A container ship left port last week carrying some goods that weighed a total of 60,010 tons. Today, it stopped in another port to unload. The weight of the goods on the ship is now 30,005 tons. By what percent has the weight of the goods on the ship decreased?

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

Learn more about high temperature here:-

https://brainly.com/question/28708675

#SPJ11

Answer:

0.786 liters

Step-by-step explanation:

Answer:

0.786 liters

Step-by-step explanation:

There is 1000 milliliters in a liter. (I'm assuming you meant milliliters instead of millimeters? Otherwise they are not compatible)

milliliters : liter

  1000    :    1

   786      : 0.786

Answer:

ST = 2.6

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{ST}{PQ}\) = \(\frac{SU}{PR}\) ( substitute values )

\(\frac{ST}{18}\) = \(\frac{5.2}{36}\) ( cross- multiply )

36 × ST = 18 × 5.2 = 93.6 ( divide both sides by 36 )

ST = 2.6

P + 127 = 550        P = 423

Answer:

P = 423  

P + 127 = 550

Step-by-step explanation:

\(\\ \tt\hookrightarrow Perimeter \)

\(\\ \tt\hookrightarrow 15+4+7+10\)

\(\\ \tt\hookrightarrow 19+17\)

\(\\ \tt\hookrightarrow 36km\)

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

The potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y' is \frac{y^2}{2}+6x^2y-2xy.

To find the potential function, we need to integrate the first term with respect to y and the second term with respect to x. This gives us:

\int\frac{y}{x}dy = \frac{y^2}{2}+C_1

\int 6xy dx = 3x^2y+C_2

We can then combine these two integrals to get the potential function:

\frac{y^2}{2}+3x^2y+C_1+C_2

Since we are looking for a potential function, we can ignore the constants and just focus on the terms with variables. This gives us:

\frac{y^2}{2}+3x^2y

We can also simplify this by factoring out a y:

y(\frac{y}{2}+3x^2)

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

Learn more about Potential function

brainly.com/question/28156550

#SPJ11

The measure of h is 23.2 degree.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given:

m∠WUV = 36°.

m∠UVW = (5h − 68)°,

m∠AWB = (5h − 20)°.

Now,

<UWV = <AWB (vertically opposite angle)

<UWV = 5h -20

Now, In triangle UVW applying angle sum property

<UVW + <UWV+ <WUV = 180

36 + 5h- 68 + 5h -20 = 180

10 h = 180 +52

10h= 232

h= 232/10

h = 23.2

Hence, the measure of h is 23.2 degree

Learn more about angle sum property here:

https://brainly.com/question/11806229

#SPJ2

Answer:

The answer for the flvs test is 22.4 for this question their is no 23.2 on the test.

Step-by-step explanation: Good Luck with the rest.

Hey there! :)

Answer:

$10 balcony

$15 orchestra

Step-by-step explanation:

We can solve for the prices of each seat by creating an algebraic expression:

Let 'x' be the cost of a balcony seat:

and 'x + 5' be the cost of an orchestra seat.

200 of both seats were sold, therefore:

200(x) + 200(x + 5) = 5000

Distribute:

200x + 200x + 1000 = 5000

Combine like terms:

400x + 1000 = 5000

Subtract 1000 from both sides:

400x = 4000

Divide:

x = $10 for the balcony seat.

Substitute this value of x to solve for the cost of an orchestra seat:

(10) + 5 = $15.

Therefore:

$10 balcony

$15 orchestra

Answer: -0.5

Step-by-step explanation: screenshot

Answer:

-0.2

Step-by-step explanation:

So the Equation is -1.4=0.6y-1.1, so to get the variable by itself, you would need to add 1.1 to both sides. Leaving you with -0.3=0.6y. so divide each side by -0.3. Leaving you with -0.2 hope this helps :)

Answer:

x  =  1

Step-by-step explanation:

The method that is used is distributive property.

The property that terms in an expression may be expanded in a particular way to form an equivalent expression.

Simplifying

5(2x + -8) + 15 = -15

Reorder the terms:

5(-8 + 2x) + 15 = -15

(-8 * 5 + 2x * 5) + 15 = -15

(-40 + 10x) + 15 = -15

Reorder the terms:

-40 + 15 + 10x = -15

Combine like terms: -40 + 15 = -25

-25 + 10x = -15

Solving

-25 + 10x = -15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side of the equation.

-25 + 25 + 10x = -15 + 25

Combine like terms: -25 + 25 = 0

0 + 10x = -15 + 25

10x = -15 + 25

Combine like terms: -15 + 25 = 10

10x = 10

Divide each side by '10'.

x = 1

Simplifying

x = 1

Answer:

\(\frac{40}{100}\)

Step-by-step explanation:

You can multiply on the upper and bottom part by the same number without changing the fraction so \(\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}\)

Step-by-step explanation:

Area of Trapezium=1/2 (a+b)h =>

1/2(4.8+5.2)h=15 => h=15/5 =3 cm Ans

Area of trapezium = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

A = 1/2 h(a+b)

150 = 1/2 h(4.8+5.2)

150 = 5h

h = 30 cm

Answer - perpendicular height of the trapezium is 30 Cm

Answer:

a₈ = 39366

Step-by-step explanation:

The terms have a common ratio between consecutive terms

r = 54 ÷ 18 = 162 ÷ 54 = 3

This indicates the sequence is geometric with nth term

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = 18 and r = 3 , then

a₈ = 18 × \(3^{7}\) = 18 × 2187 = 39366

Answer:

x= -7-11

x=-18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: B is a linear equation.

The First step in adding and subtracting the rational expression is making the denominator equal .

The Rational Expression is defined as the expression that is written in the p/q form , where q ≠ 0 .

Let us understand adding and subtracting of the rational expression by an Example .

For Example : add the rational expressions 2/3 and 1/4 .

The First Step in adding them is to make the denominator equal ,

to make the denominator equal , we take LCM ,

the LCM of 3 and 4 is 12 ,

the rational expression become ⇒ 8/12 and 3/12 .

On adding , we get ; (8 + 3)/12 = 11/12 .

On subtracting , we get ; (8 - 3)/12 = 5/12 .

Therefore , making the denominator equal is the first step for adding and subtracting rational expressions .

Learn more about Rational Expressions here

https://brainly.com/question/11620748

#SPJ4

Answer:

y = 3(x+7/6)² - 25/12

Step-by-step explanation:

The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.

The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.

To learn more about y-intercept, click here:

brainly.com/question/14180189

#SPJ4

According to the experiments initiated by Serge Moscovici in Paris, it is true that "when a minority consistently doubts the majority wisdom, majority members become free to express their own doubts". Option C is correct.

This is because consistent doubt by the minority causes the majority to engage in more critical thinking and reevaluate their own beliefs, leading to greater openness to alternative perspectives and increased potential for change. Moscovici found that a minority that wavers is less influential because it is seen as uncertain and unstable, while a majority that conveys self-confidence can reinforce the status quo and discourage alternative viewpoints.

Additionally, while majority influence often stimulates deeper processing of arguments, minority influence triggers a more superficial, automatic form of agreement, as individuals conform to the minority to avoid social discomfort or disapproval.

Option C holds true.

Learn more about Serge Moscovici https://brainly.com/question/29835330

#SPJ11

According to the experiments initiated by Serge Moscovici in Paris "When a minority consistently doubts the majority wisdom, majority members become free to express their own doubts." The correct option for the given question is option C.

Minority influence is a social psychological phenomenon that occurs when a minority of members within a group affects the behavior or beliefs of the majority group members. Serge Moscovici initiated some experiments in Paris on the determinants of minority influence.

According to the experiments initiated by Serge Moscovici in Paris, the following is true of the determinants of minority influence: When a minority consistently doubts the majority's wisdom, majority members become free to express their own doubts. Thus, Option C is the correct answer.

You can learn more about Minority influence at

https://brainly.com/question/29526727

#SPJ11

The difference quotient of the function f(x) = x - 6 is 1. The difference quotient measures the rate of change of a function at a specific point and is calculated by finding the expression (f(x + h) - f(x)) / h. In this case, after simplifying the expression, we find that the difference quotient is equal to 1.

The difference quotient measures the rate of change of a function at a specific point. To find the difference quotient of the function f(x) = x - 6, we need to calculate the expression (f(x + h) - f(x)) / h.

Substituting the function f(x) = x - 6 into the expression, we have:

(f(x + h) - f(x)) / h = ((x + h) - 6 - (x - 6)) / h

Simplifying the expression within the numerator:

(f(x + h) - f(x)) / h = (x + h - 6 - x + 6) / h

The x and -x terms cancel each other out, as well as the -6 and +6 terms:

(f(x + h) - f(x)) / h = h / h

The h terms cancel out, resulting in:

(f(x + h) - f(x)) / h = 1

Therefore, the difference quotient of the function f(x) = x - 6 is 1.

To know more about function refer here

brainly.com/question/31062578

#SPJ11

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).

Read more on Functions here: https://brainly.com/question/29890699

#SPJ11

The value of C3 is -1 (to two decimal places) in the given orthonormal basis B, where v = c1b1 + c2b2 + c3b3.

We know that v = c1b1 + c2b2 + c3b3, where v = [1, V2, -1] and B = (b1, b2, b3) is an orthonormal basis of R^3.

Therefore, we have:

c1b1 + c2b2 + c3b3 = [1, V2, -1]

Taking the dot product of both sides with b3, we get:

(c1b1 + c2b2 + c3b3) · b3 = [1, V2, -1] · b3

Since B is an orthonormal basis, we have:

b1 · b3 = 0

b2 · b3 = 0

b3 · b3 = 1

Therefore, the above equation simplifies to:

c3 = [1, V2, -1] · b3 = (1)(0) + (V2)(0) + (-1)(1) = -1

Hence, C3 = -1 (to two decimal places).

By using orthonormal basis, The value of C3 is equal to -1 (upto two decimal place).

To know more about orthonormal basis:

https://brainly.com/question/30218173

#SPJ4

_____The given question is incorrect, the correct question is given below:

Orthonormal basis Let B := (bi, b2, bz) be an orthonormal basis of R3 such that 1 b3 V2 -1 0 Let 1 v= and let C1, C2, C3 be scalars such that v = cibi + c2b2 + c3b3. What is C3 ? C3 = number (2 digits after decimal)

Answer

i=2

Step-by-step explanation:

i+i+i+i=8

4i=8

i=8/4

i=2

=========================================================

Explanation:

Place a decimal point between the first two digits 3 and 7.

Now ask yourself how you can go from 3.7 back to the original value. Notice we can move the decimal point 6 spots to the right to go from 3.7 back to 3,700,000

Therefore, the exponent over the 10 is 6. The exponent is positive to mean we move the decimal point to the right. If we had a negative exponent, then we'd move left.

You can use a calculator to confirm that 3.7 * 10^6 = 3,700,000

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

Side notes:

3,700,000 = 3 million, 7 hundred thousand

3,700,000 = 3.7 million

The value of v will be - 6.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Slope of line = - 8

And, Line is passes through the points (8, v) and (6, 10).

Now,

Since, The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is defined as;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, The slope of the line passing through the points (8, v) and (6, 10) is;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (10 - v) / (6 - 8)

⇒ m = (10 - v) / (-2)

Since, Slope of line (m) = - 8

We get;

⇒ m = (10 - v) / (-2)

⇒ - 8 = (10 - v) / (-2)

Multiply by - 2, we get;

⇒ - 8 x - 2 = 10 - v

⇒ 16 = 10 - v

Add v both side;

⇒ 16 + v = 10

Subtract 16 both side, we get;

⇒ v = - 6

Thus, The value of v will be - 6.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Step-by-step explanation:

1.y=x/5 +3p

y= x/5+ 3p/1

LCM=5

y= x+ 15p/5

5y=x + 15p

5y-15p = x

x=5y-15p

\(\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_b(3)=a\hspace{5em}\log_b(2)=c \\\\[-0.35em] ~\dotfill\\\\ \log_b(6)\implies \log_b(2\cdot 3)\implies \log_b(2)+\log_b(3)\implies c+a\)

1. We can use the sine law since we have two angles and one of the angles had the side opposite it.

2. We can use the sine law because we have two angles, we can find the third angle in the triangle. This means we have all three angles. We now have two angles and one of the angles has the side opposite it.

3. We have a right triangle. We could use the sine law because we have the right angle and the hypotense. We have two sides and one angle.

4. We have two sides and the included angle. We cannot use the sine law. We would have to use the law of cosines to solve this problem.

Answer:

-$83

Step-by-step explanation:

Create an equation to model Nina's balance.

\(40-63+80-140=-83\)