Write as a fraction 7^-2

Answers

Answer 1

Answer: Answer: $(1)/(49)$ , or ~0.02040816326

1. Use formula:
$a^(-m) = (1)/(a^(m))$

2. Replace values:

So the answer is $(1)/(49)$ , or 0.020408163264… (~0.02041)

I know this may not interest you but i got something special with fraction $(1)/(49)$ . If you divide it in score you get sequence of powers of 2:

0.020408163264..

(02) is power of 2
(04) also
(08) also
(16) also
(32) also
(64) also

Hope this helps!

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The sum of two integers is -1. the product of the integers is -72 find the integers.

Answers

$\left\{\begin{array}{ccc}x+y=-1\nx\ *\ y=-72\end{array}\right\n\left\{\begin{array}{ccc}x=-y-1\nx\ *\ y=-72\end{array}\right\n\nsunbstitute:\n\n(-y-1)y=-72\n-y^3-y+72=0\n\na=-1;\ b=-1;\ c=72\n\Delta=b^2-4ac\to\Delta=(-1)^2-4\cdot(-1)\cdot72=1+288=289\n\ny_1=(-b-\sqrt\Delta)/(2a)\to y_1=(1-√(289))/(2\cdot(-1))=(1-17)/(-2)=(-16)/(-2)=8\n\ny_2=(-b+\sqrt\Delta)/(2a)\to y_2=(1+√(289))/(2\cdot(-1))=(1+17)/(-2)=(18)/(-2)=-9$

$if\ y=8\ then\ x=-8-1=-9\n\nif\ y=-9\ then\ x=-(-9)-1=9-1=8\n\nAnswer:8\ and\ -9.$

Answer:

the answer is 8 and -9

Step-by-step explanation:

hope this helps

I need help for this math question

Answers

Answer:

Step-by-step explanation:

There are 150 students in grade 8

Write the ratio of grade 8 students in its lowest terms

Find the value
is the the correct answer

Answers

10^4 = (10)(10)(10)(10) = 10,000

The nth term of a sequence is 3n+5 to the 6th terms sequence

Answers

Answer:

Hey!

The 6th term of your sequence is 23!

Step-by-step explanation:

This is how you get it...

1) T6=3n+5 (the 6th term and the equation...)

2. We now do T6=3(6)+5 (3 x 6 then add 5)

3. In other words... T6=18+5

4. We work it out 18 + 5 = 23

HOPE THIS HELPS!!

Expand and simplify. (x+4)squared

Answers

The quadratic expression (x+4)² = x² + 8x + 16.

The given expression is,

(x+4)²

The expression (x+4)² represents a mathematical operation called "squaring."

To expand it, we need to multiply the expression by itself.

So, (x+4)² becomes (x+4) * (x+4).

When we multiply these terms, we apply the distributive property and combine like terms.

After simplifying, we get x² + 8x + 16.

Or we can directly use the identity,

(a+b)² = a² + b² + 2ab

Here a = x and b = 4

(x+4)² = x² + 4² + 8x

Hence,

(x+4)² = x² + 8x + 16

To learn more about quadratic equation visit:

brainly.com/question/30098550

#SPJ6

(x+4)²= (x+4)×(x+4)

Use the FOIL method to simplify

F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)

x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16

Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x

Final expression= x² + 8x + 16

It rained 0.6 inches on Monday on Tuesday it rained 0.2 inches less than Monday how much did it rain on Tuesday?

Answers

If it is 0.2 inches less, just subtract.

0.6 - 0.2 = 0.4

Answer:

0.4

Step-by-step explanation:

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If amanda hikes at an average speed of 2.72 miles per hour, how long will it take her to hike 6.8 miles

Slope = -4, passing through (7, 4)

Two towns A and B are 12.0 mi apart and are located 5.0 and 3.0 mi, respectively, from a long, straight highway. A construction company has a crontract to build a road from A to the highway nad then to B. Analyze a model to determine the length to the nearest tenth of a mile of the shortest road that meets these requirements