n+3=28 what does n equal

To find the exact value of the expression 2log₂⁸ - log₂⁹, we can use the properties of logarithms.

First, let's simplify each logarithm separately:

log₂⁸ can be rewritten as log₂(2³), using the property that logₐ(b^c) = clogₐ(b).

So, log₂⁸ = 3log₂(2).

Similarly, log₂⁹ can be rewritten as log₂(3²), since 9 can be expressed as 3².

So, log₂⁹ = 2log₂(3).

Now, substituting these simplified forms back into the original expression:

2log₂⁸ - log₂⁹ = 2(3log₂(2)) - (2log₂(3))

Using the property that alogₐ(b) = logₐ(b^a), we can further simplify:

= log₂(2³) - log₂(3²)

= log₂(8) - log₂(9)

Applying the property that logₐ(b) - logₐ(c) = logₐ(b/c), we have:

= log₂(8/9)

Therefore, the exact value of the expression 2log₂⁸ - log₂⁹ is log₂(8/9).

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Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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Answer: c

Step-by-step explanation:

\(= \ \frac{\beta _{1}}{s\beta _{1} } = t\beta _{1}\)  the t-value for the sample correlation coefficient r compare to the t-value .

What is the slope in math?

The two t values are equal.

\(t_{r} = r \frac{\sqrt{n - 2} }{\sqrt{1 - r^{2} } }\)

    \(= \frac{r * \sqrt{SST / \sqrt{SSR} } }{(\sqrt{1 - r^{2}) * \sqrt{SST} /\sqrt{SSR/(n - 2)} } }\)

     \(= \ \frac{\beta _{1}}{s\beta _{1} } = t\beta _{1}\)

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Answer:

C

Step-by-step explanation:

because 45 multiplied by 104 is 4,680. The closest answer to that would be 4,500. Because it is only 180 off, and the other numbers are well off by over 3,000.

Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.

To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:

a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.

b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.

To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:

a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.

b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.

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Answer:

X = √ 7 x −15

 X = − √ 7 x − 15

Step-by-step explanation

Math- Way

Answer:

A. Only graph B and D

Step-by-step explanation:

Hi, to answer this question we have to analyze the options given:

A function has only one output value (y) for each input value.(x)

In other words, If we draw a vertical line (anywhere on the graph) that intersects the graph in two points or more, then the graph does not represent a function because that x value has more than one output(y).

So, the correct option is:

A. Only graph B and D

The amount as a percentage is 15% which represents the number 1 to 20 containing the digit 2.

The percentage is defined as a ratio expressed as a fraction of 100.

We know that the numbers 1 to 20 that contain the digit 2 are 2,12, and 20.

So, the quantity of the numbers is 3

It’s out of 20 numbers, this means 3/20

Calculating percentages indicated above can be readily computed using the formula below:

Percentage = (Value/Total Value) × 100

The amount as a percent = (Value/Total Value) × 100

The amount as a percent = (3/20) × 100

The amount as a percent = 15%

Thus, the amount as a percentage is 15% which represents the number 1 to 20 containing the digit 2.

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Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

A p-value is a probability.

A p-value is the probability of obtaining a test statistic as extreme or more extreme.

The observed value, assuming the null hypothesis is true.

It ranges in value from 0 to 1 and represents the strength of evidence against the null hypothesis.

A p-value cannot be negative, as it is a probability and probabilities are always between 0 and 1.

A p-value also cannot be larger than 1, as it represents a probability.

A probability cannot exceed 1.

Finally, a p-value cannot be smaller than 0, as it represents a probability.

A probability cannot be negative.

the correct option is b. is a probability.

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Answer:

The two will retain its unit place value

Step-by-step explanation:

We are given the number 506,092

Which is stated in words as

"Five hundred and six thousand and ninety two"

2 represents 2 units in the number

When we shift 2 by two places to the right, the number becomes

50,609,002

We can still see that "two" still retains it unit place value and the whole number now reads fifty million six hundred and nine thousand and 2

Answer: No

Step-by-step explanation:

The domain consists of the numbers 6, 5, 6, 2

6 is repeated twice

The criteria for a function is that there are no repeating numbers in the domain

This does not follow the criteria, therefore this is not a function

Answer-No

5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

The false statement based on the given interval is: c) The sample average is 36 inches.

In the provided 90% confidence interval for the average annual precipitation in the US (33 inches to 39 inches), the sample average is not necessarily 36 inches. The interval represents the range of values within which the true population average is estimated to fall with 90% confidence. The sample average is the point estimate, but it may or may not be exactly in the middle of the interval.

Therefore, statement c) is false, as the sample average is not specifically determined to be 36 inches based on the given interval.

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Answer:

The answer is "287.19"

Step-by-step explanation:

Please find the complete question in the attached file.

\(\alpha=1-0.90=0.10\\\\\frac{\alpha}{2}=0.05\\\\Z=1.64\\\\Marginal \ error=Z \times \frac{\sigma_x}{\sqrt{n}}\\\\n=(\frac{Z \times \sigma_x}{error})^2\\\\n=(\frac{1.64 \times 31}{3})^2\\\\n=287.1895\approx 287.19\)

Subtract the faster speed:

721.6 - 8.4 = 713.2

Divide by 2 trains:

713.2/2 = 356.6

The slower train is going 356.6 miles per hour.

The faster train is going 356.6 + 8.4 = 365 miles per hour.

The nuclear reaction is: 235/92 U → 4/2 He + 231/90 Th
This reaction represents alpha emission, where an alpha particle is emitted from the uranium-235 nucleus, resulting in the formation of thorium-231.

The nuclear reaction that is an example of alpha emission is:

235/92 U → 4/2 He + 231/90 Th

In this reaction, an alpha particle (4/2 He) is emitted from a uranium-235 (235/92 U) nucleus, resulting in the formation of thorium-231 (231/90 Th).

Alpha emission is a type of radioactive decay in which an unstable nucleus emits an alpha particle, which consists of two protons and two neutrons. This emission reduces the atomic number of the nucleus by 2 and the mass number by 4.

In the given reaction, the uranium-235 nucleus (235/92 U) undergoes alpha decay by emitting an alpha particle (4/2 He). The resulting nucleus is thorium-231 (231/90 Th).

So, to summarize:

- The nuclear reaction is: 235/92 U → 4/2 He + 231/90 Th
- This reaction represents alpha emission, where an alpha particle is emitted from the uranium-235 nucleus, resulting in the formation of thorium-231.

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\(\huge\tt\pink{Answer}\)

A≈852.83cm²

Radius

7cm

Height

31cm

Answer:

2

Step-by-step explanation:

a2 = a1×3

a3 = a2×3 = a1×3×3

=>

an = an-1 × 3 =

\(a1 \times {3}^{n - 1} \)

a5 = 162 = a1×3⁴ = a1×81

a1 = 162/81 = 2

¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

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After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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Answer: 5 plastic boards

Step-by-step explanation:

Given that:

10 identical rectangles with dimension (6cm by 10cm) is to be cut from plastic boards

Dimension of plastic boards = (15 cm by 20 cm)

Each rectangle to be cut should be in one piece :

Hence number of rectangles that can be cut from one plastic board :

Dimension of plastic board / dimension of triangle to be cut

= (15cm by 20cm) / (6cm by 10 cm) = 2.5 by 2

Sine we do not joining:

2 identical rectangles can be cut from one plastic board.

Hence the smallest number of plastic boards to be used is :

Total number of identical rectangles needed / number that can be cut from one plastic board

= 10 / 2

= 5 plastic boards

Given:

Perimeter of rectangle is 78 feet

Let the width of the rectangle be w

Then the length of the rectangle be 2w

Now, the perimeter is given by the formula:

Substitute l= 2w and b=w

Given perimeter = 78 feet so,

Hence, the width of rectangle is 13 feet

The length of rectangle is 2w= 2(13)=26 feet.

5x - 3(x + 9) + 10 = 4

\( \implies \)\(5x - 3x - 27 + 10 = 4\)

\( \implies \)\(2x - 17 = 4\)

\( \implies \)\(2x = 4 + 17\)

\( \implies \)\(2x = 21\)

\( \implies \)\(x = \frac{21}{2} \)

Answer:

Yes

Step-by-step explanation:

To check, the squared values of the two smaller lengths must equal the squared value of the biggest length (Pythagorean Theorem)

40² + 75² = 85²

1600 + 5625 = or ≠ 7225

7225 = 7225

It is equivalent so it is correct.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

MJ = 6.5

Step-by-step explanation:

Tangent lines to a circle are perpendicular to the radius.

tan 68° = JL/3

2.4751 = JL/3

JL = 7.4253

∠JLK = 90° - 68° = 22°

∠MLJ = 61° - 22° = 39°

sin 61° = MJ/7.4253

MJ = 7.4253(0.8746) =  6.5

The length of radius MJ is 5.99 units

Start by calculating the length JL using the following tangent ratio

tan(68°) = JL/3

Make JL the subject

JL = 3 * tan(68°)

Evaluate the product

JL = 7.4

From the figure, the measure of angle MLJ is:

∠MLJ = MLK - JLK

Where:

∠JLK = 90° - 68° = 22°

So, we have:

∠MLJ = 61 - 22

∠MLJ = 39

The radius MJ is then calculated using the following tangent ratio

tan(39) = MJ/JL

This gives

tan(39) = MJ/7.4

Make MJ the subject

MJ = 7.4 * tan(39)

Evaluate

MJ = 5.99

Hence, the length of radius MJ is 5.99 units

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Answer:

1.35

Step-by-step explanation:

Answer:

Answer is A probably

Step-by-step explanation:

X2-x=20-2x

On comparison we can figure that out

Still I'm a 8th grader so my answer can be wrong