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skelet666 [1.2K]
3 years ago
5

Find the value of the next term in the sequence. 15, 26, 48, 92, . . . HELP

Mathematics
1 answer:
meriva3 years ago
4 0

Answer:

180

Step-by-step explanation:

The pattern is the previous number multiplied by 2, then subtracted by 4.

Proof: 15 x 2 = 30; 30 - 4 = 26

26 x 2 = 52 ; 52 - 4 = 48

So then, we do 92 x 2.

92 x 2 = 184

184 - 4 = 180

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An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then wh
zhenek [66]

Answer:

70 offices

Step-by-step explanation:

21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices

6 0
2 years ago
HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid
aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

3 0
3 years ago
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be
STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

10x^2-19x+6

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

10x^2-19x+6=0

10x^2-15x-4x+6=0

5x(2x-3)-2(2x-3)=0

(5x-2)(2x-3)=0

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

3 0
4 years ago
Need help please<br> please use the image below to answer
spayn [35]

Answer:

Step-by-step explanation:

C and D answers look good

6 0
3 years ago
(Solve and write addition Equations) Zacarias and Paz together have $756.80. If Zacarias has $489.50, how much does Paz have? Wr
serious [3.7K]
$489.50+x=$756.80 

x=amount paz has.

756.80-489.50 = 267.3

so Paz has $267.30
4 0
3 years ago
Read 2 more answers
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