x\) = \(\frac{10±2\sqrt{17i} }{14}\)

Now solve the equation \(x\) = \(\frac{10±2\sqrt{17i} }{14}\) when ± is plus. Add 10 to \(2i\) \(\sqrt{17}\).

\(x\) = \(\frac{10+2\sqrt{17i} }{14}\)

Divide 10 + \(2i\)\(\sqrt{17}\) by 14

\(x\) = \(\frac{5+\sqrt{17i} }{7}\)

Now solve the equation \(x\) = \(\frac{10+2\sqrt{17i} }{14}\) when ± is minus. Subtract \(2i\)\(\sqrt{17}\) from 10.

\(x\) = \(\frac{-2\sqrt{17i}+10 }{14}\)

Divide 10 - \(2i\) \(\sqrt{17}\) by 14

\(x\) = \(\frac{-\sqrt{17}i +5 }{7}\)

The equation is now solved.

\(x\) = \(\frac{5+\sqrt{17i} }{7}\)

Hope it helps and have a great day! =D

The hamburger shop sold a total of 491 hamburgers and cheeseburgers on Friday. There were 59 fewer cheeseburgers sold than hamburgers, so the number of hamburgers sold on that day was 275.

432 hamburgers.

We can write an equation to represent the information given.

Hamburgers + Cheeseburgers = 491

Cheeseburgers = Hamburgers - 59

Substitute the second equation into the first equation:

Hamburgers + (Hamburgers - 59) = 491

Solve for 'Hamburgers':

2Hamburgers - 59 = 491

2Hamburgers = 550

Hamburgers = 275

Since the question asks for the number of hamburgers, the answer is 275 hamburgers.

The hamburger shop sold a total of 491 hamburgers and cheeseburgers on Friday. There were 59 fewer cheeseburgers sold than hamburgers, so the number of hamburgers sold on that day was 275.

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