Eight girls share 5 fruit bars equally. What
fraction of a fruit bar does each girl get?

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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The value of x for the given vertically opposite angles will be 16.

The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.

Given that two lines intersect at point P If the measures of a pair of vertical angles are (3x−1)° and (2x+15)°.

The value of x will be calculated as:-

2x + 15 = 3x - 1

3x - 2x = 15 + 1

x = 16

Therefore, the value of x for the given vertically opposite angles will be 16.

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Answer:

The side lengths is:

a = 5√2 or 7.07 units

Step-by-step explanation:

The diagram is attached below.

From the diagram, it is clear that we're dealing with a square, so all side lengths of the square would measure the same length.

Moreover, the angles B and D are right, thus we need to use the Pythagorean theorem to find the value of 'a'.

Here, a and b are the right containing sides

As a and b are equal, we consider them as 'a'.

Also, 'c' is the hypotenuse.

Hence,

The diagonal is the Hypotenuse  'c'.

so

a²+a² = 10²

2a² = 100

a² = 50

a = √50

a = 5√2             ∵√50=√25×2=5√2

a = 7.07 units

Therefore, the side lengths is:

a = 5√2 or 7.07 units

Answer:

19.021

Step-by-step explanation:

The number of sig figs in 19.029 is 5 and the number of sig figs in 0.00801 is 5. Hence, the answer should be in 5 sig figs. The correct answer is 19.02099, but when rounded, it is 19.021.

Answer:

Using z score formula:

X = z ∂ + µ

 = 157.833

Step-by-step explanation:

Solution:

Mean = µ = 1262

Standard deviation = ∂ = 117

(a) 28th percentile for the number of chocolate chip.

P( z < z) = 28%

             = 0.28

P( z<- 0.58)  = 0.28

Z = -0.58

By using z score formula:

Z = x - µ /∂

-0.58= x – 117 / 1262

X = (- 0.58)(117) + (1262)

 =  1194.14

(b) Middle 97% of bag.

P(-z < z < z) = 97%

                    = 0.97

P( z < z) – p(z < -z) = 0.97

2p(z < z) -1 = 0.97

2p (z < z) = 1 + 0.97

P(z < z) = 1.97 / 2

            = 0.99

P(z < 2.33) = 0.99

Z ± 2.33

By using z score formula:

Z = x - µ / ∂

X = z ∂ + µ

  = - 2.33 x 117 + 1262

  =989.39

Z = 2.33

X = z ∂ + µ

  =  2.33 x 117 + 1262

 =1533.61

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.

By using standard normal table,

The z dist’n formula:

P(z < z ) = 25%

            =0.25

P(z < -0.6745) = 0.25

Z = 0.6745

Using z score formula:

X = z∂ + µ

   = - 0.6745 x 117 + 1262

  = 1183.0835

First quartile = Q1 =1183.0835

The third quartile is:

P(z<z) = 75%

    = 0.75

P(z < 0.6745) = 0.75

Z = 0.6745

Using z score formula:

X = z ∂ + µ

  = 0.6745 x 117 + 1262

= 1340.9165

IQR = Q3 – Q1

     = 1340.9165 – 1183.0835

  = 157.833

Answer:

it is b

Step-by-step explanation:

Answer:

41.93 degrees

Step-by-step explanation:

Answer:

4 units

Step-by-step explanation:

Since, M is between points C and Q, i. e. C - M - Q.

Therefore, CM + MQ = CQ

Therefore, 17 + MQ = 21

MQ = 21 - 17

MQ = 4

Answer:

M is between points C and Q. CM=17 and CQ=21.

What is MQ?

MQ= is 4, the same as on k12

Step-by-step explanation:

Answer:

Whats the question?

Answer:

Step-by-step explanation:

The better buy is the one where you get more area of pizza per dollar (area/price).

Since the problem gives diameter, we assume the pizzas are circle-shaped.

Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.

*************************************************************************************

Pizza 1: d = 8 and price is $10

r = 1/2 x d = 4

Area of Pizza 1 = πr² = π(4)² = 16π

*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar

**********************************************************************************

Pizza 2: d = 14 and price is $16

r = 1/2 x d = 7

Area of Pizza 2 = πr² = π(7)² = 49π

*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar

***********************************************************************************

Pizza 2 is the better buy, with more pizza per dollar.

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

(f + g)(x) = f(x) + g(x)

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

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Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

35

Step-by-step explanation:

Answer:

False. The center of a semisimple Lie algebra is usually not trivial.

Step-by-step explanation:

The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.

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Answer:

$14.44

Step-by-step explanation:

I'm pretty sure it's 14.44 because It says only the sales tax not the whole price together so you would take 8% turn it into .08 and multiply 180.50 by .08 and get 14.44 which is the sales tax. And if you were looking for the total it would be 194.94 but that's not what this question is asking(:

Answer:

The sum is 10 times 11Step-by-step explanation:

Answer:

I just put it into my calculator, but if you don't have one here's how to solve this by hand.

First, figure out what 4 3/10 is. Once you figured that out, you should've gotten 43/10 = 4 3/10. Next do 3 6/10, you should get 18/5 = 3 6/10. This may seem like a useless part but it can help if you have a different learning method or thinking than others. How I found the 43/10 and 18/10 was that if you add the whole number and denominator and add the numerator then you get your sum fraction(s). 43/10 and 18/5.

Since both the original fractions above have a denominator of 10, the final sum will also have a denominator of 10. If you take your calculator and put in 43/10 + 18/5 and hit the = button, you should get 79/10 = 7 9/10.  

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

The length of the paper should be taken as the average of the two measurements, which is l = (298 + 294) / 2 = 296 mm.

The uncertainty in the length measurement can be estimated as half of the difference between the two measurements, which is δl = (298 - 294) / 2 = 2 mm. So, the value for l and δl can be expressed as l ± δl = 296 ± 2 mm.

Since the two measurements of the width both give the same value of 210 mm, we can assume that the width measurement has no uncertainty. The value for w and δw can be expressed as w ± δw = 210 ± 0 mm.

The area of the paper can be calculated as A = w × l = 210 × 296 = 62040 mm^2.

The uncertainty in the area can be estimated as the product of the uncertainties in the length and width measurements, which is δA = δw × l + w × δl = 0 × 296 + 210 × 2 = 420 mm^2. So, the area and its uncertainty can be expressed as A ± δA = 62040 ± 420 mm^2.

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Answer:

The composite figure is made up of a rectangular prism on top of a rectangular prism.

Step-by-step explanation:

The figure on top is a rectangular prism.  It is a 6 sided figure with each side a rectangle.  The figure on bottom is also a rectangular prism.  It is a 6 sided figure with each side a rectangle.

The surface area of the solid formed is approximately, 598.3 in².

Surface area of the solid is the area covered by the solid all round.

The given parameters are:

Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²

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Answer:

\(( - 2) + ( - 1) + ( - 5) + ( + 6) \\ = - 2 - 1 - 5 + 6 \\ = - 8 + 6 \\ = - 2 \\ thank \: you\)

Answer:

r=8cm/2=4cm

using Pythagoras theorem.

(Slant height)²=radius²+height²

slant height²=(4cm)²+(9cm)²

s²=16cm²+81cm²

s²=97cm²

s=(97cm²)⁰'⁵

s=9.8cm

hope it was helpful.

the slant height is 9.8cm

Since there were 36 games played in the state wide soccer co

Answer:

Step-by-step explanation:

It is clear from your answer to the second part that you know the A→B scale factor is the reciprocal of the B→A scale factor. Use that fact for the other two parts of the question.

__

It is convenient to find a unit length (or the smallest length) on the smaller figure, then see how much that is multiplied by to get the larger figure.

Once you have these ratios, you need to determine what the notation A→B is supposed to mean. Here, we presume it means B/A.