Read the photo I've attached

5

1/4n + 3

plug 8 in for n so 1/4(8) + 3

1/4 × 8 = 2

2 + 3 =5

Answer:

x≤47

Step-by-step explanation:

2x−3(3x−4)≥8

Step 1: Simplify both sides of the inequality.

−7x+12≥8

Step 2: Subtract 12 from both sides.

−7x+12−12≥8−12

−7x≥−4

Step 3: Divide both sides by -7.

−7x−7≥−4−7x≤47

Answer:x≤47

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

C = 6 pi ft

Step-by-step explanation:

Circumference is given by

C = 2*pi*r

C = 2 * pi *3

C = 6 pi ft

Answer:

what are you talking about dude.

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

Probability (not green) = 21 / 29

Step-by-step explanation:

Given:

Number of red marble = 10

Number of green marble = 8

Number of blue marble = 5

Number of white marble = 6

Find:

Probability (not green)

Computation:

Total marble = 10 + 8 + 5 + 6

Total marble = 29

Probability (not green) = 1 - (Probability of green marble))

Probability (not green) = 1 - (8 / 29)

Probability (not green) = 21 / 29

The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

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The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

Given that 2y = x + 2

To graph the following equation, we need two solutions

To find x, put y = 0

To find y, put x = 0

The two solutions to be graph is (-2, 0) and (0, 1)

Answer:

Step-by-step explanation:

Given the question and the image, the following are the solution steps to answer the question.

STEP 1: Define box plot.

In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread, and skewness groups of numerical data through their quartiles.

STEP 2: Choose the correct statement

The box plot shows the minimum height, maximum height, first and third quartiles, and the median.

Therefore,

The box plot does not show the number of vases recorded

The box plot does not show the heights of mugs, just vases.

The height is measured in inches, not centimeters.

Answer:

-12p^7q^9

Step-by-step explanation:

(-2/3Pq^4)^2×(-27P^5q)

= ((-2)^2)/3^2 × P^2 q^4-2 × (-27qp^5)

= ((-2)^2)/3^2 × 27p^7q9

= (((-2)^2 x 27p^7q9)/3^2

= -((4×27p^7q^9)/9)

= -(108p^7q^9)/9

= -12p^7q^9

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

the answer is in the picture.. if you have any questions feel free to ask

Answer: (-1, 0)

Step-by-step explanation: It is the only point that crosses the x-axis and is an answer choice.

Please mark BrainliesT!

Answer:

Step-by-step explanation:

dfcfd

Answer:

52°

Step-by-step explanation:

tanФ = 31/24

Answer:

W = 150 + 0.05s

Step-by-step explanation:

Let his total weekly earnings be W.

He has a fixed wage of $150 per week plus a 5% commission on his total weekly sales, s.

Thus, sales per week is 0.05s.

Therefore total weekly earnings can be written as;

W = 150 + 0.05s

Answer:

Step-by-step explanation:

it means the ABC And DEF have side lengths of 15,19, 25

so 3x-3 = 15

x = 6

5-y = 19

so y = -14

Answer:

30p + 5

You do destibutive property

(6p+1)(5)

6p * 5

1 * 5

=30p+5

The simplified expression for 2a + 5b - 4b - 1 is 2a + b - 1.

To simplify this expression, we first combine like terms. We have 5b and -4b, which combine to give us b. We also have 2a and no other like terms, so we leave that as is. Finally, we have the constant term -1, which remains the same. Thus, our simplified expression is 2a + b - 1.

It is important to note that when combining like terms, we only combine terms with the same variables and same exponents. In this case, we had two terms with the variable b, but no other terms with that variable. Similarly, we had one term with the variable a, and no other terms with that variable. This allowed us to combine like terms and simplify the expression.

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Therefore, the power series representation of ∫ \(x^2 ln(1 + x) dx\) is: ∫ \(x^2 ln(1 + x) dx = x^4/4 - x^5/10 + x^6/18 - x^7/28 + ..\) with a radius of convergence of 4.

To evaluate the indefinite integral ∫ \(x^2 ln(1 + x) dx\) as a power series, we can expand the natural logarithm function using its power series representation and then integrate each term of the resulting power series.

The power series representation of ln(1 + x) is:

ln(1 + x) \(= x - x^2/2 + x^3/3 - x^4/4 + ...\)

Using this representation, we can rewrite the integral as:

∫ \(x^2 ln(1 + x) dx\) = ∫ \(x^2 (x - x^2/2 + x^3/3 - x^4/4 + ...) dx\)

Now, let's integrate each term of the power series:

∫\(x^2 (x - x^2/2 + x^3/3 - x^4/4 + ...) dx\)

= ∫ \((x^3 - x^4/2 + x^5/3 - x^6/4 + ...) dx\)

=\(x^4/4 - x^5/10 + x^6/18 - x^7/28 + ...\)

The resulting power series representation of the integral is:

\(x^4/4 - x^5/10 + x^6/18 - x^7/28 + ...\)

To find the radius of convergence, we can apply the ratio test. Let's consider the ratio of consecutive terms:

|aₙ₊₁ / aₙ| \(= |x^(n+4)/4 / x^(n+3)/4| = |x/4|\)

The series converges if |x/4| < 1, which means that the radius of convergence is 4.

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Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

By applying the Triangle Inequality Theorem, the number of non-identical triangles that can be made using the given side lengths is one.

In Mathematics, the Triangle Inequality Theorem can be defined as a type of theorem which states that the sum of any two (2) side lengths of a triangle must be greater than the measure of the third (2) side.

This ultimately implies that, the sum of the lengths of any two (2) sides of a triangle cannot be less than the length of the third (3) side of the triangle in accordance with the Triangle Inequality Theorem, as represented by this mathematical expression:

b - c < a < b + c

Where:

a, b, and c represent the side lengths of this triangle.

By applying the Triangle Inequality Theorem to the side lengths of this triangle, the number of non-identical triangles is given by:

5 + 7 > 10

12 > 10 (True).

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Answer -rational numbers and irrational numbers

Using number sets, it is found that the set of dense numbers is composed of rational and irrational numbers. Therefore, option C is the correct answer.

From options, we need to check which answer describes the type of numbers that are dense.

Numbers are an integral part of our everyday lives, right from the number of hours we sleep at night to the number of rounds we run around the racing track and much more. In math, numbers can be even and odd numbers, prime and composite numbers, decimals, fractions, rational and irrational numbers, natural numbers, integers, real numbers, rational numbers, irrational numbers, and whole numbers.

Numbers can be classified as:

Whole numbers: All positive numbers and 0, so: {0,1,2,...}

Integer numbers: Positive or negative, not decimal so: {...,-2,-1,0,1,2,....}

Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459 (4459 repeating is the pattern).

Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339, which can be approximated to the rational 0.1.

Real numbers: Rational plus irrational.

A subset is dense of the rational numbers if all numbers can be approximated to rational numbers, and thus, rational and irrational numbers are dense.

Therefore, option C is the correct answer.

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As a result of answering the given question, we may state that As a equation result, after 21 years, approximately 31 grammes of Element X would be left.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides separated by an equals sign (=). For example, the equation "2x + 3 = 9" argues that the expression "2x + 3" is equal to the value "9". The purpose of equation solving is to determine the value or values of the variable(s) that make the equation true. Simple or complex equations, linear or nonlinear, and involving one or more variables are all possible. For example, the quadratic equation "x2 + 2x - 3 = 0" involves the variable x raised to the second power. Equations are utilised in many areas of mathematics, such as algebra, calculus, and geometry.

We can use the radioactive decay formula:

m(t) = m₀ * (1/2)^(t/T)

where:

m(t) is the element's mass after t years.

m0 is the element's starting mass.

T is the element's half-life.

We know that Element X has a half-life of 23 years, hence T = 23 years.

We wish to find m(21), the element's mass after 21 years.

m(21) = 80 * (1/2)^(21/23)

m(21) ≈ 31

As a result, after 21 years, approximately 31 grammes of Element X would be left.

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The table for the graph is

x   -2  -1  0  1  2

y  -4   -2 0  2  4

The similarity is: Both lines have positive slopes

The difference is: Both lines have different slopes

From the question, we have the following parameters that can be used in our computation:

y = 2x

The missing y values are at x = 0 and x = 2

So, we have

y = 2 * 0 = 0

y = 2 * 2 = 4

We have

y = x

y = 2x

From the above, the similarity is:

Both lines have positive slopes

And, we have the difference to be

Both lines have different slopes

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Answer:

below

Step-by-step explanation:

it was the first thing I saw

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Answer:

90

Step-by-step explanation:

ßimple answer no needs to panic

Answer:

<ACB = 50

Step-by-step explanation:

7x-20+4x+90=180

11x= 180-70

x = 110/11

x = 10

Now,

<ACB = 7x-20

=7*10-20

=70-20

=50