Given the functions f(n)=11 and g(n)=((3)/(4))^(n-1), combine them to create a geometric sequence, a_(n), and solve for the 9 th term.

Implicitly quantified statements can be converted into formally quantified statements by specifying the quantifiers and the domain of discourse.

To convert an implicitly quantified statement to its formally quantified statement equivalent, we need to determine the quantifiers and the domain of discourse.

1. For universally quantified statements, we use the universal quantifier (∀). It indicates that the statement holds for all elements in the domain of discourse. For example, if the statement is "All cats have tails," we can convert it to the formally quantified statement ∀x(Cat(x) → HasTail(x)), where Cat(x) represents "x is a cat" and HasTail(x) represents "x has a tail."

2. For existentially quantified statements, we use the existential quantifier (∃). It indicates that there exists at least one element in the domain of discourse for which the statement is true. For example, if the statement is "There is a red apple," we can convert it to the formally quantified statement ∃x(Red(x) ∧ Apple(x)), where Red(x) represents "x is red" and Apple(x) represents "x is an apple."

By explicitly stating the quantifiers and defining the predicates in the statement, we can convert implicitly quantified statements into their formally quantified statement equivalents, making the meaning and scope of the statement clear within a specific domain of discourse.

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Answer:

3.375

Step-by-step explanation:

To get the volume of a cube you need to multiply length width and height since the cube is similar in length width and height you need to multiply 1.5 by itself three times.

V=l×w×h

V=1.5×1.5×1.5

V=3.375

Note:you need to multiply it to itself three times not to the number three.

Also it is only used if one number is given if three numbers are given multiply those three numbers hope this helps have a good day

Answer:

144

Step-by-step explanation:

the area is 144 im prob wrong

Answer:

It might be perpendicular lines

Step-by-step explanation:

Answer:

199.9

Step-by-step explanation:

Answer:

The answer is B. 4.4 oz.

Step-by-step explanation:

What do we know? We have the 6-pack of 12-ounce bottles and they cost $2.99, we also know that the other bottle 67.6 ounces that also costs $2.99.

Forgot the money, we're just going to be looking at the ounces.

First, we take the 6-pack and multiply by 12 because we want the size as one, rather than seperate. 6 x 12 = 72

The question is asking how many more ounces are you getting if you purchase the 6-pack. In order to do this, we take the 72 ounces that we got and subtract that 67.6 ounces of the other drink. 72 - 67.6 = 4.4

The ounces saved are 4.4 ounces.

Answer:

I think the answer would be 65 , because :

2^4 + 7^2 = 16 + 49 = 65 .

hope it helps u ^.^

Answer:

65

Step-by-step explanation:

First you would solve the exponent and then you would add them

2 to the power of 4 = 16

7 to the power of 2 = 49

16 + 49 = 65

2 to the power of 4 + 7 to the power of 2 = 65

there are 16/20 x 1 gallon = 4/5 gallons of white paint in one gallon of purple paint (got it from safari)

Using the Russian Peasant Multiplication, 49 x 65 is 3,185.

The Russian Peasant Multiplication method converts the problem into binary (base 2) multiplication from base 10 by halving the numbers on the first column repeatedly till the second number doesn't become 1 and doubling the numbers on the second column.

Then, add up the numbers in the second column that correspond to odd numbers in the first column to get the result.

              49                   65

   ÷ 2      24                  130   x 2

               12                 260

                6                 520

                3               1,040

                1               2,080

Add:

65, because we ignored 1 when we divided 49 by 2

1,040, because we ignored 1 when we divided 3 by 2

2,080

= 3,185

Check:

49 x 65 = 3,185

Based on the Russian Peasant Multiplication method, the product of 49 x 65 is 3,185.

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Answer:

C 1/9

Step-by-step explanation:

She needs to run 1/3 of a mile and is going to run/jog/walk that 1/3 mile

So she must do 1/9 of a mile running, 1/9 walking, and 1/9 jogging because 1/3 is equivalent to 3/9.

Since she is going to run/jog/walk the same amount of the 1/3 she is going to run 1/9 of the 1/3

Let me know if I'm wrong

Hope I helped :]

Answer:

B

Step-by-step explanation:

The statement "If dy/dx is undefined for a given value of x, then the line tangent to the curve y = f(x) at that value does not exist" is false.

If the derivative dy/dx is undefined at a given value of x, it means that the slope of the tangent line is undefined at that point.

However, the tangent line can still exist.

For example, consider the curve y = |x| at x = 0.

The derivative dy/dx is undefined at x = 0 since the slope changes abruptly at that point. However, we can still draw a tangent line at x = 0, which is the y-axis itself.

Therefore, even if the derivative is undefined, it does not necessarily mean that the tangent line does not exist.

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Answer:

5:30 p.m.

Step-by-step explanation:

30.15 - 6 = 24.15

24.15 / 2.3 = 10.5 hrs

7 + 10.5 = 17.5 = 5:30 p.m.

Answer: The answer is g=x/16

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

g(-3) = (-3)^2 + 5(-3) [Take x value as -3]

        = 9 -15

        = -6

There is no sufficient evidence to conclude that p₁ ≠ p₂

From the question, we have the following parameters that can be used in our computation:

n₁ = 555

x₁ = 451

n₂ = 600

x₂ = 510

Calculate the pooled sample proportion using

p = sum of x/sum of n

So, we have

p = (451 + 510)/(555 + 600)

p = 0.832

Calculate the test statistic using

[tex]z = (\frac{x_1}{n_1} - \frac{x_2}{n_2}) \div (\sqrt{(p * (1 - p) / n_1) + (p * (1 - p) / n_2)}}[/tex]

So, we have

[tex]z = (\frac{451}{555} - \frac{510}{600}) \div (\sqrt{(0.832 * (1 - 0.832) / 555) + (0.832 * (1 - 0.832) / 600)}})[/tex]

When solved, we have

z = -1.699

The critical value at α = 0.05 level of significance is 1.645

The z = -1.699 is less than this value

This means that we fail to reject the null hypothesis

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Answer:

6

Step-by-step explanation:

8 - 2 / 2 - 1

6 / 1

6

Solution :

Given : [tex]$T(x)=7-9(x-2)^2-3(x-2)^3$[/tex]

a). f(2) = T(2) = 7

    [tex]$\frac{f""(2)}{2!} =-9$[/tex]  , so f''(2) = [tex]$-18$[/tex]

b).  Yes, since f'(2) = T'(2) [tex]$=$[/tex] 0, [tex]$f$[/tex] does have the critical point at [tex]$x=2.$[/tex]

   Since f''(2) = [tex]$-18$[/tex] < 0, [tex]$f(2)$[/tex] is relative maximum value.

c).  [tex]$f(0)=T(0)=-5$[/tex]

   It is also not possible for determining if [tex]$f$[/tex] has a critical point at x = 0 because [tex]$T(x)$[/tex]   gives exact information only at [tex]$x=2.$[/tex]

d). The Lagrange [tex]$\text{error}$[/tex] bound [tex]$=\frac{6}{4!}|0-2|^4= 4$[/tex]

     [tex]$f(0) \leq T(0)+4 = -1$[/tex]

     Therefore, [tex]$f(0)$[/tex] is negative.

Answer:

Step-by-step explanation:

Y- intercepts (-3 = 2 3, 0) , (-3 - 2 3, 0)

The term "TB 05-75 2/10, n/30" represents the payment terms for a transaction.

The term "TB 05-75 2/10, n/30" provides specific information regarding the payment terms for a transaction. Here's a breakdown of its components:

1. "TB": This stands for "Trade Discount" and signifies that the terms are related to a discount offered for the transaction.

2. "05-75": The numbers indicate a cash discount percentage and a payment period. In this case, "05" represents a cash discount of 5%, and "75" indicates a payment period of 75 days.

3. "2/10, n/30": These terms further elaborate on the payment conditions. "2/10" means that a 2% cash discount can be taken if the payment is made within 10 days. The "n/30" portion implies that the net payment is due within 30 days from the date of the transaction.

In summary, "TB 05-75 2/10, n/30" signifies that a trade discount is offered, a cash discount of 5% is available if payment is made within 10 days, and the net payment is due within 30 days. It provides clear guidelines for the payment terms and discounts associated with the transaction.

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Answer: 2035.8

Step-by-step explanation:

The volume of the cylinder is 2034.72 cubic ft

The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold or we can say the volume of a cylinder is the number of unit cubes that can be fit into it. The formula for volume of cylinder is V = A × h

Assuming the given cylinder is Right Circular Cylinder

Then the formula is V = πr²h

From the question radius (r)= 6ft

                               height (h)=18ft

volume (V)= π× 6² × 18

                 =2034.72 cubic ft

Thus the volume of the cylinder is 2034.72 cubic ft

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Answer:

2.88 mi

Step-by-step explanation:

Answer:

22.5 miles

Step-by-step explanation:

75/60 = x/18

60x = 1350

x = 22.5

Answer:

D. zero product property

Step-by-step explanation:

Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.

Thus,

xy = 0, therefore,

x = 0 or y = 0

Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.

I think that i got it but at the same time not sure but the value of a+b should be 14+20

To determine the components of the unit vector that points along the string, we need to break down the vector into its x and y components.

Given that the string makes an angle of 29 degrees to the vertical, we can define the unit vector as follows:

ˆr = ˆrx + ˆry

To find the x-component (ˆrx) of the unit vector, we can use the cosine of the angle:

cos(29°) = ˆrx

To find the y-component (ˆry) of the unit vector, we can use the sine of the angle:

sin(29°) = ˆry

Let's calculate the values:

ˆrx = cos(29°)

ˆry = sin(29°)

Using a calculator or mathematical software, we can find the numerical values of ˆrx and ˆry:

ˆrx ≈ 0.8829

ˆry ≈ 0.4695

Therefore, the components of the unit vector that points along the string are approximately:

ˆrx ≈ 0.8829

ˆry ≈ 0.4695

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Answer:

b, the probability that a customer buys a taco, a drink, or both is 45%

P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

In terms of this problem, P(A or B) = 0.45 represents the probability that a customer buys either a taco (event A) or a drink (event B).

When we say "P(A or B)," it refers to the probability of either event A or event B occurring. In this case, it means the probability of a customer buying a taco or a drink from the food truck.

The value of 0.45 indicates the numerical probability associated with the event A or B. It represents the likelihood that a randomly selected customer from the food truck will purchase either a taco or a drink.

Therefore, P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

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