Hi can you help me answer this and justify your answer.

9514 1404 393

Answer:

  x = 1/6

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

The fraction inside parentheses evaluates to ...

  3^(3/4 -3/8) = 3^(3/8)

Then the whole expression evaluates to ...

  (3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)

The value of x is 1/6.

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer:

3r

Step-by-step explanation:

there is an invisible 1 in front of the rs. Add them and you get 3r

Answer:

3r

Step-by-step explanation:

Let's replace r with a number.

For example,

r=3

3+3+3=9

We know also that 9=3 multiplied by 3. Therefore, r+r+r=3r

Answer:

m∠Q = 35°

m∠M = 60°

Step-by-step explanation:

In the isosceles triangle, the measures of the base angles are equal

In Δ RQS

∵ RQ = RS

→ That means Δ RQS is an isosceles triangle

∴ Δ RQS is an isosceles triangle

∵ ∠Q and ∠S are the base angles

∴ m∠Q = m∠S

→ The sum of the measures of the interior angles in any Δ is 180°

∴ m∠Q + m∠S + m∠R = 180°

∵ m∠R = 110°

∴ m∠Q + m∠S + 110 = 180

→ Subtract 110 from both sides

∴ m∠Q + m∠S = 70°

∵ m∠Q = m∠S

→ Divide their sum by 2 to find the measure of each one

∴ m∠Q = m∠S = 70 ÷ 2 = 35°

∴ m∠Q = 35°

In Δ MNP

∵ MN = NP = PM

→ That means ΔMNP is an equilateral triangle

∴ Δ MNP is an equilateral triangle

→ In the equilateral triangle, all angles are equal in measures

∴ m∠M = m∠N = m∠P

∵ m∠M + m∠N + m∠P = 180

→ Divide their sum by 180 to find the measure of each angle

∴ m∠M = m∠N = m∠P = 180 ÷ 3 = 60°

∴ m∠M = 60°

Answer:

y = 3x + 4

Step-by-step explanation:

We can use the equation y = mx + b to find the equation:

Plug in the slope and the point into the equation, and we can find b:

-5 = 3(-3) + b

-5 = -9 + b

4 = b

Now, we can plug in the slope and y-intercept into the equation:

y = 3x + 4 will be our equation

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

The statistical analysis of the data using a two-sample t-test indicates;

(a) B. Yes, the Meters On data appears to have higher speeds

A. No, there does not appear to be any outlier

(b) H₀; \(\mu_{on}\) = \(\mu_{off}\)

H₁; \(\mu_{on}\) > \(\mu_{off}\)

The P-value for the test is about 0.037

A two-sample t-test is used to determine if there is a difference between the means of two independent groups of data.

(a) The average of the data values are;

Ramp meters on;

\(\mu_{on}\) = (29+47+55+38+32+25+42+47+51+36+55+41+43+25+47)/15 ≈ 40.87

\(\mu_{off}\) = (25+25+43+35+36+31+48+37+19+29+22+40+36+50+40)/15 ≈ 34.4

The higher average value for the speed with the Ramp meters on indicates;

B. Yes, the Meters On data appears to have higher speeds

The five number summary are;

Ramp Meters On

Min = 25, Max = 55, Q₁ = 32, Q₂ = 42, Q₃ = 47

IQR = 47 - 32 = 15

Outlier = 47 + 1.5 × 15 = 69.5

32 - 1.5 × 15 = 9.5

Therefore, there are no outliers for the Ramp Meters On

Ramp Meters Off

Min = 19, Max = 50, Q₁ = 25, Q₂ = 36, Q₃ = 40

IQR = 40 - 25 = 15

Outlier = 40 + 1.5 × 15 = 62.5

25 - 1.5 × 15 = 2.5

Therefore, there are no outliers for the Ramp Meters Off data

(b) The null hypothesis is; H₀; \(\mu_{on}\) = \(\mu_{off}\)

The alternative hypothesis is; H₁; \(\mu_{on}\) > \(\mu_{off}\)

(c) The two sample t-test, can be obtained using the formula;

\(t_{cal} = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} ) } }\)

Where; \(\bar{x}_1\) = 40.87

\(\bar{x}_2\) = 34.40

s₁ = 9.91

s₂ = 9.20

n₁ = n₂ = 15

Therefore; \(t_{cal}\) = 1.8516. The degrees of 15 + 15 - 2 = 28, and the one-tailed hypothesis, indicates, using an online tool;

The p-value is less than 0.05, therefore, the result is significant.

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Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

Option B) A and C

Step-by-step explanation:

The slope of the line is 2.

The slope is going up from left to right, so it'll be positive to start with. From there you have to do rise over run. That is pretty much how many units up and in towards the slope do you have to go until you find 2 points that are in the center of the line. In this case, the rise over run is 2/1 which equals 2.

May I have brainliest please? :)

Answer:

the answer is b, c, d, a, respectively

Answer:

(x-4)(3x+2)

Step-by-step explanation:

Answer:

\((3x+2)(x-4)\)

Step-by-step explanation:

Something to keep in mind is that the factored expression will be in either the form of \((ax-b)(x-c)\) or \((ax-b)(cx-d)\). In either case, the final term will only be the product of -b and -c in the first case or -b and -d in the second case. This means that the term without an x will not be affected by the coefficient of x.

We have the following expression

\(3x^2-10x-8\)

The first thing we can do is list out the factors of -8

1 and -8

-1 and 8

2 and -4

-2 and 4

These are all of the pairs that could be factors of -8.

Normally, the next step would be to look for which of these factors would add together to give you the coefficient of x, but as there is a 3\(x^2\), this is complicated a little more.

Instead, we have to look for 3 multiplied by one of the factors and then added to the other factor. In the case of this problem, the result must be -10.

At this point, you just have to begin testing out which ones will work.

Let us look at the factors 2 and -4

\(2(3)-4=2\\\\2-4(3)=-10\)

We can see that while the first one didn't work, the second one resulted in -10, which is what we wanted.

Now that we know what the factors are, let us write them in the form\((ax-b)(x-c)\)

Normally, it does matter which number you pair with each x, but in this case, it does matter. As we had to multiply the -4 by 3, it must be in the pair that is opposite to the pair with the 3x.

Knowing this, we can construct out factor

\((3x+2)(x-4)\)

(Sorry that this explanation was quite lengthy)

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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Answer: 48 qt

Step-by-step explanation:

The conversion factor between pints and quarts is two which means there are 2 pints in every quart. divide the number of pints by two to find the number of quarts.

96/2 = 48

EX: 24 pints = 12 quarts

24/2 =12

EX 8 quarts = 16 pints

The same rule works in reverse but instead of dividing you multiply.

8x2 = 16

To the nearest tenth of a year, it will be approximately 27.4 years for the population to reach 8100.

What is the growth rate?

Growth rates are used to express the annual change in a variable as a percentage. A positive growth rate indicates a variable is increasing over time; a negative growth rate indicates that it is decreasing.

To find out how long it will take for the town's population to reach 8100, we can use the formula:

time = (ln(8100/5000)) / ln(1 + growth rate)

where growth rate is 0.05 (5%) and ln is the natural logarithm.

Plugging in the numbers we get:

time = (ln(8100/5000)) / ln(1 + 0.05) = (ln(1.62)) / ln(1.05)

Hence, To the nearest tenth of a year, it will be approximately 27.4 years for the population to reach 8100.

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Answer:

The correct answer would be 9.9.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

4w-10=42

4w=52

w=52/4

w=13

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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The equation of the conic section in conic form is (x - 1) = (y + 6)²/4.

To write the equation of the conic section in conic form, we can complete the square to transform the equation into its standard form. Let's start with the given equation:

y² - 4x + 12y + 32 = 0

Rearranging the terms, we have:

y² + 12y - 4x + 32 = 0

To complete the square for the y-terms, we add and subtract the square of half the coefficient of y (which is 6 in this case):

y² + 12y + 36 - 36 - 4x + 32 = 0

Simplifying this, we get:

(y + 6)² - 4x + 4 = 0

Now, rearranging the terms, we have:

(y + 6)² = 4x - 4

Dividing both sides of the equation by 4, we get:

(y + 6)²/4 = x - 1

Finally, we can write the equation in conic form:

(x - 1) = (y + 6)²/4

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The Probable question may be:
Which type of conic section is defined by the equation y²-4x+12y + 32 = 0?

This is an equation of a parabola

Write the equation of this conic section in conic form:

Answer:

Step-by-step explanation:

2x - 5y = -11

ordered pair:  (-5, -1)

x = -5 y = -1

plug into the equation.

2(-5) - 5(-1) = -11

a negative x a positive = a negative

2 x -5 = -10

a negative x a negative = a positive

-5 x -1 = 5

-10 + 5 = -11

5 ≠ 11

therefore its NOT solution.

The Solution:

The correct answer is 206.9 square centimeters.

Let the two concentric circles be represented as below:

We are required to find the area of the ring between the two concentric circles.

Step 1:

We shall find the radii of both concentric circles by using the formula below:

In this case,

For the smaller circle: radius (r) and circumference = 55cm.

Dividing both sides by 2 pi, we have

For the bigger circle: radius (R) and circumference = 75cm.

Solving for R, we get

Step 2:

We shall the required area by using the formula below:

In this case,

Substituting these values in the formula above, we get

Therefore, the correct answer is 206.9 square centimeters.

Answer:

54

Step-by-step explanation:

equilateral triangle= 2 angles equal

180-72=108

108/2 =54

x=54

Answer:

d(6) is the answer.

The flow chart to prove m∠3≅m∠4 is given below.

What is the vertical angle theorem?

The Vertical Angle Theorem states that when two straight lines cross, they create two linear pairs. Due to the fact that their angles add up to 180 degrees, the adjacent angles created when two lines intersect are known as supplementary angles.

Given, m∠1≅m∠2

Then, m∠1≅m∠3 ( vertical angles theorem)

m∠2≅m∠3 (Given)

Then, m∠2≅m∠4 (vertical angle theorem)

Hence, m∠3≅m∠4 (transitive property of congruence) proved

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

B: 19.3

Step-by-step explanation:

Mark brainliest

Answer:

19.3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

- 8.5 × 4 \(\frac{1}{2}\)

= - 8.5 × 4.5

= - 38.25 → B

Answer:

7^2-8

Step-by-step explanation:

(just imagine that 2 is above the 7)

Since it asks for the diffrence, it's asking for a subtraction problem, and "7 Squared" is basicly saying to square the 7 before you subtrat

(if you want to know the answer to this algerbraic phrase, its 41)

Answer:

$13,000

Step-by-step explanation:

3/5 x T = 7800

T = 7800 x 5/3

  = 2600 x 5

  = $13,000

BRAINLIEST.

DUH.

Answer:

13000

Step-by-step explanation:

let the total cost of the truck = x

so, 3/5 of x = $7800

3x/5 = $7800

3x = $7800 × 5

3x = $39000

x = $39000/3

x = $13,000