14. Use the analemma (Figure 3.9) to determine the Sun's declination on the following days of the year. Tip: use a ruler or piece of paper to align the date to the vertical axis. a. January 1: b. February 16: c. May 16: d. July 4 : e. August 16: f. November 16:

Answer:

the answer is B) and E)

Step-by-step explanation:

it's not that complicated, just have to subtract 12 from 37

Answer:This is a right triangle.One of the legs has a length of 20.

Step-by-step explanation:

y = 3x - 1 is the equation in slope-intercept form.

What exactly does slope intercept mean?

y = 3x +b  passes through the point (2,5)

5 = 3 * 2 + b

5 = 6 + b

b = 5 -6

b = -1

y = 3x +b

y = 3x - 1 is the equation in slope-intercept form.

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The value of {b}, for the expression (r⁹s³)(7r²s)ᵇ will be zero.

Given is the expression as -

(r⁹s³)(7r²s)ᵇ

We can write -

(r⁹s³)(7r²s)ᵇ = 0

0/(r⁹s³) = (7r²s)ᵇ

(7r²s)ᵇ = 0

b = 0

Therefore, the value of {b}, for the expression (r⁹s³)(7r²s)ᵇ will be zero.

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Answer:

D

Step-by-step explanation:

D is correct because the sqrt of 91 is 9.5 and 9<9.5<10 makes absolute sense

C is not correct because the sqrt of 33 is 5.7 and 6<5.7<7 does not make sense

B is not correct because the sqrt of 13 is 3.6 and 4<3.6<5 does not make sense

A is not correct because the sqrt of 65 is 8.06 and 7<8.06<8 does not make sense

The largest side of the given triangle is; AB

Let us first find the missing angles of triangle ABC.

The sum of two opposite interior angles is equal to an exterior angle.

Thus;

∠CBA = 104 - 99

∠CBA = 5°

Sum of angles in a straight line is 180°. Thus;

∠CAB = 180 - 104

∠CAB = 76°

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Thus, AB is opposite 99° and as such will be the largest side.

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To discover the coordinates of a polar point, you need to recognize its distance from the origin (the polar axis) and the perspective it makes with the superb x-axis.

The space is commonly denoted via the image r, and the angle is denoted by means of the image θ. To devise a polar point, you start by locating the foundation and drawing a line alongside the polar axis.

Subsequently, you measure the angle θ from the fine x-axis, shifting counterclockwise.

In the end, your degree the distance r from the starting place and plot the factor on the corresponding location.

To find the coordinates of a polar point, you can use the subsequent formulas:

x = r cos(θ)

y = r sin(θ)

Right here, x and y constitute the rectangular coordinates of the factor, while r and θ constitute the polar coordinates.

Those formulas let you convert between polar and rectangular coordinates, which can be useful for graphing and solving problems in diverse branches of mathematics and physics.

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Answer: 41 small pictures

Step-by-step explanation:

The time it will take both the boat and whale to meet is 18 minutes(nearest minutes).

Displacement is defined as the change in position of an object in a specified direction. It is measured in meters and it's a vector quantity.

\(\text{Since velocity} = \bold{displacement/time}\)

\(\bold{displacement} = \text{velocity} \times \bold{time}\)

The total space between the boat and the whale is 5 miles.

Using addition of vectors

\(5= v2t - v1t\)

\(5= 46t - 30t\)

\(5 = 16t\)

\(t= 5\div16 = 0.3 \ hrs\)

To minutes, = 0.3 × 60 = 18minutes(nearest minutes)

Therefore it will take the boat and the whale 18minutes to meet.

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Answer:

-8x^2+2x+5

Step-by-step explanation:

Distributive Property

Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

Answer:

\(x = \sqrt{72\)

Step-by-step explanation:

Given

Number x \(equals\) square root of \(72\)

Required

Rewrite using mathematical symbols

equals is represented as: =

So, we have:

Number x \(=\) square root of \(72\)

Number x can be written as just "x". So, we have:

x \(=\) square root of \(72\)

square root  is represented as: \(\sqrt\). So, we have:

\(x = \sqrt{72\)

Answer:

C. t = 10d

Example:

If i rode the bike for 3 miles then

t = 10(3)

Then,

t = 30

So, the bike was rode for 30 minutes

Answer: your answer will be (b) 0

hope it helps

Answer:

B

Step-by-step explanation:

This is a straight line. Slope is a ratio of the change in y over the change in x

OR

∆y/∆x

∆=change

There is a change in y, which is -1, but there is not any change in x.

We can represent the ratio by writing the fraction -1/0

-1 is the change in y and 0 is the change in x

-1/0 is undefined so the slope of this line is 0 or Choice B

Answer:

you have to get 15 right so for 60% or above so you can miss 9

Step-by-step explanation:

60% of 24 is 14.4 round it up because if down its below 60% and no longer passing but it rounds to 15

Answer: 7

Step-by-step explanation:

Because if 6 is 75% we can conclude 7 is 71%

A) 180 three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6.

B) 75 of these numbers are odd.

C) 105 of these numbers are greater than 330.

A) There are 6 choices for the first digit, 6 choices for the second digit, and 5 choices for the third digit, so the total number of three-digit numbers that can be formed is 6*6*5 = 180.

B) To make number odd we need to fix last digit so the last digit have 3 option (1,3,5) first digit have 5 option and second digit have 5 option so total number is 5*5*3 = 75

C) The total number of numbers formed which are greater than 330 is obtained as shown below:

If the number starts with 3, the second place will be occupied by the digit 3, 4, 5, or 6 and the third place will be occupied by 1, 2, 3, 4, 5 and 6.

The number formed by the digit starts with 3 is  1*3*5 =15

If the digit starts with 4, 5 or 6, the number of digits formed are 3*6*5 =90

So total number greater than 330 is 90+15 =105

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Answer:

ll

Step-by-step explanation:

square root of 121 is 11 since 11x11=121

(i) Assumptions of classical linear regression: linearity, independence, homoscedasticity, no perfect multicollinearity, zero conditional mean, and normality. Violation: perfect multicollinearity between X2, X3, and X4.

(ii) Omitted variable bias occurs when X4 is omitted from the model, leading to a biased estimate of β2 compared to α2 if X2 and X4 are correlated.

In the given model, the assumption of no perfect multicollinearity is violated when the regressors X2, X3, and X4 are defined as the log of per capita GDP, the log of the square of per capita GDP, and the proportion of population with graduation, respectively. X3 is a function of X2, and X4 may be correlated with both X2 and X3. This violates the assumption that the independent variables are not perfectly correlated with each other.

Omitted variable bias in β2 compared to α2 occurs when X4 is omitted from the model. This bias arises because X4 is a relevant explanatory variable that affects the dependent variable (Y), and its omission leads to an incomplete model. The bias in β2 arises from the correlation between X2 and X4. If X2 and X4 are not correlated, β2 will equal α2, and there will be no omitted variable bias. However, if X2 and X4 are correlated, omitting X4 from the model will result in a biased estimate of β2 because the omitted variable (X4) affects both Y and X2, leading to a bias in the estimation of the relationship between Y and X2.

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By multiplying Equation 2 by 6, Yumiko ensures that the coefficient of "x" in both equations is 12, allowing her to add the equations and eliminate the "x" variable.

To eliminate a variable when adding the equations, Yumiko needs to multiply both sides of the other equation by a factor that will make the coefficients of one of the variables the same in both equations. Let's consider the system of equations:

Equation 1: 2x - 3y = 12

Equation 2: ax + by = c

Since Yumiko multiplied Equation 1 by 6, it becomes:

6(2x - 3y) = 6(12)

12x - 18y = 72

To eliminate the variable "x" when adding these equations, we need the coefficient of "x" in Equation 2 to be 12. Therefore, the factor by which Yumiko should multiply both sides of Equation 2 is 6.

6(ax + by) = 6(c)

6ax + 6by = 6c

Now, when we add Equation 1 and the modified Equation 2, the "x" terms will eliminate each other:

(12x - 18y) + (6ax + 6by) = 72 + 6c

(12x + 6ax) + (-18y + 6by) = 72 + 6c

(12 + 6a)x + (-18 + 6b)y = 72 + 6c

By multiplying Equation 2 by 6, Yumiko ensures that the coefficient of "x" in both equations is 12, allowing her to add the equations and eliminate the "x" variable.

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note the full question may be:

A carpenter is building a rectangular table with a length of 4 feet and a width of 3 feet. If the carpenter wants to increase the dimensions of the table by a factor of 2, what should be the new length and width of the table?

Answer:

x = 2 and x = 5

Step-by-step explanation:

What are the roots of an equation?

In simple terms, the roots are simply the x intercepts of an equation.

How to find the roots of a quadratic equation:

We can find the roots of a quadratic equation one of three ways. Here you will learn how to do all three ways.

The first way (easiest way) :

The first way to find the roots of a quadratic equation is to graph the equation on a calculator and find where the equation crosses the x axis ( these are the x intercepts )

If you look at the attached image, you see the given equation x² - 7x + 10 = 0 graphed. The equation passes the x axis at (2,0) and (5,0) meaning the roots are x = 2 and x = 5.

Second way : Using the quadratic formula:

If you don't have a calculator or don't know how to graph the equation this is the best alternative way to find the roots.

The quadratic formula is : \(\frac{-b\pm\sqrt{b^2-4(a)(c)} }{2(a)}\)

Where the values of a,b and c are derived from the quadratic equation which should be written in quadratic form : ax² + bx + c = 0

This is the case here so we can easily define our variables and plug them into our formula

We have "ax² + bx + c = 0" = x² - 7x + 10 = 0 so we can say a = 1 , b = -7 and c = 10

We now plug these into the formula

Recall formula : \(\frac{-b\pm\sqrt{b^2-4(a)(c)} }{2(a)}\)

==> plug in a = 1 , b = -7 and c = 10

\(\frac{-(-7)\pm\sqrt{(-7)^2-4(10)(1))} }{2(1)}\)

==> remove parenthesis from -(-7)

\(\frac{7\pm\sqrt{(-7)^2-4(10)(1))} }{2(1)}\)

==> simplify exponents

\(\frac{7\pm\sqrt{(49-4(10)(1))} }{2(1)}\)

==> simplify all multiplication

\(\frac{7\pm\sqrt{49-40} }{2}\)

==> subtract 40 from 49

\(\frac{7\pm\sqrt{9} }{2}\)

==> simplify sqrt

\(\frac{7\pm3 }{2}\)

==> simplify +/-

\(\frac{7+3 }{2},\frac{7-3 }{2}\\\frac{10 }{2},\frac{4 }{2}\)

==> simplify division

5 , 2

The roots are x = 5 and x = 2

( Note that we used BPEMDAS to evaluate the formula when the values of a,b and c were plugged in. BPEMDAS is simply folllowing an order of operations to ensure you get the right answer. The order is as follows : Brackets , Parenthesis (any operations inside of parenthesis) , Exponents , Multiplication and Division ( do in order going left to right ) , Addition and Subtract ( do in order going left to right )

Also note that the quadratic formula ALWAYS WORKS.

Last way: Factoring

Finally, we can also find the roots by factoring.

We have x² - 7x + 10 = 0

We must first find a number that multiplies to 10 and adds to -7

We can do so by listing the factors of 10

Factors of 10 include , 10 and 1 , -10 and -1 , -5 and -2, and 5 and 2

Out of these we want to find the multiples that add to -7

10 + 1 = 11

-10 + -1 = -11

-5 +  - 2 = -7

5 + 2 = 7

The multiples that add to -7 are -5 and -2 .

From there we want to split the -7 and x² to get (x-5)(x-2)

We then solve the roots by setting the individual factors to 0

x - 5 = 0

==> add 5 to both sides

x = 5

x - 2 = 0

==> add 2 to both sides

x = 2

True. Management science practitioners argue that specific models cannot provide the correct answer in all situations as they are based on assumptions and simplifications of complex real-world problems. Therefore, they should be used as a tool for decision-making rather than relied upon as the only solution.
True, one argument that management science practitioners have against the emphasis on specific models is that they do not always provide the correct answer. This is because real-world situations can be complex and may not fit perfectly within the confines of a single model. It's important to use multiple models and approaches to address complex management problems.

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Answer:

To find the odds of an event occurring, we need to use the formula:

Odds = Probability of the event happening / Probability of the event not happening

In this case, the probability of the event happening is 2/13. The probability of the event not happening is 1 - 2/13 = 11/13.

Plugging these values into the formula, we get:

Odds = (2/13) / (11/13) = 2/11

Therefore, the odds of the event occurring are 2 to 11.

$65,656.57 was borrowed at 7%, $262,626.26 was borrowed at 8%, and $1,181,717.17 was borrowed at 10%.

A system of equations to determine how much was borrowed at each rate if the annual interest was $130,500 is given below.

Let X be the amount borrowed at 7%Y be the amount borrowed at 8% Z be the amount borrowed at 10%

Then, according to the question, the following equations are given:

X + Y + Z

= 1,500,000

X = Y/4Z

= 4X

Interest on the amount borrowed at 7%

= 0.07 X

Interest on the amount borrowed at 8%

= 0.08 Y

Interest on the amount borrowed at 10%

= 0.10 Z

Total annual interest

= $130,500

Then, according to the problem, the following equation is given:

0.07 X + 0.08 Y + 0.10 Z

= 130500

Substitute the values of X and Z in terms of Y as per the given conditions:

Z = 4X then

Z = 4Y

Z = 4X and

X = Y/4

Then, put the above values in the equation

0.07 X + 0.08 Y + 0.10 Z

= 1305000.07 (Y/4) + 0.08 Y + 0.10 (4Y)

= 1305000.0175 Y + 0.08 Y + 0.4

Y = 1305000.4975

Y = 130500

Y = $262,626.26

Then, X = Y/4

= $65656.57 and

Z = 4X

= $262626.26

Thus, $65,656.57 was borrowed at 7%, $262,626.26 was borrowed at 8%, and $1,181,717.17 was borrowed at 10%.

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We save $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.

In the question, we are informed that a bar of soap with dimensions 2 * 4 * 0.5 inches is sold for $3 individually, and a three-pack of the same soap costs $8.

We are asked how much we save per cubic inch of soap if we buy the three-pack.

The volume of one soap bar = 2 * 4 * 0.5 cubic inches = 4 cubic inches.

The cost of one soap bar = $3.

Thus, the per unit cubic inch cost of buying one soap bar = $3/4 = $0.75.

The volume of the three-pack of the same soap = 3 * the volume of one = 3*4 cubic inches = 12 cubic inches.

The cost of the three-pack of the same soap = $8.

Thus, the per unit cost of buying a three-pack of the same soap bar = $8/12 = $0.67.

Thus, the saving per cubic inch of soap if you we the three-pack = $0.75 - $0.67 = $0.08.

Thus, we save $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.

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Answer:

the first one : 4/5 + 3/8

the third one : 7×sqrt(5) - sqrt(245)

the 4th one : 4×sqrt(7) × 2×sqrt(7)

Step-by-step explanation:

per definition, the set of rational numbers is the set of all integers and fractions.

the first answer is simply a prime example of fraction operation, and the result is therefore a fraction again.

the 3rd answer delivers 0, because

sqrt(245) = sqrt(49×5) = 7×sqrt(5). this is a rare occasion where an operation with a non-rational number still delivers a rational result.

the 4th answer squares the square root of 7 creating 7, which creates overall an integer and therefore rational result.

the other options contain at least one number that is not rational and will not be converted or neutralized by the operation.

and the sum and product of a rational with a non-rational number is always non-rational.

sqrt(100) + sqrt(5) = 10 + sqrt(5).

as 5 is not a square number, its square root contains an infinite number of digits after the decimal point without any repeating pattern. this is a real number, not a rational number.

pi is per definition not rational (same thing as for sqrt(5) : infinite number of digits after the decimal point without any repeating pattern).

Answer:

\(f(-1)=-11\\f(0)=16\\f(2)=22\)

Step-by-step explanation:

\(\displaystyle f(-1)=3(-1)-8=-3-8=-11\\f(0)=3(0)+16=16\\f(2)=3(2)+16=6+16=22\)

Answer:

The second option

Step-by-step explanation:

First, simplify the bracket

\( \frac{4r {}^{3} s {}^{2} t {}^{4} }{2r {}^{4} st {}^{6} } \)

Apply Quotient of Powers

\(2 {r}^{ - 1} s {t}^{ - 2} \)

Which equals

\( \frac{2s}{rt {}^{2} } \)

Raise this to the fifth power

\( \frac{32s {}^{5} }{ {r}^{5} t {}^{10} } \)

Multiply by the outsides numbers(5^r^6 and t^4

\( \frac{160 {}^{} r {}^{6}s {}^{5} t {}^{4} }{r {}^{5} t {}^{10} } \)

\(160r {}^{5} t {}^{ - 6} \)

\( \frac{160r {}^{}s {}^{5} }{t {}^{6} } \)

Answer:

8

Step-by-step explanation:

Preety Sure is 8

Answer:

8

Step-by-step explanation:

Since it starts from 6, count by +1 till you get at the blue dot

Answer:

-18w^2 + 6w - 4

Explanation:

Given the expression (6w — 11w^2)-(4+7w^2)

Open the bracket

6w — 11w^2 - 4 - 7w^2

= -11w^2-7w^2 + 6w -4

= -18w^2 + 6w - 4

Hence the required expansion is -18w^2 + 6w - 4

The number of clicks required to zoom in on the front door to make it approximately 3 feet wide on screen will depend on the current size of the image and the level of zoom available on the program being used.

However, assuming a standard zoom level, it is difficult to give an exact number of clicks required without more information. Generally, zoom levels are expressed as a percentage or a ratio of the original size, so it is possible to calculate the required zoom level based on the original size of the image and the desired final size. As a rough estimate, assuming the original image size is standard, it may take around 10-20 clicks of the zoom-in button to reach the desired size of the front door on the screen. However, this is just an approximation and the exact number of clicks will depend on various factors.

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Answer:

20%

Step-by-step explanation:

Percentage discount on the cost of the sofa = 20%

Percentage discount = (Absolute discount / Cost price) × 100

Given,

             Cost price =  $600

Absolute discount  =  Cost price - Selling price

Absolute discount  =  $600 - $480

                                = $120

Percentage discount = (Absolute discount / Cost price) × 100

                                   = (120/600) × 100

                                   = 120/6

                                   = 20%

Hence, percentage discount on the cost of the sofa = 20% .

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