During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 88 centimeters in 8 days, what is the water level increase rate in centimeters per day?

the rate is usually the number in the parentheses in an exponential function, now the tell-tale piece is that, if the rate is less than 1, we have a Decay expression, and if the rate is more than 1, then is Growth.

well, let's see 0.365 is less than 1, so it's Decay.

\(\qquad \textit{Amount for Exponential Decay} \\\\ y=P(1 - r)^t\qquad \begin{cases} y=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3100\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ y = 3100(\stackrel{\stackrel{0.365}{\downarrow }}{1-\frac{r}{100}})^t\qquad \textit{this means that }\qquad 1-\cfrac{r}{100}=0.365 \\\\\\ -\cfrac{r}{100}=-0.635\implies r=(-100)(-0.635)\implies r=\stackrel{\%}{63.5}\)

Could you add more information like the picture of the figure where these lines are from?

Answer:

I need more info to answer this question.

Step-by-step explanation:

Answer:

Answer a h bro ok bye bro good luck

Answer:

x=(y+81)/7

Step-by-step explanation:

y=7x-72-9

y=7x-81

y+81=7x

7x=y+81

x=(y+81)/7

x=(y+81)/7

If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.

Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.

Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.

Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:

QT * (Q * x) = QT * (λ1 * x)

Applying the associative property of matrix multiplication, we have:

(QT * Q) * x = λ1 * (QT * x)

Using the fact that Q * QT = I, we can simplify further:

I * x = λ1 * (QT * x)

Since I * x equals x, we have:

x = λ1 * (QT * x)

Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:

x = λ2 * x

where λ2 = λ1 * (QT * x).

This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).

In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

for more such question on matrix visit

https://brainly.com/question/2456804

#SPJ8

The correct answer for this problem is that the width of the rectangle is 7 yards and the length of the rectangle is 14 yards.

Area is a measure of the size of an object or a region of space. It is a two-dimensional measure.

To solve this problem, we use the formula for the area of a rectangle, A=l*w, where l is the length and w is the width.

We know that A=65 yd², so 65 = l × w.

l = 2w - 3, so by substituting this into the equation

65 = (2w - 3)w.

65 = 2w² - 3w.

2w² - 65 = 3w.

By dividing both sides by 2

w² - 32.5 = w,

and then subtracting 32.5 from both sides

w²- 32.5 - 32.5 = 0,

which can be factored to (w - 7)(w + 7) = 0.

Since w cannot equal -7,  the value of w must be 7.

By substituting into the original equation,

l = 2w - 3,

l = 2(7) - 3,

l = 14.

Therefore, the width of the rectangle is 7 yards and the length is 14 yards.

For more questions related to rectangle

https://brainly.com/question/2607596

#SPJ1

The distance between the points Q and R is found to be 8 units.

Algebraic expression that provides the distances between two points as a function of their coordinates (like coordinate system).

Now, as per the stated question;

The coordinates of the points Q and R are given as;

Q = (x₁, y₁) = (-7,-8)

And, R = (x₂, y₂) = (-7,0)

Now, substitute the values in the distance formula;

QR = √(-7 - (-7))² + (0 - (-8))²

QR = √(0)² + (8)²

QR = 8

Therefore, the distance between the points Q and R is calculated as 8 units.

To know more about the distance formula, here

https://brainly.com/question/661229

#SPJ9

The required length of the other piece of the board is  12.3 meters.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

To find out the length of the other piece we need to subtract the length of one piece from the original length of the board,
So,
Length of the other piece = 19.5 - 7.2 meters
                                        = 12.3 meters

Thus, the required length of the other piece of the board is  12.3 meters.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

To change from hectometer to decameter multiply by 10

9.6 x 10 = 96

answer: 96 decameters

Answer:

96 dac.

Step-by-step explanation:

Multiply 9.6 with 10

Answer:

4(x+8)

or

4x + 8

Step-by-step explanation:

four times sum of x and 8

which means a number is four times x+8

1. Answer (a) Positive. The leading coefficient of the polynomial on the right is positive.

Answer (b) 3, the highest power of the variable is 3, so the minimum degree of the polynomial is 3.

2. Answer (a) 2, Answer (b) 1

3. Answer (a) 3, Answer (b) 1 and 5

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Polynomials can have constants and variables, and they usually have multiple terms that are separated by addition or subtraction.

1. The leading coefficient of a polynomial is the coefficient of the highest degree term. In the graph, the highest degree term is x3, and it is positive. Therefore, the leading coefficient of the polynomial on the right is positive.

The degree of a polynomial is the highest power of the variable in the equation. In the graph, the highest power of the variable is 3, so the minimum degree of the polynomial is 3.

2. The number of real zeros of a polynomial is the number of times the polynomial crosses the x-axis. In the graph, the polynomial crosses the x-axis twice, so it has 2 real zeros.

The number of imaginary zeros of a polynomial is the number of times the polynomial bounces off the x-axis. In the graph, the polynomial bounces off the x-axis once, so it has 1 imaginary zero.

3. The polynomial p(x) bounces off the x-axis at x=3 because the polynomial changes direction at this point.

The polynomial p(x) crosses the x-axis at x=1 and x=5 because the polynomial intersects the x-axis at these points.

For more questions related to constant

https://brainly.com/question/28550485

#SPJ1

The slope of the equation is 2. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The graph of a linear function is shown on the grid.

From the graph, the points are (-2.5, 0) and (0, 5) and the y-intercept is 5. The slope of the line is given as,

m = (5 - 0) / (0 + 2.5)

m = 5 / 2.5

m = 2

The slope of the equation is 2. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The missing graph is attached below.

The value of angle LAF in the intersecting chords is determined as  104⁰.

The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

m∠LAF = ¹/₂ (arc LF + arc YS)

From the diagram, we have arc LF = 160⁰ and YS = 48⁰

m∠LAF = ¹/₂ (160 + 48)

m∠LAF = 104⁰

Thus, the value of angle LAF is calculated by applying intersecting chord theorem.

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

ava ran the fastest

Step-by-step explanation:

We need to find the number of tie-dyed t-shirts, for that we will assign a variable for each kind of shirt. The tie-dyed will be called "x" and the silk-screened will be called "y".

We know that he sold 180 shirts in total, so the sum of x and y should be 180.

We also know that he sold 4 times as many tie-dyed t-shirts as silk-screened ones, so:

To solve the problem we need to replace the second equation on the first one:

Then we can use the second equation to find the value of x.

He sold 144 tie-dyed shirts and 36 silk-screened ones.

The number of triangles that are displayed can be found to be 216 triangles.

Each rectangular tile has a decorative pattern of 3 equal-sized squares, and each square is divided into 2 same-sized triangles. Therefore, each tile has 3 squares * 2 triangles per square = 6 triangles.

Marnie uses 36 of these tiles on the wall behind her kitchen stove. To find the total number of triangles displayed, multiply the number of triangles per tile by the total number of tiles:

Total triangles = 6 triangles per tile x 36 tiles = 216 triangles

So, there are 216 triangles displayed on the wall behind Marnie's kitchen stove.

Find out more on triangles at https://brainly.com/question/17488511

#SPJ1

Answer:

Uninsured motorist bodily injury, or UMBI, pays for medical bills, pain and suffering, lost wages if you can't work after an accident and funeral expenses after a crash with an at-fault driver who doesn't have car insurance. It may also cover you if you're hit as a pedestrian or while riding your bike.

Step-by-step explanation:

The sample size needed to be 99​% confident that the sample proportion will not differ from the true proportion by more than ​4% is given as follows:

n = 1037.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

As we have no estimate, the parameter is given as follows:

\(\pi = 0.5\)

Then the sample size for M = 0.04 is obtained as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.04\sqrt{n} = 2.575 \times 0.5\)

\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)

n = 1037.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

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

Use tangent to find the missing leg x:

Answer:

x = 9√3

Step-by-step explanation:

The given triangle is a 30-60-90 triangle.

A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio of  1 : √3 : 2.

Therefore, the formula for the sides is  a : a√3 : 2a where:

From inspection of the triangle, the side opposite the 30° angle is:

Therefore,

Therefore, the length of side x in simplest radical form is:

Answer:

840

Step-by-step explanation:

You can divide by 5 and get 168

840/6 = 140

840/21 = 40

Answer:

The largest 3 digit number divisible by 5, 6, & 21 is 840.

The graph of U + V + W vectors is attached accordingly.

A vector is a number or phenomena with two distinct properties: magnitude and direction. The word can also refer to a quantity's mathematical or geometrical representation.

From the question,

U = (1,5), iV = (-3, 1) and W = (4, -3)

Thus, U + V + W = (1-3+4, 5+1-3)

= (2, 3)

Hence, the attached graph.

Note that In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

Learn more about vectors;
https://brainly.com/question/25705666
#SPJ1

Answer:

The total sales in dollars to make their pay equal is: $ 3800

Step-by-step explanation:

Since we need to find the number of sales that make both function equal in value, we equal both expressions, and solve for 'x":

\(180+0.05 \,x=104+0.07 \,x\\180-104=0.07\,x-0.05\,x\\76=0.02x\\x=\frac{76}{0.02} \\x=3800\)

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

Explanation:

One way to draw out the diagram is shown below.

Focus on the right triangle.

tan(angle) = opposite/adjacent

tan(x) = 3/12

tan(x) = 0.25

x = arctan(0.25)

x = 14.03624

Side note: arctangent is the same as inverse tangent denoted as \(\tan^{-1}\)