It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.
A. cube
B. cylinder
C. sphere
D. cone​

The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer:

To solve the equation (4x - 24) + x = 14, we can start by combining like terms on the left side of the equation:

4x - 24 + x = 14

Next we'll add the x terms together and the constants together:

5x - 24 = 14

Then we'll add 24 to both sides to get all the x terms on one side:

5x = 38

Finally we'll divide both sides by 5 to find the value of x:

x = 7.6

So the solution to the equation is x = 7.6

Answer:

N/12 -10

Step-by-step explanation:

Answer:

StartFraction n Over 12 EndFraction minus 10 (A)

Step-by-step explanation:

According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.

According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.

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answer: 60.00

Based on the given conditions, formulate:: 4000x
((1.5%+1)12/12-1)

Evaluate the equation/expression:: 60

Round 60 to the required place rounding: 60.00

Answer:

d yes it is a function for a specific taxable income at the end of the year you will pay only one income tax amounts

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

After solving,  41.67 Hz wing beats the dragonfly performs per second.

In the given question, if the video is shot at 190 frames per second, then we have to find how many wing beats the dragonfly performs per second.

From the given question,

Frames per one wing beat = 6 frames

Video shot at = 250 frames per second

We firstly find the time period

So, Time period (T) = 6/250

T= 0.024 s

Snce we have to find how many wing beats the dragonfly performs per second.

Per second number of wing beats = 1/T

Per second number of wing beats = 1/0.024

Per second number of wing beats = 41.67 Hz

Hence, 41.67 Hz wing beats the dragonfly performs per second.

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The right question is;

A frame by frame analysis of a slowmotion video shows that a hovering dragonfly takes 6 frames to complete one wing beat.

If the video is shot at 190 frames per second, how many wing beats does the dragonfly perform per second?

On a number line, the distance between any number and itself is always 0. Therefore, the distance between 6 and 6 is 0.

The distance between 24 and 17 can be calculated by subtracting the smaller number from the larger number, considering only the magnitude: |24 - 17| = 7.

Similarly, the distance between 17 and 24 can be calculated as |17 - 24| = 7. The absolute value ensures that the distance is always positive, regardless of the order of subtraction.

For the distance between a variable "t" and 4, the answer depends on the relationship between t and 4. If t is smaller than 4, the distance is expressed as |t - 4|. If t is greater than 4, the distance is expressed as |4 - t|. In either case, the absolute value ensures a positive value.

The distance between any numbers a and b on the number line can be calculated as |a - b|.

The relationship between |p - q| and |q - p| is that they are equal. The absolute value function disregards the sign of the argument, so whether you subtract p from q or q from p, the result will have the same magnitude. Therefore, |p - q| = |q - p|.

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Answer:

7

Step-by-step explanation:

Answer:

the answer is c.......

The recurrence relation N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1) represents the number of ways to spend all the money when we have a certain amount of dollars and four options for spending it: milk, juice, coffee, and cookies.

Let's denote the number of ways of spending all the money as N(n), where n represents the amount of money we have. Our goal is to find the recurrence relation for N(n).

To start, let's consider the base cases. When n = 0, it means we have no money left. In this case, there is only one way to spend the money, and that is by not buying anything. Therefore, N(0) = 1.

Now, let's consider the cases when n > 0. We have four options for spending the money: milk, juice, coffee, and cookies. Let's analyze each option separately.

If we decide to buy milk, it costs $2. After buying milk, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying milk is equal to N(n - 2).

If we decide to buy juice, it also costs $2. After buying juice, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying juice is equal to N(n - 2).

If we decide to buy coffee, it costs $3. After buying coffee, we are left with n - 3 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 3). Therefore, the number of ways of spending all the money when buying coffee is equal to N(n - 3).

If we decide to buy cookies, it costs $1. After buying cookies, we are left with n - 1 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 1). Therefore, the number of ways of spending all the money when buying cookies is equal to N(n - 1).

Now, let's consider the total number of ways to spend all the money when considering all the options. Since each option is independent, we can add up the number of ways for each option. Therefore, the recurrence relation for N(n) can be expressed as:

N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1)

This recurrence relation allows us to compute the number of ways of spending all the money for any given amount of money. By using dynamic programming techniques, we can start with the base case N(0) = 1 and compute the values of N(n) iteratively until we reach the desired amount of money.

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Answer:

4) 10

Step-by-step explanation:

The number with x is slope and the other number is y-intercept so it's 10

sin(2t) = 2(79)cos(t). cos(2t) = √(1 - 79^2) - 79^2. tan(2t) = (2(79)cos(t))/((√(1 - 79^2) - 79^2).

To find the exact value of sin(2t), cos(2t), and tan(2t) algebraically without solving for t, we can use trigonometric identities.

Let's start with sin(2t). By using the double-angle identity for sine, we have:

sin(2t) = 2sin(t)cos(t)

Since t is in quadrant I, both sin(t) and cos(t) are positive. Therefore, we can substitute sin(t) = 79 into the equation:

sin(2t) = 2(79)cos(t)

Moving on to cos(2t), we can use the double-angle identity for cosine:

cos(2t) = cos^2(t) - sin^2(t)

Substituting sin(t) = 79 and cos(t) = √(1 - sin^2(t)) = √(1 - 79^2) into the equation, we get:

cos(2t) = √(1 - 79^2) - 79^2

Finally, let's find tan(2t) using the identity:

tan(2t) = sin(2t)/cos(2t)

Substituting the values we found for sin(2t) and cos(2t):

tan(2t) = (2(79)cos(t))/((√(1 - 79^2) - 79^2)

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Answer:

An equation in​ point-slope form of the line that passes through the given point and with the given slope m = 4 will be:

\(y-1 = 4(x-(-4))\)

Step-by-step explanation:

Given

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

here:

substituting the values m = 4 and the point (-4, 1) in the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

\(y-1 = 4(x-(-4))\)

Thus,

An equation in​ point-slope form of the line that passes through the given point and with the given slope m = 4 will be:

\(y-1 = 4(x-(-4))\)

Note: It can further be simplified

\(y-1=4\left(x+4\right)\)

Add 1 to both sides

\(y-1+1=4\left(x+4\right)+1\)

\(y=4x+17\)

The slopes are equal, and the equation is showing a proportional relationship.

The slope of a line is a measure of its steepness.

Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Proportional relationships are relationships between two variables where their ratios are equivalent.

1) Given that, Δ PQR and  Δ STU are similar triangles, we need to show that they have equal slope,

Line PR is passing by points (-6, 4) and (-8, 7) and the line SU is passing by points (-4, 1) and (0, -5)

Slope = y₂-y₁ / x₂-x₁

Finding the slopes :-

Line PR = 7-4 / -8+6 = -3/2

Line SU = -5-1 / 4 = -6/4 = -3/2

Therefore, we get the slopes equal.

2) Given is an equation, y = 3x/4

The proportionality equation is given by :- y = kx, where k is the proportionality constant,

The given equation is following the proportionality equation, therefore is showing a proportional relationship.

Hence, the slopes are equal, and the equation is showing a proportional relationship.

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The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."

This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.

Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.

Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.

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Graphing is a way to visually represent data or information in a clear and concise manner. It can help to identify trends, patterns, and relationships between variables.

Graphs come in many different types, including bar graphs, line graphs, scatter plots, and pie charts.

The type of graph used will depend on the nature of the data and what you want to communicate.

Graphing can be useful in a variety of fields, including science, economics, finance, and business.

For example, a line graph can be used to show changes in stock prices over time, while a scatter plot can be used to identify correlations between two variables, such as age and income.

Graphing requires careful attention to detail and accuracy in order to produce clear and meaningful visual representations of data. It is an important tool for anyone who wants to better understand and communicate information.

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Among the given functions, the function (ii) x^2 + 1/x^2 - 1 satisfies all of the following descriptions: (a) it has a horizontal asymptote of y = 1, (b) the x-axis is a horizontal asymptote, (c) it is symmetric about the y-axis, (d) it is an odd function, and (e) it has vertical asymptotes at x = ±1.

(a) To have a horizontal asymptote of y = 1, the function should approach 1 as x tends to positive or negative infinity. The function (ii) satisfies this condition.

(b) For the x-axis to be a horizontal asymptote, the function should approach 0 as x tends to positive or negative infinity. None of the given functions satisfy this condition.

(c) A function is symmetric about the y-axis if f(-x) = f(x) for all x in its domain. The function (ii) satisfies this condition.

(d) An odd function is symmetric about the origin. None of the given functions satisfy this condition.

(e) To have vertical asymptotes at x = ±1, the function should approach infinity or negative infinity as x approaches ±1. The function (ii) satisfies this condition.

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Answer:

b is the answer

Step-by-step explanation:

Answer:

  6/x²

Step-by-step explanation:

Rational expressions are added the same way numerical fractions are added. Their sum is the quotient of the sum of numerators, and the common denominator.

__

The given fractions already have the same denominator, so we simply add their numerators.

  \(\dfrac{2}{x^2}+\dfrac{4}{x^2}=\dfrac{2+4}{x^2}=\boxed{\dfrac{6}{x^2}}\)

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

The statement that is true about the box plot is that More of the children were close to 12 years old than 6 years old.

A box plot is known to be a kind of plot that shows at least five-number that acts as the summation of all the set of a given data.

Conclusively, in the case above, the box plot is said to be showing the a lot of children whose age are close to 12 years old more than those who are 6 years old.

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Answer:

The answer is C

Step-by-step explanation:

The equation for the line in point-(1, 1) is y = -0.5x + 0.5.

Given that the slope of the line below is -0.5. We are to enter the equation for the line in point-(1, 1).The equation for the slope-intercept form of the line is y = mx + c where m is the slope and c is the y-intercept.

Now, the slope of the line is given as -0.5.Therefore, the equation for the slope-intercept form of the line is y = -0.5x + c. Now we need to find the value of c for the equation of the line.

To find the value of c, substitute the values of x and y in the equation of the slope-intercept form of the line.

Given that the point is (-1,1), x=-1 and y=1y = -0.5x + c⇒ 1 = (-0.5) (-1) + c⇒ 1 = 0.5 + c⇒ c = 1 - 0.5⇒ c = 0.5

Therefore, the equation for the line in point-(1, 1) is y = -0.5x + 0.5.The slope of a line refers to how steep the line is and is used to describe its direction. Slope is defined as the vertical change between two points divided by the horizontal change between them.A positive slope moves up and to the right, while a negative slope moves down and to the right. If a line has a slope of zero, it is said to be a horizontal line.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept, or the point at which the line crosses the y-axis. To find the equation of a line with a given slope and a point, we can use the point-slope form of a linear equation.

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Answer:

  16°

Step-by-step explanation:

The trig function tangent relates an acute angle of a right triangle to the measures of the adjacent and opposites sides. Those are the sides given here, so the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(?) = 14/49 = 2/7

When the tangent of the angle is known, the inverse tangent function can be used to find the angle:

  ? = arctan(2/7) ≈ 16°

The value of "?" is about 16°.

Answer:

For example, a spacecraft leaving the surface of Earth needs to be going 7 miles per second, or nearly 25,000 miles per hour to leave without falling back to the surface or falling into orbit.