The radius of a circle is 1 mlle, What is the circle's area?

Answer:

look at the explanation

Step-by-step explanation:

A cylindrical container has a height of 14 inches and radius of 3.2 inches. It is filled with pasta, but there is 1.5 inches of space left at the top. How many cubic inches of pasta are in the container?

1. Given

h = 14 in

r = 3.2 in

space = 1.5

V pasta = πr² (h - space)

V pasta = π(3.2)² (14 - 1.5)

V pasta = 402.12 in³

Izzie has a muffin tin that holds 12 muffin cups. Each cup is cylindrical with a diameter of 3 inches and a height of 3.5 inches. Izzie has 544.28 cubic inches of batter. How many muffins can she bake?

2. Given

h = 3.5 in

d = 3 in

V batter = 544.28

V muffin = πd²h/4

V muffin = π(3)²(3.5)/4

V muffin = 24.74 in³

# of muffin = V batter/ V muffin

# of muffin = 544.28/ 24.74 = 22

so she can bake 22 muffins

A popsicle tray has 6 cone-shaped popsicle molds. Each popsicle mold has a diameter of 5.4 cm and a height of 12.9 cm. How many cubic centimeters will one tray hold?

3. Given

d = 5.4 cm

h = 12.9 cm

6 cone-shaped popsicles per tray

V popsicle = πd²h/12

V popsicle = π(5.4)²(12.9)/12

V popsicle = 98.48cm³

V popsicle per tray = (98.48cm³) (6)

V popsicle per tray = 590.88cm³

A cone has a volume of 1,230.88 units³ and a diameter of 14 units. How many units is the height of the cone? Use 3.14 for pi.

4. Given

V cone = 1,230.88 units³

d = 14 units

V cone = πd²h/12

h = 12V cone/πd²

h = 12(1230.88)/ (3.14) (14)²

h = 24 units

A cylinder has a volume of 7,598.8 units³ and a height of 5 units. How many units is the diameter of the cylinder? Use 3.14 for pi.

5. Given

V cylinder = 7,598.8 units³

h = 5 units

V cylinder = πd²h/4

d = √4V cylinder/πh

d = √4(7598.8)/3.14(5) = √1936

d = 44 units

Jana and Haiya are each filing a witch's hat in the shape of a cone with candy. Each hat has a radius of 3.4 inches and height of 12.5 inches. How many cubic inches of candy will both hats hold?

6. Given

r = 3.4 in

h = 12.5 in

V hat = πr²h/3

V hat = π(3.4)²(12.5)/3

V hat = 151.32 in³

V two-hats = 2(151.32 in³ )

V two-hats = 302.64 in³

George has 1 ½ containers of toothpaste in the shape of a cylinder. Each container has a diameter of 4 cm and a height of 15 cm. How many cubic centimeters of toothpaste does he have?

7. Given

d = 4 cm

h = 15 cm

V container = πd²h/4

V container = π(4)²(15)/4

V container = 188.496 cm³

V toothpaste = 1.5V container = 1.5(188.496 cm³)

V toothpaste = 282.74 cm³

A cone has a diameter of 16 units and a height of 11 units. How many cubic units is the volume of the cone?

8. Given

d = 16 units

h = 11 units

V cone = πd²h/12

V cone = π(16)²(11)/12

V cone = 737.23 units³

Answer:

0.167 is rational

2/6 is rational and the other two is irrational

:)

Step-by-step explanation:

Answer:

d is correct

Step-by-step explanation:

Given

10(30x - 5y) = - 40y + 600 ( divide both sides by 10 )

30x - 5y = - 4y + 60 ( add 5y to both sides )

30x = y + 60 ( subtract 60 from both sides )

30x - 60 = y → d

Jamal will receive a change of $2.3

Jamal bought a hamburger for $1.75

He ordered fries for 95 cents

The first is to add price of the hamburger which is 1.75 and the order for the price which is 95c

1.75 + 95

= 2.70

The next step is to subtract 2.70 from the $5 he paid with

= 5- 2.70

= 2.3

Hence the change Jamal will receive from buying the hamburger with $5 is $2.3  

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Answer:

Step-by-step explanation:

okay so to get 10% of 20 you just move the decimal to the right one so 25.0 would become 2.5 then to find 20% of that you multiply by 2 so 2.5 x 2 = 5 so that means the team lost 5 girls. 25-5=20 therefor there are 20 players on the team this year

Answer:

121

Step-by-step explanation:

(5-2)180

180-135-105-87-92=121

The derivative of the given expression using the chain rule is -e^(-t/τ) cos(ωt)/τ.

To find the derivative of the given expression using the chain rule, we need to apply the chain rule formula, which states that if y = f(u) and u = g(x), then:

dy/dx = dy/du * du/dx

In this case, we have:

y = e^(-t/τ) * sin(ωt)

u = -t/τ

f(u) = e^u

g(x) = -t/τ

Using the chain rule formula, we can find:

dy/dx = dy/du * du/dx

dy/du = d/dx(e^u) = e^u * du/dx

du/dx = -1/τ

Substituting these values, we get:

dy/dx = e^(-t/τ) * cos(ωt) * (-1/τ)

dy/dx = -e^(-t/τ) * cos(ωt)/τ

Therefore, the value obtained is -e^(-t/τ) * cos(ωt)/τ.

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Answer:

70.

Step-by-step explanation:

That was the answer after I got 200 wrong.

Answer:70

Step-by-step explanation:

Answer:

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

Step-by-step explanation:

y=acosx+b

find a and b

y=b=4 when x=90 degrees because cos 90=0

find a : when x=60 degrees, y=7

7=acos60°+4

7=a(1/2)+4

a/2=3

a=6

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

As per the question statement and the reference attachment attached thereby, the area of the venn diagram marked as (II) can represent the disease of Pneumonia.

As per the reference attachment attached thereby along, a chart is provided that shows the most common causes of death in three regions of united stated,

And we are required to identify the sector of the vein diagram, which can best represent the disease of Pneumonia.

From the tabular data above the venn diagram, pneumonia is a cause of death in both region A as well as in region B, and hence, the common sector of circles A and B only, can represent the disease. Since the only such sector is (II), it is our required area of the vein diagram.

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Answer:

As per the question statement and the reference attachment attached thereby, the area of the venn diagram marked as (II) can represent the disease of Pneumonia.

Step-by-step explanation:

The y-intercept is (0, 4).

An alternate method to find the x-intercepts is to factor the quadratic equation.

The vertex is (-2, 0).

The graph of the equation is illustrated below.

One of the most common types of equations is a quadratic equation, which is an equation of the form ax² + bx + c = 0. In this case, we have the equation x² + 4x + 4 = 0, and we need to find the x-intercepts.

To find the x-intercepts, we can use the quadratic formula, which is given by:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 4, and c = 4, so we can substitute these values into the formula:

x = (-4 ± √(4² - 4(1)(4))) / 2(1) x = (-4 ± √(0)) / 2 x = -2

Therefore, the x-intercept is -2. We can check this by plugging in x = -2 into the equation and verifying that it equals zero:

(-2)² + 4(-2) + 4 = 0

In this case, we can see that the equation can be factored as:

(x + 2)² = 0

Taking the square root of both sides, we get:

x + 2 = 0

x = -2

This gives us the same x-intercept as before.

To find the vertex of the parabola represented by the equation, we can use the formula:

x = -b / 2a

and then substitute this value of x into the equation to find the y-coordinate of the vertex. In this case, we have:

x = -4 / 2(1) x = -2

Substituting x = -2 into the equation, we get:

(-2)² + 4(-2) + 4 = 0

Since the coefficient of x² is positive (i.e., a = 1 > 0), the parabola opens upwards and the vertex is a minimum.

To graph the parabola, we can plot the vertex at (-2, 0) and use the x-intercept we found earlier at (-2, 0). Since the equation is symmetric about the vertical line through the vertex, we know that there is another point on the graph that is the same distance from the vertex but on the other side of the line. Therefore, we can plot the point (-3, 0) as well. We can also find the y-intercept by setting x = 0 in the equation:

0² + 4(0) + 4 = 4

Using this information, we can sketch the parabola by connecting the points (-3, 0), (-2, 0), and (0, 4), and noting that the parabola is symmetric about the line x = -2.

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For a given function f(x), the domain is the set of possible values of x that we can use and the range is the set of the possible values of f(x).

For both points we will find that the answer is:

"We only can evaluate the function with integer values of d."

a) Here we have the function:

A(d) = 2 + 0.25*d

The first thing we want to answer is:

"explain why the domain does not contain the value d=2.5 "

We know that at the end of each day the kids get's the $0.25, so at d= 2.5 there two days and a half, and because only 2 nights passed, at this moment the kid only got the money two times.

So for d = 2.1

           d = 2.5

           d = 2.7

etc

We would get the exact same total money, thus we only can evaluate the function with integer values of d.

b) Why the range does not include the value A = $3.10?

Remember that d can only be an integer number.

Now let's solve:

A(d) = 3.10 = 2 + 0.25*d

          3.10 - 2 = 0.25*d

          1.10 = 0.25*d

           1.10/0.25 = d = 4.4

So we only can get  A = $3.10 if d = 4.4, and remember that d only can be a whole number, this is why the range does not include the value $3.10

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Answer:

2 ways below

Step-by-step explanation:

To complete the triangle, you would need to bend the other end of the strip of metal so that it is also 10 inches from the first bend. One way to do this would be to measure 10 inches from the first bend and mark the spot, then use a bending tool to carefully bend the metal at the mark.

Another way would be to hold the metal strip against a ruler or measuring tape, aligning the first bend with the 10-inch mark, then use the bending tool to make the second bend at the 20-inch mark. In either case, the resulting triangle would have two equal sides that are 10 inches long, and a base that is 8 inches long.

The equation of the tangent to the curve without eliminating the parameter is \(y - cos^2(1/2) = -2sin(1/2) \times cos(1/2)(x - sin(1/2)).\)

The equations of the tangents to the curve by first eliminating the parameter is \(y - cos^2(1/2) = -1 / (2sin(1/2))(x - sin(1/2))\).

To find the equation of the tangent to the curve without eliminating the parameter, we need to find the derivative of both x and y with respect to t.

Given x = sin(t) and y = cos^2(t), we can find the derivatives as follows:

dx/dt = cos(t)
dy/dt = -2sin(t) * cos(t)

Now, we need to find the values of t for which the tangent is desired. Let's substitute the values t = 2 and t = 1/2 into the derivatives:

When t = 2:
dx/dt = cos(2)
\(dy/dt = -2sin(2) \times cos(2)\)

When t = 1/2:
dx/dt = cos(1/2)
\(dy/dt = -2sin(1/2) \times cos(1/2)\)
Now, we have the slopes of the tangents at the given points. Let's use the point-slope form of a line to find the equations of the tangents.

For t = 2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(2),cos^2(2))\)

Substituting the values, we get:
\(y - cos^2(2) = -2sin(2) \times cos(2)(x - sin(2))\)

For t = 1/2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(1/2), cos^2(1/2))\)

Substituting the values, we get:
\(y - cos^2(1/2) = -2sin(1/2) \times cos(1/2)(x - sin(1/2))\)
This is the equation of the tangent to the curve without eliminating the parameter.

To find the equation of the tangent by eliminating the parameter, we can solve the given equations to express x in terms of y and then find the derivative of x with respect to y.

From the equation x = sin(t), we can express t in terms of x as t = arcsin(x).

Now, substitute this value of t into the equation y = cos^2(t):
\(y = cos^2(arcsin(x))\)
To eliminate the parameter, we need to find the derivative of x with respect to y:
dx/dy = dx/dt * dt/dy

We already found dx/dt as cos(t), and dt/dy can be found by taking the reciprocal of dy/dt.
So, \(dt/dy = 1 / (dy/dt) = 1 / (-2sin(t) \times cos(t))\)

Substituting the values, we get:
dx/dy = cos(t) / (-2sin(t) * cos(t))

Simplifying further, we get:
dx/dy = -1/(2sin(t))

Now, substitute the values t = 2 and t = 1/2 into the derivative:

When t = 2:
dx/dy = -1/(2sin(2))

When t = 1/2:
dx/dy = -1/(2sin(1/2))

Now, we have the slopes of the tangents at the given points. Let's use the point-slope form of a line to find the equations of the tangents.

For t = 2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(2), cos^2(2))\)

Substituting the values, we get:
\(y - cos^2(2) = -1 / (2sin(2))(x - sin(2))\)

For t = 1/2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(1/2), cos^2(1/2))\)

Substituting the values, we get:
\(y - cos^2(1/2) = -1 / (2sin(1/2))(x - sin(1/2))\)

These are the equations of the tangents to the curve by first eliminating the parameter.

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The equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.

Simplify LHS and RHS?

To verify whether the equation \((sin(x)cos(x))^2 = sin(2x)\) is an identity, we can simplify both sides of the equation and see if they are equivalent.

Starting with the left side of the equation:

\((sin(x)cos(x))^2 = (sin(x))^2(cos(x))^2\)

Now, we can use the trigonometric identity \(sin(2x) = 2sin(x)cos(x)\) to rewrite the right side of the equation:

\(sin(2x) = 2sin(x)cos(x)\)

Substituting this into the equation, we have:

\((sin(x))^2(cos(x))^2 = (2sin(x)cos(x))\)

Next, we can simplify the left side of the equation:

\((sin(x))^2(cos(x))^2 = (sin(x))^2(cos(x))^2\)

Since both sides of the equation are identical, we can conclude that the given equation is indeed an identity:

\((sin(x)cos(x))^2 = sin(2x)\)

Hence, the equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.

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A radioactive substance decays so that after t years, the amount remaining, expressed as a percent of the original amount, is A(t) = 100(1.5)^(-t). Determine the rate of decay after 2 years. Round to 2 decimal places.

The rate of decay after 2 years is 66.67%.We are given the formula A(t) = 100(1.5)^(-t). To find the rate of decay, we need to find the value of -t. We can do this by setting A(t) equal to 100. This gives us:

100 = 100(1.5)^(-t)

Dividing both sides by 100, we get:

1 = 1.5^(-t)

Taking the natural logarithm of both sides, we get:

ln(1) = -tln(1.5)

0 = -tln(1.5)

t = -ln(1.5) / -1

t = ln(1.5)

t = 0.464

The rate of decay is 1 - 0.464 = 0.536 or 53.6%. Rounded to 2 decimal places, the rate of decay is 53.67%.In words, we can solve this problem by first finding the natural logarithm of 1. This is done by using the calculator or by using the formula ln(1) = 0. Once we know the natural logarithm of 1, we can divide it by -1 to get the value of -t. Finally, we can add 1 to this value to get the rate of decay. If you invest $2000 compounded continuously at 3% per annum, how much will this investment be worth in 4 years?

The investment will be worth $2538.27 in 4 years. We are given that the initial investment is $2000 and the interest rate is 3%. To find the value of the investment in 4 years, we can use the formula:

A = P(1 + r)^t

where A is the amount of money in the account after t years, P is the initial investment, r is the interest rate, and t is the number of years. Plugging in the values, we get:

A = 2000(1 + 0.03)^4

A = 2000(1.03)^4

A = 2538.27

In words, we can solve this problem by first finding the interest earned each year. This is done by multiplying the interest rate by the initial investment. Once we know the interest earned in each year, we can add it to the initial investment to find the value of the investment in each year. Finally, we can add the values of the investment in each year to find the value of the investment in 4 years.

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The payments each month do not cover all interest and no principal. The correct answer would be an option (B).

A credit card trap occurs when the minimum payments required each month do not cover all the interest charges and do not reduce the principal balance. This means that even if the cardholder makes the minimum payments on time, they will still be paying only the interest charges and not reducing the amount of debt. This can result in a cycle of high-interest debt that is difficult to escape from.

Option A is incorrect as it's describing a common way payments work on credit cards.

Option C is not a trap, as it's describing a credit card issuer with a low-interest rate.

Option D is also incorrect, as it's describing a common way payments work on credit cards.

Hence, the correct answer would be an option (B).

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The unit rate for inches per mile is 0.8 inches.

The length of road B is 9.6 inches on map.

Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc.

Road in inches = 1 1/5 = 6/5 inches

Road in miles = 1 1/2 miles =

Inches per mile = 6/5 / (3/2)

                         = 6/5 x 2/3

                         = 4/5

                         = 0.8 inches

If the road B is 12 miles long, on the map it would be;

= 0.8 x 12

= 9.6 inches

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The median of the data set is equal to 17.

The mean of the data set is equal to 20.

Mathematically, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of data, we have;

Total, F(x) = 35 + 9 + 17 + 7 + 45 + 3 + 24​

Total, F(x) = 140

Mean = 140/7

Mean = 20.

First of all, we would sort the observations (data set) from the least to greatest as follows:

Data set = 3,7,9,17,24,35,45

Median = 17.

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Answer:

(6, 1 )

Step-by-step explanation:

To determine which ordered pair is a solution

Substitute the x and y values into the left side of the equation and if equal to the right side then it is a solution.

(6, 1 )

3(6) + 9(1) = 18 + 9 = 27 ← Solution

(1, 8 )

3(1) + 9(8) = 3 + 72 = 75 ≠ 27

(1, 11 )

3(1) + 9(11) = 3 + 99 = 102 ≠ 27

(8, 1 )

3(8) + 9(1) = 24 + 9 = 33 ≠ 27

Then (6, 1 ) is a solution to the equation

Answer:

The answer is D metal is a connductor that is why many of our hot appliances such as grills, ovens, and hot iron tools are metal

Step-by-step explanation:

brainlest plz

Answer:

D

Step-by-step explanation:

because convection is air and convection is contact.  

The average value of f over (-2, 2) is 3/8.

We know that f is odd, which means that f(-x) = -f(x) for all x. Using this property, we can write:

2J0 f(x) dx = J-2 2 f(x) dx + J0 2 f(x) dx

= -J2 -2 f(-u) du + J0 2 f(x) dx (using the substitution u = -x in the first integral)

= -J2 2 (-f(u)) du + J0 2 f(x) dx (using the oddness of f)

= J-2 2 f(u) du + J0 2 f(x) dx

Now, note that the integrand in the second integral is even (since f is odd), so we can write:

2J0 f(x) dx = 2J-2 2 f(u) du + 2J0 2 f(x) dx

= 2J-2 2 f(x) dx + 2J0 2 f(x) dx

= 2(J-2 2 + J0 2) f(x) dx

Therefore, we have:

2(J-2 2 + J0 2) f(x) dx = 3

(J-2 2 + J0 2) f(x) dx = 3/2

The average value of f over (-2, 2) is given by:

1/(2-(-2)) J-2 2 f(x) dx

= 1/4 2J-2 2 f(x) dx

= 1/4 [(J-2 2 + J0 2) f(x) dx - J0 2 f(x) dx]

= 1/4 (3/2 - 0)

= 3/8

Therefore, the answer is 3/8.

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The center of mass of the right triangle is 2.14

The term center of mass refer a point where the whole mass of the body is supposed to be concentrated.

Here we have given that a 60-cm length of uniform wire, of 60 g mass and negligible thickness, is bent into a right triangle.

And we need to find the center of mass.

According to the following diagram, we have identified the values of

m1 = 24

m2 = 26

m3 = 20

r1 = 5

r2 = 5

r3 = 0

Then based on these values the center of mass is calculated as,

=> [(24 x 5) + (26 x 5) + (20 x 0)]/[24 + 26 + 20]

When we simplify this one then we get,

=> [ 120 + 130 + 0] / 70

Further simplification leads the value of,

=> 150/70

=>15/7

When we simplify this fraction into decimal then we get,

=> 2.14

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The answer is x = 33, as stated in the provided sentence.

Algebraic equations are statements of the equivalence of two expressions created by performing the algebraic operations of addition, removal, multiplying, division, raising to something like a power, as well as extraction of a root to a collection of variables. Samples include (y⁴x² + 2xy - y)/(x - 1) = 12 and x³ + 1.

To solve for x, we can use algebraic manipulation to isolate x on one side of the equation.

Starting with:

(x-9)/2 = 12

We can multiply both sides by 2 to get rid of the fraction:

x-9 = 24

Then, we can add 9 to both sides to isolate x:

x = 33

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Answer:

Huh...?

Step-by-step explanation:

Answer:

Need to know the fraction

Step-by-step explanation:

Step-by-step explanation:

x² x<1

-x²+4x-1 1<x<3

x-3 x>3

Feel free to ask question in the comments

Answer:

Solution given:

Volume of rectangular prism =l*b*h=4*8*3= 96 inches cube