3 eggs weigh 120grams total. Assume each egg weighs the same, what is the Constant of Proportionality?

Answer:

1:3

Step-by-step explanation:

Hope this helps!

Answer:

The expressions here are;

6 + 5w

3-16v

4v+ 1

7-v

Step-by-step explanation:

Here, out of the given set, we want to choose all options that are expression.

To do this, we should understand that expressions do not have the equality sign like equations

So expressions are those in the set in which we do not have an equality sign

The right answer is thus;

6 + 5w

3-16v

4v + 1

7-v

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

Answer:

Choice D

Step-by-step explanation:

Choices A and B does not imply Dilation but Translation. Though Choice C implies Dilation, but it implies that \(\triangle J'K'L'\) is half the size of \(\triangle JKL\) but we can see that \(\triangle J'K'L'\) is larger than \(\triangle JKL\) so Choice D.

The total amount spent when the 10 items are bought is $97.17.

The final temperature given the increase in temperature and the decrease in temperature is 18 degrees.

In order to determine if your friend has enough money to buy all the items, the total cost of the items have to be determined. The total cost is the sum of all the items bought.

here, we have,

Total cost = total cost of the first three items + total cost of the second three + total cost of the last three

Total cost = (3 x 15.99) + (3 x 10.40) + (4 x 4.50)

Total cost = $47.97 + $31.20 +18

Total cost = $97.17

An increase in temperature would be represented with a positive number. While, a decrease in temperature would be represented with a negative number. The final temperature can be determined by adding the temperature increase and decease together.

Final temperature = increase in temperature - decrease in temperature

Final temperature = 32 - 14 = 18 degrees

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Answer:

5/12

Step-by-step explanation:

Hello, I am no math expert so take this with a grain of salt. Tan=Opposite/Adjacent. Side ON is opposite and side MN is Adjacent. This would mean that the ration would be 5/12. I hope that helped!

Answer:

Since 5 is in most of the answers, I´m guessing that 5 is the length of the short leg. The answer is C

Step-by-step explanation:

In SohCahToa, Sine, Cos, and Tan all have a formula. Since your looking for tan, you would find the sides that are opposite and adjacent to the hypotenuse. And since tan is opposite over adjacent, it would be 5 over 12.

Sine=Opposite over Hypotenuse

Cos=Adjacent over Hypotenuse

Tan=Opposite over Adjacent

Answer:

the answer is B

Step-by-step explanation:

im not sure what else to say but my answer had to be longer

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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I) f is continuous at x=2

II) f is differentiable at x=2

These both f (function ) are true

The given limit can be recognized as the definition of the derivative of f at x=2. Specifically, it states that the derivative of f at x=2 is equal to 5.

Using this information, we can make the following conclusions:

I) We cannot say for sure whether f is continuous at x=2 based on the given limit alone. While a function being differentiable at a point implies that it is also continuous at that point, the converse is not necessarily true. Therefore, we would need additional information to determine whether f is continuous at x=2.

II) The given limit implies that f is differentiable at x=2, since the limit exists and is finite. Specifically, we can say that the derivative of f at x=2 exists and is equal to 5.

III) The given limit also implies that the derivative of f is continuous at x=2. This is because the limit defines a continuous function at x=2, and it is well-known that if a function is differentiable at a point, then it is also continuous at that point.

Therefore, the correct answers are II and III.

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Answer:

57

Step-by-step explanation:

if 1 = 123 degrees, and the angles add up to 360, then 6 would be 57. Because you would do 123 is 5 and 8, and so 246 is adding those angles. So now you have 7 and 6. 360 - 246 is 114, and since 7 and 6 are equal, just divide that by 2

ANSWER

EXPLANATION

To get to the denominator we need, we have to

The linear approximation of sin(5π/12) is approximately 0.9035.

The linear approximation of f(x) = sin(x) at x = π/3 can be found using the formula:

L(x) = f(a) + f'(a)(x-a)

where a =π/3, f(a) = sin(π/3) = √(3)/2, and f'(x) = cos(x), so f'(a) = cos(π/3) = 1/2.

Plugging these values into the formula, we get:

L(x) = √(3)/2 + (1/2)(x-π/3)

L(5π/12) can be approximated using this linear approximation:

L(5π/12) = √(3)/2 + (1/2)(5π/12 - π/3) = √(3)/2 + (1/2)(π/12)

Simplifying this expression gives:

L(5π/12) = √(3)/2 + π/24 ≈ 0.9035

Therefore, the linear approximation of sin(5π/12) is approximately 0.9035.

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Answer:

18.84

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

The journal entries to record the above transactions to calculate the profit and loss can be summarized as follows:

The journal entries for the above transactions are as follows:

1. Initial setup:

  Dr. Partner A's Capital (Equity)      $120,000

  Dr. Partner B's Capital (Equity)       $80,000

     Cr. Partnership Net Book Value         $200,000

2. Adjustment for fair value:

  Dr. Partnership Net Book Value        $20,000

     Cr. Unrealized Gain on Revaluation   $20,000

3. Investment by Partner C:

  Dr. Cash (Asset)                                $45,000

     Cr. Partner C's Capital (Equity)             $45,000

The initial setup entry reflects the original partnership net book value of $200,000. It debits Partner A's capital with 60% ($120,000) and Partner B's capital with 40% ($80,000) of the net book value.

The adjustment entry accounts for the difference between the recorded net assets' fair value ($220,000) and the net book value ($200,000). The partnership net book value is increased by $20,000, representing the unrealized gain on revaluation.

The investment entry records Partner C's acquisition of a 20% interest in the partnership capital for $45,000 cash. Cash is debited, and Partner C's capital account is credited with the investment amount.

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The function that describes the fund that was raised is 0.05³ - 30x - 12425

The revenue is  R (z) = 0.05x³ + 75

the cost = C(z) = 30x + 12,500.

Please note that the equation for revenue missed a sign in the question so I made use of the plus sign

We would have revenue - cost

Hence ( 0.05x³ + 75) - (30x + 12,500)

We would open the bracket

0.05x³ + 75 -30x -12500

We would take the like term to

0.05³ - 30x -12500 + 75

0.05³ - 30x - 12425

The function that describes the fund that was raised is 0.05³ - 30x - 12425

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Answer: F(x)=0.05x^3-30x-12,575

Step-by-step explanation:

Correct on test.

The equation of the graphed line, in slope-intercept form, is: y = -3x + 7.

To find the equation of the line that is given above, we need to find the slope of the line (m) and the y-intercept (b), then substitute the values into y = mx + b.

Find the slope:

Slope of a line (m) = change in y / change in x = rise/run

The line declines, so, the value of the slope would be negative.

Rise (change in y) = 3 units

Run (change in x) = 1 unit

Slope (m) = - (3 units/1 unit)

Slope (m) = -3

The y-intercept (b) would be the point where the line cuts the y-axis, which is: 7.

Y-intercept (b) = 7

Write the equation by substituting b = 7 and m = -3 into y = mx + b:

y = -3x + 7.

Thus, the equation, in slope-intercept form, is: y = -3x + 7.

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The correct answer is "yes; all corresponding sides are proportional and angles are congruent."

To determine if two figures are similar, we need to examine two key properties: corresponding sides and corresponding angles.

If all corresponding sides of two figures are proportional and all corresponding angles are congruent, then the figures are similar. This means that the ratios of corresponding side lengths are equal, and the corresponding angles have the same measures.

Proportional sides: For two figures to have proportional sides, the ratios of corresponding side lengths must be equal. For example, if one figure has sides of lengths 2, 4, and 6 units, and the corresponding sides of the other figure have lengths 1, 2, and 3 units, then the ratios are 2/1, 4/2, and 6/3, which are all equal to 2/1. When the corresponding sides have these equal ratios, it indicates similarity.

Congruent angles: If all corresponding angles have the same measures, then the figures are said to have congruent angles. Congruent angles have the same degree of rotation and can be matched up directly with each other.

Therefore, if both the corresponding sides are proportional and the corresponding angles are congruent, the two figures are similar. The correct answer is "yes; all corresponding sides are proportional and angles are congruent."

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Answer:

X=15

all you have to do is subtract 3 from 18 to get x

Step-by-step explanation:

3 + x = 18

x=18-3

x=15

Hope this helps

Answer:

A) 315/1005

Explanation:

Total choices: 120 + 255 + 35 + 60 + 200 + 110 + 75 + 150 = 1005

Favorable choices: 255 + 60 = 315

probability:

favorable choices/total choices

315/1005

21/67

Answer:

Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)

Step-by-step explanation:

Classification of the book in to 3

First let's assign terms to each probability

Let:

T1= total number of type of Reader's group

T2 = total number of Type of book

T3 = total number of type of Cost

Probability of child's book and cost $15= Pr(Cb) & Pr(cost $15)

Then find probability of child's book and cost separately:

Pr of child's book = Pr(Cb)

Pr(Cb) = (number of child's book)/ total number of type of group

Ncb = number of child's book

Pr(Cb) = Ncb/T1

Pr (cost $15) = $15 book/total number of cost

Pr (cost $15) = 15/T3

probability of child's book and cost $15 = Pr(Cb) × Pr (cost $15)

= Ncb/T1 × 15/T3

Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)

The average of the set of numbers 10.2, 12.5, 13.3, 15.5, 9.6, 10.7, is 11.9\(\overline{6}\)

An average is the sum of a set of values divided by the number of values sin the set. The average value, which is also known as the mean, value in descriptive statistics, is a measure of central tendency, which helps describes the values within a set of data.

Therefore, the average of the set of numbers can be found by adding the numbers together, and dividing the result by the count of the numbers as follows;

The sum of the numbers, ∑ = 10.2 + 12.5 + 13.3 + 15.5+ 9.6 + 10.7 = 71.8

The count of the set of numbers, n = 6

Therefore, the average = 71.8/6 = 11 29/30 = 11.9\(\overline{6}\)

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Answer:

just do 3.9*10000=39000

Step-by-step explanation:

Answer:

2.73 x 10^5

Step-by-step explanation: hope this helps somone :)

Answer:

X > 5

Step-by-step explanation:

-16x > -80

Divide both sides by -16

-80 / -16 = 5

x > 5

The area of the rectangle is equal to 216ft^2.

We have given that,

A flower bed is in the shape of a rectangle.

It measures 7 yards long and 3 yards wide. David wants to use a mulch to cover the flower bed.

The mulch is sold by the square foot.

A yard is equal to 3 feet.

7 yards = 7(3) = 24 feet

3 yards = 3(3) = 9 feet

What is the formula for the area of the rectangle?

Area of the rectangle=  Lw

Area of the rectangle= 24(9)

Area of the rectangle= 216 ft^2

Therefore the area of the rectangle is equal to 216ft^2.

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Answer:

71

Step-by-step explanation:

If a decimal needs to be rounded to a whole number, you need to refer to the tenths place in the decimal. In this case, that is "5" and in math, when rounding, if it is 5 or more, you round up to the next whole number. If it is 4 or less, you round down. So 70.5 rounded to the nearest whole number is 71. :)

The correct option for this question is c) approximately 68% of the students spent between $200 and $400.


Step 1: Identify the given information. The mean is $300, and the standard deviation is $50. The range is between $200 and $400.

Step 2: Calculate the number of standard deviations between the mean and each boundary. For $200, it's ($200 - $300) / $50 = -2 standard deviations. For $400, it's ($400 - $300) / $50 = 2 standard deviations.

Step 3: Since we don't have information about the shape of the distribution, we will use the Empirical Rule, which states that for a normal distribution, approximately 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations of the mean.

Step 4: In this case, we are looking at 2 standard deviations from the mean (between $200 and $400). According to the Empirical Rule, approximately 95% of the data falls within this range. However, since we don't know the exact shape of the distribution, we can't say for certain that 95% of the students spent between $200 and $400. However, we do know that at least 68% of the students would fall within 1 standard deviation of the mean. Thus, we can conclude that approximately 68% of the students spent between $200 and $400.

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The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).

Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:

FV = PV(1 + YTM)n,

where,

FV is the future value,

PV is the present value,

YTM is the yield to maturity, and

n is the number of periods.

Plugging in the given values, we get:

$7,500 = $1,500(1 + YTM)5

Simplifying this equation, we get:

5 = (1 + YTM)5/1,500

Multiplying both sides by 1,500 and taking the fifth root, we get:

1 + YTM = (5/1,500)1/5

Adding -1 to both sides, we get:

YTM = (5/1,500)1/5 - 1

Calculating this value, we get:

YTM = 0.3714 or 37.14%

Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

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Answer:

150 words

Step-by-step explanation:

1 minute = 20 words

7.5 minutes = 20 x 7.5 = 150 words

Answer:

Acceleration is 35,9. I think so

Step-by-step explanation:

v0=12m/s

v=36m/s

t=120s

a=?

a=v–v0/t,

a=36 - \(\frac{12}{120}\)

a=36-0,1

a=35,9