Find the sum of the interior angles of the shape below.

We need to find the vertex of the quadratic equation -0.001x² + 8x - 7000. The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -0.001 and b = 8. Plugging in the values, we get x = -8/(2*(-0.001)) = 4000. the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases. Option (b) is the correct answer. It's worth noting that we can also verify that this is a maximum by checking the sign of the leading coefficient (-0.001) - since it is negative, the quadratic opens downwards, meaning that the vertex represents a maximum point.
The manufacturer's profit is given by the equation P(x) = -0.001x^2 + 8x - 7000. To find the value of x that maximizes the profit, we need to determine the vertex of the parabola. The x-coordinate of the vertex is found using the formula x = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively.

In this case, a = -0.001 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2 * -0.001) = 4000

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

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Answer:

I believe the answer is 9 years old or 8 years old.

Answer:I think mary is 14

Step-by-step explanation: Im so sorry if im wrong if am just tell me and ill change my answer

Answer

7, 1

Step-by-step explanation:

do math

Answer:

Her sis is right

Step-by-step explanation:

She is correct because if you multiply a decimal by a power of 10 instead of adding a zero you bring numbers out of the decimal state.

Answer:

Emma's sister is correct

Step-by-step explanation:

When you multiply by a power of ten you are actually just moving the decimal (which in a whole number you don't see) to the right so when it's a whole number yes you just add a zero but in this instance the answer would be 56.

we have AD = CB and AE = EC, which implies that ABCD is a parallelogram. Moreover, since angle A = 90 degrees, we have angle B = angle D = 90 degrees. Therefore, ABCD is a rectangle.

Given that in quadrilateral ABCD, angle A = 90 degrees = angle C, and diagonal AC bisects diagonal BD.

To prove that ABCD is a rectangle, we need to show that its opposite sides are parallel and equal in length.

Let E be the point where diagonal AC intersects BD. Since AC bisects BD, we have BE = ED.

Now, in triangles ADE and CBE, we have:

AD = CB (opposite sides of a rectangle are equal)

Angle ADE = Angle CBE (each is equal to half of angle BCD)

Angle DAE = Angle BCE (vertical angles are equal)

Therefore, by the angle-angle-side congruence theorem, triangles ADE and CBE are congruent. Hence, AE = EC.

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The exact value of tan 300° determined using double-angle identity is √3

The double-angle identity for tangent is given by:

tan(2θ) = (2tan(θ))/(1 - tan²(θ))

In this case, we want to find the value of tan(300°), which is equivalent to finding the value of tan(2(150°)).

Let's substitute θ = 150° into the double-angle identity:

tan(2(150°)) = (2tan(150°))/(1 - tan²(150°))

We know that tan(150°) can be expressed as tan(180° - 30°) because the tangent function has a period of 180°:

tan(150°) = tan(180° - 30°)

Since tan(180° - θ) = -tan(θ), we can rewrite the expression as:

tan(150°) = -tan(30°)

Now, substituting tan(30°) = √3/3 into the double-angle identity:

tan(2(150°)) = (2(-√3/3))/(1 - (-√3/3)²)

= (-2√3/3)/(1 - 3/9)

= (-2√3/3)/(6/9)

= (-2√3/3) * (9/6)

= -3√3/2

Therefore, tan(300°) = -3√3/2.

However, the principal value of tan(300°) lies in the fourth quadrant, where tangent is negative. So, we have:

tan(300°) = -(-3√3/2) = 3√3/2

Hence, the value of tan(300°) is found to be = √3.

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Answer: 6 units

Step-by-step explanation:

Since this is just a reflection, the length of A'C' shouldn't be different from the length of AC.

When the height of a building is 250 feet. Then the angle of elevation, to the nearest degree, from a point on the level ground 200 feet away from the building will be 52.3 degrees.

The angle of elevation is the angle between the horizontal line of sight to the top of the building and the line from the point on the level ground to the top of the building.

To calculate the angle of elevation, we need to use the tangent function, which is the ratio of the opposite side to the adjacent side in a right triangle.

The adjacent side is the distance from the point on the level ground to the building, which is 200 feet. The opposite side is the height of the building, which is 250 feet. Using the tangent function,

tanФ = perpendicular/ base

tanФ = 250/200

tanФ = 5/4

Ф = \(tan^{-1}\)(5/4)

we can calculate the angle of elevation to be 51.3° to the nearest degree.

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Answer:

I think it is 20 pi units.

Step-by-step explanation:

Given:

h= 5 units

Base area (its base is a circle. And we know, Area of the circle is pi*r^2 )

So now,

Volume of cylinder= pi*(r)^2 * h

                               = (pi*r^2) * h (the base area is given as 4 pi, so we substitute it )

                               = 4pi* 5

                               = 20 pi units.

Hope it helps........

Differentiating both sides with the product and chain rules gives

2 g'(2x) = h(x²) + 2x² h'(x²)

Solving for h'(x²) gives

h'(x²) = (2 g'(2x) - h(x²))/(2x²)

If g(x) = f(x²), then g'(x) = 2x f'(x²). Making the appropriate replacements, we get

h'(x²) = (2 g'(2x) - h(x²))/(2x²)

h'(x²) = (2 g'(2x) - g(2x)/x)/(2x²)

h'(x²) = (2 • 2 (2x) f'((2x)²) - f((2x)²)/x)/(2x²)

h'(x²) = (8x f'(4x²) - f(4x²)/x)/(2x²)

h'(x²) = (8x² f'(4x²) - f(4x²))/(2x³)

Answer:

17/24

Step-by-step explanation:

hope this helped:)

Answer: i think it is 17/24

Step-by-step explanation:

Answer:

1) is the graph that represents a function because that is the only one who passes the vertical line test.

Step-by-step explanation:

Answer:

Yes it is.

Step-by-step explanation:

All whole numbers are integers.

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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1) Considering that in one deck we have 52 cards, and we also have four number fives one per each: hearts, spades, clubs, and diamonds.

2) Then we can delimit our sample space as 52 and the event as 4, so we can write out the following:

Note that we could simplify that, dividing both by 4. And that's the answer.

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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When you have a list of all the students the fit into your population of interest and randomly select 100 students to be apart of your study, the type of sampling that you doing is stratified sampling.

A method of sampling from a population that can be divided into subpopulations is known as stratified sampling in statistics. When subpopulations within a larger population differ in statistical surveys, it may be advantageous to sample each subpopulation separately.

For example, if one is interested in differences between groups based on race, gender, or education, stratified random sampling is frequently used by researchers to learn about different subgroups or strata based on the entire population being studied. In this case, the subpopulation from the initial population is chosen.

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Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.

This is know to be the thought method or act that helps a consumer to identify a need, gather options, and choosing a given product and brand.

Note that Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.

If I am to purchase 550 frozen treats, I will buy:

Ice cream bar fruit  = 300

Frozen bar fruit = 250

Therefore,  for  Ice cream bar fruit , it will be = amount x cost price

300 x  0.85 = 255

For Frozen bar fruit = 250 x  0.50

= 125

Add up the total cost= 255 + 125

Total amount spent will be= 380

Therefore we can see that the total price spent falls within the budget allocated and so I will choose both  Ice cream bar fruit and frozen bar fruit.

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The quadratic regression equation that best fits the data is:

y = 32.86x² - 379.14x + 1229.14.

Regression equations are obtained inserting the points of a table or of a scatter plot into a calculator.

The choice of calculator is relevant to the type of regression equation desired. For this problem, it is stated that a quadratic regression equation is desired, hence the calculator used is for quadratic regression.

From the table given on the right side of the image, the points that will be used to build the quadratic regression equation are given by the ordered pairs presented as follows:

(3, 330), (4, 276), (5, 263), (6, 86), (7, 174), (8, 198), (9, 553).

Inserting these points into a calculator, the quadratic regression equation that best fits the data from the table is given below:

y = 32.86x² - 379.14x + 1229.14.

The concave up parabola is expected, as the measures in the table start decreasing and after the vertex they increase.

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Answer:

8

Step-by-step explanation:

If we write this as an expression it looks like \(16^{\frac{3}{4} }\)

Multiply the top number of the fraction by itself to find its square. Write the result and place the fraction line below it.

Answer:

1.35 x 102 i think

Step-by-step explanation:

Answer:

\(4\frac{5}{6}\)

Step-by-step explanation:

If I understand mixed numbers as being an integer plus a fraction written as if it's a multiplication (which is honestly a bad notation, but oh well) then:

\(3\frac{1}{2} +1\frac{1}{3} =(3+\frac{1}{2} )+(1+\frac{1}{3})=(\frac{6}{2} +\frac{1}{2} )+(\frac{3}{3} +\frac{1}{3})\\\\=\frac{7}{2} +\frac{4}{3}=\frac{21}{6} +\frac{8}{6}=\frac{29}{6} =\frac{24}{6} +\frac{5}{6} =4+\frac{5}{6}=4\frac{5}{6}\)

Answer:

a postulate is a mathematical statement taken as fact

a definition is a formal statement declaring the meaning of a word

a theorem is a mathematical statement proven by postulates and definitions

a diagram is a visual tool representing mathematical ideas to be represented

The expanded form of  800,008 is 800000 + 8.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given the number  800,008

The last 8 is the unit digit and the first 8 is the lakhs digit.

So,

800,008 = (800000) + 8 will be expanded form as can it be.

Hence "The expanded form of  800,008 is 800000 + 8".

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Answer:

705 ft.

Step-by-step explanation:

330+225+150= 705 ft.

If you meant into the ocean floor, that is 2.3 feet deep on average. In miles, the drill ended at 0.13352273 miles.

Answer:

45%, 30%, 190%, 1%, 100%

Step-by-step explanation:

To get a percent from a decimal, multiply it by 100 and add a % symbol.

123,772.8.

Why do you need these answers so bad?

Answer:

Hope this helps :) 123,772.8.

Step-by-step explanation:

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95