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13) The scientific notation is        1.4354125 * 10⁸. 14) The scientific notation is        1.4354125 * 10⁻¹. 15) The scientific notation is 22366.0992. 16) The scientific notation is 1.55 * 10¹⁰.

Let's solve the given expressions and write the answers in scientific notation:

13) \((6.125*10^3) * (2.345*10^4)\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^4) = 14.354125 * 10^(3 + 4) = 14.354125 * 10^7 = 1.4354125 * 10^8\)

\(= 1.4354125 * 10^8\)

14) \((6.1258*10^3) * (2.345*10^{-4})\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^{-4}) = 14.354125 * 10^{3 - 4} = 14.354125 * 10^{-1} = 1.43541258* 10^{-1}\)

\(= 1.4354125 * 10^{-1}\)

15) \(3700.13 * (6.04*10^4)\)

To multiply a decimal number and a number in scientific notation, we simply multiply the decimal by the coefficient of the scientific notation:

3700.13 × 6.04 = 22366.0992

Since the answer does not need to be expressed in scientific notation, the result is 22366.0992.

= 22366.0992

16) \((6.2*10^4) / (0.4*10^{-5})\)

To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:

\((6.2 / 0.4) * (10^4 / 10^{-5}) \\= 15.5 * 10^{4 - (-5}) \\= 15.5 * 10^9 \\= 1.55 * 10^{10}\\= 1.55 * 10^{10}\)

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For given scenario the dependent variable would be the life of flowers.

For given question,

The variable that researchers are trying to explain or predict is called the

response variable. It is also sometimes called the dependent variable

because it depends on another variable.

The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.

The amount of sugar would be an independent variable and the life of flowers is a dependent variable.

Therefore, for given scenario the dependent variable would be the life of flowers.

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The debt-equity ratio is  0.726 : 1 or 72.64%

Debt is the product of debt ratio and total equity

Debt = debt ratio × total equity

We have been given that

Asset turnover = 1.84

Profit margin = 5.1%

Return on equity of 16.2 percent

Let we have to assume that sales are $100.

Therefore net Income = 100×0.051 = 5.1

Total Assets = 100/0.84

Total Assets = 54.35

⇒ 0.162 = 5.1 / Total equity

⇒ Total Equity = 5.1 / 0.162

⇒ Total Equity = 31.48

Total assets = Total debt + Total equity

⇒ 54.35 = Total debt + 31.48

⇒ Total debt = 54.35 - 31.48

⇒ Total debt = 22.87

The debt-equity ratio = 22.87 / 31.48

The debt-equity ratio = 0.72649 : 1 or 72.649%

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Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

Answer:

11

Step-by-step explanation:

6 times 6 is 36

Think about this you row a 1 first the possible result of the next row is 1,2,3,4,5,or 6 and that is 6 possible sums.

Which is 2, 3, 4, 5, 6, and 7

Next she rows 2 with again 6 possible results

Which is 3, 4, 5, 6, 7,and 8

Then she rows a 3, 4, 5,and 6

with the possible results

4, 5, 6, 7, 8, 9

   5, 6, 7, 8, 9, 10

       6, 7, 8, 9, 10, 11

           7, 8, 9, 10, 11, 12

They asked for different sums so out of the results the different sums is

2, 3, 4, 5, 6, 7, 8, 9, 10, 11,and 12

HOPE THIS HELPS:)

Answer:

11

Step-by-step explanation:

i just took the test lol

Answer:

Step-by-step explanation: gay

Answer:

=x2−5x+1

Step-by-step explanation:

The 98% confidence interval for a sample of size 307 with 82% successes is (0.7487, 0.8913).

To find the confidence interval for a sample of size 307 with 82% success and 98% confidence interval,

The following steps should be followed:

Step 1: Calculate the standard error of the statistic. Standard error is given by; `

se= sqrt [(p*(1-p))/n]`Where `p` is the proportion of successes and `n` is the sample size.

So, `se= sqrt [(0.82*(1-0.82))/307]

          = 0.0306`

Step 2: Calculate the z-score associated with the confidence level of 98%. We can look up the z-score from the standard normal table or use the calculator. `

z=2.33`

Step 3: Calculate the margin of error. `ME= z*se = 2.33 * 0.0306 = 0.0713`

Step 4: Calculate the confidence interval. The interval is given by;

CI = (p - ME, p + ME)`

Substitute the values, CI = `(0.82 - 0.0713, 0.82 + 0.0713)

                                         = (0.7487, 0.8913)`

Therefore, the 98% confidence interval for a sample of size 307 with 82% successes is (0.7487, 0.8913).

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Answer:

i smell penys

Step-by-step explanation:

Therefore the polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written in the form: ax^3 + bx^2 + cx + d = x^3 - 2x^2 + 4x - 6 where a = 1, b = -2, c = 4, and d = -2

The polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written as:

ax^3 + bx^2 + cx + d = (x - 2)(x^2 + 1) - x(x - 3)

To find the values of a, b, c, and d, we need to multiply out the binomials and combine like terms. Using the distributive property, we get:

ax^3 + bx^2 + cx + d = x^3 - 2x^2 + x^2 + x - x^2 + 3x - 2

Now we can combine like terms:

ax^3 + bx^2 + cx + d = x^3 - 2x^2 + 4x - 2

So we can see that:

a = 1, b = -2, c = 4, and d = -2

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Using the four-step process,  f'(1) = 10, f'(2) = 12, and f'(3) = 14.

To identify f'(x), the derivative of f(x), using the four-step process, we can follow these steps:

1: Identify the function.
The given function is f(x) = x^2 + 8x - 6.

2: Apply the power rule.
Differentiate each term of the function separately.
The derivative of x^2 is 2x.
The derivative of 8x is 8.
The derivative of -6 is 0 (constant term).

3: Simplify.
Combine the derivatives obtained in step 2.
So, f'(x) = 2x + 8.

4: Evaluate f'(1), f'(2), and f'(3).
Substitute x = 1, 2, and 3 into the derived equation to identify the respective values.
f'(1) = 2(1) + 8 = 10.
f'(2) = 2(2) + 8 = 12.
f'(3) = 2(3) + 8 = 14.

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Answer:

m<y= 34

Step-by-step explanation...

6x-23=4x+9

2x=32

x=16

m<y+m<z=180

m<y=73+73=180

m<y=34

An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.

The sum of the three angles is equal to 180 degrees.

The value of angle m∠Y is 34°.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

Two sides are equal.

The angles opposite to the equal sides are also equal.

So,

From the figure we have,

6x - 23 = 4x + 9

Add 23 on both sides.

6x - 23 + 23 = 4x + 9 + 23

6x = 4x + 32

Subtract 4x on both sides.

6x - 4x = 4x + 32 - 4x

2x = 32

Divide both sides by 2.

x = 32/2

x = 16

The sum of the three angles of the Isosceles triangle given must be 180 degrees.

6x - 23 + 4x + 9 + m∠Y = 180

Put x = 16

6x16 - 23 + 4x16 + 9 + m∠Y = 180

96 - 23 + 64 + 9 + m∠Y = 180

146 + m∠Y = 180

Subtract 146 on both sides.

m∠Y = 180 - 146

m∠Y = 34

Thus,

The value of angle m∠Y is 34°.

Option B is the correct answer.

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Answer:

(i) The value of m when t = 30 is 13.2

(ii) The value of t when the mass is half of its value at t=0 is 34.7

(iii) The rate of the mass when t=50 is -0.18            

Step-by-step explanation:

(i) The m value when t = 30 is:

\( m = 24e^{-0.02t} = 24e^{-0.02*30} = 13.2 \)

Then, the value of m when t = 30 is 13.2

(ii) The value of the mass when t=0 is:

\( m_{0} = 24e^{-0.02t} = 24e^{-0.02*0} = 24 \)    

Now, the value of t is:

\( ln(\frac{m_{0}/2}{24}) = -0.02t \)

\( t = -\frac{ln(\frac{24}{2*24})}{0.02} = 34.7 \)

Hence, the value of t when the mass is half of its value at t=0 is 34.7

(iii) Finally, the rate at which the mass is decreasing when t=50 is:

\( \frac{dm}{dt} = \frac{d}{dt}(24e^{-0.02t}) = 24(e^{-0.02t})*(-0.02) = -0.48*                            (e^{-0.02*50}) = -0.18 \)

Therefore, the rate of the mass when t=50 is -0.18.

I hope it helps you!                  

Answer:

i.e. mass of 1 mole of glucose, C6H12O6 = (6 × 12.01 + 12 × 1.01 + 6 × 16.00) g = 180.18 g (using atomic weight data to 2 decimals) 1 mole of carbon atoms weighs 12.01 g and there are 6 moles of C atoms in 1 mole of glucose, so the mass of carbon in 1 mole of glucose = 6 × 12.01 g = 72.06 g.

Step-by-step explanation:

Answer:

-8f

Step-by-step explanation:

Answer:

multiply the number its self 3 times , for example 3x3x3=27 = 3^3

Step-by-step explanation:

Answer:

you have to multiply the number by itself 3 times

Step-by-step explanation:

can i get brainliest? i only need 2 more

Answer:

The solution to the system of equation is;

Explanation:

Given the system of equations;

Let us solve by elimination, multiply equation 2 by 2 and add to equation 1 to eliminate y;

adding to equation 1;

we can now use the value of r to solve for y;

Therefore, the solution to the system of equation is;

The final polynomial equation after synthetic division is \(x^5-3x^4-81x+243\)

We need to solve;

Put the solution in the appropriate spot on the grid after using synthetic division to divide the following polynomial. Respond with descending powers of x.

The polynomial equation given is;

\(\left(x^4-81\right)\left(x-3\right)\)

By using synthetic division;

⇒ \(x^4x+x^4\left(-3\right)-81x-81\left(-3\right)\)

    \(x^5-3x^4-81x+243\)

→ The required final equation in descending powers of x is \(x^5-3x^4-81x+243\) .

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Answer:

A) 20 degrees

Step-by-step explanation:

The sine of an angle is equal to the cosine of the angles complimentary angle.

The distance from a point on a circle to its center is called the radius, and it plays a crucial role in defining the circle's characteristics.

The distance from a point on a circle to its center is the radius of the circle.

1. In a circle, the radius is the distance from the center to any point on the circle.
2. The radius is always the same length, no matter which point on the circle is chosen.
3. It is an essential property of a circle and helps determine the size and shape of the circle.

In conclusion, the distance from a point on a circle to its center is called the radius, and it plays a crucial role in defining the circle's characteristics.

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Answer:

80 degrees

Step-by-step explanation:

180 - 100 = 80

Answer:

The first option, (x-3)^2 + (y+4)^2 = 1

Step-by-step explanation:

The circle formula for graphing is (x-h)^2 + (y-v)^2 = r^2 with the center of the circle being (h,v) and the radius being r. With that said, we just plug in the values we see on the graph, which is h = 3, v = -4, and r = 1. Once we do some simplifying, we would get the equation of (x-3)^2 + (y+4)^2 = 1, which is the first option!

I hope this helped! :D

Answer:

The opposite of multiplication is division. The opposite of division is multiplication. The opposite of taking a square root is squaring

Step-by-step explanation:

Answer:

If y varies directly as x, then we can express this relationship using a proportionality constant k, such that:

y = kx

To solve for k, we can use the initial condition given:

y = 21 when x = 3

Substituting these values into the equation above, we get:

21 = k * 3

Solving for k, we get:

k = 7

Now that we have k, we can use the equation to find y when x = 2:

y = kx

y = 7 * 2

y = 14

Therefore, when x = 2, y = 14.

Step-by-step explanation:

Akeem can run 100 meters in 12.4 seconds. It would take  37.2 seconds for Akeem to run 300 meters at that speed.

If Akeem runs 100 meters in 12.4 seconds, we can set up a proportion to find the time it would take for him to run 300 meters. The proportion can be set up as follows:

100 meters / 12.4 seconds = 300 meters / x seconds

By cross-multiplying and solving for x, we can determine the value of x, which represents the time it would take for Akeem to run 300 meters at the same speed.

Now, let's solve the proportion:

100 * x = 12.4 * 300

x = (12.4 * 300) / 100

x = 37.2 seconds

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The equation x² + 81 = (x + 10)² is equivalent to \(\sqrt{x^2 + 81} = x + 10\)

The equation is given as:

\(\sqrt{x^2 + 81} = x + 10\)

Square both sides

x² + 81 = (x + 10)²

Although it can be further simplified, the above equation is equivalent to \(\sqrt{x^2 + 81} = x + 10\)

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Answer:

Step-by-step explanation:

2100 - 1900 =  200

660(200) + 14,400

p = 146400

146,400 people

The answer is B

350 cheerleaders. the rate 5:7 is how many do a back tuck. soo the rate 5:7 is the same as 350:490 simplify is 35:49 simplifyed by 7 to 5:7 a

Step-by-step explanation:

the ratio is 5:7 for how many do a back tuck.

soo the rate 5:7 is the same as 350:490 // 35:49 // 5:7. hope that helps!!

The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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