I’m stuck I need HELP ,please !!

Answer:

b) -9.9

Step-by-step explanation:

since its a negative its automatically smaller than any whole

hope this helps plz give brainliest

As per the details given, the sequence 2, 5, 8, …, 332 has 111 terms.

The formula for the nth term of an arithmetic series can be used to find the number of terms in the given sequence:

nth term = a + (n - 1) * d

Here,

nth term is the value of the term at position n

a is the first term of the sequence

n is the position of the term

d is the common difference between consecutive terms

In this case, the first term (a) is 2, and the common difference (d) is 3, as each term increases by 3.

We need to find the value of n when the nth term is 332. Plugging the values into the formula:

332 = 2 + (n - 1) * 3

Simplifying the equation:

330 = (n - 1) * 3

Dividing both sides by 3:

110 = n - 1

n = 111

Therefore, the sequence has 111 terms.

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The maximum value attained by the sum of the expression is 169 when N is the two-digit number 98.

Let N be a two-digit number with digits a and b. Then, the sum of N and the product of its digits is N + ab, and the sum of N's digits is a + b. Therefore, the expression we want to maximize is:

Substituting N = 10a + b, we get:

To maximize this expression, we want to maximize a and b. Since a and b are digits, they must be between 1 and 9. If we set a = 9 and b = 8, we get:

Therefore, the maximum value attained by the expression is 169 when N is the two-digit number 98.

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The observed value of z (test statistic) is greater than 1.96 (the test statistic does fall into the rejection region), so Reject H₀ .

p₁ = the proportion of the non-smoker population who reply "yes"

p₂ = the proportion of the smoker population who reply "yes," then we are interested in testing the null hypothesis

H₀:  p₁ = p₂

Alternate hypothesis:

Hₐ:  p₁≠p₂

That implies then that the test statistic for testing:

H₀ : p1 = p2

Hₐ : p1 ≠ p2.                              (Two – tailed)

n1 = 605, y1 = 351

p1 = y1 / n1

= 351/605

≈ 0.58

n2 = 195, y2 = 41.

p2 = y2/n2

= 41 / 195

≈0.21

p = y1 + y2 / n1 + n2

= 351 + 41 / 605 + 195

= 392 / 800

= 0.49

The test statistic is

\(z = \frac{p1 - p2}{\sqrt{p(1-p). (\frac{1}{n1}}+ \frac{1}{n2} ) } }\)

z = \(\frac{0.58 - 0.21}\sqrt{{0.49 . 0.51 (\frac{1}{605} + \frac{1}{195} )} }\)    

= 8.988

critical region for α = 0.01

z = 2.576

The observed value of z (test statistic) is greater than 1.96 (the test statistic does fall into the rejection region),

so Reject H₀ .

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Answer:

x≈ 11.9 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the volume of the sample container.

Given:

Volume formula:

Substitute to get:

Find the volume of the trace element, using the given proportion:

The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).

b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

(a) The data set that has the greatest sample standard deviation is Data set (ii).

The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.

In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.

(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).

However, they differ in terms of the order in which these numbers are arranged.

In addition, they differ in terms of the mean, median, mode, and standard deviation.

For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

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Answer:

30

Step-by-step explanation:

For this problem she goes to the park every 5 days so, 5,10,15,20,25,30 and so on and she goes to the library every 6 days so, 6,12,18,24,30,36 and so on. 30 is the GCF of both so that is the answer

Answer: The decimal equivalent to 2/9 = 0.22

Step-by-step explanation:

Define Decimal equivalent :

The decimals with the same number of decimal places are called like decimals. Equivalent decimals are decimal numbers that have the same value. For example, 3.42, 6.05 are like decimals as they have two decimal places. For example, 0.3 and 0.30 are equivalent decimals as they present the same value.

How do you find the equivalent decimal?

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division.

Given data,

Find the decimal equivalent to 2/9.

To get a fraction into a decimal you have to divide the fraction. I was taught since the 2 is the numerator, it gets divided out of and the 9 is what you're dividing the 2.

so, we can write,

                        x = 2/9

where,          numerator = 2

                     denominator = 9

Then, x = 2/9 = 0.22

Therefor, the decimal equivalent to 2/9 = 0.22

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Answer:

Step-by-step explanation:

Given the population of yeast modelled by the function f(t)=a/1+be^-0.7t where t is measured in hours.

If at time t = 0 the population is 20 cells, then the equation becomes:

20 = a/1+be^-0.7t

20 = a/1+be^-0.7(0)

20 = a/1+be^-0

20 = a/1+b(1)

a/1+b = 20

a = 20(1+b) ........ equation 1

Also if the population is increasing at a rate of 12 cells/hour, then d(f(t)/dt = 12

Differentiate the expression with respect to time

f(t)=a(1+be^-0.7t)^-1

d(f(t)/dt =

a{-(1+be^-0.7t)^-2×(-0.7be^-0.7t)

a{-(1+be^-0.7t)^-2×(-0.7be^-0.7t) = 12

0.7abe^-0.7t/(1+be^-0.7t)² = 12 ..... equation 2

at t = 0, the equation becomes

0.7abe^-0/(1+be^-0)² = 12

0.7ab/(1+b)²= 12

0.7ab = 12(1+b)²

Substitute 1 into 2

0.7×20(1+b)b = 12(1+b)²

14(1+b)b = 12(1+b)²

Divide both sides by 1+b

14b = 12(1+b)

14b = 12+12b

14b-12b = 12

2b = 12

b = 6

Substitute b= 6 into the equation a = 20(1+b) to get a.

a = 20(1+6)

a = 20×7

a = 140

For us to be able to determine what happens to the yeast population in the long run. we will take the limit of f(t) as t approaches infinity.

Lim t -->/infty a/1+be^-0.7t

= a/1+be^-(infty)

= a/1+b(0)

= a

Since a = 140, hence the population of the yeast tends to 140 on the long run

Answer:

1/2

Step-by-step explanation:

2, 4, 6 are multiples of 2

the other numbers are 1, 3, and 5

The probability = 3 out of possible numbers= 3/6= 1/2

Answer:

Answer is 0

Step-by-step explanation:

-6x-6=x²-5x-6

-6(x+1)=(x+1)(x-6)

-6=x-6

x=0

The probability that Rosa's mom chooses sausage and onion is: 1/8C₂.

Probability refers to the chance of an event occurring. It is given by the formula: number of favorable outcomes/number of total outcomes. The total number of groups from which Rosa's mom can make her choice is 1 and this is the number of favorable outcomes.

But, the total number of outcomes that Rosa can hope to expect are 2 two toppings(sausage or onions) out of 8. So, the selected answer is the representation of the probability.

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Answer:

This is the sample answer given after you complete the question on edmentum

The value of a is 6 and the value of b is 7

The function is given as:

h(x) = a . sin(x - π/2) + b

From the table of values, we have:

x = π/2 when y = 7

So, we have:

a . sin(π/2 - π/2) + b = 7

Evaluate the difference

a . sin(0) + b = 7

Evaluate the value of sin(0)

a . 0 + b = 7

Evaluate the product of a and 0

b = 7

Substitute b = 7 in h(x) = a . sin(x - π/2) + b

h(x) = a . sin(x - π/2) + 7

From the table of values, we have:

x = π when y = 13

So, we have:

a . sin(π - π/2) + 7 = 13

Evaluate the difference

a . sin(π/2) + 7 = 13

Subtract 7 from both sides

a . sin(π/2)  = 6

Evaluate sin(π/2)

a . 1 = 6

Divide both sides by 1

a = 6

Hence, the value of a is 6 and the value of b is 7

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Answer:

43

Step-by-step explanation:

so easy give me a hard one pleaseeeeeeee

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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2.04 × \(10^4\) is the largest number among 7.2 × \(10^{-6}\), 3.09 × 10³, 2.04 × \(10^4\), and 5 × 10³ using scientific notation.

To compare numbers in scientific notation, it's important to look at the coefficient first, as the power of 10 doesn't affect the size of the number. In this case, 2.04 × \(10^4\) has the largest coefficient and is therefore the largest number.

The numbers are written in scientific notation, which means they have a coefficient and a power of 10. To compare the numbers, we need to compare the coefficients first.

7.2 × \(10^{-6}\) can be written as 0.0000072.

3.09 × 10³ can be written as 3,090.

2.04 × \(10^4\) can be written as 20,400.

5 × \(10^3\) can be written as 5,000.

Now we can see that 2.04 × \(10^4\) has the largest coefficient, so it is the largest number. Therefore, the answer is 2.04 × \(10^4\).

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The question is -

Which number is the largest? 7.2 × \(10^{-6}\), 3.09 × 10³, 2.04 × \(10^4\), 5 × 10³

Step-by-step explanation:

3pu + 27p + 5u + 45

xy^2 - y^3 = C

The method for solving homogeneous equations is to divide both sides of the equation by the highest power of x or y, and then to separate the variables. In this case, the highest power of x is 2, and the highest power of y is 3. So, we divide both sides of the equation by x^2, and then we separate the variables to get y^2 - y^3 / x^2 = C.

Once we have separated the variables, we can integrate both sides of the equation. The integral of y^2 is y^3 / 3, and the integral of y^3 / x^2 is -y^2 / x. So, we get the following equation:

y^3 / 3 - y^2 / x = C

We can then multiply both sides of the equation by 3x to get the following equation:

xy^2 - y^3 = 3xC

This is the implicit solution to the differential equation.

Note that this solution is only valid for solutions that do not contain lost solutions. Lost solutions are solutions that do not satisfy the original differential equation.

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xy^2 - y^3 = C

The method for solving homogeneous equations is to divide both sides of the equation by the highest power of x or y, and then to separate the variables. In this case, the highest power of x is 2, and the highest power of y is 3. So, we divide both sides of the equation by x^2, and then we separate the variables to get y^2 - y^3 / x^2 = C.

Once we have separated the variables, we can integrate both sides of the equation. The integral of y^2 is y^3 / 3, and the integral of y^3 / x^2 is -y^2 / x. So, we get the following equation:

y^3 / 3 - y^2 / x = C

We can then multiply both sides of the equation by 3x to get the following equation:

xy^2 - y^3 = 3xC

This is the implicit solution to the differential equation.

Note that this solution is only valid for solutions that do not contain lost solutions. Lost solutions are solutions that do not satisfy the original differential equation.

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Answer:

\(\displaystyle m = 7\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (0, 1)

Point (1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

3 is definitely the right answer

Step-by-step explanation:

Answer:

(a) To express the quadratic function in the form of a(x - p)² + q, we first need to complete the square:

f(x) = 30x - 5x²

= -5(x² - 6x)

= -5(x² - 6x + 9 - 9)

= -5[(x - 3)² - 9]

= -5(x - 3)² + 45

Therefore, the function in the form of a(x - p)² + q is f(x) = -5(x - 3)² + 45, where a = -5, p = 3, and q = 45.

(b) The maximum height of the object occurs at the vertex of the parabola, which is at x = p = 3. Therefore, to find the maximum height, we plug x = 3 into the equation:

f(3) = -5(3 - 3)² + 45

= 45

So the maximum height of the object is 45 units.

Hope this helps!

Answer:

A

Step-by-step explanation:

"Changing the measurement unit" is the correct answer because it's like transforming a measurement into a different language or currency, but keeping the meaning or value intact. When you convert from feet to inches, you're essentially translating the measurement into a smaller unit (inches) while preserving the original quantity or value. It's similar to how you can express the same distance or length in different units, like converting from miles to kilometers or from pounds to kilograms. It's like speaking the measurement's language in a different dialect or using a different currency for the same value.

Answer:

Step-by-step explanation:

A) The steady-state error for transfer function (20s² + 2s + 36) with reference r(t) = 1 and K = 20 is -35.

B) The steady-state error for transfer function (6s² + 22) with reference r(t) = 1 and K = 20 is -21.

A) Transfer Function: G(s) = (20s² + 2s + 36)

To calculate the steady-state error, we need to evaluate the transfer function G(s) at s = 0.

So let's substitute s = 0 into the transfer function:

G(0) = (20(0)²+ 2(0) + 36)

= 0 + 0 + 36

= 36

The steady-state value of the output for reference r(t) = 1 and K = 20 is 36.

Steady-State Error = r(t) - y(t)

= 1 - 36

= -35

B) Transfer Function: G(s) = (6s² + 22)

Let's evaluate the transfer function G(s) at s = 0:

G(0) = (6(0)² + 22)

= 0 + 22

= 22

The steady-state value of the output for reference r(t) = 1 and K = 20 is 22.

Therefore, the steady-state error is:

Steady-State Error = r(t) - y(t)

= 1 - 22

= -21

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

i think the answer is this.. I don't have answer choices but here you go >>> -6>7

Two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

The two-sample t-test defined as the method used to test whether the unknown population means of two groups are equal. The two sample t-test is also called independent samples t-test. Because the two samples of the data are statistically independent.

A paired t-test is used to find the difference between two variables usually separated by time for the same subject. By using the paired t-test  we can find the mean difference between pairs of measurements is zero or not. So  paired t-test is used, when data is in the form of matched pairs

Hence, two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

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