Which of the following scenarios
is the best way to think about
wires with low resistance?
A. drinking a milkshake out of a long, wide straw
B. drinking a milkshake out of a short, wide
straw
C. drinking a milkshake out of a long, narrow
straw
D. drinking a milkshake out of a short, narrow
straw

Answer:

B. 21

Step-by-step explanation:

2y=35+7

2y=42

y=42/2

y=21

Answer:

A regular triangle has an order of rotational symmetry of 3 and three lines of symmetry.

A rhombus has an order of rotational symmetry of 2 and two lines of symmetry.

The order of rotational symmetry is the number of times a figure can be rotated by less than a full turn and still look the same.

The lines of symmetry are imaginary lines that divide a figure into two identical halves. In both cases, the number of lines of symmetry is equal to the number of sides.

Therefore, a regular triangle has an order of rotational symmetry of 3 and three lines of symmetry while a rhombus has an order or rotational symmetry of 2 and two lines of symmetry.

Answer:

The function y=x^(3) shifted to the left 5 units can be represented as y=(x+5)^(3).

A statement which is true include the following: D. Questions on questionnaires should be worded to enable respondents to provide specific answers.

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 such as randomly selecting skydivers and interviewing them about their motivations.

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.

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Complete Question:

Which of the following statements is true?

A. The best questionnaires provide as many open-ended questions that contain multiple possible responses to enable respondents to be creative with answers.

B. Questionnaires must avoid the use of any multiple choice questions.

C. Questionnaires should contain no more than 3 questions to avoid respondents from becoming tired filling out the surveys.

D. Questions on questionnaires should be worded to enable respondents to provide specific answers.

Answer:

B, C, E

Step-by-step explanation:

there is not much to say and explain.

when you put -3 into the place of x and do the calculations, you see.

-(-3)² - 3×-3 = -9 + 9 = 0

-(-3 + 3)² = -(0)² = 0

2×-3 - 3(-3 + 1) = -6 - 3(-2) = -6 + 6 = 0

The cubing function, shifted 7 units upward, can be represented by the equation:

y = x^3 + 7

In this equation, the "cubing" function is represented by the term x^3. The "shifted" term is represented by the constant 7, which indicates that the graph of the function has been shifted 7 "units" upward from the original cubing function y = x^3.

To graph this function, you would start by graphing the original cubing function y = x^3. Then, you would shift the entire graph 7 units upward by adding 7 to the y-values of each point on the graph.

For example, the point (1, 1) on the original cubing function would become the point (1, 8) on the shifted function. Similarly, the point (-2, -8) on the original function would become the point (-2, -1) on the shifted function.

By shifting all of the points on the original function 7 units upward, you would obtain the graph of the cubing function, shifted 7 units upward.

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The correct option is B) 4(15 + 11), is the way to write the given equation by using greatest common factor.

The highest number that can precisely split two or more specified numbers is known as the greatest common factor (GCF).

You must determine the factors of every number in order to determine the highest number that comprises the factor of every other number in order to determine the greatest common factor.

The given equation is:

= 60 + 44

Find the prime factors of each number:

60 = 2x2x3x5

44 = 2x2x11

So,

taking common factors: 2x2 = 4 from both numbers:

= 4(15 + 11)

Thus, using the greatest common factor for the terms, we can write 60 + 44 as a product of 4(15 + 11).

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Answer:

Step-by-step explanation:

The percent error is given by the formula:

percent error = |(measured value - actual value) / actual value| x 100%

Substituting the given values, we get:

percent error = |(16.1 - 16.3) / 16.3| x 100%

percent error = |-0.2 / 16.3| x 100%

percent error = 0.01227 x 100%

percent error ≈ 1.23%

Therefore, the percent error of the measurement, to the nearest tenth of a percent, is 1.2%.

Here are some operations that can be performed with the given sets:

A union B: This is the set of all integers, since every integer is either even or odd (but not both).

A intersection B: This is the empty set, since there are no integers that are both even and odd.

C union D: This is the set {2, 3, 4, 5, 16, 17, 18, 19}.

C intersection D: This is the empty set, since there are no integers that belong to both C and D.

Note that the problem does not ask a specific question, so there may be other operations that are of interest, depending on the context.

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The function F(x)=4x₄-8x²+1 There is a local minimum of -3 at 1 . The second local minimum at -1.

To determine a second local minimum for the function F(x)=4x₄-8x²+1 , we need to find the critical points of the function and then use the second derivative test to determine if the critical point is a local minimum.

Find the first derivative of the function:
F'(x) = 16x^(3)-16x

Set the first derivative equal to zero to find the critical points:
16x³-16x=0
16x(x²-1)=0
x=0, x=1, x=-1

Find the second derivative of the function:
F''(x) = 48x²-16

Plug in the critical points into the second derivative to determine if they are local minimums:
F''(0) = -16 (negative, so this is a local maximum)
F''(1) = 32 (positive, so this is a local minimum)
F''(-1) = 32 (positive, so this is a local minimum)

Therefore, the second local minimum is at x=-1.

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Answer:

The volume of a cube is given by the formula V = s^3, where s is the length of a side of the cube. In this case, the length of a side is 11.4 centimeters with a possible error of + - 0.04 centimeters.

To find the possible error in the value of the volume of the cube, we can use the formula for the maximum error in a product:

max error in V = |V| * (max error in s / s)

where |V| is the absolute value of the volume, and max error in s is the maximum possible error in the measurement of the side.

Substituting the given values, we get:

max error in V = |11.4^3| * (0.04 / 11.4)

max error in V = 538.516 * 0.00351

max error in V = 1.89 cubic centimeters (rounded to two decimal places)

Therefore, the estimate for the possible error in the value of the volume of the cube is 1.89 cubic centimeters

The 95% confidence interval for the population percentage of presidents who were taller than their opponents is [0.40, 0.85].

Opponents are people or groups that are in competition with each other or are in opposition to one another. They may be competing for a prize, resources, or a particular goal. In sports, opponents will often compete against each other in a game or match. In politics, opponents may be running against each other in an election or advocating different policies. In business, opponents may be competing for customers or market share. In any situation, opponents strive to do better than the other in order to gain an advantage.

This suggests that greater height is likely an advantage for presidential candidates because the confidence interval does not include 0. Therefore, it is likely that taller candidates are more likely to win presidential elections.

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The expressions are evaluated to give;

a. 1/-6x²

b. 2/3

Note that index forms are models that are used to write numbers or variables that are too large or small in more convenient forms.

In indices, it is known that any number that is raised to the power or exponent 0 is 1.

For example:

x° = 1

y° = 1

z° = 1

Then, we have the expressions;

-6x⁻², this is represented as;

1/-6x²

Also, we have;

2x°/-3

Since x° = 1

substitute the value

2/3

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Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

The probability of selecting a figure is 3/13, or 0.23, or 23%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

In a standard deck of 52 playing cards, there are 12 face cards.

These faces are known as figures.

This includes the Jacks, Queens, and Kings in each of the four suits.

Now,

The probability of selecting a face card from a standard deck of 52 playing cards is.

The probability of selecting a face card

= number of face cards / total number of cards

= 12 / 52

= 3 / 13

= 0.23

= 0.23 x 100

= 23%

Thus,

The probability of selecting a figure from a standard deck of 52 playing cards is 3/13, or 0.23, or 23%.

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The complete question.

'What is the probability that the selected card is a figure

The function values are interpreted as:

Appropriate domain for the function is

The given function for determining financial aid is:

(e) = 10000 + 1000s

Where:

e: the amount of financial aid provided to the applicant

s: the number of siblings (including half-siblings and step-siblings) that the applicant has living in their household.

To find the interpretation of the given function values, we need to plug in some values for s. Let's try s=0 and s=2.

When s=0, the function becomes:

(e) = 10000 + 1000(0) = 10000

This means that an applicant with no siblings will receive $10,000 in financial aid.

When s=2, the function becomes:

(e) = 10000 + 1000(2) = 12000

This means that an applicant with two siblings will receive $12,000 in financial aid.

The problem does not specify the threshold. However, we can assume that the domain of the function is the set of all non-negative integers, since the number of siblings in a household cannot be negative. In other words, the function is defined for all values of s greater than or equal to zero.

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The solution to the quadratic equation is 2x² - 4x + 3 = 0 is  x = 1 ±√2i/2.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation is 2x² - 4x + 3 = 0.

To solve the quadratic equation:

2x² - 4x + 3 = 0.

Factorize the quadratic equation,

we get,

x = {-(-4) ± √(16 - 4 x 2 x 3)}/2x 2

x = 4 ±2√2i/2

x = 1 ±√2i/2

Therefore, the solution to the equation is x = 1 ±√2i/2.

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Answer:

Step-by-step explanation:

To find the volume created by revolving the area between the curve y = x^2 + 1 and the line y = 10 about the line y = 10, we can use the method of cylindrical shells.

First, we need to find the limits of integration. Since the curve and the line intersect at y = 10 and y = x^2 + 1 = 10, we have x^2 = 9, which gives us x = ±3. So, our limits of integration are from x = -3 to x = 3.

Next, we need to find the radius of each cylindrical shell. The distance between the line y = 10 and the curve y = x^2 + 1 is simply 10 - (x^2 + 1) = 9 - x^2.

Finally, we can set up the integral to find the volume:

V = ∫ from -3 to 3 2π(9 - x^2)(x) dx

We multiply by 2π since we are revolving around the line y = 10 and we integrate with respect to x.

Evaluating the integral, we get:

V = 2π ∫ from -3 to 3 (9x - x^3) dx

V = 2π [(4.5x^2 - 0.25x^4) from -3 to 3]

V = 2π [(4.5(3)^2 - 0.25(3)^4) - (4.5(-3)^2 - 0.25(-3)^4)]

V = 2π [27 - 6.75]

V = 42.39π

Therefore, the volume created by revolving the area between the curve y = x^2 + 1 and the line y = 10 about the line y = 10 is approximately 42.39π cubic units.

In response to the question, we may say that As a result, the solution is: expression  Down is the translation direction.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

Calculate the difference vector between Y and Y' to find the translation direction and number of units necessary to translate Y to Y'.

Y' - Y' difference vector

= (2, -2) - (2, 5) (2, 5)

= (0, -7) (0, -7)

This indicates that Y must be translated 7 units down to correspond to Y'.

As a result, the solution is:

Down is the translation direction.

7 units are available.

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Answer:

5.7

Step-by-step explanation:

to find the distance from -0.8 and 4.9. You add the distance each number is way from 0.

0.8+4.9=5.7

Answer:

Step-by-step explanation:

Since segment AB is the perpendicular bisector of CD, it means that point M is the midpoint of segment CD and the two line segments MC and MD are congruent.

Therefore, we can conclude that statement (1) is always true: CB = DB, as both segments are congruent to MC and MD, respectively.

Statements (2), (3), and (4) are not necessarily true based on the information given.

Answer:

36.5255 cm²

Step-by-step explanation:

Examining the figure we can see 3 figures and by symmetry these are
2 semicircles and a trapezoid

Area of a semicircle = 1/2 area of circle
Area of circle of diameter d = πr² where r is the radius
r = d/2

so area of semicircle of diameter r = 1/2 π r²

The top semicircle has diameter = 4 cm, radius r = 2 cm

The top semicircle has diameter = 7 cm , radius = 7/2 cm

Area of top semicircle =1/2 x  π x 2²
= 1/2 x  π x 4
= 2π cm²
= 6.2832 cm²

Area of bottom semicircle = 1/2 x π x (7/2)²
= 1/2 x π x 49/4
= 49/8 π
= 19.2423 cm²

Area of both semicircles =  6.28318  + 19.24225
= 25.5255 cm²

Area of the trapezoid is given by
[tex]\dfrac{a + b}{2}h[/tex]

where
a and b are the two bases(the parallel sides) and h is the vertical distance between them

In the trapezoid segment we see
a = 4, b = 7 and h = 2

Therefore area of trapezoid segment =  [tex]\dfrac{4 + 7}{2} \cdot 2 = 11 \;cm^2[/tex]

Area of the composite figure
= 25.5255 + 11
= 36.5255 cm²

Answer:

$52.94

Step-by-step explanation:

Cost of the pizza with radius 4 in.= 7 $

Cost ∝ Square of its radius

⇒  7= 4²x

    7= 16x

    x= [tex]\frac{7}{16}[/tex]

Cost of the pizza with radius 11 in.= 11²x (Cost ∝ Square of its radius)

                                                        = 121 x [tex]\frac{7}{16}[/tex]

                                                        = [tex]\frac{847}{16}[/tex]

                                                        = 52.9375

                                                        = 52.94 $

∴ a pizza with radius 11 in. costs $52.94

Step 1: Convert zeros to factors of the polynomial.

The allows us to convert zeros of -2, -1, and 3 into the factors (x+2)(x+1)(x-3).

This gives us the foundation of the polynomial, but it's missing a key piece, the leading coefficient which causes the vertical stretch/compression to hit the desired point.

So right now we have y = a · (x+2)(x+1)(x-3)

Step 2: Find "a".

This is where the point (1,12) comes in.  We need to substitute x=1 and y=12 into the equation above to find a.

       12 = a · (1+2)(1+1)(1-3)

       12 = a · (3)(2)(-2)

       12 = a · (-12)

        -1 = a

That's the full function:

   f(x) = -1 (x+2)(x+1)(x-3)

So a candy bar costs $0.75. So a magazine costs $1.25.

In mathematics, an equation is a statement that two expressions are equal. It contains one or more variables and may also contain constants and coefficients. The values of the variables that make the equation true are called solutions or roots of the equation. Equations are used in a wide range of mathematical applications, including algebra, calculus, geometry, and physics. Solving equations involves manipulating the expressions in the equation to isolate the variable and determine its value.

Here,

Let's use algebra to solve the problem. Let's assume that the cost of a magazine is "m" dollars and the cost of a candy bar is "c" dollars.

From the first sentence, we can write an equation:

3m + c = 4.5

From the second sentence, we can write another equation:

2m + 2c = 4

We now have two equations and two variables. We can use the method of substitution to solve for one variable in terms of the other. Let's solve for "c" in the second equation:

2m + 2c = 4

2c = 4 - 2m

c = 2 - m

We can now substitute this expression for "c" into the first equation:

3m + c = 4.5

3m + (2 - m) = 4.5

Simplifying:

2m = 2.5

m = 1.25

We can now use the equation we found earlier to solve for the cost of a candy bar:

c = 2 - m

c = 2 - 1.25

c = 0.75

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Answer:

10 weeks

Step-by-step explanation:

500-200=300

200= 10 weeks subtracting 20 dollars

For rhombus ABCD , all the  statement about the angles is true.

In Euclidean geometry, a rhombus is a form of the quadrilateral. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal. This is a rhombus' fundamental characteristic. A rhombus has a diamond-shaped form. Thus, it is also known as a diamond.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus. Rhombi or rhombuses are the plural forms of a rhombus.

In a rhombus, neighbouring angles are supplementary and the opposing angles are equal. Using these qualities

DOA = DOC is accurate because the opposite angles are equal.

BOA = DOC: Since opposing angles are equal, this assertion is accurate.

Nearby angles are supplementary, therefore BAO + BOA = 180.

BAD = BCD: As the opposite angles are equal, this assertion is accurate.

As a result, none of the claims are untrue and all of them are true.

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Answer:

Not appropriate for quantitative data.

Step-by-step explanation:

A bar chart or pie chart is often used to display categorical data. These types of displays, however, are not appropriate for quantitative data. Quantitative data is often displayed using either a histogram, dot plot, or a stem-and-leaf plot.

Answer:

the experimental probability of being struck by lightning in this city is approximately 0.56667%.

Step-by-step explanation:

The experimental probability of an event happening is calculated by dividing the number of times the event occurred by the total number of trials or observations. In this case, the event is being struck by lightning, and the trials are the total number of people in the city.

The number of people struck by lightning is given as 85, and the total population of the city is 1.5 million. To find the experimental probability of being struck by lightning in this city, we can divide the number of people struck by lightning by the total population and multiply by 100% to express the answer as a percentage:

Experimental probability = (number of people struck by lightning / total population) * 100%

Experimental probability = (85 / 1,500,000) * 100%

Experimental probability = 0.0056667 * 100%

Experimental probability = 0.56667%

Therefore, the experimental probability of being struck by lightning in this city is approximately 0.56667%.

The quotient of the expression or polynomial is given as

-2 x+4

Generally, Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0 .

[tex]$$2 x + 3 |{ - 4 x ^ { 2 } + 2 x - 1 }$$[/tex]

Divide the highest order term in the dividend $-4 x^2$ by the highest order term in divisor $2 x$

Multiply the new quotient term by the divisor.

[tex]$$\begin{aligned}& -4 x^2-6 x \\&\end{aligned}$$[/tex]

The expression needs to be subtracted from the dividend, so change all the signs in

[tex]$$\begin{gathered}-4 x^2-6 x \\-2 x \\2 x + 3 | { 4 x ^ { 2 } + 2 x - 1 } \\+4 x^2+6 x\end{gathered}$$[/tex]

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

[tex]$$\begin{aligned}& \frac{+4 x^2+6 x}{+8 x} \\&\end{aligned}$$[/tex]

solving further

Multiply the new quotient term by the divisor.

[tex]$$\begin{aligned}& \frac{+4 x^2+6 x}{+8 x-1} \\& +8 x+12 \\&\end{aligned}$$[/tex]

The expression needs to be subtracted from the dividend, so change all the signs in

[tex]$$\begin{gathered}8 x+12 \\2 x+3-4 x+4 \\\frac{+4 x^2+2 x-1}{+6 x} \\+8 x-1 \\-8 x-12\end{gathered}$$[/tex]

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

[tex]$$\begin{gathered}-2 x+4 \\2 x + 3 | { - 4 x ^ { 2 } + 2 x - 1 } \\\frac{+4 x^2+6 x}{+8 x-1} \\\frac{-8 x-12}{-13}\end{gathered}$$[/tex]

The quotient is -2 x+4

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y = 3x + 1

the slope is 3 and the y intersect is 1

Answer:

y = 3x + 1

the slope is 3 and the y intersect is 1

Step-by-step explanation: