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mash [69]
2 years ago
5

HELP ME PLEASE WITH THIS QUESTION! :D

Mathematics
1 answer:
Montano1993 [528]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)}

(a)

3 × a × 2 × b

= 3 × 2 × a × b

= 6ab

(b)

c^{5} × c

= c^{(5+1)}

= c^{6}

(c)

2y^{4} × 5y³

= 2 × 5 × y^{4} × y³

= 10 × y^{(4+3)}

=10y^{7}

(d)

3gh² × 4g³h³

= 3 × 4 × g × g³ × h² × h³

= 12 × g^{(1+3)} × h^{(2+3)}

= 12g^{4}h^{5}

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How much extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a dia
Sergio039 [100]

The amount of the extra snow would a child need to take a snowball will be 636.71 cubic cm.

<h3>What is the volume of the sphere?</h3>

Let d be the diameter of the sphere.

Then the volume of the sphere will be

V = 1/6 πd³ cubic units

Then the amount of the extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm will be

Amount of snow = 1/6 π x 12³ - 1/6 π x 8³

Amount of snow = 288 π - 85.33π

Amount of snow = 636.71 cubic cm

More about the volume of the sphere link is given below.

brainly.com/question/9994313

#SPJ1

4 0
2 years ago
James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long
katen-ka-za [31]

Answer:

a) ~10.58 km/h

b) 45 min

c) 15 km/h

Step-by-step explanation:

a) 45km for 4 hours and 15min (4.25 hours) = 45 / 45.25 ~= 10.58 km/h

b) From 4:15 to 5 = 45min

c) 45km for 3 hours (5:00 to 8:00) = 45 / 3 = 15 km/h

NOTE!

The author actually wanted the answer on A) to be 10 km/h and the journey to be 4.5 hours (4 hours 30min) but instead they made it 4.25 (as shown on the graph, since 1 square is 30 minutes).

5 0
3 years ago
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3
RSB [31]

Answer:

\Large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Step-by-step explanation:

Hello,

Based on the indication, we can write this polynomial as below, k being a real number that we will have to identify (degree = 3 and we have three zeroes -3, -1, and 2).

   \Large \boxed{k(x+3)(x+1)(x-2)}

We know that the point (1,10) is on the graph of this function, so we can say.

k(1+3)(1+1)(1-2)=10}\\\\4*2*(-1)*k=10\\\\-8k=10\\\\k=\dfrac{10}{-8}=-\dfrac{5}{4}

Then the solution is:

\large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
In a mathematics test, Azmah scored 17 marks more than Yazid while Suzana's score is twice of Yazid's score. If their total scor
natta225 [31]

Answer:

53 marks

Step-by-step explanation:

To sue a linear equation to solve the given problem, we must assign a function to the score of one of them. Let the score of Azmah be N. Then given that Azmah scored 17 marks more than Yazid, Yazid's score will be

= N - 17

Given that Suzana's score is twice of Yazid's score, then Suzana's score

= 2(N - 17)

If their total score is 161 then

N + N - 17 + 2(N - 17) = 161

4N = 161 + 51

4N = 212

N = 53 . This is Azmah's score

3 0
3 years ago
How do I do number 1?
Kaylis [27]
Use the calculator in the app photomath
3 0
3 years ago
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