10 m


20 m


30


1. ¿Qué fracción de camino representan los 10 m?



2. Si la casa se encuentra a del camino, ¿cuántos metros son?_25


3. ¿A los cuántos metros está representado del camino?


4. ¿Qué fracción representa los 20 m del camino?


j


Resuelve los problemas.

Answer:

D

Step-by-step explanation:

Answer:

Option B and D are correct

Step-by-step explanation:

HOPE IT HELPS

The volume of a square pyramid is given by the formula: V = (1/3) * b^2 * h

where b is the base length and h is the height.

In this case, the base is a square with sides of length 2.75 inches, so the base area is:

b^2 = 2.75^2 = 7.5625 square inches

The height of the pyramid is also 2.75 inches.

Therefore, the volume of the ornament is:

V = (1/3) * 7.5625 * 2.75 = 6.5391 cubic inches

Rounding to the nearest hundredth, the approximate volume of the ornament is:

V ≈ 6.54 cubic inches

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The surface area defined by the parametric equations x = u^2, y = uv, z = v^2/2 is 118.75 square units; where 0 ≤ u ≤ 5 and 0 ≤ v ≤ 3.

To is the area of ​​a place, we can use the model of that place for the parametric place. Formula:

A = ∫∫ (∂r/∂u) x (∂r/∂v)

dA

specifies the parametric equation where r(u, v) = (u^2, uv, v^2/2).

First we need to calculate the partial derivatives of (∂r/∂u) and (∂r/∂v):

∂r/∂u = (2u, v, 0)

∂r/∂v = (0 ) , u , v/2)

Next, we need to calculate the cross product of (∂r/∂u) x (∂r/∂v):

(∂r/∂u) x (∂r /∂v) = (v(v) /2, 2uv, -u^2)

Multiplying the size of the vector gives:

(∂r/∂u) x (∂r/∂v) = √( v^4/4 + 4u ^2v^2 + u ^4)

Now we integrate this magnitude at the given limit of u and v:

A = ∫[0.5]∫[0,3] √(v^4/4 + 4u^ 2v^2 + u^4) dv du

Calculating the two components together gives us the final answer:

A = 118.75 square units.

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There are 9883 numbers which are neither perfect squares not perfect cubes.

To find the integers between one and a million (inclusive) are neither perfect squares not perfect cubes.

Now, According to the question:

1 million means = 1000,000

We know the squares of numbers:

We have 100 square are as follows:

\(1^2,2^2.....100^2\).

Now, The cubes are:

We have \(21^3\) cubes :

\(1^3, 2^3,.....,[\sqrt[3]{10000} ]^3\)

Numbers that are squares and cubes:

We have \(4^6\) numbers.

\(1^6,2^6,.......,[\sqrt[6]{10000} ]^6\)

By inclusion - exclusion principle are as follows:

10000 - 100 - 21 +4

= 9883 numbers

Hence, There are 9883 numbers which are neither perfect squares not perfect cubes.

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Answer:

The first equation of this system is y =2 x + 3.

The second equation of this system is y = 3x −1 .

The solution of the system is (4,11).

Step-by-step explanation:

PLATO CORRECT

The solution of the system of equations are  (4, 11).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

The first equation of this system is y = 2x + 3.

The second equation of this system is y = 3x - 1

Now,

y = 2x + 3 _____(1)

y = 3x - 1 _______(2)

(1) = (2)

2x + 3 = 3x - 1

3 + 1 = 3x - 2x

x = 4

Now,

Putting x = 4 in (1) or (2)

y = 2 x 4 + 3 = 8 + 3 =  11

y = 3 x 4 - 1 = 12 - 1 = 11

Thus,

The solutions of the system are (4, 11).

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Answer:

Y= -1/3x+11/3

Step-by-step explanation:

Using it's concept, it is found that the percent increase in the amount of iron per serving was of 50%.

It is given by the increase divided by the initial value, and subtracted by 100%.

In this problem:

Hence the percent increase is given by:

P = 0.6/1.2 x 100% = 50%.

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Answer:

I believe it is 24

Step-by-step explanation:

Represent the number of dogs as x

Then, the number of cats is (x+2) x 2 = 2x + 4 (the number of dogs is two less than twice the number of cats -> the number of cats is 2 more than twice the amount of dogs)

There is a total of 25 animals -> 2x + 4 + x = 25
Simplify as 3x + 4 = 25
3x = 25 - 4 = 21
x = 21/3 = 7

So, there are 7 dogs, and 25-7 = 18 cats.

Answer:

f(-2/3)=-1

Step-by-step explanation:

f(x)=3x+1  

f(-2/3)=3*(-2/3)+1

f(-2/3)=-2+1

f(-2/3)=-1

Answer:

Step-by-step explanation: -

Explanation:

Squaring 3 leads to 9. The same applies to -3 as well because \((-3)^2 = (-3)(-3) = 9\). The two negatives cancel out.  This is why the solutions to \(x^2 = 9\) are -3 and 3. That rules out choice B.

Choices C and D can be ruled out because \((-3)^3 = (-3)*(-3)*(-3) = -27\). We end up with a negative result which contradicts the positive value on the right hand side of the original equation. Sure x = 3 works, but x = -3 does not.

Answer:

5n + 10 d = 365

Step-by-step explanation:

The equation that represents a coin jar containing n nickels and d dimes worth a total of $3.65 is as follows :

0.05n+0.1d=3.65

We need to find the equivalent expression.

We can write the above expression as follows :

\(\dfrac{5}{100}n+\dfrac{1}{10}d=\dfrac{365}{100}\\\\\text{LCM of 100 and 10 is 100}\\\\\dfrac{5n+10d}{100}=\dfrac{365}{100}\\\\5n+10d=365\)

So, the equivalent expression is 5n + 10 d = 365

A mathematical proof can be carried out by mathematical induction and by contradiction

The function is given as:

\(d(n) = \frac{n(n + 1)}{2}\)

When n = 1, we have:

\(d(1) = \frac{1(1 + 1)}{2}\)

\(d(1) = 2\)

When n = k, the function becomes

\(d(k) = \frac{k(k + 1)}{2}\)

When n = k + 1, the function becomes

\(d(k) + k + 1 = \frac{k(k + 1)}{2} + k + 1\)

Open the bracket

\(d(k) + k + 1 = \frac{k^2 + k}{2} + k + 1\)

Take the LCM

\(d(k) + k + 1 = \frac{k^2 + k + 2k + 2}{2}\)

Factorize

\(d(k) + k + 1 = \frac{k(k + 1) + 2(k + 1)}{2}\)

Factor out k + 1

\(d(k) + k + 1 = \frac{(k + 2)(k + 1)}{2}\)

This gives

\(d(k + 1)= \frac{(k + 2)(k + 1)}{2}\)

Because k + 1 satisfies the given function, then the function \(d(n) = \frac{n(n + 1)}{2}\) has been proved by induction

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer:

b

Step-by-step explanation:

The transformation that maps triangle ABC onto triangle DEF is an enlargement with center of dilation at point D and scale factor of 2/3.

Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Since triangle ABC is similar to triangle DEF, this means that the corresponding angles in both triangles are congruent, and the corresponding sides are in proportion. In other words, if we denote the length of side BC as x, then:

BC/AB = EF/DE

AC/AB = DF/DE

AC/BC = DF/EF

To map triangle ABC onto triangle DEF, we need a transformation that preserves the angles and the ratios of the sides. This transformation is a dilation or enlargement, which means that the image is similar to the original triangle.

To find the scale factor of the dilation, we can use the ratio of the corresponding sides:

EF/DE = BC/AB

Substituting the given values, we get:

EF/3 = x/2

Solving for x, we get:

x = 2EF/3

This means that the length of side BC is 2/3 times the length of side EF. Therefore, the transformation that maps triangle ABC onto triangle DEF is an enlargement with center of dilation at point D and scale factor of 2/3.

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If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Answer:

30cm

Step-by-step explanation:

15 x 2 = 30

Since it's half of a circle 15 is half of the full term.

Half and a half equal a whole, to calculate the area of the semi-circle, you would want to multiply by 2.

Solving a linear equation, we will see that 109 attendees did not visit the concession stand.

First, we know that the total number of surveyed people is 680.

Of these 680, we know that:

Now, the 3 numbers above should add up to the total number of surveyed people.

527 + 44 + x = 680

Solving that linear equation for x:

x = 680 - 527 - 44 = 109

We conclude that the number of attendees who did not visit the concession stand is 109.

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A value of 0.25 for p(1-p) in the sample size formula when the true value of p is unknown.

This is because the value of p(1-p) is maximum when p=0.5, and since we do not have any information about the true value of p, assuming p=0.5 is the most conservative approach. Therefore, to calculate the sample size required to estimate a proportion using a confidence interval with a margin of error e, we can use the formula:

\(n = [z^2 * p(1-p)] / e^2\)

where z is the z-score corresponding to the desired level of confidence (e.g., 1.96 for 95% confidence), and e is the desired margin of error. We can use p=0.5 and solve for n to get a conservative estimate of the sample size required for the given confidence level and margin of error.

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If prior knowledge or data suggests that the proportion is significantly different from 0.5, then a more accurate estimate of p should be used in the formula.

To calculate the sample size formula for estimating a proportion using a confidence interval with a margin of error e, we

use the following formula:

\(n = (Z^2 × p × (1-p)) / e^2\)

where n is the required sample size, Z is the Z-score corresponding to the desired level of confidence,

p is the estimated proportion, and

e is the margin of error.

Since the product p(1-p) is not known, a conservative approach is to use p = 0.5, which is the value that maximizes the

product p(1-p) for any given proportion.

This approach ensures that the sample size will be large enough to obtain a reliable estimate of the proportion, even if

the true proportion is close to 0 or 1. However, if prior knowledge or data suggests that the proportion is significantly

different from 0.5, then a more accurate estimate of p should be used in the formula.

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b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.

a) The system of linear equations representing the situation is:

r + l + i = 15 (total flowers in one centerpiece)

r = 2(l + i) (twice as many roses as irises and lilies combined)

10(2.50r + 4l + 2i) = 370 (total budget)'

Matrix equation: AX = B, where

A = [[1, 1, 1], [2, -1, -1], [25, 40, 20]],

X = [[r], [l], [i]], and

B = [[15], [0], [370]]

b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.

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The Complete Question:

A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $370 allocated for the centerpieces and wants each centerpiece to contain 15 flowers, with twice as many roses as the number of irises and lilies combined. (Let r represent the number of roses, l represent the number of lilies, and i represent the number of irises.)

a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system.

b) Find the number of flowers of each type that the florist can use to create the 10 centerpieces.

Answer:

Step-by-step explanation:

1-13

2-8

Answer:

Step-by-step explanation:

000111

2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×1 + 2⁰×1 = 7

000111 = 7

000100

2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×0 + 2⁰×0 = 4

000100 = 4

001100

2⁵×0 + 2⁴×0 + 2³×1 + 2²×1 + 2¹×0 + 2⁰×0 = 12

001100 = 12

111001

2⁵×1 + 2⁴×1 + 2³×1 + 2²×0 + 2¹×0 + 2⁰×1 = 57

111001 = 57

I hope I've helped you.

Answer :

$52.50 - x

Step-by-step explanation:

8.75*6 = 52.5

Price of the book = x

$52.50 - x

Answer:

There might be 31 or 32

Step-by-step explanation:

I would have a better answer if i knew the probability of the blue marbles being chosen srry.

Answer:

7 in.^2

Step-by-step explanation:

Solution 1

A = bh/2

b = 2

h = 7

2 x 7 = 14

14/2 = 7 in^2

Solution 2

Rectangle Area = bh

b = 7

h = 5

7 x 5 = 35

question said the triangle is 1/5 of the rectangle area.

35/5 = 7 in.^2

The probability of not drawing a blue marble is 0.51, which can also be expressed as 51/100 or 51%.

To find the probability of not drawing a blue marble (P(no blue)), we need to consider the outcomes where blue marbles are not drawn.

From the given table, we can see that the outcomes are categorized as Red, Red; Red, Blue; Blue, Blue; and Blue, Red.

The outcomes "Red, Red" and "Red, Blue" are the ones where blue marbles are not drawn, as the first marble drawn is red in both cases.

The frequency of the outcome "Red, Red" is 19, and the frequency of the outcome "Red, Blue" is 32.

Adding these frequencies together gives us 19 + 32 = 51.

Since the experiment involves drawing marbles twice and replacing them, the total number of outcomes is 100.

Therefore, the probability of not drawing a blue marble (P(no blue)) can be calculated as the frequency of the desired outcomes (51) divided by the total number of outcomes (100):

P(no blue) = 51/100

Simplifying this fraction, we get:

P(no blue) = 0.51.

So, the probability of not drawing a blue marble is 0.51, which can also be expressed as 51/100 or 51%.

In conclusion, based on the given data, the probability of not drawing a blue marble in the experiment is 0.51 or 51%.

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Answer:

Exact Form:

31/24

Decimal Form:

1.291¯6

Mixed Number Form:

1 7/24

Step-by-step explanation:

Answer:

1 1/3

Step-by-step explanation:

3/4+2÷3-1/8

3/6÷2/8

1/3÷1/4

1/3×4/1

=4/3

we an improper fraction,

1 1/3