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lana66690 [7]
3 years ago
10

19. If the polynomial P(x) = 27x^3 + 9x^2 – 3x – 10 is divided by 3x – 2, the remainder will be

Mathematics
1 answer:
aksik [14]3 years ago
4 0

Answer:

D) 0

Step-by-step explanation:

Remainder is zero as 10 is fully divisible by 2.

<u>Proof</u>:

  • 27x^3 + 9x^2 – 3x – 10 = (3x -2) (9x^ 2 +9x+5)

<u>Correct choice is</u> D) 0

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A cylindrical soup can has a diameter of 3.6 in. and is 6.4 in. tall. Find the volume of the can.
arsen [322]
<h2>⚘Your Answer:------</h2>

<h3><u>Given</u><u> </u><u>Information</u><u>:</u></h3>

  • <u>Diameter of can</u>:- 3.6 cm
  • <u>Height of</u><u> </u><u>can</u><u>:</u><u>-</u> 6.4 cm

<h3><u>To</u><u> </u><u>Find</u><u> </u><u>Out</u><u>:</u></h3>

  • <u>Volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>Can</u><u>.</u>

<h3><u>Solution</u><u>:</u></h3>

Radius = (Diameter/2)

ㅤㅤㅤㅤ3.6 cm/2

ㅤㅤㅤㅤ1.8 cm

<u>So</u><u>,</u><u> </u><u>Radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>soup</u><u> </u><u>can</u><u> </u><u>is</u> 1.8 cm.

Volume øf cylinder = Volume øf can

Volume of cylinder = π r²h

(π = 22/7)

(r = radius = 1.8 cm)

(h = height = 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7×(1.8 cm)²× 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7× 3.24 cm² × 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7 × 20.736 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= (456.192/7) cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 65.17 cm³

So, the Volume of the soup can is 65.17 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤ⚘Thank You

7 0
2 years ago
Givers the linear sequence,<br> -2,7,X,Y, 2... Find the value of<br> Z.
Harrizon [31]

Answer:

Z = 34

Step-by-step explanation:

From the series, we have that:

a = -2

a + d = 7

Hence, -2 + d = 7

∴ d = 7 + 2 = 9

a + 2d = X; a + 3d = Y and a + 4d = Z

-2 + 4(9) = Z

∴ Z = 36 - 2 = 34

7 0
3 years ago
3<br> -3<br> 1/3<br> -1/3 <br><br> Please help
goldfiish [28.3K]

Im pretty sure the answer is 1/3

8 0
3 years ago
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...I don’t understand umm can anyone help me smh-
Anna007 [38]
Answer:

{Rounded to the nearest Hundredths place}

1) Mercury= 170.55
2) Venus= 277.86
3) Earth= 389.62
4) Mars= 401.29

Explanation:

Mercury: 3.3022 x 10^19= 170.549894825 which rounds to 170.55

Earth: 5.9722 x 10^24= 389.618945662 which rounds to 389.62

Venus: 4.8675 x 10^21= 277.855972801 which rounds to 277.86

Mars: 6.4185 x 10^23= 401.287714067 which rounds to 401.29

•So smallest to largest would be• 170.55, 277.86, 389.62, and 401.29

[I hope this helps][Sorry if it doesn’t make sense]

3 0
3 years ago
Katarina uses fraction strips to show how many thirds are in 4/6.Is Katarina's model correct?Explain
Mariulka [41]

I cant see the model but 2/3 is the same as 4/6

8 0
3 years ago
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