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Nikitich [7]
3 years ago
7

Which decimal is equivalent to 8/15

Mathematics
2 answers:
ANTONII [103]3 years ago
6 0
I think it's 0.53 or 53....one or the two. ;)
earnstyle [38]3 years ago
4 0
It is 5.33 repeating
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Which expression represents the sixth term in the binomial expansion of (2a - 3b)10?
Ksenya-84 [330]

<u>Answer</u>

2,737,152a⁵b⁵


<u>Explanation</u>

(2a - 3b)¹⁰ = (2a)¹⁰ - 10(2a)⁹(3b) + 47(2a)⁸(3b)² - 144(2a)⁷(3b)³ - 212(2a)⁶(3b)⁴ + 352(2a)⁵(3b)⁵

The 6th term in this expression is 352(2a)⁵(3b)⁵

352(2a)⁵(3b)⁵ = 352 × 2⁵a⁵ × 3⁵b⁵

                         = 352 × 32 ×243 ×a⁵b⁵

                         = 2,737,152a⁵b⁵

8 0
3 years ago
Read 2 more answers
A beaker contains 578mL of water what os the volume in quarts
dangina [55]
1 equal 29.5735296mL
4 0
3 years ago
What is the equation of a line that passes theough the points (-3,4) and (2,8)?​
Salsk061 [2.6K]
<h3><u>Explanation</u></h3>
  • Find the slope by using rise over run with two given coordinate points.

\begin{cases} (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(2,8) \end{cases} \\ m =  \frac{y_2 - y_1}{x_2 - x_1}

  • Substitute the coordinate values in.

m =  \frac{8 - 4}{2 - ( - 3)}  \\ m =  \frac{4}{2 + 3}  \Longrightarrow \frac{4}{5}

We have got the value of slope. Substitute in the slope-intercept form.

  • Slope-Intercept

y = mx + b \\  \sf{m = slope}\\  \sf{b = y - intercept}

Substitute and Rewrite the equation.

y =  \frac{4}{5} x + b

  • Find the y-intercept or the value of b by substituting any given coordinate points.

I will substitute (2,8) in.

y =  \frac{4}{5} x + b \Longrightarrow \sf \small{Substitute \: \: the \:  \: coordinate \:  \: points \:  \: in \:  \: the \:  \: equation}

8 =  \frac{4}{5} (2) + b \\ 8 =  \frac{8}{5} + b \\ 40 = 8 + 5b \\ 40 - 8 = 5b \\ 32 = 5b \\  \frac{32}{5}  = b

Rewrite the equation by substituting the value of b.

y =  \frac{4}{5} x +  \frac{32}{5}

<h3><u>Answer</u></h3>

<u>\large \boxed{y =  \frac{4}{5} x +  \frac{32}{5} }</u>

4 0
2 years ago
10. Sarah finances $549,000 with a 30/6 balloon mortgage at 5.35%. How much will she pay for principal and interest over the lif
topjm [15]

Answer:

$717,393.12

Step-by-step explanation:

The 30/6 balloon mortgage means that she would make monthly payments for the first six years, while the balance outstanding after 6 years is paid by making one large payment.

The 30 implies that monthly payment should be computed on the basis it is a 30-year mortgage.

Loan amount=monthly payment*(1-(1+r)^-n/r

loan amount=$549,000

monthly payment=the unknown

r=monthly interest rate=5.35%/12=0.004458333

n=number of monthly payments in 30 years=30*12=360

549000=monthly payment*(1-(1+0.004458333)^-360/0.004458333

549000=monthly payment*(1-0.201607475)/0.004458333

549000=monthly payment*0.798392525/0.004458333

monthly payment=549000*0.004458333/0.798392525=$ 3,065.69

Total monthly payments for6 years=$ 3,065.69*12*6=$220,729.68

The ballon payment is the present value of monthly payments for 24 years remaining

Financial calculator:

N=288(24*12)

PMT=3065,69(monthly payment)

I/Y=5.35/12(monthly interest rate)

FV=0(balance after payments is nil)

CPT PV=$496,663.41    

Total payments=$496,663.41  +$220,729.68=$717,393.09  

6 0
2 years ago
Help me out here.........
Naya [18.7K]

Answer:

G. 10.5 pounds

Step-by-step explanation:

96 oz + 72 oz = 168 oz

There are 16 oz in one pound

168 oz / 16 oz = 10.5 pounds.

Please be sure to mark this as brainliest if it helpd you!

4 0
2 years ago
Read 2 more answers
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