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olya-2409 [2.1K]
3 years ago
15

Plzzzzzz help!!!!! ASAP! ( MATH ) FIRST ONE GETS BRAINLIST, A THANK YOU AND POINTS

Mathematics
2 answers:
OLEGan [10]3 years ago
7 0

Answer:

Part A answer is 1/2

Part B answer is Yes there will be enough

Step-by-step explanation:

If it helped don't forget to give me brainliest!!!

Gnesinka [82]3 years ago
5 0

Answer:

a) 1/2 of the yard is used by these.

b) There will be more than enough space.

Step-by-step explanation:

Find a common denominator. In this case, use 12. Remember, what you multiply to the denominator, you must multiply to the numerator:

Field: 1/4 x 3/3 = 3/12

Baseball Diamond: 1/6 x 2/2 = 2/12

Kindergarten play area: 1/12 = 1/12

Add the 3 fractions together to get the total:

3/12 + 2/12 + 1/12 = (3 + 2 + 1)/12 = 6/12 or 1/2

a) 1/2 of the yard is used by these.

The principal wants to use 1/6 of the yard for a tarmac. 1/6 is less than 1/2:

1/2 * 3/3 = 3/6

There will be enough space, with 2/6, or 1/3 extra available space.

~

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Please help me solve this​
Viktor [21]

You can factor the 32 out of the sum:

\displaystyle \sum_{m=1}^\infty 32 \cdot \left(\dfrac{1}{2}\right)^{m-1} = 32\sum_{m=1}^\infty \left(\dfrac{1}{2}\right)^{m-1}

We can also change the index as follows

\displaystyle 32\sum_{m=1}^\infty \left(\dfrac{1}{2}\right)^{m-1} = 32\sum_{m=0}^\infty \left(\dfrac{1}{2}\right)^{m}

Now, we have a theorem that states that the series

\displaystyle \sum_{m=1}^\infty a^m

converges if and only if |a|, and in this case we have

\displaystyle \sum_{m=1}^\infty a^m = \dfrac{1}{1-a}

This is your case, because you have

|a|=\dfrac{1}{2}

which implies that your series converges, and the value is

\displaystyle 32\sum_{m=0}^\infty \left(\dfrac{1}{2}\right)^{m} = 32 \cdot \dfrac{1}{1-\frac{1}{2}} = 32\cdot 2 = 64

3 0
3 years ago
Select the expression that is equivalent to (x+5)^2​
nataly862011 [7]

Answer:7500

Step-by-step explanation:

if you divide 15000 and 2 you get 7500.and if you get 7500 you have to multiply to check if its correct so 7500 times 2 equals 15000. So the answer is 7500.

4 0
3 years ago
Describe the graph of the functions y=|x+2|
inn [45]

To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.

In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.

x = -3

y = |-3 + 2| = |-1| = 1

x = -2

y = |-2 + 2| = |0| = 0

x = -1

y = |-1 + 2| = |1| = 1

x = 0

y = |0 + 2| = |2| = 2

x = 1

y = |1 + 2| = |3| = 3

x = 2

y = |2 + 2| = |4| = 4

x = 3

y = |3 + 2| = |5| = 5

<u>  x   ║   y</u>

-3        1

-2        0

-1         1

 0        2

 1         3

 2        4

 3        5

Obtaining the graph shown in the image attached.

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7 0
3 years ago
Help me with thank u sm ❤️❤️
inn [45]
-7 1/8 < -7 1/2 is the answer
6 0
3 years ago
What are the solution(s) to the quadratic equation 9x2 = 4?
Lunna [17]
Multiply 9 by 2

18 = 4

Then subtract 4 from both sides

18 - 4 = 0 will become

14 = 0

Since 14 ≠ 0, there are no solutions
3 0
3 years ago
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