what's the answer? pls help

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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Complete question is;

In 1990​, a magazine collected data and published an article evaluating dryers. It listed 45 ​models, giving the​ brand, cost​ (dollars), size​ (cu ft),​ type, estimated annual energy cost​ (dollars), an overall rating​ (good, excellent,​ etc.), and repair history for that brand​ (percentage requiring repairs over the past 5​ years).

The​ W's are​ Who, What,​ When, Where,​ Why, and hoW.

1) Identify the Who. Choose the correct answer below.

A. 45 models of dryers

B. Dryers

C. Brands of dryers

D. Size of dryers dryers

2) Identify the What. Choose the correct answer below.

A. ​Brand, type, overall rating

B. ​Brand, cost,​ size, type, estimated annual energy​ cost, overall​ rating, repair history

C. Cost, size, estimated annual energy​ cost, repair history

D. ​Brand, cost,​ size, type

3) Identify the When. Select the correct choice below​ and, if​ necessary, fill in any answer boxes within your choice.

A. The data were recorded in 1990.

B. The information is not provided.

4) Identify the Where. Choose the correct answer below.

A. The 45 models of dryers

B. The information is not provided.

C. The population of dryers

5) Identify the Why. Choose the correct answer below.

A. To provide information to the magazine's readers

B. To write an article about dryers

C. To compare the size of the dryers

D. To collect information about dryers

6) Identify the hoW. Choose the correct answer below.

A. The different dryers belonged to the​ magazine's employees.

B. The dryers were chosen at random.

C. The information is not provided.

7) Identify each variable as either categorical or quantitative.

Brand

▼

Categorical

Quantitative

Estimated annual energy cost

▼

Quantitative

Categorical

Cost

▼

Categorical

Quantitative

Overall rating

▼

Categorical

Quantitative

Size

▼

Quantitative

Categorical

Repair history

▼

Quantitative

Categorical

Type

▼

Categorical

Quantitative

8) For each quantitative​ variable, determine the units in which it was measured.

Cost

▼

Dollars

Not specified

Pounds

Estimated annual energy cost

▼

Dollars

Pounds

Not specified

Size

▼

Cubic inches

Cubic feet

Feet

Inches

Not specified

Repair history

▼

Years

Percentages

Not Specified

Answer:

All answered below.

Step-by-step explanation:

1) Option A: 45 models of dryers

2) Option B: ​Brand, cost,​ size, type, estimated annual energy​ cost, overall​ rating, repair history

3) Option A: The data were recorded in 1990.

4) Option B: The information is not provided.

5) Option A: To provide information to the​ magazine's readers

6) Option C. The information is not provided.

7) - Brand variable is Categorical

- Estimated annual energy cost variable is Quantitative

- Cost variable is Quantitative

- Overall rating variable is Categorical

- Size variable is Quantitative

- Repair history variable is Quantitative

- Type variable is Categorical

8) - cost​ is in dollars)

- estimated annual energy cost​ is in dollars

- size​ is in cu. ft

- repair history is in percentages

The probability of tossing "heads" on each of your first two tosses is 0.25

Probability = n(E)/n(S)

Where E is the possibility of an event occurring

and S is the sample space i.e., the total number of possible outcomes.

Probability is the measure of how likely an event can happen. The probability of any event lies between 0 and 1 only.

The sample space for when you toss one coin is - H, T

So the probability to get an H is= 1/2

=0.5

Similarly, The sample space for when you toss two coins is HH, TT, HT, TH

So, the probability to get an H on each of your first two tosses is = 1/4

=0.25

Therefore, The probability of tossing "heads" on each of your first two tosses is 0.25

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The set of partial derivatives with respect to parameters at each data point.

def calc_jacobian(x, p):

   jacobian = np.zeros([len(x), len(p)])

   for i in range(len(x)):

       for j in range(len(p)):

           jacobian[i][j] = (2 * p[j] * x[i]**j)

   return jacobian

Partial derivatives are a type of derivative in calculus that are used to measure the rate of change of a function with respect to a single independent variable, while holding the other variables constant. They are denoted with a symbol called a partial derivative operator, which is a curved d with a line over it. Partial derivatives are used to calculate derivatives in multivariable functions and to find the maximum or minimum points of a function. Partial derivatives can also be used to analyze the behavior of functions near a point, or to solve equations involving multiple variables.

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Answer:

14π or 43.96

Step-by-step explanation:

C = 2πr and we know that r = 7 so C = 14π or 43.96.

The image of the function f(x) = x² is equal to g(x) = x² - 1.

In this problem we find the definition of a quadratic equation f(x) = x² and the graph of the image, whose expression must be derived. By direct inspection, we notice that the image is a vertical translation of the parent function. Vertical translations are defined by the following formula:

f(x) → f(x) + k, k > 0 for an upward translation.

If we know that f(x) = x² and k = - 1, then the equation for the image is:

g(x) = x² - 1

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Answer:

C

Step-by-step explanation:

first

let 3x-y= -2

here after rearranging fin the different values of x and y w. r. t the equation then shade the upper region of the line

similarly do with the second one equation and then mark the line as dotted and shade the below part of the equation of the line and then find the common shaded area

After considering all the given data we come to the conclusion that the value of w is 7.2 units.

Given we have a triangle XWV, that has only base length determined that is 10 units.
Let us apply the law of sines to evaluate the value of side w. The law of sines projects that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides.
w / sin(36°) = 10 / sin(84°)
Evaluating for w, we get:
w = (10 × sin(36°)) / sin(84°)
w is approximately equal to 7.2 units.
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Answer: 2, 3, 6, 7

Step-by-step explanation:

Supplementary is two angles adding up to 180. The angles above with angle 5 add up to 180.

ANSWER and EXPLANATION

The measure of angle 1 is greater than 97° and at most 115° (that means less than or equal to)

This means that:

From the diagram, angle 1 is equal to (9x + 7). This is because they are alternate interior angles.

This therefore means that:

Solve for x:

Therefore, the number line graph of the possible range of values of x is:

That is the number line.

Answer:

40w + 16p ≤ 2000

Step-by-step explanation:

let 'w' = jugs of water

let 'p' = cases of paper

the area of shading will include negative values which you can ignore because those values do not apply to this problem

Answer:  x= -7/2     x=1

Step-by-step explanation:

You first need to bring all terms to 1 side and make =0

Assuming there is a + in front of 14

2x²+14x=-9x+7

2x²+5x-7=0      

multiply the first and last find 2 numbers that multiply to that number and add to the middle

+7 and -2   multiply to -14 but add to 5  substitute those numbers for the 5x

2x²+7x-2x-7    see how the 7x-2x is actually 5x. Just making it look diff

(2x²+7x)(-2x-7)  put parentheses around the 1st 2 terms and last to group.  This is not your factoring.  you are going to take the GCF (greatest common factor from both)

x(2x+7)-1(2x+7)   if the items in the parentheses are same, you did a good job so far. What is in the parenthesesis one of your factors and whatever leftover is your other

(2x+7)(x-1)    =0   now set each =0 and solve for x

2x+7=0            x-1=0

2x=-7

x= -7/2             x=1

The percent change in Pilar's shell collection from the beginning of the day to the end is,  22.5%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Pilar has 40 shells in her collection.

She collects 6 more shells in the morning and 3 more shells in the afternoon.

The percent change in Pilar's shell collection from the beginning of the day to the end = ?

At the beginning of the day, Pilar has 40 shells.

In the morning, she collects 6 more shells, bringing her total to

= 40 + 6

= 46 shells.

Then, in the afternoon, she collects 3 more shells, bringing her total to

=46 + 3

= 49 shells.

To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:

percent change = (final value - initial value) / initial value * 100%

Plugging in the values we have:

percent change = (49 - 40) / 40 x 100%

percent change = 9 / 40 x 100%

percent change = 22.5%

Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.

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Answer:

x=5 and h=5*sqrt(2)

Step-by-step explanation:

It's an isosceles right triangle, x=5. Use Pythagoras and compute h

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

x-25y-50

Step-by-step explanation:

simplifying an expression means getting rid of the parantheses and writing it in the simplest form

5(\(\frac{1}{5} x-5y-10)\)=

\(5*\frac{1}{5} x-5*5y-10*5\\x-25y-50\)

Answer:

\(x-25y-50\)

Step-by-step explanation:

\(5\left(\frac{1}{5}x-5y-10\right)\)

\(5\cdot \frac{1}{5}x-5\cdot \:5y-5\cdot \:10\) .......multiply 5 with everything inside the bracket

\(x-25y-50\)     ...........final answer.

Answer:

undefined

Step-by-step explanation:

division by zero is undefined

Division Property of zero

For any nonzero real number a

The quotient of "a" and 0 is undefined. That is a/0 is undefined

The integral test compares an infinite sum to an improper integral and is the test that can only be applied when we are considering a series whose terms are all positive.

1) For a series ∑n=1∞aₙ to converge, the nth term an must satisfy aₙ→0

 as n→∞.

Therefore, from the algebraic limit properties of sequences,

lim k→∞a k = lim k→∞(S k−S k−1)=limk→∞S k−lim k→∞S k−1 = S−S = 0.

Therefore, if  ∑n=1∞aₙ converges, the nth term an→0 as  n→∞. An important consequence of this fact is the following statement:

If aₙ↛0 as n→∞,∑n=1∞aₙ diverges

The integral test compares an infinite sum to an improper integral. It is important to note that this test can only be applied when we are considering a series whose terms are all positive.

2) The sum of the areas of the rectangles is less than the sum of the area of the first rectangle and the area between the curve f(x)=1/x2 and the x -axis for x≥1

Since the area bounded by the curve is finite, the sum of the areas of the rectangles is also finite.

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Answer:

The Answer is 4V10

Step-by-step explanation:

Answer:

6x^2-17x+12

Step-by-step explanation:

took the test

Here's the answer and the procedure:

The relative frequency for the class with lower class limit 15 is:

R = 10/41 = 0.244

Let's suppose you have a set of N elements, such that K of these N elements has a given property.

Then the relative frequency for the elements with that given property is:

R = K/M

By looking at the table, we can see that the total number of students is:

T = 10 + 6 + 5 + 9 + 3 + 8 = 41

And 10 belong to the class with the lower class limit 15, then the relative frequency for that class is:

R = 10/41 = 0.244

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Answer:

a) 34 students scored below an 81%

b) Interval 81-100

c) 34.6 rounded to 35% of students scored no higher than 60%

d) 38.4% of students scored at least 81%

Step-by-step explanation:

a) the frequency refers to the number of students and each of the bars shows how many students got into a certain range of scores. So you would count the frequency for 4 of the ranges except for the last one.

b) interval 81-100 contained the most scores as it has the highest frequency

c) 2+4+12= 18 students scored no higher than 60%, the total number of students is 52 students. So to get the answer you would divide

18/52= 0.346 x 100= 34.6= 35%

d) 20/52= 0.384 x 100= 38.4%

Answer:

4

Step-by-step explanation:

20 x 0.80

16 - 20

Answer:

4 questions

Step-by-step explanation:

4 wrong = 80%

Answer:

Step-by-step explanation:

9.25, 9.325, 9.5, 9.675,

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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Answer:

62° & 54°

Step-by-step explanation:

Answer 21 :-

We know that the measure of a straight line is 180° .

Answer 22:-

Answer:

62° & 54°

Step-by-step explanation:

Answer 21 :-

We know that the measure of a straight line is 180° .

x + 118° = 180°

=> x = 180° - 118°

=> x = 62°

Answer 22:-

2x + 1 + 71 = 180

=> 2x = 180 - 72  

=> 2x = 108

=> x = 54°

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

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

Simplifying:

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

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

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

Subtracting 2 from both sides:

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

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Answer:

319 in

Step-by-step explanation:

22x29=638

638÷2=319