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Liula [17]
3 years ago
14

Please help image below

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

56 - 9π

Step-by-step explanation:

To find the area of the shaded region, you must find the area of the rectangle then subtract the area of the circle inside.

Area of the Rectangle: length x width

8*7=56

Area of the circle: πr^2

π*3^2 = 9π

Area of shaded region = 56 - 9π

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2^2x+2 *5^x-1=8^x*5^2x
Liula [17]

Answer:

The solution will be "x = 2 and x = -1".

Step-by-step explanation:

The given equation is:

⇒  2^{2x+2}\times 5^{x-1}=8^x\times 5^{2x}

On solving "8^x", we get

⇒  2^{2x+2}\times 5^{x-1}=(2^3)^x\times 5^{2x}

As we know, if the base are same then their powers will be added together.

⇒  2x+2=3x ...(equation 1)

⇒  x-1=2x ...(equation 2)

From equation 1, we get

⇒  2=3x-2x

⇒  2=x \ i.e., x =2

From equation 2, we get

⇒  -1=2x-x

⇒  -1=x \ i.e., x=-1

So that the correct answer will be "x = 2" and "x = -1".

7 0
3 years ago
Identify each sequence as arithmetic or geometric. Explain your answer, and write an explicit formula for the
hammer [34]

Answer:

Arithmetic sequence

a_n=\frac{1}{2}-n for n\geq 1

Step-by-step explanation:

We are given that a sequence

-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},-\frac{7}{2},...

We have to identify the sequence as arithmetic or geometric and write an explicit formula .

a_1=-\frac{1}{2}

a_2=-\frac{3}{2}

a_3=-\frac{5}{2}

a_4=-\frac{7}{2}

d_1=a_2-a_1=\frac{-3}{2}+\frac{1}{2}=-1

d_2=a_3-a_2=-\frac{5}{2}+\frac{3}{2}=-1

d_1=d_2=-1

When the difference of consecutive terms is constant then the sequence is an arithmetic.

Hence, the sequence is an arithmetic.

a_n=a+(n-1)d

a_n=-\frac{1}{2}+(n-1)(-1)=-\frac{1}{2}-n+1=\frac{1}{2}-n for n\geq 1

3 0
3 years ago
How is the function related to its parent function? Graph the function by translating the parent function.
AleksAgata [21]

y = x² is the parent function.

This is a parabola, with minimum turning point at (0, 0 ) and axis of symmetry the y- axis

y = x² - 5

is the graph of x² translated  5 units vertically down ( indicated by - 5 )

with minimum turning point at (0, - 5 )




8 0
3 years ago
Select all numbers that are solutions to the inequality w < 1.
monitta

Answer:

I know it’s going to be -5 and -1.3 but I’m not sure about the zero I don’t know if you count zeros to but please let me know.

3 0
3 years ago
Read 2 more answers
A hospital stores one type of medicine in 2-decagram
Aleks04 [339]

Answer:

There are 20,000 milligrams in one 2-decagram container . Thus option D is correct.

Step-by-step explanation:

The given information is one type of medicine in 2 decagram container.

Here, we know ,

      1 decagram = 10 grams

and, 1000 milligrams =1 gram

now -: 2 decagram = 2 × 10grams   {since 1decagarm = 10 grams }

                               = 20 grams .

then ,                   = 20× 1000milligrams {since 1 gram = 1000 milligrams}

                           =20,000 milligrams .

Hence, the correct option is D that is 20,000 milligrams .

4 0
4 years ago
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