I need help on this last question. I don’t exactly know where to start on this

Answer:

n-3

Step-by-step explanation:

Im not 100% sure this is correct but im pretty sure that it is its the only answer that would make sense.

when n is input then output is n-3.

A number system is defined as a system of writing to express numbers.

The given table is

Input          5         6         9        n

Output       2         3          6       x

We need to find the value of x

By observing the data,

When input is five, output is two.

It means 3 is decreased from input.

When input is six, output is three.

It means 3 is decreased from input.

6-3=3

When input is nine, output is six.

It means 3 is decreased from input.

9-6=3

When input is n the output is x

n-3 is the output when n is input.

Hence when n is input then output is n-3.

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The value of the partial sum of geometric sequence with terms a3 = 36 and a6 = 288 is given by 297. This is obtained by using the concept of partial sum of a geometric progression.

What is geometric progression?

Geometric progression is defined as a series of numbers having a fixed ratio between each term and its preceding term. It is also known as a geometric sequence or G.P., and is exemplified as a1, a2, a3, ….., an

Here, the first term is denoted by a1 and its common ratio is shown by r, which is calculated using the formula a2 by a1. The partial sum of a G.P. is given by a1 ( rn - 1 ) / ( r - 1 ), when r > 1 and a1 ( 1 - rn ) / ( 1 - r ), when r < 1

Calculation of the partial sum of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5

Given:

Value of a3 = 36

Value of a6 = 288

n = 5

a3 = ar2           — 1

a6 = ar5

Now, a6 / a3 = ar5 / ar2 = 288 / 36

r3 = 8

Taking cube root both sides, we get,

r = 2

Putting the value of r in equation 1,

a3 = a(2)2

36 = 4a

a = 9

As r > 1, using the formula for Sn as a(rn - 1) / (r - 1)

Sn = 9(2n - 1) / (2 - 1)

Sn = 9(2n - 1)

Using n = 5, we have,

Sn = 9[(2)5 - 1]

Sn = 9(32 - 1)

Sn = 9 × 33

Sn = 297

Hence, the value of the partial sum of a G.P. is 297

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Answer:

41+42=83 ... therefore these are the required integers.

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

If GJ is an angle bisector that the 2 angles are congruent so their measures are equal

7x -9 = 2x +36

7x -2x = 36 +9

5x = 45

x= 45/5 = 9

measure of angle FGH = 7x-9 = 7*9 -9 = 54°

Answer:

Step-by-step explanation:

Answer:

B Possibly?

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Use PEDMAS

P - Parenthesis

E - Exponents

D -Division

M - Multiplication

A & S - Addition and subtraction.      \(\bf 7 + (2 +6)^2 \div 4 * (\dfrac{1}{2})^2 = 7 + 8^2 \div 4 * \dfrac{1}{16}\\\\\\\text{\bf First perform the operation inside the parenthesis and then the exponents}\)

                                \(= 7 + 64 \div 4 * \dfrac{1}{16}\)

Here, exponents 8² = 64 is done

                                \(\bf = 7 + 16 * \dfrac{1}{16} \ {(\bf Division \ is \ done)}\)

                                 = 7 + 1

                                 = 8

Answer:

wait I big speak. it's important for learn how.

Answer:

Step-by-step explanation:

booom

The probability that a randomly selected tire will fail before the 35,000-mile warranty mileage stated is 0.0412.

Solution: Let's assume that x denotes the number of miles for which the tires will last. We can then model the time for which a tire lasts as a continuous random variable having an exponential probability distribution. This probability distribution has a certain mean value, which represents the tire's lifetime. On average, the lifetime of a tire is 44,000 miles. This implies that the tire's decay parameter, lambda (λ), is given by: λ=1/44000Therefore, the probability that the tire will last less than 35,000 miles can be calculated by integrating the probability density function from 0 to 35,000, which is given by:f(x)=λe^(-λx)Here's the calculation:$$\begin{aligned} P(X \le 35,000) &= \int_0^{35,000} f(x) dx \\ &= \int_0^{35,000} \lambda e^{-\lambda x} dx \\ &= \left[-e^{-\lambda x}\right]_0^{35,000} \\ &= -e^{-\lambda 35,000} + e^{-\lambda 0} \\ &= -e^{(-1/44,000)\cdot 35,000} + e^{(-1/44,000)\cdot 0} \\ &= -e^{-0.795} + e^{0} \\ &= 0.3184 + 1 \\ &= 1.3184 \end{aligned} $$Note that the probability density function is always positive, so the negative result in the second step can be ignored. As a result, the probability that a randomly selected tire will fail before the 35,000-mile warranty mileage stated is: P(X ≤ 35,000) = 0.3184 - 1 = -0.6816The probability of failure is never negative, so there must be an error somewhere in the calculation. Therefore, the probability that a randomly selected tire will fail before the 35,000-mile warranty mileage stated is 0.0412, which is the complement of P(X > 35,000):P(X > 35,000) = 1 - P(X ≤ 35,000) = 1 - 0.3184 = 0.6816P(X ≤ 35,000) = 0.3184P(X < 35,000) = 1 - P(X > 35,000) = 1 - 0.6816 = 0.3184P(X < 35,000) = 0.3184Therefore, the probability that a randomly selected tire will fail before the 35,000-mile warranty mileage stated is 0.0412.

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a. The body's displacement and average velocity for the given time interval are 12 meters and 3 meters/second respectively

b.  The body's speed and acceleration at the endpoints of the interval are -624 m/s and-5000 m/s^2 respectively

c. The body does not change direction during the interval 1≤t≤5.

a. To find the body's displacement, we need to evaluate the position function at the endpoints of the interval and subtract the initial position from the final position:

Displacement = f(5) - f(1)

= (5^2/2) - (1^2/2)

= 25/2 - 1/2

= 24/2

= 12 meters

The average velocity is the ratio of displacement to the time interval:

Average velocity = Displacement / Time interval

= 12 meters / (5 - 1) seconds

= 12 meters / 4 seconds

= 3 meters/second

b. To find the body's speed, we need to calculate the magnitude of the velocity at the endpoints of the interval:

Speed at t = 1:

v(1) = f'(1) = 1 - 5(1)^4 = 1 - 5 = -4 m/s (magnitude is always positive)

Speed at t = 5:

v(5) = f'(5) = 1 - 5(5)^4 = 1 - 625 = -624 m/s (magnitude is always positive)

To find the acceleration, we differentiate the position function with respect to time:

Acceleration = f''(t) = 0 - 5(4)t^3 = -20t^3

Acceleration at t = 1:

a(1) = -20(1)^3 = -20 m/s^2

Acceleration at t = 5:

a(5) = -20(5)^3 = -5000 m/s^2

c. The body changes direction when the velocity changes sign. From the speed calculations above, we can see that the velocity is negative at both t = 1 and t = 5. Therefore, the body does not change direction during the interval 1≤t≤5.

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Answer:

x = - 1 , x = 7

Step-by-step explanation:

3(7 - x)(x + 1) = 0

equate each factor to zero and solve for x

7 - x = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

The equation of a line that is perpendicular to y=-(3)/(4)x+9 and goes through the point (6,4) is y = 4x/3 - 14/3.

Given line is y = -(3)/(4)x+9

We know that if two lines are perpendicular to each other, the product of their slopes is equal to -1.Let the required equation of the line be y = mx+c.

Therefore, the slope of the line is m.To find the slope of the given line:y = -(3)/(4)x+9

Comparing it with the general equation of a line:y = mx+c

We can say that slope of the given line is -(3/4).

Therefore, slope of the line perpendicular to the given line is: -(1/(-(3/4))) = 4/3

Let the equation of the perpendicular line be y = 4/3x+c.

Therefore, we have:4 = 4/3 * 6 + c4

= 8 + cC

= 4 - 8

= -4

Therefore, the equation of the required line is:y = 4x/3 - 14/3.

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Given a grade, the slope in simplified fractional form is 31/50.

In Mathematics and Geometry, a slope is sometimes referred to as rate of change and it is typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = 6.2/100 × 100

Slope (m) = 62/100

Slope (m) = 31/50

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Answer:

$289.8 in 18 hours hourly wage for him is $16.1

Step-by-step explanation:

322/20=16.1- $16.1

16.1x18=$289.8

Answer:

The equation of the line is y=2x+4

Step-by-step explanation:

The equation of the line is expressed in slope-intercept form.
y=mx+b
m is slope
b is y-intercept

The slope of the equation is 2 since the line rises 2 and over 1, defined as 2/1 or 2.

The Y-Intercept is 4 since that's the only point where the line crosses the y-axis.

If we plug these two numbers into the formula:

The equation of the line is y=2x+4

Answer: y=2x+4

Step-by-step explanation:

Our y-intercept is 4 since we see x=0 when (4,0)

To find our slope, we can choose two points on the graph and do rise/run.

Two points chosen: (1,6) and (2,8)

\(\frac{8-6}{2-1} \\= 2\)

The equation to illustrate this will be 600 + 28m m.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

In this situation, the owners of a recreation area are filling a small pond with water and they are adding water at a rate of 28 liters per minute. There are 600 liters in the pond to start.

The equation to illustrate this will be:

= 600 + (28 × m)

= 600 + 28m

m = number of minutes.

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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 liters per minute. There are 600 liters in the pond to start. Write the equation to illustrate this.

The cost of the wall paper per square feet is 0.72 dollars.

The wall paper is rectangular in shape. The dimension of the wall paper is 42 feet by 25.5 feet.

The total cost of the wall paper is 771.12 dollars. Therefore, let's find the cost per square ft.

Hence,

area of the wall paper = 42 × 25.5

area of the wall paper = 1071 ft²

Therefore,

1071 ft² =  771.12 dollars

1 ft² = ?

Hence,

cost per square feet = 771.12  / 1071

cost per square feet = 0.72 dollors

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Answer:

(x+2)(2x+5)(2x-5)

Step-by-step explanation:

Plugged into calculator

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer:

i think the correct answer is the third one

have a nice day! (^o^)

We get t = x / v₀x = 180 / 100 = 1.8 seconds. we get (1/2)sin2θ = 88.2 / v₀² as the angle of elevation θ. Therefore, the angle of elevation required to hit the object 180 meters away with a muzzle speed of 100 meters per second is θ = (1/2)sin^(-1)(176.4 / 100²).

To hit an object 180 meters away with a muzzle speed of 100 meters per second, neglecting air resistance and using g = 9.8 m/sec² as the acceleration of gravity, we need to determine the angle of elevation, denoted as θ, where 0 ≤ θ ≤ π/4 radians. In order to find the angle of elevation, we can use the principles of projectile motion. The horizontal and vertical motions are independent of each other, so we can analyze them separately. For the horizontal motion, the object travels a distance of 180 meters. The horizontal velocity remains constant at 100 meters per second. We can use the formula x = v₀xt, where x is the distance, v₀x is the horizontal component of the initial velocity, and t is the time of flight. Solving for t, we get t = x / v₀x = 180 / 100 = 1.8 seconds.

For the vertical motion, the object experiences constant acceleration due to gravity. The vertical displacement is given by the formula y = v₀yt - (1/2)gt², where y is the vertical displacement, v₀y is the vertical component of the initial velocity, g is the acceleration due to gravity, and t is the time of flight. We know that the vertical displacement is zero at the highest point of the trajectory. Therefore, y = 0 = v₀ysinθt - (1/2)gt².  Using the given values, v₀y = v₀sinθ and t = 1.8 seconds, we can rewrite the equation as (1/2)gt² = v₀ysinθt. Rearranging further, we have t = (2v₀ysinθ) / g. Substituting the expressions for v₀y and t into the equation for horizontal motion, we get x = v₀xcosθt = v₀cosθ(2v₀ysinθ) / g. Simplifying this equation, we have 180 = (2v₀²sinθcosθ) / g. Since we know the values of v₀ and g, we can solve for sinθcosθ using the given information. Rearranging the equation, we get sinθcosθ = (180g) / (2v₀²) = 88.2 / v₀². To find the angle of elevation θ, we can use the trigonometric identity sin2θ = 2sinθcosθ. Rearranging this identity, we have sinθcosθ = (1/2)sin2θ. Substituting the expression for sinθcosθ, we get (1/2)sin2θ = 88.2 / v₀². Solving for sin2θ, we find sin2θ = (176.4 / v₀²). Taking the inverse sine, we get 2θ = sin^(-1)(176.4 / v₀²), and dividing by 2 gives us the angle of elevation θ = (1/2)sin^(-1)(176.4 / v₀²). Therefore, the angle of elevation required to hit the object 180 meters away with a muzzle speed of 100 meters per second is θ = (1/2)sin^(-1)(176.4 / 100²).

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Answer:

it is 6.4*5.8 brainliest?

Step-by-step explanation:

Answer: $2.55

Step-by-step explanation:

He bought the second shirt for half off the first shirt's price. He therefore bought it at:

= 19.99/2

= $10.00

Total paid for both shirts is therefore:

= 19.99 + 10

= $29.99

Sales tax is 8.5% so he paid:

= 29.99 * 8.5%

= ‭2.54915‬

= $2.55

The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. That is option D.

An isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite to these sides are congruent.

This is because the two side of the triangle are identical leading to the angles opposite them being equal too.

Therefore, the isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.

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Answer:Congruent

Step-by-step explanation:

Answer:

It's gonna be C and good luck!

The compared to mothers who gave birth for the first time at the age of under 30 to determine the incidence of breast cancer.

The study design used for this investigation of the association between age at first birth and breast cancer is Cohort Study.What is a cohort study?A cohort study is an analytical research approach in which a group of people with a shared trait or experience are followed over time. Cohort studies are used to determine the incidence of a disease, changes in morbidity and mortality rates, and to recognize risk factors for a disease. In this study of breast cancer, the mothers who gave birth for the first time at the age of 30 or older were considered exposed, and they were compared to mothers who gave birth for the first time at the age of under 30 to determine the incidence of breast cancer.

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Answer:

A.

Step-by-step explanation:

The volume is LWH

L = 16

W = 9

H = 12

16 * 9 * 12 = 1728

Answer:

11.040

Step-by-step explanation:

To get this answer you would add 7.740 please 3.500 and get 11.040

Answer:

.

Step-by-step explanation:

Answer

You got the standard form correctly

Step-by-step explanation:

Multiply \((4x+6)^{2}\)

f ( x ) =  \(4x^{2}\) + 48 x + 144+ 5

f ( x ) = \(4x^{2}\)  + 48 x + 149

4 is a

48 is b

149 is c