A cone with a height of 15 yards has a volume of 475.17 yd^3 find the diameter of the cone

Answer:

All of them approach 9 when x=0

Step-by-step explanation:

The error is that the student rounded off the outcome after combining the numbers.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.

For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

So, we have:

162 + 287 + 395 = 840

The error:

After adding the numbers, the student rounded the result.

If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.

When estimating totals, students should be taught to round numbers first before adding them.

Therefore, the error is that the student rounded the outcome after combining the numbers.

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Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.

162 + 287 + 395

The student gets an answer of 840. Which of the following best describes the student's error?

No two values of x in the computation we just did are equal, there are 4 different values of x for which the sequence contains the value 2001.

An ordered list of numbers is all that a sequence is. Number series are collections of numbers that adhere to a pattern or guideline. An arithmetic sequence is one where the rule is to add or take away a number each time.

To estimate a few terms of the sequence in order to obtain a feel how it looks like.

In our case, the definition is that [tex]$\forall$[/tex] (for all) [tex]$n > 1: a_n=a_{n-1} a_{n+1}-1$[/tex].

This can be rewritten as [tex]$a_{n+1}=\frac{a_n+1}{a_{n-1}}$[/tex].

We have [tex]$a_1=x$[/tex] and [tex]$a_2=2000$[/tex], and we estimate:

[tex]$& a_3=\frac{a_2+1}{a_1}=\frac{2001}{x} \\[/tex]

[tex]$& a_4=\frac{a_3+1}{a_2}=\frac{\frac{2001}{x}+1}{2000}=\frac{2001+x}{2000 x} \\[/tex]

[tex]$& a_5=\frac{a_4+1}{a_3}=\frac{\frac{2001+x}{2000 x}+1}{\frac{2001}{x}}=\frac{\frac{2001+2001 x}{2000 x}}{\frac{2001}{x}}=\frac{1+x}{2000} \\[/tex]

[tex]$& a_6=\frac{a_5+1}{a_4}=\frac{\frac{1+x}{2000}+1}{\frac{2001+x}{2000 x}}=\frac{\frac{2001+x}{2000}}{\frac{2001+x}{2000 x}}=x \\[/tex]

[tex]$& a_7=\frac{a_6+1}{a_5}=\frac{x+1}{\frac{1+x}{2000}}=2000[/tex]

At this point we see that the sequence will become periodic: we contain [tex]$a_6=a_1, a_7=a_2$[/tex], and each subsequent term exists uniquely determined by the previous two.

Hence 2001 appears, it contains to be one of [tex]$a_1$[/tex] to [tex]$a_5$[/tex].

As [tex]$a_2=2000$[/tex], we only have four possibilities left.

Clearly [tex]$a_1=2001$[/tex] for x = 2001, and [tex]$a_3=2001$[/tex] for x = 1.

The equation [tex]$a_4=2001$[/tex]

solves to [tex]$x=\frac{2001}{2000 \cdot 2001-1}$[/tex], and the equation [tex]$a_5=2001$[/tex] to [tex]$x=2000 \cdot 2001-1$[/tex]

There are four alternative values of x for which the sequence contains the value 2001 since no two values of x are equal in the computation we just performed.

Therefore, the correct answer is option (D) 4.

The complete question is:
Consider sequences of positive real numbers of the form x, 2000, y, ........  in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of x does the term 2001 appear somewhere in the sequence?

(A) 1

(B) 2

(C) 3

(D) 4

(E) more than 4

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Answer:

Take the ratio of the 2 numbers:

[tex] \frac{6.5 \times {10}^{ - 8} }{8.8 \times {10}^{ - 27} } = 7.4 \times {10}^{18} [/tex]

This means that it takes 7.4×10^18 particle Bs to equal the mass of particle A.

The value of x and y in the diagram are 26° and 9° respectively.

Two adjacent angles formed a linear pair.

The linear pair property:

The sum of the angle measure of both the angles is 180°.

Given:

Using linear pair theorem,

(5x - 17)° + (3x - 11)° = 180°.

8x - 28°= 180°

8x = 180° + 28°

8x = 208°

x = 208/8

x = 26°

The value of x is 26°.

Now,

3x - 11° = 3×26°-11°

           = 67°

Linear pair theorem,

67° + 90° + (2y+5)° = 180°

157°+2y+5° = 180°

2y + 162° = 180°

2y = 180° - 162°

2y = 18°

y = 9°

The value of y is 9°.

Therefore, the value of x is 26° and y is 9°.

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The complete question is given in the attached image.

Answer:

To find the sale price of the suit, we need to first calculate the discount. The discount is equal to the original price multiplied by the discount rate, which in this case is $280 * 30% = $84.

Then we subtract the discount from the original price to find the sale price: $280 - $84 = $196.

So the sale price of the suit is $196.

Step-by-step explanation:

We can see here that the effect that the circled point will have on the y-intercept is: B. The y-intercept will decrease because the point pulls the least-squares regression line toward it.

In statistics, an intercept is the value of the dependent variable when the independent variable(s) is equal to zero. It is often represented by the symbol "b" in a linear equation.

For example, a simple linear equation has the form y = mx + b, where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept. The y-intercept is the point where the line crosses the y-axis.

We see here that the answer above is the correct answer.

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Answer:

88 lunas

Step-by-step explanation:

El número inicial de búfalos, a = 1,944

El número de búfalos después de 12 semanas, y₁₂ = 1296

La forma general de una función decreciente exponencial se presenta como sigue;

y = a · bˣ

Dónde;

x = El número de lunas

b <1

a = El primer término = 1,944

Por lo tanto, tenemos;

1.296 = 1.944 × b¹²

b¹² = 1.296 / 1.944 = 2/3

b = e ^ (ln (2/3) / 12) ≈ 0,967

Cuando queden 100 búfalos, tenemos;

100 = 1.944 × (0,967)ˣ

x = ln (100 / 1.944) / ln (0,967) ≈ 87,82 ≈ 88

El número de lunas que tendrían que dejar el prado, x ≈ 88 lunas

Answer:

d. y=8x

Step-by-step explanation:

since y = the number of legs and spiders = x

each spider has 8 legs

so y = 8*x

which is y=8x

Answer:

Vertex: (-3, -5)

Axis of Symmetry: x = -3

Step-by-step explanation:

Heres the sketch:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

147.5 times 14 = 2065

And they want an estimate so just round the 147.5 to 150.0 and the 14 to a 15 and your answer is 2250

Estimate : 2250

Actual answer is : 2065

If you have any questions comment under this post

Have a wonderful day<3

There would be a 1/36 chance of rolling a 6 then a 3 consecutively on a 6-sided die

Because the chance of rolling each of the numbers individually would be 1/6, and you are trying to roll 2 specific numbers in a row on a single die, you can simply multiply 1/6 by 1/6 to get your answer.

Answer:

pls give me the brainliest

the answer is in the attached document

Answer:

1 13/15

You need to turn the mixed number into an improper fraction to multiply.

Answer:

Step-by-step explanation:

The given statement represents the equation:

For the values of x = 1, 2, 3 the value of y would be:

Correct table to reflect this is D.

Answer:

The declaration is the equation:

and = 60x

In terms of values x = 1, 2, 3 y is: Y

Y = 60. 120.

This is shown by the right table D.

Table with 3 rows in 2 columns.

The hours of entries 1, 2, 3 are shown with Column 1.

Miles containing the items 60, 120, 180 are shown in column 2.

0 Thank you.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Each value of ADCB is 2x as much as EHGF

Answer:

-4

Step-by-step explanation:

g(-1) = 3(-1)² - 2(-1) + 7 / 2(-1) + 5

= 3-(-2)+7 / -2+5

= 5+7/-3

= 12/-3

= -4

The lengths of a,b,c, and d have been derived and expressed in terms of trigonometric ratios below.

As we can see from the figure itself, the value of a = sin θ

This can be written as such because = sin θ = Perpendicular / Hypotenuse

Here, the perpendicular = a and hypotenuse = radius = 1

= sin θ = a

The value of b = tan θ

This is because tan θ = perpendicular/base

Here, the base = radius = 1

= tan θ = b  

The value of c = sec θ

This is because sec θ = Hypotenuse / Base

= sec θ = c

The value of d = cos θ

This is because cos θ = Base / Hypotenuse

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A) Amaire have more money than Jermaine after 10 years.

B) By [tex]5.387*10^{11}[/tex]% Amaire has more money than Jermaine.

What is compound interest?

The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest.

Amare and Jermaine has initial amount = $1000

Amare spend his money that pays 2.25% compounded daily.

where are Jermain invest his money that pays 2.25% compounded annually.

Formula of Compound interest that compounded daily

final amount = [tex]A(1+\frac{r}{365})^{365t}[/tex]

where A is initial amount and t is time in years .

final amount after 10 years

final amount = [tex]1000(1+\frac{2.25}{365})^{365*10}[/tex]

final amount = 1000×[tex]1.00616^{3650}[/tex]

final amount = 1000×5.51×[tex]10^{9}[/tex]

final amount  = $5.51 ×[tex]10^{12}[/tex]

Formula of Compound interest that compounded annually

final amount = [tex]A(1+\frac{r}{100})^{t}[/tex]

where A is initial amount and t is time in years .

final amount after 10 years

final amount = [tex]1000(1+\frac{2.25}{1000})^{10}[/tex]

final amount = 1000×[tex]1.00225^{10}[/tex]

final amount = 1000×1.0227

final amount  = $1022.7

Part A :

Amare has more money after 10 years.

part B :

percent more money = [($5.51 ×[tex]10^{12}[/tex] - 1022.7)/1022.7]*100=[tex]5.387*10^{11}[/tex]%

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Answer:

13.8 gallons per hour

Step-by-step explanation:

"Gallons per hour" means to divide gallons by hours.  Even the label can be a reminder of what to do:  [tex]\frac{\text{gal}}{\text{hr}}[/tex] .

Now for the math...

[tex]4\frac{5}{16} \div 1.25 =4\frac{5}{16} \div 1\frac{1}{4}[/tex]

Changing both numbers to mixed number form helps.  (You could also change both numbers to decimals--a calculator would help!)

Change mixed numbers to improper fractions, then divide.

[tex]\frac{69}{4} \div \frac{5}{4}=\\\\\frac{69}{4} \times \frac{4}{5}=\\\\\\\frac{69}{5}=13.8[/tex]

The value of k is 3. We have to equal the distance between PA and PB and then solve the equation by squaring both side.

Given is that P(2k, k) is equidistance from A(-2, 4) and B(7, -5).

First, we try to understand what is distance formula between 2 points

let's suppose we have 2 points (x1, y1) and (x2, y2).

Find the distance between them.

The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is also applied to the distance formula for two points.

The length of the line segment bridging two points on a plane is known as the distance between the points. d=√(x2 - x1)^2 + (y2 - y1)^2 is a common formula to calculate the distance between two points. This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.

Given that PA = PB.

First, find what is PA

[tex]\sqrt{(2k+2)^2 + (k-4)^2}[/tex]

Here we will use the formula of

(a + b)^2  = a^2 + 2ab + b^2

(a - b)^2 = a^2 -2ab + b^2

[tex]\sqrt{4k^2+8k + 4 + k^2 -8k + 16}[/tex]

[tex]\sqrt{5k^2+20}[/tex].

Now find what is PB.

[tex]\sqrt{(2k-7)^2 + (k+5)^2}[/tex]

[tex]\sqrt{4k^2 + 49 -28k + k^2 + 25 + 10k}[/tex]

[tex]\sqrt{5k^2 - 18k + 74}[/tex]

PA = PB.

[tex]\sqrt{5k^2 + 20 } = \sqrt{5k^2 -18k + 74}[/tex]

squaring both sides.

5k^2 + 20 = 5k^2 -18k + 74

18k  =  74-20

18k = 54

k = 3.

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Answer:

Function 2, y = x - 5

Step-by-step explanation:

Function 1 is called an Absolute Value Function (where there is absolute value symbol around the whole or a part of the equation, its parent function is; y = |x| )

Function 2 is called a Linear Function (which could be written as y = mx + b, here m and b are integer values, b value is the y-intercept, m is the slope)

Function 3 is called an Inverse Function ( where a value is divided by a variable like "x", it's parent function is; y = [tex]\frac{1}{x}[/tex] )

Function 4 is called a Quadratic Function (it's a function where the variable is squared, it's parent function is; y = x² )

Hope this helps!

The function that represents the linear function is y = x - 5. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let's check all the options, then we have

A) y = |x| - 5, the function is an absolute function.

B) y = x - 5, the function is a linear function.

C) y = 1/x - 5, the function is a rectangular hyperbolic function.

D) y = x² - 5, the function is a quadratic function.

The function that represents the linear function is y = x - 5. Then the correct option is B.

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Answer:

Step-by-step explanation:

3.00

Answer:

1,888

Step-by-step explanation:

Im pretty sure that the answer is 1,888

here is some math for it

168+1440+280

Answer:

c = 77

b = 77

Step-by-step explanation:

c and b are equal because they are vertically opposite.

In addition, they both form a supplementary pair with 103 (but not at the same time).

c + 103 = 180                 c and 103 form a supplementary pair.

c = 180 - 103

c = 77

c = b = 77

The answer as an exact decimal = -0.84 and simplified fraction = −21/25.

Simplifying a fraction is the process of reducing a fraction to its most basic form. If the numerator and denominator of a fraction have no common factors other than one, the fraction is in its simplest form.

When solving fraction problems, we must first simplify them. Even if we simplify them, the fraction's value will remain unchanged. This means that the simplified and actual fractions are equivalent fractions.

Given that

-67/50 + 1.5 − 100% = ?

Lets solve

= -67/50 + 1.5 − 100%

= -67/50 + 1.5 − (100 × 0.01)

= -67/50 + 3/2 - 1

= -67/50 + 75/50 - 50/50

= (-67 + 75- 50)/50

= −42/50

= −21/25

= -0.84

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A unit rate I found at the grocery store was 10 bananas/ $5 this describe the price for 10 bananas but can also be used to identify the price for 1 banana.

In mathematics, a unit rate can be defined as a mathematical expression that includes two units to show the rate of a specific activity. For example, the expression 50 kilometers/2 hours shows a car covers a distance of 50 kilometers in two hours, which can be simplied as 25 kilometers per hour.

A unit rate I could observe last weekend while buying fruits and vegetables was 10 bananas/ $5. This unit rate is mainly used to inform buyers about the price of 10 bananas. However, this can also be simplified as $0.5 per banana and this would inform the buyers about the price per unit.

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Answer:

Hope that helps! :)

-Aphrodite

Step-by-step explanation: