2. What is the common ratio in this recursive definition?

01 = 4

0n = -1.50m-1

Answer:

A and D are your answers

Step-by-step explanation:

:) hope this helps

Answer:

A and C are the correct answers

xy and 3+7s+t

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

The easiest way to go about this is by turning our number into ABCD.

A will be in the 1000th spot, B 100th, C 10th, and D 1st.

A has to be ≥ 5. So 5, 6, 7, 8, 9.

B has to be a prime number. 2, 3, 5, 7.

C is able to be any number it wants, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Since the number is odd, D has to be 1, 3, 5, 7, 9.

A has 5 different possibilities. B has 4, C has 10, and D has 5.
You'll then multiply all of these numbers for your answer.
5 * 4 * 10 * 5 = 1000

The two solutions to the equation 3⁴ˣ-5 = (1/27)²ˣ+10 are x = 5/3 and x = -1/27.

An equation is a mathematical statement that states the equality of two expressions. It is typically written using symbols and numbers and can be used to represent a variety of different relationships. Equations are used to describe physical phenomena, solve problems, and make predictions. They are an important tool in science, engineering, and mathematics.

To solve the equation 3⁴ˣ-5 = (1/27)²ˣ+10 for x, we must first expand the terms and move all terms to the same side of the equation.

3⁴ˣ-5 = (1/27)²ˣ+10
3⁴ˣ - (1/27)²ˣ = 10 + 5
3⁴ˣ - (1/27)²ˣ - 10 - 5 = 0

Next, we must factor the equation.

(3⁴ˣ- (1/27)²ˣ) - (10 + 5) = 0
(3⁴ˣ- (1/27)²ˣ) - (15) = 0
(3⁴ˣ- (1/27)²ˣ - 15) = 0

Now, we must use the distributive property to expand the terms.

3⁴ˣ - 3²/27x - 15 = 0
3²(3²ˣ- 1/27x - 15) = 0

Next, we will factor out the 3^2.

3²ˣ(3²ˣ- 1/27x - 15) = 0
3²(3x - 1/27x - 5) = 0

Now, we must factor the trinomial.

3²(3x - 1/27x - 5) = 0
3²(3x - 5)(1/27x + 1) = 0

Now, we will use the Zero Product Property to solve for x.

3²(3x - 5)(1/27x + 1) = 0
3x - 5 = 0 or 1/27x + 1 = 0

To solve for x, we must solve each equation separately.

3x - 5 = 0
3x = 5
x = 5/3

1/27x + 1 = 0
1/27x = -1
27x = -1
x = -1/27

Therefore, the two solutions to the equation 3⁴ˣ-5 = (1/27)²ˣ+10 are x = 5/3 and x = -1/27.

To know more about equation click-
http://brainly.com/question/2972832
#SPJ1

Answer:

It would take Farmer John 10 hours on his own to till his field.

Step-by-step explanation:

Let;

J = Time spent by John alone

B = Time spent by Bob alone = 1.5 * J = 1.5J

Time spent by both = 6

Using reciprocal, time spent by John alone can be calculated as follows:

(1 / J) + (1 /1.5J) = 1 / 6

Multiply through by 6J and solve for J, we have:

(6J / J) + (6J / 1.5J) = 6J / 6

6 + (6 / 1.5) = J

J = 6 + 4 = 10

Therefore, it would take Farmer John 10 hours on his own to till his field.

Answer: 637 sq. in.

Step-by-step explanation: it was right on my quiz

\( \boxed{ \tt{its \: a \: straight \: line \: graph}}\)

The Area Of The Circle Is 452.16

The Circumference Of The Circle Is 75.36

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3,5)

Equation Form:

x=3,y=5

Step-by-step explanation:

the answer is 10ft hope this helps!

The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

To know more about An Isosceles triangle:

brainly.com/question/29793403

#SPJ4

To get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies, you would use a proportional relationship.

Let's say x represents the number of eggs used to make a certain number of cookies, y represents the number of cookies made, and z represents the number of eggs needed to make some other number of cookies.

Then, we can set up the proportion:

x eggs / y cookies = z eggs / (some other number of cookies)

We can then solve for z by cross-multiplying:

z eggs = x eggs * (some other number of cookies) / y cookies

This formula tells us how many eggs are needed to make the specified number of cookies, based on the number of eggs used and the number of cookies originally made.

Learn more about the proportional relationship at

brainly.com/question/29765554

#SPJ4

The probability P(A D) is 2/9

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

Cards = ADD

Given that the selection is with replacement, we have

P(A) = 1/3

P(D) = 2/3

Using the above as a guide, we have the following:

P(AD) = 1/3 * 2/3

Evaluate

P(AD) = 2/9

Hence, the probability is 2/9

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

The probability P(A D) is 2/9

Step-by-step explanation:

Answer:

I think it's false

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/5 x+3 ≤7

-1/5 x≤7-3

-1/5 x≤4

x≥-20

{-20,-10,0,10,20}

X = 1 , 4 are the value of x in logarithm.

A logarithm is defined simply?

A logarithm is a mathematical operation that raises a number to a given power in order to produce another number (see Section 3 of this Math Review for more about exponents).

                                    As an example, the logarithm of 100 in base ten is 2, since ten times two equals 100: log 100 = 2, since 102 = 100. The four most prevalent kinds of logarithms are common logarithms with a base of 10, natural logarithms with a base of e 2.71828, binary logarithms with a base of 2, and logarithms with a base of 2.

2log₃(6x) - log₃(4x) - 2log₃(x + 2) = 0

log₃(9x/(x+ 2)²) = 0

 exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then

         logb(x) = y  equivalent to \(b^{y}\) = x

   3⁰ =  9x/(x + 2)²

 9x =     3⁰ (x + 2)²

   9x = x² + 4x + 4

     -x² + 5x = 4

 Factor x out of -x²

    x(-x) + x. 5 = 4

      x(-x + 5) = 4

    -x² + 5x - 4 = 0

 - ( x - 4) ( x - 1) = 0

     x = 4 , 1

Learn more about logarithm

brainly.com/question/30085872

#SPJ1

Answer:

your answer is option B)0

Step-by-step explanation:

bye!!

Answer: do you have a picture

Step-by-step explanation:

Answer:

she had $117 before buying the pie

Step-by-step explanation:

:)

Answer:

$117

Step-by-step explanation:

$104 + $$13 = $117

The dot product between the vectors \( u = a\mathbf{i} + b\mathbf{j} \) and \( v = \mathbf{i} - b\mathbf{j} \) is \( a^2 - b^2 \).

To find the dot product between two vectors, we multiply their corresponding components and then sum them up.

Let's calculate the dot product between  \( u \) and \( v \):

\( u \cdot v = (a\mathbf{i} + b\mathbf{j}) \cdot (\mathbf{i} - b\mathbf{j}) \)

Expanding the dot product, we have:

\( u \cdot v = a\mathbf{i} \cdot \mathbf{i} + a\mathbf{i} \cdot (-b\mathbf{j}) + b\mathbf{j} \cdot \mathbf{i} + b\mathbf{j} \cdot (-b\mathbf{j}) \)

Since \( \mathbf{i} \) and \( \mathbf{j} \) are orthogonal unit vectors, their dot products with themselves are equal to 1, and their dot product with each other is equal to 0:

\( \mathbf{i} \cdot \mathbf{i} = 1 \)

\( \mathbf{i} \cdot \mathbf{j} = 0 \)

\( \mathbf{j} \cdot \mathbf{j} = 1 \)

Simplifying the dot product of \( u \) and \( v \):

\( u \cdot v = a(1) + a(0) + b(0) + b(1) = a + b \)

Therefore, the dot product between u and v is a + b.

To learn more about vectors, click here: brainly.com/question/17157624

#SPJ11

Answer:

13366.25 in³

Step-by-step explanation:

The volume of a box can be found by multiplying the base area and height together.

Volume of a box

= base area ×height

= 314.5(8.5)

= 2673.25 in³

Volume of 5 boxes

= 5(2673.25)

= 13366.25 in³

Answer:

13,366.25

Step-by-step explanation:

314.5 x 85 = 2,673.25

2,673.25 x 5 = 13,366.25

The conditions for conducting one-sample t-procedures are as follows:

1. Random Sample: The data should be obtained from a random sample or a randomized experiment to ensure that it is representative of the population of interest. This condition helps to minimize bias and ensure the validity of statistical inference.

2. Independence: The observations within the sample should be independent of each other. In other words, the values should not be influenced by each other and should be selected or measured independently. Violation of independence can lead to inaccurate results.

3. Normality or Large Sample Size (Central Limit Theorem): The population from which the sample is drawn should follow a normal distribution, or the sample size should be sufficiently large. If the population is known to be normally distributed, there are no specific requirements on the sample size. However, if the population distribution is unknown, the sample size should generally be at least 30 to apply the Central Limit Theorem, which states that the sample mean tends to follow a normal distribution, regardless of the population distribution shape.

4. Outliers: The presence of outliers can have a significant impact on the results of t-procedures. It is important to check for and address any outliers in the data. Outliers can distort the distribution and violate the assumptions of the t-test.

5. Equal Variances (for two-sample t-test): In the case of a two-sample t-test, if comparing two groups, the variances of the two populations should be equal. This assumption is necessary for calculating the correct degrees of freedom and obtaining accurate results. If the variances are not equal, a modified version of the t-test, called the Welch's t-test, can be used instead.

It is important to carefully assess these conditions before conducting one-sample t-procedures to ensure that the results are valid and reliable. Violations of these conditions may require alternative statistical tests or adjustments to the analysis.

to know more about Theorem visit:

brainly.com/question/28667736

#SPJ11

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

y = 65 degrees

Vertically Opposing Angles

180 - 65 = 115

z and x = 115 degrees

Vertically Opposite Angles

hope it helps you,

mark me as the brainliest....

Follow me!

The correct statements about the box plots are:

the median of nadia’s data is equal to the median of ben’s data.

nadia had the highest score on a test.

A box plot is used to study the distribution and level of a set of scores. The scores are distributed into 4 groups. Each group has a value of 25%

The ends of the whiskers represents the minimum score and the maximum score.  The maximum score of Nadia is 99 while that of Ben is 98.

The median is the line at the center of the box. Both lines are on the same number.

Please find attached the complete question. To learn more about box plots, please check: https://brainly.com/question/27215146

#SPJ4

Answer:

C and D

Step-by-step explanation:

Answer:

y=x+-5

Step-by-step explanation:

y is x+-5 because as you can see in the graph the difference in everysingle one is -5 so y=x-5

Answer:

y=x+(-5)

Step-by-step explanation:

d=-3-(-4)=-3+4=1

y-(-4)=1(x-1)

y+4=x-1

y=x-1-4

or y=x+(-5)

Answer:

66

Step-by-step explanation:

I have a lot to do so there won't be a step by step

The number of ways of different platters will be 360 ways.

From the information, it should be noted that the salad bar offers 6 different vegetables and it was illustrated that Selena wants to get exactly 2 different vegetables in the platter.

The number of different platters that she can create will be:

= nCr

n = total vegetables

r = amount needed

= 6! / 2!

= 6 × 5 × 4 × 3 × 2 / 2

= 360 ways.

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

The orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

To find the orthogonal complement w⊥ of w, we need to find the set of all vectors that are orthogonal (perpendicular) to w.

Given w = (x, y, z) = (12t, -12t, 6t), we can find a vector v = (a, b, c) that is orthogonal to w by taking their dot product equal to zero:

w · v = 0

Substituting the values of w and v:

(12t, -12t, 6t) · (a, b, c) = 0

(12t)(a) + (-12t)(b) + (6t)(c) = 0

12at - 12bt + 6ct = 0

Now, we can solve this equation to find the values of a, b, and c that satisfy the orthogonal condition for all values of t.

12at - 12bt + 6ct = 0

Factor out t:

t(12a - 12b + 6c) = 0

For this equation to hold true for all values of t, the expression inside the parentheses must equal zero:

12a - 12b + 6c = 0

Divide by 6:

2a - 2b + c = 0

This equation represents a plane in three-dimensional space. To find a basis for w⊥, we can express this equation in the form of a linear combination of vectors. Let's solve for c:

c = 2b - 2a

Now, we can express the basis vectors for w⊥ in terms of a and b:

v = (a, b, 2b - 2a)

We can choose any values for a and b to get different vectors in the orthogonal complement w⊥. For example, we can set a = 1 and b = 0:

v1 = (1, 0, 0)

Or we can set a = 0 and b = 1:

v2 = (0, 1, 2)

These two vectors, v1 and v2, form a basis for w⊥.

Therefore, the orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

Learn more about Orthogonal.

brainly.com/question/32196772

#SPJ11

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

Answer:

I believe it would be the first and the second

Step-by-step explanation:

Trees would be competing to get the sunlight, deer would be competing for mating reasons.

Answer:

It would be 1 and 3 because they are competing for something/ tree competes for light, lion competes for food