Quadrilateral EFGH is inscribed in a circle. If m∠F = 114° and m∠G = 78° then which of the following is the measure of ∠H?

Answer:35 is equivalent to 915 because 3 x 15 = 5 x 9 = 45. 610 is equivalent to 915 because 6 x 15 = 10 x 9 = 90. 1220 is equivalent to 915 because 12 x 15 = 20 x 9 = 180.

Step-by-step explanation:

Answer:

18 : 30, 27 : 45, 36 : 60, 45 : 75

A placebo is a medication or procedure that is given to a patient for psychological rather than physiological reasons.

The most typical sources of caffeine in nature are the cocoa, tea, and coffee plants. It functions by activating the central nervous system and brain, keeping you alert and delaying the development of fatigue.

Coffee has a maximum of 86 mg of caffeine per serving.

The highest daily dose of caffeine recommended by health authorities, excluding those who are pregnant or breastfeeding, is 400 mg for healthy individuals. Additionally, it is advised to consume no more than 200 mg of caffeine daily from all sources while pregnant or nursing.

Unwanted adverse effects might arise from placebos. Negative placebo effects, often referred to as nocebo effects, have been documented as nausea, drowsiness, and allergic reactions, including skin rashes.

Considering everything, it's clear that placebos aren't used in studies all that frequently. Therefore, the 86mg of placebo is employed in a regulated manner in the study.

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The minimum amount of plastic wrap needed to completely wrap 6 containers is option C: 286.4 square inches.

Area of a circle is the area that is occupied by the given circle in a kind of two-dimensional plane. The total surface area of a cylindrical container  is solved by the equation:

A = πr²

where r is the radius of the end. The diameter of each container is given as 3.5 inches, so the radius is half of that, or 1.75 inches. Using π = 3.14, we get:

A = 3.14 x (1.75in)²

=3.14 x 3.06

= 9.61 in² (rounded to two decimal places)

The area of the rectangular side is:

A = h x  circumference

where:  h  = height of the container and circumference is the distance around the circular end. The circumference is equal to the diameter times π, so we have:

circumference = 3.5in x  π

= 3.5 x 3.14

= 10.99in

Using the given height of 4 inches, we get:

A = 4in x  10.99in

A = 43.96 (rounded to two decimal places)

Therefore, the total surface area of each container is:

A = 2 x   9.61 in²  + 43.96in²

A = 63.2in²

To wrap 6 containers, we need to multiply the surface area of each container by 6:

total surface area = 6 x 63.2in²

                      =379.2

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see correct text below

A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 3.5 inches and a height of 4 inches. What is the minimum amount of plastic wrap needed to completely wrap 6 containers? Round your answer to the nearest tenth and approximate using π = 3.14.

A. 44.0 in2

B. 63.2 in2

C. 379.2 in2

D. 505.5 in2

The simplified expression of 2x + 3x36 is 5x + 36.

When we have terms that have the same variable and exponent, we can combine them by adding their coefficients.

In the given expression, we have two terms: 2x and 3x. Both terms have the same variable 'x' with the same exponent of 1. So, we can add their coefficients, which are 2 and 3, respectively. Adding 2 and 3 gives us 5. So, the two terms can be combined as 5x.

After combining the like terms, the expression becomes 5x + 36. This is because we have only one term that contains 'x' which is 5x, and we have one constant term which is 36. These two terms are not like terms, so we can't combine them.

Hence, the simplified expression is 5x + 36.

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The equation that has the same solution as x² - 16x + 20 = -2 is x² - 16x + 22 = 0.

To find an equation with the same solution as the equation x² - 16x + 20 = -2, manipulate the given equation while preserving its solutions.

Starting with the given equation:

x² - 16x + 20 = -2

Move the constant term (-2) to the other side:

x² - 16x + 20 + 2 = 0

Simplifying:

x^2 - 16x + 22 = 0

Therefore, the equation that has the same solution as x² - 16x + 20 = -2 is x² - 16x + 22 = 0.

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Anna has $540 to spend at the bicycle shop → this means that she can spend the $540 or less, you can symbolize this as ≤ $540

Her costs include:

• A bicycle for ,$402.87

• 3 bicycle reflectors for $10.97/each, the total will be 3*10.97=,$32.91

• A pair of bike gloves for ,$14.42

• With the remaining money, she wants to buy as many biking outfits as possible. Let "o" represent the number of outfits she can buy, considering each one costs $44.90, then the total cost for the outfits can be symbolized as ,$44.90o

The calculation for her total expenses is the sum of everything she buys:

"Bicycle"+"Reflectors"+"Gloves"+"Outfits"≤$540

Using the costs listed above the expression is

Simplify the like terms, i.e. add the alone numbers together

Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

The correct radius of the cylinder is given by: Option B: 3.04 cm

The formula for the volume of a cylinder is given by the formula:

V = πr²h

where:

V is volume

r is radius

h is height

We are given the parameters as:

Height: h = 12.25 cm

Volume: V = 355 cm³

Thus:

355 = π * r² * 12.25

r² = (355)/(12.25π)

r² = 9.2245

r = √9.2245

r = 3.04 cm

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Answer:

Step-by-step explanation:

Part A

c = 0.95p

c = 0.95(2)

c = $1.90 for 2 pounds

Part B

c = 1.10p

hope this helps <3

Answer:

104.607kph

Step-by-step explanation:

Conversion from mph to kph = 1.609mph

Answer:

d

Step-by-step explanation:

The most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.

Given that,
To determine which step is the most efficient way to find the solution of x + 4 > -8.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Given inequality,
x + 4 > -8
Subtract 4 from both sides,
x + 4 - 4 > - 8 - 4
x > -12

Thus, the most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.

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Answer:

Plug the x and y values to get it

Step-by-step explanation:

Answer:

75.35km/h

Step-by-step explanation:

Answer:

75.4

Step-by-step explanation:

If a sample of 8 scores has a mean of 10 and after removing one score, the mean of the remaining scores is 11, the score that was removed is 7.

The mean of the original sample is 10. This means that the sum of the scores in the sample is 8 multiplied by 10, which equals 80. After one score is removed, the mean of the remaining scores is 11. Since there are now 7 scores remaining in the sample, the sum of those scores is 7 multiplied by 11, which equals 77.

To find the score that was removed, we need to calculate the difference between the sum of the original sample and the sum of the remaining scores. The difference is 80 minus 77, which equals 3. Therefore, the score that was removed from the sample is 3.

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W = [(n - 1)S² / σ₀²] is a Wald statistic for testing H₀: σ = σ₀.

(a) To show that Z = n(X - μ₀) / σ is a Wald statistic for testing H₀: μ = μ₀, we need to demonstrate that it follows a standard normal distribution under the null hypothesis.

Given:

X₁, X₂, ..., Xₙ: Random sample from a normal population with mean μ and known variance σ².

H₀: μ = μ₀ (null hypothesis).

Z = n(X - μ₀) / σ (test statistic to be shown as a Wald statistic).

To begin, let's calculate the distribution of the sample mean X. Since the population is normal, we have:

X ~ N(μ, σ²/n),

where X follows a normal distribution with mean μ and variance σ²/n.

Now, let's standardize X using the known variance σ²:

Z = (X - μ₀) / (σ/√n).

Since X follows a normal distribution, the linear combination of X, namely (X - μ₀), also follows a normal distribution. Furthermore, since the variance is known, the denominator σ/√n is a constant.

Thus, Z follows a normal distribution with mean (μ - μ₀) and variance (σ²/n):

Z ~ N((μ - μ₀), (σ²/n)).

Now, let's standardize Z:

Z' = (Z - (μ - μ₀)) / (σ/√n).

Simplifying, we have:

Z' = [(X - μ₀) / (σ/√n)] - [(μ - μ₀) / (σ/√n)]

= Z - [(μ - μ₀) / (σ/√n)]

= Z - c,

where c = (μ - μ₀) / (σ/√n) is a constant.

Since Z follows a standard normal distribution (mean 0 and variance 1), Z' is also a standard normal random variable.

Hence, Z = n(X - μ₀) / σ is a Wald statistic for testing H₀: μ = μ₀.

(b) To find a Wald statistic for testing H₀: σ = σ₀, we need to use a similar approach.

Given:

X₁, X₂, ..., Xₙ: Random sample from a normal population with mean μ and unknown variance σ².

H₀: σ = σ₀ (null hypothesis).

We can use the sample variance S² as an estimator for σ².

The chi-square distribution can be used to estimate the distribution of (n - 1)S² / σ² under the null hypothesis.

Thus, a Wald statistic for testing H₀: σ = σ₀ can be defined as:

W = [(n - 1)S² / σ₀²],

where W follows a chi-square distribution with (n - 1) degrees of freedom under the null hypothesis.

Note that in this case, we are using the chi-square distribution instead of the standard normal distribution as in part (a) since the variance is unknown.

Therefore, W = [(n - 1)S² / σ₀²]  is a Wald statistic for testing H₀: σ = σ₀.

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Fee for one Subscription = $10

Total people Took subscription right now = 100 + (30-10)

= 100+20 = 120

Total earning = 120 × $10

= $1200

\(\huge\text{Hey there!}\)

\(\text{Your given information we know so far is:}\\\textsf{The subscription feeds that Kiersten received for ONE month by each of her}\\\textsf{subscribers was \boxed{\mathsf{\$10}}. She has a total of \boxed{\mathsf{100}} people since last month, that means }\\\textsf{Kiersten should most likely be earning}\rightarrow\boxed{\mathsf{1,000}}\mathsf{\ (because \ 100\times 10 = \$1,000).}\\\\\text{Reading further more:}\\\textsf{Your new month has approximately 30 new subscribers that has joined Kiersten}\)

\(\textsf{site, and about 10 subscribers got rid of their subscription. This let us}\\\textsf{us know that subscription \underline{increased} by about \boxed{\mathsf{20}} subscriptions (because }\\\mathsf{30 - 10 = 20)}\\\\\rm{120\times10 = total \ earnings \ for\ Kiersten\ business}\\\rm{120\times10 = \$1,200}\\\\\\\huge\text{Therefore, your answer is: } \boxed{\mathsf{\$1,200}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

a, b, d

Step-by-step explanation:

y = x - 2

(a) The y-intercept is ( - 2)

(b) The x-intercept is 2

(d) The graph of the function ....

Answer:

I think the ans is A. inverse.

Between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. The statement that indicates between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. This is option B.

In microeconomics, the long-run average cost (LRAC) is a method of showing the average expense per unit for a given level of production input. It is the cost of producing goods per unit using a specified number of inputs, such as labor and capital.

Long-run average cost is the average cost per unit of production after the company has adapted its production scale fully. As a result, the term "long-run" denotes a period in which all of the firm's inputs are variable.

The cost structure's shape is represented by the long-run average cost curve. The curve is determined by dividing the cost of producing goods by the number of goods produced. It aids in identifying the production rate at which a firm may generate the most output at the lowest cost.The long-run average cost curve depicts how the average cost of production varies with scale.

The curve might be downward-sloping, indicating economies of scale, flat, implying constant returns to scale, or upward-sloping, indicating diseconomies of scale, based on the company's production methods.

Hence, the answer is B.

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we have

7y-1 =-2(4-2x)

convert to slope intercept form

y=mx+b

so

isolate the variable y

Adds 1 both sides

7y-1+1=-8+4x+1

simplify

7y=4x-7

divide by 7 both sides

7y/7=(4/7)x-7/7

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) can be found by considering the unit circle and the properties of cosine.

Since the cosine function represents the x-coordinate of a point on the unit circle, we can look for the angles where the x-coordinate is -(sqrt2/2).

One such angle is 135 degrees (or 3π/4 radians), where the cosine is equal to -(sqrt2/2). At this angle, the x-coordinate of the corresponding point on the unit circle is -(sqrt2/2).

Another angle with the same x-coordinate is 225 degrees (or 5π/4 radians). At this angle, the cosine is also equal to -(sqrt2/2).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians). These angles satisfy the given equation and have the desired x-coordinate on the unit circle.

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The size of each section in a graph tells in relation to the portion of the data :

The magnitude of a graphic's segment indicates a specific attribute of the data being presented. In charts like pie charts or stacked bar graphs, each component's size denotes the relative frequency or proportion of data points in a particular category.

This implies that larger fragments reflect an increased number of data points for its associated categories whereas smaller ones represent categories with lesser data points.

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Answer:

not sure if the top is negative or positive but;;

if the top is negative then the answer is F

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

square root  (y2-y1)^2+(x2+x1)^2

square root (11- 3)^2 + (4- -2)

=10

The requried difference of the given expression (-r-10)-(-4r³+r²+7r) is 4r³ - r² -8r - 10.

Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.

Here,
Given expression,
= (-r-10)-(-4r³+r²+7r)

Simplify the above expression,
= (-r - 7r +4r³- r² -10)
= 4r³ - r² -8r - 10

Thus, the requried difference of the given expression is 4r³ - r² -8r - 10.

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Step-by-step explanation:

1.5/14

2.0.114114114....

3.0.108108108

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\( \frac{2}{7} \div \frac{4}{5} \\ \\ \frac{2}{7} \times \frac{5}{4} = \frac{5}{14} \)

(No D.)

\( \frac{38}{333} = 0.114\)

\( \frac{12}{111} = \frac{4}{37} = 0.108\)

I hope I helped you^_^

Answer:

0.71 is the unit price

Step-by-step explanation:

all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))

hope this helps!!!!

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Let there be N number of kernels in the bag.

Given that the number o