Select the correct answer.
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
A.
-40.85°C
B.
-24.35°C
C.
24.35°C
D.
42.25°

The statement "A disadvantage of electronic questionnaires is that this way of surveying is relatively expensive." is: B. False.

In Science, a sample survey simply refers to a type of observational study that uses various data collection methods such as questionnaires and interviews, which favors it in revealing correlations between two data variables.

In Science, a question can be defined as a group of words or sentence that are developed, so as to elicit an information in the form of answer from an individual such as a student.

In conclusion, an advantage of of electronic questionnaires is that it is a form of sample survey that is relatively less expensive in comparison with other forms of survey.

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Since none of the answer choices match this result, we can select the answer closest to it, which is (c) $10.65. However, it is worth noting that this may not be the exact optimal price

what is optimal price ?

Based on the calculations I performed earlier, the new monthly subscription price that will maximize the income is $9.47 (rounded to the nearest cent). This is the optimal price that the newspaper company should charge for a monthly subscription in order to maximize

In the given question,

Let's start by finding the current total monthly revenue from print subscriptions:

Total monthly revenue = Monthly subscription price x Number of subscribers

Total monthly revenue = $9.30 x 2400

Total monthly revenue = $22,320

Next, we need to determine the new subscription price that will maximize the company's revenue. Let's assume the new subscription price is x dollars. We know that for every $0.10 increase in price, the company loses 20 subscribers. So, the number of subscribers at the new price can be represented as:

Number of subscribers = 2400 - 20((x - 9.30)/0.10)

We can now calculate the new monthly revenue based on the new subscription price and the expected number of subscribers:

Monthly revenue = x(2400 - 20((x - 9.30)/0.10))

To maximize the revenue, we need to find the value of x that will give us the highest monthly revenue. We can do this by taking the derivative of the monthly revenue function and setting it equal to zero, then solving for x:

d(Monthly revenue)/dx = 2400 - 400(x - 9.30)/0.10

0 = 2400 - 400(x - 9.30)/0.10

0 = 2400 - 4000(x - 9.30)

0.1675 = x - 9.30

x = 9.4675

Therefore, the new monthly subscription price that will maximize the income is $9.47 (rounded to the nearest cent).

Since none of the answer choices match this result, we can select the answer closest to it, which is (c) $10.65. However, it is worth noting that this may not be the exact optimal price, as the calculation involved rounding and assumptions were made about the linearity of the relationship between price and subscribers lost.

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Answer:

1/2

Step-by-step explanation:

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

28 * 2 = 56.

Answer:

The answer is B

Step-by-step explanation:

Because I did the test on edge

By direct evaluation we have found the following results about functions and points:

Herein we have three functions and four points which has to be checked with respect to each of these functions. A quick approach consists in evaluating each function at every value of x and choose from the outputs.

Case A

f(1) = 2 · 1 - 5

f(1) = - 3

f(4) = 2 · 4 - 5

f(4) = 3

f(5) = 2 · 5 - 5

f(5) = 5

The points (1, - 3) and (5, 5) are part of the function f(x) = 2 · x - 5.

Case B

f(1) = 2 · 1² - 8 · 1 + 7

f(1) = 1

f(4) = 2 · 4² - 8 · 4 + 7

f(4) = 7

f(5) = 2 · 5² - 8 · 5 + 7

f(5) = 17

The point (1, 1) is part of the function f(x) = 2 · x² - 8 · x + 7.

Case C

f(1) = 2√(1 - 4) + 1

f(1) = NaN

f(4) = 2√(4 - 4) + 1

f(4) = 1

f(5) = 2√(5 - 4) + 1

f(5) = 3

The point (4, 1) is part of the function f(x) = 2√(x - 4) + 1.

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Answer:

85 m²

Step-by-step explanation:

*Multiply length times width (7m x 15m)

*Find the area of the missing space by multiplying the length times the width (4m x 5m)

*Subtract the missing space area from the first calculation

\( \large \bf \implies85 \: {m}^{2} \)

= Length × width

= (15 × 7) = 105 m²

= Length × width

= (5 × 4) = 20 m²

= Area of Rectangle ABCF - Area of Rectangle DEGH

= 105 m² - 20 m² = 85 m²

71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.

tan 71.5°=opp/hyp

tan 71.5°=y/50

y=50(tan 71.5°)

y=50(tan 71.5°)

y=50(2.98868)

y=149.4ft

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The probability that 6 of the selected adults get all their news online is, 8C6(0.45)^6(0.55)^2.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

P = 45% = 0.45

n = 8

X ~ Bin(n, P)

P(X = x) = nCx{Px(1 - P)^n-x},      x = 0, 1, 2, ..., n.

We have to find

P(X = 6) = 8C6(0.45)^6(1 - 0.45)^8 - 6

P(X = 6) = 8C6(0.45)^6(0.55)^2

Hence, the probability that 6 of the selected adults get all their news online is, 8C6(0.45)^6(0.55)^2.

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Answer:

a) 2^3 × 3 × 5

b) 2^2 × 3 × 5^2

Answer:

a=126

Step-by-step explanation:

Answer:

3/10 + 19/100 = 0.49

Step-by-step explanation:

just breathe and read it carefully. no need for panic. all you need is common sense, nothing fancy.

the tools and definitions to use are given in the description. we only need to use them.

the height of the point of view is 44 + 6 = 50 ft (because the eyes are again 6 ft above the top of the hill, and we are dealing with what the eyes can see).

so, the seeable distance D in miles is then

D = sqrt(2×50) = sqrt(100) = 10 miles

she will be able to see approximately 10 miles to the horizon.

Answer:

x > 19/20

Step-by-step explanation:

hope it's helpful

Answer:

x> 19/20

Step-by-step explanation:

To determine whether a relation R is antisymmetric, we need to examine the matrix of R relative to some ordering. If all diagonal entries of the matrix are 1, then R is antisymmetric. If there exists a diagonal entry of 0 and the corresponding entries above and below the diagonal are both 1, then R is not antisymmetric.

To determine whether a relation R is antisymmetric or not, we need to examine the matrix of R relative to some ordering. An antisymmetric relation R is one in which if (a, b) and (b, a) belong to R, then a = b. That is, there cannot be two distinct elements a and b such that both (a, b) and (b, a) are in R.
To examine the matrix of R, we need to represent R as a matrix. If the domain and range of R are finite sets A and B, respectively, then the matrix of R relative to some ordering is an A × B matrix M, where the (i, j) entry of M is 1 if (a_i, b_j) is in R and 0 otherwise.
To check whether R is antisymmetric, we need to examine the diagonal entries of M. If all diagonal entries of M are 1, then R is antisymmetric. Otherwise, if there exists some diagonal entry of M that is 0 and the corresponding entries of M above and below the diagonal are both 1, then R is not antisymmetric.
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Answer:

x=17

Step-by-step explanation:

you have to use the 2 secants rule

8(8+13) = 7(7+x) distribute in parenthesis

64+ 104 = 49 +7x  isolate variable

64+104-49 = 7x combine like terms

119 =7x divide both sides by 7

17 =x

\( \red{\large\underline{\sf{Solution-i}}}\)

Given that,

\( \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2\)

and

\(\rm \longmapsto\:g(x) = x - 2\)

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

\(\rm \longmapsto\:p(2)\)

\(\rm \:  =  \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2\)

\(\rm \:  =  \: 16 - 8 - 4 - 4\)

\(\rm \:  =  \: 16 - (8 + 4 + 4)\)

\(\rm \:  =  \: 16 - 16\)

\(\rm \:  =  \: 0\)

\(\rm\implies \:p(2) \: = \: 0\)

So,

\(\bf\implies \:g(x) \: is \: factor \: of \: p(x)\)

\( \red{\large\underline{\sf{Solution-ii}}}\)

\(\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1\)

and

\(\rm :\longmapsto\: g(x) = x + 1\)

Now, By using Factor Theorem, Consider

\(\rm \longmapsto\:p( - 1)\)

\(\rm \:  =  \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1\)

\(\rm \:  =  \: - 2 + 1 + 2 + 1\)

\(\rm \:  =  \: 2\)

\(\rm\implies \:p( - 1) \: \ne \: 0\)

So,

\(\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)\)

Answer:

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

explanation:

pls make me brainliest

Answer:

All vertical lines have an equation in the form x=... The number indicates the x -intercept. The line x=0 is the equation for the y-axis.

Since x=5 is a vertical line, there is no y-intercept and the slope is undefined.

Answer:

the line of symmetry. It's like a mirror.

Step-by-step explanation:

Answer:

\(x=-2 \ \ \ and \ \ \ y=1\)

Step-by-step explanation:

Suppose numbers are x and y

Product of x and y is -2

\(xy=-2\)

And sum of x and y is -1

\(x+y=-1\)

\(x=-2 \ \ \ and \ \ \ y=1\)

Answer:

18.3824%

Step-by-step explanation:

Sorry, this may be wrong. I am using an old skill, so it may be wrong.

Answer: 127

Step-by-step explanation:

By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.

To solve the given equation we have to do the factorization.

What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors.  In other words, we can say finding what to multiply together to get an expression.

To do the factorization, we have to follow the steps as shown below:

 \(x^{2} +3x-40\) \(= 0\)

\(-40 = 8 * -5\\\)                        [ multiplication of 8 and -5 is -40]

\(x^{2}+8x-5x -40\) \(= 0\)

\(x(x+8) -5(x+8)\) \(= 0\)

\((x-5)(x+8)\) \(= 0\)

\(x = 5\)   and  \(x = -8\)              [ The roots or zeroes]

From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.

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The sales tax rate on the commodity is 5.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

In this situation, Terrance paid $1.43 in sales tax on a purchase of $26.

The percentage on the sales tax will be:

= Sales tax / Purchase × 100

= 1.43 / 26 × 100

= 5.5%

In conclusion, the rate is 5.5%.

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Answer:

radius = \(\sqrt{26}\) units

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Using the distance formula to calculate r

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (1, - 3)

r = \(\sqrt{(1-2)^2+(-3-2)^2}\)

  = \(\sqrt{(-1)^2+(-5)^2}\)

   = \(\sqrt{1+25}\)

    = \(\sqrt{26}\)

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Answer: 17.6

Step-by-step explanation:

The answer to the nearest tenth B. 17.6 ft

Word issues commonly encompass mathematical modeling questions, where information and facts about a positive device are given and a scholar is needed to develop a version. for instance: Jane had $5.00, then spent $2.00. How lots does she have now?

A proven step-by-step approach for solving word problems is sincerely quite simple.

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