Can someone write 3^x − 4 = 6 in its logarithmic form?

Answer:

47% or47/100

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

equation is linked below :)

a. The equilibrium interest rate,  is determined by the risk-free interest rate, the probability of repayment, and the cost of default.

b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.

a. To find the equilibrium interest rate,  we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.

b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.

Calculations and further details would be required to provide specific numerical answers for each part of the question.

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Answer: 46.2m

Side A = 7m

Side B = 19m

Side C = 20.2m

Side A + Side B + Side C = ABC

7 + 19 + 20.2 = 46.2m

Answer:

1.3 should be right

Step-by-step explanation:

X = 1.3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

area = \(s^{2}\) = 129 \(in^{2}\)

side = \(\sqrt{129}\)

= 11.35782  ( approx )

Hope this helps

plz mark as brainliest!!!!!!!!

The transitive closure by arithmetic operations on the adjacency matrix is  Compute A⁰ + A¹ + ... + A⁽ⁿ⁻¹⁾ where + is standard addition (integers)

The transitive closure of a graph is the set of all possible paths from one vertex to another in the graph.

The best method to determine the transitive closure by arithmetic operations on the adjacency matrix is C.

Compute

=> A⁰ + A¹ + ... + A⁽ⁿ⁻¹⁾

where + is standard addition (integers).

The standard addition of integers is used because we are counting the number of paths between each vertex.

In this method, we start by computing A⁰, which is simply the adjacency matrix itself.

A¹ gives us the number of paths between each vertex that are one step long. A² gives us the number of paths between each vertex that are two steps long, and so on. We continue this process until we have computed

=> A⁽ⁿ⁻¹⁾

where n is the number of vertices in the graph.

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Answer:

I believe that the answer is 9

Step-by-step explanation:

You just replace x with 3

Answer:

x = 6

Step-by-step explanation:

4(x - 3) + 5x - x^2

Substitute x with 3

4(3 - 3) + 5(3) - 3^2

Solve via PMDAS so Parenthesis first

4(0) + 5(3) - 3^2

Multiply then the rest is Self-Explanatory

15 - 9

x = 6

Hope this helped!

Answer:

A = 27π cm² or about 84.8 cm²

Step-by-step explanation:

Area of a full circle is πR²

As there are four right angles making up a 360° turn, and the missing piece is one of those four, there are ¾ of a circle remaing

A = ¾πR² = ¾π6² = 27π cm² or about 84.8 cm²

Answer:

\(C'\ = (-5,3)\)

Step-by-step explanation:

Given

\(A = (2, 1)\)

\(B = (3, 5)\)

\(C = (5, 3)\)

\(D = (3, 1).\)

Reflection across y-axis

Required

Coordinates of C'

When a point is reflected across the y-axis, the rule is:

\((x,y) \to (-x,y)\)

So, the reflection on C will be:

\(C\ (5,3) \to C'\ (-5,3)\)

Answer:

A

Step-by-step explanation:

(-5,3)

The percentage is shirt is 5%

Answer:

rip

Step-by-step explanation:

Answer:

4 minutes

Step-by-step explanation:

The value of p that makes the given equation true is equal to: B. p = -5

Given the following equation:

To find a value of p that makes the given equation true:

In this exercise, you're required to determine a value of p that satisfies the given equation true such that when substituted into the equation, it has a true result or outcome.

Rearranging the equation by collecting like terms, we have:

\(3p - 8 = -23\\\\3p=-23+8\\\\3p=-15\\\\p=\frac{-15}{3}\)

p = -5

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Answer: All Real Numbers

Explanation: Notice that when you try to put your variables together on one side of the equation by subtracting 4y from both sides, the y terms cancel out on both sides and we no longer have a variable in the equation.

Notice however that we are left with the statement 12 = 12.

Since 12 = 12 is a true statement, we say that

the solution to this equation is all real numbers.

The absolute maximum is -2 at x = 4, and the absolute minimum is -9 at x = -3.

To find the absolute extrema of f(x) on the interval [-3, 4), we need to first find the critical points and endpoints of the function. The critical points are the points where the derivative of the function is equal to 0 or undefined.

1. Find the derivative of f(x): f'(x) = 1

Since the derivative is a constant, there are no critical points.

2. Evaluate the function at the endpoints of the interval:

f(-3) = -3 - 6 = -9
f(4) = 4 - 6 = -2

3. Compare the values to determine the maximum and minimum:

The maximum value of f(x) on the interval is -2 at x = 4: f(4) = -2.
The minimum value of f(x) on the interval is -9 at x = -3: f(-3) = -9.

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The critical value for the given hypothesis test with a significance level of 0.05 and sample size of 19, testing the alternative hypothesis H1: σ > 4.5, cannot be determined without additional information.

To find the critical value, we need to know the distribution of the data and the desired level of significance (also known as the alpha level) for the hypothesis test. In this case, we are given that the significance level, denoted as alpha (α), is 0.05, but we do not have information about the distribution of the data or the desired level of significance.

The critical value is a value from the distribution that is used as a threshold to determine whether to reject or fail to reject the null hypothesis. If the test statistic (calculated from the sample data) is greater than the critical value, we would reject the null hypothesis in favor of the alternative hypothesis. If the test statistic is less than or equal to the critical value, we would fail to reject the null hypothesis.

However, without knowing the distribution of the data and the desired level of significance, we cannot determine the critical value for this hypothesis test. Therefore, we cannot provide a specific numerical value for the critical value in this case.

Therefore, the critical value for the given hypothesis test with a significance level of 0.05 and sample size of 19, testing the alternative hypothesis H1: σ > 4.5, cannot be determined without additional information.

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The distance between the base of the string and the base of the mast of the sailboat is 6.24.

Here we have to find the distance from the base of the mast that should be attached to the end of the light string.

Data given:

length of the string = 20 foot

length of the mast of the sailboat = 19 foot

Distance between the base of the mast and the light string = \(\sqrt{20^{2} - 19^{2} }\)

                                                                                             = \(\sqrt{400 - 361}\)

                                                                                             = √39

                                                                                             = 6.245

Therefore the distance between the string and the mast is 6.24.

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Answer: (-7,4)

Step-by-step explanation:

I hope this helps.

Answer:   534

Step-by-step explanation:

an=a1+(n-1)d

Here,

d is the common difference

=>a2-a1=12-3=9

&  a1=3

a60=3+(60-1)9

a60=3+(59)*9

a60=3+531

a60=534

60th term is 534.

Answer:

60th term = 534

Step-by-step explanation:

The easier way:

3 + (60 -1) (9)

3 + (59) (9)

3 + (531) = 534

OR

The harder way:

3, 12, 21, 30, 39, 48, 57, 66, 75, 84, 93, 102, 111, 120, 129, 138, 147, 156, 165, 174, 183, 192, 201, 210, 219, 228, 237, 246, 255, 264, 273, 282, 291, 300, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390, 399, 408, 417, 426, 435, 444, 453, 462, 471, 480, 489, 498, 507, 516, 525, 534                                                 

Please let me know if this helps.

To know the best deal, we have to know which one gives us the least cost per gallon.

To do that we divide the price by the quantity or volume.

A) $56 for 25 gallons

B) $32.05 for 15 gallons

C) $51.29 for 23 gallons

D) $22.50 for 10 gallons

The best deal is B: $32.05 for 15 gallons, because it offers a price per gallon that is lower than the others.

For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.

The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.

Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.

Since the radius of B is 3, AX = 4.

Assume AE = p.

Then EX and EY are radii of circle E and have length 4 + p.

AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.

Using the Law of Cosines on Δ CAE, we obtain

(6+p)² =p² + 64 - 2(8)(p) cos 60

The 2 and the cos 60 terms cancel out:

p² + 12p + 36 = p² + 64 - 8p

12p+ 36 = 64 - 8p

p = 28/20

= 7/5

The radius of circle E is 4 + (7/5)

= 27/5,

So, the answer is 27 + 5 = 32

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you work out the equation from 5 to 3 then compare it to 9

well, first off let's check on Bella, 2 and 3/8, that'd be a rate of 2.375%, well 680 tripled is simply 2040, so let's check

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2040\\ P=\textit{original amount deposited}\dotfill &\$680\\ r=rate\to 2.375\%\to \frac{2.375}{100}\dotfill &0.02375\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years \end{cases}\)

\(2040=680\left(1+\frac{0.02375}{1}\right)^{1\cdot t} \implies \cfrac{2040}{680}=1.02375^t\implies 3=1.02375^t \\\\\\ \log(3)=\log(1.02375^t)\implies \log(3)=t\log(1.02375) \\\\\\ \cfrac{\log(3)}{\log(1.02375)}=t\implies {\Large \begin{array}{llll} 46.805\approx t \end{array}}\)

now let's check on Tanisha, where 2 and 7/8 will be a rate of 2.875%, same tripled amount of 2040

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2040\\ P=\textit{original amount deposited}\dotfill &\$680\\ r=rate\to 2.875\%\to \frac{2.875}{100}\dotfill &0.02875\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases}\)

\(2040=680\left(1+\frac{0.02875}{4}\right)^{4\cdot t} \implies \cfrac{2040}{680}=1.0071875^{4t}\implies 3=1.0071875^{4t} \\\\\\ \log(3)=\log(1.0071875^{4t})\implies \log(3)=t\log(1.0071875^4) \\\\\\ \cfrac{\log(3)}{\log(1.0071875^4)}=t\implies {\Large \begin{array}{llll} 38.350\approx t \end{array}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Bella's}{46.805}~~ - ~~\stackrel{Tanisha's}{38.350} ~~ \approx ~~ 8.455~~ \approx ~~\text{\LARGE 8.46} ~~ \textit{about 8 years and 168 days}\)

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)