At the beginning of a baking session, there were 2.26 kilograms of four in the bag. By the end of the baking session, there was 0.98 kilogram of four in the bag. What is the percent of decrease in the amount of flour? Round the percent to the nearest tenth if necessary.

The value of the integral is -7.

Find the integral value?

To find the value of the integral ∫C \((-16x^2yz dx + 25z dy + 2xy dz)\), where C is the curve parameterized by r(t) = (t, t^2, t^3) on the interval [1, 2], we need to substitute the parameterized curve into the integral.

First, let's find the differentials dx, dy, and dz:

\(dx = dtdy = 2t dtdz = 3t^2 dt\)

Substituting these differentials into the integral:

\(\int C (-16x^2yz dx + 25z dy + 2xy dz)\\= \int[1, 2] (-16(t^2)(t^2)(t^3) dt + 25(t^3) (2t dt) + 2(t)(t^2) (3t^2 dt))\)

Simplifying the expression:

\(= \int[1, 2] (-16t^7 dt + 50t^4 dt + 6t^5 dt)\)

Now, integrate term by term:

\(\int [1, 2] (-16t^7 dt + 50t^4 dt + 6t^5 dt)\\= [-16 * (t^8)/8 + 50 * (t^5)/5 + 6 * (t^6)/6] [1, 2]\\= [-2t^8 + 10t^5 + t^6] [1, 2]\\= (-2(2^8) + 10(2^5) + (2^6)) - (-2(1^8) + 10(1^5) + (1^6))\\= (-512 + 320 + 64) - (-2 + 10 + 1)\\= -128 + 128 - 7\\= -7\)

Therefore, the value of the integral \(-16x^2yz dx + 25z dy + 2xy dz\) over the curve C parameterized by r(t) = (\(t, t^2, t^3\)) on the interval [1, 2] is -7.

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Answer:

90

Step-by-step explanation:

50+20+20=90

pls vote me brainliest i need the points.

Answer:

Step-by-step explanation:

\(18\: girls \\ 27 \:boys\\\\Girls\:: Boys\\18 \: \:\:\:\:\:\:: 27\\\\Use\:3\:to\:divide\:through\\6:9 = 2:3\\\)

Answer:

The length of a line segment AB is 2 units.

Susan is deciding between two membership plans at a neighborhood pool club. Plan A has a $100 sign-up fee and $2 per pool use, while Plan B has no sign-up fee but charges $5.25 per pool use.

Susan is considering two membership plans offered by a neighborhood pool club. In Plan A, she would need to pay a seasonal sign-up fee of $100 and an additional $2 each time she uses the pool. Plan B, on the other hand, does not require a sign-up fee but charges $5.25 for each pool use. To determine which plan is best for her, Susan needs to evaluate her anticipated pool usage. If she plans to use the pool frequently, Plan B might be more cost-effective, as the absence of a sign-up fee offsets the higher per-use charge. However, if Susan expects to use the pool infrequently, Plan A with its lower per-use charge could be a better option. Ultimately, Susan's decision should depend on her estimated pool usage and financial considerations.

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Answer: Answer= 480a^2

Step-by-step explanation

1. remove the parentheses =-16a*10*3a

2. Multiply the numbers 16*10*3= 480

3. Apply exponent rule =aa=a^1+^1  = -480a^1+^1

Answer= 480a^2

The value of y when x=36 is 31/3.

According to the question,

x varies directly with 3y+5

Thus,

\(x = k(3y+5)\)

where K is any positive integer.

Now, from the question,

y=5/3 when x=10

Thus,

\(10 = k(3(\frac{5}{3} )+5)\\10 = k(10)\\k = 1\)

Now we can use k to find the value of y when x=36:

\(36 = 1(3y+5)\\31 = 3y\\y = \frac{31}{3}\)

In mathematics, an integer is a whole number that can be positive, negative, or zero. Integers are a fundamental concept in number theory and are used in a variety of applications across many fields. Integers can be represented using the symbol "Z" and are denoted by an integer value like -3, 0, 1, 2, 3, etc. They are used to count and measure quantities in real-life situations, such as the number of apples in a basket or the distance between two cities.

Integers are closed under addition, subtraction, and multiplication, meaning that if you add, subtract, or multiply any two integers, the result will also be an integer. However, the division is not always closed under integers, as dividing by zero is undefined, and dividing two integers can result in a non-integer value.

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Complete Question:

If x varies directly with 3y+5 and y=5/3 when x=10, then what is the value of y when x=36

Supercomputers are the most powerful computers at any given time, but are built especially for assignments that require arithmetic speed.

The supercomputers, which are the most advanced and high-performance computers available, are specifically constructed to handle assignments that demand rapid arithmetic processing.

These machines are optimized for executing complex mathematical operations and simulations, enabling them to tackle problems that require immense computational power.

By harnessing parallel processing, massive memory capacities, and specialized architectures, supercomputers excel in solving scientific, engineering, and research challenges that necessitate exceptional arithmetic speed.

Their capabilities contribute to advancements in various fields, including weather forecasting, molecular modeling, astrophysics, and cryptography.

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To find the multiplicative inverse or reciprocal of a complex number a+bi, we take its complex conjugate, which is a-bi, and divide it by the squared magnitude of the original number. Multiplying the reciprocal by the original number should give us a result of 1.

To find the multiplicative inverse of a complex number a+bi, we follow these steps:

1. Take the complex conjugate of the original number, which is a-bi.

2. Divide the conjugate by the squared magnitude of the original number, which is (a² + b²).

The reciprocal of the complex number a+bi is (a-bi)/(a²+b²).

To check if the answer is correct, we multiply the reciprocal by the original number. The result should be 1.

By following these steps, we can find the multiplicative inverse of any complex number and verify its correctness by performing the multiplication.

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Answer:

Step-by-step explanation:

Simplify 10−7 to 3

3,13.−4−7

simplify 13.- 4 13. - 4

3,13.−11

Answer:

13p=26

Step-by-step explanation:

You have the starting price 13 and the ending price 26 and you're trying to find the amount of pizzas brought which is p. so 13xP=26 or 13p=26

Answer:

471

Step-by-step explanation:

741-270=471

a. The necessary assumptions are the population variances are equal and combine the two sample variances into one.

b. The null and alternative hypotheses are defined.

c. The sample sizes are equal, and the sample standard deviations are approximately equal, we can safely assume equal variances and pool the sample variances.

d. The value of test statistic is 3.15 and p value is 0.05.

e. The mean diameter of bearings from machine 2 is greater than that of machine 1 at a 5% level of significance.

To begin the hypothesis test, the manager needs to state the null and alternative hypotheses. The null hypothesis (H0) is the statement of "no difference" between the mean diameters of bearings from the two machines. The alternative hypothesis (Ha) is the statement that the mean diameter of bearings from machine 2 is greater than that of machine 1.

In symbols,

H0: μ1 = μ2 (where μ1 is the mean diameter of machine 1 and μ2 is the mean diameter of machine 2) and

Ha: μ2 > μ1.

Before conducting the hypothesis test, we need to check some assumptions.

The next step is to calculate the test statistic and p-value. We use a t-test to compare the means of two independent samples. The test statistic is calculated as:

t = (x₁ - x₂) / [s_p x √(2/n)]

where x₁ and x₂ are the sample means, s_p is the pooled standard deviation, and n is the sample size.

Plugging in the numbers, we get:

t = (3.355 - 3.302) / [0.050 x √(2/50)] = 3.15

Using a t-distribution table with 98 degrees of freedom (n₁ + n₂-2), we find that the p-value associated with a t-value of 3.15 is less than 0.01.

Finally, we need to state our conclusion based on the p-value. Since the p-value is less than our significance level of 0.05, we reject the null hypothesis.

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The expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).

Which expression is equivalent to log18 – log(p +2)?

Equation; \(\rm log18 - log(p +2)\)

\(\rm log(x) - log(y) = log \left(\dfrac{x}{y} \right )\)

By applying the property in the given equation;

\(\rm = log18 - log(p +2)\\ \\ = log \left ( \dfrac{18}{p+2} \right )\)

Hence, the expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).

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If we add 2.75 to the product of 4.0 and 0.25 then the value id 3.8

We have to find the value by adding  2.75 to the product of 4.0 and 0.25

The product of 4.0 and 0.25 is 1.0

4.0 × 0.25 = 1.0

Add 2.75 to the product of 4.0 and 0.25

2.75+1=3.75

Which is equal to 3.8

Therefore, if we add 2.75 to the product of 4.0 and 0.25 then the value id 3.8

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

55 inches = 4 feet 7 inches

Step-by-step explanation:

Because Michael is 5 inches taller so 50+5=55, then divided by 12 = 4 remainder 7. So that means Michael is 55 inches tall, or 4 feet and 7 inches

Answer:

A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.

Step-by-step explanation:

Answer:

law is federal

Step-by-step explanation:

ik

Answer:

d=-2/3f+7

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

He is  2√19 miles far way from starting point.

Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.

If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles

It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles  eastward and 3√ 3 miles northward.

By the Pythagorean Theorem, the distance from his starting point is q:

(7)2 + (3√3)2

=√49 + 27

= √76

= 2√19 .

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Answer:

e=-2

Step-by-step explanation:

9e-7e=-11+7

2e=-4

e=-2

Answer:

angle 5 is vertical to 2

Step-by-step explanation:

Vertical angles are pair angles formed when two lines intersect.

Answer: <5

Step-by-step explanation:

Answer:

D!!

Step-by-step explanation:

Answer: 52/5

(Decimal: 10.4)

Step-by-step explanation:

13/5/1/4

=13/5/1/4

=(13/5)(4/1)

=(13)(4)/(5)(1)

=52/5

Answer:

in the photo. hope this helps ^^

The expected value for this game is $0.80.

The expected value for this game is calculated using  the formula below:

Data given:

If you pull a green candy you will have to pay them $1.00 and there is a 0.4 probability that you pull a green candy

If you pull a red candy you will have to pay them $2.00 and there is a 0.6 probability that you pull a red candy.

Expected value = (0.6 * $2.00) + (0.4 * -$1.00)

Expected value  = $1.20 - $0.40

Expected value = $0.80

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Answer: 3/2

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that Y'X'=3 and YX=2, so the scale factor is 3/2.

Answer:

D

Step-by-step explanation:

The pattern is clear

4x+10 in which x is how ever many games are rented at once. So, 4(1)+10 = 14

Same for 3x+15