Stefan sells Jin a bicycle for $114 and a helmet for $18. The total cost for Jin is 110% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Stefan originally spent $

63. "Adrenopathy" is the correct term for any disease of the adrenal gland.

64. Corporeal. 65. Thyropathy 66. Isletoma 67. Adrenergic 68.  Islet-related 69. Goiter 70. Thyrotropic 71. Somatic 72. Gonadotropic

63. Adrenopathy: The correct word parts to form the term that describes any disease of the adrenal gland are "adreno-" and "-pathy." The prefix "adreno-" refers to the adrenal gland, and the suffix "-pathy" indicates a disease or disorder.

64. Corporeal: To describe something pertaining to the body, the correct word part is "corpor-" which means body. By adding the suffix "-eal" meaning pertaining to, we form the term "corporeal" which means relating to the body.

65. Thyropathy: When combining the word parts for a disease of the thyroid gland, we use "thyro-" to refer to the thyroid gland and "-pathy" to indicate a disease or disorder. Thus, "thyropathy" is the term that describes any disease of the thyroid gland.

66. Isletoma: A tumor of the pancreatic islets can be described using the word parts "islet-" referring to the pancreatic islets and "-oma" which signifies a tumor. Therefore, "isletoma" is the appropriate term for a tumor of the pancreatic islets.

67. Adrenergic: To indicate something that is activated by epinephrine, the correct word part is "adreno-" referring to the adrenal gland, and the suffix "-ergic" indicating activation or stimulation by a substance. Thus, "adrenergic" describes something that is activated by epinephrine.

68. Islet-related: The word part "islet-" refers to the pancreatic islets. To describe something pertaining to the pancreatic islets, we can use the suffix "-related." Therefore, "islet-related" is the correct term for something pertaining to the pancreatic islets.

69. Goiter: Enlargement of the thyroid is commonly referred to as a "goiter." In this case, the specific word parts from the bank are not used to form the term.

70. Thyrotropic: When we want to describe something that acts on the thyroid, the appropriate word parts are "thyro-" for the thyroid gland and the suffix "-tropic" indicating an agent that acts upon or influences something. Thus, "thyrotropic" is the correct term for something acting on the thyroid.

71. Somatic: To describe something that acts on the body, the word part "somato-" is used, which refers to the body. Therefore, "somatic" is the term that describes something acting on the body.

72. Gonadotropic: The word part "gonado-" is used to refer to the reproductive organs. When we want to describe something that acts on the reproductive organs, the suffix "-tropic" is used, indicating an agent that acts upon or influences something. Therefore, "gonadotropic" is the correct term for something acting on the reproductive organs.

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F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.

To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.

From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.

The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.

Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.

Therefore, the value of F(3) is 9. Option D is correct.

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Answer:

10% of $1400 is $140
$500 + $140 = $640

Step-by-step explanation:

Answer:

m<MNP = 106°

Step-by-step explanation:

Given:

m<NMP = 46°

m<PNQ = 27°

Required:

m<MNP

Solution:

Based on SAS Triangle Congruence Theorem (Side-Angle-Theorem), ∆NMP ≅ ∆PQN

Therefore:

m<NMP = 47°

m<MPN = 27° (<PNQ ≅ <MPN)

m<MNP + m<NMP + m<MPN = 180° (sum of interior angles of a triangle)

m<MNP + 47° + 27° = 180° (substitution)

m<MNP + 74° = 180°

Subtract 74 from both sides

m<MNP = 180° - 74°

m<MNP = 106°

a manufacturing machine has a 1% defect rate. if 8 items are chosen at random, then the probability that at least one will have a defect is 0.077255 or 7.72 %

Given data

defect rate = 1%

no of sample = 8

to find out

probability at least one will have a defect solution

we know here probability of defect is

Probability (defect) = 0.01

and n is 8

so

probability (at least one defect is) = 1 - probability (none)

we know probability (none)  = 0.99^n

probability (none)  = 0.99^8

put this in equation 1

probability (at least one defect is) = 1 - 0.99^8

probability (at least one defect is) is 0.077255 or 7.72 %

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The height of the tree is approximately 48 feet.

In the given situation, we have a girl standing 40 feet away from a tree. She sights along a yardstick, and when the bottom of the yardstick is 4 feet from her eye, she aligns the top of the yardstick with the top of the tree.

To find the height of the tree, we can create a right triangle. The girl's eye, the bottom of the yardstick, and the top of the tree form the three vertices. The distance from the girl's eye to the bottom of the yardstick is 4 feet, and the distance from the girl to the tree is 40 feet.

Using the concept of similar triangles, we can set up the proportion:

(height of the tree) / (distance from the girl to the tree) = (length of the yardstick) / (distance from the girl to the bottom of the yardstick)

Let's substitute the given values:

(height of the tree) / 40 = 3 / 4

Cross-multiplying, we get:

(height of the tree) = (40 * 3) / 4 = 120 / 4 = 30 feet

Therefore, the height of the tree is approximately 48 feet.

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Answer:

Product of 6 and 9 = 54

Product of 3 and 9 = 27

Product of 2 and 9 = 18

Product of 2/3 and 9 = 6

:)

Answer:

2 gallons

Step-by-step explanation:

8 pint = 1 gallon

Answer:

first you have to move the varible so

5x +10=5y

then thats as far as i can go

good luck

Answer:

x-y=-2

Step-by-step explanation:

8x-3x-5y=-10

5x-5y=-10

x-y=-2

Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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Among the given statements, the false statement is (B) The elephant population is growing fastest when there are 100 of them.

The population of a group of elephants is modeled by the function P(t) = 200/(1+4e^(-5t)).

(A) The maximum population of the group of elephants is 200:

To find the maximum population, we can observe that as t approaches infinity, the denominator (1+4e^(-5t)) approaches 1. Therefore, the maximum population is 200. This statement is true.

(B) The elephant population is growing fastest when there are 100 of them:

The rate of population growth can be determined by finding the derivative of the population function. Taking the derivative of P(t) with respect to t gives:

P'(t) = 800e^(-5t)/(1+4e^(-5t))^2

To find when the population is growing fastest, we need to find where the derivative P'(t) is maximum. However, there is no specific value of t, such as when the population is 100, where the growth rate is maximum. Therefore, this statement is false.

(C) The population is growing fastest when t = -2:

Substituting t = -2 into the derivative P'(t), we can determine the rate of growth at that specific time. However, it does not necessarily mean that the population is growing fastest at t = -2. Therefore, this statement is false.

(D) The rate of growth when the population is growing fastest is 5%:

The rate of growth when the population is growing fastest can be determined by evaluating P'(t) at the time when the growth rate is maximum. Since we have established that there is no specific time where the growth rate is maximum, we cannot conclude that it is 5%. Therefore, this statement is false.

(E) The initial population of elephants is 40:

To determine the initial population, we can evaluate the population function at t = 0:

P(0) = 200/(1+4e^0) = 200/5 = 40. Therefore, this statement is true.

In conclusion, the false statement is (B) The elephant population is growing fastest when there are 100 of them.

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Work Shown:

Part 1

\(\left(3^8*2^{-5}*9^0\right)^{-2}*\left(\frac{2^{-2}}{3^3}\right)^4*3^{28}\\\\\\\left(3^8*\frac{1}{2^5}*1\right)^{-2}*\left(\frac{1}{3^3}\frac{1}{2^2}\right)^4*3^{28}\\\\\\\left(\frac{3^8}{2^5}\right)^{-2}*\left(\frac{1}{3^3*2^2}\right)^4*3^{28}\\\\\\\left(\frac{2^5}{3^8}\right)^{2}*\left(\frac{1}{3^3*2^2}\right)^4*3^{28}\\\\\\\frac{\left(2^5\right)^2}{\left(3^8\right)^{2}}*\frac{1}{\left(3^3\right)^4*\left(2^2\right)^4}*3^{28}\\\\\\\frac{2^{5*2}}{3^{8*2}}*\frac{1}{3^{3*4}*2^{2*4}}*3^{28}\\\\\\\)

Part 2

\(\frac{2^{10}}{3^{16}}*\frac{1}{3^{12}*2^{8}}*3^{28}\\\\\\\frac{2^{10}*3^{28}}{3^{16}*3^{12}*2^{8}}\\\\\\\frac{2^{10}*3^{28}}{3^{16+12}*2^{8}}\\\\\\\frac{2^{10}*3^{28}}{3^{28}*2^{8}}\\\\\\\frac{2^{10}}{2^{8}}\\\\\\2^{10-8}\\\\\\2^2\\\\\\4\\\\\\\)

------------

The exponent rules I used were

Answer:

7

Step-by-step explanation:

7

The angle of depression in the given diagram is 7.

The correct option is A.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

A diagram is given in the image.

The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item.

When we know the angles and the distance of an object from the ground,

it is primarily utilized to find the distance between two objects.

Here, 7 is an angle of depression.

Therefore, 7 is an angle of depression.

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1. The pack of items Nancy need to purchase is 28

2. The total of Nancy's items is $52.98

From the question, we have the following parameters that can be used in our computation:

Number of guests = 14

Hot dogs = 2

So, we have

Purchase = 14 * 2

Evaluate

Purchase = 28

Here, we have

She includes 2 chocolate cakes

So, we have

Total = 28 * 2/8 * 5 + 2 * 8.99

Evaluate

Total = 52.98

Hence, the total of Nancy's items is $52.98

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The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Therefore, the probability that at least half of them must wait for more than 10 minutes is approximately \(1.137 x 10^-13.\)

Additionally, using relevant terms from the question in the answer is helpful.

Explanation:Given that waiting times at a service counter in a pharmacy are exponentially distributed with a mean of 10 minutes, we are to approximate the probability that at least half of the 100 customers must wait for more than 10 minutes.P(X > 10) is the probability of a customer waiting for more than 10 minutes.\(P(X > 10) = 1 - P(X < 10)P(X < 10) = 1 - P(X > 10) = 1 - e^(-10/10) = 1 - e^-1 = 0.632\)

Therefore, \(P(X > 10) = 1 - 0.632 = 0.368\)Thus, P(at least 50 customers wait for more than 10 minutes) =

\(P(X > 10)50 = 0.368^50 = 1.137 x 10^-13.\)

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Answer:

60

Step-by-step explanation:

3.92 = (6.56/100) * _

To solve for _, we can multiply both sides by 100:

100 * 3.92 = (6.56/100) * _

100 * 3.92 = 6.56 * _

_ = (100 * 3.92) / 6.56

Therefore, _ = 60.

Answer: 60

Step-by-step explanation:

Answer:more context?

Step-by-step explanation:

Answer:

32 houres and 30 minutes. to earn 299$

Step-by-step explanation:

299/9.20=32.5

2x+7y=3

2(-4y)+7y=3

-8y+7y=3

-y=3

Answer: El número de grupos de Analistas que puede realizar la inducción es de 238 y el número de grupo Ingenieros en Mantenimiento  es de 227.

Explanations: Hacemos dos ecuaciones para resolver la incógnita. Siendo X el grupo de Técnicos y Y el grupo de Ingenieros Civiles.

17X + 18Y = 423 (1)

14X + 7Y = 231 (2)

Resolvemos el sistema de ecuaciones, multiplicamos por -14 a la primera ecuación y por 17 a la segunda ecuación:

(-14) (17X + 18Y = 423)

(17)  (14X + 7Y  = 231)

Sumamos y despejamos a Y:

-238X - 252Y = -59 976

238X + 119Y = 28.322

0 + 133Y = 31 654

Y = 31 654/133

Y = 238

Entonces el número de grupo de analistas que puede realizar la inducción es 238.

Ahora sustituimos el valor de Y en cualquiera de las ecuaciones y despejamos a X:

17X + 18*231 = 423

17X + 4284 = 423

17X = 4284-423

17X = 3861

X = 3861/17

X = 227

El número de grupo de Ingenieros en Mantenimiento que realizarán la inducción es 227.

To test the hypothesis that a set of data represents a ratio of 9:3:3:1 using a chi-square test, the degrees of freedom that should be used is 3.

In a chi-square test, the degrees of freedom (df) are determined by the number of categories or groups being compared. In this case, the hypothesis involves four categories with a ratio of 9:3:3:1.

The degrees of freedom for a chi-square test are calculated as (number of categories - 1). Since there are four categories (9, 3, 3, 1), the degrees of freedom will be (4 - 1) = 3.

The chi-square test statistic compares the observed frequencies in each category with the expected frequencies based on the hypothesized ratio. The test determines whether the observed frequencies differ significantly from the expected frequencies, indicating a potential deviation from the hypothesized ratio.

Therefore, in order to conduct a chi-square test for the hypothesis of a ratio of 9:3:3:1, we would use 3 degrees of freedom.

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Answer:

y=6x+6 will be the answer

The only statements that is true about the information on the table are:

Ratio is simple math.

The number of people who wish for invisibility are: 12 ; while

The number of people who wish for flight are: 8

Thus the ratio will be given as:

8/12 further simplified by dividing by 4, we have

(8/4) : (12/4)

= 2:3

Hence, only the last statement is true.

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Answer: the first box should have 1:6 in it, the second, 2:9, and the last should have 2:3 in it

hope this helped :)

Answer:

∠ A = 19.8°

Step-by-step explanation:

the 3 angles of the triangle sum to 180°

sum the 3 angles and equate to 180

5x - 18 + 4x + x = 180

10x - 18 = 180 ( add 18 to both sides )

10x = 198 ( divide both sides by 10 )

x = 19.8

Then

∠ A = x = 19.8°

The probability that a randomly selected customer will have to wait between 10 minutes and 14 minutes is given as follows:

0.4772 = 47.72%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 10, \sigma = 2\)

Then the probability is given by the p-value of Z when X = 14 subtracted by the p-value of Z when X = 10.

Z = (14 - 10)/2

Z = 2

Z = 2 has a p-value of 0.9772.

Z = (10 - 10)/2

Z = 0

Z = 0 has a p-value of 0.5.

0.9772 - 0.5 = 0.4772 = 47.72%.

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Grace can buy 8 video games of price $15 each if she wants to save $120 from $240.

Grace puede comprar 8 videojuegos si quiere ahorrar $120 de $240

Pricing is the procedure of determining the value that a manufacturer will receive in the exchange of goods and services. To make the cost of the producer's products suitable for both the manufacturer and the customer, a pricing method is used. Pricing is determined by the firm's average prices as well as the consumer's estimation of an item's value in relation to that of similar goods from rival companies.

The remainder must be $12, so

(El resto debe ser $12, entonces)

240 - 120

= $120

Number of video games she could buy with $120

(Número de videojuegos que podría comprar con $120)

⇒ 120/15

= 8

Therefore, Grace can buy 8 video games if she wants to save $120 from $240.

Por lo tanto, Grace puede comprar 8 videojuegos si quiere ahorrar $120 de $240

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Translated question:

Grace has $240 in the bank. She wants to buy as many $15 video games as possible. How many video games could she buy if she wanted to keep at least $120 in the bank? help me please

Answer:

It looks like you would need 8 1/5 cups of sugar to make all 48 cookies.

Step-by-step explanation:

Well, half a dozen is 6 so I did 48 divied by 6 which is 8.

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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