00 (-1)n 2 Find the limit of the sequence n11+n10+68 Note: Write the exact answer not the decimal approximation (for example write n=1 not 0.8). Answer: The limit of the sequence is

So the right answer is √314 units.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

0.79 g/cm3

Step-by-step explanation:

Divide the mass by the volume

Answer:

0.79g/cm3

Step-by-step explanation:

density = mass

                volume

= 150g

  189cm3

= 0.793 g/cm3

round off- 2 decimal places

=0.79 g/cm3

Answer: y= x/2+9

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=6−2x.

The slope of the perpendicular line is negative inverse: m=1/2.

So, the equation of the perpendicular line is y=x/2+a.

To find a, we use the fact that the line should pass through the given point: 7=(1/2)⋅(−4)+a.

Thus, a=9.

Therefore, the equation of the line is y=x/2+9.

Answer: y=x/2+9.

x² = 9 + -2.25y² + 0.25z² provides a parametric representation of the upper half of the ellipsoid in spherical-like coordinates.

Given,

In response to our inquiry:

Add "-9y²" to each side of the equation.

4x² + 9y² + -9y² + -1z² = 36 + -9y²

9y² + -9y² = 0 when equivalent phrases are combined.

4x² + 0 + -1z² = 36 + -9y²

4x² + -1z² = 36 + -9y²

Add "z²" to both sides of the equation.

4x² + -1z² + z² = 36 + -9y² + z²

Therefore,

x² = 9 + -2.25y² + 0.25z² provides a parametric representation of the upper half of the ellipsoid in spherical-like dimensions.

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In math, protractors are essential tools for measuring and determining vertical and adjacent angles.

In the study of geometry, angles play a fundamental role, and accurately measuring them is crucial for solving various mathematical problems. When it comes to vertical and adjacent angles, a key tool used by both students and professionals is the protractor. A protractor is a DIY (do-it-yourself) tool that allows for precise angle measurement and identification.

With a protractor, one can easily determine the size of vertical angles, which are formed by intersecting lines or rays that share the same vertex but point in opposite directions. These angles have equal measures. Similarly, adjacent angles are formed when two angles share a common side and a common vertex but do not overlap. By using a protractor, one can measure the individual angles and determine their relationship to each other.

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To test the difference between two independent population means with two samples, you need to calculate the degrees of freedom (df). Here's a step-by-step explanation:

1. Identify the sample sizes: The first sample has a size of 28 (n1 = 28), and the second sample has a size of 27 (n2 = 27).

2. Calculate the degrees of freedom for each sample: For each sample, subtract 1 from the sample size. For sample 1, df1 = n1 - 1 = 28 - 1 = 27. For sample 2, df2 = n2 - 1 = 27 - 1 = 26.

3. Combine the degrees of freedom: Add the degrees of freedom from each sample together to get the total degrees of freedom: df = df1 + df2 = 27 + 26 = 53.

In this case, you will use 53 degrees of freedom to find the critical value for testing the difference between the two independent population means.

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Answer:

m (Slope) = 3

Step-by-step explanation:

Slope formula:

m = (y2 - y1) / (x2 - x1)

= (24 - 3) / (9 -2)

= 21 / 7

=3

The probability of the disease is very low nationwide. We need to estimate the disease probability in one city. The probability of disease in this city is 0.0976% (0.000976 or 0.00001) or 99.9024%.

Solution:Let's assume that the probability of the disease in the city is p.

We know that the probability of having no disease is (1-p).

Out of the 1000 people randomly asked, all of them have no disease which means they all responded negatively.

The probability of one person not having a disease = 1-p

Probability of 1000 people not having a disease =

(1-p) × (1-p) × (1-p) × ... (1000 times)

= (1-p)^1000

Given that the probability of disease is very low nationwide.

The probability of having no disease is high (say 0.9).

So the probability of a disease in the city = 1 - probability of no disease in the city

= 1 - (1-p)^1000= 1 - (1-0.9)^1000

= 1 - 0.000976

= 0.999024

= 99.9024%

Therefore, the probability of disease in this city is 0.0976% (0.000976 or 0.00001) or 99.9024%.

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Answer:

72 children

Step-by-step explanation:

the ratio is 5:4, and we can convert this into the fraction of 5/4. we can find an equivalent fraction where the numerator (the number of boys) is equal to 40. 8*5 is 40, so we can also multiply the denominator by 8. this new fraction is 40/32, which becomes the ratio of 40:32. If we add up the two parts of the ratio (40 and 32), we will get the total amount of children at the party. 40+32=72.

Answer:

72 kids

Step-by-step explanation: Trust me

The present value with interest rate is 14% is $1810.92.

The future value is $4892.

The interest rate is 14% per year.

The time period is 16 years.

To calculate the present value, we can use the following formula:

present value = future value / (1 + interest rate)**number of years

Plugging in the values for the future value, interest rate, and time period, we get:

present value = 4892 / (1 + 0.14)**16 = 1810.92

Therefore, the present value of $4892 if the interest rate is 14% and the number of years is 16 is $1810.92.

In words, the present value is calculated by dividing the future value by the factor that is 1 plus the interest rate raised to the power of the number of years. In this case, the future value is $4892, the interest rate is 14%, and the time period is 16 years. Therefore, the present value is $1810.92.

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On the arranged survey, the statistical margin of error is supposed to be 14.73 SEK.

In a large consumer survey, 610 randomly selected customers are interviewed in a large grocery store. They are asked, among other things, how much they have shopped for. On average, they have shopped for 412 SEK with a standard deviation of 181 SEK .

Estimate with a 95% confidence interval the average purchase amount in the entire population. The formula for finding the margin of error is given as;

Margin of Error = z * (σ/√n)

Where:

σ is the standard deviation

n is the sample size

z is the Z-score for the desired confidence level, which is 95%.

Z-score corresponding to 95% confidence level is 1.96

Margin of Error = 1.96 * (181/√610) = 14.73

The statistical margin of error is 14.73 SEK.

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Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

Step-by-step explanation:

Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.

The probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches.

z score is given by,

z = (x - μ)/(σ/√n) = (92.8 - 90)/(14/√49) = 2.8/2 = 1.4

The  required probability is,

p(z < 1.4) = 0.9192, by standard normal table.

Hence, the  probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is,  0.9192.

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Answer:

64 = 4x4x4 = 4^3

Exponential form is 4^3

Step-by-step explanation: exponential form is just a shortcut way of writing repeated multiplication involving base and exponents so in this case we just multiply the base number which is 4 by itself and multiply 4 times since the number is 4. Hope this helps!! [:

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

A. 0

Step-by-step explanation:

Slope tells you steepness or flatness of your line.

If you know two points on a line find slope by subtracting the y's and put that on top of a fraction. And subtract the x's and put that on the bottom of the fraction.

Subtract y's: 3 - 3

Put it on top: 0/...

Subtract x's: 5 - -4

same as 5+4

Put that on the bottom: 0/9

slope, usually called m, is 0/9, which is 0.

Notice if you graph these two points its a hOrizOntal line. HOrizOntal lines have zerO slope.

Answer:

9.85

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(6 - 2)² + (-2 - 7)²

√(4)² + (-9)²

√(16) + (81)

√97

= 9.85

Answer:

area of real bedroom = 32 cm²

hope it helps..

Answer:

Bedroom: 32 cm living room: 81 cm

Step-by-step explanation:

Bedroom: 4 x 8 = 32

Living room : 9 x 9 = 81

( if combining bedroom and living room, it’s 113 cm)(81 + 32 = 113)

Hope this helps

Answer:

y = 25 degrees

Step-by-step explanation:

straight line has 180 degrees

so 180 - 115 = x which is 65 degrees

traingle has 180 also

65 + 90 = 155          180 - 155 = y which is 25 degrees

The triangle on the other side is the equivalent.

Answer:

y = 25°

Step-by-step explanation:

x = 180° - 115° (115° and x are supplementary angles)

x = 65°

In the triangle,

x + y + 90° = 180°

65° + 90° + y = 180°

155° + y = 180°

Subtract 155 from both sides,

y = 180° - 155° = 25°

The number will be 6,125.Given, we need to form a four-digit number using the digits 1, 2, 3, and 4. The number should satisfy the following conditions:The thousands digit is three times the tens digit.The hundreds digit is one more than the units digit.The sum of all four digits is 10.

To find: The four-digit number

Solution:Let us assume the digit in the unit place to be x.∴ The digit in the hundredth place will be x + 1∴ The digit in the tenth place will be a.

Let the digit in the thousandth place be 3a∴ According to the given conditions a + 3a + (x + 1) + x = 10⇒ 4a + 2x + 1 = 10⇒ 4a + 2x = 9……(1)

Now, the value of a can be 1, 2, or 3 because 4 can’t be the thousandth place digit as it will make the number more than 4000.Using equation (1),Let a = 1⇒ 4 × 1 + 2x = 9⇒ 2x = 5, which is not possible∴ a ≠ 1

Similarly,Let a = 3⇒ 4 × 3 + 2x = 9⇒ 2x = −3, which is not possible∴ a ≠ 3

Let a = 2⇒ 4 × 2 + 2x = 9⇒ 2x = 1⇒ x = 1/2Hence, the number will be 6,125. Answer: The four-digit number will be 6,125.

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Answer:

D

Step-by-step explanation:

D

Answer:

D i think

Step-by-step explanation:

When comparing the given numbers 7.17 x 10^4 and 8.17 x 10^5, we find that 7.57 x 10^4 is the number that lies between them.

To determine this, we compare the given numbers and look for the smallest number that is greater than 7.17 x 10^4 and the largest number that is smaller than 8.17 x 10^5.

Let's break down the given numbers:
7.17 x 10^4 is equivalent to 71700 (since 10^4 = 10,000).
8.17 x 10^5 is equivalent to 817,000 (since 10^5 = 100,000).

We can see that 7.57 x 10^4 is greater than 71700 but smaller than 817000, making it the number that falls between the two given values.

Therefore, the correct answer is C. 7.57 x 10^4.
To summarize, when comparing the given numbers 7.17 x 10^4 and 8.17 x 10^5, we find that 7.57 x 10^4 is the number that lies between them.

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The function is increasing is f(x) = \(5^x\)

For exponential functions: f(x) = \(a^{x}\) (a>0 and a\(\neq 0\) ), when A is greater than the function is increased.

0.5 <1, \(\frac{1}{15}\)<1 , \(\frac{1}{5}\)<1 , 5>1

so C is correct.

The exponential  is a mathematical function denoted by the argument x is written as an exponent. Unless otherwise specified, the term generally refers to the positive-valued function of  a true  variable, although it  are often  extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. The  exponential  originated from the notion of exponentiation (repeated multiplication), but modern definitions (there are several equivalent characterizations) allow it to be rigorously extended  to all or any  real arguments, including irrational numbers. Its ubiquitous occurrence in pure and  applied math  led mathematician Walter  to opine that the exponential function is "the most important function in mathematics".

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The area οf the larger hexagοn is 36 sq. m.

The clοsed pοlygοnal fοrm οf a regular hexagοn has six equal sides and six equal angles. Any regular pοlygοn has equal sides and angles οn all sides. Regular pentagοns, fοr instance, have 5 equal sides, while regular οctagοns have 8 equal sides. When these requirements are nοt satisfied, pοlygοns might resemble many οther asymmetrical fοrms. A regular hexagοn is fοrmed when six equilateral triangles are placed side by side. The regular hexagοn's area then increases tο six times that οf the identical triangle.

The area οf the smaller hexagοn is given as 18 sq. m.

Nοw, the scale factοr is 1:2.

Thus, the area οf the large hexagοn is:

A = 18(2) = 36

Hence, the area οf the larger hexagοn is 36 sq. m.

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The graph will consist of two diagonal lines: one representing Mary's initial walk, turnaround, and return to the classroom, and the other representing her run to lunch with a gradual decrease in speed as she approaches the cafeteria.

To sketch a distance vs. time graph based on the given description, we'll represent the time on the x-axis and the distance on the y-axis.

A. Mary left her classroom and walked at a steady pace to head to lunch:

In this portion, Mary is walking at a steady pace, indicating a constant speed. We can represent this as a straight, diagonal line on the graph, starting from the initial distance (0) and increasing gradually over time until she reaches halfway to the lunch area.

B. Halfway there, Mary stopped to look through her bag for her phone but couldn't find it:

At the halfway point, Mary stops to search her bag. Since she is stationary during this time, the graph will show a horizontal line at the same distance she reached before stopping. This horizontal line represents the time Mary spends searching her bag.

C. Mary turned around to quickly return to her classroom to get her phone that she left at her desk:

After realizing her phone is in the classroom, Mary turns around to go back. This is represented by a straight, diagonal line on the graph, but in the opposite direction. The distance decreases as she retraces her steps until she reaches the classroom.

D. Mary then ran all the way to lunch, gradually decreasing her speed as she neared the cafeteria:

Once Mary retrieves her phone, she runs all the way to lunch. Initially, the graph will show a steeper diagonal line, indicating an increase in distance covered over time. However, as she approaches the cafeteria, her speed gradually decreases. This is represented by a shallower diagonal line on the graph, showing a slower increase in distance over time.

Overall, the graph will consist of two diagonal lines: one representing Mary's initial walk, turnaround, and return to the classroom, and the other representing her run to lunch with a gradual decrease in speed as she approaches the cafeteria. The horizontal line in the middle represents the time Mary spends searching her bag.

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Answer:

i would say three

Step-by-step explanation:

Answer:

3

Step-by-step explanation: