What is the area of the top of the can
if the radius is 8 cm?

Answer:

The input is -6, hope this helps :D

Step-by-step explanation:

Represent the machines as expressions:

outputA= 7x-6

outputB= 3x+2

Find the input when the outputA is 3*outputB:

outputA=3outputB

(7x-6)=3(3x+2)

7x-6=9x+6

2x=-12

x=-6

Answer:

\(x=-6\)

Step-by-step explanation:

\(A=7x-6\\B=3x+2\\For A=3B\\7x-6=3(3x+2)\\7x-6=9x+6\\2x=-12\\x=-6\\\)

The surface area of the triangular prism is B. 1,008 \(cm^{2}\)

Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.

How to determine this

The surface area of the triangular prism =  Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.

Area of the front and back triangle will be the the same given the same base and height

To find the area of the triangle = 1/2 * Base * Height

Where base = 12 cm

Height = 9 cm

Area = 1/2 * 12 cm * 9 cm

Area = 6 * 9 \(cm^{2}\)

Area of the one triangle = 54 \(cm^{2}\)

So, by multiplying each sides of the triangle by the length

= Base * Length

= 12 cm * 25 cm

= 300\(cm^{2}\)

Height * Length

= 9 cm * 25 cm

= 225 \(cm^{2}\)

Then, Hypotenuse * Length

= 15 cm * 25 cm

= 375 \(cm^{2}\)

Surface area = 54\(cm^{2}\) + 54\(cm^{2}\) * 300\(cm^{2}\) + 225\(cm^{2}\) + 375\(cm^{2}\)

Surface Area = 1,008\(cm^{2}\)

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Answer:

B = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4(9y - 5) = 10(3y + 17) - 40

Step 2: Solve for y

\(\huge\textsf{Hey there!}\)

\(\large\textsf{4(9y - 5) = 10(3y + 17) - 40}\\\\\large\textsf{4(9y) + 4(-5) = 10(3y) + 10(17) - 10(40)}\\\\\large\textsf{36y - 20 = 30y + 170 - 40}\\\\\large\textsf{COMBINE the LIKE TERMS}\\\\\large\textsf{36y - 20 = (30 y)+ (170 - 40)}\\\\\large\textsf{36y - 20 = 30y + 130}\\\\\large\textsf{SUBTRACT 30y to BOTH SIDES}\\\\\large\textsf{36y - 20 - 30y = 30y + 130 - 30}}\\\\\large\textsf{Cancel out: 30y - 30y because that gives you 0}\\\\\large\textsf{Keep: 20 - 30y because helps solve for the y-value}\)

\(\large\textsf{NEW EQUATION: 6y - 20 = 130}\\\\\large\textsf{ADD 20 to BOTH SIDES}\\\\\large\textsf{6y - 20 + 20 = 130 + 20}\\\\\large\textsf{Cancel out: -20 + 20 because that gives you 0}\\\\\large\textsf{Keep: 130 + 20 because that helps solve for the y-value}\\\\\large\textsf{130 + 20 = \bf 150}\\\\\large\textsf{NEW EQUATION: 6y = 150}\\\\\large\textsf{DIVIDE 6 to BOTH SIDES}\\\\\mathsf{\dfrac{6y}{6}= \dfrac{150}{6}}\\\\\large\textsf{Cancel: }\mathsf{\dfrac{6}{6}\large\textsf{ because that gives you 1}}\)

\(\large\textsf{Keep: }\mathsf{\dfrac{150}{6}}\large\textsf{ because it helps solve for the y-value}\\\\\large\textsf{\bf y = }\mathsf{\dfrac{150}{6}}\\\\\large\textsf{OR }\\\\\mathsf{\dfrac{150}{6} }\large\textsf{ = \bf y}\\\\\\\large\textsf{SIMPLIFY ABOVE AND TOU YOU HAVE YOUR Y-VALUE}\uparrow\\\\\\\\\boxed{\boxed{\large\textsf{\huge\textsf{Answer: \bf y = 25} (Option B.)}}}\huge\checkmark\\\\\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}\)

That note about "both signs have been reversed" only applies to the example on the right side, where –4 was distributed into the expression in parentheses.

Notice on the left example, the signs were not reversed.

When you distribute a negative number, that's when the signs will reverse.  Since you're distributing a negative number, you'll be multiplying each term in parentheses by a negative number and that negative is what reverses the sign on every term.

So, yes all of the signs will be reversed each time you distribute a negative number into the parentheses, but not if you distribute a positive number.

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

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Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

DEAN WINCHESTER X CASS THE ANGEL

Answer:

10

Step-by-step explanation:

Whenever we see "of" we know its multiplication

125% x a normal day

125% x 8

\(\frac{125}{100}\) x 8

10

:)

Answer:

(g ○ f)(x) = 5x² + 38

Step-by-step explanation:

to find (g ○ f)(x) substitute x = f(x) into g(x) , that is

g(f(x)

= g(x² + 8)

= 5(x² + 8) - 2

= 5x² + 40 - 2

= 5x² + 38

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Answer:

the last one

Step-by-step explanation:

Answer:

slope -1/3 and y-intercept is -1

Step-by-step explanation:

7.241 < 7.249 < 7.254 < 7.375 is the correct ascending order  

Number order refers to the arrangement of numbers in a sequence from smallest to largest, known as ascending order, or from largest to smallest, known as descending order. When we arrange numbers in ascending order, we begin with the smallest number and continue to the largest. On the other hand, when we arrange numbers in descending order, we start with the largest number and proceed to the smallest.

The process of ordering numbers is an essential skill in mathematics, and it is used to make comparisons, identify patterns, and simplify complex calculations. In everyday life, we often need to arrange numbers in order to make sense of data or to make decisions based on numerical information. For example, when analyzing financial data, we may need to order a list of numbers in descending order to identify the largest expenses.

To order numbers, we must compare their values and determine which is greater or smaller. In some cases, the numbers may be of different units or scales, making direct comparisons challenging. In such cases, we can convert them to a common scale or unit using mathematical operations, such as multiplication or division.

In conclusion, ordering numbers is a fundamental skill that is used in a wide range of fields, including finance, statistics, and science. By arranging numbers in ascending or descending order, we can make sense of numerical information and perform calculations more efficiently.

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Answer:The answer is A)11(9)(4)

Step-by-step explanation:

If you have 9(4)(11) then is would be the one that look just like it but the number are moved like 11(9)(4)

Answer:

The Answer is 11 (9 + 4)

Answer:

D is correct trust.

Step-by-step explanation:

I literally took the test 2 minutes ago and got that answer.

According to the model, the recommended amount of sleep for a 25-year-old person is equal to 6.75 hours of sleep.

In Mathematics and Statistics, a line of best fit is also referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, we can logically deduce that a linear equation which represents the line of best fit include the following:

y = -0.25x + 13

For a 25 years old person, the recommended hours of sleep can be calculated as follows;

y = -0.25x + 13

y = -0.25(25) + 13

y = -6.25 + 13

y = 6.75 hours of sleep.

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The ratio is  15+\(r_2\) : \(12+r_1\).

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit

=> A = \(2\pi r(h+r)\) square unit.

Now Height = 12 in , radius = r1 then,

=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1

Now Height = 15 in , radius = r2 then,

=>\(A_2=2\pi r_2(15+r_2)\)-------> 2

Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,

=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)

=>\(15+r_2:12+r_1\)

Hence the ratio is \(15+r_2:12+r_1\).

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Answer:

25:16

Step-by-step explanation:

I took the

The sums of the measures of the interior angles of a polygon is three times the sum of its exterior angles then it has 8 sides .

What is Polygon?

A polygon is a two-dimensional, closed form that is flat or planar and is limited by straight sides. Its sides are not curled. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge. Here are some illustrations of polygons.

What is interior angles?

Interior angles are those that are located within the confines of two parallel lines that are intersected by a transversal.

What is exterior angles?

The angles that are created outside of a triangle are its external angles. In other terms, the angle created between one of a triangle's sides and its neighboring extended side is the triangle's external angle.

We know that sum of interior angle of regular polygon is ;

(n-2) x 180°

Where n = no. of sides

We also know that sum of exterior angle of regular polygon is 360°.

The fact that the sum of a polygon's internal angles is three times the sum of its outside angles is now a given;

Therefore;

sum of interior angles of a regular polygon = 3 x sum of exterior angle

⇒ (n-2) x 180°

⇒3 x 360°

Simplify the equation we have above by:

⇒(n-2) = 3 x 360°/180° = 6

⇒ n = 6+2 = 8

Therefore the sides of the regular polygon  is 8.

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Answer:

i need helppppppppppppppp

Step-by-step explanation:

Answer:

The points are "(2,2)".

Step-by-step explanation:

Given value:

\(f(x,y)=x^3-6xy+y^3+7\)

Finding the first partial derivation which is equal to 0.

\(\to f_x(x,y)=3x^2-6y...............(a)\\\\ \to f_y(x,y)=-6x+3y^2...................(b)\)

solve both the above equation by equal to 0.

For equation (a)

\(\to 3x^2-6y=0\\\\\to 3x^2=6y\\\\\to x^2=2y\\\\\to y=\frac{x^2}{2}\\\\\)

For equation (b)

\(\to -6x+3y^2 =0 \\\\\to 3y^2 =6x\\\\\text{put the value of y in equation b}\\\\\to 3(\frac{x^2}{2})^2 -6x=0\\\\\to \frac{3}{4} x^4 -6x=0\\\\\)

by solving the above value in the form of x we get:

\(\to x=0\\ \to x=2\\ \to x= -1 +\sqrt{3} i\\ \to x= -1 -\sqrt{3} i\\\)

by solving the above value in the form of y we get:

\(\to y=0\\ \to y=2\\ \to y= -1 +\sqrt{3} i\\ \to y= -1 -\sqrt{3} i\\\)

Solve the value by applying the second derivation method:

\(\to f_{xx}(x,y)=6x...............(a1)\\\\ \to f_{yy}(x,y)=6y...................(b2)\\\\\to f_{xy}(x,y)=-6...................(c2)\)

calculating the value of discriminate:

\(d=f_{xx}(x,y) f_{yy}(x,y)-[f_{xy}(x,y)]^2\)

The critical point of the given equation will be (2,2)

\(d=f_{xx}(2,2) f_{yy}(2,2)-[f_{xy}(2,2)]^2\\\\\)

  \(= (6 \times 2) (6 \times 2) -[(-6)^2]\\\\= (12) (12) -[36]\\\\= 144 -36\\\\= 108\\\\\)

Answer:

\((2,2)\) is a minimum point of the function \(f(x,y).\)

Step-by-step explanation:

\(f(x,y)=x^3-6xy+y^3+7\)

Find the partial differentiation w.r.t. \(x\) and \(y\).

\(\frac {\partial f}{\partial x}=3x^2-6y\)

\(\frac {\partial f}{\partial y}=-6x+3y^2\)

\(\frac {\partial^2 f}{\partial x^2}=6x\)

\(\frac {\partial^2 f}{\partial y^2}=6y\)

\(\frac{\partial f}{\partial xy}=-6\)

Find the critical points.

\(\frac {\partial f}{\partial x}=\frac {\partial f}{\partial y}=0\)

\(\Rightarrow 3x^2-6y=0 \;\text{and}\; -6x+3y^2=0\)

\(\Rightarrow 6y=3x^2\Rightarrow y=\frac{x^2}2\)

\(\Rightarrow -6x+\frac 34 x^4=0\Rightarrow \frac {x^3}4=2\)

\(\Rightarrow x^3=8\Rightarrow x=2,y=2\)

Therefore, \((2,2)\) is a critical point.

Now, \(\frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2\)

\(=6x6y-36=36xy-36>0 \;\text{at critical point }\; (2,2)\)

Thus, \((2,2)\) is not a saddle point.

\(\because \frac{\partial^2 f}{\partial x^2}>0 \; \text{and}\; \frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2>0 \;\text{at point}\; (2,2)\)

Hence, \((2,2)\) is a local minimum of a given function.

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

Answer:

I dont know sorry

Step-by-step explanation:

Answer:

its a relation

Step-by-step explanation:

Using complex numbers concepts, it is found that the correct option is:

a=0 and b=5

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

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Answer:

Um, I feel like I don't have enough info to solve this

Step-by-step explanation:

The amount that Mark will pay monthly if the house's original price is 15,000,000 pesos for 20 years at 13.75% monthly compounded interest is 183,810.81 pesos.

The monthly payment can be computed using an online finance calculator that incorporates the compound interest system.

The compound interest system charges interest on both the principal and the accumulated interest for each period.

N (# of periods) = 240 months

I/Y (Interest per year) = 13.75%

PV (Present Value) = 15,000,000 pesos

FV (Future Value) = 0

Results:

Monthly Payment (PMT) = 183,810.81 pesos

The sum of all periodic payments = 44,114,593.72 pesos

Total Interest = 29,114,593.72 pesos

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Total Shape: Perimeter is 62 ft. and Area is 110 ft²

Area and perimeter are both measurements used in geometry to describe the size and shape of two-dimensional objects such as polygons, circles, and rectangles.

There are consider two rectangular shape 1 and shape 2;

for Shape 1: A small rectangle upper side of figure 2 shown below.

Perimeter = 2 × (6+13) = 38 ft.

Area = 6 × 13 = 78 ft²

for Shape 2: A big rectangle below side of figure 2 shown below.

Perimeter = 2 × (8+4) = 24 ft.

Area = 8 × 4 = 32 ft²

Total Shape:

Perimeter = (38 + 24) ft. = 62 ft.

Area = 78 + 32 = 110 ft²

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The required answer to the given term is 2.

What is simplification?

Finding the answer from a complex calculation is what is meant by simplification. To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

By eliminating all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form, fractions can be made simpler.

By combining and grouping like terms, mathematical expressions can be made simpler. This makes the phrase simple to comprehend and solve.

Given, 2/5 x 5

=  \(\frac{2}{5} *5\)

= 2

Hence, the required answer to the given term is 2.

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