Write a recursive sequence that represents the sequence defined by the following explicit formula: an = 2(-2x^2)^n

Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

Answer:

Yes it its!!! It goes on for a long time!! Keep that in mind when you are doing problems like this!  

:)

Step-by-step explanation:

Answer:

300.20

Step-by-step explanation:

because it was a nice guesss

y=1/2x

Hope it helps.

Do comment if you have any query.

Answer:

y=1/2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

When it's clear, the easiest way to do the problem is to used the x and y  intercepts.

This question is one of the clear one.

The x intercept is 2,0

The y intercept is 0,1

You want the slope.

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

y2 = 1

y1 = 0

x2 = 0

x1 = 2

m = (1 - 0)/(0 - 2)

m = 1 / -2

m = -1/2

In this case the slope and gradient have the same value --   - 1/2 or - 0.5

Answer:

.77

Step-by-step explanation:

the 7 is repeating so you can put a dash above the second 7

The value of probability that a point chosen randomly inside the rectangle is in each given shape are,

a) P = 16.67%

b) P = 10.42%

We have to given that;

A rectangle is shown in image in which triangle and square are shown.

Now, The area of triangle is,

A = 1/2 x 5 x 4

A = 10 unit²

And, Area of Square is,

A = 4 x 4

A = 16 unit²

Area of rectangle is,

A = 12 x 8

A = 96 units²

Hence, The value of probability that a point chosen randomly inside the rectangle is in square is,

⇒ P = area of square / area of rectangle

⇒ P = 16 / 96

⇒ P = 1/6 × 100%

⇒ P = 16.67%

And, The value of probability that a point chosen randomly inside the rectangle is in square is,

⇒ P = area of triangle / area of rectangle

⇒ P = 10 / 96

⇒ P = 10/96 × 100%

⇒ P = 10.42%

Thus, The value of probability that a point chosen randomly inside the rectangle is in each given shape are,

a) P = 16.67%

b) P = 10.42%

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Answer:

135 degrees.

Step-by-step explanation:

Tan theta =   √/2 /2  /  -√/2 /2 = -1

Arctan 1 = 45 degrees.

As the x coordinate is negative and the y coordinate is positive:

Theta will be in the 2nd quadrant.

So its  180 - 45

= 135 degrees.

Answer:hola gamer

Step-by-step explanation:

The length of z in the triangle is 97 inches.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the side z of the triangle XYZ using sine law as follows:

a / sin A = b / sin B = c / sin C

Hence,

500 / sin 117 = z / sin 10

cross multiply

500 sin 10 = z sin 117

divide both sides by sin 117

z = 500 sin 10  / sin 117

z = 86.8240888335 / 0.89100652418

z = 97.4410774411

Therefore,

z = 97 inches

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Answer:

C= 25.12 cm

Step-by-step explanation:

The best decision to purchase a old car is cheaper compare to new car as per the total cost for each scenario over three years.

Compare the total costs of keeping his old car versus buying a new car, Manny needs to consider all the costs involved.

These include the cost of gas, the cost of maintenance and repairs, and the cost of purchasing the new car.

First, calculate the total cost of keeping his old car for three years.

Gas Cost,

Manny drives 190 miles per week,

which is approximately 9,880 miles per year 190 miles x 52 weeks.

With his old car's fuel efficiency of 18 miles per gallon,

He will use approximately 549 gallons of gas per year 9,880 miles ÷ 18 mpg.

At the current gas price of $ 2.9 per gallon, his annual gas cost will be $ 1,593 (549 gallons x $ 2.9 per gallon).

Over three years, his total gas cost will be $ 4,779.

Maintenance and Repairs Cost,

Manny's old car needs an average of $ 770 per year in maintenance and repairs.

Over three years, his total maintenance and repairs cost will be $ 2,310.

Total Cost of Keeping His Old Car,

Adding the gas cost and the maintenance and repairs cost,

Manny's total cost of keeping his old car for three years will be $ 7,089.

Now let's calculate the total cost of buying the new car.

Cost of Purchasing the New Car,

The new car costs $ 6,500, which he will pay over three years.

This works out to a monthly payment of approximately $ 181.94.

Gas Cost,

With the new car's fuel efficiency of 32 miles per gallon,

Manny will use approximately 309 gallons of gas per year (9,880 miles ÷ 32 mpg).

At the current gas price of $ 2.9 per gallon,

His annual gas cost will be $ 897.10 (309 gallons x $ 2.9 per gallon).

Over three years, his total gas cost will be $ 2,691.30.

Maintenance and Repairs Cost,

The new car will only require an average of $ 10 per month for general maintenance.

Over three years, his total maintenance and repairs cost will be $ 360.

Total Cost of Buying the New Car,

Adding the cost of purchasing the new car, the gas cost, and the maintenance and repair cost

= 6500 + 2691.30 + 360

=$9551.30

$9551.3 > $7089

Total cost of new car > Total cost of old car.

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Answer:

i think the answer would be 156° .

hope it helps you ^.^

Since the inflation was exactly increased to the same percentage as the salary increase of Jordan, the increase in his purchasing power is zero.

Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation reflects a reduction in the purchasing power of money.

If the pay raise is not above the percentage of the inflation then there would be no net increase in the purchasing power.

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Answer:

Step-by-step explanation:

Y = (-116)(51)(-2)

Y = (-116) × (51) × (-2)

Sines and cosines are trigonometric identities

The corresponding match of the sine or cosine values are:

Given that:

\(\sin(a) = \cos(b)\)

Then:

\(a + b = 90\)

This means that, angles a and b are opposite values

For cos(57),

The sine value is: sin(33)

This is so because:

57 + 33 = 90

When the above formula is applied to the remaining functions, we have:

sin(43) = cos(47)

cos(43) = sin(47)

sin(32) = cos(58)

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Answer:

Cos(57) = Sin(33)

Cos(74) = Sin(16)

Cos(43) = Sin(47)

Sin(32) = Cos(58)

Step-by-step explanation:

9514 1404 393

Answer:

  x = 22°

Step-by-step explanation:

The interior angles in a triangle total 180°.

  x + a + 90° = 180°

When we subtract 90° from both sides of this equation, we find ...

  x + a = 90° . . . . . . . . the acute angles are complementary.

  x = 90° -a = 90° -68°

  x = 22°

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

If Thabang and Ndivhu decided to share their money according to hours, then Thabang will receive R240.

Thabang worked for 3 hours and Ndivhu worked for 2 hours.

Together, they worked for a total of 5 hours. They were paid R400 for their work,

So, we calculate their hourly-rate by dividing the total amount by the total number of hours worked;

⇒ Hourly rate = (Total amount paid)/(Total number of hours worked),

⇒ Hourly rate = R400/5,

⇒ Hourly rate = R80 per hour,

Now, we find amount Thabang will receive if it is decided to share the money according to "hours-worked".

Thabang worked for 3 out of the total 5 hours, so he should receive 3/5 of the total amount paid,

⇒ Amount Thabang will receive = (Hours Thabang worked / Total hours worked) × Total amount paid,

⇒ Amount Thabang will receive = (3/5) × R400,

⇒ Amount Thabang will receive = R240,

Therefore, Thabang will receive R240 if they decided to share their money according to hours worked.

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The given question is incomplete, the complete question is

Thabang and his friend Ndivhu share a job of cleaning a neighbors yard and they were paid R400, Thabang worked 3 hours and Ndivhu worked for 2 hours. Determine the amount Thabang will receive if they decided to share their money according to hours​.

The LSA of prism is  157  square feet.

The TSA of prism is  169.738  square feet

We have,

Height = 10 feet

Area of base = 20 square feet

So, area of pentagonal base = 1/4 √5 (5 + 2√5) a²

20 = 1/4 √5 (5 + 2√5) a²

a = 3.14

Now, LSA of prism

= 5bh

= 5(3.14)(10)

= 157  square feet

and, TSA of prism

= 5 x 2(20)/ 15.7  + 157

= 169.738 square feet

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Answer below in the pictures:-

I hope it helps.

Answer:

A.) No

B.) test statistic = - 3.108

Check explanation

Step-by-step explanation:

H0: m = 105 versus H1: m ≠ 105

Sample size, n = 35, since we have a large sample size, greater than 30.

B.)

xbar = 101.9 ; s = 5.9

Test statistic :

T = (xbar - μ) ÷ (s/√n)

T = (101.9 - 105) / (5.9/√35)

T = - 3.1 / 0.9972820

Test statistic = - 3.11

Pvalue from Tstatistic, df = 34

Pvalue = 0.003772( Pvalue calculator)

Pvalue is the probability of obtaining a value more extreme or exactly that of the test statistic.

At α = 0.01

Pvalue < α ; We fail to reject the Null

Answer:

B, 1/2

Step-by-step explanation:

The equation for slope of line is \(\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{4-2}{5-1}= \frac{2}{4} = \frac{1}{2} , B\)

I hope this helps! :)

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

D

Step-by-step explanation:

103+103=206

360-206=154

154 divided by 2 equals 77 degrees aka D.

Hope this helped! :)

The graph of the system of the equation y > -1, y≥ x²+ 1, and (x-1)²+(y-1)² ≤ 16 is attached with the feasible region of each part shaded

The equation y > -1 is a horizontal line drawn at point y = -1 and shaded above the line because the sign is greater than. the line is dashed line line since the equation is not "greater than or equal to".

The equation y ≥ x²+ 1 is a parabolic equation

The equality sign attached to the greater than makes the line a solid line and because it is greater than the shading is inside the curve.

The equation (x - 1)² + (y - 1)² ≤ 16 is a equation of a circle

The equality sign attached to the greater than ("greater than or equal to") makes the line a solid line and because it is greater than the shading is inside the circle

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