When writing a recursive formula, whose initial term is 14 and whose
common difference is -4. Which one represents that theory

Therefore, the value of k in the relative frequency table is 5% when rounded to the nearest percent.

To find the value of k in the relative frequency table, we can use the information provided in the table. The total for each column represents 100%.

Looking at the third column labeled V, the entries are 42%, k, 53%. Since the total for this column is 100%, we can deduce that:

42% + k + 53% = 100%

Combining like terms:

95% + k = 100%

To isolate k, we subtract 95% from both sides:

k = 100% - 95%

k = 5%

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Option B, "Multiply the squared value by 2," is the correct choice. When evaluating the expression 9 - 182 x 2 + 12 + 4, we first need to perform any calculations inside parentheses, but there are none.

Next, we need to evaluate any exponents or square roots, but there are none in this expression.

The next step is to perform multiplication and division, working from left to right. In this case, we have 182 x 2, which should be evaluated first.

Therefore, the step that should be completed immediately following the evaluation of the squared number is to multiply it by 2. Option B, "Multiply the squared value by 2," is the correct choice.

After that, we should continue by subtracting the result of the multiplication from 9, then adding 12 and 4, and finally adding 2 to the sum.

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Answer:

4 and 1/8

Step-by-step explanation:

1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.

Answer:

The answer is not -1/2

Step-by-step explanation:

I got the answer from the person above and the answer is not -1/2 so do not believe them.

Answer:

y = 2x – 10

Step-by-step explanation:

ΔY divided by ΔX

= 5-7/0-4

= 2/1 = 2 (simplified)

plug in 2 into; 0=2(5)+b

= -10=b

so we have: y=2x-10

2sec²x/(2-sec²x) is the equivalent equation of 2sec(2x).

The equation that has one or more trigonometric ratio with known and unknown angles. From the equation we can determine the unknown value.

Two trigonometric equations are called equivalent equation to each other when both have same values of variables.

2sec(2x) = 2/cos2x= 2/(cos²x-sin²x)

2/{cos²x-(1-cos²x)= 2/{2cos²x-1}

2/{2/sec²x-1}= 2sec²x/(2-sec²x)

hence, the above is the equivalent equation.

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The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.

Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.

To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:

f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...

where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.

To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.

To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:

f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }

where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).

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93 is more than 47 by 46

Subtraction is an arithmetic operation that represents the operation of removing a number from another number. Subtraction is represented by the minus sign,

Other arithemetic operations are addition, multiplication and division.

The mathemetical properties that it follows is Identity Property.

Commutative Property and Associative Property.

Let the number by how much 47 is less than 93 be x,

then

47 + x = 93

x = 93 - 47

x = 46

Therefore, By subtracting it is found that 93 is greater than 47 by 46

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Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

Answer:

What you found were the x-intercepts of the quadratic function. Here's how you would write it- (2,0), (-9,0).

I think finding the zeroes of a function is equal to finding the x-intercepts, so I believe the two terms can be used interchangeably.

Hope I helped, have a nice day, also please correct me if I did anything wrong

Answer:

-9, 2

Step-by-step explanation:

f(x) = x^2 +7x -18

Set the function equal to zero

0 = x^2 +7x -18

Factor.  What two numbers multiply to -18 and add to 7

9*-2 = -18

9+-2 = -7

0 = (x=9) (x-2)

Using the zero product property

x+9=0    x-2 =0

x=-9   x=2

You can also write in coordinate pairs

(-9,0) and (2,0)

Answer:

The solution of this system is (10,14) and it means that there are 10 three point questions and 14 five point questions.

Step-by-step explanation:

In order to find the number of questions of each kind we need to solve the given system as shown below:

\(\left \{ {{x+y=24} \atop {3x + 5y=100}} \right.\)

If we multiply the first equation by -3 and sum it with the second equation we can isolate the "y" variable and solve for its value:

\(\left \{ {{-3x -3y=-72} \atop {3x + 5y=100}} \right.\\ \\-3y + 5y = -72 + 100\\2y = 28\\y = 14\)

We can use this value to find "x":

\(x + y = 24\\x + 14 = 24\\x = 24 - 14\\x = 10\)

The solution of this system is (10,14) and it means that there are 10 three point questions and 14 five point questions.

Answer:C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Endpoints of the segment are (-4, -3) and (3, 5).

Rule for the reflection of the points across a line \(y=x\) is,

(x, y) → (y, x)

By following this rule of reflection,

New endpoints will be,

(-4, -3) → (-3, -4)

(3, 5) → (5, 3)

Therefore, new endpoints of the reflected segment are (-3, -4) and (5, 3).

Answer:

18

Step-by-step explanation:

List them in order from smallest number to largest number.

10,15,18,18,20

Take one off each side

15,18,18

Take one more off each side

18

Hope this helps

Brainliest would be appreciated

Answer:

10 : 4, 15 : 6, 20 : 8, 25 : 10, 30 : 12, 35 : 14, 40 : 16, 45 : 18, 50 : 20, 55 : 22 60 : 24 65 : 26 70 : 28 75 : 30 there are many many more

Step-by-step explanation:

The total area of the painting and frame is 248 inches squared.

Area is the size of a two-dimensional surface, typically defined by its length and width. It is an important concept in mathematics and is used to measure different shapes and figures. Area is also commonly used to measure the size of land, such as a city block or a region of a country. Areas can be measured in square meters, square kilometers, hectares, square feet, and many other units. Knowing the area of a shape or space can be helpful when planning a project or understanding how much space something requires.

Using the given equation, \(f(x) = x2 + 14x + 40\), we can solve for the area of the painting and frame.

\(f(x) = x2 + 14x + 40\)

\(f(x) = (x + 6)2 + 2(x + 6)(2) + 2(2)(2)\)

\(f(x) = x2 + 12x + 36 + 4x + 24 + 16\)

\(f(x) = x2 + 16x + 56\)

We are told that the longer side of the frame is 14 inches long, so x = 8.

\(f(8) = 8^2 + 16(8) + 56\)

\(f(8) = 64 + 128 + 56\)

\(f(8) = 248 \ \text{in}^2\)

Therefore, the total area of the painting and frame is 248 inches squared.

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The expression that means "the total cost, including shipping, of 5 necklaces" is 5x + 5

The expression that means "the total cost, including shipping, of 5 necklaces" depends on the cost of a single necklace and the shipping cost.

Let's assume that the cost of a single necklace is x and the given shipping cost is $5 per necklace.

Then, the expression for the total cost, including shipping, of 5 necklaces would be:

5x + 5

The first part, 5x, represents the cost of 5 necklaces, and the second part, 5, represents the shipping cost for all 5 necklaces.

Therefore, the total cost including shipping is 5x + 5

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Thus, the correct translation of the given statement is "JD if and only if ~(SA or SA)" where "~" represents negation or the logical operator "not".

The given statement is a complex logical proposition. It can be interpreted as follows:

JetBlue will buy planes if and only if Frontier improves its service or United lowers its fares, or both.

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The answer is x = 3 1/2. To solve, you must multiply both sides of the equation by the denominator of the fraction on the left side, which is 3. This will cancel out the fraction and you will be left with 4 1/3 - x = -3, which can then be solved by adding x to both sides.

4 1/4 - 1/3x

= (12/3) - (1/3)x

= 4 1/3 - x

= 4 1/3 - x -3

= x - 3

= x + 3

= 3 1/2

To solve the equation 4 1/4 − 1/3x = −3/4, you must first multiply both sides of the equation by the denominator of the fraction on the left side, which is 3. This will cancel out the fraction and you will be left with 4 1/3 - x = -3. Then you can add x to both sides of the equation to get 4 1/3 = x - 3. Then you can add 3 to both sides of the equation to get x = 3 1/2. So the answer is x = 3 1/2. This process is necessary because fractions need to be canceled out before you can solve the equation. If you do not cancel out the fractions first, then you will not be able to solve the equation correctly. It is important to remember that when you are solving equations with fractions, you must cancel out the fractions before you solve the equation.

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The critical value, tc, for a confidence level of c0.90 and sample size n=16 can be found using a t-distribution table. The degrees of freedom for this calculation is n-1, which in this case is 15. From the table, we find that the tc value is approximately 1.753. This means that if we take a sample of size 16 from a population and calculate a sample mean, we can be 90% confident that the true population mean falls within a range of ± tc multiplied by the standard error of the sample mean. The critical value tc is an important factor in calculating confidence intervals for sample means.

To find the critical value, we need to use a t-distribution table, which provides the t-scores for various levels of confidence and degrees of freedom. The degrees of freedom for this calculation is n-1, which is 16-1=15. We look for the row in the table that corresponds to 15 degrees of freedom and then find the column that corresponds to a confidence level of 0.90. The value at the intersection of this row and column is the critical value, which in this case is approximately 1.753.

The critical value tc for a confidence level of c0.90 and sample size n=16 is approximately 1.753. This value is important in calculating confidence intervals for sample means, which allows us to estimate the range within which the true population mean is likely to fall with a certain level of confidence.

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Answer:A.60

Step-by-step explanation:

Answer:

b.134

Step-by-step explanation:

1609 meters in every mile

30x60=1800 meters in one minute

1800x60=108,000 meters every hour

108,000x2=216,000 divide that by 1609 .216,000 divided by 1609=134.2449

The marginal density functions of the joint probability density functions, X and Y (a) \(f(x) = \frac{2x-1}{6}, f(y) = \frac{2}{9} (6-y)\)

                                   (b) P(X>2, Y>1.5 ) = 0.3194

                                   (c) X and Y are not independent

The given function is :

\(f(x) =\frac{3x-y}{9} , 1 < x < 3 , 1 < y < 2 and 0 , eleswhere\)

(a) Marginal Density Functions of X and Y are

\(f_{x}(x) =\int\limits^2_1{f(x,y)} \, dy =\int\limits^2_1{\frac{3x-y}{9} } \, dy =\frac{1}{9} [2xy -\frac{y^{2} }{2} ]^{2} _{1} = \frac{1}{9}(3x-\frac{3}{2}=\frac{2x-1}{6} , 1 < x < 3\\ f(x) = \frac{2x-1}{6}, 1 < x < 3\)

\(f_{y}(y) = \int\limits^3_1{f(x,y)} \, dx = \int\limits^3_1{\frac{3x-y}{9} } \, dx =\frac{2}{9}(6-y)\\ f_{y}(y) = \frac{2}{9}(6-y) , 1 < y < 2\)

(b) P(X>2, Y>1.5)

 \(=\int\limits^2_\frac{3}{2} \int\limits^3_2 {f(x,y)} \, dxdy \\ =\int\limits^2_\frac{3}{2} {[\int\limits^3_2 {\frac{3x-y}{9} } \, dx }] \, dy \\=0.3194\)

(c) To check whether X and Y are independent, we have:

\(f_{x}(x) =\frac{2x-1}{6} ,f_{y} (y) =\frac{2(6-y)}{9} \\ X,Y are independent if \\f_{xy} =f_{x}*f_{y} = \frac{2x-1}{6}*\frac{2(6-y)}{9} \\=\frac{1}{27}(12x+y-2xy-6)\\ \neq f(x,y)\)

Therefore, X and Y are not independent.

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Answer 3. -7.5 is located to the left of 6.5 on a number line oriented from left to right.

Answer:

1. $8.30

Step-by-step explanation:

so 3 hats were purchased and each cost 15.50 so

15.50*3=46.50

and the rest of the 96.30 is 6 keychains so

96.30-46.50=49.80

and there is 6 keychains

49.80/6=8.30

Each key chain was $8.30

Claire's answer is unreasonable because when we got the price of the keychains all together in Claire's mind the total for the keychains would be $4.98, which we clearly got the total for the keychains at $49.80.

The cost of each keychain is  $5.79 which parks bought.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Parks spent $96.30 on 3 hats and 6 key chains and the cost of each hat is $15.50 and assuming the cost of each key chain to be 'x'.

Therefore, The expression that represents this context is,

3×15.50 + 6x = 96.30.

6x = 96.30 - 46.50.

6x =  49.8.

x = 49/8.6.

x = 5.79.

So, The cost of each key chain is $5.79.

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Answer:

D.1

Step-by-step explanation:

you cannot measure distance in negatives and it talks about how many units it was moved by.

C

Reason: You have 2,2, and 3,3 now there is no 2 that can go with or that is higher and it can not be negative because it is not at the bottom its on top which is positive.

Answer: x = 7

Step-by-step explanation: Since I don't know the full question, I only knwo the only to 5(x-3)=2x+6. How you solve it is to isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=7

Step-by-step explanation:

distribute 5 to the x and -3

5x-15=2x+6

then you try to get x by itself

I subtracted 2x from 5x and then I got

3x-15=6

then get x by itself still, I added 15 to both sides and I got

3x=21 Then divide and you get

x=7

Hope this helps

Two expressions that are equivalent to 7(t + 5) are: 7t + 35 and 7t + (5 * 7)

what is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

When we have an expression of the form a(b + c), we can simplify it using the distributive property of multiplication over addition. This property allows us to distribute the multiplication of a across the terms of the sum (b + c), and then add the resulting products.

In the case of 7(t + 5), we can use the distributive property to distribute the multiplication of 7 across t and 5, resulting in the expression 7t + 7(5). We can then simplify 7(5) to 35, giving us the equivalent expression 7t + 35.

Alternatively, we can simplify 7(t + 5) by first multiplying 7 and 5 to get 35, and then adding it to 7t, resulting in the expression 7t + 35.

Therefore, two expressions that are equivalent to 7(t + 5) are:

7t + 35

7t + (5 * 7)

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Answer:

t = 5

Step-by-step explanation:

20t + 5 + 15t = 180

35t + 5 = 180

35t = 175

t = 5

Hopefully this helps!

Brainliest please?

they added the tax witch is 20% more than what the price tag says

Answer:

86

Step-by-step explanation: