radians and degrees
180° irc =

The contract between Expert Pavers, Inc., and Fabricated Building Corporation for repaving Fabricated's parking lot includes various elements that are essential to the agreement and its enforceability.

A contract is a legally binding agreement between two or more parties that outlines the rights and obligations of each party. In the case of Expert Pavers, Inc., and Fabricated Building Corporation, the contract for repaving the parking lot encompasses several elements. First, there must be an offer from one party, which in this case is Expert Pavers, Inc., to perform the repaving services. Fabricated Building Corporation must then accept the offer and agree to pay for the services provided. This acceptance can be expressed orally, in writing, or even implied by the conduct of Fabricated Building Corporation. Furthermore, for a contract to be valid, there must be consideration, meaning that each party must provide something of value to the other. In this situation, Expert Pavers, Inc., provides the repaving services, and Fabricated Building Corporation provides payment. Additionally, the contract should clearly define the scope of work, timeline, and any other specific terms or conditions agreed upon by both parties. It is crucial for contracts to be clear, unambiguous, and mutually agreed upon to ensure enforceability and protect the rights of both parties involved.

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Answer: -7+2

Step-by-step explanation:

The answer is:

-5

Step-by-step explanation:

Rememember that subtracting a negative is the same as adding a positive:

\(\sf{a-(-b)=a+b}\)

Similarly,

\(\sf{-7-(-2)=-7+2}\)

Simplify:

\(\sf{-5}\)

Answer:x<-3

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

\(-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3\)

It is highly unlikely that a firm in this industry will earn less than 103 million dollars.

z = (x - μ) / σ

z = (103 - 9090) / 1515 = -5.38

The probability of a firm earning less than -5.38 standard deviations from the mean is very low, approximately 0.00000003. This means that the probability of a randomly selected firm earning less than 103 million dollars is extremely low, less than 0.00000003 or 0.000003%.

Probability is a mathematical concept that measures the likelihood of an event occurring. It is a way to quantify uncertainty and express it as a numerical value between 0 and 1. A probability of 0 indicates that the event is impossible, while a probability of 1 indicates that the event is certain.

Probabilities can be calculated using various methods, including the classical, empirical, and subjective approaches. The classical approach is based on the assumption that all outcomes are equally likely, while the empirical approach is based on observed data. The subjective approach involves using personal beliefs and opinions to estimate the probability of an event.

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The correct label is ∠CBA.

The correct label for the angle formed by rays BC and BA is ∠CBA. When  Angles labeling , it is important to consider the vertex of the angle, which is the point where the two rays meet. The vertex is usually labeled with a capital letter, and the angle itself is labeled with three letters, with the vertex letter in the middle. In this case, the vertex is at point B, and the two rays are BC and BA. Therefore, the angle is labeled as ∠CBA. It is important to use the correct labeling when communicating about angles in mathematics, as it ensures clarity and accuracy in solving problems and expressing ideas.

The correct label for the angle formed by rays BC and BA is ∠CBA.

Therefore, in this case, the correct label for the angle formed by rays BC and BA is ∠CBA.

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Answer:

The answer is <CBA

Step-by-step explanation:

Bc if the vertex is on "b" its going to be {bc} and {ba}. and sinces the vertex is in the middle in the image so should the letter. So its <CBA.

hope this helps

Answer:

1 inch

Step-by-step explanation:

The correct statements about the equation are b, c, and e.

\(\rm 4.9x-(-3)=12.8\\\\ 3+4.9x=12.8\\\\12.8=4.9x+3\)

The highest power of the polynomial is called the degree of the polynomial.

We have to determine

Which equation accurately represents this statement?

Statement; Negative 3 less than 4.9 times a number, x, is the same as 12.8.

Then,

The equation accurately represents this statement is;

\(\rm 4.9x-(-3)=12.8\\\\4.9x+3=12.8\\\\4.9x=12.8-3\\\\4.9x=9.8\\\\x=\dfrac{9.8}{4.9}\\\\x=2\)

Hence, the correct statements about the equation are b, c, and e.

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Answer:

b,c,e

Step-by-step explanation:

Answer:

numerator

Step-by-step explanation:

Answer:

Numerator

Step-by-step explanation:

Numerator is at the top while on the bottom is the denominator.

Solution:

First, we need to find out the amount for one kilogram. Since 100 grams = 30 pesos, and 1000 grams = 1 kilogram, we need to multiply it by 10.

30 x 10 = 300

Now we have the amount for 1 kilogram. Now in order to get the amount for 8 kilograms, we need to multiply it by 8.

300 x 8 = 2400 pesos

Answer:

The answer is 2,400 pesos.

Check:

30 x 10 = 300 So 300 pesos for a kilogram

300 x 8 = 2400 So 2400 pesos for 8 kilograms.

The probability that the tested subject was actually affected by the z-virus given a negative test result is approximately 2.16%.

To find the probability that the tested subject was actually affected by the z-virus given a negative test result, we can use Bayes' theorem. Let A be the event that the subject is infected by z-virus, and B be the event that the test result is negative. We want to find P(A|B), the probability that A occurs given that B occurs.

We know that P(A) = 0.1, the probability that a random person in the world is infected by z-virus. We also know that the test has a 98% true positive rate and an 88% true negative rate. In other words,

P(B|A) = 0.98 (the probability of a positive test result given that the subject is infected)

P(B|A') = 0.88 (the probability of a negative test result given that the subject is not infected)

Using Bayes' theorem, we can calculate P(A|B) as follows:

P(A|B) = P(B|A)P(A) / [P(B|A)P(A) + P(B|A')P(A')]

Plugging in the values, we get:

P(A|B) = 0.98 * 0.1 / [0.98 * 0.1 + 0.88 * 0.9]

P(A|B) ≈ 0.0216 or 2.16%

This means that even if the test result is negative, there is still a small chance (2.16%) that the tested subject is actually infected by z-virus.

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Main Answer: the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.

Supporting Question and Answer:

How can we find the sum of an infinite geometric series and apply it to simplify the expression ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠?

To determine the sum of an infinite geometric series, we use the formula

S = a / (1 - r). By applying this formula and simplifying the expression, we can determine that the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.

Body of the Solution:

To find the value of the expression ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠, let's break it down step by step.

First, let's consider the first sum,

∑n=0∞arn:

∑n=0∞arn = a^0r^0 + a^1r^1 + a^2r^2 + a^3r^3 + ...

This is a geometric series with the common ratio of r.

Substituting the values into the sum of the geometric series's formula, we get:

∑n=0∞arn = a / (1 - r)

Next, let's consider the second sum,

∑n=1∞arn:

∑n=1∞arn = a^1r^1 + a^2r^2 + a^3r^3 + ...

This is also a geometric series with the common ratio of r. Similarly,

∑n=1∞arn = a × (r / (1 - r))

Now, let's substitute these values back into the original expression:

⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ = ⎛⎝a / (1 - r)⎞⎠ − ⎛⎝a * (r / (1 - r))⎞⎠

Simplifying this expression:

=  \(\frac{(a - ar)}{(1 - r)}\)

= \(\frac{a(1-r)}{(1-r)}\)

= a

Final Answer:

Therefore, the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.

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The linear function will be represented as h(x) = -3x - 10.5. The correct option is A.

The terms "linear function" in mathematics refer to two different but related ideas: A linear function is a function with a graph that is a straight line in calculus and related fields.

The given data in the table is:-

X   -7.5     -3.5      -1         2

Y    12         0       -7.5    -16.5

The linear function can be written as:-

y = mx + c

m = ( 0 - 12 ) / ( -3.5 + 7.5 )

m = -12 / 4

m = -3

The y-intercept will be:-

y = mx + c

0 = ( -3 x -3.5 ) +c

c = -10.5

The linear function is:-

h(x) = -3x - 10.5

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As per the details given, the sequence 2, 5, 8, …, 332 has 111 terms.

The formula for the nth term of an arithmetic series can be used to find the number of terms in the given sequence:

nth term = a + (n - 1) * d

Here,

nth term is the value of the term at position n

a is the first term of the sequence

n is the position of the term

d is the common difference between consecutive terms

In this case, the first term (a) is 2, and the common difference (d) is 3, as each term increases by 3.

We need to find the value of n when the nth term is 332. Plugging the values into the formula:

332 = 2 + (n - 1) * 3

Simplifying the equation:

330 = (n - 1) * 3

Dividing both sides by 3:

110 = n - 1

n = 111

Therefore, the sequence has 111 terms.

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Answer:

Answer:

We can find two other points on the line passing through (1,5) and (3,-1) by using the slope-intercept form of a line: y = mx + b where m is the slope of the line, and b is the y-intercept.

To find the slope (m) of the line, we can use the formula: m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two given points: m = (-1 - 5) / (3 - 1) = -6 / 2 = -3

To find the y-intercept (b) of the line, we can use one of the given points and substitute the values of x, y and m into the equation y = mx + b.

Plugging in the coordinates of the point (1,5) and the value of m: 5 = -3(1) + b, b = 8

So the equation of the line is y = -3x + 8

We can use this equation and any x value to find two other points on the line. For example, if we choose x = -2, we get y = -3(-2) + 8 = 2

so the point (-2,2) is on the line.

If we choose x = 0, we get y = -3(0) + 8 = 8

so the point (0,8) is on the line.

So two other points on the line passing through (1,5) and (3,-1) are (-2,2) and (0,8)

If I helped you, could you please make my answer best?

Answer:

x + y = 4

m = -1

Step-by-step explanation:

(3 - 5) / (1 - (-1))

m = -2/2

(y - 5) = -1 × (x - (-1))

y - 5 = - x - 1 = 0

Answer:

T = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4=2/5t + 2

Step 2: Flip the equation.

2/5t + 2 = 4

Step 3: Subtract 2 from both sides.

2/5t + 2 − 2 = 4 −2

2/5t = 2

Step 4: Multiply both sides by 5/2.

(5/2) *(2/5t)= (5/2) *(2)

Answer:

t=5

Answer:

t=5

Step-by-step explanation:

4=2+2/5 t

Subtract 2 from both sides

2=2/5 t

Multiply 2/5 by its reciprocal on both sides so multiply by 5/2

(5/2) times 2 is 5

so t is 5

Answer:

49

Step-by-step explanation:

Ok, so Lets start
The problem is 6p-17 and when p its 11

So it would be like this
6(11) - 17 = 66 - 17 which means it is 49

Oh, and it would be 6x11 btw.

Answer:

1⁷/15

Step-by-step explanation:

2¾(3⅜-1½)

using the rule of BODMAS

change the fractions in the bracket into improper fraction

2¾(27/8-3/2)

find LCM of the fractions in the bracket

2¾(27-12)/8

2¾(15/8)

convert the other mixed fraction to an improper fraction

11/8(15/8)= 5.15625~ 5.2

(a) The percentage of college graduates who support drilling for oil and natural gas off the coast of California is 35.16%, and the percentage of non-college graduates who support it is 33.94%.

(b) The calculated test statistic is 1.20, which is less than the critical value of 1.96. Therefore, we fail to reject the null hypothesis, and we do not have enough evidence to conclude that the proportion of college graduates who support off-shore drilling in California is different than the proportion of noncollege graduates who support it.

We divided the number of supporters in each group by the total number of respondents in that group and multiplied by 100. We found that 154 out of 438 college graduates (35.16%) and 132 out of 389 non-college graduates (33.94%) in the sample support drilling for oil and natural gas off the coast of California.

We set up the null and alternative hypotheses and chose a significance level of 0.05. We calculated the test statistic using the formula for a two-sample z-test for proportions. We found that the calculated test statistic (1.20) is less than the critical value of 1.96, so we fail to reject the null hypothesis. Therefore, we conclude that there is not enough evidence to suggest that the proportion of college graduates who support off-shore drilling in California is different than the proportion of noncollege graduates who support it.

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The equation of the tangent line to the curve at t = 1 is y + 2x - 9 = 0.

(a) Sketch the curve and indicate its orientation.

The curve represented by the parametric equations x(t) = -5t and y(t) = -t² has the following graph for -2 ≤ t ≤ 2 and its orientation is in the second and third quadrants:

 The curve opens to the left and it passes through the point (-10, 100) when t = 2, and passes through the point (0, 0) when t = 0.

(b) Find the equation of the tangent line to the curve at t=1.

Using the parametric equations of the curve, we can get the first derivative of the curve y'(t) as follows:

                          y'(t) = dy(t) / dt = -2t

To get the slope of the tangent line to the curve at t = 1, we substitute t = 1 into the derivative of the curve to get:

                               y'(1) = -2(1) = -2

The slope of the tangent line to the curve at t = 1 is -2.

The point (x(1), y(1)) on the curve corresponding to t = 1 is (x(1), y(1)) = (-5(1), -(1)²) = (-5, -1).

Hence the equation of the tangent line at point (x(1), y(1)) is given by the point-slope form:y - y(1) = m (x - x(1))where m is the slope of the tangent line.

Substituting the slope and the coordinates of the point into the above equation, we have:

                                   y - (-1) = -2(x - (-5))

Simplifying the equation above, we get:y + 2x - 9 = 0

Hence, the equation of the tangent line to the curve at t = 1 is y + 2x - 9 = 0.

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Explanatory variables in a regression model are typically considered to be random when they are subject to variability or uncertainty. There are several reasons why explanatory variables may be treated as random:

Measurement error: Explanatory variables may be measured with some degree of error or imprecision. This measurement error introduces randomness into the values of the variables. Accounting for this randomness is important to obtain unbiased and accurate estimates of the regression coefficients.

Sampling variability: In many cases, the data used to estimate the regression model are obtained through sampling. The values of the explanatory variables in the sample may differ from the true population values due to random sampling variability. Treating the explanatory variables as random helps capture this uncertainty and provides more robust inference.

Random assignment in experiments: In experimental studies, researchers often manipulate or assign values to the explanatory variables randomly. This random assignment ensures that the variables are not influenced by any underlying factors or confounders. Treating the explanatory variables as random reflects the randomization process used in the experiment.

By considering the explanatory variables as random, we acknowledge and account for the inherent variability and uncertainty associated with them. This allows for a more comprehensive and accurate modeling of the relationships between the explanatory variables and the response variable in regression analysis.

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Answer:

x = 0.3384663

Step-by-step explanation:

Answer:

\({ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1\)

Answer:

y = 4x-7

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

4x-y = 7

Subtract 4x from each side

-y = -4x+7

Multiply each side by -1

y = 4x-7

Answer:

it still 11/295

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Jane and her sister planted vegetables in 4/9 portion of the family garden.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Jane's family divided up their garden so that 2/3 of the garden will have vegetables.

Now, In that 2/3 portion, they planted 2/3 of that portion.

Therefore, The portion of the family garden will Jane and her sister plant is,

= (2/3)×(2/3).

= 4/9.

So, Jane and her sister planted 4/9 portion.

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