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2 years ago

Rui is a professional deep water free diver.

Mathematics

2 answers:

mezya [45]2 years ago

8 0

Answer:

10 took khan

Step-by-step explanation:

Arada [10]2 years ago

5 0

Answer:

Rui will reach his lowest altitude after diving for 10 seconds

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where

h = $\frac{-b}{2a}$ and k = y at x = h

In the given question

∵ d(x) = $\frac{1}{2}$ x² - 10 x

∵ d represents his altitude in meters after x seconds

→ Compare it with the form above to find a and b

∴ a = $\frac{1}{2}$ and b = -10

∵ h = $\frac{-b}{2a}$

→ Substitute the values of a and b in the rule to find h

∴ h = $\frac{--10}{2.\frac{1}{2}}$ = 10

∴ h = 10

∵ h is the x-coordinate of the lowest point

∴ The time of the lowest altitude is 10 seconds

∴ Rui will reach his lowest altitude after diving for 10 seconds

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Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account pay

LenaWriter [7]

Answer:

$5564.87

Step-by-step explanation:

We are to determine the difference between the future values of each investment

The formula for calculating future value:

FV = P (1 + r)^mn

FV = Future value

P = Present value

R = interest rate

N = number of years

m = number of compounding

Madeline

P = Present value = 51,000

R = interest rate = 0.06125 / 365 = 0.000168

N = number of years = 13

m = number of compounding = 365

51,000 x (1.000168)^4745 = 113,070.20

Harper

51,000 x (1.004792)^156 = 107,505.33

Difference = 113,070.20 - 107,505.33 = $5,564.87

6 0

3 years ago

Read 2 more answers

14(0.89)^x+4.5 =162

lisabon 2012 [21]

$14(0.89)^{x + 4.5} = 162$
$\frac{14(0.89)^{x + 4.5}}{14} = \frac{162}{14}$
$0.89^{x + 4.5} = 11\frac{4}{7}$
$ln(0.89^{x + 4.5}) = ln(11\frac{4}{7})$
$(x + 4.5)ln(0.89) = ln(11\frac{4}{7})$
$\frac{(x + 4.5)ln(0.89)}{ln(0.89)} = \frac{ln(11\frac{4}{7})}{ln(0.89)}$
$x + 4.5 = -2101.14032500$
$x = 2105.64032500$

3 0

3 years ago

Santo paid $16.25 to buy 5 children tickets and 1 adult ticket. Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets.

jenyasd209 [6]

Answer:

The price of an adult ticket it $5

Step-by-step explanation:

To solve this, we would find the system of equations. We would set up two equations that will represent the situation.

Let c = price per children ticket

Let a = price per adult ticket

Santo:

5c + 1a = 16.25

Hulda:

4c + 3a = 24

5c + 1a = 16.25 -> a = 16.25 - 5c

4c + 3a = 24

4c + 3(16.25 - 5c) = 24

4c + 48.75 - 15c = 24

-11c + 48.75 = 24

-48.75 -48.75

-11c = -24.75

/-11 /-11

c = 2.25

5c + a = 16.25

5(2.25) + a = 16.25

11.25 + a = 16.25

-11.25 -11.25

a = 5

a = $5 , c = $2.25

5 0

3 years ago

Read 2 more answers

At a fish market, a pound of salmon costs $12 and a pound of shrimp costs $18. Mrs. Donnelly wants to buy 2 1/3 pounds of salmon

Semmy [17]

Answer:

Yes and she would have $2 left over because all the food costs $91.

Step-by-step explanation:

We should set up an equation so that everything makes sense. A calculator would be wise for this problem, but I am going to lay it out anyhow.

We should convert the mixed numbers to improper fractions to not be confused. 3 1/2 becomes 7/2 or 3.5 and 2 1/3 becomes 7/3.

From your wording, we can assume that the money Mrs. Donnelly has is either greater than or equal to $93.

Thus, we have 12*(7/3) + 18*(7/3) is equal to or greater than 93 (this is an inequality).

The math shows that the food costed 91 and so she only has $2 left.

7 0

3 years ago

Please help ill give brainliest I need this answer

Sholpan [36]

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

6 0

3 years ago

Read 2 more answers