Which is the correct answer for 62 + ∛125 ?

Answers

Answer 1

Answer: 67

Step-by-step explanation:

∛125 = 5

62 + 5 = 67


Related Questions

As the sample size increases, the margin of error _____.

Answers

The margin of error is inversely proportional to the sample size. As the sample size increases, the margin of error decreases.

What is the margin of error?

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The margin of error is given as

[tex]\rm ME = z\times \sqrt{\dfrac{p(1-p)}{n}}[/tex]

We know that margin of error is inversely proportional to the sample size.

As the sample size increases, the margin of error decreases.

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The graph of the function f (x) = StartFraction 3 Over x + 5 EndFraction is shown below.

On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 5.

What is the vertical asymptote of the function?

Answers

Using it's concept, it is found that the vertical asymptote of the function [tex]f(x) = \frac{3}{x+5}[/tex] is of x = -5.

What are the vertical asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

In this problem, the function is fraction given by:

[tex]f(x) = \frac{3}{x + 5}[/tex]

At the denominator, we have that:

x + 5 = 0 -> x = -5

Hence the vertical asymptote of the function [tex]f(x) = \frac{3}{x+5}[/tex] is of x = -5.

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Answer: A) x= -5

Took the test and got 100% :)


The following cone has a height of 12 cm and a slant height of 16 cm. A right angle is formed between the height and radius of the cone
what is the length of the radius

Answers

Step-by-step explanation:

[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]

[tex] \sf Height_{\blue{cone}}=12 \: cm [/tex][tex] \sf Slant \: height_{\blue{cone}}=16\: cm [/tex]

[tex]\pink{\large{\underline{\underline{\sf To \: find:-}}}}[/tex]

[tex] \sf Radius_{\blue{cone}}=? [/tex]

[tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]

We know that,

[tex]\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}[/tex]

[tex] \sf (Radius)^2 = (16)^2-(12)^2[/tex]

[tex] \sf (Radius)^2 = 256-144=112[/tex]

[tex] \longmapsto \sf Radius = \sqrt{112}≈10.6\:cm[/tex]

Which represents the value of c?
C=
(3) sin(40%)
sin (45°)
c=
(3) sin(45°)
sin (40%)
c=
sin(40%)
(3) sin(45°)
c=
sin(45°)
(3) sin(40%)

Answers

B. c = ((3)sin45°)/sin40°

Side a is given information: 3cm, and we can find angle A (which is the angle opposite side a) by subtracting the other two angles from 180 because the total interior angle measures of a triangle add to equal 180°.

Angle A = 180 - (95+45) = 40°.
This can be substituted into the equation for the law of sines.

sin(40)°/3 = sin(45)°/c
—Cross multiply
c•sin(40)° = 3•sin(45)°
—divide both sides by sin40 to get the variable c alone and we get:
c = (3)sin(45°)/sin(40°)

this also simplifies to 3.3 cm.

What critical value of t* should be used for a 95% confidence interval for the population mean based upon a random sample of 20 observations

Answers

Using a calculator, the critical value of the t-distribution that should be used for a 95% confidence interval with 20 observations is of t* = 2.0930.

How to find the critical value of the t-distribution?

A calculator is used, with two inputs:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

In this problem, we have a 95% confidence interval, with 20 - 1 = 19 df, hence the critical value is of t* = 2.0930.

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A craftsperson must attach a lead strip around all four sides of a stained glass window that is
6 4/5 in. by
15 14/25 in. before it is installed. find the length of lead stripping needed.

Answers

Answer: 37.9 inch the length of lead stripping .

Step-by-step explanation:

Given ,

Sides of windows are [tex]6\frac{4}{5}[/tex]  and [tex]15\frac{14}{25}[/tex]

[tex]= (6\frac{4}{5} + 15 \frac{14}{25} ) * 2\\ \\=\frac{34}{5} + \frac{389}{25} * 2\\\\ \frac{170}{25} + \frac{389}{25}* 2 \\\\= \frac{559}{25} * 2\\\\= \frac{948}{25} \\\\= 37.9 inch[/tex]

So , the answer is 37.9 inch

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#24. you and your friends go to the county fair the cost to get in is $8 and the tickets per game to my cost $0.25 each. Write an equation to create a table of reasonable values and identify the domain and range for the scenario.​

Answers

The equation of the scenario is y = 8 + 0.25x and the domain is x ≥ 0 and the range is y ≥ 8

How to determine the equation?

The given parameters are:

Entrance fee = $8Rate = $0.25 per person

Let the total cost be y, and the number of people be x.

The equation would be:

y = Entrance + Rate * x

This gives

y = 8 + 0.25x

Hence, the equation of the scenario is y = 8 + 0.25x

The table of values

Set x = 0 to 5, and calculate the function values

y = 8 + 0.25 * 0 = 8

y = 8 + 0.25 * 1 = 8.25

y = 8 + 0.25 * 2 = 8.50

y = 8 + 0.25 * 3 = 8.75

y = 8 + 0.25 * 4 = 9.00

y = 8 + 0.25 * 5 = 9.25

So, the table of values is:

x    y

0    8

1      8.25

2     8.50

3     8.75

4     9.00

5    9.25

The domain and the range

The domain is the set of people that can get in (i.e. at least 0), while the range is the total amount (i.e. at least the entrance fee)

Hence, the domain is x ≥ 0 and the range is y ≥ 8

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If 0.15% of budget is spent on office supplies, what decimal should you multiply budget

Answers

Answer:

0.015

Step-by-step explanation:

0.15% = 0.0015

{transfer}

7x+8y=-18
-5+y=-14
system by substitution ^​

Answers

Answer:

y=5+14=19

Step-by-step explanation:

Y=5+14=19 this is the right answers

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. What can you conclude about AC in ABC?
BC + AC = 22; AB + BC = 12

Answers

Answer:

ab<6 units

Step-by-step explanation:

One of the basic property of any triangle is that the sum of the length of any two sides of a triangle is always greater than the length of the third side. Here we are given a triangle abc, in whicn bc=4ac= 8-abIf have to make some conclusion about ab.As per the property discussed above ab<ac+bcab<8-ab+42ab<12ab<6Hence the length of ab must be less than 6 units

Can I get help with this pls

Answers

Answer:

2 [tex]\leq[/tex] x [tex]\leq[/tex] 7

Step-by-step explanation:

See attachment.

The equation in Question 4 shows a relationship between the length of arc EF in circle AB and the radius of circle AB. So, for a given central angle, what does the length of the arc it intersects depend on?

Answers

For a given central angle,  the length of the arc it intersects depends on the radius of the circle and the central angle.

What is the Length of an Arc?

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

Length of an Arc = 2π×R×(θ°/360°)

where

θ is the angle, that which arc creates at the center of the circle in degree.

The measurement of the length of an arc formed by a central angle that intersects the circle at two points is given as,

[tex]\rm {Length\ of\ the\ arc} = 2\pi \times \text{Radius of the circle}\times \dfrac{\text{(Measurement of central angle)}}{360^o}[/tex]

Now, the length of the arc EF will be,

Arc EF = 2π × (AB) × (θ/360°)

Where θ is the measurement of the central angle.

Hence, For a given central angle,  the length of the arc it intersects depends on the radius of the circle and the central angle.

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Answer: Plato/edmentum sample answer  

Step-by-step explanation:

For a given central angle, the length of the arc it intersects depends only on the radius of the associated circle.

Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

Answers

The system of equations of two unknowns is formulated and solved.

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}[/tex]

                                                              [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}[/tex]

                                                                  [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}[/tex]

The fraction that satisfies the request is [tex]\bf{\dfrac{20}{28}}[/tex] , since in [tex]\bf{\dfrac{-20}{-28}}[/tex] the negative signs are canceled and the first fraction is obtained.

The NUK Energy Company is designing a new logo, as shown in the accompanying
diagram, with mNK-130 and mNK-m.NU.
N
K
What is the measure of ZKNU?
1) 80°
2) 65°
3) 50°
4) 100°
U

Answers

The measure of the angle KNU (∠KNU) of the cyclic quadrilateral is; Option 3: 50°

How to find the angle in a quadrilateral?

From the attached cyclic quadrilateral of NUK Energy Company's new logo, we can say that equal angles intercept equal arcs and as such, the measure of angle KNU will be;

∠KNU 1/2 * 100 = 50°

This is because If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.

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geometry please help!

Answers

Answer:

x = 3

Step-by-step explanation:

Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.

First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.

Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:

1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.

2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.

In conclusion, x = 3.

If ten rolls of tape cost $30, how much will 12 rolls cost?​

Answers

Answer:

Step-by-step explanation:

10 rolls = $30

12 rolls = ...

Because $3 for each roll of tape, so 3 x 10 = 30. All we have to do is multiply 3 by 12 to get how much for 12 rolls.

36.

the average wieght of three children a b and c is 60 lbs if another child D is included in the grouo in the place of C the average weight of the group becomes 54 lb what is

Answers

The weight of the last child is 36 lbs.

How to calculate the mean?

The average weight of the three children is 60 lbs. The total weight will be:

= 60 × 3

= 180 lbs.

When another child is added, the weight is 54lb. The total weight will be:

= 54 × 4

= 216 lbs

The weight of the last child will be:

= 216 - 180

= 36 lbs.

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The probability that Janet will win the marathon is 44%. What is the probability that Janet will not win the marathon? Write the probability as a percent and include the percent symbol.

Answers

Answer:

56%

Step-by-step explanation:

If the percentage that she wont win is 44% she still has a 64 percent chance of winning

When written in factored form, 4w² -11w-3 is equivalent to

Answers

When written in factored form, 4w² -11w-3 is equivalent to (4w+1)(w−3).

What is the factored form of an expression?

When an expression is written as a result of the multiplication of some terms, then that multiplication form is called the factored form of that expression.

Example:   6 = 3 x 2 is a factored way of writing 6.

Given expression as

4w² -11w-3

4w²- 12 w− 1w − 3

(4w+1)(w−3)

Thus, the factored form of 4w² -11w-3 is (4w+1)(w−3).

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True or false? The graph represents a function

Answers

Answer:

true

Step-by-step explanation:

The statement is true because every graph associated a unique x-value for each y - value

Sofia's audio player has 15,000 songs. the play time for the songs is skewed to the right, with a mean of 255 seconds and a standard deviation of 30 seconds. part a: can you accurately calculate the probability that the mean play time is more than 260 seconds for an srs of 15 songs? explain. (4 points) part b: if you take a random sample of 40 songs instead of 15, explain how the central limit theorem allows you to find the probability that the mean play time is more than 260 seconds. calculate this probability and show your work. (6 points)

Answers

Using the normal distribution and the central limit theorem, it is found that:

a) Since the distribution is skewed and the sample size is less than 30, the probability cannot be calculated.

b) There is a 0.1469 = 14.69% probability that the mean play time is more than 260 seconds.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as the underlying distribution is normal and the sample size is at least 30.

The mean and the standard deviation are given by, respectively:

[tex]\mu = 255, \sigma = 30[/tex]

In item a, according to the Central Limit Theorem, since the distribution is skewed and the sample size is less than 30, the probability cannot be calculated.

For item b, we have that n = 40 > 15, hence the standard error is given by:

[tex]s = \frac{30}{\sqrt{40}} = 4.74[/tex]

The probability is one subtracted by the p-value of Z when X = 260, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{260 - 255}{4.74}[/tex]

Z = 1.05

Z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

There is a 0.1469 = 14.69% probability that the mean play time is more than 260 seconds.

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If y=2x-1 is changed to y = x+ 2,
how would the graph of the new
function compare with the first one in terms of steepness and shift?

Answers

The graph of the function y = x+2 is steeper than the graph y = 2x-1.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given functions are:-

y=2x-1y = x+2

The graph of the functions is attached with the answer below. In the graph, we can see that the slope of the graph y = x+2 is steeper than the graph of y = 2x - 1.

The two graphs intersect at the point ( 3,5 ) so it is the solution of the two linear equations.

Hence the graph of the function y = x+2 is steeper than the graph y = 2x-1.

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plss help, ill give brainiest

Answers

Answer:

A

Step-by-step explanation:

Cylinder volume= V = π r ^2 h

So you times Pie by the radius (diametre divided by two- 3.5) you then square this. After that, times it by the height (10)

So the volume is 384.85.

You then find 30% of this, so times 384.85 by 30%.

You then get an answer of 115.455, and this is equal to A.

I hope this helps, have a lovely day.

The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10 inches. the height of the prism is 14 inches. find the surface area of the prism.

Answers

The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

What is the Surface Area of a Triangular Prism?

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

side of base (s1) = 6 in.side of base (s2) = 8 in.side of base (s3) = 10 in.Length of prism (L) = 14 in.Triangular base length (b) = 6 in.h = 8 in.

Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

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14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of this total. If they divide this expense equally between them, How much does each friend pay?

Answers

The amount each friend does pay is £9.75

How to calculate the pay of each friend using fractions and arithmetic operations?

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

The 5% of 130 = £6.5Total amount paid = £130 + £6.5 = £136.5

Therefore, the cost of each friend is = [tex]\dfrac{136.5}{14}[/tex]

The cost of each friend = £9.75


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Later on in this module, you will learn how to model events by writing trigonometric functions. for now, do some research on events that are cyclical or periodic. write a discussion post about one of those events. be sure to describe the event and the period.

Answers

The events that are cyclical are:

The change of seasons each yearEarth Rotation.Moon Phases.Tides.

The  events that are  periodic are:

Pendulum  OscillationSimple harmonic motionstuning fork,, etc.

What are Cyclical events?

Cyclical events are known to be event that occurs in a specific order e.g. Changes in the economy.

The Events that take place only after a regular interval of time are known to be periodic event.

Therefore, the events that are cyclical are:

The change of seasons each yearEarth Rotation.Moon Phases.Tides.

The  events that are  periodic are:

Pendulum  OscillationSimple harmonic motionstuning fork,, etc.

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Evaluate 5(x - 1) - 2 when x = 3

Answers

Answer:

8

Step-by-step explanation:

Given algebraic expression:

5(x - 1) - 2

To:

Evaluate this expression using x = 3

Solution:

5(x - 1) - 2

Evaluate by plugging x = 3 to this expression:

5(3-1)-2

Simplify using PEMDAS.

5(2)-210-28

We can conclude:

By evaluating x = 3 to the given expression,the answer will be 8.

Two lines, A and B, are represented by the equations given below: Line A: y = x − 6 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (1 point) a (−5, −11), because the point satisfies both equations b (−5, −11), because the point does not lie on any axis c (−3, −5), because the point satisfies one of the equations d (−3, −5), because the point lies between the two axes

Answers

The solution to the system of linear equations is: (−5, −11).

What is the Solution to the System of Linear Equations?

The solution to a system is the x and y -coordinates that satisfies the two linear equations.

Given the linear equations:

Line A: y = x − 6

Line B: y = 3x + 4

Now, equating these two equations

x - 6 = 3x + 4

2x = -10

x = -5

y = -11

Hence, the solution is: (−5, −11), because the point satisfies both equations.

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If ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs? 10 ft 14 ft 20 ft 24 ft

Answers

The side |rs| is congruent to side |ac| which is 14 ft.

What are congruent triangles?

Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.

The figures from the textbook illustrate that following rotation, the two triangles are congruent.

This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.

Therefore:

ab = tr = 10 ftac = rs = 14 ftbd = ts = 20 ft

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so i have 56 8 year old kids in my basement and i auction off 25 of them how many kids do i have left?

Answers

Answer:

none because i boiled them all

Step-by-step explanation:

Answer:

31 kids

Step-by-step explanation:

56-25=31

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