Please help ASAP Tysm guys!

Answer:

the volume of that cone is 75.36

Step-by-step explanation:

V=πr^2h/3=π·3^2·8/3≈75.39822

Answer:

75.36 yd³

Step-by-step explanation:

Volume of Cone = ⅓♧r²h

Represent pi with ♧ ;

♧ = 3.14

r = 6 yd/2 = 3

h = 8 yd

= ⅓ × 3.14 × 3² × 8

= 75.36 yd³

Answer:

40

Step-by-step explanation:

The middle dot of the box is the median.

Answer:

the median is 44.75

Step-by-step explanation:

first i add up all the numbers

40+37+48.5+53.5=175

then i divide them by how 4

179 divided by 4=44.75

At point P (2, π/4, 2), vector A in Cartesian coordinates is A = <1, 2.5, 2>.

To express vector A in Cartesian coordinates, we can use the following conversions between cylindrical and Cartesian coordinates:

x = ρ * cos(θ)

y = ρ * sin(θ)

z = z

Given vector A = cos(θ) - ρ * sin(θ) + 2 * cos(θ) * sin(θ), we can substitute the corresponding expressions for ρ, θ, and z:

x = cos(θ) * cos(θ) - ρ * sin(θ) * sin(θ) + 2 * cos(θ) * sin(θ)

y = cos(θ) * sin(θ) + ρ * cos(θ) * sin(θ) + 2 * cos(θ) * sin(θ)

z = 2

Simplifying these expressions, we get:

x = cos^2(θ) + 2 * cos(θ) * sin(θ) - ρ * sin^2(θ)

y = cos(θ) * sin(θ) + ρ * cos(θ) * sin(θ) + 2 * cos(θ) * sin(θ)

z = 2

Now, we can evaluate vector A at point P (2, π/4, 2):

x = cos^2(π/4) + 2 * cos(π/4) * sin(π/4) - 2 * sin^2(π/4)

y = cos(π/4) * sin(π/4) + 2 * cos(π/4) * sin(π/4) + 2 * cos(π/4) * sin(π/4)

z = 2

Simplifying further, we have:

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

y = (1/2) + 1 + 1 = 2.5

z = 2

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Answer:

A x<1125

Step-by-step explanation:

Answer:

Fraction: 1/2

Decimal: 0.5

Percent: 50%

Step-by-step explanation:

Half is shaded

Answer:

fraction : 1/2

decimal : 0.5

percent : 50%

Step-by-step explanation:

if we look at the square as 1, then the shaded part of the square would be half of one.

Answer:

Whole number

rational numbers

natural number

interger

Step-by-step explanation:

Answer:

The perimeter of the drawing: 18 inches

The perimeter of the actual flower bed: 540 inches

If they were multiplied by 24 instead the actual perimeter of the flower bed would be 432 inches. The effect is that it decreases by 108 inches.

Step-by-step explanation:

Taking the 4 inches and 5 inches and multiplying them by 30 gets 120 by 150. If its a rectangle we will add together all 4 sides to get the perimeter of the actual one.

Answer:

12

Step-by-step explanation:

it will be 12 inches greater

The volume of the front door is 72 cubic inches greater than the volume of the bedroom door.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Assuming that the bedroom door has the same height as the front door, we can use the formula for the volume of a rectangular solid to calculate the volume of each door.

Let L, W, and H be the length, width, and height of the front door, and let L' and W' be the length and width of the bedroom door.

We know that Lx W = 72 (since the area of the base is 72 square inches), and L' x W' = 60 (since the area of the base is 60 square inches).

The volume of the front door is given by V = LWH.

The volume of the bedroom door is given by V' = L'*W'*H.

Since the height is the same for both doors, we can divide V by V' to get the ratio of the volumes:

V/V' = (LWH)/(L'*W'H)

V/V' = (LW)/(L'*W') (canceling out the heights)

Substituting in the given values, we get:

V/V' = (72)/(60)

V/V' = 6/5

This means that the volume of the front door is 6/5 times the volume of the bedroom door.

To find the difference in volume, we can subtract the volume of the bedroom door from the volume of the front door:

V - V' = (6/5)*V' - V'

V - V' = (1/5)V'

V - V' = (1/5)(L'*W'*H)

Substituting in the values for L', W', and H, we get:

V - V' = (1/5)*(L' x W' x H)

V - V' = (1/5)(√(60) x √(60) x H)

V - V' = (1/5) x 360

V - V' = 72

Therefore,

The volume of the front door is 72 cubic inches greater than the volume of the bedroom door.

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A binomial probability distribution with p = 0.3 is c. positively skewed.

A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.

The correct answer is c. positively skewed.

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Answer:

the remNING MAS IS 345

Step-by-step explanation:

I DID THIS BEFORE

Explanation:

First we add up those numbers

2+6+9+56+63+68 = 204

Then divide by 6 because there are 6 values in this list.

204/6 = 34

Answer:34

Step-by-step explanation:It's obtained by simply dividing the sum of all values in a data set by the number of values.

Answer:

x=5 y=3

Step-by-step explanation:

x+y=8 1

x-y=2 2

x+y=8

y=8-x

substitute into 2

x-(8-x)=2

x-8+x=2

2x=10

x=5

substitute x into 1

5+y=8

y=3

5+3=8

5-3=2

To find the volume of square pyramid, We use the formula that given below.

\( {x}^{2} \times \frac{y}{3} \)

where x is base and y is height. So, let's substitute the values.

\( {10}^{2} \times \frac{18}{3} \)

It gives

\(600 {cm}^{3} \)

‎ㅤ‎ㅤ‎ㅤ~Volume of the given square pyramid is 600cm³

‎ㅤ

Volume of square pyramid is given by:

\( \qquad\maltese\quad{\pmb{ \sf { V = \dfrac{1}{3} ( base\:area)\times height}}}\)

Here, we have:

\( \quad\dashrightarrow\quad \sf {V = \dfrac{1}{3}\times 10\times 10\times 18 }\)

\( \quad \dashrightarrow \quad \sf {V =\cancel{\dfrac{1800}{3} } }\)

\( \quad \dashrightarrow \quad \sf {V = 600cm^3 }\)

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the volume of given square pyramid is 600cm³.

\( \rule{350pt}{1pt}\)

The other two factors  of the function f(x) are (x + 3/2) and (x - 5/3)

Here we have the function:

f(x) = 6x³ - 25x² - 11x + 60

And we know that (x - 4) is a factor, then we can define a quadratic function p(x) =ax² + bx + c such that:

6x³ - 25x² - 11x + 60 = (x - 4)*(ax² + bx + c)

Expanding the right side:

6x³ - 25x² - 11x + 60 = (x - 4)*(ax² + bx + c)

6x³ - 25x² - 11x + 60 = ax³ + bx² + cx - 4ax² - 4bx - 4c

Grouping like terms:

6x³ - 25x² - 11x + 60 = ax³ + (b - 4a)x² + (c - 4b)x - 4c

Pairing like terms (by the exponent of the variable) we will get:

6 = a

-25 = b - 4a

-11 = c - 4b

60 = -4c

From the last one we will get:

c = 60/-4 = -15

Now we can use the second equation to get:

-11 = c - 4b

-11 = -15 - 4b

-11 + 15 = -4b

4/-4 = b

-1 = b

Then the quadratic is:

p(x)=  6x² - x  -15

The zeros of that are:

\(x = \frac{1 \pm \sqrt{(-1)^2 - 4*6*-15} }{2*6} \\\\x = \frac{1 \pm 19}{12}\)

Then the two zeros are:

x+  = (1 + 19)/12 = 20/12 = 5/3

x- = (1- 19)/2 = -18/12 = -3/2

Then the other factors are (x + 3/2) and (x - 5/3)

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The equation of the linear graph is y = x-2

A linear equation is an algebraic equation of the form y=mx+c. involving only a constant and a first-order (linear) term, where m is the slope and c is the y-intercept. Linear equation can also be defined as an equation with the highest power of the variable to be 1.

on the graph, the y intercept is the point where the graph line crosses the y axis. Therefore the y intercept is -2

The slope of the line = 0-(-2)/2-0

slope = 2/2 = 1

therefore the equation of the graph is ;

y = mx+c

y = x+(-2)

y = x-2

therefore the equation of the linear graph = y = x-2

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Answer:

120

Step-by-step explanation:

First, you notice that both the angles add up to 180 degrees because it is a straight line.  Therefore, 2x+x+90=180.  Now you have an equation to solve!  Subtract 90 from both sides and combine like terms.  3x=90.  Therefore, x=30.  Now you plug x back in to find out m<DBC.  DBC=x+90 which is 30+90= 120.  

Bubba can paint an area of approximately 205,797.10 square meters with a single coating of the 3 gallons of paint, assuming he manages a uniform thickness.

The area that Bubba can paint with a single coating of the 3 gallons of paint, we need to first convert the volume of the paint into liters. As given, 1 gallon is the same as 3.78 liters.
3 gallons x 3.78 liters/gallon = 11.34 liters
Now, we need to use the thickness of the paint to calculate the area that can be covered with this amount of paint. The thickness of the paint is given as 0.0552 mm. We need to convert this to meters so that it is in the same units as the area. 1 mm is equal to 0.001 meters, so:
0.0552 mm x 0.001 meters/mm = 0.0000552 meters

The thickness of the paint in meters. Now we can use the volume and thickness of the paint to calculate the area that can be covered. The formula for this is:
Area = Volume / Thickness
Area = 11.34 liters / 0.0000552 meters
Area = 205,797.10 square meters

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In looking at a scatter plot of inter-rater reliability, a researcher would want to see all the dots close to the line of agreement because it shows that there is a high level of agreement between the raters.

Inter-rater reliability refers to the degree to which different raters or observers agree on their judgements or evaluations of a particular behavior, characteristic, or event. It is a measure of consistency between the observations of two or more raters. Inter-rater reliability is important because it ensures that the results obtained from the research are valid and reliable, which means that they are accurate and can be trusted.

In a scatterplot of interrater reliability, the dots represent the ratings or observations made by different raters. The line of agreement is a straight line that represents perfect agreement between the raters, i.e., all the raters make the same rating. If all the dots are close to the line of agreement, it means that the raters are in close agreement with each other, and there is a high level of inter-rater reliability.

If the dots are scattered far from the line of agreement, it means that the raters are not in agreement with each other, and there is a low level of inter-rater reliability. Thus, a researcher would want to see all the dots close to the line of agreement because it shows that there is a high level of agreement between the raters.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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The product of vectors a and b is approximately 5.292.

To find the product of two vectors a and b, we need to use the dot product formula which is a · b = |a| |b| cosθ, where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
In this case, we are given that |a| = 2 and |b| = 7, and the angle between a and b is 2/3. We can use this information to find cosθ as follows:
cosθ = cos(2/3) ≈ 0.378
Now, we can substitute the values into the formula:
a · b = |a| |b| cosθ
a · b = 2 * 7 * 0.378
a · b ≈ 5.292
Therefore, the product of vectors a and b is approximately 5.292.

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The statement that best describes Lucia's claim is at option (b), that is " Lucia's claim is incorrect since not all the rotations that are multiples of 45° carry a square onto itself".

It is given that, Lucia draws a square and plots the center of the square.

Lucia claims that " any rotation about the center of the square that is a multiple of 45° will carry the square onto itself".

To verify this claim, we need to construct a square (ABCD) as shown in the figure.

When the square ABCD is rotated about 45° where we can it is 1 × 45°, the square formed is A'B'C'D' is not the same as the actual one. So, they are not in symmetry after the rotation n this case.

If we rotate again, that is for the second multiple of 45° (2 × 45°), we get a square A''B''C''D''. But, now the square is similar to the actual one. So, they are in symmetry.

This means we can say that, not for all the multiples of 45° rotation, the square does not carry onto itself.

Therefore, we can conclude that "Lucia's claim is incorrect since not all rotations that are multiples of 45' carry a square onto itself".

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The smallest value of n that guarantees |tn(x)−ln(1−x)|<0.01 for all x in the interval i= − 1 2 , 1 2 is n=1.

The Taylor series expansion of the function ln (1-x) is given as follows:

ln(1−x)=∑n=1∞(xn/n)

For this problem, we can use the Lagrange form of the Taylor remainder, which is shown below:

Rn(x)=f(n+1)(ξ)(x-a)n+1/(n+1)!, Where a=-1/2, n=1, f(x)=ln(1-x), and we need to find the smallest value of n such that

|tn(x)−ln(1−x)|<0.01 for all x in the interval i= − 1 2 , 1 2 .

The first derivative of ln(1-x) is given by:

f(x)=ln(1-x)

f'(x)=-1/(1-x)2

f''(x)=2/(1-x)3

Using the second derivative, we get the maximum possible value of |f''(x)| on the interval as:

|f''(x)|=2/(1-(-1/2))3

=54

Thus, we can simplify the Lagrange form of the Taylor remainder as follows:

|Rn(x)|<=|f(n+1)(ξ)/(n+1)!| |x-(-1/2)|n+1<=54|f(n+1)(ξ)/(n+1)!| |x+1/2|n+1<=54

Therefore, the smallest value of n that guarantees |tn(x)−ln(1−x)|<0.01 for all x in the interval i= − 1 2 , 1 2 is n=1. This value can be determined using the Lagrange form of the Taylor remainder.

We can set the bound for |Rn(x)| to be less than 0.01 and solve for n using the inequality derived from the maximum value of the second derivative of ln(1-x) on the interval.

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Since P(x) = R(x) - C(x), then:

Then, simplify the expression above.

First, distribute the negative sign to the terms inside the second parenthesis.

Then, arrange the terms according to their degree.

Then, combine similar terms.

Therefore, the value P(x) is x⁴ - 3x³ + x² - 4.

Answer:

B

Step-by-step explanation:

Edge 2021.

Answer:

35

Step-by-step explanation:

Answer:

-81+9p

Step-by-step explanation:

-9(9-p)

-9×9-9×-p

-81-9×-p

-81-(-9p)

-81+9p

9p-81

The required equation that is perpendicular to the line y = -¾ x - 14 and goes through the point (0, 13) is 3x + 4y = 52 .

Given equation is y = - 3/4 - 14

this is of the form y = mx + c

on comparing, m= - 3/4

And the points given are x = 0 and y =13

thus as we know that the equation of the line is

y - y₁ = m ( x- x₁ )

On substituting the values mentioned above we see that

y - 13 = - 3/ 4 ( x - 0 )

4 y - 52 = - 3 x

and on rearranging we get :

3x + 4y = 52

Thus the required equation that is perpendicular to the line y = -¾ x - 14 and goes through the point (0, 13) is 3x + 4y = 52 .

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The time taken to cover the distance of 343 miles from los angeles  to san francisco with average speed is found as: t = 2.98 hours.

average speed = total distance / total time

Let total distance d made up of d1 and d2, which are distances covered by car and van.

d = 343 miles .

d = d1 + d2

Time taken is t.

distance = speed*time

Then,

343 = 52t + 63t

343 = 115t

t = 343/115

t = 2.98 hours

Thus, the time taken to cover the distance of 343 miles from los angeles  to san francisco with average speed is found as: t = 2.98 hours.

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Answer:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Step-by-step explanation: