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Vilka [71]
3 years ago
7

HELP QUESTION IN PICTURE NEED ANSWER FAST ​

Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:

\frac{b^{4} }{a}

Step-by-step explanation:

\frac{a^{3}b^{5}  }{a^{4}b } is the equation we need to simplify. In order to do this, we must remember what these exponents mean.

\frac{a^{3}b^{5}  }{a^{4}b } = \frac{aaabbbbb}{aaaab}

Now, we see that we can divide and cancel.

\frac{aaabbbbb}{aaaab} = \frac{bbbb}{a} = \frac{b^{4} }{a}

Another way we can solve this is by knowing that exponents in the denominator become negative when we move them to the numerator:

\frac{a^{3}b^{5}  }{a^{4}b } = a^{3}b^{5}a^{-4}b^{-1} = a^{-1}b^{4} = \frac{b^4}{a}

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The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters
inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres

(b)

Put d = 100 in h=-0.002d^2+0.3d

h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres

4 0
3 years ago
WILL GIVE 25 POINTS FOR ANSWERING AND BRAINIER!!!
lys-0071 [83]

Answer:

A

Step-by-step explanation:

It just makes the most sense

3 0
3 years ago
Solve for w. 4w - 15 = 17 Simplify your answer as much as possible.​
algol [13]
Start of by trying to make 4w the subject of the equation. + 15 to each side making the equations 4w= 15+17, (15+17=32) 4w= 32 meaning that w= 8 because all you do is divide each side of the equation by 4 . HOPE THAT HELPS . if you need more help just shout me
8 0
3 years ago
Please help me!! thanks!!!
blsea [12.9K]
If what you are trying to do here is isolate <em>b,</em> multiply both sides by 2. This cancels out the one half on the side with the <em>b. </em>Then, divide both sides of the equation by h. The End result should be B = 2A/h.
8 0
3 years ago
Mrs Tan bought 4 times as many pens as notebooks and each notebook cost $8.20 more than each pen. She spent $26 more on the book
lilavasa [31]
Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20

Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4

She spent $26 more on books than on pens which means

Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26

Sinplifying it

(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104

She spent $394 which means

Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394

Simplifying it

(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576

Now, we have two equations,

(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576

Now we need to find a third equation with either x or y as the subject of any of both the previous equations.

Let's make y the subject of (2) equation

8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)

Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)

8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3

Now find the value of y by substituting the value of x in either equation, preferably (3)

y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80

Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50

8 0
3 years ago
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