How do you write 7 1 \12 as a whole number

The common ratio of a geometric sequence is the ratio of any term to the previous term. The general nth term is given by an = n1 * r^(n-1), and the 10th term is a10 = n1 * r^9. The sum of the first 16 terms is S = (n1 * (1 - r^16)) / (1 - r).

Without the first term n1, we cannot find the common ratio r. However, we can still find the general nth term and the sum of the first 16 terms of the sequence.

(a) The common ratio r of a geometric sequence is the ratio of any term to the previous term. Let's assume that the first term of the sequence is n1. Then, the second term is n1r, the third term is n1r^2, and so on. Therefore, the common ratio is r = (n2 / n1) = (n3 / n2) = (n4 / n3) = ...

(b) The general nth term of a geometric sequence is given by an = n1 * r^(n-1).

(c) To find the 10th term of the sequence, we use the formula above with n = 10. Therefore, a10 = n1 * r^(10-1) = n1 * r^9.

(d) To find the sum of the first 16 terms of the sequence, we use the formula for the sum of a geometric series: S = (n1 * (1 - r^n)) / (1 - r), where n is the number of terms. In this case, n = 16. Thus, the sum of the first 16 terms is S = (n1 * (1 - r^16)) / (1 - r).

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Answer:

g(x)=2x^2

Step-by-step explanation:

Multiplying by a constant will stretch the graph as shown. The graph of g(x) appears to pass through (1,2), so g(x)=2x^2 is a reasonable guess (I can't see the answer choices).

The relation R is not reflexive, but it is symmetric and transitive.

A homogeneous relation R over the set A, which comprises the elements x, y, and z, is known as a transitive relation. If R relates x to y and y to z, then R likewise relates x to z.

For x, y ∈ Z, xRy if and only if (x+y)² ≡ ±1.

(a) Reflexivity: For x ∈ Z, we have (x + x)² = 4x² ≡ 0 (mod 1), which is not equal to ±1. Therefore, xRx does not hold for any x ∈ Z, and R is not reflexive.

(b) Symmetry: For x, y ∈ Z, if xRy, then (x + y)² ≡ ±1. This implies that (y + x)^2 ≡ (x + y)² ≡ ±1. Therefore, yRx also holds, and R is symmetric.

(c) Transitivity: For x, y, z ∈ Z, if xRy and yRz, then (x + y)² ≡ ±1 and (y + z)² ≡ ±1. Expanding these expressions, we get:

(x + y)² ≡ ±1  =>  x² + 2xy + y² ≡ ±1

(y + z)² ≡ ±1  =>  y² + 2yz + z² ≡ ±1

Adding these two equations, we get:

x² + 2xy + y² + y² + 2yz + z² ≡ ±2

Simplifying, we get:

x² + 2xy + 2yz + z² ≡ ±2 - 2y²

Now, we need to show that (x + z)² ≡ ±1. Expanding (x + z)², we get:

(x + z)² = x² + 2xz + z²

Substituting x² + 2xy + 2yz + z² ≡ ±2 - 2y², we get:

(x + z)² ≡ 2 - 2y² + 2xz

To complete the proof, we need to show that there exists some integer k such that 2 - 2y² + 2xz - k² ≡ ±1. We can rewrite this expression as:

2xz - k² ≡ 2y² - 3 (mod 4)

Since the left-hand side is even, the right-hand side must also be even. Therefore, y² ≡ 1 (mod 4), which implies that y is odd.

Now, we can substitute y = 2m + 1 for some integer m, and simplify:

2xz - k² ≡ 8m² + 8m - 1 (mod 4)

We can rewrite the right-hand side as 4(2m² + 2m) - 1, which is congruent to -1 (mod 4). Therefore, there exists some integer k such that 2xz - k² ≡ ±1, which implies that (x + z)² ≡ ±1. Hence, xRz holds, and R is transitive.

In summary, the relation R is not reflexive, but it is symmetric and transitive.

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 The correct formula for  You would need to deposit approximately $360.78 at the end of each month in the investment plan to accumulate $334,000.00 in 27 years

monthly payment calculater is Monthly Payment = P (r(1+r)^n)/((1+r)^n-1), Where P is the final Amt, r is the rate of interest and n is the number of terms.

To calculate the amount you should deposit at the end of each month to accumulate $334,000.00 in 27 years with a monthly compounding interest rate of 6.7%, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r,

where FV is the future value, P is the monthly deposit, r is the monthly interest rate (6.7% or 0.067), and n is the number of compounding periods (27 years * 12 months = 324 months).

Plugging in the given values, the equation becomes:

334,000 = P * [(1 + 0.067)^324 - 1] / 0.067.

Simplifying the equation, we find:

P = 334,000 * 0.067 / [(1 + 0.067)^324 - 1].

Evaluating this expression yields:

P ≈ $360.78.

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Answer:

8.11

Step-by-step explanation:

4+4+7+13+12+9 = 49

divide that by 6

========================================================

Explanation:

Sort the data set to go from {4,4,7,13,12,9} to {4,4,7,9,12,13}

Next, cross off the first and last items to get this smaller set: {4,7,9,12}

Repeat the last step to get this even smaller set: {7,9}

We can see that 7 & 9 are tied for the middle most positions. Add them up and divide by 2 to find the midpoint

(7+9)/2 = 16/2 = 8

The median is 8

Answer:

never crosses the x-axis.

Step-by-step explanation:

     A quadratic equation with a negative discriminant has a graph that - never crosses the x-axis.

Answer:

The graph of a quadratic equation that has a negative discriminant is the one that never intersect x-axis. The graph of a quadratic equation that has a zero discriminant is the one that intersect x-axis at only one point. To be clearer, it can be seen in the attached image.

Step-by-step explanation:

Answer D

Answer:

- 22.76

Step-by-step explanation:

if b = - 0.16 the you subtract that with - 22.6

- 0.16 - 22.6 = - 22.76

The different programs (in terms of order) that can be arranged is 120 different ways

Since we are dealing with arrangements, this is a permutation problem.

If there are three bands and two comics performing at a show, the total band will be 5 bands

The number of different programs that can be arranged will be 5!

5! = 5 * 4 * 3 * 2

5! = 60 * 2

5! = 120 ways

Hence the different programs (in terms of order) that can be arranged is 120 different ways

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Answer:

Toyota like my mom hajaha

Either a Ford like my dad or a Audi like my aunt lol

Answer:  C

Step-by-step explanation:

An atom with mass number 16 and nine neutrons corresponds to nitrogen (N). The compound with 10.0 g carbon and 13.32 g oxygen has 57.1% oxygen, while the compound with 10.0 g carbon and 26.64 g oxygen has 72.8% oxygen. The atomic symbol for an atom with 16 neutrons and atomic number 15 is \(^{31}P\) (phosphorus isotope). Elements Li, Na, K, Rb are Alkali Metals; Be, Mg, Ca, Sr, Ba are Alkaline Earth Metals; F, Cl, Br, I are Halogens; He, Ne, Ar, Kr, Xe, Rn are Noble Gases.

Part a) An atom with a mass number of 16 and nine neutrons would have an atomic number of 7. The atomic number represents the number of protons in an atom, which uniquely identifies an element.

Therefore, the element with an atomic number of 7 is nitrogen (N). Nitrogen has a mass number of 14, but the given atom has an additional two neutrons.

Part b) To calculate the percentage of oxygen in a compound, we need to determine the mass of oxygen relative to the total mass of the compound and multiply by 100.

Compound 1: 10.0 g carbon + 13.32 g oxygen

The total mass of the compound is 10.0 g + 13.32 g = 23.32 g.

The mass percentage of oxygen is (13.32 g / 23.32 g) × 100% = 57.1%.

Compound 2: 10.0 g carbon + 26.64 g oxygen

The total mass of the compound is 10.0 g + 26.64 g = 36.64 g.

The mass percentage of oxygen is (26.64 g / 36.64 g) × 100% = 72.8%.

Part c) An atomic symbol represents an element and includes its atomic number as a subscript and the mass number as a superscript. Given 16 neutrons and an atomic number of 15, the element is phosphorus (P).

The atomic symbol for this isotope of phosphorus is ^31P (with 15 as the atomic number and 31 as the mass number).

Part d)

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Therefore, the elements can be classified as follows:

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

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Sally has a desktop costing less than $1000.

Based on the given ordered pair chart, the individuals who have desktops are:

Michael: (Desktop, 1200)

Harry: (Desktop, 800)

George: (Desktop, 800)

Sally: (Desktop, 700)

Out of these four individuals, only Sally has a desktop costing less than $1000 (specifically $700).

Therefore, one person (Sally) has a desktop costing less than $1000.

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Answer:

500

Step-by-step explanation:

125x4=500

(125+125+125+125)  

Sorry if it's blurry, I can retake the picture

\(\color{plum}\tt\bold{(C) \: 500 \: mi}\)

Scale of a map :

=> 1 inch = 125 miles

Distance between two cities in map = 4 inches

Actual distance between the two cities :

\( =\tt 125 \times 4\)

\( =\color{plum}\tt 500 \: miles\)

Thus, the actual distance between the two cities = 500 miles

Therefore, the correct option is (C) 500 mi

Answer: 35841000

Step-by-step explanation: Well basically 10^5 is 10 followed by 4 zeros (100000). Knowing this multiply 358.41*100000 which is 35841000.

I think this is correct but I may have done something wrong

Remember that

The area of a triangle is given by the formula

where

A=160 m2

h=1600 cm=16 m

substitute in the formula given values

Answer:

Step-by-step explanation:

Solve the inequalities and match with the graphs

Answer:

7x < 42

x + 1 < 8

3x > 15

2x > 12

Step-by-step explanation:

> means "more than" (shading to the right)

< means "less than" (shading to the left)

Solve the given inequalities

    7x < 42  

⇒ 7x ÷ 7 < 42 ÷ 7

⇒  x < 6

An open circle on 6, shading to the left

   3x > 15  

⇒ 3x ÷ 3 > 15 ÷ 3

⇒ x > 5

An open circle on 5, shading to the right

   x + 1 < 8  

⇒ x + 1 - 1 < 8 - 1

⇒ x < 7

An open circle on 7, shading to the left

   2x > 12  

⇒ 2x ÷ 2 > 12 ÷ 2

⇒ x > 6

An open circle on 6, shading to the right

The missing answer is 8:12. Here are three equivalent ratios of 2/3: 4:6 (divide 2 by 0.5 and 3 by 0.5), 6:9 (divide 2 by 0.333 and 3 by 0.333) and 8:12 (divide 2 by 0.25 and 3 by 0.25).

To track down comparable proportions of 2/3, you want to increase or separation both the numerator and denominator by a similar element. For instance, you could duplicate both by 2 to get 4/6 or separation both by 3 to get 2/3. One more method for finding identical proportions is to improve on the part to least terms and afterward duplicate both the numerator and denominator by a similar element. For this situation, 2/3 is now in least terms, so you can simply duplicate both by 2 to get 4/6 or by 4 to get 8/12. In this manner, the three identical proportions of 2/3 are 4:6, 6:9, and 8:12.

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Answer:

Larger number=21

Smaller number=20

Step-by-step explanation:

20+21=41

21-20=1

Answer:

no pic

STEP-BY-STEP-EXPLANATION

Answer:

10.

Step-by-step explanation:

Write 2% as 2/100. Since finding the fraction of a number is same as multiplying the fraction with the number, we have 2/100 of 500 = 2/100 × 500? Therefore, the answer is 10? If you are using a calculator, simply enter 2÷100×500 which will give you 10 as the answer.

Answer:

There are 15 girls and 21 boys

Step-by-step explanation:

Answer:

15 girls

Step-by-step explanation:

Answer:

3t + 5.25b ≥ 340

Step-by-step explanation:

Answer:

$25 and 8 cents more

Step-by-step explanation:

55.50 - 30.50 = 25

18 - 10 = 8

first off let's notice a few things on that function.

the graph "passes" -5, that's a root, the graph "touches" 3 and goes back up, that's another root, but that's a root with an "even multiplicity", the heck does that mean? well, it means there are at least two roots, could be 4 or 6 or 18, so long is even, but we're shooting for the least degree, so we'll settle for 2.

now hmm, let's reword that

what's the equation of a function with roots at -5 and 3 twice, that it passes through (0 , 9)?

\(\begin{cases} x = -5 &\implies x +5=0\\ x = 3 &\implies x -3=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +5 )( x -3 )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=0\\ y=9 \end{cases} \\\\\\ a ( 0 +5 )( 0 -3 )( 0 -3 ) = 9\implies 45a=9\implies a=\cfrac{9}{45}\implies a=\cfrac{1}{5} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{1}{5}(x+5)(x-3)^2=y\implies \cfrac{1}{5}(x+5)(x^2-6x+9)=y \\\\\\ \cfrac{1}{5}(x^3-x^2-21x+45)=y\implies {\Large \begin{array}{llll} \cfrac{x^3}{5}-\cfrac{x^2}{5}-\cfrac{21x}{5}+9=y \end{array}}\)

Check the picture below.

Step-by-step explanation: look so if you have

shcool A its 8v+4b=12

and

School B: 12v+4b= 16

since both classes used 4 busses we can use elimination by subtracting the A class Equation from the b class equation to solve from v for its value Then, use either equation and the now found value for v to solve for b.

You should find part of the process to be

12v+4b-(8v+4b)=12-16 which shows the van holds only a few people even before continuing the solution.

Answer -4

Based on the provided information, the number of subjects examined is not explicitly mentioned. However, the given t-value (t(29) = 2.001) suggests that the study involved a sample size of 30 participants, as denoted by the degrees of freedom (df) in parentheses.

The notation t(29) = 2.001 represents a t-test, a statistical test used to determine if there is a significant difference between the means of two groups. In this case, the subscript "29" in t(29) denotes the degrees of freedom (df), which is calculated by subtracting 1 from the sample size. Therefore, df = 30 - 1 = 29.

Since the degrees of freedom are 29, it indicates that the sample size used in the study was 30 participants. The t-value of 2.001 represents the magnitude of the t-statistic, which measures the difference between the means of the two groups being compared.

The critical value for significance is not provided, but the statement "p < 0.05" suggests that the obtained p-value is less than 0.05, indicating statistical significance. However, the exact p-value is not given, so the level of significance cannot be precisely determined.

Overall, the information provided implies that the study involved a sample of 30 subjects, and the t-value and p-value suggest a significant result.

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Answer:

He earn approximately $2.14 everyday

Step-by-step explanation:

hope this helps :3

The value of tan33° is 11/20.

A triangle with an angle measure of 90° is called a right triangle.

Given that, tan(x) = (length of the opposite side)/ (length of an adjacent side)

Therefore, for the given triangle, it follows:

tan33° = 11/20

Hence, the value of tan33° is 11/20.

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Answer:

\(let \: slope \: be \: s \\ s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} ) } \\ s = \frac{( - 4 - 2)}{( - 3 - 3)} \\ s = \frac{ - 6}{ - 6} \\ s = 1\)

The probability that the number chosen is either less than 29 or odd is 7/9.

Probability is the measurement of how likely an event is to occur. Many events are impossible to forecast with absolute accuracy. We can only anticipate the possibility of an event occurring, i.e. how likely it is to occur, using it.

Probability can range from 0 to 1, with 0 indicating an impossible event and 1 indicating a certain event.

The total number of outcomes are 9.

Total number which are less than 29 are 6.

The total number of odd numbers are 6.

The probability that the chosen number is less than 29 is 6/9.

The probability that the chosen number is odd is 7/9.

The values that satisfy the condition "either less than 29 or odd" are {1, 2, 3, 5, 15, 21, 29.}

That's 7 out of 9 options.

Therefore, the requires probability is 7/9.

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The correct question is-

A number is selected from the set {1, 2, 3, 5, 15, 21, 29, 38, 500}. If equal elemental probabilities are assigned, what is the probability that the number chosen is either less than 29 or odd?