If the unit price of flour is $0.20 cents less than the cost of sugar, what is the total cost price for
sugar.

Answer:

C

Rewrite the equation until you end up with 4 being your slope =m

The exact length of the curve is approximately 3.000137804 units.

To find the exact length of the curve defined by the equation x = 31y(y−3), where y ranges from 1 to 4, we can use the arc length formula from calculus. The formula is given by:

L = ∫[a,b] √[1 + (dy/dx)²] dx

First, let's find dy/dx by differentiating the equation x = 31y(y−3) with respect to y:

dx/dy = 31[(y)(dy/dy) - (y-3)(dy/dy)]

= 31y - (y-3)

= 31(3)(dy/dy)

= 93(dy/dy)

Now, we can solve for dy/dy:

dx/dy = 93(dy/dy)

dy/dx = 1/93

Substituting this value into the arc length formula:

L = ∫[1,4] √[1 + (dy/dx)²] dx

= ∫[1,4] √[1 + (1/93)²] dx

= ∫[1,4] √[1 + 1/8649] dx

= ∫[1,4] √[8649/8649 + 1/8649] dx

= ∫[1,4] √[(8649 + 1)/8649] dx

= ∫[1,4] √(8650/8649) dx

= ∫[1,4] √(8650) / √(8649) dx

= √(8650/8649) ∫[1,4] dx

Now we can integrate ∫[1,4] dx:

L = √(8650/8649) [x] from 1 to 4

= √(8650/8649) (4 - 1)

= √(8650/8649) (3)

≈ 3.000137804

Therefore, the exact length of the curve is approximately 3.000137804 units.

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Step 1

State the formula for the probability of an event

The required number of event= The students with 2 or more pets= 15+7+3+2+0 = 27

Total number of events=4+11+15+7+3+2+0=42

Step 2

Estimate the probability that a randomly selected student from this class has 2 or more pets.

Answer; Option C 27/42 or approximately 0.64

The negation of the given statement is ¬(r ∨ w) which is ¬r ∧ ¬w.

Given statement: Mei will run or walk to the gym tomorrow. Propositional logic:

Step 1: r: Mei will run to the gym tomorrow. w: Mei will walk to the gym tomorrow.

Step 2: The given statement can be rewritten in the form: r ∨ w.

Step 3: The negation of the given statement is ¬(r ∨ w). Using De Morgan's Laws, we can write the negation as ¬r ∧ ¬w.

Main Part: ¬(r ∨ w)

Explanation: We know that the negation of a disjunction is the conjunction of the negations of the disjuncts. So, the negation of the given statement r ∨ w is ¬r ∧ ¬w. The negation of the given statement "Mei will run or walk to the gym tomorrow" is "Mei will not run and will not walk to the gym tomorrow."

Conclusion: Therefore, the negation of the given statement is ¬(r ∨ w) which is ¬r ∧ ¬w.

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Answer:

To find the total length of the two sides, we simply add them together:

Total length = Side 1 + Side 2

Total length = (8x^2 - 5x - 2) + (7x - x^2 + 3)

Total length = -x^2 + 8x^2 - 5x + 7x - 2 + 3

Total length = 7x^2 + 2x + 1

Therefore, the total length of the two sides of the triangle is 7x^2 + 2x + 1.

Step-by-step explanation:

To find the length of the third side of the triangle, we need to use the formula for the perimeter of a triangle:

Perimeter = Side 1 + Side 2 + Side 3

We are given the perimeter of the triangle as 4x^3 - 3x^2 + 2x - 6 and we know the lengths of Side 1 and Side 2. Therefore, we can rewrite the formula as:

4x^3 - 3x^2 + 2x - 6 = (8x^2 - 5x - 2) + (7x - x^2 + 3) + Side 3

Simplifying the right-hand side:

4x^3 - 3x^2 + 2x - 6 = 7x^2 + 2x + 1 + Side 3

Side 3 = 4x^3 - 3x^2 + 2x - 6 - 7x^2 - 2x - 1

Simplifying further:

Side 3 = 4x^3 - 7x^2 - x - 7

Therefore, the length of the third side of the triangle is 4x^3 - 7x^2 - x - 7.

Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction.

Closure under addition means that when two polynomials are added, the result is also a polynomial. In Part A, we added the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 to get the total length of the two sides of the triangle, which is 7x^2 + 2x + 1. Since the total length is also a polynomial, this shows that the polynomials are closed under addition.

Closure under subtraction means that when one polynomial is subtracted from another polynomial, the result is also a polynomial. In Part B, we subtracted the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 from the given perimeter of the triangle, 4x^3 - 3x^2 + 2x - 6, to get the length of the third side of the triangle, which is 4x^3 - 7x^2 - x - 7. Since the length of the third side is also a polynomial, this shows that the polynomials are closed under subtraction.

Therefore, the answers for Part A and Part B demonstrate that the polynomials are closed under addition and subtraction.

Answer:

Since the two angles are complementary, they add up to 90...

If we call the first one x, then the other must be 90-x...

Since they are 35 different, we write

x = (90 - x) + 35

now solve, and get

x = 90 - x + 35

x = -x + 125

2x = 125

x = 62.5 deg

the other must be

90 - 62.5 = 27.5 deg

Answer:

C) 4/3x

Step-by-step explanation:

We know it can't be a or b

If we were to use the points (0,0) and (4,3) to find the slope then we would get 4/3

Answer: B

Step-by-step explanation:

look at the squares. when the line perfectly aligns with it, it goes up 4 before crossing perfectly again.

Answer:

its 33

Step-by-step explanation:

Answer:

Step-by-step explanation:

the parallelogram will have equal distances from center to along each diagonal.  It is hard to explain with words and not being able to draw it.

So       2a+ 14 = 5a - 4     and     a = 2b

solve the frist equation for a  then the second equation for b

2a+ 14 = 5a - 4

      18 = 3a

        6 = a                        a = 2b       6 = 2b

                                                           3 = b

Answer:

no they are not equal.

Step-by-step explanation:

if x=5

7-(2x5)=7-10

7-10= -3

5-x(5-5)

5-5= 0

3÷1= 3

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer: x>- -40

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x - 40 = 20

5x = 20 + 40

5x = 60

x = 60/5

x = 12

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5(x - 8) = 20

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 12 is a solution to the equation.

Answer:

-3

Step-by-step explanation:

slopes of parallel lines are equal. this equation is in slope intercept form y=mx+b where m (the coefficient of x) is the slope. so this line has a slope of -3 which means a parallel line to this equation also has a slope of -3

Answer:

The slope will be -3

Step-by-step explanation:

y=-3x-4

The line is written in the form

y = mx+b where m is the slope

The slope is -3

Parallel lines have the same slope

Answer:

member = 15

nonmember = 55

Step-by-step explanation:

m = member, n= nonmember

1m+6n=345

2m + 2n =140 (divide all by 2 )

m + n = 70

m= 70 - n

70-n + 6n =345

70 + 5n = 345

5n = 345-70

5n = 275

n = 275÷5

n = 55

m = 70 - 55 = 15

m=15

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

91.9 ft

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

65² + 65²

4225 + 4225

Last week, the ratio of bananas sold to watermelons sold was 4 : 3.

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3.

Since there were 48 bananas sold, we can find the number of watermelons sold by subtracting 12 from 48:

48 bananas - 12 = 36 watermelons

Now, we can determine the ratio of bananas sold to watermelons sold. The ratio would be:

Bananas : Watermelons = 48 : 36

To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD), which in this case is 12:

48 ÷ 12 = 4
36 ÷ 12 = 3

So, the simplified ratio is:

4 : 3

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3. In other words, out of every 7 fruits sold (4 bananas + 3 watermelons), 4 were bananas and 3 were watermelons. This provides an easy way to understand the proportion of each type of fruit sold at Jun's fruit stand last week.

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Answer:

15

Step-by-step explanation:

We will use the Tao function for our use. If there are 4 factors of a number then Tao function has a value of 4.

According to the Tao function, (a1 + 1)(a2 + 1).....(an + 1) = 4. So, by comparison We have two cases.

Case 1: a1 + 1 = 4

So, in that case a1 = 3 and we see there are two cubes less than 50.

Case 2: a1 + 1 = 2, a2 + 1 = 2

So, a1 = 1 and a2 = 1. Thus, it's a pure multiple of linear primes. And we notice there are 13 such numbers.

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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the blue bucket holds 5 x 4 = 20 cups of water.

what is a probability?

In mathematics, probability is a measure of the likelihood or chance of an event occurring. It is represented as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.

Since 1 quart of water is equivalent to 2 pints of water and 1 pint of water is equivalent to 2 cups of water, then 1 quart of water is equivalent to 4 cups of water (2 pints x 2 cups per pint = 4 cups).

To determine which bucket holds more water, we need to know the amount of water in the other bucket. Without that information, we cannot compare the two buckets.

Assuming that Janelle filled the other bucket with water as well, we would need to know how many cups of water it holds in order to compare the two buckets.

Therefore, the blue bucket holds 5 x 4 = 20 cups of water.

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The number of words he still need to write in one of his writing sessions would be = 95 minutes.

A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.

The number of words committed for a day by Nick = 500 words.

He writes 120 words = 30 mins

The total number of words remaining = 500 - 120 = 380 words.

Therefore the time it will take to finish the remaining 380 words in the day = X mins.

If 30 mins= 120 words

X mins = 380 words.

Make X mins the subject of formula;

X mins = 380× 30/120

X mins = 11,400/120

X mins= 95 minutes.

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The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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Based on the information given, it can be deduced that the number of pieces will be 8 pieces.

From the information given, it was stated that a landscaper is cutting a 24 1/8-foot rope into pieces to make fences and that the length of each piece is 3 1/5 feet.

Therefore, the number of pieces will be 24 1/8 divided by 3 1/5. This will be:

= 24.125 / 3.2

= 7.53

= 8 pieces.

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The value of the integral is \(&\frac{1}{4} \ln |x|+\frac{9}{8} \ln |x+2|+\frac{11}{8} \ln |x-2|+C\).

Here, we have,

Let us use the method of partial fractions to integrate the following integral:

\(\[\int\frac{2x^2-x-1}{x^3-4x}dx\]\)

Partial fraction decomposition is a method of rewriting a fraction so that it is easier to integrate.

To do so, we need to rewrite the denominator.

So, let us begin with that.

\(\[x^3-4x=x(x^2-4)=x(x+2)(x-2)\]\)

Thus, we can write the given fraction as follows:

\(\[\frac{2x^2-x-1}{x(x+2)(x-2)}\)

\(=\frac{A}{x}+\frac{B}{x+2}+\frac{C}{x-2}\]\)

Next, we multiply both sides of the equation by the common denominator, to get:

\(\[2x^2-x-1=A(x+2)(x-2)+Bx(x-2)+C(x)(x+2)\]\)

Let us now substitute values of x in the above equation so that we can determine the values of A, B, and C.

We can substitute x = 0, x = -2, and x = 2, as they make the other terms in the equation equal to zero as well.

Substituting This reduces to: \(\[-1=-4A\]\)

Thus, we can find A as follows: \(\[A=\frac{1}{4}\]\)

Substituting \(x = -2,\[2(-2)^2-(-2)-1\)

\(=A(-2+2)(-2-2)+B(-2)(-2-2)+C(-2)(-2+2)\]\)

This reduces to :\(\[9=8B\]\)

Thus, we can find B as follows:

\(\[B=\frac{9}{8}\]\)

Substituting \(x = 2,\[2(2)^2-(2)-1=A(2+2)(2-2)+B(2)(2-2)+C(2)(2+2)\]\)

This reduces to:\(\[11=8C\]\)

Thus, we can find C as follows:\(\[C=\frac{11}{8}\]\)

Thus, we can now integrate the given fraction by substituting the values of A, B, and C as we have found:

\(\int \frac{2 x^{2}-x-1}{x^{3}-4 x} d x\)

\(=\frac{1}{4} \int \frac{1}{x} d x+\frac{9}{8} \int \frac{1}{x+2} d x+\frac{11}{8} \int \frac{1}{x-2} d x \\ &\)

\(=\frac{1}{4} \ln |x|+\frac{9}{8} \ln |x+2|+\frac{11}{8} \ln |x-2|+C \end{aligned}\]\)

Therefore, the value of the integral is \(&\frac{1}{4} \ln |x|+\frac{9}{8} \ln |x+2|+\frac{11}{8} \ln |x-2|+C\).

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complete question:

Find the value of the integral:

\(\[\int\frac{2x^2-x-1}{x^3-4x}dx\]\)

Answer: y = 1x + 4.

Step-by-step explanation:

don't know what's this

hope you are fine

mark me brainliest

Answer:

1. 1.0044 x 10^-5 n

3. 9.28 x 10^-11

5. 4.757 x 10^-10

7. 3550000/41

^ = the power of

Answer:

1 question answer 10.044x20 steps 1.08x10*9.3x10  1.08*x10*9.3*x10

(1.08*9.3)*(x10*x10).  question 2 answer 9.28x20 steps 2.32x10*4x10

2.32*x10*4*x10

(2.32*4)*(x10*x10)

Step-by-step explanation:

Answer:

5. 37.065 square centimeters

6. 241 square centimeters

Step-by-step explanation:

5. First, separate the figure into shapes you can find the areas of. This first figure can be represented by two rectangles and one quarter circle.

The two rectangles can be found using a = bh, or 5x3! Both of the rectangles' areas are equal to 30cm.

The circle's area can be found using a = pi(r^2). r stands for radius, which can be represented by 3cm. The area of a whole circle with a radius of 3 is 28.26 cm. Because it is a quarter circle, however, we can divide this value by four to get an area of 7.065cm.

If you add them all together, you get an area of 37.065.

6. First, separate the figure into shapes you recognize. This one can be separated into one triangle and one rhombus.

You can find the area of the triangle using the formula: a = 1/2bh. This gets you an area of 88cm.

The rhombus can be found using the formula: a = 1/2(b1+b2)h. Essentially, you find the average of the two bases and multiply it by the height! This gets you an area of 153cm.

Now, simply add the two areas together and you get an area of 241cm!

The right Riemann sum for arctan(1 + xdx) is Σ[arctan(1 + iΔx)]Δx, where i ranges from 1 to n and Δx is the width of each subinterval. The correct answer among the options provided is (arctan(1 + Δx) + arctan(1 + 2Δx) + ... + arctan(1 + nΔx))Δx.

In a right Riemann sum, the function is evaluated at the right endpoint of each subinterval. Therefore, we add up the values of arctan(1 + iΔx) at the endpoints of the subintervals, where i ranges from 1 to n. The width of each subinterval is Δx, so we multiply the sum by Δx to get the approximate value of the integral.

The provided expression (arctan(1 + Δx) + arctan(1 + 2Δx) + ... + arctan(1 + nΔx))Δx satisfies the conditions of a right Riemann sum, where the function is evaluated at the right endpoint of each subinterval. Therefore, this is the correct option among the given choices.

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