Find the next term in each sequence.
Question 1:
35, 29, 23, 17, ?.
Question 2:
1, 2, 5, 10, ?.
Please Include an Explanation of how to solve problems like this!
Thanks a ton!

Step-by-step explanation:

Consider the given expression,

Let,

x=

6+

6+

6+

6..........∞

Now,

x=

6+x

x

2

=6+x

x

2

−x−6=0

x

2

−3x+2x−6=0

x(x−3)+2(x−3)=0

(x−3)(x+2)=0

x=3or−2

Hence,this is the answer.

Therefore, the parametric equations for the tangent line at (0, 1, 0) are: x = t, y = 1 - 3t, z = 4t

To find the parametric equations for the tangent line to the curve, we need to first find the derivative of the given parametric equations. Taking the derivative of x, y, and z with respect to t, we get: dx/dt = 1, dy/dt = -3e^(-3t), and dz/dt = 4 - 4t^3.
Now, plugging in the specified point (0, 1, 0), we get dx/dt = 1, dy/dt = -3, and dz/dt = 4.
To find the parametric equations for the tangent line to a curve with given parametric equations at a specified point, we first find the derivatives of x, y, and z with respect to t. Then, we plug in the specified point and use the derivatives to write the parametric equations for the tangent line.

Therefore, the parametric equations for the tangent line at (0, 1, 0) are: x = t, y = 1 - 3t, z = 4t

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The equation, in slope-intercept form, of the line that represents Rocket Drive is: y = 5/4x + 7/2.

The slope value of two lines that are perpendicular to each other are negative reciprocals of each other.

The shortest road from Sun Bank to Moonbeam Drive would be perpendicular to the line of Moonbeam Drive.

Find the slope of Moonbeam Drive:

Slope = rise/run = -4/5

The negative reciprocal of -4/5 is 5/4. Therefore, the shortest road for Rocket Drive that is perpendicular to Moonbeam Drive would have a slope (m) of 5/4.

Sub Bank is at (2, 6)

Substitute m = 5/4 and (x, y) = (2, 6) into y = mx + b and find the value of b:

6 = 5/4(2) + b

6 = 5/2 + b

6 - 5/2 = b

(12 - 5)/2 = b

7/2 = b

b = 7/2

Substitute b = 7/2 and m = 5/4 into y = mx + b:

y = 5/4x + 7/2

Therefore, the equation, in slope-intercept form, of the line that represents Rocket Drive is: y = 5/4x + 7/2.

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Answer:

-6,-3,0,1,5

Step-by-step explanation:

u don't need an explanation for this, right?

The number of bicycles they need to sell to make equal money is 5. The amount they would make is $500.

In contrast to variable costs, which change depending on the volume of production or sales, fixed costs are expenses that remain constant. Rent, insurance, and salary are examples of fixed costs that are constant regardless of the volume of output or sales. Materials, labour, and shipping expenses are examples of variable costs that change according to the volume of output or sales.

Let us suppose the number of bicycle sold = x.

Then the equation for Jimmy is:

$250 + 50x

The equation for Tom is:

$400 + 20x

To make the same amount we equate the two equations as follows:

250 + 50x = 400 + 20x

30x = 150

x = 5

Substituting the value of x in equation 1 we have:

J = 250 + 50(5)

J = 250 + 250

J = 500

Hence, the number of bicycles they need to sell to make equal money is 5. The amount they would make is $500.

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Answer:

5142.27 in³

Step-by-step explanation:

Cone volume formula:

V = πr²h/3

multiply 3.14 × 17×17×17 Then divide by 3

Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

The mathematical method of handling imprecise or subjective information is fuzzy logic.What is the mathematical method of handling imprecise or subjective information?The mathematical method of handling imprecise or subjective information is fuzzy logic. It is a form of reasoning that allows for the management of approximate, subjective, or ambiguous information to be carried out using a mathematical model. It is a soft computing technique that uses artificial intelligence to model uncertainty and imprecision in data. Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

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Answer:

40%

Step-by-step explanation:

The minimum recommended temperature for the cold temperature run (\#7) is 15 degrees below room temperature.

The cold temperature run, marked as \#7, requires a specific temperature range to ensure optimal performance and safety. The minimum recommended temperature for this run is 15 degrees below room temperature.

Running at temperatures below room temperature allows for a more controlled environment that mimics colder conditions, which can be beneficial for various purposes such as testing equipment, evaluating performance, or assessing durability in colder climates. It helps identify potential issues or limitations that may arise in colder environments.

Setting the minimum recommended temperature at 15 degrees below room temperature provides a sufficient cold environment without excessively low temperatures that could pose risks or potential damage.

This temperature range strikes a balance between achieving the desired cold conditions for testing purposes while ensuring the safety and integrity of the equipment or system being evaluated.

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Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5

Answer:

can u explain more and if not i thnk it is 20:15

Step-by-step explanation:

Answer:

number of boys in the class = 20

number of girls in the class = 15

ratio of girls is to boys(Percentage) = 15/20 x 100

= 0.75 x 100 = 75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

See below for the proof of the equation \(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\)

The equation is given as:

\(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\)

Take the LCM

\(\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)\)

Expand

\(\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)\)

Evaluate the like terms

\(\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)\)

Rewrite as:

\(\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)\)

Factorize the numerator

\(\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)\)

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation \(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\) has been proved

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Answer:

2x²+12x+23

Step-by-step explanation:

Y=2(x²+6x+9)+5=2x²+12x+18+5

2x²+12x+23

Answer:

0

Step-by-step explanation:

The slope formula is (change in y)/(change in x)

since the numerator (change in y) is 0, the slope will be 0

To calculate the standard error of estimate (SE), we can use the following formula:

SE = sqrt(SSE / (n-2))

where SSE is the sum of squared errors, and n is the number of observations.

Substituting the given values, we get:

SE = sqrt(2,540 / (30-2)) = 5.49

Therefore, the standard error of estimate is 5.49 (rounded to 2 decimal places).

b. The coefficient of determination (R-squared) is given by the ratio of the explained variation (SSR) to the total variation (SST):

R² = SSR / SST

where SSR is the sum of squared regression, and SST is the total sum of squares.

Since this is a simple linear regression, we have:

SST = SSR + SSE

where SSE is the sum of squared errors.

Substituting the given values, we get:

SST = 13,870

SSE = 2,540

Therefore, we can calculate SSR as:

SSR = SST - SSE = 13,870 - 2,540 = 11,330

Substituting these values into the formula for R-squared, we get:

R²= SSR / SST = 11,330 / 13,870 = 0.8188

Therefore, the coefficient of determination (R-squared) is 0.8188 (rounded to 4 decimal places). This means that 81.88% of the variation in the dependent variable (y) can be explained by the linear regression model with the independent variable (x).

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Answer:

jingle bell Rock Moana lolil

Total number of possible codes are 180.

The probability assigned for each possible code is equal to 1/180.

The probability assigned to the code which contains number is 1/36.

To determine the number of possible codes,

Consider the choices for each component of the code.

For the first digit, we have 5 options ={2, 7, 8, 5, 6}.

For the first letter, we have 6 options = {L, D, E, G, C, I}.

For the second letter, we also have 6 options = {L, D, E, G, C, I}.

Since the two letters can be the same or different, consider the possibilities separately.

If the two letters are the same, there are 6 options (LL, DD, EE, GG, CC, II).

If the two letters are different, there are 6 options for the first letter and 5 options for the second letter (excluding the first letter chosen).

Therefore, the total number of possible codes is,

(5 options for the first digit) × [(6 options for the same letters) + (6 options for different letters)]

= 5 × (6 + 6×5)

= 5 × 36

= 180.

So, there are 180 possible codes.

To assign probabilities to each code, we need to assume that each code is equally likely to occur.

Since there are 180 possible codes, and each code is equally likely, the probability assigned to each code would be 1/180.

The event that the code contains the number refers to codes where the first digit is a number.

Among the 180 possible codes, there are 5 codes (starting with 2, 7, 8, 5, and 6) that have a number as the first digit.

Therefore, the probability assigned to the event that the code contains the number is,

Number of codes with a number as the first digit / Total number of possible codes

= 5 / 180

= 1/36.

Therefore, total possible codes are 180, the probability for each code is 1/180, and the probability for code contains number is 1/36.

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Answer:

627% 6.285 6. 28 21 6 3

Step-by-step explanation:

Um.. I did it from greatest to least but here it is!

Answer:

138.02

Step-by-step explanation:

Answer:

3 because that is where it meets the y axis

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

The y-intercept of a graph is basically, where the equation intercepts the y axis.

Answer:

Step-by-step explanation:

Find the discounted price by setting up an equation

40-.3(40) AKA 30% of the original price is being taken off of the original price

Evaluate

40-12

$28 = discounted price

Sales tax is based on the reduced/discounted price* remember this

OF= multiplication (in this scenario)

.08x28

$2.24= sales tax

Add tax with discounted price

28+2.24=

% represents a fraction with a denominator 100

0.0032 is a decimal

Therefore

Answer: Picture Below

Step-by-step explanation:

Took the test

Answer:

It would cost $375

Step-by-step explanation:

$75+$50=$125

$125x3=$375

There is no graph so I couldn't fill in one.

Could I please have BRAINLIEST.

Answer:

1.  3³

2.  (-5)⁴

3.  3¹⁰

4.  4⁰

Step-by-step explanation:

When multiplying exponents with the same base, you add the exponents.  When dividing exponents with the same base, you subtract the exponents.  When raising a number with an exponent to another power, multiply the exponents.

1.  \(\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3\)

2.  \(\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4\)

3.  \((3^2)^5=3^{10}\)

4.  \(\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0\)

Answer:

Step-by-step explanation:

We are to show that 1/1-sin theta + 1/1+cos theta = 2×sec square theta ​

Starting from the left hand side of the expression:

1/1-sin theta + 1/1+cos theta

Find the LCM

\(\frac{1}{(1 -sin \theta) (1+cos \theta)} \\\\= \frac{1+cos \theta + 1 -sin \theta ]}{(1 -sin \theta) (1+cos \theta)} \\ = \frac{2+cos \theta - sin \theta}{1+cos \theta - sin \theta - sin \theta cos \theta}\)