a typist can type 495 words in 15 minutes. How many words can she type in 25 minutes?

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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¿Cuanto tardara en tocar 10 campanadas?

The statement is sometimes true. The number of steps in the reason column can vary depending on the complexity of the proof and the level of detail required to explain each step

The statement that a proof should have more steps in the reason column than steps in the statement column is sometimes true. This is because the number of steps in the reason column depends on the complexity of the proof and the level of detail required to fully explain each step.

Sometimes a proof may have many steps in the statement column but only a few in the reason column if the steps are straightforward and do not require much explanation. On the other hand, some proofs may have fewer steps in the statement column but more in the reason column if the proof involves complex calculations or requires a detailed explanation of each step to fully understand.

Therefore, the number of steps in the reason column cannot always be predicted based on the number of steps in the statement column and can vary depending on the nature of the proof being presented.

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The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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The volume of the region bounded above by the elliptical paraboloid z = 8 - 3x² - 4y and below by the rectangle R: 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, is 0. This means that there is no volume in the given region.

To determine the volume of the region bounded above by the elliptical paraboloid z = 8 - 3x² - 4y and below by the rectangle R: 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, we need to integrate the function over the given region.

The volume V is given by the triple integral:

V = ∫∫∫ 1 dV,

where the limits of integration are 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, and the function being integrated is 1 (representing the infinitesimal volume element).

Integrating with respect to x, y, and z, we have:

V = ∫[0,2] ∫[0,1] ∫[8 - 3x² - 4y, 8 - 3x² - 4y] 1 dz dx dy,

Simplifying, we get:

V = ∫[0,2] ∫[0,1] (0) dx dy

  = ∫[0,2] 0 dy

  = 0.

Therefore, the volume of the region bounded above by the elliptical paraboloid and below by the rectangle R is 0.

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Answer:

The answer to the statement provided is 46.

Answer:

5x² - 10x + 4  

Step-by-step explanation:

11x² - 10x + 4 = 6x²

Subtract 6x² from both sides of the equation.  

5x² - 10x + 4  

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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The area of the figure is 141.5 units²

The space enclosed by the boundary of a plane figure is called its area. The area is measured in units².

The figure can be sub divided into 3 parts,

The first part is a rectangle,

Area of rectangle = l× w

= 6× 8

= 48units²

The second part is also a rectangle

The area of a rectangle = l×w

= 5 × 11

= 55 unit²

The third part is a triangle

area of a triangle = 1/2 bh

= 1/2 × 11 × 7

= 77/2 = 38.5 units²

therefore the area of the figure = 38.5 + 55+48

= 141.5 units²

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Answer:

Ten examples of cuboids in our daily lives are:

1.Shoeboxes

2.Bricks

3.Matchbox

4.Books

5.Mattresses

6. Juice box

8. Fridge

9.Bathroom cubicle

10.Cabinet

Step-by-step explanation:

I really hope this helps

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Madison is approximately 8.825 feet from the base of the platform.

To find the distance Madison is from the base of the platform, we can use trigonometry and specifically the tangent function.

Let's denote the distance Madison is from the base of the platform as x.

In the given scenario, the acrobat's height of 4.5 feet acts as the opposite side of the right triangle, and the distance from the acrobat to Madison (x) acts as the adjacent side. The angle of elevation to the top of the acrobat is 27°.

We can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side in a right triangle:

tan(angle) = opposite/adjacent

tan(27°) = 4.5/x

To solve for x, we can rearrange the equation:

x = 4.5 / tan(27°)

Using a calculator, we can find the value of the tangent of 27°, which is approximately 0.5095.

x = 4.5 / 0.5095

x ≈ 8.825 feet

Therefore, Madison is approximately 8.825 feet from the base of the platform.

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Answer:

do it yourself

Step-by-step explanation:

i ain't your slave

A random sample is a representative subset of individuals selected from the larger population in such a way that each member of the population has an equal chance of being chosen.

The purpose of a random sample is to obtain a sample that is unbiased and reflects the characteristics of the entire population.

By giving every individual an equal opportunity to be included in the sample, random sampling helps minimize selection bias and ensures that the sample is more likely to be representative of the population as a whole. This allows researchers to make valid inferences and generalizations about the population based on the characteristics observed in the random sample.

Random sampling is widely used in various fields, including research, surveys, and statistical analysis, to draw reliable conclusions about a larger population based on a smaller subset of individuals.

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

24/625

Step-by-step explanation:

decimal form is 0.0384

Answer:

75 percent

Step-by-step explanation:

.75 times 20 =15 therefore it is .75 or 75%

Step-by-step explanation:

When lines are perpendicular to each other

multiplying their gradients(m) will equal to - 1

so , m1 × m2 = -1

1st:Find m1

5x+6y= -6

make y the subject,

6y= -5x -6

\(y = \frac{ - 5x - 6}{6} \)

y= -5/6x - 1

because y = mx + c

m1 = -5/6

2nd:find m2

-5/6 × m2 = -1

m2 = 6/5

3rd: substitute m2 and the coordinates into y=mx+c

y=mx+c

-1= (6/5)(-2)+c

-1 = -12/5 + c

-5 = -12 + c

-5+12= c

c = 7

4th: substitute m2 and c into y= mx+c to find the equation the line

y =6/5x + 7 (Ans)

As per slope-intercept form, the equation of the line through point (−2,−1) and perpendicular to 5x + 6y = -6 is 5y = 6x + 7.

The slope-intercept form of a straight line is y = mx + c.

Here, 'm' is the slope and 'c' ix the y-intercept of the given line.

The given equation is 5x + 6y = - 6

Therefore, in slope-intercept form, this equation will be:

y = - 5x/6 - 1

Therefore, the slope of this line is m = - 5/6 and the y-intercept is c = - 1.

The required line is perpendicular to the given line.

Therefore, the slope of the required line is

= - 1/m

= 6/5

Again, the required line passes through the point (- 2, - 1).

Therefore, - 1 = - 2(6/5) + c

⇒ c = - 1 + 12/5

⇒ c = 7/5

The equation of the required line is

y = (6/5)x + 7/5

⇒ 5y = 6x + 7

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2(1/2)/0.25=x and 10 is the quotient for the real-world problem in part.

Division is splitting a group into equal parts and it is one of the four basic math operations.

The real-world problem for the division is

2(1/2)÷)0.25=x

Wth 2.5 L of water. you can drink 0.25L litres in one mouthful.How many mouthfuls do you need to drink.

the quotient for the real-world problem in part is

2.5/0.25

=10

10 is the quotient for the real-world problem in part.

Therefore 10 is the quotient for the real-world problem in part.

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Answer:

Step-by-step explanation: (Equation 2) = 12(-12+9y/4) - 10y = -8

-144+108y/4 - 10y = -8

-144 + 108y - 40y/4 = -8

-144 + 108y - 40y = -32

108y - 40y = -32+144

68y = 112

Y= 1.64

2-4x+9y=14

12x-10y= -8

2-14+9y = 4x

-12 + 9y = 4x ( equation 3)

(Put in equation 2)

Answer:

-4x + 9y = 14 answer is x = \(\frac{9}{4}y+ \frac{-7}{2}\)

12x - 10y = -8 answer is x = \(\frac{5}{6}y +\frac{-2}{3}\)

Step-by-step explanation:

solve for x

-4x + 9y = 14

add -9y to both sides

-4x + 9y + -9y = 14 + -9y

-4x = -9y + 14

divide both sides by -4

-4x/-4 = -9y + 14/-4

Anwser

x = \(\frac{9}{4}y + \frac{-7}{2}\)

solve for x

12x - 10y = -8

add 10y to both sides

12x - 10y + 10y = -8 + 10y

12x = 10y -8

Divide both sides by 12

12x/12 = 10y - 8/12

Anwser

x = \(\frac{5}{6}y +\frac{-2}{3}\)

Answer:

i think D

Step-by-step explanation:

im not great at math but yea i think D

David is having his birthday party at a waterpark. The park charges $150 plus $10 per guest is showing proportional relationship

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

From the First relation it tell us about different things which cannot represent as proportion.

Now, In second there are more than 2 different quantiles  cannot represent as proportion.

The last one is showing the proportion relation because it has price for per guest and can be compared to more than one guest.

Hence, the part D shows the proportion relation.

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Answer:

37

Step-by-step explanation:

use inverse operations to solve ,

16 - 11 = g

g = 5

if g = 5 then , 5 times 5 is 25 , add 12 to 25 and get 37

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The value of the expression 5g + 12 is 37, when g equals 5.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given A equation g + 11 = 16.

g = 16 - 11.

g = 5.

Now, 5g + 12

= 5×5 + 12.

= 25 + 12.

= 37.

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Answer: Square and rectangle

Step-by-step explanation:

The domain of the function is all positive real numbers, representing the possible diameters of the rope, while the range is all positive real numbers, indicating the potential breaking strengths of the manila rope.

The domain of the function is all positive real numbers since the diameter of a rope cannot be negative or zero. However, it is important to note that in practical terms, the diameter should also have a minimum value, typically determined by the manufacturing specifications or practical constraints.

The range of the function represents the possible breaking strengths of the manila rope. Since the function is defined as z = 8900d^2, where d is the diameter, the breaking strength (z) will always be a positive value. As the diameter increases, the breaking strength also increases, and there is no upper limit to the breaking strength. However, it is essential to consider practical limitations, such as the maximum load capacity of the material used or any physical constraints that may prevent the rope from achieving extremely high breaking strengths.

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Answer:

The place value of 5 is HUNDREDTH

Explanation:

From the right-hand side, the place value of:

8 is Hundred

2 is Ten

6 is Unit

1 is Tenth

and finally, what we are required to tell,

5 is Hundredth.