A hurricane can produce heavy rain for a prolonged period of time. Suppose
that Hurricane Amanda is expected to produce 12 hours of rainfall at a rate of
0.7 inches
per hour. Construct a table of values to show total rainfall over the span
of the storm.

The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

Learn more about system equations here: https://brainly.com/question/13729904

#SPJ1

Answer:

The average rate of change of function f over the interval [0, 2] is 9.

Step-by-step explanation:

To find the average rate of change of a function over an interval, we evaluate the function at the endpoints of the interval and find the slope between them.

We are given the function:

\(f(x)=x^2+7x-4\)

And we want to find its average rate of change over the interval [0, 2].

So, evaluate the function at the endpoints:

\(f(0)=(0)^2+7(0)-4=-4\)

\(f(2)=(2)^2+7(2)-4=14\)

And find the slope between them:

\(\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{14-(-4)}{2-0}=\frac{18}{2}=9\)

So, the average rate of change of function f over the interval [0, 2] is 9.

Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

By writing Z in polar form, we will see that:

\(z^3 = C\)

First, we can see that:

z = (-1 - i)

If we write it in polar form, we get:

\(z = \sqrt{2} *e^{i(\pi + \pi/4)\)

If we apply the power 3, we get:

\(z^3 = (\sqrt{2} *e^{i(\pi + \pi/4)})^3\\\\z^3 = 2^{3/2}*e^{i*(3\pi + 3\pi/4)}\\\\z^3 = 2^{3/2}*e^{i*15\pi/4}\)

Notice that:

\(\frac{15\pi}{4}\)

Is an angle equivalent to:

\(\frac{15\pi}{4} - 2\pi = \frac{15\pi}{4} - \frac{8\pi}{4} = \frac{7\pi}{4} = 1.75\pi\)

Because the angle is measured from the positive x-axis, this means that we will have:

\(z^3 = C\)

If you want to learn more about complex numbers:

https://brainly.com/question/10662770

#SPJ1

Answer:if it's already ounce then 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

she makes $22.80 a day

Step-by-step explanation:

since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.

hope this helped!

Answer: 188105

Step-by-step explanation:

The LCM of 132, 450 and 342 is 188100

Since remainder is 5, we add 5 to 188100 to get 188105.

188105 is the number

As per the given scatter plot, if the outlier were removed, r would get closer to 1.

The term scatter plot in math is used to plot data points on a horizontal and a vertical axis in the attempt to show how much one variable is affected by another

Here we have given that a local ice cream shop kept track of the number of cans of cold soda it sold each day and the temperature that day, for two months during the summer by using the scatter plot.

Here we have also know that X-axis is temperature measured in degrees Fahrenheit with a range from about 55 to 100 degrees and the value of Y-axis is the number of cans of soda sold with a range from about 165 to 195 cans.

While we take into consideration that a reasonable value of the correlation coefficient r for these data is 1.2.

Where as if the temperature were measured in degrees Celsius (C = 5/9 * (F - 32)), then the value of r would change accordingly.

Thus makes that the correlation coefficient would increase and be closer to 1.

To know more about scatter plot here.

https://brainly.com/question/29231735

#SPJ4

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

Read more on average here: brainly.com/question/878454

#SPJ1

The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

Learn more about Rotation here:

https://brainly.com/question/1571997

#SPJ1

Answer:

Option B. 36

Step-by-step explanation:

From the figure attached,

ΔLMN ~ ΔPON

Therefore, corresponding sides of these similar triangles will be in the same ratio.

\(\frac{LM}{OP}=\frac{MN}{ON}=\frac{LN}{PN}\)

\(\frac{LM}{OP}=\frac{MN}{ON}\)

\(\frac{42}{14}=\frac{x}{12}\)

x = \(\frac{42\times 12}{14}\)

x = 36

Therefore, measure of side MN = x = 36 units

Option B. will be answer.

Answer:

That's hard wish you the best tho.

Step-by-step explanation:

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

To learn more about slope visit:

https://brainly.com/question/11559942

#SPJ1

Step-by-step explanation:

A = 0.5(πr^2 )

A = 0.5(π × (20^2 ))

A = 628.32 units^2

Answer:

628.3 ft

Step-by-step explanation:

area of half circle = \(\frac{\pi r^{2}}{2}\)

                             = \(\frac{\pi *20^{2} }{2}\)

                             = 200\(\pi\) = 628.3 ft

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

For more such questions on triangle

https://brainly.com/question/1058720

#SPJ8

Answer:

They spent 112 dollars on props.

The required total 16% spend on the props is $112.

Given that,
A group of friends was working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

A group of friends was working on a student film that had a budget of $700.
Budget = $700
They used 16% of their budget on props.
Total spend on the props = 700 * 16 / 100
                                       = $ 112

Thus, the required total 16% spend on the props is $112.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

Answer:

24 questions

Step-by-step explanation:

you would make the percentage a decimal and times that by how many problems.

Answer:

24 problems

Step-by-step explanation:

I like to do it like this: I find out what 10 percent is, so I divide it by 10. 30/10=3. 10 percent plus 10 percent is 20 percent. That's 6. 100 percent minus 20 is 80 percent. 30 - 6 is 24. Hope this helps.

Answer:

25.67

Step-by-step explanation:

One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.

If you multiply 0.33 with 77 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 25.67 is 33.33 percent of 77.

Step-by-step explanation:

The first six terms for each of the following sequenses are:

(a) a_n = 3n - 10

1. a_1 = -7

2. a_2 = -4

3. a_3 = -1

4. a_4 = 2

5. a_5 = 5

6. a_6 = 8

(b) a_n = (1 + (-1)^n) ^n

1. a_1 = 0

2. a_2 = 4

3. a_3 =0

4. a_4 = 16

5. a_5 = 0

6. a_6 = 32

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

For more such questions on polynomial, click on:

https://brainly.com/question/1600696

#SPJ8

Answer:

there are 60 ounce

Step-by-step explanation:

did the question and got it right

lf 6 tablespoons are equivalent to 1 fluid Ounce, Then 5/3 fluid Ounces are in 10t tablespoons.

Two or more expressions with an Equal sign is called as Equation.

lf 6 tablespoons are equivalent to 1 fluid Ounce,

Then we need to find many fluid Ounces are in 10t tablespoons.

Consider x as fluid Ounces are in 10t tablespoons

Let us form a equation to solve this

6/1=10/x

Apply cross multiplication

6/10=1/x

x=10/6

x=5/3

Hence 5/3  fluid Ounces are in 10t tablespoons

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

242.7 dB

Step-by-step explanation:

Answer:

Simply have neat and organized ways to save files. You can do this with file cabinets or by having digital copies of all the files to get rid of the clutter. I would recommend the second option.

Step-by-step explanation:

I got it right

The formal letter to the client offering tips on ways to make his business more organized and efficient is;

51, broad street,

Times Square Church,

New York City.

2/12/2021

The General Manager,

Clad financial services Ltd,

Brooklyn, New York city.

Dear Mr. Bill Wilkinson,

Letter of advice on more organized and efficient business.

I am writing with respect to the need to have a more organized and efficient office. Since resumption into this role as an efficiency expert, I have noticed that specific files and documents are very difficult to locate due to unorganization and untidiness.

With respect to the issue of unorganization and untidiness, I have some neat and organized ideas that can be used to save files. This can be can done by making use of file cabinets and also by creating and saving digital copies of all the files in order to get rid of some of the files and documents occupying a lot of space in the office.

Secondly, I will also like to add that unwanted papers or files should be thrown away and the files on the shelf should be properly labeled for easy identification.

Regards.

Frank Johnson,

Efficiency Expert.

Read more at; https://brainly.com/question/9510603

The distance between third base and the pitcher's mound is roughly 80.0 feet.

The Pythagorean theorem can be used to resolve this issue.

The pitcher's mound and third base can be thought of as the two ends of a right triangle in this situation, with home plate and third base serving as the hypotenuse. One of the triangle's legs is the distance between home plate and the pitcher's mound.

Let's call the distance between the pitcher's mound and third base "x". Then we can set up the following equation:

\(60.5^2 + x^2 = 90^2\)

Simplifying and solving for x, we get:

\(x^2 = 90^2 - 60.5^2\)

\(x^2 = 6406.25\)

x ≈ 80.0

Therefore, the distance between third base and the pitcher's mound is roughly 80.0 feet.

Learn more about Pythagorean theorem here : brainly.com/question/28981380

#SPJ1