pleasee help mee ;-; i can't stand algebra, determine how many terms the geometric series has, and then find the sum of the series
-12 -4 - 4/3 - . . . - 4/243

Answer:

-2/5

Step-by-step explanation:

We can use the slope formula

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

    = ( 18-8)/( -15-10)

    = 10/-25

        -2/5

Answer:

p - 9

Step-by-step explanation:

A statement in the form p→q has three related implications that are called converse, inverse, and contrapositive.

A statement in the form p→q has three related implications.

Statement: If p then q (p→q)

Converse: If q then p (q→p)

Inverse: If not p then not q (-p → -q)

Contrapositive: If not q then not p (-q → -p)

For the given implications, its converse, inverse, and contrapositive can be written as.

Given statement:

(a)  If a quadrilateral is a parallelogram, then its opposite sides are congruent then its converse, inverse, and contrapositive are:

Converse: If a quadrilateral has opposite sides that are congruent then it's a parallelogram.

Inverse:  If a quadrilateral is not a parallelogram then its opposite sides are not congruent.

Contrapositive: If a quadrilateral has opposite sides that are not congruent then it's not a parallelogram.

(b) If two lines do not intersect, then they are parallel:

Converse: If the two lines do not intersect in the same plane, then they are parallel.

Contrapositive: If the two lines intersect in the same plane, then they are not parallel.

(c) If the sky does not look blue, then it is not nighttime:

Converse: If it is not nighttime, then the sky looks blue.

Inverse:  If the sky does not look blue then it is nighttime.

Contrapositive:  If it is nighttime then the sky does not look blue.

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Answer:

9/11

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Hello there! Let's work this through:

Firstly, we might want to simply 2 1/2 into 5/2, for simplification.

So, we now have 4 * 7 * 5/2

Simplifying we have \(\frac{4*7*5}{2}\)

We see that we can easily simplify 4/2 into 2 * 7 * 5

Further simplifying we get 10*7

Last bit and we get our answer of 70

From here we get 2

by using the condition for orthogonality between surfaces and applying it to the given equation  \(z^{2}\) = \(x^{2}\) + \(y^{2}\) and \(x^{2}\) + \(y^{2}\) + \(z^{2}\) = \(r^{2}\) are orthogonal at every point of intersection.

Let's consider the surfaces F(x, y, z) = 0 and G(x, y, z) = 0, where the gradients of F and G are non-zero at the point of intersection P. To prove that the surfaces are orthogonal at P, we need to show that their dot product, FxGx + FyGy + FzGz, is equal to zero at P.

The dot product of the gradients can be written as FxGx + FyGy + FzGz. If this expression evaluates to zero at P, it implies that the gradients are perpendicular, and therefore the surfaces are orthogonal at P.

Now, let's apply this result to the surfaces \(z^{2}\) = \(x^{2}\) + \(y^{2}\) and \(x^{2}\) + \(y^{2}\) + \(z^{2}\) = \(r^{2}\). Taking the gradients of these surfaces, we find that the dot product FxGx + FyGy + FzGz is equal to 2\(z^{2}\) + 2(\(x^{2}\) + \(y^{2}\) + \(z^{2}\)), which simplifies to 3\(z^{2}\) + 2(\(x^{2}\) + \(y^{2}\)).

Since this expression is equal to zero for all points (x, y, z) satisfying the equation of the second surface, \(x^{2}\) + \(y^{2}\) + \(z^{2}\) = \(r^{2}\), we can conclude that the surfaces \(z^{2}\) = \(x^{2}\) + \(y^{2}\) and \(x^{2}\) + \(y^{2}\)+ \(z^{2}\) = \(r^{2}\) are orthogonal at every point of intersection

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Answer:

The answer will be C.

Step-by-step explanation:

That is the answer because the corner on the right is (-2,-2) and that is the only answer that has two negative -2.

Hope that helps. If you somehow get that wrong, please message me and tell me. Thank :)!

What are the options un this

Answer:

C

Step-by-step explanation:

f is neither even nor odd

At least 28 attendants working at the same rate should be hired to ensure that the baseballs from 10 machines are all retrieved in less than 8 hours.

To determine the number of attendants needed to retrieve all the baseballs from 10 machines in less than 8 hours, we can calculate the rate at which one attendant retrieves the baseballs. Then, we can divide the total workload by the rate to find the number of attendants required.

Let's first calculate the rate at which one attendant retrieves the baseballs:

One attendant takes 3 1/2 hours to retrieve the baseballs from one machine.

So, the rate of one attendant is 1 machine / 3 1/2 hours.

Now, let's determine the total rate of retrieving baseballs from all the machines:

If there are 10 machines, and one attendant can retrieve the baseballs from one machine in 3 1/2 hours, then the rate of retrieving baseballs from 10 machines by one attendant would be:

1 machine / 3 1/2 hours * 10 machines = 10/ (7/2) hours = 20/7 hours per machine.

To find the number of attendants required to finish the task in less than 8 hours, we divide the total workload (10 machines) by the rate per machine:

Number of attendants = Total workload / Rate per machine

= 10 machines / (20/7 hours per machine)

= 10 * (7/20) machines per hour

= 7/2 machines per hour.

Since we want to complete the task in less than 8 hours, the number of attendants required should be greater than or equal to:

Number of attendants = (7/2 machines per hour) * 8 hours

= 28 machines

Therefore, at least 28 attendants working at the same rate should be hired to ensure that the baseballs from 10 machines are all retrieved in less than 8 hours.

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Answer:

Smaller than

Positive numbers

Step-by-step explanation:

The absolute value of a number is the distance from the zero. This can be positive or negative forming the absolute number. The distance is negative when the number is positive. The absolute numbers are used in the equations for the solutions. The numbers greater than zero are positive numbers.

Answer: 6 cm

Step-by-step explanation:

Given: The ratio of the areas of two similar  parallelograms is 4:9.

To find : The height of the  bigger one if the smaller is of height 4 cm.

Let h be the height of the  bigger one.

Since the areas of similar figures are proportional to the square of their corresponding sides.

Then, \(\dfrac{4^2}{h^2}=\dfrac{4}{9}\)

\(\dfrac{16}{h^2}=\dfrac{4}{9}\\\\\Rightarrow\ h^2=\dfrac{9}{4}\times16\\\\\Rightarrow\ h^2=36\\\\\Rightarow\ h= 6\ cm\ \ \ \ \text{[ height cannot be negative.]}\)

Hence, the height of bigger parallelogram = 6 cm

Answer:

4 , 1 and 6

Step-by-step explanation:

now ur not in trouble :)

The ratio of the side length of the square to the brush width is: 1/sqrt(2) : brush width.

The painted area consists of four congruent right triangles, each with legs equal to the side length of the square. Since half the area of the square is painted, the total area of the four triangles is equal to half the area of the square.

Thus, the area of one triangle is equal to one-eighth the area of the square.

The area of a right triangle is given by 1/2(base x height), where in this case, the base and height are both equal to the side length of the square. Therefore, we have:

1/2 x (side length)^2 / 2 = 1/8 x (side length)^2

Simplifying, we get:

(side length)^2 = 4 x (side length)^2 / 8

(side length)^2 = (side length)^2 / 2

Multiplying both sides by 2, we get:

2 x (side length)^2 = (side length)^2

2 = 1 / (side length)^2

Taking the reciprocal of both sides, we get:

(side length)^2 = 1/2

Taking the square root of both sides, we get:

side length = 1/sqrt(2)

The ratio of the side length of the square to the brush width is:

1/sqrt(2) : brush width.

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The amount as a percentage is 15% which represents the number 1 to 20 containing the digit 2.

The percentage is defined as a ratio expressed as a fraction of 100.

We know that the numbers 1 to 20 that contain the digit 2 are 2,12, and 20.

So, the quantity of the numbers is 3

It’s out of 20 numbers, this means 3/20

Calculating percentages indicated above can be readily computed using the formula below:

Percentage = (Value/Total Value) × 100

The amount as a percent = (Value/Total Value) × 100

The amount as a percent = (3/20) × 100

The amount as a percent = 15%

Thus, the amount as a percentage is 15% which represents the number 1 to 20 containing the digit 2.

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Answer:

Step-by-step explanation:

y = -3(x-3)^2 + 4

The result from part (b) is smaller than the result from part (a), indicating that having an estimate of the population proportion reduces the minimum sample size needed.

(a) To find the minimum sample size needed when no preliminary estimate is available, we can use the formula:

\(n = (z^2 * p * (1 - p)) / E^2\)

where:

z = the z-score corresponding to the confidence level (99% confidence level has a z-score of 2.576)

p = the estimated population proportion (we don't have an estimate, so we'll use 0.5 for maximum variability)

E = the maximum error of the estimate (4% = 0.04)

Plugging in the values, we get:

\(n = (2.576^2 * 0.5 * (1 - 0.5)) / 0.04^2\\n = 659.36\)

Round up to the nearest whole number, we get a minimum sample size of 660.

(b) Using previous research where 20% of the respondents claimed to eat fast food four to six times per week, we can apply the following calculation to get the minimal sample size required:

\(n = (z^2 * p * (1 - p)) / E^2\)

where:

z = the z-score corresponding to the confidence level (99% confidence level has a z-score of 2.576)

p = the estimated population proportion (we have an estimate of 0.2)

E = the maximum error of the estimate (4% = 0.04)

Plugging in the values, we get:

\(n = (2.576^2 * 0.2 * (1 - 0.2)) / 0.04^2\\n = 320.34\)

Round up to the nearest whole number, we get a minimum sample size of 32.

(c) The result from part (b) is smaller than the result from part (a), indicating that having an estimate of the population proportion reduces the minimum sample size needed.

Population proportion refers to the proportion of individuals in a given population who possess a particular characteristic of interest. It is a statistical concept used to estimate the frequency of a specific attribute or behavior in a larger population. For instance, if we want to know the proportion of people in a city who own a car, we can randomly select a sample of people from the city and determine the percentage of people in the sample who own a car. This percentage can then be used to estimate the population proportion.

Population proportion is an important concept in statistical inference, where researchers use a sample to make inferences about the entire population. To ensure accurate estimation, the sample must be representative of the population being studied. Moreover, statistical techniques such as confidence intervals and hypothesis testing can be used to determine the degree of confidence in the estimated population proportion.

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Complete Question:-

A researcher wishes to estimate, with 99% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 4% of the population proportion

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample size needed, using a prior study that found that 20% of the respondents said they eat fast food four to six times per week.

(c) Compare the results from parts (a) and (b)

3 cm 3 mm = 3.3 cm, 2 cm 5 mm = 2.5 cm, 4 cm 5mm = 4.5cm

The combined heights of the boxes are 3.3 + 2.5 + 4.5 = 10.3(cm)

-> There is 35 - 10.3 = 24.7(cm) above the boxes in the drawer left.

The probability that you draw a sphere given that it is blue is given as follows:

5/7.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The total outcomes in this problem are the blue shapes, hence the number is given as follows:

6 + 15 = 21 shapes.

The desired outcomes are the blue spheres, hence the number is given as follows:

15.

Hence the probability that you draw a sphere given that it is blue is given as follows:

p = 15/21

p = 5/7. (simplify numerator and denominator by 3).

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The range of the random variable is from 0 to 17,000.

The range of the random variable is the set of all possible values that the variable can take on. In this case, the variable is the number of people who carry the gene ifi202. Since 17,000 people are being tested, the range of the variable is from 0 to 17,000.

This is because it is possible that none of the people tested carry the gene, or that all 17,000 people tested carry the gene. Any number of people between 0 and 17,000 could also carry the gene, so the range of the variable is 0 to 17,000.

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Answer:

0

Step-by-step explanation:

8x + 4x = 0

12x = 0

x = 0/12

x = 0

Step-by-step explanation:

\(8x + 4x = 0\)

\(12x = 0\)

\( \frac{12x}{12} = \frac{0}{12} \)

\( \frac{12x}{12} = \frac{0}{12} \)

\(x = \frac{0}{12} \)

which is basically 0

Answer:

Step-by-step explanation:

Stop Cheating.

Answer:

t2=15

t3=28

t4=41

first term (a)=2

common difference (d)=13

General terms tn=a+(n-1)d

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

62

Step-by-step explanation:

divide lang yan.piste kasi bat kailangan 20 letters

Answer:

la respuesta es la D

Step-by-step explanation:

la velocidad es constante

i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).

j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).

i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).

j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).

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At least 75% of scores will be between 712 and 1504, 2.5% of scores will be above 1504, assuming a normal distribution and Jordan did better on the ACT exam.

(a) Using Chebyshev's theorem, we can say that at least 75% of the SAT scores will fall within two standard deviations of the mean. Therefore, at least 75% of scores will be between 1108 - 2(198) = 712 and 1108 + 2(198) = 1504.

(b) Using the empirical rule for a normal distribution, we can say that approximately 2.5% of scores will be above 1504, assuming a normal distribution.

This is because 1504 is two standard deviations above the mean of 1108, and the empirical rule states that about 2.5% of observations fall more than two standard deviations from the mean in a normal distribution.

(c) To determine which exam Jordan did better on, we can standardize the scores using z-scores. For the SAT score of 1200, the z-score is (1200 - 1108) / 198 = 0.46. For the ACT score of 30, the z-score is (30 - 22) / 6.2 = 1.29. Since a z-score of 1.29 is higher than a z-score of 0.46, we can say that Jordan did better on the ACT exam.

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Answer:

B

In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

Answer:

A data type is an attribute associated with a piece of data that tells a computer system how to interpret its value

Step-by-step explanation:

Data types categorize data and specify its nature, amount characteristics, and behavior. It decides how data is handled within a computer system in terms of storage and manipulation.

Data types categorize data and specify its nature, characteristics, and behavior. It is a crucial part of every data structure and computer language. Primitive data types and complex data types are the two basic divisions of data types. Basic types like numbers, characters, booleans, and strings are examples of primitive data types. Arrays, objects, and records are examples of sophisticated data types that are more complex. Data types specify how information is handled and stored by computer systems. Size, precision, and range are a few examples of the unique qualities that each data type possesses. The arithmetic, comparison, and logic operations that can be carried out on the data are also determined by the data types.

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