Which expression represents 10 times the sum of 2 and 1?A. 10 X 2+1B. 10x2x1C. 10+ (2x1)D. 10 x (2+1)

The sum of the first 8 terms in the given geometric series is 65,535.

A geometric series is a sequence of numbers in which each term after the first is obtained by multiplying the previous term by a fixed non-zero constant called the common ratio.

In this case, the common ratio is 4, and the first term is 3. So, the first 8 terms of the series are:

3, 12, 48, 192, 768, 3072, 12288, 49152

To find the sum of the first 8 terms, we can use the formula for the sum of a finite geometric series:

S = a(1 - r^n) / (1 - r)

where S is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

Plugging in the given values, we get:

S = 3(1 - 4^8) / (1 - 4)

Simplifying the expression, we get:

S = 65,535

Therefore, the sum of the first 8 terms in the given geometric series is 65,535.

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--The question is incomplete, answering to the question below--

"The common ratio in a geometric series is 4 and the first term is 3. Find the sum of the first 8 terms in the series."

From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.

The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.

The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).

Given the following division, f(x)/ x + 2

We can rewrite the binomial in this form:

x + 2 = x - (-2)

The division then becomes:

f(x)/ x - (-2)

From the remainder theorem, the remainder will be -2.

Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2

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Answer:

A) T = 24

b) 77.953

c)  t > 63.78 , t < 5.6

d) (7.029,27.5) and (40.97,55.23)

Step-by-step explanation:

Given

F(t) = t^2 e^-t/12, t ≥ 0

a) time for maximum concentration

  t = 24

b) determine maximum concentration at maximum time

F(24) = 77.953

c) determine when the concentration will dip below the level of 20.0

when t > 63.78 , t < 5.6

d) concentration function changes concavity  ( estimated from a graph )

(7.029,27.5) and (40.97,55.23)

attached below is the detailed solution

Solution:

Given:

The rectangular coordinate;

To convert to polar coordinate;

Hence,

Therefore, as a polar coordinate, (2,-1) is;

Thus, the correct answers are OPTION A and OPTION C.

For The A) Graph:

Crystal's segments | Alexa's Segments | Total # of Segments

         2                      |            1                   |              3

         4                      |            2                  |              6

         6                      |            3                  |              9

         8                      |            4                  |              12

        10                     |            5                  |              15

        12                     |            6                  |              18

        14                     |            7                  |              21

this is really easy, please learn this graphing skill before it's too late.

An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block.

Instructional activities are routine segments of instruction that show how the teacher and students will participate and interact with materials and content.

An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block. For example, if one wants to teach students about fractional parts that are divided equally into twelfths, the analog clock can be ideal.

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Answer:

B

Step-by-step explanation:

Exponent product rule: If bases are same, add the exponents.

\(a^{m}*a^{n}= a^{m+n}\)

\((5x^{4}y^{2}z^{2}) *(3x^{4}y^{3}z^{5})=(5*3)x^{4+4}*y^{2+3}*z^{2+5}\\\\\\=15x^{8}y^{5}z^{7}\)

Answer:

8 to the power of 4

Step-by-step explanation:

since their are four 8, (8x8x8x8) , you have to put that into an exponent

still need proof?

8x8x8x8=4096

8 to the power of 4 = 4096

so to conclude, 8 to the power of 4 is the same thing as saying 8x8x8x8, it is jsut the exponent version

Answer:

$2,600

Step-by-step explanation:

Answer:

4000/3 * π

Step-by-step explanation:

The formula for the volume of a sphere is;

V = (4/3) * π * r^3

Where;

r = the radius of the sphere

Substituting the given value, we get;

r = 10

V = (4/3) * π * (10)^3

= (4/3) * π * 1000

= 4000/3 * π

Therefore the volume of the sphere is (4000/3)π cubic units.

Answer:

Step-by-step explanation:

Add v and 48°v

49v−46°

Answer:

The balance of the loan will be approximately $15,000. - Month 16

The balance of the loan will reach $0. -  Month 50

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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The coordinates of point M divides the line segment AB int he ratio 3 : 4 is given by ( 1, 0).

Ratio in which line segment AB divides m : n = 3 : 4

Let us consider the coordinates of A be ( x₁ , y₁ )  = ( 7, -3 )

Let us consider the coordinates of B be ( x₂ , y₂ )  = ( - 7 , 4)

Let us consider the coordinates of M be ( x , y )  

Using the formula of line segment divides in the ration m: n we have,

x = ( mx₂ + nx₁ ) / ( m + n )

y = ( my₂ + ny₁ ) / ( m + n )

Substitute the values we have,

x = ( 3 × (-7) + 4 × 7 ) / ( 3 + 4 )

  = ( -21 + 28 ) / 7

  = 1

y = ( 3 × (4) + 4 × -3 ) / ( 3 + 4 )

  = ( 12 - 12 ) / 7

  = 0

Therefore, the coordinates of point M which partition the line segment AB is equal to ( 1, 0).

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The above question is incomplete, the complete question is:

Find the coordinate of point M that partitions the segment AB in the ratio 3:4,if A (7,-3) and B (-7,4).

Answer:

The value of g(f(-3) would be -9

We have the following:

solving for b:

Therefore, the interval is:

Answer:

Does this help?

Step-by-step explanation:

2 = 4x + 12 and angle 4 = 7x - 6

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 2

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Graph 2= 4x + 12

Slope: Undefined

y-intercept: No y-intercept

Plot each graph on the same coordinate system.

4=

2=

4=

2= 4x + 12

4= 7x − 6

The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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Answer:

center (-13,2)   radius=9

Step-by-step explanation:

(x+13)^2+(y+2)^2=81

x=-13

y=-2

r=sq rt of 81

The center and radius of this circle \((x+13)^{2} +(y+2)^{2} = 81\) is (h, k) = (-13, -2) and r = 9.

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form,

\((x-h)^{2} +(y-k)^{2} = r^{2}\)

Given equation of circle

\((x+13)^{2} +(y+2)^{2} = 81\)..................(1)

By comparing the standard form of circle with equation 1, we get

(h, k) = (-13, -2) and

\(r^{2} = 81\)

⇒ \(r = \sqrt{81}\)

⇒ r = 9

Hence, the center and radius of this circle \((x+13)^{2} +(y+2)^{2} = 81\) is (h, k) = (-13, -2) and r = 9.

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Answer: -65.048

Step-by-step explanation:

-13.84(4.7) = -65.048

(you could also use a calculator)

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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Answer:

Z= (X1`-X2`)- (u1-u2)/\(\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}\)   (here s1=σ1 and s2= σ2)

Step-by-step explanation:

Let  X1` be the mean of the first random sample of size n1 from a normal population with a mean u1 and known standard deviation σ1.Let  X2` be the mean of the second random sample of size n2 from another normal population with a mean u2 and known standard deviation σ2. Then the sampling distribution of the difference X1`-X2` is normally distributed with a mean of u1-u2 and a standard deviation of

\(\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}\) .  (here s1=σ1 and s2= σ2)  In other words the variable

Z= (X1`-X2`)- (u1-u2)/\(\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}\)   (here s1=σ1 and s2= σ2)

is exactly standard normal no matter how small sample sizes are . Hence it is used as a test statistic for testing hypotheses about the difference between two population means.

The procedure is stated below.

1) Formulate the null and alternative hypotheses.

2) Decide on significance level ∝

3) Use the test statistic Z= (X1`-X2`)- (u1-u2)/\(\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}\)   (here s1=σ1 and s2= σ2)

4) Find the rejection region

5)Compute the value of Z from the sample data

6) Rehect H0 if Z falls in the critical region, accept H0 , otherwise.

Answer:

I tried looking it up, and i found 15 square units. sorry if its wrong :(

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

\(Selected = 1000\)

(a): Samples & Population

The samples are the selected data from an overall population.

In this case, the samples are the selected citizens in Seattle, Washington

Since 1000 citizens were selected

\(Samples = 1000\)

Also, since the samples were selected from citizens in Seattle, Washington

Then the population are the citizens in Seattle, Washington

(b): Type of Statistics

From the question, we observe that the data was used to conclude that between 55% and 59% of the population would pay higher price.

This type of statistics is referred to as the inferential statistics.

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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