Evaluate the expression
бу — x when x = 6 and y = 4

Answer:

Explicit : \(a_n=3(2)^{n-1}\)

Recursive: a₁ = 1

                  \(a_n=a_{n-1}(2)\)

Step-by-step explanation:

We have to write the recursive formula for the geometric sequence with second term 2 and third term 12.

Geometric sequence will be in the form of,

a, ar, ar², ar³,...........

Here, r = common ratio

a = first term of the sequence

Here, ar = 6 ------(1)

And ar² = 12 ------(2)

By dividing equation (2) by (1),

\(\frac{ar^2}{ar}=\frac{12}{6}\)

r = 2

From equation (1),

a(2) = 6

a = 3

Recursive formula of a geometric sequence is given by,

a₁ = a

\(a_n=a_{n-1}(r)\)

Therefore, for the given sequence,

a₁ = 1

\(a_n=a_{n-1}(2)\)

Similarly, explicit formula of the geometric sequence is given by,

\(a_n=a_1(r)^{n-1}\)

\(a_n=3(2)^{n-1}\)

Answer: y=-(1)/(3)x-3

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Answer:

n=22.5

Step-by-step explanation:

2*22.5=45, 45+3=48.

The value of the equation 2ⁿ x 3 = 48 is n = 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2ⁿ x 3 = 48   be equation (1)

On simplifying the equation , we get

Divide by 3 on both sides of the equation , we get

2ⁿ = 48/3

2ⁿ = 16

when n = 4

2⁴ = 16

Therefore , the value of n = 4

Hence , the equation is n = 4

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The slope of function y = 2x-3 is positive whereas for the 2nd function y = -x/2 +7 is negative.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

In the 1st function y =2x-3

The slope is m = 2 and constant c = -3

In the 2nd function

m=-1/2 and constant c = 7

So the equation of the function, y = -x/2 +7

Hence The slope of function 1 is positive whereas for the 2nd functions is negative.

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Answer:

Se requiere 30 botes de 0.25 litros para dos galones de pintura.

Step-by-step explanation:

Sabemos que un galón equivale a 3.7354 litros, para estimar en cuantos botes de 0.25 litros se puede distribuir dos galones, empleamos la siguiente expresión:

\(n = \frac{V_{total}}{V_{bote}}\)

Donde:

\(V_{bote}\) - Volumen del bote, expresado en litros.

\(V_{total}\) - Volumen total, expresado en litros.

\(n\) - Cantidad de botes a llenar, adimensional.

Si sabemos que \(V_{bote} = 0.25\,L\) y \(V_{total} = 2\,gal\), entonces:

\(n = \frac{(2\,gal)\cdot \left(3.7354\,\frac{L}{gal} \right)}{0.25\,L}\)

\(n = 29.883\)

Puesto que la cantidad de botes es representada por un número entero,la cantidad requerida se redondea por exceso al entero más cercano. En consecuencia, se requiere 30 botes de 0.25 litros para dos galones de pintura.

Answer:

D

Step-by-step explanation:

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Answer:

No solution

Step-by-step explanation:

To isolate the variable, begin by adding 9x to each side

-6 - 9x = -9x - 4

-6 - 9x (+ 9x) = -9x (+ 9x) - 4

-6 ≠ -4

The equation in your answer has no solution. If you are supposed to find the value of x, you might want to double check for typos.

Answer:

99% sure its D

Step-by-step explanation:

Answer:

the answer is b=7

b = − 7 b − 12 = − 61 = = − 61

Step-by-step explanation:

mark me brainliest

pls and ty

Answer:

500.

Step-by-step explanation:

The last digit must end with 0, 2, 4, 6, 8   for the Pin code to be even.

The middle 2 digits may be any numbers.

So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.

So  as there are 5 possible last digits , the total  possible sets of digits

= 5 * 100

= 500.

the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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The temperature is a function of time, as there is a single temperature for each instant of time.

A relation represents a function when each input value is mapped to a single output value.

For the set in this problem, we have that:

As there are no repeated inputs, the temperature is in fact a function of time.

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The values of the variables x = 5√5, z = 20 and y = 10√5.

A triangle is a geοmetric shape with three sides and three angles. It is a pοlygοn and οne οf the simplest and mοst cοmmοn shapes in geοmetry. The three sides οf a triangle can be οf different lengths οr the same length, and the three angles can alsο vary in size. The sum οf the angles in a triangle is always 180 degrees. Triangles are used in many applicatiοns in mathematics, science, engineering, and everyday life.

Here,

To solve this problem, we can use the Pythagoras theorem, which is:

c² = a² + b²

In the smallest triangle:

x² = 5² + 10²

x² = 125

x = √125

x = 5√5

Then for medium triangle:

y² = 10² + z²

Again for Largest triangle:

(5 + z)² = (5√5)² + y²

y² = (5 + z)² - (5√5)²

Both formula have like term y², So taking it common we have:

(5 + z)² - (5√5)²  = 10² + z²

Solve for Z :

(5 + z)² - 125  = 100 + z²

+ z² + 10z - 125  = 100 + z²

z² -  z² + 10z - 125 + 25 = 100

10z  = 100 + 125 - 25

10z  = 200

z  = 200/10

z = 20

When z = 20. Then y will be

y² = 10² + z²

y² = 10² + 20²

y² = 100 + 400

y² = 500

y = √500

y = √500

y = 10√5

Thus, We have the values of the variables x = 5√5, z = 20 and y = 10√5.

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======================================================

Explanation:

Let's find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (7-(-3))/(-4-1)

m = (7+3)/(-4-1)

m = 10/(-5)

m = -2

The slope of line AB is -2

The slope of any line parallel to line AB will also have the same slope.

Parallel lines have equal slopes, but different y intercepts.

Answer:

a=4

Step-by-step explanation:

we fill in b to find a

a=2(3a-5)-10

a=6a-10-10

a=6a-20

+20  +20

a+20=6a

-a.    -a

20=5a

/5. /5

4=a

hopes this helps

Answer:

336 cm²

Step-by-step explanation:

Given a dilatation by a factor of 2 then the area factor is 2² = 4

area of figure = 4 × 84 = 336 cm²

Answer: Y-intercept: (0,5) X-intercept: (3,0)

Step-by-step explanation: Set x and y equal to 0.

Answer:

Thx for points

Step-by-step explanation:

Answer:

aukrfgauvkauvbafgvaaw

Step-by-step explanation:

The length and width of the new rectangle would be 3 inches and 4 inches, respectively.

Let's consider the original rectangle. We know that its area is 10 square inches and its perimeter is 14 inches. Let's denote the length of the original rectangle as L and the width as W.

The area of a rectangle is given by A = L * W, and the perimeter is given by P = 2 * (L + W). We have two equations based on the given information:

Equation 1: L * W = 10

Equation 2: 2 * (L + W) = 14

From Equation 2, we can simplify it to L + W = 7 and rewrite it as W = 7 - L. Substituting this value into Equation 1, we get L * (7 - L) = 10.

Expanding and rearranging the equation, we have L^2 - 7L + 10 = 0. Factoring the equation, we find (L - 5)(L - 2) = 0.

Therefore, L = 5 or L = 2. If L = 5, then W = 7 - L = 2. If L = 2, then W = 7 - L = 5.

Thus, the two possible dimensions for the new rectangle with the same perimeter are 2 inches by 5 inches or 5 inches by 2 inches.

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The answer is yes, (x + 6) is a possible length of a rectangle with area x² + x − 30.

To determine whether (x + 6) is a possible length of a rectangle with area x^² + x − 30, we can use an area model to visualize the situation.

First, we need to find the width of the rectangle.

The area of a rectangle is given by the formula A = lw,

where A is the area, l is the length, and w is the width.

We are given that the area is x² + x − 30, so we can set this equal to lw and solve for w:

x² + x − 30 = (x + 6)w

w = (x² + x − 30)/(x + 6)

The length of a rectangle must be greater than or equal to its width, so we need to check whether (x + 6) is greater than or equal to (x² + x − 30)/(x + 6). This simplifies to:

(x + 6) ≥ x² + x − 30

Expanding the left side and simplifying, we get:

x² + 12x + 36 ≥ x² + x − 30

11x ≥ -66

x ≥ -6

Since x must be a positive number (since we are dealing with lengths), we can conclude that (x + 6) is the possible length of the rectangle. Therefore, the answer is yes, (x + 6) is a possible length of a rectangle with an area x² + x − 30.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The answer is (a) (30, 50). To find the 98% confidence limits,

We can use the formula:

\(98% confidence limits = sample mean ± (Z-score for 98% confidence level) * (standard error)\)

We don't know the sample mean or the standard error, but we do know the 90% confidence limits. We can use these to estimate the standard error:

Standard error = (90% confidence limits upper bound - 90% confidence limits lower bound) / (1.645 * 2)

Standard error = (47 - 33) / (1.645 * 2) = 4.73

Now we can use this to estimate the 98% confidence limits:

98% confidence limits = sample mean ± (2.33) * (4.73)

We know that the range of the 90% confidence limits is 14 (47 - 33). The range of the 98% confidence limits will be wider than this, so we can eliminate options b), c), and e).

Now we just need to check which of the remaining options gives us a range wider than 14. We can do this by subtracting the lower limit from the upper limit:

a) (30, 50) -> range = 20
d) (38, 45) -> range = 7

Therefore, the answer is (a) (30, 50).

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Answer:

54 minutes

Step-by-step explanation:

1) There are 60 minutes in an hour. So, you can do 60-36 to find the first value. (24)

2) Add 24 minutes to 30 and get 54 minutes.

\(m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)\)

be alert m represents the MIDPOINT.

THE MIDPOINT IS (0,4)

Answer:

-1/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

\(x^6-6x^3y+9y^2\\\\=(x^3)^2-2\cdot x^3\cdot 3y+(3y)^2\\\\=(x^3-3y)^2\)

So the correct answer is

\(x^3-3y\)

Do not hesitate if you have any question

Answer:

You must graph this on a graphing site

Step-by-step explanation:

Use one from enternet and type in the equation!!

The distance between the point S and the plane is 10 / √14.

To find the equation of the plane that contains the points P(2,1,3), Q(1,1,1), and R(2,3,4), we can use the method of cross products.

Step 1: Find two vectors on the plane.

We can choose two vectors from the given points. Let's take vectors PQ and PR.

Vector PQ = Q - P = (1-2, 1-1, 1-3) = (-1, 0, -2)

Vector PR = R - P = (2-2, 3-1, 4-3) = (0, 2, 1)

Step 2: Find the cross product of the two vectors.

To find the normal vector to the plane, we take the cross product of vectors PQ and PR.

Normal vector N = PQ × PR

N = (-1, 0, -2) × (0, 2, 1)

= (-2, 1, 0)

Step 3: Write the equation of the plane in the form ax + by + cz + d = 0.

Since the normal vector to the plane is (-2, 1, 0), we have the coefficients of x, y, and z. To find d, we substitute the coordinates of one of the given points (P, Q, or R) into the equation.

Using point P(2,1,3):

-2(2) + 1(1) + 0(3) + d = 0

-4 + 1 + d = 0

-3 + d = 0

d = 3

Therefore, the equation of the plane that contains the points P, Q, and R is:

-2x + y + 3z + 3 = 0

b) To find the distance between the point S(0,1,2) and the plane, we can use the formula for the distance between a point and a plane.

The formula for the distance between a point (x0, y0, z0) and a plane ax + by + cz + d = 0 is:

Distance = |ax0 + by0 + cz0 + d| / √(a^2 + b^2 + c^2)

Plugging in the values from the given point S(0,1,2) and the equation of the plane -2x + y + 3z + 3 = 0, we have:

Distance = |-2(0) + 1(1) + 3(2) + 3| / √((-2)^2 + 1^2 + 3^2)

= |1 + 6 + 3| / √(4 + 1 + 9)

= |10| / √14

= 10 / √14

Therefore, the distance between the point S and the plane is 10 / √14.

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Answer:

4:1 ratio

Sugar: 1 cup

Butter: 3/4 cups

Eggs: 2

Baking powder: 3/8 tsp

Flour: 5/8 tsp (you need way more flour for cookies)

Salt: 1/8 tsp (original # was hard to make out but I think it was 1/2 tsp)