What is the 14th term of the geometric sequence 3,9,27,81,...

Answer:

-7/4

Step-by-step explanation:

We can find the slope of a line passing through two points by using

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

   = (-2 -5)/(1 - -3)

   = -7/ (1+3)

    = -7/4

Answer:

There are two possibilities for the number. They are 3531902 and 3135902

Step-by-step explanation:

(i) Given that the sum of the digits = 23

(ii) Largest digit is in the hundreds place (5th digit)

(iii) Smollest digit is in the tens place (6th digit)

(iv) Millions and tens thousands digits are the same, (1st and 3rd digit)

(v) Hundreds place is my only composit number(5th digit)

The composite numbers < 10 are 4, 6, 8, 9

(vi) Since the number is an even number, the 7th digit must be either 0,2,4,6,8.

It cannot be 4,6,8 due to case (v) and it cannot be 0 due to case (iii), hence 7th digit is 2 and the 6th digit has to be 0.

(vii) 5th digit has to be either 6,8 or 9, and by making it as 6 or 8, there are less options and it doesn't satisfy other conditions and so 9 is the 5th digit.

The 1 - 4 digits has to be filled by 1,3,5,7. By probability and case (i), there are 2 combinations, they are 3531902 and 3135902.

Answer:i think its 15 because if you take the km numbers and subtract them

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

a(1) = 20

a(n) = a(n - 1) x 3/2

---

start with  a(2) =  a(1) * (3/2) =  20* (3/2) = 30

a(3) = a(2) * (3/2) = 30 * (3/2) = 90/2 = 45

Answer:

45

Step-by-step explanation:

Answer:

6800 toothpicks

Step-by-step explanation:

Capacity (how many can be held) is another word for volume.

The equation for volume is

V = lwh

And in the regular-sized box V = 850 toothpicks, so

850 = lwh

We need to double each dimension. Multiply length by 2, width by 2, and height by 2. 2*2*2 = 8, so multiply both sides by 8.

8* 850 = 8 * lwh

6800 = lwh

The jumbo box can hold 6800 toothpicks.

The jumbo box will hold 1700 toothpicks.

The volume of cylinder is given by -

V = πR²h

Given is that there are 850 toothpicks in a​ regular-sized box. A jumbo box is made by doubling all the dimensions of the​ regular-sized box.

The volume {V} cubic units of the box can hold 850 toothpicks.

The volume {1} cubic units of the box can hold (850/V) toothpicks.

The volume {2V} cubic units of the box can hold (850/V x 2V) toothpicks.

(850/V x 2V)

850 x 2

1700

Therefore, the jumbo box will hold 1700 toothpicks.

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Answer:

2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

trust

Answer:

11/100

Step-by-step explanation:

Answer:3 1/2

Step-by-step explanation:

Answer:

  12

Step-by-step explanation:

It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...

  1 : √3 : 2

Then the sides marked will have the ratio ...

  6 : x = 1 : 2 = 6 : 12

  x = 12

_____

You can also get there using trigonometry.

  cos(60°) = 6/x

  x = 60/cos(60° = 60/0.5

  x = 12

Answer:

0.025

Step-by-step explanation:

-This is a conditional probability problem.

-Let L denote lens defect and C charging defect.

#We first calculate the probability of a camera having a lens defect;

[tex]P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025[/tex]

#Calculate the probability of a camera having a charging defect:

[tex]P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125[/tex]

The  the probability that a camera has a lens defect given that it has a charging defect is calculated as:

[tex]P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025[/tex]

Hence,  the probability that a camera has a lens defect given that it has a charging defect is 0.025

The probability that a camera has a lens defect given that it has a charging defect is 6/25 or 0.24.

The question asks for the probability that a camera has a lens defect given that it has a charging defect. To find this probability, we use the concept of conditional probability. From the data given, 25 cameras have charging defects and 6 cameras have both defects. The probability that a camera has both a lens and charging defect among those with a charging defect is:

P(Lens defect | Charging defect) = P(Lens and Charging defect) / P(Charging defect)

Which translates to:

P(Lens defect | Charging defect) = Number of cameras with both defects / Number of cameras with charging defects

P(Lens defect | Charging defect) = 6 / 25

Therefore, the probability is 6/25 or 0.24.

Answer:

1= 8

2= 1

3= ¼

Step-by-step explanation:

Let me choose 2. 2 becomes my base.

When the exponent is 3

1. 2³ = 2 * 2 * 2

= 8

When the exponent is 0

2. 2^0.

From the laws of indices. Exponent zero to any number = 1.

Therefore, 2^0 = 1

When the exponent is = -2

3. 2 `² = ¹/2 * 2

= ¼

Answer:

bbcs

Step-by-step explanation:

msade rekfflg.g

Answer:

A = 36 pi in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (6)^2

A = 36 pi in^2

Answer:

36pi in²

Step-by-step explanation:

Area = pi × r²

= pi × 6²

= 36pi

Answer:

1.  [tex]\( f\circ g(x)=0.05x-150[/tex]

2. [tex]\( g\circ f(x)=0.05x-3000[/tex]

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             [tex]\( f\circ g(x)=f(g(x)) \)[/tex]    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

       [tex]f(g(x)=0.05(x - 3000)[/tex]

       [tex]f(g(x))=0.05x-150[/tex]

2. The composition of the function

                                                             [tex]\( g\circ f(x)=g(f(x)) \)[/tex]                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      [tex]g(f(x))=((0.05x)-3000)=0.05x-3000[/tex]

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  [tex]f(g(x)=0.05(x - 3000)[/tex]

       [tex]f(g(x))=0.05x-150[/tex]

Answer:ABCD

Step-by-step explanation:

Alternate interior angles are congruent if two lines are parallel, leading to the similarity of triangles through the Angle Angle Angle theorem.

Alternate interior angles are congruent only if the two other lines are parallel. If the two other lines are not parallel, the angles will still be alternate interior angles but they will not have the same measure, that is, they will not be congruent. Two triangles are similar if all three corresponding angles are congruent, established by the Angle Angle Angle (AAA) theorem.

Answer:

3 Pennies

Step-by-step explanation:

8 - 5 = 3, sally would have 3 left

Answer:

3 pennies

Step-by-step explanation:

Basically since she only has 8 pennies, and she used 5 of them, you subtract.

8-5=3

She has 3 cents.

Answer:

5

Step-by-step explanation:

First, get the number of green bracelets

Since they are 1/6, then this is equivalent to 1/6*12= 2 bracelets

Number of blue and green will be the sum of blue which is given as 5 and green already found to be 2

Blue and green=2+5=7

To get the number of red, we deduct the total blue and green feom the overal total

No. of red will be 12-7=5

Therefore, 5 bracelets are red

Answer:

Student council's savings reduced by [tex]\$56[/tex]

Step-by-step explanation:

Given:

Volunteers buy 8 backpacks for $4 each and fill each backpack with paper and pens that cost $3

To find:

Change in student council's savings

Solution:

Cost of paper and pens in each backpack = [tex]\$3[/tex]

Total cost of paper and pens in 8 backpacks = [tex]\$8[/tex]× [tex]\$3[/tex] =[tex]\$24[/tex]

Cost of each backpack = [tex]\$4[/tex]

Total cost of 8 backpacks = [tex]8[/tex]×[tex]\$4[/tex] = [tex]\$32[/tex]

So,  student council's savings reduced by [tex]\$32+\$24=\$56[/tex]

Answer:

you add all the number up and divide by how many numbers there are.

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Step-by-step explanation:

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The toy's height after 0-4 seconds can be found by substituting different values of t into the given equation.

The equation given to model the toy's height is h = -2t^2 + 7t + 4, where h is the height in feet and t is the time in seconds. To find the height of the toy after 0-4 seconds, we substitute different values of t into the equation.

For t = 0, h = -2(0)^2 + 7(0) + 4 = 4 feet.

For t = 1, h = -2(1)^2 + 7(1) + 4 = 9 feet.

For t = 2, h = -2(2)^2 + 7(2) + 4 = 12 feet.

For t = 3, h = -2(3)^2 + 7(3) + 4 = 11 feet.

For t = 4, h = -2(4)^2 + 7(4) + 4 = 4 feet.

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Answer:

Mika will have 0 dollars after 6 days.

Just by looking at this question, I dont know what im supposed to solve. Im guessing we are just trying to find how many days until Mika runs out of money.

Mika has $12 and spends $2 each day.

If we turn this into an equation, we will get 12-2x=0

12-2x=0       subtract 12 from both sides

-2x=-12        multiply both sides by -1

2x=12           divide by 2

x=6

Mika will run out of money in 6 days

The negative solution is - 1.

let

the number = x

When 5 is subtracted from the square of a number can be represented as follows;

The result is 4 times the number. The remaining part of the equation can be represented as follows:

Lets find the negative solution below

x²- 5 - 4x = 0

x² - 4x - 5 = 0

x² + x - 5x - 5 = 0

x(x + 1) -5(x + 1)

(x-5)(x + 1)

x = 5 or -1

Therefore, the negative solution is - 1.

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By solving the quadratic equation x^2 - 5 = 4x, we get two solutions: x = 5 and x = -1. The negative solution to this equation is x = -1.

Let's denote the unknown number as x. The problem statement translates to the equation x2 - 5 = 4x. To find the negative solution, we must solve this quadratic equation.

First, we move all terms to one side to get x2 - 4x - 5 = 0.

We then factor this quadratic if possible or use the quadratic formula. In this case,

(x - 5)(x + 1) = 0.

Setting each factor equal to zero gives us the solutions x = 5 and x = -1.

The question asks for the negative solution, so x = -1.

Answer:

7/25

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = expected outcome/total outcome

If the box contains 3 black pens, 7 blue pens, and 5 red pens, the total number of pens in the box is 3+7+5 = 15pens

Probability of pulling a red pen and replacing = 5/15 = 1/3

Probability of pulling a blue pen and replacing = 7/15

Probability of pulling a black pen and not replacing(using it) = 3/15

{Note that the total number of outcome used will still be 15 since the black pen was pulled out last even though it wasn't replaced.}

P(red, then blue, then black) = 1/3×7/15×3/15

= 63/225

= 7/25

Answer:

10 pull

As 48 seconds + 20 seconds push = 68 seconds

Step-by-step explanation:

Because she did 10 push = 20 seconds = 2 seconds each

12 pull = 48 seconds  = 4 seconds each

= 68 seconds combined.

Workings;

18 seconds found for the first set

We then find a divider of 68 and know that

6 x 3 = 18 seconds push

12 x 3 =36 seconds pull  T= 54

14 left over = 1 x 12 seconds pull

+ 2 seconds push

= 10 push = 20 seconds combined.

= 12 pull = 48 seconds combined.

68/24 = 2.8- so 14 x 2 = 28 and 10 x 4 = 40 so the answer is 14 push and 10 pull

Answer:

It's 10.

Step-by-step explanation:

I just got it right on my unit test review.

Final answer:

The areas of the parallelograms are calculated by multiplying the base by the height. The first parallelogram's area is 32 m², and the second parallelogram's area is 140 in².

Explanation:

Natalia is calculating the areas of parallelograms using the formula Area = base × height. For the first parallelogram with a base (b) of 8 meters and a height (h) of 4 meters, the area will be:

Area = base × height = 8 m × 4 m = 32 m².

For the second parallelogram given by her friend, with a base (b) of 14 inches and a height (h) of 10 inches, the area will be:

Area = base × height = 14 in. × 10 in. = 140 in².

This formula is essential for understanding the relation between the dimensions of a parallelogram and its surface area.

Answer: I believe it will take Bobby 2 more hours to hike 12 miles in total it’s 6 hours

Bobby will spend 6 hours hiking on Sunday.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that On Saturday, Bobby spent 4 hours hiking 8 miles. On Sunday, Bobby plans to hike 12 miles.

WE need to find the time he will spend hiking on Sunday.

Then 4 hours hiking =  8 miles.

12 miles = 4/8 x 12

= 1/2 x 12

= 6

Hence, it will take Bobby 2 more hours to hike 12 miles.

thus, he will spend 6 hours hiking on Sunday.

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Answer:

r≈8

Step-by-step explanation:

Answer: 8 units

Step-by-step explanation:

C= 2*pi*r

50.24 = 2*3.14*r

50.24=6.28

50.24/6.28

8=r

Answer:

no

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

5 m, 7 m, and 11 m do not form a right triangle.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

To determine whether 5 m, 7 m, and 11 m form a right triangle, we need to use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. That is:

c² = a² + b²

Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

So, let's check if the Pythagorean theorem holds true for the lengths of 5 m, 7 m, and 11 m:

11² = 5² + 7²

121 = 25 + 49

121 = 74

This is not true, so 5 m, 7 m, and 11 m do not form a right triangle.

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Answer:

The perimeters of the square and the equilateral triangle are equal.

Which equation represents this scenario? ✔ 4(3x + 3) = 3(5x + 0.5)

What is the value of x? ✔ 3.5

What is the perimeter of the polygons?✔ 54 units

Step-by-step explanation:

Answer:

C,D, and C

Step-by-step explanation: