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3 years ago

12

Best anwser gets brain thank you show work

1 answer:

olga55 [171]3 years ago

8 0

Answer: 1.567 × 10⁹

Step-by-step explanation:

1.6 × 10⁹ = 1.6 × 1000000000 = 1,600,000,000

3.3 × 10⁷ = 3.3 × 10000000 = 33,000,000

1,600,000,000 - 33,000,000 = 1,567,000,000

10⁹ = 1,000,000,000

1.567 × 1,000,000,000 = 1,567,000,000

Hope this helps!

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Determine the exact solution to the following in radians.

Sloan [31]

3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 = $\pi$ /6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7 $\pi$ /6
360-3=330 = 11 $\pi$ /6

3 0

2 years ago

The value V of a Porsche 718 Cayman that is t years old can be modeled by V(t) = 420,000(0.965)t (a) What would be worth the car

nordsb [41]

Answer:

<u>A. V (2) = $ 391,114.50</u>

<u>B. t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days </u>

Step-by-step explanation:

Given formula:

V(t) = 420,000 * (0.965)^t

A. What would be worth the car′s worth in 2 years?

V(t) = 420,000 * (0.965)^t

We replace t by 2, as follows:

V(2) = 420,000 * (0.965)²

V(2) = 420,000 * 0.931225

<u>V (2) = $ 391,114.50</u>

B. In how many years will the car be worth $325,000?

V(t) = 420,000 * (0.965)^t

We replace V(t) by 325,000, as follows:

325,000 = 420,000 * (0.965)^t

325,000/420,000 = (0.965)^t

0.77381 = (0.965)^t

t = log 0.965(0.7738)

t = log 0.7738/log 0.965

<u>t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days </u>

0.2 years = 0.2 * 12 = 2.4 months

0.4 months = 0.4 * 30 = 12 days

7 0

2 years ago

At lunchtime, a cafeteria served a total of 3/8 of a pot of chicken soup and 7/8 of a pot of

Effectus [21]

Answer:

1 1/4

reason:

add 7/8 and 3/8 to get 10/8
this can be simplified to 1 2/8
simplify 2/8 to 1/4 to get the final answer, 1 1/4

7 0

3 years ago

Read 2 more answers

APQR is inscribed in a circle with P=60, Q = 80, and R = 40. What are the measures of PQ, QR, and PR?

Sergeeva-Olga [200]

Answer:

PQ:80

QR:160

PR:120

Step-by-step explanation:

$PQ=2x$ ∠ $R$

$=2$ × $40$

= $80$

$QR=2$ × $m$ ∠ $p$

$=20$ × $80$

$=160$

$PR=2$ × $m$ ∠ $Q$

= $2$ × $60\\$

= $120$

<em>hope it helps </em>

<em>have a great day!!</em>

5 0

2 years ago

Factorize 2a^2+7a-15

loris [4]

$\huge\bf \pink {\underline{Solution :-}}$

$2 {a}^{2} + 7a - 15$

$= 2 {a}^{2} + 10a - 3a - 15$

$= 2a(a + 5) - 3(a + 5)$

$= (a + 5)(2a - 3)$

$\sf \red{Hence, Answer \: is \: (a + 5)(2a - 3).}$

$\\$

$\bf \purple{ \underline{ Important \: Formulas \: for \: Factorization :-}}$

$• \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2}$

$• \: (a + b)(a - b) = {a}^{2} - {b}^{2}$

$• \: {a}^{2} - 2 ab + {b}^{2} = {(a - b)}^{2}$

$• \: {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3}$

$• \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{3}$

$• \: {(a + b)}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2} )$

$• \: {(a + b)}^{2} - {(a - b)}^{2} = 4ab$

$• \: (a + b)( {a}^{2} -ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

$• \: (a - b)( {a}^{2} + ab + {b}^{2} ) = {a}^{3} - {b}^{3}$

$• \: {( \frac{a + b}{2} )}^{2} - ( {\frac{a - b}{2} } )^{2} = ab$

5 0

3 years ago

Read 2 more answers