Sandy is twice as Charlotte, who in turn is 5 years older than Emma. If their total age is 47 years,how old is each of them​

To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

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The integral of 1 x^2 is a mathematical concept used to find the area under the curve of the function f(x) = x^2, and is equal to (1/3)x^3 + C, where C is an arbitrary constant of integration.

An integral is a mathematical concept used to find the area under a curve, or the accumulation of quantities that change continuously over time. The indefinite integral of x^2 can be found using basic integration rules and techniques.

In simple terms, an integral can be thought of as the sum of infinitely many small rectangles, each with a height equal to the value of a function at a certain point and a width equal to a small change in the independent variable. The integral of 1 x^2 refers to the indefinite integral of the function f(x) = x^2, where x is the independent variable. The purpose of finding the indefinite integral is to determine the general form of the function whose derivative is the original function. The result of indefinite integral of x^2 is: ∫ x^2 dx = (1/3)x^3 + C, where C is an arbitrary constant of integration. So, when finding the indefinite integral of 1 x^2, you can see that it represents the area under the curve of the function f(x) = x^2. The constant of integration, C, can be used to represent the fact that the indefinite integral of a function is not unique and depends on the choice of the lower and upper limits.

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Mohr's circle is a graphical method used to determine the principal stresses and shear stresses in a material. Given the stress components σx = 16 ksi, σy = 9 ksi, and τxy = 5 ksi, we can follow several steps to draw and analyze Mohr's circle.

1. To begin, draw a stress element with the x-axis representing normal stress (σ) and the y-axis representing shear stress (τ). Label the x-axis as σ and the y-axis as τ.

2. Find the center of Mohr's circle by calculating the average of the normal stresses: (σx + σy) / 2. In this case, the center is ((16 + 9) / 2, 0) = (12.5 ksi, 0).

3. Determine the radius of Mohr's circle using the formula: R = ((σx - σy) / 2). In this case, the radius is ((16 - 9) / 2) = 3.5 ksi.

4. Draw Mohr's circle with the center at (12.5 ksi, 0) and a radius of 3.5 ksi. The circle represents all possible stress states for the given stress components.

5. To draw the principal stress element, draw a line from the center of the circle to the right edge of the circle. The angle between this line and the x-axis represents the orientation of the principal stress element.

To find the absolute shear stress when σx = σy, we need to identify the point on Mohr's circle where the x-axis intersects. At this point, the shear stress (τ) is zero, since there is no shear stress when σx = σy.

Mohr's circle can be drawn by following the steps outlined above. The circle represents all possible stress states, and the principal stress element can be identified by drawing a line from the center to the right edge of the circle. The absolute shear stress when σx = σy is zero, as indicated by the point where the x-axis intersects Mohr's circle.

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Answer:

3

Step-by-step explanation:

5<18 is 23 and 23 by 6 is 4 and 4 by 2 is 2 + 1 = 3

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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Answer:

The standard form is  8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11

The degree of given polynomial is '5'

the co-efficient of  y⁴  is '-17'

Step-by-step explanation:

Given standard form 2 y²+ 6 y³-11-17 y⁴+8 y⁵

The form ax² + b x + c is called the standard form of the quadratic expression of 'x'.This is second degree standard form of polynomial.

The form ax⁵ + b x⁴ + c x³ +d x² +ex +f  is called the standard form of the quadratic expression of 'x'.This is fifth degree standard form of polynomial

now Given polynomial is  2 y²+ 6 y³-11-17 y⁴+8 y⁵

The standard form is

                                8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11

Conclusion:-

The degree of given polynomial is '5'

The co-efficient of  y⁴  is '-17'

The equation of the directrix of the parabola y = -5/8x^2 - 3x + 4 is y = k + 5/2, where k is the y-coordinate of the vertex.

The equation of a parabola in general form is given by:

y = ax^2 + bx + c

In this case, the equation of the parabola is y = -5/8x^2 - 3x + 4. To determine the equation of the directrix, we need to rewrite the equation in the standard form of a parabola:

4p(y - k) = (x - h)^2

where (h, k) is the vertex of the parabola and p is the distance from the vertex to the focus and to the directrix.

Comparing the given equation with the standard form, we have:

a = -5/8

The distance from the vertex to the directrix is equal to |4a|.

Therefore, the equation of the directrix can be determined as follows:

Directrix: y = k - |4a|

In this case, a = -5/8, so the equation of the directrix is:

Directrix: y = k - |4(-5/8)|

Simplifying further:

Directrix: y = k + 5/2

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The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

We have,

The probability of getting a 6 and any color except a shade of blue:

This probability involves rolling a 6 on the die and getting any color except a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has four colors that are not shades of blue, the probability is (1/6) x (4/5) = 2/15.

The probability of getting a 5 and a shade of blue:

This probability involves rolling a 5 on the die and getting a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has one shade of blue section, the probability is (1/6) x (1/5) = 1/30.

The probability of getting an even number and a shade of blue:

This probability involves rolling an even number (2, 4, or 6) on the die and getting a shade of blue on the spinner.

Since the die has three even numbers and six equally likely outcomes, and the spinner has one shade of blue section, the probability is (3/6) x (1/5) = 1/10.

The probability of getting at least 3 and any color except a shade of blue:

This probability involves rolling a number greater than or equal to 3 on the die and getting any color except a shade of blue on the spinner.

Since the die has four outcomes (3, 4, 5, or 6) that satisfy this condition, and the spinner has four colors that are not shades of blue, the probability is (4/6) x (4/5) = 4/15.

The probability of getting at most 4 and yellow:

This probability involves rolling a number less than or equal to 4 on the die and getting yellow on the spinner.

Since the die has four outcomes (1, 2, 3, or 4) that satisfy this condition, and the spinner has one yellow section, the probability is (4/6) x (1/5) = 2/15.

Thus,

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

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Answer: $310,000

Step-by-step explanation:

In 40 additional years, the amount she made less than her college counterparts was;

= 10,000 * 40

= $400,000

She however made $90,000 more than them as they went to college;

= 400,000 - 90,000

= $310,000

The long-term financial cost was $310,000.

Answer:

1/2

Step-by-step explanation:

-1(15+4-27)/16

Add 15 and 4 to get 19.

Now you have -1(19-27)/16

Subtract 27 from 19 to get −8.

-1(-8)/16

Reduce the fraction 16/−8 to lowest terms by extracting and canceling out 8.

-(-1/2)

Simplify

1/2

Answer:

1/2

Step-by-step explanation:

⁻¹⁽¹⁵⁺⁴⁻²⁷⁾⁄₁₆

Calculate:

-(15 + 4 - 27) / 16

-(19-27)/16

-(-8) / 16

= 8/16

Simplify:

= 1/2

Answer:

The number of solutions is equal to the highest power exponent.

That is a cubic equation, so it has 3 solutions.

Step-by-step explanation:

\Step-by-step explanation:

convert to math form:

\(\frac{x}{2} \le5\)

simplify:

\(x \le 10\)

convert to word form(optional):

x is less than or equal to 5.

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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The a28th term of a arithmetic sequence is -242.

According to the statement

We have given that :

a1 = 1 and d = -9. And by use of it we have to find the value of the a28th term in the arithmetic sequence.

So, arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

And the formula is

an = a1 +(n-1)d

here put the values in it

an = a28 , n = 28, d =-9, a1 =1

then

an = a1 +(n-1)d

a28 = 1 +(28-1)(-9)

a28 = 1 +(27)(-9)

a28 = 1 -243

a28 = -242.

So, The a28th term of a arithmetic sequence is -242.

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The probability of a student completing the final examination in less than 65 minutes is 13.45%.

The time it takes to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. This can be expressed mathematically as X~N(77, 12).

The probability of a student completing the final examination in less than 65 minutes can be calculated by using the Z-score formula:

Z = (x - μ) / σ

Where x = 65 minutes, μ = 77 minutes, and σ = 12 minutes.

Plugging these values into the formula, we get:

Z = (65 - 77) / 12 = -1.17

Using a Z-score table, we can find the probability of a student completing the final examination in less than 65 minutes, which is equal to 0.1345, or 13.45%. Therefore, the probability of a student completing the final examination in less than 65 minutes is 13.45%.

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Answer:

c=\(\sqrt{52}\)

Step-by-step explanation:

a=height=6

b=length=4

using pythagorean theorem

a^2+b^2=c^2

36+16=c^2

c=\(\sqrt{36+16}\)

c=\(\sqrt{52}\)

Answer:

c(x)

Step-by-step explanation:

c(x) increases by 10 every time

a(x) is multiplied by 2

b(x) is multiplied by 4

The volume of the triangular prism is 1620 cm³.

To find the volume of a triangular prism, we can use the formula:

Volume = (Area of base) * Height

Given that the base of the triangular prism has a length (B) of 18 cm and a height (h) of 6 cm, we can calculate the area of the base using the formula for the area of a triangle:

Area of base = (1/2) * base * height

Substituting the values into the formula:

Area of base = (1/2) * 18 cm * 6 cm

Area of base = 54 cm²

Now, we can find the volume of the triangular prism using the formula:

Volume = Area of base * Height

Substituting the values into the formula:

Volume = 54 cm² * 30 cm

Volume = 1620 cm³

Therefore, the volume of the triangular prism is 1620 cm³.

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Answer:

x > - 3

Step-by-step explanation:

6(x + 2) > x - 3 ← distribute parenthesis on left side

6x + 12 > x - 3 ( subtract x from both sides )

5x + 12 > - 3 ( subtract 12 from both sides )

5x > - 15 ( divide both sides by 5 )

x > - 3

\(\textbf{Heya !}\)

✏\(\bigstar\textsf{Given:-}\)✏

✏\(\bigstar\textsf{To\quad find:-}\) ✏

✏\(\bigstar\textsf{Solution \quad Steps:-}\) ✏

use the distributive property

\(\sf{\longmapsto 6x+12 < x-3}\)

subtract both sides by x and 12

\(\sf{\longmapsto{5x < -15}\)

divide both sides by 5

\(\sf{\longmapsto x < -3}}\)

`hope it's helpful to u ~

Answer:

7+8=15 that's the total

7\15 or 8\15

Answer: that is it’s simplest form

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = a(x - h)² + k    - vertex form of  the equation of the parabola with vertex (h, k)

So  the equation of the parabola with vertex (3, -20):

y = a(x - 3)² + (-20)

y = a(x - 3)² - 20

The parabola passes through point (7, 12) so if x=7 then y=12

12 = a(7 - 3)² + (-20)

12 +20 = a(4)² - 20 +20

32 = 16a

a = 2

Therefore the equation of the parabola with vertex (3, -20) and that passes through point (7, 12):

                   y = 2(x - 3)² - 20

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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Answer

b

Step-by-step explanationit

ok i know u meant writ a diffrent thing trust me  

Answer:

t = 60/n

Step-by-step explanation:

The original equation we know is y = k/n

Since 12 people can assemble the set in 5 hours, when y is 5, n will be 12.

We can now input that value into the equation.

--> 5 = k/12

--> 5(12) = k/12 (12)

--> 60 = k

--> k = 60

The equation to represent the situation can be written as:

t = 60/n

and that is our final answer!

12 people can assemble in 5hours

So

Equation

Or

Answer: 26% and 26/100

Step-by-step explanation:

Use 0.26 as a fraction; 26/100, and use that 26/100 to convert it as a percentage using 26% out of 100% giving you 26%

Answer:

Step-by-step explanation:

Answer:

O_O

Step-by-step explanation:

e

Answer:

a = 1/3, a = 1/5

Step-by-step explanation:

15a^2 - 8a - 3 = -4

15a^2 - 8a + 1 = 0

Note: There should be a plus or minus sign (±) after the eight in the equation below, but I couldn't figure out how to put it into the fraction.

\(a = \frac{8 + \sqrt{(-8)^{2} - 4(15)(1)}}{2(15)}\)

\(a = \frac{8 + \sqrt{64 - 60}}{30}\)

\(a = \frac{8 + \sqrt{4}}{30}\)

\(a = \frac{8 + 2}{30}\) , \(a = \frac{8 - 2}{30}\)

\(a = \frac{10}{30}\) , \(a = \frac{6}{30}\)

\(a=\frac{1}{3}, a=\frac{1}{5}\)