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olga2289 [7]
2 years ago
10

Ty had 10 eggs. He made 4 servings of scrambled eggs. He used n eggs for each serving.

Mathematics
1 answer:
Rzqust [24]2 years ago
6 0

10-4n=x

Hope this helps.

Brainliest would help me as well.

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Find the number a such that the line x = a bisects the area under the curve y = 1/x2 for 1 ≤ x ≤ 4. 8 5​ (b) find the number b s
IceJOKER [234]

a. We're looking for a such that

\displaystyle\int_1^a\frac{\mathrm dx}{x^2}=\int_a^4\frac{\mathrm dx}{x^2}

-\dfrac1x\bigg|_{x=1}^{x=a}=-\dfrac1x\bigg|_{x=a}^{x=4}

1-\dfrac1a=\dfrac1a-\dfrac14

\dfrac54=\dfrac2a\implies\boxed{a=\dfrac85}

b. Integrating with respect to y will make things easier.

y=\dfrac1{x^2}\implies x=\dfrac1{\sqrt y}

(where we take the positive square root because we know x>0)

Now we want to find b such that

\displaystyle\int_0^b\frac{\mathrm dy}{\sqrt y}=\int_b^1\frac{\mathrm dy}{\sqrt y}

2\sqrt y\bigg|_{y=0}^{y=b}=2\sqrt y\bigg|_{y=b}^{b=1}

2\sqrt b=2-2\sqrt b

4\sqrt b=2\implies\boxed{b=\dfrac14}

3 0
1 year ago
A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to t
timofeeve [1]

Answer:

0

Step-by-step explanation:

Given that :

Initial Position of dive ring = 10 feets below the water surface = - 10 feets

Final position of dive ring = water surface

Distance moved to arrive at final position:

0 - (-10) = 0 + 10 = 10 feets

Hence, final position with respect to the surface of water :

Initial Position + distance moved

-10 feets + 10 feets

Hence, the final position = 0, with respect to the surface of water.

6 0
2 years ago
The number of bacteria in a petri dish on the first day was 113 cells. If the number of bacteria increase at a rate of 82% per d
Tresset [83]

Answer:

4107 cells

Step-by-step explanation:

From the question, we have the following values:

Day 1 : 113 cells

Number of cells increases by day by 82%

Hence,

Day 2

113 × 82% = 92.66cells

Hence, Total number of bacteria cells for Day 2 = 113 + 92.66 = 205.66cells

Day 3

205.66 × 82% = 168.6412 cells

Hence, Total number of bacteria cells for Day 3 = 168.6412 + 205.66 = 374.3012 cells

Day 4

374.3012 × 82% = 306.926984 cells

Hence, Total number of bacteria cells for Day 4 = 306.926984 + 374.3012 = 681.228184 cells

Day 5

681.228184 × 82% = 558.60711088 cells

Hence, Total number of bacteria cells for Day 5 = 558.60711088 + 681.228184 = 1239.8352949 cells

Day 6

1239.8352949 × 82% = 1016.6649418 cells

Hence, Total number of bacteria cells for Day 5 = 1016.6649418 + 1239.8352949 = 2256.5002367 cells

Day 7

2256.5002367 × 82% = 1850.3301941 cells

Hence, Total number of bacteria cells for Day 7 = 1850.3301941 + 2256.5002367 = 4106.8304308 cells

Approximately to nearest whole number, the total number of bacteria cells that would be present after 7 days = 4107 cells

3 0
1 year ago
A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how
sweet [91]

Answer:

4.9 years

Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

Future value = $12,600

To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

r = interest rate = 5.75%

n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

1.3263 = 1.014375^n

Log 1.3263 = n log 1.014375

n = Log 1.3263 / log 1.014375

n = 19.7856 Quarters

n = 4.9 years

6 0
2 years ago
Which is the graph of the linear inequality y < 3x + 1? On a coordinate plane, a solid straight line has a positive slope and
stepan [7]

For this case we have the following inequality: y < 3x + 1 < br/ >

What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.

The shaded region represents the solution of the system of equations.

For the point (0, 0) we have:

0 < 3(0) + 1 < br / >

0 < 0 + 1 < br / >

0 < 1 < br / >

Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.

Then, the points that are on the line, are not part of the solution because the sign is of less strict.

Hope I helped ~~Laurel

6 0
1 year ago
Read 2 more answers
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