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MA_775_DIABLO [31]

2 years ago

10

Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.

1 answer:

Anni [7]2 years ago

4 0

Answer:

25.64 in^2

Explanation:

<span><span>60360</span>⋅π<span>r2</span></span>, where <span>r=7</span>

<span>=<span>16</span>⋅3.14⋅<span>72</span>=<span>16</span>⋅3.14⋅49=25.64</span> in^2

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A 3-gallon bottle of fabric softener costs $28.92. What is the price per quart?

bixtya [17]

Answer:

$2.41

Step-by-step explanation:

There are 4 quarts in a gallon. If there are 3 gallons that means there is 12 quarts (3x4=12) You then take $28.92 and divide it by 12, which will give you 2.40833333 and on and on, you round that to $2.41. I hope that helps!

8 0

2 years ago

the total number of living humans on arth was converted to scientific notation using an online caculation and was reported to be

gogolik [260]

7.158 * 10^9 rounds to 7 * 10^9
7 * 10^9 = 7,000,000,000

6 0

2 years ago

In a line of students, Jenna is number 8.The teacher says that a rule for a number pattern is add 4. The first student inline sa

Virty [35]

Answer:

Formula for nth term in Arithmetic sequences is:

$a_n =a+(n-1)d$

where a is the first term, d is the common difference and n is the number of terms.

As per the statement:

The rule for the pattern is add 4.

As the first term in line says the first term i,e 7

$a= 7$

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

7, 11, ......... $a_8$

We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

$a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35$

Therefore, 35 number should Jenna say.

3 0

2 years ago

Read 2 more answers

LOTS OF BRAINLY POINTS HELP ASAP PLS TYSM

Sedbober [7]

Answer:

3/10

Step-by-step explanation:

So, you already have the experimental probability. The theoretical probability is 5/10, but that's not what you're lookig for.

5 0

1 year ago

I know you want to answer this question.

Alik [6]

Answer:

D. x = 3

Step-by-step explanation:

$\frac{1}{2} ^{x-4}$ - 3 = $4^{x-3}$ - 2

First, convert $4^{x-3}$ to base 2:

$4^{x-3}$ = $(2^{2})^{x-3}$

$\frac{1}{2} ^{x-4}$ - 3 = $(2^{2})^{x-3}$ - 2

Next, convert $\frac{1}{2} ^{x-4}$ to base 2:

$\frac{1}{2} ^{x-4}$ = $(2^{-1})^{x-4}$

$(2^{-1})^{x-4}$ - 3 = $(2^{2})^{x-3}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$(2^{-1})^{x-4}$ = $2^{-1*(x-4)}$

$2^{-1*(x-4)}$ - 3 = $(2^{2})^{x-3}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$(2^{2})^{x-3}$ = $2^{2(x-3)}$

$2^{-1*(x-4)}$ - 3 = $2^{2(x-3)}$ - 2

Apply exponent rule: $a^{b+c}$ = $a^{b}$ $a^{c}$ :

$2^{-1(x-4)}$ = $2^{-1x}$ * $2^{4}$ , $2^{2(x-3)}$ = $2^{2x}$ * $2^{-6}$

$2^{-1 * x}$ * $2^{4}$ - 3 = $2^{2x}$ * $2^{-6}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$2^{-1x}$ = $(2^{x})^{-1}$ , $2^{2x}$ = $(2^{x})^{2}$

$(2^{x})^{-1}$ * $2^{4}$ - 3 = $(2^{x})^{2}$ * $2^{-6}$ - 2

Rewrite the equation with $2^{x} = u$ :

$(u)^{-1}$ * $2^{4}$ - 3 = $(u)^{2}$ * $2^{-6}$ - 2

Solve $u^{-1}$ * $2^{4}$ - 3 = $u^{2}$ * $2^{-6}$ - 2:

$u^{-1}$ * $2^{4}$ - 3 = $u^{2}$ * $2^{-6}$ - 2

Refine:

$\frac{16}{u}$ - 3 = $\frac{1}{64}$ $u^{2}$ - 2

Add 3 to both sides:

$\frac{16}{u}$ - 3 + 3 = $\frac{1}{64}$ $u^{2}$ - 2 + 3

Simplify:

$\frac{16}{u}$ = $\frac{1}{64}$ $u^{2}$ + 1

Multiply by the Least Common Multiplier (64u):

$\frac{16}{u}$ * 64u = $\frac{1}{64}$ $u^{2}$ + 1 * 64u

Simplify:

$\frac{16}{u}$ * 64u = $\frac{1}{64}$ $u^{2}$ + 1 * 64u

Simplify $\frac{16}{u}$ * 64u:

1024

Simplify $\frac{1}{64}$ $u^{2}$ * 64u:

$u^{3}$

Substitute:

1024 = $u^{3}$ + 64u

Solve for u:

u = 8

Substitute back u = $2^{x}$ :

8 = $2^{x}$

Solve for x:

x = 3

4 0

3 years ago