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Vsevolod [243]
3 years ago
8

Simplify the expression.

a1" title=" \frac{4^{2} }{4^5} } " alt=" \frac{4^{2} }{4^5} } " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Illusion [34]3 years ago
8 0
4^{2-5}  =  4^{-3}  =  \frac{1}{ 4^{3} }
Hunter-Best [27]3 years ago
6 0
16/1024 hope this helps!!!!!
comment for a description
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Use completing the square to solve the equation x2 - 10x = -8.
Kay [80]

Answer:

x^2 - 10x + 25 = 17

Step-by-step explanation:

Please use " ^ " to denote exponentation:

x^2 - 10x = -8

x^2 - 10x + 25 = 17

x^2 - 10x + 25 = -8

x^2 - 10x - 25 = -33

Begin with x^2 - 10x = -8.  Here's the process for completing the square:

1.  Take half of the coefficient of x and square the result:

    (1/2)(-10) = -5, and then (-5)^2 = + 25

2.  Add this 25 to the first two terms of x^2 - 10x = -8 and also to the      constant -8:    x^2 - 10x + 25 = -8 + 25, or     x^2 - 10x + 25 = 17

3.  Match this result to one of the given possible answers.  Turns out that the given possible answer matching our result is the first one:

x^2 - 10x + 25 = 17

     

7 0
3 years ago
Find f(2) if f(x)= (x +1)^2
Drupady [299]

Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

6 0
2 years ago
Read 2 more answers
A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which e
kirill115 [55]

We can use the arc length formula to solve this.

Arc length = \frac{q}{360}*2\pi r

Given arc length is 7 and radius is 5, we can plug in the values and solve for q.

7=\frac{q}{360}*2\pi (5)\\7=\frac{q}{360}*10\pi \\7=\frac{10\pi q}{360}\\7=\frac{\pi q}{36}\\7*36=\pi q\\252=\pi q\\q=\frac{252}{\pi}\\q=80.21


ANSWER:

We can use the equation 7=\frac{q}{360}*2\pi (5) to find the value of q. And, the value of q is 80.21°.


3 0
3 years ago
Read 2 more answers
Flying against the wind, a jet travels 4400mi in 8 hours. Flying with the wind, the same jet travels 5820mi in 6 hours. What is
Anna [14]
<span>distance=6390km; time=9 hrs; rate=710kph
With the wind Data:
distance=5150km; time=5hrs; rate=1030kph
EQUATIONS:

airspeed+jetstream=1030
airspeed-jetstream=710
Subtract these equations to get:
2jetstream=320kph
jetstream=160mph </span>
5 0
3 years ago
Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is
Arturiano [62]

Given:

The total cost of the order is

T=6b+2w

where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.

Her budget is $85.

To find:

The constraints, so that she can order a maximum of washcloths or bath towels.

Solution:

We have,

T=6b+2w

Her budget is $85. So, total cost is less than or equal to 85.

6b+2w\leq 85       ...(i)

For maximum number of bath towels, the number of wash cloths is 0.

6b+2(0)\leq 85

6b\leq 85

Divide both sides by 6.

b\leq \dfrac{85}{6}

b\leq 14.167

For maximum number of wash cloths, the number of bath towels is 0.

6(0)+2w\leq 85

2w\leq 85

Divide both sides by 2.

w\leq \dfrac{85}{2}

w\leq 42.5

Therefore, the required constraints for maximum of washcloths or bath towels are w\leq 42.5 and b\leq 14.167 respectively.

3 0
4 years ago
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