In the diagram shown above, quadrilateral CEFH is a parallelogram.

Using properties of angles, triangles, and quadrilaterals, order the angles listed on the tiles from least measure to greatest measure.

Answer:

-x + 10

Step-by-step explanation:

Remove the brackets

2*x - 2*4 - 3*x - 3* -6

2x - 8 - 3x + 18

-x + 10

Answer:

(g-7)^3

Step-by-step explanation:

(x-y)^3 = x^3 - y^3

In this case you are solving for y, or 343

The cube root of 343 is 7

g^3 - 7^3 = (g-7)^3

(g-7)^3

Step-by-step explanation:

g³-343=0

g³=343

g=³√343

g=7

g³-7³=0

(g-7)^3=0

First, since the diameter of the pool cover is 18ft, the circumference can be found with the following equation:

then, the circumference is:

next, we can find the area with the following formula:

since the radius of the pool cover is 9 ft, we have:

therefore, the circumference is 56.52ft and the area is 254.34ft^2

Answer:

rectangle

Step-by-step explanation:

Answer:  Rectangle

Step-by-step explanation: Hope this helps ! :)

Answer:

Never applies

Step-by-step explanation:

When we talk of the opposite of a number, we are simply referring to the additive inverse. which is the negative of whatever value that we have

So let’s add -2 to 2; that gives zero

let’s add -5 to 5 = 0

We can see that at all

points, the answer we are getting is zero

Answer:

The answer is 7/24 ~hope this helps~

btw, sick pic  B-)

Step-by-step explanation:

Answer:jmm

Step-by-step explanation:hmmm

Answer:1,3,5

Step-by-step explanation:

is is all your y values

The probability that the customer is a good risk is 0.70 and the probability that the customer is not a poor risk is 0.957.

To calculate the probability of the customer being a good risk, we need to divide the total number of good risk customers (7732) by the total number of customers (11,102). This gives us 7732/11102 = 0.7000. To calculate the probability of the customer not being a poor risk, we can subtract the total number of poor risk customers (949) from the total number of customers (11,102). This gives us 11102-949 = 10,153. We then divide this number by the total number of customers, giving us 10,153/11,102 = 0.9571. Therefore, the probability that the customer is a good risk is 0.70 and the probability that the customer is not a poor risk is 0.9571.

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Answer:

The order of the numbers from least to greatest is -3, -0.5, 1.2, 3.

Answer:

-3, -0.5, 1.2, 3

Answer:

4/33 = 0.12121

Step-by-step explanation:

Answer:

8/66 reduced is 4/33

Step-by-step explanation:

Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 \(\(\int_{0}^{\pi /3}\) ½ (4 cos (θ)² − ½ (2)² dθ

  =  \(\(\int_{0}^{\pi /3}\) 16 cos2 (θ) − 4dθ

  = \(\(\int_{0}^{\pi /3}\) 8 (1+cos(2θ)) − 4dθ

  =\(\(\int_{0}^{\pi /3}\) 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] \(\(\int_{0}^{\pi /3}\)

  = 4π/3 + 2√3

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The series [infinity] (−1)ⁿ n/(n³+ 3), where n ranges from 1 to infinity, is conditionally convergent.

In the given series, the numerator alternates between positive and negative values due to the term (-1)ⁿ. The denominator, n³ + 3, grows without bound as n approaches infinity. To determine the convergence of the series, we can use the Alternating Series Test and investigate the behavior of the sequence (n/(n³ + 3)).

First, we observe that the limit of the sequence as n approaches infinity is 0, indicating that the terms of the series converge to 0. Additionally, the sequence is decreasing because the denominator grows faster than the numerator.

According to the Alternating Series Test, if a series satisfies these conditions (converges to 0 and is decreasing), it is conditionally convergent. Therefore, the given series is conditionally convergent.

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The process capability, Cp is calculated by dividing the upper specification limit minus lower specification limit by 6 times the process standard deviation.

This is the formula for the process capability.

Cp = (USL - LSL) / (6 * Standard deviation)

Where, Cp is process capability USL is the Upper Specification Limit LSL is the Lower Specification Limit Standard deviation is the process standard deviation.

The extrudate is subsequently cut into individual parts, and the extruded parts have a critical cross-sectional dimension = 12.50 mm with standard deviation = 0.25 mm. The mean of this distribution is the center line of the control chart and the critical cross-sectional dimension 12.50 mm is the target or specification value.

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(a) In trade equilibrium, the consumption point for the Home consumer can be shown on a graph where wheat is on the x-axis.

(b) If the world relative price increases above 2/3, the Foreign consumer's utility will decrease compared to the benchmark trade equilibrium with a world price of 2/3.

a, Since the relative price of wheat to cloth is 2/3, the Home consumer's consumption point will lie on a budget line with a slope of -2/3. The specific coordinates of the consumption point cannot be determined without additional information about preferences and the Home consumer's budget constraint.

To show that an increase in the relative price of wheat from 2/3 raises Home's utility, we need to consider the concept of substitution effect. When the relative price of wheat increases, it becomes relatively more expensive compared to cloth. The Home consumer will respond by consuming less wheat and more cloth, moving along the budget line to a new consumption point. This movement is driven by the substitution effect, where the consumer substitutes away from the now relatively more expensive wheat towards the relatively cheaper cloth. Since the Home consumer's preferences and utility are not known, the specific utility level cannot be quantified, but it can be concluded that the utility increases due to the substitution effect.

b.  In the benchmark equilibrium, the Foreign consumer maximizes utility given the initial relative price. If the relative price increases, it means that wheat becomes relatively more expensive compared to cloth in the world market.

As a result, the Foreign consumer will have to consume less wheat and more cloth in order to remain on the same budget line. This movement along the budget line leads to a decrease in utility because the consumer has to give up some desired wheat consumption to obtain more cloth. The magnitude of the utility decrease depends on the specific preferences and utility function of the Foreign consumer, but it can be concluded that the utility will be lower when the relative price of wheat increases above 2/3 in the world market.

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Answer:

p = 0.70z

Step-by-step explanation:

p is the food the penguins eat

z is the food the zebras eat

We are told that:  p < z

Then we are told that:  p = 70% of z

This can be written as p = 0.70z

An alternative way this can be written is:  p/z = 0.70  [The ratio of p to z is 0.7]

Answer:

r=8

Step-by-step explanation:

The radius is the diameter divided by 2.

So, 16/2 would equal 8.

Answer:

see below

Step-by-step explanation:

y = 5x + 150 {x l if x < 100}

y = 4.25x + 150 {x l if x ≥ 100}

The angle measures for this problem are given as follows:

Then the four letter code is given as follows:

FBCA.

For angle A, first we have that (2x + 35)º and (8x - 40)º are vertical angles, hence the value of x is obtained as follows:

8x - 49 = 2x + 35

6x = 84

x = 84/6.

x = 14

This means that the measure of angle A is obtained as follows:

m<A = 2(14) + 35 = 28 + 35 = 63º.

For angle B, the two angles are supplementary, hence the value of x is given as follows:

10x - 18 + 15x + 48 = 180

25x = 150

x = 150/25

x = 6.

Then the measure of angle B is given as follows:

m < B = 15x + 48 = 15(6) + 48 = 138º.

For angle C, the alternate interior angles are congruent, hence the value of x is obtained as follows:

7x + 5 = 12x - 75

5x = 80

x = 16.

Then the measure of angle C is obtained as follows:

m<C = 7x + 5 = 7(16) + 5 =  117º.

For item 4, the angles form a linear pair, meaning that they are supplementary and the value of x is obtained as follows:

27x - 21 + 10x + 16 = 180

37x = 185

x = 185/37

x = 5.

Then angle D is calculated as follows:

m < D = 27x - 21 = 27(5) - 21 = 114º.

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To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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Answer:

6

Step-by-step explanation:

\(\frac{2}{3}\) (18 - 9)

= \(\frac{2}{3}\) × 9 ( cancel 3 and 9 by 3 )

= 2 × 3 = 6

Answer:

6

Step-by-step explanation:

\(\frac{2}{3}\) (18 - 9)

Multiply \(\frac{2}{3}\) with 18 and 9. Which would look like this:

( \(\frac{2}{3}\) × 18 ) - ( \(\frac{2}{3}\) × 9 )

Calculate the values in the bracket and then subtract.

= \(\frac{36}{3}\) - \(\frac{18}{3}\)

= \(\frac{18}{3}\)

= 6

Answer:

i don't get this type of math yet

Step-by-step explanation:

The minimum value of the function f(x) = 0.6x² - 9.4x + 29 is 4.452.

To find the minimum value of the function f(x) = 0.6x² - 9.4x + 29, we need to complete the square. We know that a quadratic expression of the form ax² + bx + c can be expressed as a(x - h)² + k, where h and k are constants and (h, k) is the vertex of the parabola defined by the quadratic function.

Here's how to complete the square for f(x) = 0.6x² - 9.4x + 29: f(x) = 0.6x² - 9.4x + 29 = 0.6(x² - 15.67x) + 29 = 0.6(x² - 15.67x + 60.92) - 0.6(60.92) + 29 = 0.6(x - 7.835)² + 4.452. The minimum value of f(x) occurs at the vertex, which is at x = 7.835, and the minimum value is 4.452.

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The first five numbers in the sequence are 10, 19, 37, 73 and 145.

Sequences are a list of elements (numbers, most of the time) in which the order of elements matters.

Given that, The pattern rule for a sequence is "Start at 10, double the number before this one, and subtract 1."

Forming the equation according to question, we get,

(2n-1)

The first number is 10

2nd = 10x2-1 = 19

3rd = 19x2-1 = 37

4th = 37x2-1 = 73

5th = 73x2-1 = 145

Hence, The first five numbers in the sequence are 10, 19, 37, 73 and 145.

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Answer:

I think its true although Im not sure

The expression sin(Tan⁻¹(-1)) evaluates to √2/2.

The trigonometric expression is sin(Tan⁻¹(-1)). To evaluate this expression, we need to understand the principal value of the inverse tangent function, Tan⁻¹.

The principal value of Tan⁻¹ is the angle whose tangent is equal to the given value. In this case, Tan⁻¹(-1) represents the angle whose tangent is -1. We know that the tangent function is negative in the second and fourth quadrants.

In the second quadrant, the reference angle whose tangent is 1 is π - π/4, which is 3π/4. In the fourth quadrant, the reference angle is -π/4.

Since the expression is sin(Tan⁻¹(-1)), we need to find the sine of the angle whose tangent is -1. The sine function is positive in the second quadrant, so the sine of 3π/4 is √2/2.

Therefore, sin(Tan⁻¹(-1)) is equal to √2/2.

In summary, the expression sin(Tan⁻¹(-1)) evaluates to √2/2, which represents the sine of the angle whose tangent is -1 in the second quadrant.

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Francis made an error in writing the explicit formula. The correct formula should be an = 4 * (1/4)⁽ⁿ⁻¹⁾, not an = 4 * (1/4)ⁿ⁻¹. The exponent should be (n-1), not just n, to correctly represent the sequence where the second term is 8 and the fourth term is 2.

To determine the error in Francis' formula, we need to apply it to the known terms of the sequence and see if it produces the correct values. For example, for the second term, n = 2, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)¹ = 4 * 1/4 = 1

But the second term of the sequence is 8, not 1. So the formula is incorrect.

Similarly, for the fourth term, n = 4, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)³ = 4 * 1/64 = 1/16

But the fourth term of the sequence is 2, not 1/16. So the formula is still incorrect.

Therefore, we can conclude that the formula written by Francis is not correct and needs to be corrected to accurately describe the sequence.

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Answer:

y = 3x + 3

Step-by-step explanation:

m = 3 because the slope rises 3 and runs 1, therefore 3/1 = 3

b = 3 because the y-intercept is (0,3), therefore y-int = 3

y = 3x + 3