What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of

Answer:

t = 2

Step-by-step explanation:

Look at the fraction on the left, 1/3.

Notice that the denominator is 3 times the numerator.

Since the fractions are equal, for the second fraction, you also need the denominator to be 3 times the numerator. Since the denominator is 6, the numerator must be 2 since 6 is 3 times 2.

Answer: t = 2

Of course, since you have two fractions that are equal, and fractions are also ratios, you have a proportion.

You can solve the problem as a proportion.

1/3 = t/6

Cross multiply:

3t = 1 × 6

3t = 6

t = 6/3

t = 2

Either way, you get t = 2.

Answer:

45750 cm²

Step-by-step explanation:

    a = 4 and c = 5

 base length = 3ac²

                      = 3 * 4 * 5 * 5

                     = 300 cm

    height = 5 cm more than the base length

               = 300 + 5

               = 305 cm

      [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base \ length * height}[/tex]

                                    [tex]\sf =\dfrac{1}{2}*300*305\\\\= 150 * 305\\\\= 45750 \ cm^2[/tex]

Answer:

Step-by-step explanation:

As host, we want to insure each guest has at least one slice of pie.  We can say  (1 Slice/Guest) and use this as a conversion factor.  We also know each pie has 8 slices:  (8 Slices/1 Pie).  Since this is a conversion factor, we can invert it to (1 Pie/8 Slices).  We expect 38 people and want to convert that number of people to the number of pies, p, we need.

  p (pies) [tex]\geq[/tex] (38 Guests)*(1 Slice/Guest)*(1 Pie/8 Slices)

We use the [tex]\geq[/tex] sign to note that we need a minimum of pies to be sure everyone is served.

p (pies) [tex]\geq[/tex] (38 )*(1 /)*(1 Pie/8 )

Note how the units cancel:

Guests and Slices both cancel and we are left with pies as the only remaining unit, as we hoped we'd see.

p [tex]\geq[/tex] (38/8) pies

p = 4 +(6/8) pies

Since we cannot purchase 6/8 of a pie, we need to round up to 5 pies.

5 pies, at 8 slices per pie, will provide 40 servings, enough for the 38 guests.

Answer:

A, the answer is A

The answer is a because the question say what is I if I = 0. The question basically gave you the answer. In other words the question said, I = 0 what is I? Sorry if this is a bit confusing, I’m not that good at explaining.

Hope this helps!

Using it's concept, it is found that there is a 0.2312 = 23.12% probability that the person has a tattoo.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 995 people were surveyed, out of which 230 have tattoos, hence the probability is given by:

p = 230/995 = 0.2312.

0.2312 = 23.12% probability that the person has a tattoo.

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answer is 2 ⅓

Explanation

Length of arc = circumference of the base of the

cone

is β/360 x 2πR=2πr

make r the subject of formula

r =βR/360

r=60 x 14/360

r=2⅓cm

please mark as brainliest if i am right

The intermediate step in the following equation is (4x + 16)² = - 196

An Equation is the mathematical statement formed when two algebraic expressions are equated using an equal sign.

The given equation is

4x² +64x+467 = 15

4x² + 2 * 2x *16 + 256 -256 +467 = 15

(4x + 16)² +211 = 15

(4x + 16)² = - 196

Therefore the intermediate step in the following equation is

(4x + 16)² = - 196

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Step-by-step explanation:

thr standard form for a quadratic equation is:

ax²+bx+c

in this example, a=1, b=(-1), c=(-42)

The equation of the arithmetic sequence in which  t(5)=40 and t(10)=70 is tₙ = 10 + 6n

The equation of an arithmetic sequence can be represented as follows;

tₙ = a + (n  -1)d

where

Hence,

70 = a + 9d

40 = a  + 4d

30 = 5d

d = 30 / 5

d = 6

Therefore,

40 = a + 4(6)

40 - 24 = a

a = 16

Hence, the equation is as follows:

tₙ = 16 + (n - 1)6

tₙ = 16 + 6n - 6

tₙ = 16 - 6 + 6n

tₙ = 10 + 6n

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Subdividing [0, 8] into 4 equally-spaced subintervals, each one will have length ∆x = (8 - 0)/4 = 2, and the partition is

[0, 2] U [2, 4] U [4, 6] U [6, 8]

We approximate the integral with a left endpoint sum. The left endpoint of the i-th subinterval is

[tex]\ell_i = 2(i-1)[/tex]

where 1 ≤ i ≤ 4.

Then the integral is approximated by

[tex]\displaystyle \int_0^8 g(x) \, dx \approx \sum_{i=1}^4 g(\ell_i) \Delta x \\\\ = 2 (g(0) + g(2) + g(4) + g(6)) \\\\ = 2 (-1 - 3 - 1.25 - 1.5) = \boxed{-13.5}[/tex]

Answer:

x = -2/5 or x = -28/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(|2x+6|)=26

Step 1: Divide both sides by 5.

5(|2x+6|)/5 = 26/5

|2x+6|=26/5

Step 2: Solve Absolute Value.

|2x+6|=26/5

We know either2x+6= 26/5 r2x+6=−26/5

2x + 6 = 26/5(Possibility 1)

2x+6−6= 26/5 - 6 (Subtract 6 from both sides)

2x = -4/5

2x/2 = -4/5/2 (Divide both sides by 2)

x = -2/5

2x + 6=-26/5 (Possibility 2)

2x+6= -26/5 (Simplify both sides of the equation)

2x + 6 - 6 = -26/5  - 6 (Subtract 6 from both sides)

2x = -56/5

2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5

Answer:

x = -2/5 or x = -28/5

Exponential functions are typically organized in this format:

[tex]f(x) = a*c^x[/tex]

To find the equation given the graph of an exponential function:

Identify the horizontal asymptote

In this question, it appears to be x = 0.

Identify the y-intercept

The y-intercept is the value of y at which the graph appears to cross the y-axis. In this graph, it appears to be 100. This is our a value. Plug this into [tex]f(x) = a*c^x[/tex]:

[tex]f(x) = 100*c^x[/tex]

Solve for c

We can use any point that falls on the graph for this step. For instance, (1,50) appears to be a valid point. Plug this into our equation and solve for c:

[tex]f(x) = 100*c^x\\50 = 100*c^1\\50 = 100*c\\\\c=\dfrac{1}{2}[/tex]

Plug c back into our original equation:

[tex]f(x) = 100*(\dfrac{1}{2})^x[/tex]

[tex]f(x) = 100*(\dfrac{1}{2})^x[/tex]

Answer:

1) 122 = Angle DFA

2) 144 = Angle COB

3) 124 = CE

4) 58 = EOB

Step-by-step explanation:

I think this is correct. Correct me if im wrong

Answer:

[tex]\mathsf {11 \frac{1}{5} }[/tex] tons of concrete

Step-by-step explanation:

Here we need to divide fractions.

Concrete made :

Answer:

The first one

Step-by-step explanation:

[tex]n^{2} - 6n + 9 = (n-3)^{2}\\\\[/tex]

The expression removes the first 9 terms of the summation so the summation goes from 10 to 19

The best name for the part of the figure identified by the arrow is the plane of reflection option third is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have given a three-dimensional figure.

As we can see the arrow is pointing at the plane.

A triangular prism is reflected over the given plane and creates a mirror image of a triangular prism.

A plane is a plane of symmetry.

Thus, the best name for the part of the figure identified by the arrow is the plane of reflection option third is correct.

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We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.

This means you need to draw the segment with endpoints (9,1) and (2,3).

Answer:

A

Step-by-step explanation:

2a² + 2 + a - 2

+2 and -2 cancel

a² and a aren't like terms

final = 2a² + a

The values x and y take are 5 and 0 respectively.

We know that in mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way.

The relationships between two or more things are frequently represented by the points on a graph.

In this case, we have to determine the values of x and y.

Notice that in this graph, point A is located at A = 5 and point B is located at B = 0.

So, we can write (A, B) = (x, y) = (5, 0)

Therefore, the values x and y take are 5 and 0 respectively.

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Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

assuming the recurring digits are 0.272727.... , then

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.2727.... (1) ← multiply both sides by 100

100x = 27.2727... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 27 ( divide both sides by 99 )

x = [tex]\frac{27}{99}[/tex] = [tex]\frac{3}{11}[/tex] ← in simplest form

Answer:

Jimrgrant1 has already answered this correctly, 3/11.

Step-by-step explanation:

I took 1.0 and divided it by 0.272727 to give 3.666666 . . .

I looked for value that would convert this into a whole number when multiplied.  3 times 3.666666 . . . is equal to 11.  

That would mean a fraction equal to 0.272727 . . . would be 3/11

Answer:

-2

Step-by-step explanation:

just a guess but it's right

Answer:

Step-by-step explanation:

The volume of a cone is V = 1/3 [tex]\pi[/tex] * h * r^2

The height of the cone = the diameter of its circle.

Here is the expression:

Volume = 1/3 π * 2x * x^2

[tex]\frac{\pi *x^{2} *2x}{3}[/tex]

Hope I helped!

Answer:..

Step-by-step explanation: what is is not?

Answer:

1. is

2. amount raised, number of shirts sold

3. dependent, independent

4. 4

5. 4x

Step-by-step explanation:

Answer:

Using the concept of equation of line, we find that the relationship will be

C = $6.5p.

Step-by-step explanation:

If the cost per head is $6.5 and there are p persons entering the car, then the total amount would be $6.5p.

The final equation would resemble the equation of line y = mx + c.

The expression for the total cost C, would be

C = 6.5p.

Here y = C, x = p, m = 6.5 and c = 0.

So, the expression for the total cost will be the equation of line C = 6.5p.

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Answer:

√2

Step-by-step explanation:

Comment

You have differentiated the given equation. When you do that the x becomes 1.  F'(x) is going to be √2 no matter what x is.

Answer:

g(b-3) = -b + 7

Step-by-step explanation:

Plug in the value (b-3) as x into the equation

g(b-3) = -(b-3) + 4

distribute the negative sign

g(b-3) = -b + 3 + 4

combine like terms

g(b-3) = -b + 7

Answer:

4^3x=4^(4x+4)

Step-by-step explanation:

You can eliminate the first 2 options since those don’t make sense already, and the last option changed 64 to 2^6 which is correct, but when they changed the other side. They should have multiplied 8 to both x and 1 which would have made the whole term 2^(8x+8) and not 2^(8x+1). Left with the third option, 4 to the power of 3 is 64 so the left side makes sense, 4^3x=64^x, on the right side, 4^4 equals 256, so the whole exponent should multiply by 4 so from 256^(x+1) you get 4^4(x+1) giving 4^(4x+4) making the third choice the right answer.

Lets try to figuring out the definition of it.

1. Planning for the distribution of one's estate after death is Estate planning.

2. Trust: an estate, or other property or money, given to a person or institution to manage.

3. Compound interest: figured on the amount of money in the savings account plus the amount of interest already earned.

4. Dividend: a share of money earned as profits by a company and distributed to its stockholders.

5. Checking account: account allows you to write an instruction to the bank, as a check, to make a payment from that account.

6. Will a legal document that describes how your estate should be distributed upon.

8. Purchasing a bond is like loaning money to the company for interest.

9. Club accounts: accounts are set up to save for specific purchases.

11. Mutual fund: instrument in which you purchase a part of a collection of investments.

12. A debit card can be used like a credit card, but money is deducted directly from bank account.

13. Automatic Teller Machine: permits the customer to make transactions by using a special computer terminal.

14. Adjusted balance: balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement.

15. Certificate of deposit (CD) is a sum on deposit usually for a given period of time at a fixed interest rate.

18. A trust created while a person is still alive is called a Living Trust.

19. Intestate: without a will.

20. Interest is the fee a bank pays you to keep your money.

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Answer:

1. Planning for the distribution of one's estate after death is Estate planning.

2. Trust: an estate, or other property or money, given to a person or institution to manage.

3. Compound interest: figured on the amount of money in the savings account plus the amount of interest already earned.

4. Dividend: a share of money earned as profits by a company and distributed to its stockholders.

5. Checking account: account allows you to write an instruction to the bank, as a check, to make a payment from that account.

6. Will a legal document that describes how your estate should be distributed upon.

8. Purchasing a bond is like loaning money to the company for interest.

9. Club accounts: accounts are set up to save for specific purchases.

11. Mutual fund: instrument in which you purchase a part of a collection of investments.

12. A debit card can be used like a credit card, but money is deducted directly from bank account.

13. Automatic Teller Machine: permits the customer to make transactions by using a special computer terminal.

14. Adjusted balance: balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement.

15. Certificate of deposit (CD) is a sum on deposit usually for a given period of time at a fixed interest rate.

18. A trust created while a person is still alive is called a Living Trust.

19. Intestate: without a will.

20. Interest is the fee a bank pays you to keep your money.

Step-by-step explanation: