what is -3p²+17p=20​

Answer: (a)  {a, ar, ar², ar³, ar⁴, ar⁵...}, (b)  arⁿ⁻¹

For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.  

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

Answer:

3

Step-by-step explanation:

Plug -1 into 8x² - 5

8 (-1)² - 5 =

8 * 1 - 5 =

8 - 5 =

3

Answer:

-3x is the answer

Step-by-step explanation:

Answer:

-3x

Hopefully this helps lol

Answer:

D. The sum of twice number and six is no more than five.

Step-by-step explanation:

In the inequality,

[tex]2n+6\leq 5[/tex]

The number (n) is multiplied by (2), therefore options (A) and (B) can be ruled out since they have the statement, "twice the sum of a number and six". Moreover, one can see the inequality sign indicates that this value is less than or equal to (5). Thus, one of the possible solutions to this equation is (5), therefore, option (C) is incorrect. Therefore, the only remaining correction option is option (D).

Answer:

0.009......sushhd

Step-by-step explanation:

14.991.....djdjsj

Answer:

mine craft

Step-by-step explanation:

Answer:

C:reflection accross the x axis

Step-by-step explanation:

Answer:

Did you find It because I need it so can you reply please

Step-by-step explanation:

Answer:

Its D!

Step-by-step explanation:

all you have to do for the triangles  to  be simialr is  they have to add up to the same  number.

In triangle abc ma=70  and mb=35  add those  gives you 105

and  in  triangle mnp and M<N =70   which  also gives you 105

since u get the same answer    their similar!

Hope this helps!

Answer:

3

Step-by-step explanation:

Answer:2/5

Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5

Let the length of the map be L Cm.

Hence, L = 37.5 Cm

Now, Let the width of the map be B.( Breadth )

Now, we know that perimeter of a rectangle

= 2 ( L + B )

According to the question–

125 = 2 ( L + B )

{ Putting the value of L we get }

Or, 125 = 2 ( 37.5 + B )

Or, 125/2 = 37.5 + B

Or, 62.5 = 37.5 + B

Or, 37.5 + B = 62.5

Or, B = 62.5 – 37.5

Or, B = 25 Cm

Therefore, the Width of the rectangle is 25 Cm.

Answer:

square root -91/3

Step-by-step explanation:

just took the test

The right option is missing. The correct answer is tan(0) = -(√91)/3.

The trigonometric expression tan(0) has a value of -(√91)/3 when cos(0) = -3/10.

The values of all trigonometric functions dependent on the value of the ratio of sides of a right-angled triangle are known as trigonometric ratios. The trigonometric ratios of a right-angled triangle's sides about any of its acute angles are known as that angle's trigonometric ratios.

The three sides of the right-angled triangle are:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

The trigonometry ratios for a specific angle ‘θ’ is given below:

Trigonometric Ratios:

Sin θ =  Perpendicular/Hypotenuse

Cos θ = Base/Hypotenuse

Tan θ = Perpendicular/Base or Sin θ/Cos θ

Cot θ = Base/Perpendicular or 1/tan θ

Sec θ = Hypotenuse/Base or 1/cos θ

Cosec θ = Hypotenuse/Perpendicular or 1/sin θ

According to the Pythagoras theorem, we can say that in a right-angled triangle:

Hypotenuese² = Base² + Perpendicular²

We are given cos(0) = -3/10, 0 being an obtuse angle (90° < 0 < 180°, since 0 is an angle in quadrant II)

We need to remember that in quadrant II, sine is always positive, cosine is negative, and tangent is also negative.

We are asked to find the value of tan(0).

We know cos(0) = Base/Hypotenuse.

So we let the hypotenuse be 10k, and let the base be 3k. Let the perpendicular be p.

By Pythagoras' Theorem,

Hypotenuese² = Base² + Perpendicular²

or, (10k)² = (3k)² + p²

or, 100k² = p² + 9k²

or, p² = 100k² - 9k² = 91k² = (k√91)²

or, p = k√91

Now, we can find the value of tan(0):

tan(0) = Perpendicular/Base = -(k√91)/3k = -(√91)/3

(Negative value taken as tan is negative in quadrant II)

∴ The trigonometric expression tan(0) has a value of -(√91)/3 when cos(0) = -3/10.

Learn more about trigonometric expressions at

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Answer:

w = 36 centimeters

y = 24 centimeters

Step-by-step explanation:

The exact question is as follows :

Given - Janelle drew KL in isosceles trapezoid FGHJ to create similar trapezoids FKLJ and KGHL.

To find - Based on the given information, what are the values of y and w in centimeters?

Solution -

We can see that from the diagram,

Trapezoid FKLJ is 3 times bigger than Trapezoid KGHL

So,

The side KL = 3 times side GH

⇒12 = 3×4

⇒12 = 12 centimeters

So,

side FJ = 3 times side KL

⇒w = 3×12

⇒w = 36 centimeters

Now,

The side KF = 3 times side KG

⇒KF = 3×8

⇒KF = 24

Now,

We know,

In  isosceles trapezoid  two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length

So,

Side LJ = side KF

⇒y = 24 centimeters

∴ we get

w = 36 centimeters

y = 24 centimeters

Answer:

x = 17

Step-by-step explanation:

5x - 18 + 2x = 33 + 4x

(Combine like terms)

=> 7x - 18 = 33 + 4x

(Subtract 4x from each side of "=")

=> 3x - 18 = 33

(Add 18 to each side of "=")

3x = 51

(Divide each side by 3)

x = 17

Hope this helps!

Answer:

C) x = 17

Step-by-step explanation:

Answer:

The ordered pair associated with a t-value of -1 is (-3, 1).

Step-by-step explanation:

Substitute the t-value, or -1, into both of the equations to find the pairs.

x = t - 2

x = (-1) - 2

x = -3

y = t^2

y = (-1)^2

y = 1

The ordered pair associated with a t-value of -1 is (-3, 1).

Answer:

9

Step-by-step explanation:

∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.

A series is the cumulative sum of a given sequence of terms.

The given expression is 13 + 9 + 5 + 1

The terms of this series are 13,9,5,1

It is an AP. Here, first term is 13 and common ratio is -4.

The nth term of an AP is

aₙ=a+(n-1)d

=13+(n-1)(-4)

=13-4n+4

=17-4n

The summation formula of an Arithmetic progression is

∑aₙ

The value of n is 4 because the number of term is 4. So, the summation formula is

∑(17-4n)

Hence ∑(17-4n) is the summation formula represents the series

13 + 9 + 5 + 1.

To learn more on series click:

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Answer:

- 5 (x = 1)

Step-by-step explanation:

When x equals 1, it fits in the piece where x < 3. The equation for that interval is -x - 4. We can substitute 1 into that equation to get:

- 1 - 4

- 5

Answer:

31

Step-by-step explanation:

x+y = 57

x = y+5

=>

y + 5 + y = 57

=> 2×y + 5 = 57

=> 2×y = 52

=> y = 26

=> x = 26 + 5 = 31

Answer:

6sqrt(3)

Step-by-step explanation:

Using pythagoras theorem

Answer: See explanation

Step-by-step explanation:

From the information given, we are told that on Saturday, the gymnast walked a distance of x miles while on Sunday, the gymnast walked half the distance that he walked on Saturday. ​

Therefore, the expression that represents the total number of miles the gymnast walked on Saturday and Sunday will be:

= x + (½ × x)

= x + ½x

= 1½x or 1.5x

Answer:

12 (step by step is below)

Step-by-step explanation:

20% can be rerwitten as 1/5 or .20

since yous container holds 10 ounces you multiply by 1.20 (1 + amount of change) 10 x 1.2 = 12

- Gage Millar, Algebra 2 Tutor

Answer:

16.64911

Step-by-step explanation:

Answer:

area of the regular pyramid is =T.S.A=12pl+B is the formula for this question