To choose a mascot for a new middle school, 8th-grade students were polled, and their top choice was selected a
the mascot. Was the sample a biased sample? yes or no
Intro
Done​

Answer:

10 falls between 4 and 2 but is closer to 2.

92 falls between 10 and 8 but is closer to 10

Answer:

4+n=12

Step-by-step explanation

yesterday= 4

today= unknown

4+n=12

Answer:

The equation that you would use would be, 4+n=12

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Step-by-step explanation:

I hope this helps you :)

Pls mark brainliest :P

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W/ <3...

Tori

Answer:

Yes

Step-by-step explanation:

Answer:

jes what are they doing to you

Step-by-step explanation:

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Answer:fisrt one is y=1/2x

second one is y=x+11

third one is y= x^3

fourth on is y= ^3 check mark x

Step-by-step explanation:

Answer:

Im gonna go with D 25

Step-by-step explanation:

Hope this helps

Srry if its incorrect

Have a great day!

Answer:

(-8,5)

Step-by-step explanation:

The answer explained step by step on the picture.

The trigonometric functions are sin D = 28/53, sin E = 45/53, cos D =45/53, and cos E = 28/53 as fractions.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

The trigonometric functions are given in the question

Apply the sine ratio on the given right triangle

⇒ sin(θ) = Perpendicular/hypotenuse

sin D = EF/DE

sin D = 28/53

sin E = DF/DE ,

sin E = 45/53

Apply the cosine ratio on the given right triangle

⇒ cos(θ) = Base/hypotenuse

cos D = DF/DE

cos D =45/53

cos E = EF/DE

cos E = 28/53

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The sound intensity at the position of the microphone is 35,000 W/m² and the sound intensity level at the position of the microphone is 125.45 dB.

Given: Sound power emitted = 35 W

Area of the microphone = 10 cm² = 0.001 m²

Distance of the microphone from the speaker = 40 in = 1.016 m

Sound intensity is given by the formula: I = P/A

where,I = Sound intensity

P = Sound power

A = Area of the surface on which sound falls

At the position of the microphone, sound intensity is given by,

I = P/A = 35/0.001 = 35,000 W/m²

The sound intensity level is given by the formula,

β = 10 log(I/I₀)

where,β = Sound intensity level

I₀ = Threshold of hearing = 1 × 10⁻¹² W/m²

Substituting the values,

β = 10 log(35,000/1 × 10⁻¹²) = 10 log(35 × 10¹²) = 10(12.545) = 125.45 dB

Hence, the sound intensity at the position of the microphone is 35,000 W/m² and the sound intensity level at the position of the microphone is 125.45 dB.

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Answer:

333

Step-by-step explanation:

Answer:

34 hard-headed skeptics

Step-by-step explanation:

Write and solve an equation of ratios:

  459       2

--------- = ----

 7803      x

Cross-multipying, we get:

459x = 15606, which yields  x = 15606/459 = 34

There were 34 hard-headed skeptics.

Answer:

The rule is. the nth term  aₙ is given by

aₙ = n² + 1

Step-by-step explanation:

The following is the summary of n, aₙ

n            aₙ      In terms of n

1             2        1² + 1

2            5        2² + 1

3            10       3² + 1

4            17        4² + 1

5            26       5² + 1

6            37       6² + 1

So the nth term is given by
n² + 1

The width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200.

A rectangular garden has a length of 60 feet (ft)

a width of w ft

and a perimeter of 200 ft.

The formula of perimeter of a rectangle is 2(lenght + width)

The equation that represents the garden's perimeter is 2(60 + w) = 200

2(60 + w) = 200

120 + 2w = 200

2w = 200 - 120

2w = 80

w = 40

Therefore, width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200

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The  rate of change of Wayne's hours of sleep with respect to each day is  5  hours per day.

The rate of change of Wayne's hours of sleep with respect to each day is calculated as follows;

Mathematically, the formula is given as;

rate of change of sleep = change in sleep / change in time of sleep

The change in the sleep pattern = 30 - 15 = 15 hours

The change in the time of sleep = 6 - 3 = 3 days

The  rate of change of Wayne's hours of sleep with respect to each day is calculated as

rate of change of sleep = ( 15 hours ) / ( 3 days )

rate of change of sleep = 5  hours per day

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Sarah's company started out with a $350 value and is currently changing at a rate of $100 annually.

The annual fee is expressed as an equation in slope-intercept form:

y = 100x + 350.

y = mx + b, where m is the line's slope and b is its y-intercept, is the formula for a straight line.

Given details:

The table displays the prices that Sarah charged each client during the course of her business's first two years:

Year                            Annual Dog-walking Fee

2010                            $350

2014                            $750

A.

Sarah has so increased the cost by $400 over the past four years.

For Sarah's company, its rate of change called slope will be,

m = 750 - 350 / 4

m = 100

Therefore, Sarah is raising the cost by $100 yearly.

Due to the payment she received for the first year, the calculated values of a business is $350.

B. Define x as the period of time that has passed since she began her business in 2010.

Consequently, the annual fee equation can be expressed in slope-intercept form as,

y = mx + c

where y stands for the cost she must pay after x years.

Her company's baseline value is therefore $350, and its rate of change is $100 annually.

The annual fee is expressed as an equation in slope-intercept form.: y = 100x + 350.

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Answer:

Step-by-step explanation:

I did not mean to submit this. How do i delete this?

Answer:

I would say 36

Step-by-step explanation:

The spider tool makes a conjecture about the relationship i,e, each of rotation then 12 turns is 150°

If we number the points of the star 1–12, in order for the star to be symmetrical, each point must connect to two points symmetrically located around the center line.

That is, point 1 may connect to points {2, 12} or {3, 11} or {4, 10}, or {5, 9} or {6, 8} or {7, 7}. For each of these connections, the angle made at the point of the "star" is, respectively, 150°, 120°, 90°, 60°, 30° or 0°. For these angles, the figure obtained will be ...

150° - dodecagon, a 12-sided figure

 120° - hexagon

 90° - square

 60° - equilateral triangle

 30° - 12-pointed star

 0° - straight line

We suspect the star you're interested in is the one with points that are 30°. In order to have that point angle, the spider must make a turn of 180° -30° = 150°.

The spider will make 12 turns of 150°, for a total of 1800°, for a total of 5 full turns of 360°.

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The experiment of drawing two cards without replacement from a deck consisting of only the ace through 10 of a single suit (e.g., only hearts) has a sample space consisting of all possible pairs of cards that can be drawn. There are a total of 45 possible outcomes in the sample space.



Ai = {(j,k) : j + k = i, where j and k are values of the cards in the suit}
For example, if i = 7, then the event A7 consists of the following outcomes:
A7 = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

Note that we have excluded the outcome (1,1) from this event, since we are assuming that an ace counts as 1 and not 11. If we wanted to include the possibility of an ace being worth 11, we would need to modify the definition of Ai to account for this. However, the problem statement specifies that we should treat the aces as having a value of 1, so we will stick with this convention.

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Answer:

|x| = 10

should be your answer

Answer:

your answer will be C)117

Step-by-step explanation:

hope this helps you ^_^

have a nice/night day!!

Answer:

117

Step-by-step explanation:

Let find some relationships for angle 7. Looking at a angle near 63, Angle 2.

Angle 7 and Angle 2 are same side consecutive interior angles since they are parallel lines. This means they are supplementary. Keep that in mind.

Angle 2 and the 63 degree angles are vertical angles. This means angle 2 measures 63.

Since angle 2 and angle 7 are supplementary and angle 2 equal 63. We can use substitution method to replace angle 2 with 63. equation.

\(63 + x = 180\)

\(x = 117\)

Angle 7 equal 117

Options a, d, and e could describe a binary search tree while the rest doesn't.

In a binary search tree (BST), every element 'a' has certain properties regarding its position relative to other elements in the tree. Let's analyze it:

a. "Lesser than all elements in its left subtree": This statement would hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element.

b. "Greater than all elements in its left subtree": This statement would not hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element, so 'a' cannot be greater than all elements in its left subtree.

c. "Lesser than all elements in its right subtree": This statement would not hold true in a BST. In a BST, the right subtree contains elements that are greater than the current element, so 'a' cannot be lesser than all elements in its right subtree.

d. "Greater than all its descendants": This statement would hold true in a BST. In a BST, all elements in the left subtree are smaller than the current element, and all elements in the right subtree are greater. Therefore, 'a' would be greater than all its descendants.

e. "Greater than all elements in its right subtree": This statement would hold true in a BST. In a BST, the right subtree contains elements that are smaller than the current element, so 'a' can be greater than all elements in its right subtree.

In summary, options a, d, and e could describe a binary search tree, while options b and c would not accurately describe a binary search tree.

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Answer:

C

Step-by-step explanation:

From the given diagram

(4x - 43) = (2x + 31) Reason = (Vertically opposite angles are equal)

4x - 43 = 2x +31

By Collecting like terms, we have

4x - 2x = 31 + 43

2x = 74

x = 74/2 = 37

Answer:

Step-by-step explanation:

12*13 = 156

hope it helps

thank you

By the rational-root theorem, the roots of 12x³-8x²-3x+2=0 are  ±1, ±2, ±3,±4,±5,±6,±7,±8,±9,±10,±11,±12.

The rational root theorem tells you that if an equation has a comprehension (it doesn't need to have a comprehension), then when you write it as a reduction a/b (the reduction means that a and b n 'have no common factors), then a must be divided by the constant term of the polynomial and b must be divided by the principal term.

The constant term here is 1, so that means a must be ±1. The first term is 12; whole numbers divided by 12 are ±1, ±2, ±3, ±4, ±6 and ±12.

Once the root r has been found, we must stop and factor x−r of the polynomial, thus reducing the problem to a small extent.

According to the Question:

The given polynomial is,

f(x) = 12x³-8x²-3x+2

The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number,

x = p/q

Where, p is a factor of constant term and

q is the factor of coefficient of leading term.

In the given polynomial the constant is 2 and the leading coefficient is 12.

All possible factor of 2 are ±1 and ±2

All possible factor of 12 are ±1, ±2, ±3,±4,±5,±6,±7,±8,±9,±10,±11,±12.

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The formula of the conjugate acid of HCO₂⁻ can be determined by adding a proton (H⁺) to the anion. HCO₂⁻ is a base as it can accept a proton to form a conjugate acid. The reaction between HCO₂⁻ and H⁺ forms the conjugate acid of HCO₂⁻, which is H₂CO₂.

The balanced equation for the formation of the conjugate acid of HCO₂⁻ is as follows:HCO₂⁻ + H⁺ → H₂CO₂H₂CO₂ is a weak acid that forms when CO₂ gas is dissolved in water. It can donate a proton to form the HCO₂⁻ anion. HCO₂⁻ is a stronger base than H₂CO₂ because it has a greater tendency to accept a proton and form a conjugate acid. Thus, H₂CO₂ is a weaker acid than HCO₂⁻.

The formation of the conjugate acid of HCO₂⁻ shows that the addition of a proton to a base forms a weaker acid, while the removal of a proton from an acid forms a weaker base.Answer: The formula of the conjugate acid of HCO₂⁻ is H₂CO₂.

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