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lesya [120]
3 years ago
13

Order the expressions by choosing >,<, or =

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

1. <

2. <

3. >

Step-by-step explanation:

Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.

1. 2^5 = 2\times2\times2\times2\times2

2\times2\times2\times2\times2=32

=32

2^2 = 2\times2

2\times2=4

32\times4=128

2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2

2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024

128 < 1024

2. 2^2=2\times2=4

5^2=5\times5=25

4\times25=100

=100

2^{10} = 1024

100 < 1024

3. 2^5 = 32

5^2=25

32\times25=800

10^2 = 10\times10 = 100

800 > 100

Hope this helps.

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Help please what is the sum of the series ?
aksik [14]
Comment
There are 4 terms in this series
That's because the summation (Sigma) goes from 3 to 6 inclusive. So k takes on values of  3,4,5,6

You could use this summation formula

Formula 
Sum = (a + L)n/2

Substitution 
a is the first term.
k = 3 for the first term
a = -5k + 20
a = -5(3) + 20
a = -15 + 20
a = 5

For the last term k = 6
L = -5(6) + 20
L = -30 + 20
L = - 10

Sum
Sum = (5 - 10)*4/2
Sum = -5 * 2
Sum = -10

Comment
You may wonder how come the last term and the sum are the same. The reason to be found by figuring out the 4 terms and adding them together.

When k = 3, -5k + 20 = -15 + 20 = 5
When k = 4, -5k + 20 = -20 + 20 = 0
When k = 5, -5k + 20 = -25 + 20 = -5
When k = 6, -5k + 20 = -30 + 20 = -10

Sum = 5 + 0  - 5 - 10 = - 10

Conclusion. 
It is an accident of the numbers.

Answer: - 10 = the Sum
8 0
3 years ago
What is the value of x in the circle on the right
german

To solve this we need to use Pythagorean theorem

{x}^{2}  +  {14}^{2}  = (9 + x) ^{2}  \\  {x}^{2}  + 196 = 81 + 18x +  {x}^{2}  \\ 18x = 115 \\ x = 6.3(8) \simeq6.4

Answer: x≈6.4

8 0
3 years ago
What is the value of s?<br>____ units
vagabundo [1.1K]
ABD is the right triangle. AD is the hypotenuse.
By the <span>Pythagorean theorem:

</span>AD^2=AB^2+BD^2=8^2+15^2=64+225=289 \\  \\ AD= \sqrt{289}=17   \ units
<span>
s = 17 units.</span>
7 0
4 years ago
Read 2 more answers
Maddison wants to buy a guitar she starts saving $35 each month witch equation represents maddisons savings (s) after n months
Verizon [17]

Answer:

s=$35n

Step-by-step explanation:

have fun w/ this (also can I get brainiest?)

6 0
3 years ago
Can you help me find this answer<br><br>​
IRISSAK [1]

Answer:

a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.

Step-by-step explanation:

for question a, there are 18 girls in the class, this is how i worked it out:

the ratio of boys to girls is 4:3.

there are 24 boys.

24 is 6 times more than 4.

if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.

6x3= 18.

for question b i got 20 boys and 15 girls, this is how i did it.

there are 35 students in total.

4:3= boys to girls.

4+3=7

7 goes into 35 five times.

ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.

answer= 20 boys and 15 girls.

12 oranges is a better deal, this is how i worked it out.

it is 60 for 12 oranges.

it is 48 for 8 oranges.

12x5= 60 , 8x6=48.

you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.

5 0
4 years ago
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