-n Time Which statement is true for the sequence defined as 12 +22+32+...+ (n + 2)² ? an = 2n2 +11n + 15 º Monotonic, bounded and convergent. O Not monotonic, bounded and convergent. Monotonic, boun

Answer:guess

Step-by-step explanation:?

A trigonometric ratios calculator is a tool that helps you find the sine, cosine, and tangent ratios in a right triangle. To use a trigonometric ratios calculator, you need to enter the lengths of the sides of the right triangle and the calculator will calculate the values of the sine, cosine, and tangent ratios for the angles in the triangle.

Here's how you can use a trigonometric ratios calculator to find the sine, cosine, and tangent ratios in a right triangle:

1. Enter the lengths of the sides of the right triangle into the calculator.

2. Select the angle for which you want to find the trigonometric ratios.

3. The calculator will display the values of the sine, cosine, and tangent ratios for the selected angle.

Note that the trigonometric ratios are defined only for right triangles, so it's important to make sure that the triangle you are working with is a right triangle before using a trigonometric ratios calculator.

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A trigonometric ratios calculator is a tool that helps you find the sine, cosine, and tangent ratios in a right triangle. To use a trigonometric ratios calculator, you need to enter the lengths of the sides of the right triangle and the calculator will calculate the values of the sine, cosine, and tangent ratios for the angles in the triangle.

Here's how you can use a trigonometric ratios calculator to find the sine, cosine, and tangent ratios in a right triangle:

1. Enter the lengths of the sides of the right triangle into the calculator.

2. Select the angle for which you want to find the trigonometric ratios.

3. The calculator will display the values of the sine, cosine, and tangent ratios for the selected angle.

Note that the trigonometric ratios are defined only for right triangles, so it's important to make sure that the triangle you are working with is a right triangle before using a trigonometric ratios calculator.

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Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular, so ∠AED = 90° and ∠BEC = 90°.

∠DAE = 180° - ∠AED - ∠EDA = 180° - 90° - 35° = 55°

BD is a transversal across parallel sides AD and BC, so ∠EBC = ∠EDA = 35°.

∠BCE = 180° - ∠BEC - ∠EBC = 180° - 90° - 35° = 55°

The property illustrated in (2 + 1) + (6 + 5) = (6 +5) +(2 + 1) is the commutative property of addition

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

(2 + 1) + (6 + 5) = (6 +5) +(2 + 1)

In the above expression, we can see that

The terms of the expression are swapped

This can be illustrated as

if a + b = b + a

The name of the property is the commutative property of addition

Hence, the name of the property illustrated in (2 + 1) + (6 + 5) = (6 +5) +(2 + 1) is the commutative property of addition

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Answer:

$6

Step-by-step explanation:

you will save 6 dollars per item

Answer:

its B

Step-by-step explanation:

Answer:

b. data from our experiment

Step-by-step explanation:

Answer:

\(162.07\)

Step-by-step explanation:

An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:

\((angle\ of\ depression) + (angle\ of \ sight)=90\)

Substitute,

\((angle\ of\ depression) + (angle\ of \ sight)=90\)

\((m<ABD)+(m<DBC)=90\)

\(42+(m<DBC)=90\)

Inverse operations,

\(42+(m<DBC)=90\)

\(m<DBC=48\)

Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:

\(sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\)

Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.

In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).

\(tan(\theta)=\frac{opposite}{adjacnet}\)

Substitute,

\(tan(48)=\frac{180}{adjacent}\)

Inverse operations,

\(tan(48)=\frac{180}{adjacent}\)

\(adjacent=\frac{180}{tan(48)}\)

\(adjacent=162.07\)

Answer:

Slope = - 8

y-intercept = - 4

Step-by-step explanation:

\(y= -8x -4 \\ \\ equating \: it \: with \\ \\ y = mx + b \\ \\ slope \: (m) = - 8 \\ \\ y - intercept \: (b) = - 4\)

Answer:

80 miligrams

Step-by-step explanation:

100 / 250 = 0.4

0.4 * 200 = 80

Answer:

It would take \(2.7\) seconds, correct to 1 decimal place/nearest tenth.

Step-by-step explanation:

Step 1: Understanding the formula

The formula is given as \(h=16t^{2}\), where \(h\) represents the height, and \(t\) represents the time.

Step 2: Substituting and solving

The question asks for the time that would take when the height is \(117~\text{feet}\).

So, substitute \(117\) for \(h\) in the formula, since \(h\) denotes the height:

\(h=16t^{2}\\117=16t^{2}\)

Now, let's solve the equation to find the time, \(t\):

\(117=16t^{2}\\\\\text{Divide by 16 on both sides of the equation:}\\\frac{117}{16}=\frac{16t^{2}}{16}\\\\\text{Simplify:}\\7.3125=t^{2}\\\\\text{Square root both sides of the equation:}\\\sqrt{7.3125}=\sqrt{t^{2}}\\\\\text{Calculate:}\\2.7 \approx t\\\\\text{Rearrange the equation:}\\t\approx2.7\)

So, it takes about \(2.7\) seconds to travel \(117\) feet, according to the formula.

The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

Answer:

f(6) = 53

Step-by-step explanation:

f(x) = 10x - 7

We want to find f(6)

To do so simply substitute 6 for x in the equation

Equation: 10x - 7

x = 6

f(6) = 10(6) - 7

multiply 10 and 6

f(6) = 60 - 7

subtract

f(6) = 53

Answer:

\(f(x)=53\)

Step-by-step explanation:

For \(f(x)=10x-7\\\) substitute x for 6

\(10\cdot 6=60\\60-7=53\)

\(f(6)=53\)

Answer:

I don't think It's possible to have a division equation for this problem, However here is a multiplication one: 14 * 7  =  x

x = 98

Step-by-step explanation:

14 * 7  =  x

This works because there are 7 days in a week, and he ran for 14 weeks. 14 times 7 = 98. So x = 98.

Not sure if this helped, feel free to message me if you want a division equation for this? Maybe I can still help.

Answer:

1.5 mile an hour

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

If in half an hour 3/4 miles, and there are 2 halves in an hour add 3/4 + 3/4 and you will get 2/3 as an answer.

The equation represents the average sales each day for the real estate company is,

s = (t + 4) / (t - 5)

Since, The equivalent is the expressions that are in different forms but are equal to the same value.

A real estate company balances the books for its business on the first day of each month.

It hopes to sell houses every other day of the month.

The average number of houses, S, the company sells each day, t, is represented by the inverse of the function is given below.

s = (t² + 3t - 4) / (t² - 7t + 6)

s = (t² + 4t - t - 4) / (t² - 6t - t + 6)

s = t (t + 4) - 1 (t + 4) / (t - 1) (t + 5)

s = (t + 4) / (t - 5)

Then, equation represents the average sales each day for the real estate company is,

s = (t + 4) / (t - 5)

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If Ethan watches fewer than 6 movies per month, Plan A would be more expensive. If he watches more than 6 movies per month, Plan B would be more expensive.

For Plan A, the monthly cost is composed of a fixed fee of $28 plus a variable fee of $2.50 per movie watched. So, if Ethan watches x movies per month, the monthly cost for Plan A can be represented by the equation:

A = 28 + 2.5x

Here, A represents the monthly cost of Plan A, and x represents the number of movies Ethan watches per month.

For Plan B, the monthly cost is also composed of a fixed fee of $37, but the variable fee per movie watched is only $1. So, if Ethan watches x movies per month, the monthly cost for Plan B can be represented by the equation:

B = 37 + 1x

Again, B represents the monthly cost of Plan B, and x represents the number of movies Ethan watches per month.

To find the number of monthly movies watched, x, that would make the two plans have an equal monthly cost, we need to solve the equation:

A = B

So, we can substitute the equations for A and B to get:

28 + 2.5x = 37 + 1x

Now we can solve for x:

2.5x - 1x = 37 - 28

1.5x = 9

x = 6

So, if Ethan watches 6 movies per month, the monthly cost of Plan A and Plan B would be equal, at $41 per month.

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The object with the features described is (a) Object A

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

Part = parallelogram

Base = twice Its height

Longer sides = side of a scalene triangle.

Using the above as a guide, we have the following:

We examine the options

So, we have

Object (a)

Part = parallelogram

Base = twice Its height

Longer sides = side of a scalene triangle.

Other objects do not have the above features

Hence, the object is object (a)

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Answer:

Depends on the x value

Step-by-step explanation:

f(x) can only be a function if the x values are not repeating.

Answer:

I believe the answer is 943,158,670.349

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

A. 3561 ft²

Step-by-step explanation:

πr² = the area of a circle

base · height = volume

9²π = 254.47

254.47 · 14 = 3561

Answer:

He paid $2.35 for each pair of socks.

An equation using the variable S is

$77.99 = 9S + (3 × $8.28) + $32

Step-by-step explanation:

Let S be the cost of a pair of socks

From the question, Mark purchase nine pairs of socks, that is, the total cost of the pairs of socks is 9S

He purchase three packages of undershirts for $8.28 each; the total cost of the three packages of shirt will be 3 × $8.28 = $24.84

and he also purchase a pair of pants for $32

Since he spent a total of $77.99, we can write that

$77.99 = 9S + (3 × $8.28) + $32

Now, we can determine S, the cost of a pair of socks

$77.99 = 9S + (3 × $8.28) + $32

$77.99 = 9S + $24.84 + $32

$77.99 = 9S + $56.84

9S = $77.99 - $56.84

9S = $21.15

S = $21.15/9

S = $2.35

Hence, he paid $2.35 for each pair of socks.

Null hypothesis: The average lifespan of the heaters is equal to or greater than 5 years

Alternative hypothesis: The average lifespan of the heaters is less than 5 years.

In hypothesis testing, the null hypothesis (H0) is a statement that assumes no significant difference between a sample statistic and a population parameter. The alternative hypothesis (Ha) is a statement that contradicts the null hypothesis and asserts that there is a significant difference between the sample statistic and the population parameter.

In this scenario, the company claims that its heaters last less than 5 years. We can express this claim as the alternative hypothesis (Ha), which states that the average lifespan of the heaters is less than 5 years.

On the other hand, the null hypothesis (H0) is a statement that assumes that the average lifespan of the heaters is equal to or greater than 5 years. This is the default assumption until evidence is found to support the alternative hypothesis.

To test these hypotheses, we would collect a sample of heaters and measure their lifespans. We would then calculate the sample mean and compare it to 5 years. If the sample mean is significantly less than 5 years, we would reject the null hypothesis and conclude that the average lifespan of the heaters is less than 5 years.

In summary, the null and alternative hypotheses for this scenario are:

Null hypothesis (H0): The average lifespan of the heaters is equal to or greater than 5 years.

Alternative hypothesis (Ha): The average lifespan of the heaters is less than 5 years

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In an isosceles triangle with legs of length 18 and a base of 14, the angles can be determined using trigonometric properties and the Pythagorean theorem.

Let's denote the two congruent legs of the isosceles triangle as 'a' and the base as 'b'. In this case, 'a' would be 18 and 'b' would be 14. Since the triangle is isosceles, the two congruent angles opposite the congruent legs are equal.

To find the angles, we can use the law of cosines, which states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

Plugging in the values, we have:

18^2 = 14^2 + 14^2 - 2 * 14 * 14 * cos(C)

Simplifying the equation:

324 = 196 + 196 - 392 * cos(C)

324 = 392 - 392 * cos(C)

392 * cos(C) = 392 - 324

cos(C) = (392 - 324) / 392

cos(C) = 68 / 392

cos(C) = 17 / 98

Now, we can find the angle C by taking the inverse cosine (arccos) of (17/98).

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Answer:

-7 is in our domain.

0 is in our domain

7 is not in our domain.

Step-by-step explanation:

So we have the rational function:

\(f(x)=\frac{x}{x-7}\)

The domain restrictions of rational functions are the zeros of the denominator.  In other words, the domain of rational functions are always all real numbers except for the zeros of the denominator.

So, solve for the denominator by setting it to 0:

\(x-7=0\)

Add 7 to both sides:

\(x=7\)

So, our domain is all real numbers except for 7.

(When x=7, we have 7/0, which is undefined.)

Therefore:

-7 is in our domain.

0 is in our domain

7 is not in our domain.

Answer:

the picture has it all!

whatever equals zero is not the domain and whatever doesnt equal zero is the domain!

hope i helped :)

Answer:

x=5(20)+3(20)

Step-by-step explanation:

where x is the total amount spent

please mark brainliest.

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

8% or 74

Step-by-step explanation:

930 x 0.92 = 856

930 - 856 = 74

Have a great day!!

Please rate and mark brainliest!!

In a survey of 930 students in a school, 92% reported having pets at home then margin of error is 3.3%.

percentage, a relative value indicating hundredth parts of any quantity.

In a survey of 930 students in a school.

92% reported having pets at home.

We need to find the margin of error.

The formula for margin of error=±1/√n

Where n is number of students

margin of error=±1/√930

=±1/√930

=±1/30.45

=±0.033

Now let us multiply with hundred.

=3.3%

Hence, In a survey of 930 students in a school, 92% reported having pets at home then margin of error is 3.3%.

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Answer:

20ft

Step-by-step explanation:

Quick reasoning: pick the ratio and start adding both values as many times as you reach the value you need: You start with 11:5, add once, you get 22:10; add again, you get 33:15. Add one final time, you get 44:20.

More rigorous: You want to see how many times the length fit in the ratio: that means dividing the length by the first term of the ratio, or 44/11 = 4. At this point you multiply the second term by the number you just found, ie 5x4= 20.