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Jimena tiene 8 años de edad.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Sean , , las edades de Jimena, su padre y su madre. A continuación, traducimos cada oración relevante del enunciado a expresiones matemáticas:

(i) Si su papá tiene 27 años más que Jimena:

y = x+27 (1)

(ii) Su mamá tiene 34 años:

x = 34 (2)

(iii) La suma de las tres edades es igual a la diferencia de 10 veces la edad de Jimena, menos 3 años:

x+y+z = x-3 * 10 (3)

Al aplicar (1) y (2) en (3), tenemos la siguiente ecuación resultante:

x = 8

Jimena tiene 8 años de edad.

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the unit rate for cranberries is $3 per pound.

How did we get?

The unit rate for raisins is the cost per pound. Since the cost for x pounds of raisins is y=2.5x, the unit rate for raisins is:

$$\frac{y}{x}=\frac{2.5x}{x}=2.5$$

Therefore, the unit rate for raisins is $2.5 per pound.

The unit rate for cranberries is also the cost per pound. Since the cost for 4 pounds of dried cranberries is $12, the unit rate for cranberries is:

$$\frac{\text{cost}}{\text{quantity}}=\frac{12}{4}=3$$

Therefore, the unit rate for cranberries is $3 per pound.

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The expected temperature in Peoria Illionis on february 15 is 22.028≈22 degrees farenheit.

A measure of the temperature at high elevations in the Earth's atmosphere is called the atmospheric temperature. Many factors, such as incoming solar radiation, humidity, and altitude, affect it.

The average daily temperature in Peoria Illionis can be predicted by given formula ,

[tex]T=50-28cos[\frac{2\pi (x-31)}{365} ][/tex]

where , x is the number of day in year.

February 15 is (31+15)th day of the year

therefore, February 15 1s 46th day of the year.

now in the given formula,

[tex]T=50-28cos[\frac{2\pi (x-31)}{365} ]\\\\T=50-28cos[\frac{2\pi (46-31)}{365} ]\\\\T=50-28cos[\frac{2\pi (15)}{365} ]\\\\T=50-28cos[\frac{30\pi}{365} ]\\\\T=50-28cos[0.258]\\\\T=50-28(0.999)\\\\T=50-27.972\\\\T=22.028[/tex]

So , the expected temperature on february 15 is 22.028≈22 degrees farenheit.

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Answer:

56%

Step-by-step explanation:

The probability of snow on Tuesday is 20%, which means the probability of no snow on Tuesday is 100% - 20% = 80%.

Similarly, the probability of snow on Wednesday is 30%, which means the probability of no snow on Wednesday is 100% - 30% = 70%.

The probability that it will not snow on either day is the product of the probabilities of no snow on Tuesday and no snow on Wednesday:

(80%)(70%) = 56%

So the probability that it will not snow on either day is 56%.

We need 124 grams of Na2O to produce 160 grams of NaOH

A balanced chemical equation is an equation where the number of atoms of each type in the reaction is the same on both reactants and product sides.

Let us first convert 160 grams of NaOH to moles using its molar mass. The molar mass of NaOH is:

Na = 22.99 g/mol

O = 15.99 g/mol

H = 1.01 g/mol

Molar mass of NaOH = 22.99 + 15.99 + 1.01 = 40.00 g/mol

Number of moles of NaOH = mass / molar mass = 160 g / 40.00 g/mol = 4.00 mol

Since the reaction requires 2 moles of NaOH for every 1 mole of Na2O, we need half as many moles of Na2O as NaOH.

Therefore, we need: 1/2 x 4.00 mol = 2.00 mol of Na2O

Finally, we can convert moles of Na2O to grams using its molar mass:

Na = 22.99 g/mol

O = 15.99 g/mol

Molar mass of Na2O = 22.99 + 2(15.99) = 61.98 g/mol

Mass of Na2O = number of moles x molar mass = 2.00 mol x 61.98 g/mol = 123.96 g

Therefore, we need 124 grams of Na2O to produce 160 grams of NaOH

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As x approaches positive infinity, f(x) approaches negative infinity , Option C is the answer.

What is a Function ?

Function is a mathematical statement that links two variables m a dependent and an independent variable with each other.

It is given that

f(x) = - [tex]\sqrt{x+6}[/tex]

as x----- > ∞  y ---->- ∞

as x -----> - ∞ y----> imaginary axis

Therefore , As x approaches positive infinity, f(x) approaches negative infinity , Option C is the answer.

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The inverse of the given function could be; y = √x / 7 + 8

Suppose that the given function is [tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

This simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

We have been given the function as g(x)=7(x-8)² +3 for 8 ≤ x < ∝

Function that can reverse into another function is known as an inverse function or anti function to find y when x is swapped with another variable, we must first determine the inverse function.

On the other hand, the inverse function and the original function have interchangeable domains and ranges.

y = 7(x-8)²

(x-8)² = y/7

x - 8 = y / 7

x = √y / 7 + 8

Or

y = √x / 7 + 8

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In a data set, the number of elements will always be the same as the number of observations.

An observation is a single measurement or record of a particular variable or event. In a data set, observations are typically organized into rows, with each row representing a single observation.

The number of observations in a data set corresponds to the number of times the data was measured or recorded.

On the other hand, a data point can refer to a single value within a data set, or a combination of values if the data set contains multiple variables.

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Therefore , the solution of the given problem of probability comes out to be P(not same color) = 236/361.

Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any number range between 0 and 1, where 1 is frequently used to describe certainty and 0 is commonly used to denote possibility, can be used to represent chance. A probability diagram shows the likelihood that a particular event will occur.

Here,

There are three cases to consider:

Case 1: both marbles are red

Case 2: both marbles are yellow

Case 3: both marbles are blue

The probability of drawing two red marbles can be found by multiplying the probability of drawing a red marble on the first draw (5/19) by the probability of drawing a red marble on the second draw (5/19):

P(red and red) = (5/19) * (5/19) = 25/361

Similarly, the probability of drawing two yellow marbles is:

P(yellow and yellow) = (6/19) * (6/19) = 36/361

And the probability of drawing two blue marbles is:

P(blue and blue) = (8/19) * (8/19) = 64/361

So, the probability of drawing two marbles that are the same color is:

P(same color) = P(red and red) + P(yellow and yellow) + P(blue and blue)

P(same color) = (25/361) + (36/361) + (64/361)

P(same color) = 125/361

d. If two marbles are drawn, what's the chance they are NOT the same color?

There are three cases to consider:

Case 1: one marble is red and one marble is yellow

Case 2: one marble is red and one marble is blue

Case 3: one marble is yellow and one marble is blue

The probability of drawing one red marble and one yellow marble can be found by multiplying the probability of drawing a red marble on the first draw (5/19) by the probability of drawing a yellow marble on the second draw (6/19), and then multiplying by 2 (since the order of the marbles doesn't matter):

P(red and yellow) = 2 * (5/19) * (6/19) = 60/361

Similarly, the probability of drawing one red marble and one blue marble is:

P(red and blue) = 2 * (5/19) * (8/19) = 80/361

And the probability of drawing one yellow marble and one blue marble is:

P(yellow and blue) = 2 * (6/19) * (8/19) = 96/361

So, the probability of drawing two marbles that are not the same color is:

P(not same color) = P(red and yellow) + P(red and blue) + P(yellow and blue)

P(not same color) = (60/361) + (80/361) + (96/361)

P(not same color) = 236/361

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The dimensions square must be cut if the volume of the box is to be 189 cubic inches is  9 * 7 * 3.

The mathematical concept of volume represents the amount of three-dimensional space that an object or closed surface takes up. Volume is measured in cubic units like m³, cm³, in³, etc.

The dimension of the box will be:

= L * W* H

=(15-2x)*(13-2x)*x

The volume:

x(15-2x)*(13-2x) = 189

x(195 - 56x + 4x²) = 189

4x³ - 56x² + 195x - 189 = 0

Hopefully it's an integer, we know it's a low value

Try x=3 using synthetic division

we get ,  3 as the solution or or root of the equation.

Check x = 3, the side of the cut out squares

(15-6)(13-6)  3 = 189

9 * 7 * 3 = 189 cu/in

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The value of  7/10 as a decimal is  0.7.

To convert 7/10 to a decimal, we need to divide the numerator (7) by the denominator (10). This can be done by long division or using a calculator.

When we divide 7 by 10, we get 0.7. Therefore, 7/10 as a decimal is 0.7.

In decimal form, 0.7 can be interpreted as 7 tenths, or 70 hundredths, or 700 thousandths, etc. It is a way of expressing a fraction as a decimal, which is a more convenient and commonly used way of writing numbers.

It's worth noting that 7/10 can also be written as a percentage, which would be 70%. This means that 7 out of 10 is equivalent to 70 out of 100, which is the same as 0.7 in decimal form.

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Answer: I’m pretty sure it’s c

Step-by-step explanation:

For someone earning $75,000 per year working 24 hours daily, their equivalent hourly wage would be approximately $8.56 per hour.

If someone worked 24 hours a day, every day of the year, they would work a total of 8,760 hours in a year. To calculate the hourly wage of someone earning $75,000 per year working 24 hours daily, you can divide the yearly salary by the total number of hours worked in a year.

Dividing $75,000 by 8,760 hours gives an hourly wage of approximately $8.56. This means that if someone earned $75,000 per year while working 24 hours a day, they would be earning an equivalent of approximately $8.56 per hour.

Additionally, laws and regulations related to working hours vary by country and industry, and many limit the maximum number of working hours per day or week.

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Answer:

The zeros of the polynomial are -3 and 2

Step-by-step explanation:

The zeros are where the polynomial crosses the x-axis

We know that the given expression 6x - x - 4 is (2) this is not equivalent to 7x − 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

So, the given expressions are:

7x - 4 and 6x - 4 - x

Now,

7x - 4 and 6x - x - 4

7x - 4 and 5x- 4

Then, we can easily say that the given expressions are not equivalent.

Therefore, we know that the given expression 6x - x - 4 is (2) this is not equivalent to 7x − 4.

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Complete questions:
Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent. Sample Response: 6x − x = 5x.

1. The new expression is now 5x − 4.

2. This is not equivalent to 7x − 4.

The conversion of 70°F is equal to 21.1°C.

A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).

Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.

To convert 70°F (degrees Fahrenheit) to Celsius (°C), you can use the following formula:

°C = (°F - 32) / 1.8

Substituting 70°F for °F in the formula, we get:

°C = (70 - 32) / 1.8

Simplifying the calculation, we get:

°C = 38 / 1.8

°C ≈ 21.1

Therefore, the conversion of 70°F is nearly equal to 21.1°C.

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18.42 years will it take to exhaust her annuity, i.e., run the account down to zero

Given the following information,

PV = $610,000

i = 6.5%

PMT = $40,000/year

The number of years for Ruth to exhaust all her funds from the account is 18.42

Using the financial calculator, we can easily find the value of n equals to 18.42 years in which the account finishes to zero.

n = 18.42 years

An annuity is a contract between you and an insurance company that requires the insurer to make payments to you, either incontinently or in the future. You buy an subvention by making either a single payment or a series of payments.

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Each angle in a regular polygon with 5 sides measures 108 degrees.

A polygon is a closed shape with straight sides. A regular polygon is a polygon where all sides are of equal length and all angles are of equal measure.

To find the measure of each angle in a regular pentagon, we can use the formula:

angle measure = (n-2) x 180 / n

where n is the number of sides.

Substituting n=5 into the formula gives:

angle measure = (5-2) x 180 / 5

Subtract the terms

= 3 x 180 / 5

= 540 / 5

Divide the numbers

= 108 degrees

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The number 19 have only two factors. They are 1 and 19. So it is a prime number. The statement is true.

Prime numbers are the numbers having only two factors, 1 and the number itself. There are some conditions that should be satisfied if they are counted as prime numbers.

It must be greater than 1.

It must be a natural number, not a decimal fraction or negative number.

It must have only two factors.

It must not be a product of any two numbers other than 1 and the number.

So a number which is not divisible by any other number than 1, can be called a prime number. All other numbers are composite numbers.

So 19 is not divisible by any other numbers. So it is a prime number.

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Using the exponential function[tex]A(t) = 234(2.55)^t-[/tex]

There were approximately 1522 public electric charging units available in 2007.

There were approximately 9894 public electric charging units available in 2009.

There were approximately 25230 public electric charging units available in 2010.

The formula for an exponential function is [tex]f(x) = a^x,[/tex]where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The exponential function is [tex]A(t) = 234(2.55)^t.[/tex]

Use the formula [tex]A(t) = 234(2.55)^t[/tex] to find the number of public electric charging units available for hybrid vehicles in a given year.

To find the number of outlets available in 2007, substitute t = 2 (since 2007 is two years after 2005) into the formula -

[tex]A(2) = 234(2.55)^2[/tex]

A(2) = 234(6.5025)

A(2) ≈ 1521.59

Therefore, the number of electric vehicles is 1522.

To find the number of outlets available in 2009, substitute t = 4 (since 2009 is four years after 2005) into the formula -

[tex]A(4) = 234(2.55)^4[/tex]

A(4) = 234(42.2825062)

A(4) ≈ 9894.10

Therefore, the number of electric vehicles is 9894.

To find the number of outlets available in 2010, substitute t = 5 (since 2010 is five years after 2005) into the formula -

[tex]A(5) = 234(2.55)^5[/tex]

A(5) = 234(107.820391)

A(5) ≈ 25229.97

Therefore, the number of electric vehicles is 25230.

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Answer: Malcolm can read 25 pages in 1 hour if he maintains the same reading speed.

Step-by-step explanation:

First, let's calculate how many pages Malcolm can read in 1 minute:

5 pages / 12 minutes = 0.4167 pages per minute (rounded to four decimal places)

To find out how many pages Malcolm can read in 1 hour, we need to multiply the number of pages he can read in 1 minute by the number of minutes in an hour:

0.4167 pages per minute * 60 minutes per hour = 25 pages per hour (rounded to the nearest whole number)

Therefore, Malcolm can read 25 pages in 1 hour if he maintains the same reading speed.

Option A. 57. Roman numerals use letters from the Latin alphabet to represent numbers. The Roman numeral LVII represents the number 57.

The basic symbols used in the Roman numeral system are I, V, X, L, C, D, and M, which represent the numbers 1, 5, 10, 50, 100, 500, and 1,000, respectively. By combining these symbols, larger numbers can be formed.

In the case of LVII, the symbol L represents 50, the symbol V represents 5, and the symbol II represents 2. To get the total value of the Roman numeral, we add up the values represented by each symbol. So:

LVII = L + V + II

= 50 + 5 + 2

= 57

Therefore, the Roman numeral LVII represents the number 57.

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What number does the roman numeral LVII represent?

A. 57

B. 58

C. 59

D. 60

Answer:

2.6

Step-by-step explanation:

I think the formula is 6x=14

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

What is an angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

There is an angle of elevation from point R to S. Thus point R is lie above S.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

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The result of multiplcation of two numbers, 2×-3 where one is positive and other negative is equals to the negative six, -6.

Along with addition, subtraction and division, multiplication is one of the four basic arithmetic operations. In mathematics, multiplication means the repeated addition of groups of the same size. As we can see, 3+3 is the same as 2×3. When we multiply two numbers, the answer is called the product. The number of objects in each group is called the multiplicand, and the number of such equal groups is called the multiplier. In our case, 3 is the multiplier, 2 is the multiplier, and 6 is the product. Also, the product of 2× x , where x is any integer, is known as two times of x. We need to calculate the value for 2 times -3. Thus,

2 times -3 = 2×(-3)

Using the multiplicative rule (-)×(+) = - , so the result is -6. So the required value is -6. Hence, required value is -6.

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Answer: -5

h(0) = -5(0) - 5

h(0) = -5

Answer:

x=-5, you have to rearrange the x and 12 and then subtract 12 from both sides and you get the answer -5. x+12=7

the answer is somewhere here

Answer:

Step-by-step explanation:

10^3 is equal to 1,000.

To fill in the blanks with two numbers that multiply to 1,000, we need to factorize 1,000. One way to do this is to divide by 2 repeatedly until we get an odd number:

1,000 ÷ 2 = 500

500 ÷ 2 = 250

250 ÷ 2 = 125

So the prime factorization of 1,000 is:

1,000 = 2^3 × 5^3

Therefore, we can fill in the blanks as follows:

10^3 = 2^3 × 5^3

The congruency statement TS ≅ HG is true. So the required statement is option c.

According to the congruency theorem, two triangles are considered congruent when they have identical sides and they have the same size angles. This can be proved by conditions such as side-angle-side (SAS), side-side-side (SSS), angle-side-ange (ASA), and right angle-hypotenuse-one another side (RHS). Their orientation need not have to be the same also.

Even though the triangle is rotated, the corresponding part of ΔGHJ and ΔSTR are congruent. So the sides ST = GH, RT= HJ, and SR= GJ. And the angles ∠S= ∠G, ∠T=∠H, and ∠R=∠J. From the given, options, option TS ≅ HG is correct.

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The complete question is -

Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?

A. TR ≅ GJ

B. ∠S ≅ ∠H

C. TS ≅ HG

D. ∠R ≅ ∠G

La ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x. Y el precio en euros de 10 dólares es de 12 €.

La ecuación de la recta que nos da el precio en euros, y, de x dólares se puede hallar utilizando la fórmula de la pendiente de una recta, que es m = (y2 - y1) / (x2 - x1). En este caso, los puntos dados son (3, 3.6) y (7, 8.4).

Primero, calculamos la pendiente de la recta:
m = (8.4 - 3.6) / (7 - 3)

m = 4.8 / 4

m = 1.2

Luego, utilizamos la fórmula de la ecuación de la recta, y = mx + b, para encontrar el valor de b. Podemos utilizar cualquiera de los puntos dados para esto. Usaremos el punto (3, 3.6).

3.6 = 1.2(3) + b
3.6 = 3.6 + b
b = 0

Por lo tanto, la ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x.

Esta ecuación nos da el precio en euros, y, de x dólares. Si queremos encontrar el precio en euros de una cierta cantidad de dólares, simplemente sustituimos el valor de x en la ecuación y resolvemos para y. Por ejemplo, si queremos encontrar el precio en euros de 10 dólares, sustituimos x = 10 en la ecuación:

y = 1.2(10) = 12

Por lo tanto, el precio en euros de 10 dólares es de 12 €.

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