In tropical regions, mosquito populations tend to fluctuate periodically over the course of a
year. Suppose the mosquito population in a tropical region can be modeled by the function
A (t) = 80 cos ( t) +130, where A(t) represents the mosquito population (in thousands) t
weeks after the beginning of the year.
26
Approximately how many weeks after the beginning of the year does the mosquito
population equal 200 thousand? If the mosquito population equals 200 thousand more than
once during the year, select each instance.
1 week
4 weeks
6 weeks
22 weeks
30 weeks
48 weeks

If the height of a regular tetrahedron is 20 inches,  the length of each edge of the tetrahedron is  10√2 inches. This can be found by using the Pythagorean theorem.

This can be found by using the Pythagorean theorem. The Pythagorean theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side. In this case, the hypotenuse of the right triangle is the height of the tetrahedron or 20 inches. The other two sides of the triangle, the base and the height of the triangle, will be equal since the triangle is equilateral, so each side is 10 inches.

The Pythagorean theorem can then be applied as follows: 10^2 + 10^2 = 20^2, or 100 + 100 = 400. This simplifies to 200 = 400, so the length of each side of the triangle is 10√2 inches.   For a more visual explanation of this, imagine the height of the tetrahedron is a diagonal line going down the center of the triangle, dividing it into two equal right triangles. Since the triangle is equilateral, the base of each triangle will be 10 inches, and the height of the triangle will also be 10 inches.

This creates the right triangle that the Pythagorean theorem can be applied. The Pythagorean theorem will then tell us that the hypotenuse of the triangle is 10√2 inches. Since the hypotenuse of the right triangle equals the height of the tetrahedron, the length of each edge of the tetrahedron is 10√2 inches.

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The maximum number of adult-sized T-shirts she can purchase is 55 T-shirts.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Adult sized T shirts cost $6.25 each

and, youth sized T shirts cost $4.50 each.

Let x represent the number of adult-sized T-shirts.

Antionette has $550 to purchase both adult sized and youth sized T shirts.

So, the inequality can be

6.25x + 4.5(45) ≤ 550

6.25x + 202.5 ≤ 550

6.25x ≤ 347.5

x ≤ 55.6

Hence, the maximum number of adult-sized T-shirts she can purchase is 55 T-shirts.

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Sample Statistic. The value 3.29 represents the sample statistic, as it is the average GPA of the students enrolled in the accounting class, which is a sample of the population.

The value 3.29 represents the sample statistic, as it is the average GPA of the students enrolled in the accounting class. The population in this case is all students enrolled in the accounting class, meaning that the sample statistic is a representation of the population parameter. The sample statistic is the average GPA of the students in the accounting class, which is a subset of the population. The population parameter, on the other hand, is the average GPA of all students enrolled in the accounting class. The sample statistic is an estimate of the population parameter, but it is not the exact value of the population parameter. Therefore, the value 3.29 represents the sample statistic, and not the population parameter.

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The required value of k the following pair of equations has no solution is k = 2.

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

3x + y -1 = 0

(2k -1)x + (k-1)y - 2k -1 = 0

A1/A2 = 3(2k -1); B1/B2 = 1/(k-1); and C1/C2 = -1/(-2k -1) = 1/(2k +1).

as there are none

A1 = B1 + B2 = C1 + C2

3/(2k-1) = 1/(k -1) ≠ 1/(2k +1)

3/(2k –1) = 1/(k -1) (k -1)

3k -3 = 2k -1

k =2

The above pair of linear equations will therefore not have a solution for k = 2.

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Complete question:

For which value of k will the following pair of linear equations have no solution?

3x + y = 1

(2k – 1) x + (k – 1) y = 2k + 1

Answer: The smallest number that can be divided by 90, 80 and 72 without a remainder is 720.

Step-by-step explanation:

To find the smallest number that can be divided by 90, 80, and 72 without a remainder, you can find the least common multiple (LCM) of 90, 80, and 72. The LCM is the smallest positive number that is a multiple of all the given numbers.

One way to find the LCM is to list out the multiples of each number and then find the smallest one that is common to all.

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170...

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120...

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008...

As you can see 720 is the smallest common multiple for all the numbers 90,80 and 72. Therefore, the smallest number that can be divided by 90, 80, and 72 without a remainder is 720.

The percentage of the coin are​ quarter would be 88%.

Since the denominator of percentages is 100, they are effectively fractions. percentage is a relative value that denotes hundredths of any amount. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified.

In addition to being stated as a decimal or a fraction, a percentage is a number that indicates how many out of 100 it is. Three for the price of one! Simply enter the % as the numerator and 100 as the denominator to convert the percentage to a fraction.

"Out of 100" is what "percentage" means. When describing parts of a whole in mathematics, percentages are employed along with fractions and decimals. The full is divided into one hundred equal portions for the purpose of computing percentages.

To determine, multiply the fraction 44/50 by 100 to convert it to a percentage.

(44/50) × 100 = 88%.

Therefore, the percentage of the coin are​ quarter would be 88%.

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The growth rate of [tex]r=100\left[\left(\frac{H(r)}{6240}\right)^{1 / t}-1\right][/tex] the number of households is increasing.

Compound growth is the average rate of growth that an investment experience over a number of years. When contemplating the investing landscape, one way to think about the compound growth rate is that it accounts for all the hills and valleys.

The % increase is simply divided by N, the number of years, to get the yearly percentage growth rate.

The number of households initially =P=6240

We have the value of Time period = t=3 years

As after three years the total number of households becomes =A=7800

Now

[tex]$$\begin{aligned}7800 & =6240\left(1+\frac{r}{100}\right)^8 \\\frac{7800}{6240} & =\left(1+\frac{r}{100}\right)^3 \\\left(1+\frac{r}{100}\right) & =\sqrt[3]{\frac{7800}{6240}}=1.0772 \\\frac{r}{100} & =1.0772-1=0.0772 \\\end{aligned}$$[/tex]

r =7.72% per year

Further solving we can write it as:

[tex]$$\begin{aligned}& H(r)=6240\left(1+\frac{r}{100}\right)^t \\& \left(\frac{H(r)}{6240}\right)^{1 / t}=\left(1+\frac{r}{100}\right) \\& \left(\frac{H(r)}{6240}\right)^{1 / t}-1=\frac{r}{100} \\& r=100\left[\left(\frac{H(r)}{6240}\right)^{1 / t}-1\right]\end{aligned}$$[/tex]

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The required expression gives the rate of change will be d'(5) at which the depth is changing at 5 minutes.

Let d(t) represent the depth of the rain puddle at any time t,

⇒ d(t)  ....(i)

The depth is changing with respect to time, which is given in the question

Differentiate equation (i) with respect to t and we get

⇒δd(t)/δt = d'(t) ....(ii)

This is the rate of change in depth unit time:

As per the question, the depth is changing at 5 minutes

Substitute the value of t=5 in equation (ii), and we get

⇒ d'(5)

Therefore, the required expression gives the rate of change will be d'(5).

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According to the approximate volume formula, a sphere with a 2 foot radius has a volume of 33.51032ft3 in cubic feet.

Its volume is the area that is enclosed by an object's boundaries in three dimensions. The quantity of three-dimensional space occupied by an object is measured by its volume, which is measured in cubic units. An example of a cubic unit is the cm3 or in3. However, a substance's mass can be used to measure how much matter it contains. It's usual practice to calculate an object's mass using its weight (in pounds or kilograms). In contrast to the basic equation for the area of a rectangular form, which is length, breadth, and height, the basic equation for volume is length, width, and height.

given

V=4/3πr^3

=4/3·π·2^3

≈33.51032ft³

According to the approximate volume formula, a sphere with a 2 foot radius has a volume of 33.51032ft3 in cubic feet.

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Answer:

$280

Step-by-step explanation:

30% of 400=120, 400-120=280

Describe to a child the analogy between owing money when you have none at all and a negative number. It is not zero, though. As a result, when the numeral is larger, the value is lower or less.

A negative number is one that always has a value lower than zero and is denoted by the minus (-) symbol.

Negative numbers are shown to the left of zero on a number line.

Negative numbers include -6 and -15 as examples.

A negative number in mathematics represents the reverse.

A negative number is one that is less than zero in the real number system.

Negative numbers are frequently used to indicate how great a loss or a shortage is.

One could consider an unpaid debt to be a negative asset.

To a child describe how a negative number is equivalent to owing money when you have none at all.

It is not equal to zero.

Therefore, the value is smaller or less when the numeral is larger.

Therefore, describe to a child the analogy between owing money when you have none at all and a negative number. It is not zero, though. As a result, when the numeral is larger, the value is lower or less.

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None of the equation is true from the given equations.

What is true equation?

Verify your math to ensure that the values on either side of the equals sign are the same in order to create a true equation. To create a true equation, make sure the numbers on both sides of the "=" sign are equal.

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

  9 + 9 = 4 + 16

      18 = 20

This is not a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

     19 - 10 = 657 - 9

             9 = 648

This is not a true equation.

Hence, none of the equation is true from the given equations.

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The polynomial p with 4 zeros at -4, -2/3, 0 and 9 is,

⇒ p (x) = x⁴ - 13/3x³ - 118/3x² - 24x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The polynomial p is a function of x with 4 zeros are -4, -2/3, 0 and 9.

Now, We can formulate;

The polynomial is,

⇒ p (x) = (x - (-4)) (x - (-2/3)) (x - 0) (x - 9)

⇒ p (x) = (x + 4) (x + 2/3) (x) (x - 9)

⇒ p (x) = x (x + 4) (x - 9) (x + 2/3)

⇒ p (x) = x (x² - 9x + 4x - 36) (x + 2/3)

⇒ p (x) = x (x² - 5x - 36) (x + 2/3)

⇒ p (x) = x (x³ + 2/3x² - 5x² - 10/3x - 36x - 24)

⇒ p (x) = x (x³ - 13/3x² - 118/3x - 24)

⇒ p (x) = x⁴ - 13/3x³ - 118/3x² - 24x

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The number 7 can be written as number name, ordinal form, roman numerals and square root form.

The natural number 7, which is a number, numeral, and digit, is the one that follows after 6 and before 8. The cube of a number, 2, is preceded by only one other prime odd number. Its only divisors, as it is a prime number, are 1 and 7. In a lot of western nations, this number is seen as lucky.

The number 7 can be written in a variety of ways, including:

(1) In number names: The number seven is written as 7.

(2) In ordinal form: The number 7 is written as seventh or seventh in ordinal form.

(3) Roman numerals: The sign Vll is used to represent the number 7 in roman numerals.

(4) In square root form: The number 7 is written as the square root of 49, i.e. √49, when expressed in terms of a number.

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The figure of a square with side length of 7 cm is shown in figure.

A square is a two dimension figure with 4 sides, 4 corners and 4 right angles. The all sides of the square are equal and parallel to each other.

We have to given that;

The side length of square = 7 cm

Now, We know that all sides of a square are equal.

Hence, The figure of a square with side length of 7 cm is shown in diagram.

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Answer:

  (c)  x = 6 and y = 1

Step-by-step explanation:

You want to know the values of x and y that make the set {2xy, x²-y², x²+y²} equal to the set {12, 35, 37}.

There are two clues that help you here:

The values of x and y are (x, y) = (6, 1).

The correlation coefficient, r, is a unitless measure and it is not affected by the units of measurement of the variables. Changing the units of measurement of one or both variables will not change the correlation coefficient.

If heart disease death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people, the correlation r between wine consumption and heart disease death rate would not change. The strength and direction of the linear link between two variables is measured by the correlation coefficient, or r.

The correlation coefficient is calculated by taking the covariance of the two variables and dividing it by the product of the standard deviations of the two variables. The covariance is a measure of how two variables vary together, and it is not affected by the units of measurement.

The standard deviation is also not affected by the units of measurement, as it is a measure of how much the data deviates from the mean.

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Answer:

48

Step-by-step explanation:

72/6 =12

12(4)=48

Answer:

61.04 degrees

Step-by-step explanation:- To find the angle we must use the sine function which is sin∅ = opp/hyp so sin ∅ = 175/200 = 61.04°

Hope this helps :)

Dividend ÷ Divisor = Quotient and Remainder

When a dividend is divided by a divisor, we get the value of the quotient in the result.

The result of dividing one integer by another is the quotient. For example, in 8 ÷4 = 2, the division result is 2, hence the quotient is 2. The dividend is eight, while the divisor is four.

The derivative of a quotient is the denominator times the numerator's derivative minus the numerator times the denominator's derivative, all divided by the denominator's square, according to the Quotient Rule.

When dividing one exponential equation by another, we use this rule. We must subtract the exponent in the denominator from the exponent in the numerator using the quotient formula, but the bases must be the same.

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If the ordered pair is located on the graph of the linear equation, then it is a solution to the equation.

If you are looking at the graph of a linear equation, you can determine whether an ordered pair is a solution by seeing if the point representing the ordered pair is on the line of the equation. If the point is on the line, then the ordered pair is a solution to the equation. If the point is not on the line, then it is not a solution to the equation. The line of the equation will pass through all of the points that are solutions to the equation and all other points will not be on the line. This means that if you have an ordered pair and you want to know if it is a solution, you can look at the graph and see if it is on the line. If it is on the line, then it is a solution.

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In mathematics, a vertical line is a line that goes straight up and down, parallel to the y-axis of a coordinate plane. It is represented by the equation x = a, where a is a constant value.

In a coordinate plane, the x-axis runs horizontally and the y-axis runs vertically. A vertical line is parallel to the y-axis and therefore has a constant x-coordinate value. This is why a vertical line can be represented by an equation of the form x = a, where a is a constant value. The value of 'a' is the x-coordinate of all the points on the line. The y-coordinate can have any value.

Vertical lines are relatively simple to work with and can be applied in a variety of mathematical and real-world contexts. For example, in geometry, a vertical line can be used to define the height of a building or the width of a doorway. In algebra, a vertical line can be used to graph the equation of a function and to identify the domain and range of the function. In statistics, a vertical line can be used to represent a significant value on a graph, such as the mean or median of a set of data. It can also be used in physics to represent the position of an object in motion. Overall, vertical lines are a simple yet powerful tool that can be used in a wide range of applications.

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Answer:75

Step-by-step explanation:The complementary angle of 15° is 75°. To find the complement of an angle, say ' x ', use the formula below: So, the complementary angle of 15° = 90 - 15 = 75°. Important: the angle unit is set to degrees. You browser does not support "Canvas"

Answer:

the 4th one is the answer

Step-by-step explanation:

If there is a 20% chance that the company will lose $250000,  a 50% chance of a break even, a 30% chance of a $150000 profit, then (d) The expected value is -$5000 , so man should not make the investment​ .

the percent chance for the loss is : 20% chance that the company will lose $250000 ;

the percent chance that there is break even : 50% chance  ;

the percent chance for profit is : 30% chance of a $150000 profit ;

So , the expected value can be calculated as :

⇒ -(20% of 250000) + (30% of 150000) ;

⇒ -(0.2 × 250000) + (0.3×150000)  ;

⇒ -50000 + 45000 ;

⇒ -5000 .

The Expected value is in negative ,

Therefore , the Man should not make an investment .

The given question is incomplete , the complete question is

A man plans on making a large speculative investment in a new company. There is a 20% chance that the company will lose $250,000, a 50% chance of a break even, and a 30% chance of a $150,000 profit. Based ONLY on this information, what should the man do?

(a) The expected value is $5000, so the man should make the investment.

(b) The expected value is $45000, so the man should make the investment.

(c) The expected value is -$50000 , so the man should make the investment

(d) The expected value is -$5000  , so the man should not make the investment​

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The domain of the quadratic function is represented by all the numbers on the number line, which is the set of values for which the function is defined.

A function is a mathematical rule or procedure that takes an input, performs a specific operation, and produces an output. In programming, functions are blocks of code that are designed to perform specific tasks. They are used to break down complex problems into smaller, manageable parts, and to make code more organized, readable, and reusable. Functions can also be used to share code between multiple programs.

The best way to determine the domain of a quadratic function is to identify the range of values for which the function is defined. The domain of a quadratic function is typically composed of all real numbers, which can be represented by the set of all numbers on a number line. In the graph of the quadratic function, the set of points on the graph represents the range of values for which the function is defined. Therefore, the domain of the quadratic function is represented by all the numbers on the number line, which is the set of values for which the function is defined.

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Answer:

There is still no attachment.

Step-by-step explanation:

LOOK DOWN

Step-by-step explanation:

Locate two points on the line whose coordinates are integers.

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Count the rise and the run on the legs of the triangle.

Take the ratio of rise to run to find the slope. m=riserun.