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2 years ago

Which output in this table is incorrect

Mathematics

1 answer:

77julia77 [94]2 years ago

5 0

Answer:

Step-by-step explanation:

This is quite a trial and error question.

Given from the table

$1 cost of item = $0.08 tax on item

$2 cost of item = ($0.08x2) tax on item = $0.16 tax on item

$3 cost of item = ($0.08x3) tax on item = $0.24 tax on item

$8.50 cost of item = ($0.08x8.50) tax on item = $0.68 tax on item

$10 cost of item = ($0.08x10) tax on item = $0.80 tax on item

The only one that is different is the incorrect value therefore $0.64 is the incorrect one.

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Find a vector of magnitude 3 in the direction of v = 10i - 24k. The vector is Oi-Oj+k (Simplify your answer. Use integers or fra

Soloha48 [4]

Given :

A vector v = 10i - 24k.

To Find :

A vector of magnitude 3 in the direction of v = 10i - 24k.

Solution :

Unit vector in the direction of vector v is :

$\^{v}=\dfrac{v}{|v|}\\\\\^{v}=\dfrac{10i-24k}{\sqrt{10^2+24^2}}\\\\\^{v}=\dfrac{10i-24k}{26}$

Now , vector of magnitude 3 in direction v is :

$r=3 \^{v}\\\\r=3\times \dfrac{ (10i-24k)}{26}\\\\r=\dfrac{3}{13} (5i-12k)$

Hence , this is the required solution .

6 0

2 years ago

Every year Michelle and her mother attend the annual winter ice-skating show last year seating cost $72 per ticket. This year ea

nevsk [136]

Answer:

The answer is probably 54

Step-by-step explanation:

If you divide 72 divide 4 because 72 is 100 and 25 is 1 part then you get 54

I dont really get my explanation anymore

6 0

2 years ago

Read 2 more answers

The vertex form of the equation of a parabola is y=2(x+3)^2-5. What is the standard form of the equation?

Nuetrik [128]

To find the standard form of the equation, you need to:
1. Write the Equation Out:
 $y = 2(x+3)^{2} -5$
2. Distribute the Exponent:
 $y = 2( x^{2} +6x+9)-5$
3. Use the Distributive Property:
 $y = 2 x^{2} +12x+18-5$
4. Combine Like Terms:
 $y = 2 x^{2} +12x+13$

Your Answer: $y = 2 x^{2} +12x+13$
Hope this helps!

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2 years ago

The Joke Shop had 59 false rubber noses in stock. on monday they sold 4 and on tuesday they sold 8. how many fALSE RUBBER NOSES

Kruka [31]

Answer:

Step-by-step explanation:4

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3 0

3 years ago

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write the sum using summation notation, assuming the suggested pattern continues. 3 - 15 + 75 - 375 + ...

Roman55 [17]

Answer:

Sn = ∑ 3(-5)^n, from n = 0 to n = n

Step-by-step explanation:

* Lets study the geometric pattern

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)

# 5000 , 1000 , 200 , 40 , …………………………(÷5)

* General term (nth term) of a Geometric pattern

- U1 = a , U2 = ar , U3 = ar^2 , U4 = ar^3 , U5 = ar^4

- Un = ar^n-1, where a is the first term , r is the constant ratio between

each two consecutive terms, n is the position of the number

# Ex: U5 = ar^4 , U7 = ar^6 , U10 = ar^9 , U12 = ar^11

- The sum of first n terms of a Geometric Pattern is calculate from

Sn = a(1 - r^n)/(1 - r)

- The summation notation is ∑ a r^n, from n = 0 to n = n

* Now lets solve the problem

∵ The terms if the sequence are:

3 , -15 , 75 , -375 , ........

∴ a = 3

∵ r = ar/a

∵ ar = -15 and a = 3

∴ r = -15/3 = -5

∵ Sn = a(1 - r^n)/(1 - r)

∴ Sn = 3[1 - (-5)^n]/[1 - (-5)] = 3[1 - (-5)^n]/6 = 1/2[1 - (-5)^n]

- By using summation notation

∵ Sn = ∑ a r^n , from n = 0 to n = n

∴ Sn = ∑ 3(-5)^n

5 0

3 years ago