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3 years ago

Please help me!!!!!!!!!!!!!!

Mathematics

1 answer:

Kamila [148]3 years ago

5 0

Answer: $y=-(x-1)^{2} +3$

Step-by-step explanation:

Vertex form of the equation is

y = a(x – h)2 + k, where (h, k) is the vertex.

your vertex is at (1,3)

the equation would be $y=a(x-1)^{2} +3$

Use the through point to find a

$-1=a(3-1)^{2} +3\\-1=4a+3\\-4=4a\\-1=a$

Final Equation would be

$y=-(x-1)^{2} +3$

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Someone please help me out with number 8 and 9 and 10

Ket [755]

Answer:

9. 0.0539 Liters

10. 216 quarts

Step-by-step explanation:

I dont know the answer to 8 but i do for 9 and 10!

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3 years ago

Which expression is equivalent to 3 7/8-6 1/4

Serhud [2]

get a common denominator which is 24

3 7/8 = 3 21/24

6 /4 = 6 6 /24

3 21/24 - 6 6 /24

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7 0

3 years ago

Problem-solving Practice

kotykmax [81]

First, what's 3 to the power of 8?
Then what's 3 to the power of 10

Now subtract them by each other for your answer

6 0

3 years ago

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There is a population of 5,000 bacteria in a colony. If the number of bacteria doubles every 37 minutes, what will the populatio

Troyanec [42]

Answer:

If there are 5000 bacteria in a colony right now, there will be 5000x2, or 10000 bacteria in the colony in 37 minutes.

If there are 10000 bacteria in the colony in 37 minutes, there will be 20000 bacteria in the colony in 74 minutes, as the bacteria doubles every 34 minutes.

Let me know if this helps!

8 0

3 years ago

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Find

Sedaia [141]

Answer:

The amount of steel used = 94.38 $m^{2}$

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = $\frac{diameter}{2}$

= $\frac{4.2}{2}$

radius = 2.1 m

Total surface area of a cylinder = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

= 2 $\pi$ r(r + h)

= 2 x $\frac{22}{7}$ x 2.1 (2.1 + 4.5)

= 44 x 0.3 (6.6)

= 87.12

Total surface area of a cylinder = 87.12 $m^{2}$

Since $\frac{1}{12}$ of the steel was wasted, then;

$\frac{1}{12}$ x 87.12 = 7.26 $m^{2}$

Actual area of steel sheet used = 87.12 + 7.26

= 94.38 $m^{2}$

Thus, 94.38 $m^{2}$ of steel was used in making the tank.

4 0

3 years ago