-
The first three terms of a geometric sequence are as follows.
2, 10, 50
Find the next two terms of this sequence.

As per the exchange rate, the cost of the trainers in Euros would be approximately €91.20 in Madrid.

An exchange rate is the value of one currency in terms of another. For example, the exchange rate for Pounds to Euros is currently around £1 = €1.14. This means that if you were to exchange £1 for Euros, you would receive approximately €1.14.

Since the exchange rate is currently £1 = €1.14, we can multiply the cost of the trainers in pounds (£80) by the exchange rate (1.14) to get the cost in Euros.

=> £80 x 1.14 = €91.20

So, the resulting value is €91.20.

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Answer:

400

Step-by-step explanation:

718-331

= 387

Rounding off to the nearest hundredth the answer is 400

Step-by-step explanation:

When y = 3x then 2(3x) + x =14

6x + x = 14

7x=14

x=2 in sub eq 1

y=3(2)=6

Answer:

Answer:

Step-by-step explanation:

Change in height:

Percent of change:

Correct choice is B

The particle has a frequency of 0.032 hertz.

The particle experiments a sinusoidal motion, whose mathematical model is described below:

\(x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)\) (1)

Where:

The frequency (\(f\)), in hertz is defined by this formula:

\(f = \frac{\omega}{2\pi}\) (2)

By direct observation on the formula described in statement we find that \(\omega = 0.2\,\frac{rad}{s}\), then we find the frequency of the particle by (2):

\(f \approx 0.032\,hz\)

The particle has a frequency of 0.032 hertz.

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The population at the end of the 5th year with a decline of 3% each year will be 2147.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given,

The bird population is declining at a rate of 3% a year.

Suppose the initial population = P

After the end of 1st year = 3% less than P = P - 0.03P = 0.97P

After the end of 2nd year = 3% less than after the end of 1st year

⇒  0.97P - 0.03 x 0.97P = 0.9409P

After the end of 3rd year = 3% less than after the end of 2nd year

⇒  0.9409P - 0.03 x 0.9409P = 0.912673P

After the end of 4th year = 3% less than after the end of 3rd year

⇒  0.912673P - 0.03 x 0.912673P = 0.88529281P

After the end of the 5th year = 3% less than after the end of 4th year

⇒  0.88529281P - 0.03 x 0.88529281P = 0.858734025P

Since, P = 2500

⇒ 0.858734025 x 2500 = 2146.83 = 2147

Hence "With a 3% annual population reduction, there will be 2147 people in the world at the end of the fifth year.".

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Answer: personaly i would choose C

Step-by-step explanation:

the -25 is bigger than the 2 so it will be a negative answer

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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A graphical portrayal of a quantitative data set that divides the data into classes and gives the frequency of each class is a(n) histogram.

For qualitative data, Pareto and bar charts are utilized, while dot plots and ogive plots show the distribution of the data cumulatively and each individual data point, respectively. In a histogram, the class intervals are all the same size and there is no space between the bars.

Bars are used in a graphic depiction called a "histogram" to display data and the frequency of numerical data. A bar graph is a style of data visualization that employs bars to contrast different data types.

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Based on the given information, we know that one bicycle trail in a new housing development is 3 miles long and the other trail is the same length as the first trail.

Therefore, the length of the second trail is also 3 miles.

Hence, the answer is: 3 miles

It seems like there's a missing piece of information in your question about the length of the second trail.

However, I will try my best to help you with the given information.
Two bicycle trails are developed in the housing development.

The first trail is 3 miles long, and we need to find the length of the second trail.

Unfortunately, there is no information provided about the second trail's length.

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Answer:

Step-by-step explanation:

Yes, he is correct because writing a negative symbol with a denominator and numerator makes the sense same. Because the negative is as a whole not only the numerator and not only the denominator. As it is a fraction which is a whole single identity.

3/4= 0.75, Therefore in each above three always the

-0.75= -0.75= -0.75 will give same value in each.

Answer:

Step-by-step explanation:

1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.

2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.

So 5/4 x 1/2 is 5/8.

3. Lila will need 5/8 cups of raisins.

No, the probability that a continuous random variable equals a certain value is zero does not imply that the probability of finding even or odd values is also zero.

The reason for this is that even and odd values are not specific points in the continuous probability distribution, but rather sets of points. For example, if we consider a uniform distribution over the interval [0, 1], the probability of any particular point in the interval is zero, including both even and odd values. However, the probability of finding an even value in the interval is 1/2, since half of the values in the interval are even. Similarly, the probability of finding an odd value is also 1/2. Therefore, the fact that the probability of a continuous random variable taking a certain value is zero does not imply anything about the probability of finding even or odd values.

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A road rises uniformly 30.6 m for every 600 m along the road so the angle of elevation of this road is correct to the nearest degree is 3°. Option C is correct

By using the relationship between the vertical increase, horizontal distance, and the angle of elevation. This vertical increase is given as 30.6m and the horizontal distance as 600m. Here, the angle of elevation is tangent.

Now, by further calculation, we get,

The angle of elevation= vertical increase/ horizontal distance

angle of elevation=\(\frac{30.6}{600}\)

By using inverse tangent(arctan) on both sides we get,

angle of elevation=(arctan)\(\frac{30.6}{600}\)=2.96°

By computing the approximate value is 2.96°. Rounding to the nearest degree, we get 3°.

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Answer:

personal values

Step-by-step explanation:

values = principals. that being said, you won't live your life following your friends or spouses principles, instead you'd live your life by your own principles.

Answer:

10 walnuts..

Step-by-step explanation:

12 - 2 = 10

Answer:

10?

Step-by-step explanation:

12-2=10

The value are x=1,y=3 and z=-1 when the equation are x+5y-3z=19, 2x-3y+4z=-11 and 4x+y-2z=9.

Given that,

The equation x+5y-3z=19

2x-3y+4z=-11

4x+y-2z=9

We have to find the x,y ad z values. Its is nothing but the zeros of the polynomial.

Take the equations as,

x+5y-3z=19----->equation(1)

2x-3y+4z=-11----->equation(2)

4x+y-2z=9----->equation(3)

Subtracting equation (2) with 2×equation(1)

(x+5y-3z=19)×2⇒ 2x+10y-6z=38

                            2x-3y+4z=-11

                        ----------------------------

                            13y-10z=49----->equation(4)

Now,

Subtracting equation (3) with 2×equation(2)

(2x-3y+4z=-11)×2⇒ 4x-6y+8z=-22

                               4x+y-2z=9

                          ---------------------------
                                 -7y+10z=-31-------->equation(5)

Now,

Adding equation (4) and equation(5)

13y-10z=49

-7y+10z=-31

-----------------

6y=18

y=18/6

y=3

Now,

Substitute y=3 in equation(5)

-7(3)+10z=-31

-21+10z=-31

10z=-31+21

10z=-10

z=-10/10

z=-1

Now,

Substitute y=3 and z=-1 in equation(1)

x+5y-3z=19

x+5(3)-3(-1)=19

x+15+3=19

x+18=19

x=19-18

x=1

Therefore, The value are x=1,y=3 and z=-1 when the equation are x+5y-3z=19, 2x-3y+4z=-11 and 4x+y-2z=9.

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Answer:

Here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

x = \(\frac{2}{5}\)

Step-by-step explanation:

Given

- 3 - 39x = 11x - 23 ( subtract 11x from both sides )

- 3 - 50x = - 23 ( add 3 to both sides )

- 50x = - 20 ( divide both sides by - 50 )

x = \(\frac{-20}{-50}\) = \(\frac{2}{5}\)

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer:

I have no clue but option 2 seems right to me but I really don't know sorry

Step-by-step explanation:

sorry I it's wrong

Answer:

P=368(0.07)^x

Step-by-step explanation:

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Speed = 9.6km/s

Distance Traveled in 5 seconds= 48km

Step-by-step explanation:

(6 )(1.6)= 9.6km/s

(9.6)(5)=48km

The length of something like the curve is 8.083, going per the supplied statement.

Curve, An abstract phrase used to characterize the trajectory of a continually moving point in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a solid line or a collection of connected line segments. The IS curve displays permutations of borrowing costs and production levels where anticipated expenditure and income are equal. The many interest and income configurations along which the commodity is in homeostasis are represented by the IS Curve.

\(\begin{aligned}& r(t)=\left\langle 8 t, t^2, \frac{1}{12} t^3\right\rangle \\& r^{\prime}(t)=\left\langle 8,2 t, \frac{t^2}{4}\right\rangle\end{aligned}\)

\(\begin{aligned}& \left|\lambda^{\prime}(t)\right|=\sqrt{64+4 t^2+\frac{t^4}{16}}=\sqrt{1 / 16\left(t^2+32\right)^2} \\& \left|r^{\prime}(t)\right|=\frac{1}{4}\left(t^2+32\right)\end{aligned}\)

Length of arc = \(\int_a^b\left|r^{\prime}(t)\right| d t\)

\(\begin{aligned}& L=\frac{1}{4} \int_0^1\left(t^2+32\right) d t \\& L=\frac{1}{4}\left[\frac{t^3}{3}+32 t\right]_0^1=\frac{1}{4}\left[\frac{1}{3}+32\right]\end{aligned}\)

L = 8.083

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The area of the sector is approximately 13.02 square cm. The area of a sector with a central angle of 30° and a radius of 12.5 cm can be found using the formula:

\(A = (\pi /360) xpi\)

where:

A is the area of the sector

θ is the central angle in degrees

r is the radius of the sector

π is a mathematical constant (approximately equal to 3.14)

Substituting the given values, we get:

\(A = (30/360) x pi (12.5)^2\)

A = (1/12) x π(156.25)

A = (13.02) square cm (rounded to two decimal places)

Therefore, the area of the sector is approximately 13.02 square cm.

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What is the area of a sector with a central angle of 30° and a radius of 12. 5 cm?

Answer:

line graph

Step-by-step explanation:

line graph

Answer:

bar graph

Step-by-step explanation:

thats what i'm guessing because a bar graphs compares categories

It doesn't have any direct relationship with the slope of the line. The correct answer is (c) increase of $1 in advertising is expected to result in an increase of $5 in sales.

This can be determined by looking at the coefficient of the advertising variable in the regression equation, which is 5. This means that for every one-unit increase in advertising (in thousands of dollars), we can expect a five-unit increase in sales (in thousands of dollars).

It's important to note that the intercept term in the regression equation, which is $80,000, represents the estimated sales when advertising is zero. However, it doesn't have any direct relationship with the slope of the line. The slope tells us the rate of change in sales for a given change in advertising, whereas the intercept tells us the baseline level of sales when there is no advertising. So, we cannot use the intercept to answer this question. Instead, we need to focus on the coefficient of the advertising variable.

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The original series Σ(-1)^(2n)*2/(m^(2)) is also absolutely convergent.

(1) To determine whether the series Σ(−1)^{n}*(m^{2}+n+1)/(n^{3}+1+n^2+2) is absolutely convergent, conditionally convergent, or divergent, we can use the Comparison Test.

We note that for n >= 1, (m^2 + n + 1)/(n^3 + 1 + n^2 + 2) <= (m^2 + n + 1)/(n^3) = (m^2/n^3) + (1/n^2) + (1/n^3).

The series Σ(m^2/n^3) converges by the p-test since p=3>1, and the series Σ(1/n^2) and Σ(1/n^3) are p-series with p > 1, so they converge as well.

Thus, by the Comparison Test, the given series Σ(−1)^{n}*(m^{2}+n+1)/(n^{3}+1+n^2+2) is absolutely convergent.

(2) To determine whether the series Σ(2^(n)+5)/(−1)^{n}*4^(n+2) is absolutely convergent, conditionally convergent, or divergent, we can use the Ratio Test.

We have:

|(2^(n+1)+5)/(−1)^{n+1}*4^(n+3)| / |(2^(n)+5)/(−1)^{n}*4^(n+2)|

= |(2^(n+1)+5)/(2^(n)+5)| * |−1/4|

= (1 + 5/2^(n)) / (1 + 5/2^(n))

= 1

Since the limit of this expression as n approaches infinity is 1, the Ratio Test is inconclusive. We need to check for absolute convergence and conditional convergence separately.

To check for absolute convergence, we consider the series obtained by taking the absolute values of the terms:

Σ|(2^(n)+5)/(−1)^{n}*4^(n+2)| = Σ(2^(n)+5)/(4^(n+2))

This series can be simplified as follows:

Σ(2^(n)+5)/(4^(n+2)) = Σ2^(-n-2) + Σ5/4^(n+2)

The first series on the right converges by the p-test since p = 2 > 1, and the second series converges by the Geometric Series Test with r = 1/4, so it is absolutely convergent.

Thus, the original series Σ(2^(n)+5)/(−1)^{n}*4^(n+2) is also absolutely convergent.

(3) To determine whether the series Σ(-1)^(2n)*2/(m^(2)) is absolutely convergent, conditionally convergent, or divergent, we can simplify the series as follows:

Σ(-1)^(2n)*2/(m^(2)) = Σ2/(m^(2)) = 2 * Σ1/(m^(2))

This series is a p-series with p=2>1, so it is absolutely convergent.

Thus, the original series Σ(-1)^(2n)*2/(m^(2)) is also absolutely convergent.

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