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3 years ago

Use a table to find the solution to the situation.

Mathematics

1 answer:

AysviL [449]3 years ago

8 0

Answer:

245+45x=170+60x

therefore in 5 days, they will charge the same amount

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Find the sales tax only. $199.95 ipod; 9% tax

damaskus [11]

the sales tax is close to 217.94

7 0

3 years ago

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Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

3 years ago

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (−1

ludmilkaskok [199]

Answer: 8 -1

Step-by-step explanation:

referring to brainly.com/question/16983018

The given parameters are;

Location of the beginning of the left edge of the stencil = (-1, 2)

Location of the detail = (2, 1)

Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2

Distance from beginning to detail = √((-1 - 2)² + (2 - 1)²) = √10

Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;

√10:Length of stencil side = 1:2

Distance from detail to stencil end = 2×√10

Which gives;

Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°

x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8

y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1

The coordinates of the end of the stencil = (8, -1)

5 0

2 years ago

A refrigerator contains 11 drinks 5 lemons drinks 3 apple drinks and 3 orange drinks. Abby is first in the line for drinks. Tell

iren2701 [21]

P(LO)=(5/11)(3/10)

P(LO)=3/22

8 0

3 years ago

algol [13]

Answer:

Step-by-step explanation:

We have the two functions:

$f(x)=\sqrt{x}+12\text{ and } g(x)=2\sqrt{x}$

And we want to find (f-g)(144).

This is the same thing to f(144)-g(144).

So, let’s determine the value of f(144) and g(144) first:

$\begin{aligned} f(144)&=\sqrt{144}+12 \\ &=12+12 \\ &=24\end{aligned}$

And:

$\begin{aligned} g(144)&=2\sqrt{144} \\ &=2(12) \\ &=24 \end{aligned}$

Hence:

$\begin{aligned} (f-g)(144) &= f(144)-g(144) \\ &=24-24 \\ &=0 \end{aligned}$

Our final answer is 0.

6 0

3 years ago

Read 2 more answers