. max tells you that 2 years ago he was 12 years older than he was when he was half his current age. how old is max?

Answer:

(4, 5)

Step-by-step explanation:

i hope this helps :)

Answer:

(4, 5)

Step-by-step explanation:

See attached image

Answer:

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park​

solution:

drawing scale is 5m : 1cm

1,600 m² =      5² m²      

   x                  1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x = 1600 m²

      5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

The area of a square park in the drawing is 64 cm².

A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.

The area of a square is equal to the squared of sides or the multiplication of two sides.

Given that the scale from a square park to a drawing of the park is 5 m to 1 cm.

The area of the actual park is 1,600 m²

To determine the area of the drawing of the park​

Since 5 meters to 1 centimeter is the scale from a square park to a drawing of the park.

So the drawing scale is 5m : 1cm

Let the area of the drawing of the park​ is A

Since the area of a square is equal to the squared of sides or the multiplication of two sides.

So 1600m²/A = 5²m² / 1² cm²    

Cross multiplication in the terms

⇒ 5² m² A = 1600 m²*cm²    

⇒ A = 1600m²*cm²/ 5² m²

⇒ A = 64 cm²

Hence, the area of a square park in the drawing is 64 cm²

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Two numbers that satisfy the conditions of having a sum of 20 and a product of 96 are 8 and 12. This can be answered by the quadratic equation.

Let's call the two numbers we're looking for "x" and "y". We know from the problem that:

x + y = 20

xy = 96

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y:

y = 20 - x

We can substitute this expression for y into the second equation:

x(20 - x) = 96

Expanding the left side, we get:

20x - x^2 = 96

Rearranging terms:

x^2 - 20x + 96 = 0

This is a quadratic equation that we can solve using the quadratic formula:

x = (20 ± sqrt(20^2 - 4(1)(96))) / (2(1))

x = (20 ± 4) / 2

So we have two possible solutions:

x = 12 or x = 8

If x = 12, then y = 8 (from the equation y = 20 - x). We can check that these values satisfy both conditions:

12 + 8 = 20

12 * 8 = 96

Therefore, the two numbers that satisfy the conditions are 8 and 12

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Factor the expression

3−2−52+5+6=0

Answer: d=2 YZ=16

Step-by-step explanation:

XZ=XY+YZ

5d+28=11d+9d-2

28=11d+9d-2-5d

28+2=15d

30=15d

2=d

YZ = 9d - 2 = 9. 2 0 2 = 18 - 2 = 16

The numerical length of YZ is 16 and d = 2.

We have a Line Segment XZ such that Y is between X and Z.

We have to determine the value of d and YZ

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

According to question, we have -

XY = 11d

YZ = 9d – 2

XZ = 5d + 28

Now -

XZ = XY + YZ

5d + 28 = 11d + 9d - 2

28 + 2 = 11d + 9d - 5d

15d = 30

d = 2

Therefore -

YZ = 9d - 2 = 9 x 2 - 2 = 16

Therefore -  YZ = 16 and d = 2

Hence, the numerical length of YZ is 16 and d = 2.

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Answer:

the answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

\( \huge {c}^{ \frac{1}{2} } + {c}^{ \frac{1}{3} } \\ \\ \huge = {64}^{ \frac{1}{2} } + {64}^{ \frac{1}{3} } \\(plug \: c = 64) \\ \\ \huge = { ({8}^{2}) }^{ \frac{1}{2} } + {( {4}^{3} )}^{ \frac{1}{3} } \\ \\ \huge = {8}^{2 \times \frac{1}{2} } + {4}^{3 \times \frac{1}{3} } \\ \\ \huge = 8 + 4 \\ \\ \huge = 12\)

The values a, b, and c in the quadratic equation \(-6x^2 = -9x + 7\) are:

a = -6, b = -9, c = 7.

To identify the values a, b, and c in a quadratic equation, we need to understand the standard form of a quadratic equation: \(ax^2 + bx + c = 0\). In this case, we have\(-6x^2 = -9x + 7\). By rearranging the equation to match the standard form, we get \(-6x^2 + 9x - 7 = 0\). Comparing the coefficients of \(x^2\), x, and the constant term, we can determine the values of a, b, and c.

In this equation, the coefficient of \(x^2\) is -6, which corresponds to the value of a. The coefficient of x is -9, representing the value of b. Lastly, the constant term is 7, indicating the value of c. Therefore, the values a, b, and c in the quadratic equation are a = -6, b = -9, and c = 7.

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Answer:

C

Step-by-step explanation:

took the test :)

Answer:

B

Step-by-step explanation:

Multiply each side of the equation by ax-2 and use FOIL to finish up the process.

Answer:

B

Step-by-step explanation:

Answer:

Answer is 18!

Step-by-step explanation:

hope this helps

The terms syllabic, melismatic, and neumatic are all related to the number of notes in relation to each syllable of a text. Syllabic means that each syllable of the text is sung to one note.

This is the simplest type of setting for text to music. In contrast, melismatic means that each syllable of the text is sung to many notes, creating a more intricate and ornamental melody. Neumatic is somewhere in between syllabic and melismatic, where each syllable is sung to a few notes, but not as many as in a melismatic setting.

Syllabic, melismatic, and neumatic all describe the relationship between the number of notes and each syllable of a text.

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The division is a process of splitting a specific amount into equal parts.

If for every 5 coins 12 points are earned, the number of points earned from the 35 coins in the first level is 84 points.

The division is a process of splitting a specific amount into equal parts. 

We have,

Number of points earned for every 5 coins = 12 points

Number of coins earned in the first level = 35 coins

The number of points earned in the first level:

5 coins = 12 points

Multiply both sides by 7.

7 x 5 coins = 7 x 12 points

35 coins = 84 points

Thus,

The number of points earned in the first level is 84 points.

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Answer:

Step-by-step explanation:

9 is 4a + 6b - 3c

10 is 2x(small 2) - 6 + 5x

11 is 5 - 2d

12 is - 3x

13 is - a - b

14 is 7c + 9d

15 is 4x(small 2) + 9x - 16

16 is 12y -14

17 is 2a(small 2) + 3ab

I hope I got them all correct. If I got any wrong, feel free to tell me so I can check my work. : )

The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

A function is a rule that relates two variables.

Let us check the x-intercept, y-intercept, and maximum value for each function.

1)y =-3Sin(x)

for x-intercept put y=0

0 = -3Sin(x)

Sin(x) =0

x=0

for y-intercept put x=0

y=-3Sin0

y=0

The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3

Similarly, for y = -3cos(x)

x-intercept =π/2

y-intercept = 3

Maximum value of function = lower limit  of the range of  3cos(x) i.e. 3

Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

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Answer:

B.    y = –3cos(x)

Step-by-step explanation:

Im extremely sure, have a great day

Answer:

l >= 60

Step-by-step explanation:

l greater than or equal to 60

Answer:

l ≥ 60

Step-by-step explanation:

This means the l is greater than or equal to 60. In conclusion, the lightbulb is greater than or equal to 60 watts.

Answer:

Step-by-step explanation:

The midpoint is just the average of the coordinates ie

mp=((x2+x1)/2, (y2+y1)/2) in this case

mp=((2-4)/2, (9+1)/2)

mp=(-1,5)

To find the equation of a line perpendicular to the given line and passing through the point (-1, 3), we need to determine the slope of the given line and then calculate the negative reciprocal to obtain the slope of the perpendicular line.

The given equation is 2x - y = 4. We can rewrite this equation in slope-intercept form (y = mx + b) by isolating y:

y = 2x - 4

From this form, we can see that the slope of the given line is 2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line. So, the slope of the perpendicular line will be -1/2.

Now, we can use the point-slope form (y - y₁ = m(x - x₁)) to find the equation of the perpendicular line. Substituting the values (-1, 3) and -1/2 for (x₁, y₁) and m, respectively, we have:

y - 3 = (-1/2)(x - (-1))

Simplifying:

y - 3 = (-1/2)(x + 1)

y - 3 = (-1/2)x - 1/2

Adding 3 to both sides:

y = (-1/2)x + 5/2

Thus, the equation of the line perpendicular to 2x - y = 4 and passing through the point (-1, 3) is y = (-1/2)x + 5/2.

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a. The entire collection of objects being studied is called the population.

b. A small subset from the set of all 2013 minivans is called a sample.

c. Consider the amount of sugar in breakfast cereals. This characteristic of breakfast cereal (objects) is called a variable.

a. Population: The population refers to the entire group or collection of objects, individuals, or units that are of interest in a study. It represents the complete set of items from which a sample is drawn. For example, if you are conducting a study on the heights of all adults in a particular country, the population would consist of every adult in that country.

b. Sample: A sample is a smaller subset or representative portion of the population. It is selected from the larger population with the intention of making inferences or generalizations about the population. Sampling is often done when studying an entire population is not feasible or practical. In the context of the example given, a sample of 2013 minivans could be randomly selected from the entire set of minivans produced in 2013.

c. Variable: A variable is a characteristic or attribute that can vary or take different values within a population or sample. In the given example of breakfast cereals, the amount of sugar is a variable. Variables can be quantitative, such as numerical measurements like weight or height, or qualitative, such as categories or labels like color or brand. In statistical analysis, variables are used to describe and analyze data, and they can be classified as independent variables (predictors) or dependent variables (outcomes).

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The first ordered pair is (850, 162.65), indicating that at a price of $162.65 per ounce, the daily demand of Virbog is 850 ounces. The second ordered pair is (1450, 132.05), indicating that at a price of $132.05 per ounce, the daily demand of Virbog is 1450 ounces.

These ordered pairs represent the relationship between the quantity demanded and the price per ounce of Virbog. It shows how the demand for Virbog changes with respect to its price.

The first ordered pair indicates that as the price per ounce increases to $162.65, the quantity demanded decreases to 850 ounces. The second ordered pair indicates that as the price per ounce decreases to $132.05, the quantity demanded increases to 1450 ounces. This information can be used to analyze the demand curve for Virbog and study its price elasticity.


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Answer:

ground. He found that the length was 4 feet 5 inches.

1 foot = 12 inches

4A 5 in.

What is the wheelbase of his bike in inches?

a. X can be an instrument for itself if relevant.
b. Exogenous variables don't affect instrument relevance.

a. The reasoning or statement is correct. X can serve as an instrumental variable for itself in certain cases. This occurs when X is endogenous (correlated with the error term in the regression equation) and there is a valid reason to believe that X affects the outcome variable but is not directly affected by other factors.

b. In the presence of exogenous variables (W's) in the model, the F-statistic described above, which tests whether all first-stage parameters are zero, is not used to determine the relevance of instruments. The concept of relevance of instruments is concerned with whether the instruments are correlated with the endogenous variable (X) in the first stage. Exogenous variables (W's) are not part of the relevance assessment because they are assumed to be unrelated to the endogenous variable. Therefore, the F-statistic used to test relevance would only consider the instruments (Z1, Z2, Z3, Z4) and their correlation with X, disregarding the presence of exogenous variables.

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Given statement solution is :- The correct statement describing the number of possible solutions to the system is:

D. The system may have no, 1, or infinite solutions.

Because when a quadratic function and a linear function are set equal to each other, the resulting system of equations may have no solution, one solution, or infinite solutions.

A Linear Equation is an equation of a line. A Quadratic Equation is the equation of a parabola. and has at least one variable squared (such as x2) And together they form a System. of a Linear and a Quadratic Equation.

A linear equation is a polynomial equation of the form y = mx + d, where m and d are constants, and a quadratic equation is a polynomial equation of the form y = ax2 + bx + c, where a, b, and c are constants.

The correct statement describing the number of possible solutions to the system is:

D. The system may have no, 1, or infinite solutions.

In general, when a quadratic function and a linear function are set equal to each other, the resulting system of equations may have no solution, one solution, or infinite solutions. The specific number of solutions depends on the nature of the quadratic and linear functions and their relationship.

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Polar Coordinates

Given a point in coordinates (r, θ), the equivalent point in cartesian coordinates (x, y) can be found as:

x = r cos θ

y = r sin θ

We are given the point:

Converting to cartesian coordinates:

The cartesian coordinates are:

Answer:

21.24%

Step-by-step explanation:

Speed=Distance/time

Rewriting equation time=distance/speed

75/18= 4.33

105/20=5.25

21.24% increase

Given:

\(h(1)=9\)

\(h(n)=h(n-1)\cdot (-3)\)

To find:

The explicit formula for h(n).

Solution:

We have,

\(h(n)=h(n-1)\cdot (-3)\)         ...(i)

It is the recursive formula of a geometric sequence. It is of the form

\(a(n)=a(n-1)\cdot r\)         ...(ii)

where r is the common ratio.

On comparing (i) and (ii), we get

\(r=-3\)

We have, \(h(1)=9\) so the first term of the geometric sequence is \(a=9\).

The explicit formula for a geometric sequence is:

\(h(n)=ar^{n-1}\)

Substitute a=9 and r=-3 to get the explicit formula for the given sequence.

\(h(n)=9(-3)^{n-1}\)

Therefore, the required explicit formula is \(h(n)=9(-3)^{n-1}\).

Answer:

300pi

Step-by-step explanation:

that is 3/4 of a circle with the radius of 20. Meaning that the area is 300pi

A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.

To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.

Here's how the distribution of the various sub-populations can be maintained in the final sample:

1. Determine the proportion of each subgroup in the population:

  - Asian: 500 / 2000 = 0.25 (25%)

  - Hispanic: 1000 / 2000 = 0.5 (50%)

  - Native American: 500 / 2000 = 0.25 (25%)

2. Calculate the number of samples to be chosen from each subgroup:

  - Asian: 0.25 * 200 = 50 samples

  - Hispanic: 0.5 * 200 = 100 samples

  - Native American: 0.25 * 200 = 50 samples

3. Randomly select the specified number of samples from each subgroup.

By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.

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