Find the 5th term in the sequence an=3n - 5

Answer:

a = 2.5

Step-by-step explanation:

It is mentioned that 2 is a zero of the polynomial f(x) = ax² - 3(a - 1)x - 1

So that means :

⇒ f(x) = 0

⇒ x = 2

Substituting and solve for a :

⇒ 0 = a(2)² - 3(a - 1)(2) - 1

⇒ 0 = 4a - 6(a - 1) - 1

⇒ 0 = 4a - 6a + 6 - 1

⇒ 2a = 5

⇒ a = 2.5

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (−3+2j)(4j−7) is 8j²-26j+21.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression (−3+2j)(4j−7) can be expression is,

(−3+2j)(4j−7)

= -12j + 21 + 8j² -14j

= 8j² -26j +21

Hence, the value of the expression (−3+2j)(4j−7) is 8j²-26j+21.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Answer:

85 as aparcentege

85/100

0.85%

Answer: £9.3 more

Step-by-step explanation:

Price for winter tickets: £18 + £18 + £14 = £50

Summer tickets pricing:

£18 + 20% = £21.6  

£14 + 15% = £16.1

Price for summer tickets: £21.6 + £21.6 + £16.1 = £59.3

Subtract winter tickets from summer tickets for difference:

£59.3 - £50 = £9.3

Answer:

2.6 m

Step-by-step explanation:

The surface area for rectangular prisms is: S = 2lw + 2lh + 2wh, where l = length, w = width, h = height.

Substitute the known values into this equation: h = 5, l = 10, w = x, S = 178

178 = 2(10x) + 2(5 x 10) + 2 (5x)

Simplify!

178 = 20x + 100 + 10x

Subtract 100 from both sides and combine x's

78 = 30x

divide both sides by 30

x = 2.6 m

answer check: 2(10 x 2.6) + 2(5 x 10) + 2 (5 x 2.6) = 178 (true!)

The cylinder is a three-dimensional shape, and the base area of the cylinder is 12π square feet

The given parameters are:

The volume of a cylinder is calculated using:

Volume =  Base area * Height

So, we have:

216π = Base area * 18

Divide both sides by 18

Base area = 12π

Hence, the base area of the cylinder is 12π square feet

Read more about volume at:

https://brainly.com/question/1972490

#SPJ4

Answer:

12

Step-by-step explanation:

Julia has the greater median

Julia also has the greater mean.

Averagely, Julia practiced for a greater amount of time each day.

Mean = sum of data points / number of data points.

Median = center/middle of the data distribution.

Mean for Julia = (20 + 20 + 30 + 60 + 60 + 60 + 70 + 70 + 100 + 100 + 100 + 115 + 115 + 115)/14 = 69.6

Mean for Hannah = (20 + 20 + 30 + 30 + 45 + 45 + 45 + 70 + 70 + 70 + 75 + 90 + 90 + 120)/14 = 58.6

Median for Julia = 70

Median for Hannah = (45 + 70)/2 = 57.5

Julia has the greater median and also has the greater mean.

Averagely, we can conclude that Julia practiced for a greater amount of time each day.

Learn more about the mean and median of a data on:

https://brainly.com/question/19243813

#SPJ1

Answer:

Step-by-step explanation:

the area of a triangle is area= 1/2 x base x height. ( half multiply by base multiply by height)

so plug in 22 for area 22=1/2 x 4 x height

22/2=11

11 is the length

hope this helps.  

Answer:

0.892

Step-by-step explanation:

The probability that it is raining and the flight is delayed is 0.008.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06.

Let P(A)=0.14 and P(B)=0.06

Here, P(A and B)=P(A)×P(B)

=  0.14 ×0.06

= 0.0084

= 0.008

Therefore, the probability that it is raining and the flight is delayed is 0.008.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

2

Step-by-step explanation:

Answer:

the cost of the textbook was $173.14 before the tax was added

Step-by-step explanation:

6.75% of $185.67 is 0.0675 x $185.67 = $12.53

$12.53 is 6.75% of $185.67

sine $185.67 is the total AFTER we subtract the amount

$185.67 - $12.53 = $173.14

Answer:

Step-by-step explanation:

Answer:

9, if you round to 2 Decimal Places.

(C = 18π = 18 × π = 56.54 (2 DP))

r = C ÷ 2π

   = 56.54 ÷ 2 × π ≈ 9

Answer:

x^2 + 17x + 30

Step-by-step explanation:

Just multiply the components from first bracket to components of second bracket, then add like terms and rearrange to write numbers from highest exponents to lowest.

Answer:

bule is in the spot of green in the sixth place of box 5

Step-by-step explanation:

Answer:

The answer is b (the second option)

Step-by-step explanation:

The different units of measurement (millimeters, centimeters, meters and kilometers) are used to measure from very short distances such as the amount of a medicine in a syringe to long distances between cities.

Measurement units are a series of references that are used to measure different elements and factors. Specifically, the units of measure for distance measure the distance between two points.

However, not all units of measure work for all situations, for example:

Learn more about distance in: https://brainly.com/question/15172156

#SPJ1

Answer:

5

Step-by-step explanation:

you have to do a^2+b^2=c^2, so a you don't know so skip that then for the b u would put 12^2 wich is 144 then you know the c witch us 13^2 wich is 169. then solve the equation which would give you a answer of 5

[tex]~~~~~~(8x-17)+(3x+2)+63 = 180\\\\\implies 11x +48=180\\\\\implies 11x = 180-48\\\\\implies 11x = 132\\\\\implies x= \dfrac{132}{11}\\\\\implies x= 12[/tex]

Answer:

x = 12.

Step-by-step explanation:

The sum of the 3 angles is 180, so:

8x - 17 + 3x + 2 + 63 = 180

11x -15 + 63 = 180

11x = 180  + 15 - 63

11x = 132

x = 132/11 = 12

The solution to all parts are given below:

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

1. The experiment is to spin the wheel and get the number and related to that number reward will be there.

2. The outcomes will be,

{1, 2, 3, 4, 5, 6, 7, 8}

3. Sample space

{1, 2, 3, 4, 5, 6, 7, 8}

4. Event of red with even number

= 2 , 6

5.  Event of red with odd number

= 3,7

Learn more about experiment here:

https://brainly.com/question/1748066

#SPJ1

Answer:

(a)  (3, 0) and (-8, 0)

(b)  (-2.5, 0)

(c) x = -2.5

(d) f(-2.5) = -30.25

Step-by-step explanation:

Given quadratic function:

[tex]f(x)=(x-3)(x+8)[/tex]

The x-intercepts are when [tex]f(x)=0[/tex]

[tex]\implies f(x)=0[/tex]

[tex]\implies (x-3)(x+8)=0[/tex]

[tex]\implies (x-3)=0 \implies x=3[/tex]

[tex]\implies (x+8)=0 \implies x=-8[/tex]

Therefore, the x-intercepts are (3, 0) and (-8, 0)

Midpoint between two points:

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad[/tex]

[tex]\textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]

[tex]\implies \textsf{Midpoint of the x-intercepts}=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-2.5},0\right)[/tex]

The extreme point of a quadratic function in the form [tex]f(x)=ax^2+bx+c[/tex] is:

[tex]x=-\dfrac{b}{2a}[/tex]

Therefore, expand the function so that it is in standard form:

[tex]\implies f(x)=x^2+5x-24[/tex]

[tex]\implies a=1, b=5[/tex]

Therefore, the extreme value is:

[tex]\implies x=-\dfrac{5}{2}=-2.5[/tex]

Alternative method

A quadratic function has an extreme value at its vertex.

The x-value of the vertex is the midpoint of the x-intercepts.

Therefore, the extreme value is x = -2.5

[tex]\begin{aligned}\implies f(-2.5) & =(-2.5-3)(-2.5+8)\\& = (-5.5)(5.5)\\& = -30.25\end{aligned}[/tex]

Answer:

jklgyukdj

Step-by-step explanation:

Answer:

0.02<P-value<0.04

Step-by-step explanation:

solved in Khan Academy

Answer:

1, 2 +, 3 | 1, +, + | 1 +, 2 +, +

1, 2, 3, 4 | 2, 3, 5, 6 | 1, 3, 4, 5, 6

Step-by-step explanation:

Answer:

1311

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The statement about the hyperbola is true is D. the point (−2, 0) is a vertex.

It should be noted that a hyperbola simply means an open curve that has two branches and usually symmetric.

In this case, the statement about the hyperbola is true is that the point (−2, 0) is a vertex.

Learn more about hyperbola on:

https://brainly.com/question/3351710

#SPJ4

If the value of a and e is 5 and 4, then the value of b is 3. Then the equation of the ellipse will be given below.

[tex]\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]

Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.

The vertices (±5,0) and foci (±4,0) are given. Then the equation of the ellipse will be

We know that the general equation of the ellipse will be

[tex]\rm \dfrac{x^2 }{a^2} +\dfrac{y^2}{b^2} = 1[/tex]

Then the value of a will be

a = 5

And the value of the eccentricity will be

e = 4/5

Then the value of the b will be

[tex]\rm b^2 = a^2 - a^2e^2\\\\b^2 = 5^2 - 5^2 \times \dfrac{4^2}{5^2}\\\\b^2 = 25 - 16\\\\b \ = 3\\[/tex]

Then the equation will be

[tex]\rm \dfrac{x^2 }{5^2} +\dfrac{y^2}{3^2} = 1\\\\\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]

More about the ellipse link is given below.

https://brainly.com/question/19507943

#SPJ4