Which expression is represented by the model?

The volume of a cone is given by the formula V = (1/3) * π * r^2 * h Where the volume of this cone is approximately A:2016.

The volume of a cone is a measure of the amount of space inside the cone.

It is calculated using the formula: V = (1/3) * π * r^2 * h, where V is the volume, r is the radius of the base of the cone, h is the height of the cone, and π is the mathematical constant pi (approximately equal to 3.14).

The volume of the cone is the amount of space inside the cone, and is measured in cubic units (such as cubic centimeters, cubic meters, etc.).

From the diagram, we can see that the radius of the base of the cone is 4 and the height is 8. Plugging these values into the formula, we get:

V = (1/3) * π * 4^2 * 8

V = (1/3) * π * 16 * 8

V = (1/3) * 64π

The volume of this cone is approximately A:2016.

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The answer is true

15 x 32 x 2 = 2 x 15 x 32

960=960

Answer:

it is true because the answers are the same

Step-by-step explanation:

Answer:

On top: 3.9

2nd row: 42

3rd row: 12.6

4th row: 12.6

Top of area model:

3 and .9

Step-by-step explanation:

Long division has a rhythm of four steps. The outside number(divisor) goes into the inside number (dividend, but just a piece of it). Write the answer (quotient) on top. Multiply the top × the outside number. Write it below. Subtract down. Bring down another digit. See image.

The area model is based on length times width. See image.

Answer:

.75 pounds= $1.77, 1.25 pounds=$2,95, 2 pounds=$4.72, 2.5 pounds= $5.90

Step-by-step explanation:

multiply each number in the pounds column by 2.36 to get the total cost

.75(2.36)=1.77

1.25(2.36)=2.95

2(2.36)=4.72

2.5(2.36)=5.9

Answer:

 line that intersects two or more lines at a distinct points is known as transversal line.

Answer:

Step-by-step explanation:

Ivy is incorrect. An ellipse would also fit her definition(since an ellipse has no corners and a shape that is round and closed)

Ethan is correct. A circle is a set of all points some fixed distance away from some fixed point.

Ebuka is incorrect. A half circle will also fit her definition.

Answer: A transformation of a function such as y = f(x) is a way to change the appearance of its graph by applying certain rules to it. In this case, the graph of function g is a translation right 5 units and up 1 unit of the graph of f.

To find the equation of the transformed function g, we can take the equation of the parent function, which is y = f(x) = x^2 and apply the translation rules (right 5 units and up 1 unit) to it.

The translation right 5 units means that the x-coordinate of each point on the graph of f is increased by 5 units. So this can be written as x = x+5

The translation up 1 unit means that the y-coordinate of each point on the graph of f is increased by 1 units. So this can be written as y = y+1

Substituting x = x+5 and y = y+1 in the equation of the parent function y = x^2 gives the equation of g in the form:

y = (x+5)^2 + 1

So the equation of g is y = (x+5)^2 +1

This equation is a parabola with a vertex that

Step-by-step explanation:

Answer:

18/1,200?

Step-by-step explanation:

im not too sure on this

[tex]\dfrac{6y-1}{y} -2=3[/tex]

Simplify:

[tex]6y-1-2y=3y[/tex]

[tex]4y-1=3y[/tex]

Subtract 3y from both sides:

[tex]4y-1-3y=3y-3y[/tex]

[tex]y-1=0[/tex]

Add 1 to both sides:

[tex]y-1+1=0+1[/tex]

[tex]\fbox{y = 1}[/tex]

[tex]\dfrac{1}{2} x+4=-26[/tex]

Subtract 4 from both sides:

[tex]\dfrac{1}{2} x+4-4=-26-4[/tex]

[tex]\dfrac{1}{2} x=-30[/tex]

Multiply both sides by 2:

[tex]2\times(\dfrac{1}{2} x)=2\times(-30)[/tex]

[tex]\fbox{x = -60}[/tex]

Omar needs to invest $9,788, to the nearest dollar, for the value of the account to reach $32,400 in 20 years

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n[tex])^{nt}[/tex]

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

Given:

Omar is going to invest in an account paying an interest rate of 6% compounded monthly.

A =  $32,400 in 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for P

P = A / (1 + r/n[tex])^{nt}[/tex]

P = 32,400.00 / (1 + 0.06/12[tex])^{(12)(20)}[/tex]

P = 32,400.00 / (1 + 0.005[tex])^{240}[/tex]

P = $9,787.91

P = $9788  to the nearest dollar.

Therefore, the investing amount is $9,788.

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Answer:

10

Step-by-step explanation:

1.10*2=2.20

10-2.20=7.80

7.80/75=10.4

in total 10 pencils

The circle with a 7 feet radius cut into 6 equal sectors, indicates, using 22/7 approximation for pi, that the area of 2 of the pieces is 51 and one third square feet. The correct option is option C.

C. 51 and one third square feet

A sector of a circle is a pie shaped part of a circle that is bounded by an arc and two radii of the circle.

The specified radius of the circle, r = 7 feet

The number of pieces to which the circle is cut into = 6 equal pieces (sectors)

The area of 2 of the pieces, using 22/7 as an approximation for π are found as follows;

Area of a circle, A = π × The square of the radius

Therefore; A = π × r²

A = (22/7) × 7² = 154

The area of the circle is about A = 154 square feet

The area of one of the pieces into which the circle is cut is therefore;

Area of a piece = A/6

Area of one piece = (154 square feet)/6 = 25 and two thirds square feet

The area of 2 of the pieces = 2 × (A/6) = A/3

Therefore, the area of two of the pieces = (154 square feet)/3 = 51 1/3

The area of 2 of the pieces = [tex]51\frac{1}{3}[/tex] square feet

Option C is correct

C. 51 and one third square feet

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Using the 22/7 approximation for pi, the circle with a radius of 7 feet divided into 6 equal sectors shows that the area of 2 of the sections is 51 and a third square feet. Option C is the one that is right.

51 and a third square feet in C.

The provided equation of the plane contains 60 as the x, y, and z coefficients.

The mathematical formula for the line that is parallel to the given plane and passes through the specified point. N is equal to s, which is equal to ai, bj, and ck.

The line's parametric equations are x = x0 + at, y = y0 + bt, and z = z0 + ct, which are obtained by formulating the line's vector equation in terms of its components. The direction numbers of the line are known as the components a, b, and c.

Initially, by solving for y, convert the provided line's equation into slope-intercept form. You obtain y = -2x+5, meaning that the slope is 2. We wish to find the slope of the line, which is 1/2 because perpendicular lines have opposite-reciprocal slopes.

7*-8 + 5*10 + 5*0 = 6

-56 + 50 + 0 = 6

-6 = 6

= 12.

Z = 5*12 = 60.

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Answer:

11 and 28

Step-by-step explanation:

ok is a unatural and is the probability of the worst role in all of the curriculum in this field will

Answer:

11 and 28 are the numbers your looking for

Step-by-step explanation:

had a problem like this on a test

Answer:

298078.228074

Step-by-step explanation:

we add 6.8% of the population to the city each year

city population in year x + 1 = city population in year x + 6.8% of city population in year x = city population in year x + 0.068 * city population in year x = 1 * city population in year x + 0.068 * city population in year x = 1.068 * city population in year x

we multiply the population by 1.068 each year to get the next year's population

thus, over a period of y years, we would multiply the population by 1.068 y times.

start = 34000 in 1937

difference in years = 1970 - 1937 = 33

final amount = 34000 * 1.068 33 times = 34000 * 1.068^33 = 298078.228074

The number of stickers on the first page of Katie's scrapbook is given by the equation A = 28 stickers

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The number of stickers in Katie's first page of scrapbook is A

The array of stickers is = 4 rows and 7 columns

So , number of stickers in Katie's first page of scrapbook A = 4 x 7

Number of stickers in Katie's first page of scrapbook A = 28 stickers

The total number of stickers in the scrapbook for page 2 and 3 is

A = ( 4 x 4 ) + ( 3 x 4 )

Taking the common factor as 4 , we get

A = 4 ( 4 + 3 )

By using the distributive property , we get

A = 4 x 7

A = 28 stickers

Therefore , the value of A is 28

Hence , the equation is A = ( 4 x 4 ) + ( 3 x 4 )

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Answer:

Step-by-step explanation:

Answer is 26.   Plug in each of the numbers. (8x4)-6

Using the concept of similar triangles, the height of the tree is; Option D: 38 ft 6 inches.

Similar triangles are defined as triangles that have the same shape, but then their sizes may vary. This means that equilateral triangles and squares are good examples of similar objects. Thus, if two triangles are similar, then it means that their corresponding angles are congruent and corresponding sides are in equal proportion.

Thus, applying the principle of similar triangles above to the given image, if the height of the tree is h, then we have;

5/3.25 = h/25

h = (25 * 5)/3.25

h = 38.462 ft = 38 ft + 0.462 ft

Now, conversion of ft to inches gives 0.462 ft approximately 6 inches Thus, our final answer is 38 ft 6 inches.

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Answer: Statistical Question:

What is the number of days my friends spend at camp every summer?

How many miles do the teachers at our school drive per year?

What is the number of hours sixth graders spend playing sports each week?

Not a Statistical Question:

How tall is the Eiffel Tower?

What is the distance from my school to the fire station?

The questions "How tall is the Eiffel Tower?" and "What is the distance from my school to the fire station?" are not statistical questions because they are asking for a single, specific value, rather than a range of values or a pattern among a group of data.

On the other hand, "What is the number of days my friends spend at camp every summer?", "How many miles do the teachers at our school drive per year?" and "What is the number of hours sixth graders spend playing sports each week?" are statistical questions because they are asking for a range of values or a pattern among a group of data.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

simple interest formula:

final amount = initial balance * (1 + interest rate * time)

rate = 7.5% = 0.075

initial balance = 320

time = 3

is the final amount of 320 * (1 + 0.075 * 3) greater than or equal to 400?

320 * (1 + 0.075 * 3) = 392 so no

The expression for the magical coin for d days will be [tex]C = (3)^d[/tex].

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins tripled to 27 coins on the third day. This doubling will continue for 28 days.

The equation can be written as,

[tex]C = (3)^d[/tex]

At d = 28, the value of the coin will be,

C = (3)²⁸

C = $2.28 x 10¹³

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Answer:

a4 = -3 * 4^(4-1) = -3 * 4^3 = -3*64 = -192

Step-by-step explanation:

A geometric sequence is a sequence of numbers such that the ratio of any two consecutive terms is always the same. In this case, the given sequence is -3, -12, -48, -192, -768.

To find the explicit formula for this geometric sequence, we can use the following formula:

an = a1 * r^(n-1)

where:

a1 is the first term in the sequence (-3)

an is the nth term in the sequence

r is the common ratio (the ratio between any two consecutive terms)

To find the common ratio, we can divide -12 by -3, -48 by -12, -192 by -48, and -768 by -192, and in all cases we get r = 4

Therefore, the explicit formula for this geometric sequence is:

an = -3 * 4^(n-1)

This formula can generate any term of the sequence given the value of n.

So, for example, the fourth term of the sequence, -192, can be obtained by inputting n = 4 in the explicit formula:

a4 = -3 * 4^(4-1) = -3 * 4^3 = -3*64 = -192

Answer:

16.84

Step-by-step explanation:

Answer:

hey please check my next questioj

Answer:

The probability of rolling a seven on or before the 5th roll is 5/6 or about 83.3%

Step-by-step explanation:

The probability of rolling a seven on any given roll of two dice is 1/6, since there are six ways to roll a seven (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of the 36 possible outcomes (1-6 on the first die and 1-6 on the second die).

To find the probability of rolling a seven on or before the 5th roll, we can use the cumulative probability formula which is the probability of getting a specific event on the first roll plus the probability of getting the event on the second roll plus the probability of getting the event on the third roll and so on.

So the probability of rolling a seven on or before the 5th roll is:

P(rolling a seven on the 1st roll) + P(rolling a seven on the 2nd roll) + P(rolling a seven on the 3rd roll) + P(rolling a seven on the 4th roll) + P(rolling a seven on the 5th roll)

= (1/6) + (1/6) + (1/6) + (1/6) + (1/6)

= 5/6

So the probability of rolling a seven on or before the 5th roll is 5/6 or about 83.3%

It's worth noting that this probability is independent of the previous outcomes of the rolls, so the probability of rolling a seven on or before the 5th roll stays the same even if you already rolled a seven in previous rolls.

Answer:

p is less than or equal to 835

Step-by-step explanation:

Up to 835 people can fit in the concert, therefore the answer is p<=835.