s-46=12 show your work ​

An equation of the line that goes through the point (-1, -3) and (3, 5) is y = 2x - 1.

An equation of the line in slope-intercept form that is perpendicular to the equation for obstacle 1 is y = -x/2 + 3.

In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)

Where:

At data point (-1, -3), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - (-3) = \frac{(5- (-3))}{(3-(-1))}(x -(-1))\\\\y +3 = \frac{(5+3)}{(3+1)}(x +1)\)

y + 3 = 2(x + 1)

y = 2x + 2 - 3

y = 2x - 1

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

2 × m₂ = -1

m₂ = -1/2.

At point (-4, 5), an equation of the line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x + 4)

y = -x/2 - 2 + 5

y = -x/2 + 3

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Answer:

The base is 6.69 and the height is 6.02 (these are rounded to nearest hundredth)

Step-by-step explanation:

soh-cah-toa

cos 42 = adjacent/9

adjacent = cos 42 x 9

adjacent = 6.69

sin 42 = opposite/9

opposite = sin 42 x 9

opposite = 6.02

The correct answer is that the range of the given function is greater than or equal to zero i.e., y ≥ 0.

What are the domain and range of a function?

The range is the set of all values that the given function can output, whereas the domain is the input or set of values for which the function is defined.

The graph of a function is shown. We know that the range of a function is the output of the input of values we give to the function. Another thing to keep in mind is that we often plot functions with the outputs on the vertical axis and the inputs on the horizontal axis.

From the graph, it is clear that the function is going up from the axis to the positive y-axis.

So, it is clear that the range will be less than or equal to zero.

i.e.,

Range is :

y ≥ 0

Therefore, the correct answer is that the range of the given function is greater than or equal to zero i.e., y ≥ 0.

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The value of x, given the angles m and n can be found to be 30.

Given the fact that m || n, it means that when m and n are added, they equate to 180 degrees.

The reason for this is that m and n are supplementary angles and such angles will always add up to 180 degrees.

This means the value of x can be found as:

180 = m + n

180 =  (6x - 5 ) + ( x - 25 )

180 = 6x + x - 5 - 25

180 = 7x - 30

180 + 30 = 7x

x = 210 /7

x = 30

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Answer:

The answer is "Option a".

Step-by-step explanation:

It Central Registry Depository for certain firms and persons active throughout the U.S. stock market is the registry operated by Finance Sector Regulation Agency since 2007. It is used for storage and maintenance with licensed shares and brokerage firms and personal information, that's why CRD is correct.

Answer:

Step-by-step explanation:

Question is:

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

Let the added amount be x, then acid content is:

1.67 gallons of virgin oil to be added

Answer:

The population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

Step-by-step explanation:

The migration matrix is given as:

\(A= \left \begin{array}{cc} \\ C \\S \end{array} \right\left[ \begin{array}{cc} C&S\\ 0.94&0.06 \\0.02&0.98 \end{array} \right]\)

The population in the  year 2000 (initial state) is given as:

\(\left[ \begin{array}{cc} C&S\\ 500,000&700,000 \end{array} \right]\)

Therefore, the population of the city and the suburb in 2002 (two years after) is:

\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right\left[ \begin{array}{cc} 0.94&0.06 \\0.02&0.98 \end{array} \right]^2\)

\(A^{2} = \left[ \begin{array}{cc} 0.8848 & 0.1152 \\\\ 0.0384 & 0.9616 \end{array} \right]\)

Therefore:

\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right \left[ \begin{array}{cc} 0.8848 & 0.1152 \\ 0.0384 & 0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 500,000*0.8848+700,000*0.0384& 500,000*0.1152 +700,000*0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 469280& 730720 \end{array} \right]\)

Therefore, the population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

The population of the city in 2002 is 442,080 while the population of the suburb is 674,080.

The populations are given as:

\(\mathbf{P_c = 500000}\) --- the population of the city in 2000

\(\mathbf{P_s = 700000}\) --- the population of the suburbs of the city in 2000

For the city, we have:

94% stays, while 6% moves out

For the suburbs, we have:

98% stays, while 2% moves out

Population is calculated using:

\(\mathbf{P =P_o r^t}\)

Where:

The population of the city is:

Population = Population that stays in the city in 2 years + Population that enters from the suburbs in 2 years

So, we have:

\(\mathbf{P = 500000 \times (94\%)^2 + 700000 \times (2\%)^2}\)

\(\mathbf{P = 442080}\)

The population of the suburb is:

Population = Population that stays in the suburb in 2 years + Population that enters from the city in 2 years

So, we have:

\(\mathbf{P = 700000 \times (98\%)^2+ 500000 \times (6\%)^2 }\)

\(\mathbf{P = 674080}\)

Hence, the population of the city in 2002 is 442,080 while the population of the suburb is 674,080.

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                                                   uh i could never, sorry

Answer:

1/16 meters

Step-by-step explanation:

perimeter of a square = 4 x length of each side,

so the length of each side is (1/4)/4 = 1/16 meters

Using a linear function and a quadratic function, the system of equations that can be used to model this situation is:

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the vertex is at (4,2), hence h = 4, k = 2 and the equation is:

y = a(x - 4)² + 2.

It passes through the point (5, 4), hence when x = 5, y = 4, which we use to find a.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The linear equation is given by:

y = mx + b

In which:

The road connects points (–3, 7) and (8, 2), hence the slope is given by:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

Multiplying by 11:

11y = -5x + 62.

5x + 11y = 62.

The system of equations is:

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Answer:

StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout

Step-by-step explanation:

The answer above is correct.

The given equation is y2 - 3y - 5 - (-y2 - 7y + 4) and its simplification and multiplication is 2y2 + 4y - 9.

The terms in the brackets can be immediately simplified. Therefore, we can carry out the operations indicated by the brackets in the following order: multiplication, addition, subtraction, division. Note: The brackets should be shortened in the following order: (),, []. Simplify: 14 + (8 - 2 3) for Example 2.

y^2 - 3y - 5 - (-y^2 - 7y + 4) = y^2 - 3y - 5 + y^2 + 7y - 4 =

   2y^2 + 4y - 9

6xy^3z * 3x^2yx^2 = 18x^5y^4z

-3x^3(-2x^2 + 4x - 3) = 6x^5 - 12x^4 + 9x^3

   36p^2 + 24p + 4.....coefficient is 24

(x - 5)(x^2 - 2x - 6) = x(x^2 - 2x - 6) - 5(x^2 - 2x - 6) =

    x^3 - 2x^2 - 6x - 5x^2 + 10x + 30 =

    x^3 - 7x^2 + 4x + 30.

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Answer:

It is 6mn² if you want to know the greatest common factor.

Step-by-step explanation:

Let me start with the coefficients. Since 6 can divide all coefficients, we should pick 6.

For the variables, the least power of m found in the expression is m¹ or simply m.

The least power of n found in the expression is n². Wrapping this up, you get 6mn².

But the expression has many common factors.

e.g. 2, 3, 6, m, n, n², . . .

You can also say -2, -3, -6, -m, -n, -n².

Generally, you may have many common factors, but you will have only one greatest common factor.

Answer:

A. Between 8-10

B. Between 3-5

C. Between 5-7

D. Between 8-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to divide 8625/1725

I used calculator and got 5.

Kayla has 5 pizzas.

Each pizza has 12 slices so we multiply 5x12.

That is 60.

FAQ:

Why do we multiply 5 by 12?

Answer: Each pizza has 12 slices. If we want to know how many slices 2 pizzas have, we would multiply 12 by 2. The ratio of pizza to slice is 12:1.

Pizza is 12x bigger than individual slice

(I want pizza now)

An equation that can be used to determine j j, each bottle of juice costs 15.69 = 6j + 2.91

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles.

The total cost before tax was $15.69.

An equation that can be used to determine j j, is how much each bottle of juice costs.

15.69 = 6j + 2.91

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Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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The power series solution for the DE is

\(y = a_0 \times (1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24} + ...)\)

What is diffential equation?

A differential equation is a mathematical equation that relates a function and its derivatives to its independent variables. In other words, it describes the rate at which a quantity changes with respect to one or more variables. Differential equations are used to model a wide range of phenomena in science and engineering, including motion, heat transfer, population dynamics, and quantum mechanics. They are classified based on the order of the highest derivative appearing in the equation, and their solutions may be analytical or numerical.

The differential equation y' = y can be rewritten as y' - y = 0

This is a first-order homogeneous linear differential equation, which can be solved using power series method. We assume that the solution y can be expressed as a power series in x,

\(y = a_0 + a_1x + a_2x^2 + a_3x^3 + ...\)

Taking the derivative of y with respect to x,

\(y' = a_1 + 2a_2x + 3a_3x^2 + ...\)

Substituting y and y' into the differential equation,

\((a_1 + 2a_2x + 3a_3x^2 + ...) - (a_0 + a_1x + a_2x^2 + a_3x^3 + ...) = 0\)

Simplifying the equation,

\(a_1 - a_0 = 0 \\ 2a_2 - a_1 = 0 \\ 3a_3 - a_2 = 0 \\ ....................\)

From the first equation, we get

\(a_1 = a_0\). Substituting this into the second equation, we get \(a_2 = \frac{ a_1}{2} = \frac{ a_0}{2}\). Similarly, we can solve for \(a_3, a_4,\) and so on,

\( a_3 = \frac{a_2}{3} = \frac{a_0}{23} = \frac{a_0}{6 }\\ a_4 = \frac{a_3}{4} = \frac{a_0}{234 }= \frac{a_0}{24} \\ a_5 = \frac{a_4}{5 }= \frac{a_0}{2345} = \frac{a_0}{120}...\)

Thus, the power series solution for y is \(y = a_0 + a_0x + \frac{ a_0}{2}x^2 + \frac{ a_0}{6}x^3 + \frac{a_0}{24}x^4 + ...\)

Simplifying this expression,

\(y = a_0 \times (1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24} + ...)\)

This is the power series solution for the differential equation y' = y. Note that the constant term a0 is arbitrary and can be chosen to satisfy any initial or boundary conditions.

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Answer:

Reduced fraction: 6/5

Step-by-step explanation:

3/5 / 1/2 = 1 and 1/5

3/5 / 1/2 = 3/5 x 2/1

Reduced fraction: 6/5

9514 1404 393

Answer:

  15.5 lb

Step-by-step explanation:

The average weight of the top 5 fish was 12.9 lb:

  (? +14.4 +12.8 +11.6 +10.2)/5 = 12.9

  ? +49 = 64.5 . . . . . . multiply by 5

  ? = 15.5 . . . . . . . . subtract 49

The weight of the heaviest fish was 15.5 lb.

Answer:

-8

Step-by-step explanation:

f(3) = -4(3) + 4 = -12 + 4 = -8

Answer:

Step-by-step explanation:

\(\boxed{\sf f(x) = -4x + 4 \;\: when \;\; x=3}\)

For f(x) -4x+4 substitute x with 3:-

\(\sf f\left(3\right)\:=\:-4(3)\:+\:4\)

\(\sf f\left(3\right)\:=\:-4\times 3\:+\:4\)

\(\sf f(3)=-12+4\)

\(\sf f(3)=-8\)

Therefore, f(x) = -8.

______________________

Hope this helps!

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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By trigonometric functions, the missing sides of the right triangles are:

Case 7: AC = 9.725, BC = 10.071

Case 8: AB = 21.301, BC = 18.807

Case 9: BC = 4.585, AC = 8.999

Case 10: AB = 10.461, BC = 7.774

In this problem we have four cases of right triangles, each of which has a known side and a known angle and we must determine all the missing lengths by trigonometric functions:

sin θ = y / r

cos θ = x / r

tan θ = y / x

Where:

Now we proceed to determine the values of the missing lengths:

Case 7

AC = 14 · sin 44°

AC = 9.725

BC = 14 · cos 44°

BC = 10.071

Case 8

AB = 10 / cos 62°

AB = 21.301

BC = 10 · tan 62°

BC = 18.807

Case 9

BC = 10.1 · sin 27°

BC = 4.585

AC = 10.1 · cos 27°

AC = 8.999

Case 10

AB = 7 / cos 48°

AB = 10.461

BC = 7 · tan 48°

BC = 7.774

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Answer:

Step-by-step explanation:

The number 4/9 is a rational number. It is a ratio, or fraction, made up of two integers, 4 and 9. So a rational number less than 4/9 will be any fraction less.

The actual area of the reservoir in m² as required in the task content is; 0.5m².

It follows from the task content that the actual area of the reservoir is to be determined.

Hence, since it is given that the area of the reservoir on the map is 2cm² and the map has a scale of 1: 2500.

Hence, it follows from proportions that the area of the reservoir is; 2cm² × 2500 = 5000cm².

However, when expressed in m²; the actual area of the reservoir is; 5,000/10000 = 0.5m².

Ultimately, the area of the reservoir in m² is; 0.5m².

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Answer: \((x-5)^2 +(y+4)^2 =25\)

Step-by-step explanation:

The equation of a circle with center \((h, k)\) and radius \(r\) is \((x-h)^2 +(y-k)^2 =r^2\).

So, the equation is \((x-5)^2 +(y+4)^2 =25\).

The equation of the circle in the figure is (x-5)²+(y+4)²=25

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

From the figure the circle has a center at (5, -4) and radius 5

The standard form equation of the circle is (x-h)²+(y-k)²=r²

(h, k) is the center of the circle and r is the radius of circle

Plug in the values of center and r

(x-5)²+(y-(-4))²=5²

(x-5)²+(y+4)²=25

Hence, the equation of the circle in the figure is (x-5)²+(y+4)²=25

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