Which of these is a perfect cube?
2
4
7.5
8

The stem-and-leaf display of the data is

Stem | Leaves

1 | 2

2 | 2

3 | 3

4 | 5, 8

To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.

The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.

Now, let's organize the data values into their corresponding stems:

Stem 1: 12

Stem 2: 22

Stem 3: 33

Stem 4: 45, 48

Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:

Stem 1: 2

Stem 2: 2

Stem 3: 3

Stem 4: 5, 8

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Answer:

-6.05+(-3.611)=-9.661

Step-by-step explanation:

Answer:

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Q. What do you mean by circumference ?

Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.

Q. What do you mean by chord ?

Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.

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Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ

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Answer:

\(2x^{2}\)+5x+9

Step-by-step explanation:

The difference of the given expression is 8x²-5x-9.

The given expressions are -3x²+5x-9 and 2x²+3(x²-6).

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, subtract -3x²+5x-9 from 2x²+3(x²-6)

2x²+3(x²-6)-(-3x²+5x-9)

= 2x²+3x²-18+3x²-5x+9

= 8x²-5x-9

Hence, the difference of the given expression is 8x²-5x-9.

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(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105

Answer:

942

Step-by-step explanation:

lets say pi is 3.14

circle = A

A = pi x 5^2

A = 3.14 x 5^2

A = 3.14 x 25

A = 78.5

78.5 x 12

942

Answer:

Step-by-step explanation:

ΔABC ≅ ΔDEF

The length AB = 28 and the length of DE = 7. Since these are corresponding sides, we know that DEF= 1/4 (ΔABC)

So, since ΔABC = 160, we know that ΔDEF will be 1/4 of that, meaning that ΔDEF is 40.

ΔDEF = 40cm²

Answer:

10 cm2

Step-by-step explanation:

The ratio per side is 28/7 = 4

When two similar figures have a ratio of 4:1, the difference between their areas is:

\((4)^{2} :(1)^{2}\)

\(16:1\)

That is, the dimension of the area of the largest figure is 16 times larger than the smallest figure.

So for this case:

the area of the larger figure is

ΔABC = 160 sq.cm

Then the area of the minor figure is:

ΔDEF= 160/16 = 10 sq.cm

Hope this helps

The weight of an object with a mass of 2 kg would be 6 N on this planet, assuming the direct variation relationship holds.According to the given information, the weight of an object varies directly with its mass.

This implies that there is a constant of proportionality between weight and mass. Let's denote this constant as k.

From the given data, we have:

Mass = 5 kg

Weight = 15 N

Using the direct variation equation, we can write:

Weight = k * Mass

Substituting the given values, we have:

15 N = k * 5 kg

To find the value of k, we divide both sides of the equation by 5 kg:

k = 15 N / 5 kg = 3 N/kg

Now that we know the constant of proportionality, we can find the weight of an object with a mass of 2 kg:

Weight = k * Mass = 3 N/kg * 2 kg = 6 N.

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Answer:

112.34

Step-by-step explanation:

The 2nd digit after the decimal point is in the hundredths position.

• If the digit following is ≥ 5 then round up

• If the digit following is < 5 then leave digit as it is

here the digit following the 3 in the hundredths position is 9 so round up

112.3398 ≈ 112.34 ( to the nearest hundredth )

The probability that the sum of the two dice is 10 is 1/20 or 0.05.

The probability that the sum of the two dice is 10 is determined as follows:

Outcomes:

Ten-sided die outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Four-sided die outcomes: 1, 2, 3, 4

The possible sums of 10:

(1, 9)

(2, 8)

(3, 7)

(4, 6)

(5, 5)

For the ten-sided die, there are 10 possible outcomes, so the probability of each outcome is 1/10.

For the four-sided die, there are 4 possible outcomes, so the probability of each outcome is 1/4.

The probability of each pair

(1/10) * (1/10) = 1/100

(1/10) * (1/10) = 1/100

(1/10) * (1/10) = 1/100

(1/10) * (1/10) = 1/100

(1/10) * (1/10) = 1/100

The probability of the sum of 10 will be:

(1/100) + (1/100) + (1/100) + (1/100) + (1/100) = 5/100

The probability of the sum of 10 = 1/20

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Hopeful this is helpful!

Step-by-step explanation:

      a. p is 20% of 190. How many pennies do you have?

p=.20 x 190=p p= 38 pennies

      b. 190 is 200% of r. How many rare coins do you have?

190/2=r   r(rare coins) = 95 rare coins

     c. n is 60% of r. How many nickels do you have?

n=.60 x 95=n n= 57 nickels

:)

Answer:

Vertically opposite angles

Answer:

B) Vertical angles (congruent)

Step-by-step explanation:

Hope this helps!

The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.

Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.

Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.

Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.

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(A) The complex Fourier coefficients are calculated as follows: C-3 = -4, C-2 = -4i, C-1 = 1+3i, C0 = 4, C1 = 1-3i, C2 = -4-3i, C3 = 4i.

(B) The real Fourier coefficients are computed as: a0 = -8, a1 = 2, a2 = -8, a3 = 0, b1 = 6, b2 = 6, b3 = -8.

(C) The complex Fourier coefficients for the derivative, shifted function, and function multiplied by a constant are determined as follows:

(i) For f'(t), Co = 0, C1 = i+3, C2 = -8i+6, C3 = -12.

(ii) For the shifted function f(t+), Co = -4, C1 = (1-3i)(1/2+i√3/2), C2 = (-4-3i)(1/2+i√3/2), C3 = 3.

(iii) For f(3t), Co = 4, C1 = -4i, C2 = 0, C3 = 38.

(A) The complex Fourier coefficients are obtained by assigning the given values to the coefficients Cn for n = -3, -2, -1, 0, 1, 2, and 3.

(B) The real Fourier coefficients are determined by using the formulae: ao = Re(C0), an = Re(Cn) for n ≠ 0, and bn = -Im(Cn) for n ≠ 0.

(C) To compute the complex Fourier coefficients for the derivative, shifted function, and function multiplied by a constant, the corresponding transformations are applied to the original coefficients.

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Answer:

1.1 x 10^24

Step-by-step explanation:

Mass of earth: 5.97 x 10^24

Mass of venus: 4.87 x 10^24

There are 24 numbers in the mass of venus before the 4, in 4.87. So, that is why we use 10^24.

5.97-4.87=1.1

Answer:

hope it is helpful to you

One possible explanation for the difference in responses to the survey question could be the order in which the questions were presented. It is possible that the question that was answered yes by 75% of one group was presented earlier in the survey for that group, while it was presented later in the survey for the other group.

Research has shown that the order in which questions are presented can have an effect on how people respond to them. This effect is known as "question order bias" or "primacy and recency effects". The first few questions of a survey can set the tone for how participants answer subsequent questions, and the order of the questions can affect the responses.

Another possible explanation for the difference in responses could be sampling error or chance. Even if the two groups are similar, there can still be variability in the responses due to random chance. If the survey question was a sensitive topic or there was ambiguity in the wording of the question, this could also contribute to the difference in responses.

In summary, the difference in responses to the survey question between the two groups could be due to question order bias, sampling error, or other factors. It is difficult to determine the exact cause without more information about the survey and the specific question that was asked.

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Answer:

5.5

Step-by-step explanation:

13.75 divided by 2.5 = 5.5

Answer:

In 2012 , the population will be 15 million

Step-by-step explanation:

We start by setting up an exponential equation that defines the increase

P(t) = I(1 + r)^t

P(t) represents the present population = 15 million

I is the population in 2007 which is 13.8 million

r is 1.6% = 0.016

t is what we want to calculate

15 million = 13.8 million (1 + 0.016)^t

15/13.8 = (1.016)^t

1.09 = (1.016)^t

ln 1.09 = t ln 1.016

t = ln 1.09/ln 1.016

t = 5.429 which is approximately 5

So in 2007 + 5 = 2012, the population will be 15 million

Note that the light is about 9.17 x 10³ times faster than sound. See the explanation below.

To arrive a the above, we only need to simplify Jakes observation as follows

\(\frac{1.1 * 10^{9} km/h }{1.2 * 10^{3}km/h }\)

dividing the coefficients

1.1/1.2 = 0.91666666666

0.91666666666 x 10 ⁹⁻³

= 9.1666667 x 10 ⁵

further simplified, we have
9.17 x 10³

Thus, we can summarize that light is about 9.17 x 10³ faster than the speed of sound going by Jake observation.

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Full Question:

Jake noted that speed of light is approximately 1.1 × 10⁹ km/h;

the speed of sound is approximately 1.2 x 10³ km/h; and

11 + 12 = 0.916.

Using Jake's figures how many times faster is light than speed?

Write your answer in standard form.

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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Answer:

8^3 = 512

8^2 = 64

8^1 = 8

8^0 = 0

Step-by-step explanation:

Hey there!

An exponent (a^2) is usually a number that is raised by a certain number that is expressed in whichever number you have raised times

Cell A.
8^4

= 8 * 8 * 8 * 8

= 64 * 64

= 4,096

Cell B.

8^3

= 8 * 8 * 8

= 64 * 8

= 512

Cell C.
8^2

= 8 * 8

= 64

Cell D.
8^1

= 8

Cell E.
8^0

= 1

Thus, your answers should be:

• 512
• 64
• 8
• 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

I assume you're asking to solve for the n-th term in the sequence, \(a_n\).

From the given recursive rule,

\(a_n = a_{n-1} + 2 \implies a_{n-1} = a_{n-2} + 2\)

and by substitution,

\(\implies a_n = a_{n-2} + 2\times2\)

Similarly,

\(a_n = a_{n-1} + 2 \implies a_{n-2} = a_{n-3} + 2\)

\(\implies a_n = a_{n-3} + 3\times2\)

The pattern continues, so that we can write the n-th term in terms of the 1st one:

\(a_n = a_1 + (n-1)\times2 \implies a_n = 10 + 2(n-1) = \boxed{2n+8}\)

So the first few terms of the sequence are

{10, 12, 14, 16, 18, 20, …}

A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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Answer:

Step-by-step explanation:

I'm assuming you provided the equation: \(80^{\frac{1}{4}}x\)

In general any nth root can be rewritten as: \(\sqrt[n]{x} = x^{\frac{1}{n}}\)

We can refer to the law of exponents, to prove why this is the case.

You may recall from the law of exponents, the power of a power rule: \((x^a)^b=x^{ab}\)

So if we take the value: \(x^\frac{1}{n}\) and raise it to the nth power as such: \((x^\frac{1}{n})^n\), we can multiply the exponents to get: \(x^\frac{n}{n}=x^1=x\)

This is by definition the nth root, if we can raise this to the nth power to get the original value.

So we can rewrite raising x to the one-fourth, as the fourth root of 80.

From here we get: \(x\sqrt[4]{80}\)

Assuming your equation was actually: \(80^{\frac{1}{4}x}\)

We can actually use our power to a power rule, since it goes both ways.

We can rewrite: \(80^{\frac{1}{4}x}\implies (80^x)^\frac{1}{4}\)

From here we can use our nth root definition which we proved above to get the following: \(\sqrt[4]{80^x}\)

Note: We could've rewritten the expression as such \(80^{\frac{1}{4}x}\implies (80^\frac{1}{4})^x\), since multiply the exponents would give us our original expression, with further simplification giving us: \((\sqrt[4]{80})^x\), and this would give us the same expression, both are equally valid (except in certain cases where the domain may change as a result)

If money were valued in terms of how many minutes a person needs to work to buy a dollar, an increase in the number of minutes of work needed would be an increase in the price of money.

A person needs to work for 2 minutes to buy a dollar. If there is an increase in the number of minutes of work needed, say to 3 minutes to buy a dollar, then the price of money (dollar) has increased or it has appreciated.

The time value of money (TVM) is the idea that an amount of cash is worth more now than a similar aggregate and will be sometime not too far off because of its profit possible in the meantime. The time worth of cash is a central guideline of money. A sum of cash in the hand has more prominent worth than a similar aggregate to be paid from here on out. The time worth of cash is likewise alluded to as the present limited esteem.

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Answer:

QT = 6 (given)

QV = 18 (given)

TR=RS=SV (given)

Then TV = 18-6 = 12 and since TR=RS=SV , then each segment = 12/3 =4

RS = 4

QS = 14

TS = 8

and TV. = 12