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2 years ago

The 80th term of an arithmetic sequence is twice the 30th term. If the first term of the sequence is 7, what is the 40th term?

1 answer:

8 0

It seems that "d" or the common difference is a number that makes the sequence go into the larger positive realm of numbers. Therefore, 2*(7+30d)=7+80d. d=35/100. Now just do 7 + 40(35/100) = 21. 21 is your answer!

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Solve the equation for x by graphing.<br><br> 2^x - 4 = -4^x + 4

lapo4ka [179]

X~1.25. All you have to do is graph the function and see where the graph crosses the x-axis.

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2 years ago

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The circumference of each of the smaller circles is 12 mm. Find the area of the shaded region.

podryga [215]

Answer:

11.45mm^2

Step-by-step explanation:

Given data

Circumference= 12mm

The expression for the circumference is

C= 2πr

12= 2*3.14*r

12= 6.28r

r= 12/6.28

r= 1.91mm

Hence the area of each small circle is

A= πr^2

A= 3.14*1.91^2

A= 3.14*3.6481

A=11.45mm^2

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2 years ago

The price of a pair of shoes is $45.90. The sales tax rate is 5%. How much sales tax do you need to pay?

Ne4ueva [31]

Multiply the price by the 5% by turning the percent into a decimal.
5% = 0.05
45.90 x 0.05 = $2.295
Which can be rounded to 2.30 if needed.

5 0

3 years ago

Read 2 more answers

A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props,

sergeinik [125]

Answer:

The total budget is $1260

Step-by-step explanation:

Given

$Props = \$693$

$Costumes = 45\%$

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

$\%Props + \%Costumes = 100\%$

$\%Props + 45\%= 100\%$

$\%Props= 100\% -45\%$

$\%Props= 55\%$

In other words, 55% was spent on Props

Let the total budget be x, we have:

$55\% * x = \$693$

Make x the subject

$x = \$693/55\%$

$x = \$1260$

Hence, the total budget is $1260

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2 years ago

Which inequality is equivalent to this one?<br>Y-8≤-2

Arlecino [84]

Answer:

y-8+8

Step-by-step explanation:

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3 years ago