In the expression 3x-10 which would be the constant

Answer:

138 ounces

Step-by-step explanation:

Answer:

4th option: 1953.08 mm

Step-by-step explanation:

circumference of circle= \(\pi d\)

Thus, circumference of wheel

\( = 3.14(622) \\ = 1953.08mm\)

Answer:

D.

Step-by-step explanation:

The word AND in probability implies that we use the​ multiplication rule.

The word OR in probability implies that we use the​ addition rule.

The statement "if two events are disjoint, then they are independent" - this statement is FALSE because those events that cannot occur simultaneously, and independent events are those events that do not affect the probability of each other's occurrence.

The word "AND" in probability implies that we use the "multiplication rule." This rule states that the probability of two events occurring together is the product of their individual probabilities.

The word "OR" in probability implies that we use the "addition rule." This rule states that the probability of at least one of the events occurring is the sum of their individual probabilities, minus the probability of both events occurring simultaneously.

Two events can be either disjoint or independent, but they cannot be both at the same time. For instance, let's say we are rolling a die. The events "getting a 1" and "getting an even number" are disjoint, as they cannot occur simultaneously. However, they are not independent, as the occurrence of one event affects the probability of the other event occurring. Specifically, if we get a 1, the probability of getting an even number reduces to zero.

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The word AND in probability implies the multiplication rule, while the word OR implies the addition rule. Disjoint events are not necessarily independent.

The word AND in probability implies that we use the multiplication rule. The word OR in probability implies that we use the addition rule.

However, it is FALSE that if two events are disjoint, then they are independent. Disjoint events mean that they have no outcomes in common, while independent events mean that the occurrence of one event has no effect on the probability of the occurrence of the other event.

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Answer:

The scale factor is 3

Step-by-step explanation:

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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Answer:

Below

Step-by-step explanation:

Area of a triangle = 1/2 b * h

Triangle A = 1/2 (4 * 10) = 20  units^2     ( I got the '10' from answers below)

Triangle B must be    b = 2   h = 2    (for area = 2)

Rectangle C must be  2 x 2               ( for area = 4)

Triangle D = 1/2 (2+2+6)*2 = 10 units ^2

Total = 20 + 2+4+ 10  = 36 units^2

Answer:

32

Step-by-step explanation:

Area of a triangle = 1/2bh

b = base

h = height

Area of a square = bh, where b=h

A:  1/2(2+2+6)(4) = 20

B:  1/2(2)(2) = 2

C:  (2)(2) = 4

D:  1/2(6)(2) = 6

Total = A+B+C+D = 20+2+4+6 = 32

**the way the dimension "6" is labeled is a little confusing.  I assumed 6 is the base of triangle D

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer:

32

Step-by-step explanation:

i hope this helped

Answer:

66

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

\(c^{2} = a^{2} + b^{2} \\20^{2} = 8^{2} + b^{2}\)

B=\(4\sqrt{21}\)

This makes b = 18.3

Now you can find the angle B = arcsin (opp/hyp)

B=arcsin \(\frac{4\sqrt{21} }{20}\)

B= 66.42

Answer:

22°

Step-by-step explanation:

Okay, to first find the missing side, you need to use a² +b² = c²

getting 21.54 for the hypotenuse. From there, you're going to divide the leg (8) that's opposite of the angle you're trying to find and divide it by the hypotenuse (21.54). Then on you're caluclator you should have a button that says "Sin-1". You're going to use that and plug in the answer you got from 8/21.54. This'll give you your answer!

\(f(x)=x^2-5x+6\)

↝ f(4) equals to substituting x = 4 in the equation.

Thus,

\(f(4)=4^2-5(4)+6\\f(4)=16-20+6\\f(4)=22-20\\f(4)=2\)

Therefore, f(4) = 2

Answer:

2

Step-by-step explanation:

f(4) = 4^2-5(4) + 6

     = 2

Step-by-step explanation:

\( \cos(e) = \frac{12}{37} = 0.324\)

The determinants for the given linear system are |A| = -19, |Ax| = -74, and |Ay| = 57.

A linear system is a collection of one or more linear equations involving one or more variables.

The given linear system's determinants are:

The coefficient matrix determinant, denoted by |A|

The x variable matrix determinant, denoted by |Ax|

The y variable matrix determinant, denoted by |Ay|

To find these determinants, we first need to write the coefficient matrix and the x and y variable matrices.

The coefficient matrix is the matrix of the coefficients of the variables

| 5 2 |

|-3 -5 |

The x variable matrix is obtained by replacing the x column in the coefficient matrix with the constants on the right-hand side of the equations:

| 14 2 |

| 3 -5 |

The y variable matrix is obtained by replacing the y column in the coefficient matrix with the constants:

| 5 14 |

|-3 3 |

Now we can calculate the determinants:

|A| = determinant of the coefficient matrix = (5)(-5) - (-3)(2) = -19

|Ax| = determinant of the x variable matrix = (14)(-5) - (2)(3) = -74

|Ay| = determinant of the y variable matrix = (5)(3) - (14)(-3) = 57

Therefore, the determinants for the given linear system are |A| = -19, |Ax| = -74, and |Ay| = 57.

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Answer:

x = 80° , y = 50° , a = 60° , p = 60°

Step-by-step explanation:

(a)

a linear pair of angles sum to 180° , then

x + 100° = 180° ( subtract 100° from both sides )

x = 80°

(b)

vertically opposite angles are congruent , then

y = 50°

(c)

complementary angles sum to 90° , then

a + 30° = 90° ( subtract 30° from both sides )

a = 60°

(d)

supplementary angles sum to 180° , then

p + 120° = 180° ( subtract 120° from both sides )

p = 60°

The value of cos θ is equal to 1/3 when sec θ= √6/2.

Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.

Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.

In other words, secθ = 1/cosθ

Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.

cosθ = 1/secθ

We are given that secθ= √6/2

We can use this value to find cosθ= 1/secθ

cosθ = 1 / (√6/2)

To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).

cosθ = ((2/√6) / (√6/2) * (2/√6))

cosθ = (2/√6) / 1

cosθ = (2/√6 * √6/√6)

cosθ = 2/6 = 1/3

Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.

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Answer:

what do u need my guy 0899

Answer:

The mean is 82.727272727273 rounded 83

Step-by-step explanation:

You add all the numbers:

40 + 75 + 80 + 80+ 81 + 84 + 88 + 90 + 92 + 100 + 100= 910

You divide that result by the total of numbers to add, in this case 11

910/11= 82.727272727273

To round any number, consider that if it is 5 or above it you can round it to the nearest hundred.

Just in case

MODE: 100, 80

MEDIAN: 84

To calculate the residual for observation 6, we first need to find the forecast for observation 6. Based on the given information, the forecast for observation 6 is 34. Therefore, the residual for observation 6 would be:

Residual = Actual Demand - Forecast
Residual = 38 - 34
Residual = 4

So the residual for observation 6 is 4.
Hi! To find the residual for observation 6, we need to subtract the forecast (F) from the actual demand (A). In this case, the observation 6 values are:

Actual Demand (A): 38
Forecast (F): 28

Now, we'll calculate the residual:

Residual = Actual Demand (A) - Forecast (F)
Residual = 38 - 28
Residual = 10

So, the residual for observation 6 is 10.

Mrs Thomas' and Mr Carl's classes both have same lower ratio of A's to B's which expressed in the lowest term as 4:5 or fraction as 4/5

Ratio is used to compare values, and can be expressed as fractions.

Mrs Thomas' class have the ratio of students her students A's to B's as 16:20. And can be expressed as fraction in its lowest term as follows:

16:20 = 16/20

16:20 = 4/5

Mr Carl's class have the ratio of students her students A's to B's as 12:15. And can be expressed as fraction in its lowest term as follows:

12:15 = 12/15

12:15 = 4/5

Therefore, since the lowest form of Mrs Thomas' class and Mr Carl's class ratios of A's to B's are equal, then both class have equivalent lower ratio of A's to B's.

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Answer:C 12hours

Step-by-step explanation:

Answer:

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6.

Step-by-step explanation:

Departure time = 0540 Hours means 5: 40 am or 40 minutes past 5 in the morning.

Now add 45 mins

Hours : Minutes

      5:        40

      +         45

    5      :    85

But 1 hour contains 60 minutes so 85 - 60 gives 25 minutes . those 60 minutes = 1 hour are carried over the hours and added .

Hours : Minutes

       1

      5:        40

      +         45

    6      :    25

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6 in the morning.

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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Answer:

Huatz no te entiendo wuey

Answer:

\(Area = 129.5m^2\)

\(Perimeter = 48m\)

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the \(area\ of\ the\ rectangle\)

\(A_1 = L * B\)

Where:

\(L = 20-(3.5 +3.5)\)

\(B = 7\)

So:

\(A_1 = (20 - (3.5 + 3.5)) * 7\)

\(A_1 = (20 - 7) * 7\)

\(A_1 = 13 * 7\)

\(A_1 = 91\)

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

\(A_2 = \pi r^2\)

Where

\(r = \frac{7}{2}\)

\(A_2 = \frac{22}{7} * (\frac{7}{2})^2\)

\(A_2 = \frac{22}{7} * \frac{49}{4}\)

\(A_2 = \frac{22}{1} * \frac{7}{4}\)

\(A_2 = \frac{22*7}{4}\)

\(A_2 = \frac{154}{4}\)

\(A_2 = 38.5\)

Area of the garden is

\(Area = A_1 + A_2\)

\(Area = 91 + 38.5\)

\(Area = 129.5m^2\)

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

\(P_1 = 2 * L\)

Where:

\(L = 20-(3.5 +3.5)\)

So:

\(P_1 =2 * (20-(3.5 +3.5))\)

\(P_1 =2 * (20-7)\)

\(P_1 =2 * 13\)

\(P_1 =26\)

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

\(P_2 = 2\pi r\)

Where

\(r = \frac{7}{2}\)

\(P_2 = 2 * \frac{22}{7} * \frac{7}{2}\)

\(P_2 = \frac{2 * 22 * 7}{7 * 2}\)

\(P_2 = \frac{308}{14}\)

\(P_2 = 22\)

Perimeter of the garden is

\(Perimeter = P_1 + P_2\)

\(Perimeter = 26 + 22\)

\(Perimeter = 48m\)

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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The discount rate is kept above the federal funds rate because the Fed prefers that banks borrow reserves from each other in order to maintain a stable and competitive interbank lending market.

The discount rate is kept above the federal funds rate because the Fed prefers that banks borrow reserves from each other. So, the correct answer is option C) above; banks borrow reserves from each other. This is because the Federal Reserve wants to encourage banks to borrow from each other in the open market, which promotes stability and liquidity within the banking system.

                                  This helps to ensure that banks have access to necessary funds and can lend to customers at reasonable rates. Therefore, option D is incorrect and the correct answer is A) below; banks borrow reserves from each other.
                          The discount rate is kept above the federal funds rate because the Fed prefers that banks borrow reserves from each other.

                            So, the correct answer is option C) above; banks borrow reserves from each other. This is because the Federal Reserve wants to encourage banks to borrow from each other in the open market, which promotes stability and liquidity within the banking system.

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Using the formula, we get L{t^2} = 2! / s^(2+1) = 2/s^3.

1. To solve the Laplace transform of f(t)=t^2e^−2x cos(3t), we'll use the formula,

The Laplace transform of t^2 e^(-at) cos(bt) is [2a^3/(a^2+b^2)^2] + [2ab/(a^2+b^2)^2]s + [2(b^2-a^2)/(a^2+b^2)^2]s^2

.Using the formula: L{t^2 e^(-2t) cos(3t)} = [2 * (2)^3/(2^2 + 3^2)^2] + [2 * 2 * 3/(2^2 + 3^2)^2]s + [2 * (3^2 - 2^2)/(2^2 + 3^2)^2]s^2.L{t^2 e^(-2t) cos(3t)} = [16/169] + [12s/169] + [5s^2/169].

The Laplace transform of f(t) = [cos(3t)]^2 can be found using the formula,

The Laplace transform of cos^2(at) is [s/2] + [(a * sin(a))/2s] + [sin^2(a)/(2s)]

The Laplace transform of f(t) = [cos(3t)]^2 is L{[cos(3t)]^2} = s/2 + [(3sin(3))/2s] + [(1/2)(1 + cos(6t))/s].

3. The Laplace transform of f(t) = (e^-2t -1)^2 can be determined using the formula,

The Laplace transform of f(t) = (e^-at - 1)^n is (n!/s^n) [(1/(s+a))^n+1]

Using the formula, we get L{f(t)} = (1/s^3) [(1/(s+2))^3]

4. We'll use the trigonometric identity, sin(2t)cos(2t) = [sin(4t)]/2 to solve the Laplace transform of f(t)

= sin(2t)cos(2t).L{sin(2t)cos(2t)} = (1/2)L{sin(4t)} = (1/2) [(4)/(s^2 + 4^2)]

5. To solve the Laplace transform of f(t) = t^2, we'll use the formula,

The Laplace transform of t^n is n! / s^(n+1)

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Answer:

The surface area is 174 cm^2

Step-by-step explanation:

Since we have the area of each of the faces, to get the total area, we will need to add up the areas of all these faces

Thus, we have that;

A = 45 + 27 + 45 + 15 + 15 + 27

A = 174 cm^2

The chocolate for 140 bon-bons would cost approximately $6.13.

1. Calculate the volume of each chocolate bon-bon using the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius.

  V = (4/3)π(0.7 cm)³

  V ≈ 1.437 cm³

2. Determine the mass of each chocolate bon-bon using the density formula: density = mass/volume.

  density = 1.27 g/cm³

  mass = density * volume

  mass ≈ 1.27 g/cm³ * 1.437 cm³

  mass ≈ 1.826 g

3. Calculate the total mass of chocolate needed for 140 bon-bons.

  total mass = mass per bon-bon * number of bon-bons

  total mass ≈ 1.826 g * 140

  total mass ≈ 255.64 g

4. Determine the cost of the chocolate by multiplying the total mass by the cost per gram.

  cost = total mass * cost per gram

  cost ≈ 255.64 g * $0.04/g

  cost ≈ $10.2256

5. Round the cost to the nearest cent.

  cost ≈ $10.23

Therefore, the chocolate for 140 bon-bons would cost approximately $6.13.

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Answer:

Im not sure what you're supposed to solve but if you need to find what m = then its 110