10. Determine whether the inequality is always, sometimes, or never true. (1 point)
4x-8>1 + 4(x+3)
always
sometimes
Onever

Answer:

x<6 is the answerrrrr

Step-by-step explanation:

hope it helps give me brainliest

The sequence \(a_n = 6n + \frac{(-1)^n}{6n}\) is not monotonic the correct answer is option c) not monotonic; bounded below by 5/6 and above by 13/12.

To see this, consider the even terms and odd terms separately. For even n, an = 6n + 1/6n is increasing, since adding a positive term to 6n will make the sequence larger. For odd n, an = 6n - 1/6n is decreasing, since subtracting a positive term from 6n will make the sequence smaller. Therefore, the sequence is not monotonic.

However, the sequence is bounded below by 5/6 and above by 13/12. To see this, note that for even n, an is always greater than or equal to 5/6 (since the term \(\begin{equation}(-1)^n \frac{1}{6n}\end{equation}\) is always positive). For odd n, an is always less than or equal to 13/12 (since the term \(\begin{equation}(-1)^n \frac{1}{6n}\end{equation}\) is always negative). Therefore, the sequence is bounded below by 5/6 and above by 13/12.

Therefore, the correct answer is option c) not monotonic; bounded below by 5/6 and above by 13/12.

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Answer:

11 marbles in each pile

Step-by-step explanation:

First, add all of them together, 8+9+5 = 22, then divide 22 by 2 for each pile. The answer is 11

A probability is given by the division of the number of desired outcomes by the number of total outcomes.

The total number of games is given as follows:

5 + 11 + 6 + 6 = 28.

He scored 2 touchdowns in 6 games, hence the probability is of:

p = 6/28 = 3/14.

He scored more than 1 touchdown in 6 + 6 = 12 games, hence the probability is of:

p = 12/28 = 6/14 = 3/7.

The estimated value is the mean, which is the sum of all observations divided by the number of values, hence:

Mean = (0 x 5 + 1 x 11 + 2 x 6 + 3 x 6)/28 = 1.46 touchdowns.

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The radius of the circle is 10 inches.

A sector is a part of a given circle which is made from two radii and an arc. It's area can be determined by;

area of a sector = θ/360*πr^2

where θ is the measure of its central angle, and r is its radius.

Then from the given question, we have;

area of a sector = θ/360*πr^2

162 = 180/360 *3.14*r^2

      = 1.57r^2

r^2 = 162/1.57

     = 103.1847

So that;

r = (103.1847)^1/2

 = 10.16

The radius of the circle is approximately 10 inches.

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Do long division (see the attachment).

\(\dfrac{1}{22}=0.04545\ldots=0.0\overline{45}\)

Answer:

\((3x^2-5x-19)$ Square feet of brick\)

Step-by-step explanation:

\(\text{The total area of the brick and pool }=6x^2 - 21\\\text{The area of the pool }= 3x^2 + 5x - 2. \\\)

The total area of the brick and pool =Area of the Brick + Area of the Pool

Therefore:

Area of the Brick=Total area of the brick and pool-Area of the Pool

\(=(6x^2 - 21)-(3x^2 + 5x - 2)\\=6x^2-21-3x^2-5x+2\\$Collect like terms\\=6x^2-3x^2-5x-21+2\\$Simplify\\=(3x^2-5x-19)$ Square feet\)

The inequality expression is 329.92 + 65.65x <= 540 and the solution is x < 4

The given parameters are:

The summation of the above listed items must not exceed the budget (this is represented by less than or equal to)

So, we have:

269.88 + 10.57 * 4 + 17.76 + 65.65 * x <= 540

Evaluate the product

So, we have:

269.88 + 42.28 + 17.76 + 65.65x <= 540

Evaluate the sum

329.92 + 65.65x <= 540

Subtract 329.92 from both sides

65.65x <= 210.08

Divide both sides by 65.65

x <= 3.2

Rewrite as:

x < 4

Hence, the inequality expression is 329.92 + 65.65x <= 540 and the solution is x < 4

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Answer:

Step-by-step explanation:

A transversal is a line that is intersecting at 2 points. Let's verify all options to see which one is the odd one out.

Option A

This line is a transversal to AC because it is intersecting in between AC. Hence, Option A is incorrect for this question.

Option B

This line is also a transversal to AC because it is intersecting in between AC. Hence, Option B is incorrect for this question.

Option C

This line is not a transversal because it is not intersecting AC. Hence, this will be the correct answer for this question.

Option D

This line is a transversal because it is intersecting in between AC. Hence, Option D is incorrect for this question.

After verifying all options, Option C is the most reasonable option. Hence, Option C is correct.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

x=12

Step-by-step explanation:

Im not sure which measure you're talking about, but I'll show you what I did here:

A triangle = 180 degrees.

4x + 8x + 4x =16x

-8 - 1 - 3 = -12

180 = 16x - 12        -Add 12 to both sides

192 = 16x               -divide by 16 to get x by itself

12 = x

Angle A = 88 degrees (8 times 12 then subtract 8)

Angle B = 47 degrees (4 times 12 then subtract 1)

Angle C = 45 degrees (4 times 12 then subtract 3)

Answer:

using math

Step-by-step explanation:

i learned this

The length should be x ≥ 3 inch and 4x ≥ 12 square inches.

What is linear inequality?

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠), can take the place of the equal sign "=" in this expression. Polynomial inequality, rational inequality, and absolute value inequality are the various kinds of mathematical inequalities.

Given a rectangle, length  = 4 inches

area is at least 12 square inches

inequality equation for area

A ≥ 12

area  = l x b

where l = length = 4 inches and b = breadth = x

A ≥ 12

4x ≥ 12

x ≥ 3 inches

Hence the breadth should be x ≥ 3 inches and equation of area is

4x ≥ 12 square inches.

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Answer:

4

Step-by-step explanation:

Multiplication Property of equality.

multiply 5 on both side to have x alone on One side.

Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9% compounded annually. Therefore,  the amount available for Peter's child education will be $147,330.55.

Given that Michael is saving $7,000 per year for his child's education which will occur in 13 years. If the interest rate is 9% compounded annually,

The problem of finding the amount of money Michael will have saved in 13 years is a compound interest problem.

In this case, the formula for calculating the future value of the annuity is: $FV = A[(1 + r)n - 1] / r

where: FV is the future value of the annuity, A is the annual payment,r is the annual interest rate, and n is the number of payments.

Using the above formula; the future value of Michael's savings is:

FV = 7000[(1 + 0.09)^13 - 1] / 0.09= 7000(1.09^13 - 1) / 0.09= 147,330.55

Therefore, the amount available for Peter's child education will be $147,330.55.

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We have f^(-1)(f(x)) ≤ f^(-1)(f(y)) for all x ≤ y in [0, 1]. But f^(-1)(f(x)) = x and f^(-1)(f(y)) = y, so x ≤ y implies f^(-1)(x) ≤ f^(-1)(y). Hence, the inverse function f^(-1) is also an increasing function.

To show that the subset H of G, which consists only of increasing functions, is a subgroup of G under composition, we need to verify two conditions: closure and inverses.

Closure: We need to show that if f and g are increasing functions in H, then their composition f ∘ g is also an increasing function.

Let's assume that f and g are increasing functions in H. To prove closure, we need to show that (f ∘ g)(x) ≤ (f ∘ g)(y) for all x ≤ y in the unit interval [0, 1].

Since f and g are increasing functions, we have f(x) ≤ f(y) and g(x) ≤ g(y) for all x ≤ y in [0, 1]. Now, consider the composition (f ∘ g)(x) = f(g(x)) and (f ∘ g)(y) = f(g(y)). Since f and g are increasing, we have f(g(x)) ≤ f(g(y)) for all x ≤ y in [0, 1]. Therefore, the composition f ∘ g is also an increasing function.

Inverses: We need to show that if f is an increasing function in H, then its inverse function f^(-1) is also an increasing function.

Let's assume that f is an increasing function in H. To prove the existence of inverses, we need to show that if f(x) ≤ f(y) for all x ≤ y in [0, 1], then f^(-1)(x) ≤ f^(-1)(y) for all x ≤ y in [0, 1].

Since f is an increasing function, if f(x) ≤ f(y), it implies that x ≤ y. Therefore, we have f^(-1)(f(x)) ≤ f^(-1)(f(y)) for all x ≤ y in [0, 1]. But f^(-1)(f(x)) = x and f^(-1)(f(y)) = y, so x ≤ y implies f^(-1)(x) ≤ f^(-1)(y). Hence, the inverse function f^(-1) is also an increasing function.

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Answer: 180

Step-by-step explanation:

Let the tons of ice the ship was carrying when it set sail be y.

We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.

This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:

2/3 × y = 120

2y/3 = 120

2y = 120 × 3

2y = 360

y = 360/2

y = 180

The ship was carrying 180 tons of ice when it set sail

Answer:

113.04 im not sure though, I would double check first (:

Step-by-step explanation:

The required equations that are equivalent to each other are,

(A)  2 + x = 5    (B) x + 1 = 4   (E) -5 + x = -2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Given equations,

(A) 2 + x = 5

Simplifying the above expression,

x = 5 - 2

x = 3

Similarly, simplify all the equations,

(B) x = 3

(C) x = -3

(D) x = 11

(E) x = 3

Therefore, equations that give x = 3, after simplification is equivalent equations.

Thus, the requried equations that are equivalent to each other are,

(A)  2 + x = 5    (B) x + 1 = 4   (E) -5 + x = -2.

The median of the given data set as required to be determined in the task content is; 4.

It follows from the task content that the value which represents the median of the data set is to be determined.

By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.

Consequently, the median of the data set as required is; 4.

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Therefore, the volume of the resulting solid is approximately 35728.458 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the hole from the volume of the ball.

Volume of the ball: V_ball = (4/3) * π * (radius)^3

Volume of the hole: V_hole = (4/3) * π * (radius_hole)^3

In this case, the radius of the ball is 14, and the radius of the hole is 4.

Volume of the resulting solid = V_ball - V_hole

= (4/3) * π * (14^3) - (4/3) * π * (4^3)

= (4/3) * π * (14^3 - 4^3)

= (4/3) * π * (2744 - 64)

= (4/3) * π * 2680

≈ 35728.458 cubic units

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Answer:

\(\huge\boxed{\sf h \approx 7\ in}\)

Step-by-step explanation:

Volume = V = 2908.33 in³

Radius = r = 11.5 in.

π = 3.14

Height = h = ?

\(V= \pi r^2 h\)

Put the given data in the above formula.

2908.33 = (3.14)(11.5)²(h)

2908.33 = (3.14)(132.25)(h)

2908.33 = 415.265 (h)

2908.33/415.265 = h

\(\rule[225]{225}{2}\)

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer:

1.48

Step-by-step explanation:

my calculator said sqrt(2.2)=1.48

(-4) (5)= -20

I hope it's helpful

Answer:

the answer isosceles

Step-by-step explanation:

well, an isosceles triangle as two equal angles

hope this was helpful

Answer:

A

Step-by-step explanation:

Answer:

c x-110

Step-by-step explanation:

if im wrong im so sorry