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zmey [24]
3 years ago
8

2(y - 2) = 20" alt="5y( y + 3) - 2(y - 2) = 20" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

5y^2+15y-2y+4=20

5y^2-13y+4=20

5y^2-13y+4-20=0

5y^2-13y-16=0

This equation is in standard form: ax^2+bx+c=0. Substitute 5 for a, 13 for b, and −16 for c in the quadratic formula.

Alecsey [184]3 years ago
4 0

Answer:

y =  \frac{ - 13 -  \sqrt{489} }{10}

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Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours
Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

\frac{\mathrm{d}  h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10  \right )}{\mathrm{d} t} = 0

\frac{\mathrm{d}  h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}

\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0
2 years ago
Jun plans to cover his patio with the dimensions shown below in bricks. Each case of bricks covers 12 square feet. How many case
mash [69]

Answer:

30 with extra

Step-by-step explanation:

It would be 29 and a little more but she would need 30 and have leftovers.

7 0
2 years ago
Read 2 more answers
What temperature is 15 degrees lower than 7 degrees Celsius?
natali 33 [55]
Subtract 15 from 7 and you get -8 So the answer is -8 degre C
3 0
3 years ago
How much would $900 be worth after 13 years, if it were invested at 3% interest compounded continuously? (Use the formula below
liberstina [14]

Answer:

$351.00

Step-by-step explanation:


P is the principal amount, $900.00.

r is the interest rate, 3.00% per year, or in decimal form, 3.00/100=0.03.

t is the time involved, 13....year time periods.

So, t is 13....year time periods.

To find the simple interest, we multiply 900 × 0.03 × 13 to get the the answer.

Cheers mate!

3 0
3 years ago
on Saturday nikki and tyler walked to the local farmers market nikki bout 8 apples for $6 dollars and tyler brought 3 fewer appl
erica [24]

On Saturday Nikki and Tyler walked to the local farmers market Nikki bought 8 apples for $6 dollars and Tyler brought 3 fewer apples than Nikki. How much did Tyler spend on apples?​

Tyler brought 8 apples - 3 apples = 5 apples.​

​To calculate the price of 5 apples we have to establish a proportion :

If 8 apples cost $6​

Then 5 apples will cost $X​

​X = 5apples * $6/8apples = $3.75

​Answer : Tyler spent on apples $3.75

​Hope this helps!​​​​

\textit{\textbf{Spymore}}​​​​​​​

4 0
2 years ago
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