What is the recursive formula for the geometric sequence with this explicit
formula?

a^n=9(-1/3)^(n-1)

What Is The Recursive Formula For The Geometric Sequence With This Explicitformula?a^n=9(-1/3)^(n-1)

Answers

Answer 1
The answer of this equation is a^n=9(-1/4) (n+ 1)

Related Questions

In total, 2 baseballs and 3 footballs cost $67. a football is $4 more than 3 times the cost of a baseball. find the cost of a baseball

Answers

The cost of the Baseball is $5.

Lets take football cost as "x"

And taking baseball cost as "y"

According to given conditions,

2y + 3x = 67

x= 3y + 4

Lets put the values of x in equation (1):

2y + 3 (3y+4) = 67

=> 2y + 9y + 12 = 67

=> 11y = 55

y = 5

x = 3(5) + 4

x = 19

Hence the cost of the Baseball is $5.

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The probability of picking an ace at random out of a
deck of 52 cards is What would be the probabil-
13
ity of picking an ace at random if 2 aces were
removed from the deck?

Answers

Answer:

2/50=1/25

Step-by-step explanation:

2 aces are removed hence 2 aces are left out of 50 cards

3 m
8 m
12 m
9m
6 m
Find the total surface area of the trapezoidal prism in the figure.

Answers

The total surface area of the trapezoidal prism is 180m². Option C

Total surface area of a trapezoidal prism

The formula for the total surface area of a trapezoidal prism is;

Total surface area = h (b + d) + l (a + b + c + d)

Where

b and d are parallel sides = 3, 9

h is the distance = 8

l is the length of the trapezoidal prism. = 12

Substitute into the formula

Total surface area = [tex]8(3 + 6) + 12(3 + 6)[/tex]

Total surface area = 72 + 108

Total surface area = 180 m²

Thus, the total surface area of the trapezoidal prism is 180m². Option C

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Michael rode on the train 168.45 miles the first week of work and 149.85
miles the second week. ABOUT how many miles did he ride on the train
during the two weeks?
a.) a little less than 320
b.) a little more than 320
c.) a little less than 330
d.) a little more than 330

Answers

Answer:

A little less than 320

Step-by-step explanation:

Round the miles to 168 and 150

Add together 168 + 150 = 318

Answer: a. a little less than 320

Two poles of different heights are used for a climbing event and need to be secured to the ground using wires. The shorter pole is 6.0 m tall and the wire is secured 8.0 m from the base of the pole. If wire of the taller pole is 16.0 m long. Determine the height of the taller pole .

Answers

Using similar triangles, it is found that the height of the taller pole is of 9.6m.

What are similar triangles?

Similar triangles are triangles that have the same angles, and whose side lengths are proportional.

The hypotenuse of the smaller triangle is given as follows:

h² = 6² + 8² -> h = 10.

Hence the proportional relationship is:

[tex]\frac{10}{16} = \frac{6}{h}[/tex]

Applying cross multiplication:

10h = 96

h = 9.6m.

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The water park charges a $45 fee plus $5 per student for a field trip. The
bowling alley charges a $35 fee plus $7 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Cost ($)
100
90
80
70
60
50
40
30
20
10
Field Trip Costs
y = 35+ 7x
y = 45 + 5x
1 2 3 4 5 6 7 8 9 10
Number of students

Answers

Using linear functions, the cost will be the same, of $70, when there are 5 students.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the functions are:

y = 45 + 5x.y = 35 + 7x.

The costs are the same when:

45 + 5x = 35 + 7x

2x = 10

x = 5.

The cost is:

y = 45 + 5 x 5 = $70.

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What value, written as a decimal, should lena use as the common ratio? 1.0 1.5 2.5 2.0

Answers

The Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0

According to the question,

1.0  1.5  2.5  2.0

a = 1.0

r = 1.5/1 = 1.5

r = 2.5/1.5 = 1.6667

r = 2/2.5 = 0.8

common ratio is different, so given sequence is not geometric sequence.

Hence,  the Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0.

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A data value is considered​ _______ if its​ z-score is less than 2 or greater than 2.

Answers

A data value is considered significantly low or significantly high  if its​ z-score is less than -2 or greater than 2.

What does it mean if z-score is 2?

A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average. For example, if a z-score is equal to -2, it is 2 standard deviations below the mean.

What does a standard deviation of 2 mean?

Standard deviation tells you how spread out the data is. It is a measure of how far each observed value is from the mean. In any distribution, about 95% of values will be within 2 standard deviations of the mean.

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The correct question is -

A data value is considered​ _______ if its​ z-score is less than minus−2 or greater than 2.

Given: regular ΔDAF; midpoints B, C, E; ∠DBE ≅ ∠FCE
Prove: DB ≅ FC

Answers

The theorem that would be included in the proof is: CPCTC theorem.

What is the CPCTC Theorem?

CPCTC stands for, "corresponding parts of the congruent triangles are congruent". The theorem states that, if two triangles can be proven to be congruent, then all the corresponding parts of the two triangles are equal to each other.

To prove that DB ≅ FC, given regular triangle DAF in the image attached below, we would have the following statements followed by their reasons in the bracket:

1. angle D ≅ angle F [given]

2. angle DBE ≅ angle ECF [given]

3. side DE ≅ side EF [given]

4. ΔDBE ≅ ΔECF [by the AAS congruence theorem]

5. DB ≅ FC [by the CPCTC theorem]

With the given proof, we can state that side DB is congruent to side FC.

Therefore, to prove that DB ≅ FC, the theorem that would be included in the proof is: CPCTC theorem.

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N
Mason is creating a design using a straightedge and compass. He wants to construct a segment FG, which is congruent to segment BE in the
given figure.
A. the distance from B to E
To what width should Mason set his compass when constructing segment FG?
OB.
O C.
O D.
the distance from D to F
The distance from F to c
A
the distance from A to C
F
A
D

Answers

The width that Mason should set his compass when constructing segment FG is: A. The distance from B to E.

Width

FG should be congruent to segment BE. Based on this Mason should set his compass to the width of segment BE when Mason is constructing segment FG.

Hence, the width that Mason should set his compass when constructing segment FG is the distance from B to E which is option is A.

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Answer:

b to e

Step-by-step explanation:

plato

Describe the following expressions in words: x+4 ​

Answers

Four added to a number

Hope this helped :)

can someone please help me

Answers

Based on definition of unit circle and angle properties on Cartesian plane, we find the following results: A: π/5, B: 3π/7, C: 4π/3.

How to determine angles in a unit circle

Units circles are commonly used to understand angles and trigonometric functions in a simple way. Vectors in a unit circle are ordered pairs of polar form: (x, y) = (cos θ, sin θ).

To solve this problem, we must take these tips into account:

Angles in the first quadrant are within 0 < θ < π/2.Angles in the second quadrant are within π/2 < θ < π.Angles in the third quadrant are within π < θ < 3π/2.Angles in the fourth quadrant are within 3π/2 < θ < 2π.

Then, we have the following results: A: π/5, B: 3π/7, C: 4π/3.

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You are tasked with constructing a rectangular box with a square base, an open top, and a volume of 184 in3. Determine what the dimensions of the box should be to minimize the surface area of the box. What is the minimum surface area

Answers

The dimension of the box should be 1.7×1.7×3.58 in inches, applying minimization of surface area.

Dimensions to Minimize the Surface Area of the Box

It is given that the box is square based with an open top.

⇒ The box has one square and 4 rectangles

Thus, the total surface area of the box is given as,

S= a²+ab+ab+ab+ab  

S= a²+4ab ______________ (1)

Here, a is the side of the squared base and length of the rectangular sides of the box, b is the breath of the rectangular sides of the box.

This equation is later used for minimization of the surface area.

Also, the volume, V = a²b

It is also given that volume of the box is 184 in³.

⇒ 184 = a²b _____________ (2)

Forming a One-Variable Equation

From equation (2), b=184/a²

Now, substitute this value of b in equation (1) to get,

S = a² + 4a(184/a²)

S = a² + 4(184/a)

S = a² + 736/a

Minimization of Surface Area to find the Dimension

We require a dimension that will minimize the surface area of the box. Hence, applying minimization surface area, dS/da = 0

dS/da = 2a -736/a²

0 = 2a -736/a²

⇒ 0 = 2a³- 736

2a³ = 736

a³ = 736/2

a³ = 368

a = ∛368

a= 7.17 in

∵V = a²b

184 = (7.17)²b

b = 184/7.17²

b = 184/51.4089

b = 3.58 in

Therefore, 1.7×1.7×3.58 in inches is the required dimension for the box, using minimization of surface area..

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Look at the image below.
Find the area of the parallelogram.

Answers

Answer: 80 square units

Step-by-step explanation:

[tex]A=(8)(10)=80[/tex]

how much would 500 invested at 4% interest compounded continuously be worth after 7 years? round your answer to the nearest cent

Answers

Answer: the answer is 661.55

Step-by-step explanation:

interest formula: F = Pe^(rt)

Statement
The wastes from
nuclear power plants
are very toxic.
Nuclear power plants
produce less air
pollution than power
plants that use fossil
fuels.
Nuclear power plants
are safe.
The benefits of nuclear
power outweigh the
risks.
How my answer changed
Part of the lesson or other evidence that
changed my mind supported my original
answer
H

Answers

The new statement will be:

The nuclear power plants wastes are very toxic.Air pollution from Nuclear power plants is much lower that  from powerplants that make use of fossil fuels.Power plants that are Nuclear  are regarded as safe.The risks of nuclear power is much more lower than the benefits.

What changed my mind in the above?

Nuclear energy is known to be one that produce a lot of radioactive waste and this tends to pose a threat to  human health and the environment.

Hence, The new statement will be:

The nuclear power plants wastes are very toxic.Air pollution from Nuclear power plants is much lower that  from powerplants that make use of fossil fuels.Power plants that are Nuclear  are regarded as safe.The risks of nuclear power is much more lower than the benefits.

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Find three consecutive integers such as two times the first integer, plus three times the second integer, minus the third integer, is equal to 21.

Answers

The three consecutive integers are 5, 6, and 7.

What are consecutive integers?

Whole numbers that follow one another without a gap are known as consecutive integers. A few examples of consecutive integers are 15, 16, and 17, 1,2 and 3, and so on.

Finding the Consecutive Integers

Let the three consecutive integers be a, a + 1, and a + 2.

These three consecutive integers are to be such that two times the first integer when added to three times the second integer minus the third integer, it is equal to 21.

⇒ 2a + 3(a+1) - (a+2) = 21

2a + 3a + 3 - a -2 = 21

5a - a + 3 - 2 = 21

4a + 1 = 21

4a = 20

a = 20/4

a = 5

∴ a+1 = 5+1

a+1 = 6

And, a+2 = 5 + 2

a +2 =7

Hence, the three consecutive integers come out to be 5, 6, and 7

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Suppose a and b are independent events. if p(a) = .5 and p(b) = 0.45 what is p(a^b)

Answers

If P(a)=0.5 and P(b) =0.45, then P(a ∩ b) is 0.225.

What are independent events?

Independent events are events such that the occurrence of one event won't affect the other.

Therefore,

P(a) × P(b) = P(a ∩ b)

Hence,

P(a) = 0.5

P(b) = 0.45

Therefore,

P(a ∩ b) = 0.5 × 0.45

P(a ∩ b) = 0.225

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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4

Answers

The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

2.3p – 10.1 = 6.49p – 4 and230p – 1010 = 650p – 400 – p

Which equations have the same solution as the given equation?

It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.

The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.

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Answer:

B & C

Step-by-step explanation:

edge 2023

The diagram below shows a logo formed by removing a semicircle with diameter AB and a
rhombus DEFG from an isosceles trapezium ABCE where AE = BC.
Find the area of the logo.

Answers

The area of the logo is 136. 14 cm²

Determining the area

First, let's find the area of the semicircle

Area of semicircle = 1/2(πr²)

radius = 8/2 = 4cm

Substitute into the formula

Area of semicircle = [tex]\frac{1}{2} * 3. 142 * 4 * 4[/tex] = 25. 135 cm²

Now, let's find area of trapezium

Area of trapezium = [tex]\frac{a + b}{2} * h[/tex]

Area =  [tex]\frac{12 + 10. 2}{2} * 10[/tex]

Area = [tex]11. 1 * 10[/tex]

Area = 111 cm²

Area of logo = Area of trapezium + area of semicircle

Area of logo = 111 +  25. 135

Area of logo = 136. 14 cm²

Thus, the area of the logo is 136. 14 cm²

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visualize "4.298" on the number line

Answers

Answer:

Step-by-step explanation:

The visualization of "4.298" on the number line is attached below.

How does the dot plot work?

Suppose we're measuring something whose values are numeric.

For each value of that thing we observe, we plot a dot above that value in the number line.

Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

We know that 4.298 is greater than 4 but less than 5.

The visualization of "4.298" on the number line is attached below.

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Which choice is equivalent to the quotient below? √16 OA. A OB. N/హ / OC. 2 D. √√2​

Answers

Answer:

C

Step-by-step explanation:

Please refer to the attached photo for step by step solutions.

Note: Square roots and squares will always cancel out each other.

What is 8 11/12 + 9 5/18

Answers

Step-by-step explanation:

The picture is the full explanation for this question answer.

18.19 is the solution for the given improper function.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

To add 8 11/12 and 9 5/18, we need to first find a common denominator. The smallest number that both 12 and 18 divide evenly is 36.

Converting 8 11/12 to an improper fraction:

8 11/12 = (8 × 12 + 11) / 12 = 107/12

Converting 9 5/18 to an improper fraction:

9 5/18 = (9 × 18 + 5) / 18 = 167/18

Now that we have a common denominator of 36, we can add the two fractions:

107/12 + 167/18 = (107 × 3) / (12 × 3) + (167 × 2) / (18 × 2)

= 321/36 + 334/36 = 655/36

So 8 11/12 + 9 5/18 = 655/36 or approximately 18.19.

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Find the volume of a pyramid with a square base, where the side length of the base is
18.7 ft and the height of the pyramid is 8.8 ft.

Answers

Answer:

1025.76

Step-by-step explanation:

Formula for a right rectangular pyramid is (l*w*h)/3

The length and width are both 18.7, so we can plug that in. The height is 8.8.

It becomes:

(18.7*18.7*8.8)/3, which equals the answer above.

EXTRA POINTS, AND ILL GIVE YOU BRAINLIEST
1 x/3 - 3/4 = 5/12 solve for x!

Answers

The solution to the expression x/3 - 3/4 = 5/12 is given as x = 7/2

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

x/3 - 3/4 = 5/12

Hence:

x/3 = 5/12 + 3/4

x/3 = 7/6

x = 7/2

The solution to the expression x/3 - 3/4 = 5/12 is given as x = 7/2

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What is WX? Explain your reasoning.
I know all the angles but I’m not sure on how to find WX or what equation to use.

Answers

Answer:

180

Step-by-step explanation:

Solution 1: Any straight line is 180 degrees.

Solution 2: Angle WX=Angle YZW+ Angle YZX

Angle YZW=Angle YZX=90

Angle YZW+ Angle YZX=90+90=180

So Angle WX=180

Answer:

Step-by-step explanation:

You can find WX if you know some special properties of special triangles:

1. A 45-45-90 triangle (a triangle with angle measures of 45°, 45°, and 90°) will have a 1:1:√2 ratio (the legs of the triangle are the same length and the hypotenuse is the length of any leg times √2)

2. A 30-60-90 triangle (a triangle with angle measures of 30°, 60°, and 90°) will have a 1:√3:2 ratio (the hypotenuse is twice the measure of the shorter leg, and the longer leg is √3 times the length of the shorter leg)

For reference, a leg is a side on a right triangle that isn't the hypotenuse.

In this picture, the first type of triangle is on the right, and the second type is on the left.

WZ

The shorter leg on the left triangle has a length of 10, and WZ is the longer leg. The longer leg is √3 times the shorter one, so WZ = 10√3

ZX

Both legs of a 45-45-90 triangle have the same measure, so ZX is 10.

Since WX is made up of WZ and ZX, it's length is the sum of both lengths.

[tex]{\rm WX} = 10\sqrt{3}+10[/tex]

[tex]{\rm WX} \approx 27.321[/tex]

Destiny bags 3 grocery bags a minute. how long will it take her to bag 150 bags?

Answers

Answer: I believe its 50 because you would have to see 3 x what equals 150

Step-by-step explanation:

The time taken to her to bag 150 bags is 50 minutes.

What is grocery?

Grocery Items are any of the items listed that are offered only for off-premises consumption are as follows:-

(1) packaged or fresh fish, meat, or poultry.

(2) packaged or fresh plants or vegetables.

(3) packaged or fresh dairy goods (other than ice cream, frozen yogurt, or other confection/dessert items).

According to the given question, Three grocery bags are packed every minute. So, the time taken to 150 bag the time taken is computed as follows:-

Time Taken =  Total number of bags/Number of bags per minute

                   =  150 / 3

                   =  50 minutes

Therefore, it can be concluded that the time taken for her to bag 150 bags is 50 minutes.

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Which of the following equations will produce the graph shown below?

Answers

The equation that will produce the given graph is; 6x² + 6y² = 144

What is the equation of the Circle?

The standard equation of a circle can be expressed as:

(x + a)² + (y - b)² = r²

where;

(a, b) is the center of the circle

r is the radius of the circle.

From the diagram, we can see that the radius of the circle is between 4 and 5.  Thus, the correct equation must have a radius between these values.

From the option, we can see that the only equation that will have a radius between 4 and 5 is;

6x² + 6y² = 144

Divide through by 6 to get;

x² + y² = 24

x² + y² = √24

Thus r = √24 which is greater than 5

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Juan needs to rewrite this difference as one expression. First he factored the denominators. What step should Juan take next when subtracting these expressions

Answers

The next step Juan will take is to multiply the second fraction by (x-2)/(x-2).

Given that Juan needs to rewrite this difference as one expression (3x/(x²-7x+10))-(2x/(3x-15)) and factor the denominator as (3x/(x-2)(x-5))-(2x/3(x-5)).

An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.

The given expression is (3x/(x²-7x+10))-(2x/(3x-15))

Firstly, we will factored the denominator as

(3x/(x-2)(x-5))-(2x/3(x-5)).

Now, we will multiply and divide the second fraction by (x-2), we get

(3x/(x-2)(x-5))-((2x(x-2))/3(x-5)(x-2)).

Hence, the next step when subtracting these expressions (3x/(x-2)(x-5))-(2x/3(x-5)) is multiply the second fraction by (x-2)/(x-2).

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Solve for m
-7+4m+10=15-2m−7+4m+10=15−2mminus, 7, plus, 4, m, plus, 10, equals, 15, minus, 2, m
m=

Answers

The value of m based on the given equation -7 + 4m + 10 = 15 - 2m is 2

Algebra

-7 + 4m + 10 = 15 - 2m

collect like terms

4m + 2m = 15 + 7 - 10

6m = 12

divide both sides by 6

m = 12/6

m = 2

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What was the diaspora caused by PART A: Which of the following best describes the speaker's feelings about America? True or False Exponential Growth occurs when the same number is added tothe consecutive output values. A biologist studies a population of anteaters living in a large nature reserve. The reserve is surrounded by farms where anteaters are not safe, but the reserve is a perfect place for anteaters: there are few predators and lots of ants. The biologist counts the number of anteaters in the reserve every year for twenty years and finds the size of the population does not change much. Which of the following is the best description of what life in this reserve is probably like for these anteaters?a. The anteaters have little or no difficulties obtaining food and raising offspring. ants. Their tongues are 24 inches long and covered with sticky saliva. Anteaters cannot open b. Adult anteaters compete for food and many young anteaters die. theirmouth, and do not have teeth. Even the stomachs of anteaters are unique: unlike most mammals,c. It is impossible to know without actually observing anteaters in the reserve. Please helpp this is worth my gradePart D Some advertisements may state opinions and some may make exaggerated claims. For the purpose of this activity, you will create an advertisement based on real facts. So make sure that your research is strong and well supported. Conduct further research if needed on the civilization you chose. Form at least three arguments that support the civilization as the "best." Make sure that you provide at least two sources to support your argument. One of Japan's major achievements was:O A. giving women the same rights as men.O B. developing the haiku form of poetry.C. letting all people vote for their leaders.O D. conquering a large empire in Asia.SU 3. The pressure at the bottom of the ocean is great enough to crush submarines with steel walls that are 10 centimeters thick. Suppose a submarine is at a depth of 1,000 meters. The weight of water above each square meter of the submarine is 9,800,000 newtons. expand 3(n+6)This for the test Someone please let me know the answer Which of the following is not a premise of Cell Theory?l. All cells arise from other cells.ll. All living cells require water for survival.lll. All living things are only composed of cells.Choose 1 answer:a. I onlyb. ll and lllc. ll onlyd. lll only Seven subtracted from a number is -18 Find the 11th term of the geometric sequence 10,-40,160, ... Facts about the chip category obtained from AC Nielsen are?syndicated data.survey data.questionnaire data.primary data.experimental data. _____ is defined as to make fun of someone or something, especially by imitating a behavior.Question 39 options:a) Colossalb) Despairc) Mockd) Pedestal Given the functions f(x) = 6x + 11 and g(x) = x2 + 6, which of the following functions represents f[g(x)] correctly? f[g(x)] = 36x2 + 132x + 127 f[g(x)] = 36x2 + 132x + 121 f[g(x)] = 6x2 + 47 f[g(x)] = 6x2 + 36 HELP ME PLEASE!!!!ITS DUE TODAY!! A right triangle has an angle that measures 47. What is the measurement of the third angle in the triangle? Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.radius of the base (m) Total surface area of the cone. any two ways to reduce sound pollution Read the excerpt from Roosevelts State of the Union address and the poster below it. Fortunately, there are only a few Americans who place appetite above patriotism. The overwhelming majority realize that the food we send abroad is for essential military purposes, for our own and Allied fighting forces, and for necessary help in areas that we occupy. Poster about rationing. Both the speech and the poster convey the importance of conserving resources at home so troops can have more. making sure that all citizens receive a fair share. displaying patriotism in all facets of ones daily life. donating money to provide supplies for the troops.