If C=X + 6 and D=3X -6 + 4x to the second power of 4x if an expression that equals C + 3D in standard form.

Answers

Answer 1

Answer:

Answer:

3=3y4/i94 =78

Step-by-step explanation:

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The Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare. A preliminary sample showed that 17.5% of households in this sample receive welfare. The sample size that would limit the margin of error to be within 0.025 of the population proportion is:_________.

Answers

Answer:

Sample size should be atleast 625

Step-by-step explanation:

Given that the Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare

Sample proportion = 17.5%

Let n be the sample size

Standard error of sample proportion= $\sqrt{(pq)/(n) } =\sqrt{(0.175*0.825)/(n) }$

Z critical for 90% = 1.645

Margin of error = 1.645 * std error

Since margin of error<0.025 we have

$1.645*\sqrt{(0.175*0.825)/(n) }<0.025\n0.625046/0.025 <√(n) \nn>625$

Final answer:

The sample size that would limit the margin of error to be within 0.025 of the population proportion is approximately 185.

Explanation:

To estimate the sample size needed to limit the margin of error within 0.025, we can use the formula for sample size in proportion estimation. The formula is:

n = (Z^2 * p * (1-p)) / (E^2)

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level

p = preliminary sample proportion

E = margin of error

Given that the confidence level is 90%, the Z-score for a 90% confidence level is approximately 1.645. The preliminary sample proportion is 17.5% (or 0.175) and the margin of error is 0.025.

Substituting these values into the formula:

n = (1.645^2 * 0.175 * (1 - 0.175)) / (0.025^2)

Simplifying the equation:

n = 1.645^2 * 0.175 * 0.825 / 0.025^2

n ≈ 185.16

So, the sample size that would limit the margin of error to be within 0.025 of the population proportion is approximately 185, rounded up to the nearest whole number.

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Use the rules for logarithms and exponents to write this equation in logarithmic form.?For the equation K = Ae^(-ΔH/RT), solve for ln K using logarithms and exponents.

Answers

Answer:

$ln K = ln (A) -(\Delta H)/(RT)$

Step-by-step explanation:

For this case we have the following expression:

$K = A e^{-(\Delta H)/(RT)}$ (1)

And we want to find the value of ln K. If we apply natural log on both sides of the equation (1) we got:

$ln K = ln(A e^{-(\Delta H)/(RT)})$

Using the following property:

$ln(xy) = ln (x) + ln(y)$ for x and y real numbers, x>0, y>0, then we have:

$ln K = ln (A) + ln (e^{-(\Delta H)/(RT)})$

Now since the natural log and the exponentiation are inverse operations we have this:

$ln K = ln (A) + (-(\Delta H)/(RT))$

And then the final expression for ln K is :

$ln K = ln (A) -(\Delta H)/(RT)$

Twice the square of a number

Answers

Answer:

2 * x^2

Step-by-step explanation:

in word form: two times the square of x

"a number" can be any variable; i used x

Answer:

x² × 2

Step-by-step explanation:

Notice vocabulary:

twice → multiplication by a factor of two → ×2
a number → unknown number; variable → x
the square → raised to the power of two → x²

Put this information together.

"Twice the square of a number"

Since it says of a number, this number comes first → $x$

"Twice the square of a number"

The square of a number means that the variable will be squared → $x^2$

"Twice the square of a number"

Multiply the variable by a factor of two → $x^2*2$

:Done

Consider the quadratic function y = 0.3 (x-4)2 - 2.5
Determine the axis of symmetry, x =

Answers

Answer:

$x=4$

Step-by-step explanation:

We have the quadratic function:

$\displaystyle y=0.3(x-4)^2-2.5$

And we want to determine its axis of symmetry.

Notice that this is in vertex form:

$y=a(x-h)^2+k$

Where (h, k) is the vertex of the parabola.

From our function, we can see that h = 4 and k = -2.5. Hence, our vertex is the point (4, -2.5).

The axis of symmetry is equivalent to the x-coordinate of the vertex.

The x-coordinate of the vertex is 4.

Therefore, the axis of symmetry is x = 4.

A classroom board is 36 inches wide and 24 inches tall. Cherylis putting ribbon along the outside edge of the board. How
many inches of ribbon will she need?
24 inches
36 inches
A 156 inches B 120 inches
C90 inches
D 60 inches

Answers

The amount of ribbon needed is 120 inches

what is perimeter?

The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width.

Given:

length = 24 inches

width = 36 inches

So, amount of ribbon needed

=2(36+ 24)

=2(60)

=120 inches

Hence, the amount of ribbon needed is 120 inches

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Answer: