Y+2=1/4 x in standard form

The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.

From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.

The perimeter for each desk will be:

= 324 / 3

= 108

The perimeter is calculated as:

= 2(length + width)

This will be

2(length + width) = 108

2(length + 30) = 108

2l + 60 = 108

Collect like terms

2l = 108 - 60

2l = 48

Divide

l = 48/2

l = 24

The length is 24 inches.

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To describe y as the sum of two orthogonal vectors, x1 in the span{u} and x2 orthogonal to u , we follow two steps procedure:

1.First, find a vector x1 in the span{u} that is the projection of y onto u. To do this, use the formula:
  x1 = (y • u / ||u||^2) * u, where • represents the dot product and || || represents the magnitude of the vector.

2.Next, find the vector x2 that is orthogonal to u. Since y can be represented as the sum of x1 and x2, you can find x2 by subtracting x1 from y:
  x2 = y - x1

3.Now, you have y as the sum of two orthogonal vectors x1 and x2, with x1 in the span{u} and x2 orthogonal to u.

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99% Confidence Interval for the Population Percentage of Defective Disks = (0.1004, 0.1196).

Rules for Decimals. Align up the decimal points. To ensure that every one of the values have the same number of places following the decimal, add 0s. Add the same way you would with complete numbers.

Step 1:

Sample Size: n=7002

Number of non-defective disks =6232

Number of defective disks: x = 7002-6232=770

Sample proportion \(\widehat{p}\) = x/n = 770/ 7002 = 0.110

Estimated proportion of disks which are defective: Sample proportion: \(\widehat{p}\) = 0.110

Step 2:

Range of confidence for the population proportion:

\(=\widehat{p}\pm z_{\alpha /2}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

\(\alpha = (100-99)/100 = 0.01; \alpha/2 = 0.005\)

99% Confidence interval =

\(=\widehat{p}\pm z_{0.005}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

from standard normal tables z0.005 = 2.58

99% Confidence Level for the Population Percentage of Defective Disks =

\(=\widehat{p}\pm z_{0.005}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

\(=0.11\pm 2.58\sqrt{(0.11(1-0.11))/7002}\)

\(=0.11\pm 2.58\sqrt{(0.110\times 0.89)/7002}=0.11\pm 2.58\sqrt{\frac{0.0979}{7002}}\)

\(=0.11\pm 2.58\times 0.0037 = 0.11\pm 0.0096 =(0.1004, 0.1196)\)

99% Confidence interval for population proportion of disks which are defective= (0.1004, 0.1196).

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Answer:

a And b same number but different in sign. for example-5+5=0

Answer:

Inverse variation here gives out a function \(xy=(-32)\).

Step-by-step explanation:

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases. While direct variation describes a linear relationship between two variables, inverse variation describes another kind of relationship.

An inverse variation can be represented by the equation

\(xy=k \\or \\y=kx\). That is, y varies inversely as x if there is some nonzero constant k.

Here, the product is given by

\(xy=(-4)\)×\(8\)

\(xy=(-32)\)

We will be plotting the graph of the function \(xy=(-32)\)

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Answer:

y=3x-2

Step-by-step explanation:

We know the equation ends in -2 because when x is zero, y is -2

To find the rest of the equation take any other point and take away the -2 from y

Then divide the y by the x to see how may times larger (or smaller) the y is then the x

(I chose -14)

-12÷-4=3

y=3x

the put the -2 back at the end because otherwise, your -14 would be a -12 and that is not a point on the table

( x - 4 )^2 + ( y + 7 )^2 = 53

...................................................

Answer:

The polygon has 13 sides.

Step-by-step explanation:

The sum of the interior angles of a polygon is (n - 2) * 180, where n is the number of sides. This formula can be set equal to the sum of the interior angles to determine how many sides it has.

(n - 2) * 180 = 1980

180n - 360 = 1980

180n = 2340

n = 13

Answer:

Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.

Step-by-step explanation:

The inequality that describes the solution is 3x < 12.

The cost of each pineapple is less than $4.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number of pineapples = 3

Cost of each pineapple = x

Now,

The cost of all the 3 pineapples = less than $12.

The cost of 3 pineapples.

3x < 12

x < 12/3

x < 4

Thus,

The inequality is 3x < 12.

The cost of each pineapple is less than $4.

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Answer:

-8

Step-by-step explanation:

Convert the equation from standard form into slope-intercept form by....

(Parallel lines have the same slope.. so the slope = -\(\frac{2}{3}\))

Create and equation using the slope and the point (k,7)

Solution :  k = -8

Answer:

28

Step-by-step explanation:

I think because the formula for the volume of a rectangular prism is whl

2x + 9

=2(-5) + 9

= -10 +9

= -1

Answer:

That would be C. -1

Answer:

  A, B, E

Step-by-step explanation:

You want to identify the exterior angles in the triangle figure shown.

An exterior angle to a triangle is an angle that forms a straight angle with the adjacent interior angle of the triangle.

The exterior angle to angle 5 is angle 6.

The exterior angles to angle 1 are angle 2 and angle 4.

These are listed in choices A, B, and E.

<95141404393>

The value of the given integral after the calculation is 54π/5.

here,

we consider the given data and try to simplify the integral

The integral is ∭Ey2 dV that is over the solid hemisphere x2+y2+z2≤9, y≥0x2+y2+z2≤9, y≥0.

The evaluation of the given integral can be possible using spherical coordinates. Furthermore, the solid hemisphere can also be described as 0≤θ≤π/2 and 0≤Ф≤2π.

therefore,

spherical coordinates are Ey² = (ρsinΦ)²= ρ²sin²φ

now, the Jacobian for the given spherical coordinate is r²sinθ

now,

∭Ey2 dV =∭ρ²sin³φr²sinθdρdθdφ

=∫\(0^{(\pi /2)}\) ∫\(0^{(\pi /2)}\) ∫\(0^{3}\)ρ⁴sin³φ sinθdρdθdφ

=(3⁵/5) x (1/2) x (2/3)

=54π/5

The value of the given integral after the calculation is 54π/5.

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Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) \(\sqrt{32} = 2^{\frac{5}{2} }\)

\(2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}\)

Thus, the equation is TRUE.

(2) \(16^{\frac{3}{8} } = 8^2\)

\(16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64\)

Thus, the equation is FALSE.

(3) \(4^{\frac{1}{2} } = \sqrt[4]{64}\)

\(4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}\)

Thus, the equation is FALSE.

(4) \(2^8 = (\sqrt[3]{16} )^6\)

\(2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256\)

Thus, the equation is TRUE.

(5) \((\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\\)

\(8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4\)

Thus, the equation is FALSE.

To find the consumer's and producer's surplus, we need more information about the demand and supply functions or the market equilibrium.

You provided the demand function D(x) = 25, but we require additional details to proceed with the calculations. The consumer's surplus is the difference between the maximum price consumers are willing to pay and the price they actually pay. It represents the benefit or surplus gained by consumers in a market transaction.

The producer's surplus is the difference between the minimum price producers are willing to accept and the price they actually receive. It represents the benefit or surplus gained by producers in a market transaction.

To calculate these surpluses, we typically need information about the supply function, equilibrium price, and equilibrium quantity. These values help determine the areas of the consumer's and producer's surpluses on the supply-demand graph.

Please provide the necessary information about the supply function, equilibrium price, or any other relevant details so that I can assist you in calculating the consumer's and producer's surplus accurately.

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To find the set of parametric equations for the rectangular equation y = 3x - 4, we need to express x and y in terms of a parameter, say t. Let us assume that t = 0 at the point (4, 8).

First, we can write x in terms of t as x = 4 + at, where a is some constant. To find the value of a, we can use the fact that y = 3x - 4. Substituting x = 4 + at in this equation, we get y = 3(4 + at) - 4 = 12 + 3at. So, the set of parametric equations for y and x are:

x = 4 + at
y = 12 + 3at

Note that these parametric equations are not unique. We could have chosen a different parameterization, say t = 1 at the point (4,8), and obtained a different set of parametric equations. However, the given condition specifies the starting point and therefore determines the parameterization.

In summary, we can find a set of parametric equations for a rectangular equation by expressing x and y in terms of a parameter, using the given condition to determine the starting point, and choosing a suitable parameterization.

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Answer:

38°

Step-by-step explanation:

Complimentary angles add up to 90°, so simply subtract 52 from 90 and you have your answer! ^^

Answer:

1/2

Step-by-step explanation:

Step-by-step explanation:

slope is 4, y-intercept is (0,5)

The graph of function f(x) = 4[x] + 5 described below

The given function is

f(x) = 4[x] + 5

Here [ ]  represents greatest integer function

We know that

The greatest integer function is one that returns an integer that is closer to the provided actual value.

It is also known as the step function.

The biggest integer function returns the nearest integer to the provided number.

As a result, the formula for finding the biggest integer is rather straightforward.

It is denoted by the symbol [x], where x can be any value.

Now plotting the graph of function.

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Answer:I don’t understand the question

Step-by-step explanation:

Answer:

D. The prism is missing a sixth face, which should be colored white.

The prism is missing a sixth face, which should be colored white.

We have given that,

A net with 5 faces. 3 rectangles are stacked. The top and bottom rectangles are shaded blue.

The middle rectangle is white. An orange rectangle is connected to the left of the top blue rectangle, and another is connected to the right of the bottom blue rectangle.

Juan is drawing the two-dimensional net of a rectangular solid, but he made a mistake.

We have to determine what error did Juan make, and how can he correct it.

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Therefore we get,

The prism is missing a sixth face, which should be colored white.

The correct statement is The prism is missing a sixth face, which should be colored white.

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The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Answer:

7 17/99

Step-by-step explanation:

Step-by-step explanation:

The triangle is an Isosceles Right.

Answer:

(x -3)² + (y - 2)² = 4

Step-by-step explanation:

Equation of circle:

     (x - h)² + (y - k)² = r²

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

(h, k) = (3 , 2) and r = 2

From the graph, the perpendicular distance from the point (3,0) at x-axis to the center gives the radius.

   (x - 3)² + (y -2)² = 2²

   (x - 3)² + (y -2)² = 4

The value of (x, y) as shown in the equation is (2.4, -2.6)

An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication and division.

Given the equation:

-2 = 10 - 5x    (1)

and:

-3y = -4x + 15    (2)

From equation 1 using elimination method:

-2 = 10 - 5x

5x = 12

x = 2.4

substitute x = 2.4 in equation 2:

-3y = -4(2.4) + 15

-3y = 7.8

y = -2.6

The value of (x, y) is (2.4, -2.6)

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