drew used these clues to describe a number he wrote.
One digit has a value of 7 x 100,000.
One digit has a value of 9 x 100
One digit has value of 8 x 0.01
Which could be the number Drew wrote?

Answer:

7

Step-by-step explanation:

Step-by-step explanation:

The sum of the given numbers is:

15 + 17 + x + 28 + 39 = 99 + x

To find the missing value, we can use the formula for the mean (average):

mean = (sum of numbers) / (number of numbers)

Substituting the given values:

23 = (15 + 17 + x + 28 + 39) / 5

Multiplying both sides by 5:

115 = 15 + 17 + x + 28 + 39

Simplifying:

x + 99 = 115

x = 16

Therefore, the missing value is 16.

Using Simple interest, savings account for her needed to deposit $1,842.82 each year.

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

t can also be computed using the annuity factor of 5% for 17 years to divide the total sum of $50,000.

The 529 plan, according to available data, is a tax-advantaged or tax-qualified savings plan designed to encourage individuals to save for future education costs of their relations or for themselves.

Data and Calculations:

N (number of intervals) = 17 years

Interest every year is equal to 5%.

Present Value = $0 PV

FV (Future Value) = $50,000 ($31,327.88 + $18,672.12)

Results: PMT = $1,842.82

Sum of all periodic payments = $31,327.88 ($1,842.82 x 17)

Total Interest = $18,672.12

Hence, in order to save $50,000 in 17 years at a 5% return for his granddaughter, the man who wanted to open a 529 college savings account for her needed to deposit $1,842.82 each year.

Hence the interest the bank will collect will be $117.53.

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Answer:

14.4 - proofs attached to answer

Step-by-step explanation:

proofs attached to answer

The value of probability that they have pulse rates with mean less than 78 beats per min would be; 0.5948

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Given that If 16 female are randomly selected the Mean is 75 beats per min And, Standard deviation is, 12.5

Hence, We get;

z = (78 - 75) / 12.5

z = 3/12.5

z = 0.24

Hence, The probability is, 0.5948

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The solution of the inequality is x > -4. In the interval notation is (-4,∞).

What is inequality?

In mathematics, inequalities specify the relationship between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equal. But various inequalities are used to compare the values, whether it is less than or greater than.

An inequality exists when two real numbers or algebraic expressions are connected by the symbols “>”, “<”, “≥”, “≤”.

The given inequality is:

6x + 8 > - 16

Subtract 8 from both sides:

6x + 8 - 8 > - 16 - 8

6x  > - 24

Divide both sides by 6:

x > -24/6

x > -3

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The domain is the set of all x-values greater than or equal to 1, and the range is the set of all y-values greater than or equal to -2.

A coordinate plane is a two-dimensional graph that is used to locate points in a given space. The two axes intersect at a point called the origin, which is located at the coordinates (0, 0). Points on the coordinate plane can be labeled using their x and y coordinates, which are written in the form (x, y).

The graph below shows a function in the coordinate plane, which is made up of a curved line that begins at the point (1, -2) and rises as it moves to the right. The domain of the function is all x-values, or inputs, which are greater than or equal to 1. The range of the function is all y-values, or outputs, which are greater than or equal to -2.

When determining the domain and range of a function, it is important to remember that the domain is the set of all possible inputs, while the range is the set of all possible outputs. In the case of the graph below, the domain is the set of all x-values greater than or equal to 1, and the range is the set of all y-values greater than or equal to -2.

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Answer:42

Step-by-step explanation:took the quiz

We have no control over our cravings, affection, passion, or avarice. Humans and plants have many characteristics. You eat human flesh because you are a plant. Our way of life is represented by the plant.

Whether by hunting or scavenging, an animal or plant that consumes meat gets its food and energy needs from animal tissues (primarily muscle, fat, and other soft tissues).

The majority of the member species of the order Carnivora are known by the technical term "carnivoran," although confusion is often caused by the resemblance between the name of the order and the name of the diet.

So, in the given situation as the grows and as the money grows, it demonstrates that we are all looking out for one another.

In some ways, we are all carnivorous plants.

We all commit murder.

We are powerless against our hunger, love, passion, and greed. Plants and humans are similar in many ways.

What we desire is to live, and to exist in this world. You are a plant that consumes human flesh.

The plant represents our way of life.

Therefore, we have no control over our cravings, affection, passion, or avarice. Humans and plants have many characteristics. You eat human flesh because you are a plant. Our way of life is represented by the plant.

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Complete question:

Carnivorous plants have some unique and amazing characteristics. What do these characteristics suggest about life and the world that we live in? In other words, what can carnivorous plants teach us about the world?? Make a point and support it with an example from the text. Explain what your support shows.

Answer:

Last choice

Step-by-step explanation:

the 'w-axis intercept' occurs when d = 0  ( puppy is just born day 0)

 and is equal to 4.25 ounces

For the given rectangle, the ordered pair that represents the location of point Z is (11,6).

What is a rectangle?

The internal angles of a rectangle, which has four sides, are all precisely 90 degrees. The two sides come together at a straight angle at each corner or vertex. The rectangle differs from a square because its two opposite sides are of equal length. Also, it is known as an equiangular quadrilateral. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel. A rectangle's diagonals cut each other in half. It has four right angles and is a parallelogram. The complete distance that the rectangle's outside boundary covers is referred to as its perimeter. The area a two-dimensional form occupies in a plane is known as its area. It has a square unit of measurement. As a result, the rectangle's area is the space enclosed by its exterior lines. It is the same as the length times the width calculation.

The rectangle should have opposite sides of equal length.

Here,

XY = WZ

XW = YZ

From the graph, we can write the coordinates as:

X = (7,11)

Y = (11,11)

W = (7,6)

Point Z should lie directly below Y so that it is in a straight vertical line.

Then it should have the same x coordinate as Y.

It should also lie in the same horizontal line that passes through W.

So it will have the same y coordinate as W.

Therefore for the given rectangle, the ordered pair that represents the location of point Z is (11,6).

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The area of the canvas is 8 1/8 square units.

The area of a canvas with dimensions of 2 1/2 x 3 1/4 can be calculated by multiplying the length by the breadth.

2 1/2 and 3 1/4 must first be converted into improper fractions:

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

3 1/4 = (3 x 4 + 1) / 4 = 13/4

The area may now be calculated by multiplying the two fractions:

(5/2) x (13/4) = (5 x 13) / (2 x 4) = 65/8

The canvas's surface area is 65/8 square units as a result. This can be expressed as a mixed number as well:

65/8 = 8 1/8

Hence, the canvas has an area of 8 1/8 square units.

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The cost of Shai's haircut is $25 and the cost of his shave is $30, so the subtotal before tax and tip is:

$25 + $30 = $55

The sales tax is 8.25%, so the tax amount is:

$55 * 0.0825 = $4.54

The total cost before tip is:

$55 + $4.54 = $59.54

If Shai tips 25% on the subtotal, the tip amount is:

$55 * 0.25 = $13.75

So the total cost including tax and tip is:

$59.54 + $13.75 = $73.29

Therefore, Shai must pay a total of $73.29 if he gets his hair cut and beard shaved and he tips the barber 25%. The answer is option (B).

Using the method of undetermined coefficients, the particular solution is:

[tex]\mathrm{y_p(t) = 6e^{2t} \times cos(9t) + 3^{2t} \times sin(9t)}[/tex]

To use the method of undetermined coefficients, we assume that the particular solution has the same form as the forcing term, but with undetermined coefficients.

Let's start by finding a particular solution for the equation:

y′′ − 4y′ + 81y = 48[tex]e^{2t}[/tex]cos(9t) + 80[tex]e^{2t}[/tex]sin(9t) + 3[tex]e^{(-t)[/tex]

Since the forcing term contains both exponential and trigonometric functions, we'll assume that the particular solution is of the form:

[tex]y_p[/tex](t) = A*[tex]e^{2t}[/tex]cos(9t) + B[tex]e^{2t}[/tex]*sin(9t) + C[tex]e^{(-t)[/tex]

where A, B, and C are undetermined coefficients that we need to determine.

Let's find the first and second derivatives of [tex]y_p[/tex](t):

[tex]y'_p[/tex](t) = (2A + 9B)*[tex]e^{2t}[/tex]*sin(9t) + (2B - 9A)*[tex]e^{2t}[/tex]*cos(9t) - C[tex]e^{(-t)[/tex]

[tex]y''_p[/tex](t) = (4A - 81B)*[tex]e^{2t}[/tex]*cos(9t) + (4B + 81A)*[tex]e^{2t}[/tex]*sin(9t) + C[tex]e^{(-t)[/tex])

Substituting these expressions into the differential equation, we get:

(4A - 81B)*[tex]e^{2t}[/tex]*cos(9t) + (4B + 81A)*[tex]e^{2t}[/tex]*sin(9t) + C[tex]e^{(-t)[/tex]

4[(2A + 9B)*[tex]e^{2t}[/tex]*sin(9t) + (2B - 9A)*[tex]e^{2t}[/tex]*cos(9t) - C[tex]e^{(-t)[/tex]

81[A*[tex]e^{2t}[/tex]cos(9t) + B[tex]e^{2t}[/tex]*sin(9t) + C[tex]e^{(-t)[/tex]]

= 48[tex]e^{2t}[/tex]cos(9t) + 80[tex]e^{2t}[/tex]sin(9t) + 3[tex]e^{(-t)[/tex]

Simplifying and grouping terms, we get:

[(4A + 18B)cos(9t) + (18A - 4B)sin(9t)][tex]e^{2t}[/tex]+ (81C + 3)[tex]e^{(-t)[/tex] = 48[tex]e^{2t}[/tex]cos(9t) + 80[tex]e^{2t}[/tex]sin(9t) + 3[tex]e^{(-t)[/tex]

Since the two sides of the equation must be equal for all values of t, we can equate the coefficients of the exponential and trigonometric functions on both sides:

4A + 18B = 48 => A = 6

18A - 4B = 80 => B = 3

81C + 3 = 3 => C = 0

Therefore, the particular solution is:

[tex]y_p[/tex](t) = 6[tex]e^{2t}[/tex]*cos(9t) + 3[tex]e^{2t}[/tex]*sin(9t)

Thus, the general solution of the differential equation is:

[tex]\mathrm{y(t) = y_h(t) + y_p(t)}[/tex]

where [tex]y_h[/tex](t) is the complementary solution. Since the characteristic equation of the differential equation is r² - 4r + 81 = 0, it has two complex conjugate roots: r = 2 ± 9i. Therefore, the complementary solution is:

[tex]y_h[/tex](t) = [tex]c_1[/tex]*[tex]e^{2t}[/tex]cos(9t) + [tex]c_2[/tex][tex]e^{2t}[/tex]*sin(9t).

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Part a: Compounded Semiannually: A = 20,771.75.

Part b: Compounded quarterly: A = 20817.66.

Part c: Compounded monthly: A = 20848.76

Part d: Compounded continuously :A = 407,538.49

Compound interest formula:

A = P[tex](1 + \frac{r}{n} )^{nt}[/tex]

And

A = P[tex]e^{rt}[/tex]

Principal P : $15,000

Time t = 6 years

Rate of interest r = 5.5%

number of time compounded - n

Part a: Compounded Semiannually:

r --> r/2

n = 2

A = 15,000[tex](1 + \frac{0.055}{2} )^{2*6}[/tex]

A = 20,771.75

Part b: Compounded quarterly:

r --> r/4

n = 4

A = 15,000[tex](1 + \frac{0.055}{4} )^{4*6}[/tex]

A = 20817.66

Part c: Compounded monthly:

r --> r/12

n = 12

A = 15,000[tex](1 + \frac{0.055}{12} )^{12*6}[/tex]

A = 20848.76

Part d: Compounded continuously

A = Pe∧(rt)

A = 15,000(2.72)∧(0.55*6)

A = 407,538.49

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Answer:

20 units

Step-by-step explanation:

six puls six plus four plus four is twenty

Answer: Let's use variables to represent the three digits of the number. We can use d1 for the first digit, d2 for the second digit, and d3 for the third digit. Based on the given information, we can write the following equations:

d1 > d2 + 4 (the first digit is greater than the second by 4)

d3 > d1 + 2 (the third digit is greater than the first by 2)

We also know that the three digits combine to form a three-digit number. We can write this number as:

100d1 + 10d2 + d3

To solve for the digits, we can use the information we have to write expressions for d1, d2, and d3 in terms of a single variable, and then use that to find the digits. Let's start with the first equation:

d1 > d2 + 4

Subtracting 4 from both sides, we get:

d1 - 4 > d2

Now we can substitute this expression for d2 in the second equation:

d3 > d1 + 2

d3 > (d1 - 4) + 2

d3 > d1 - 2

So we have the following inequalities:

d1 > d2 + 4

d3 > d1 - 2

We can use these to write expressions for d1, d2, and d3 in terms of a single variable, say x:

d1 = x + 4

d2 = x

d3 = x + 2 + 4 = x + 6

Now we can substitute these expressions into the equation for the three-digit number:

100d1 + 10d2 + d3 = 100(x+4) + 10x + (x+6) = 111x + 406

So the three-digit number can be written as 111x + 406. To find the digits, we need to choose a value of x that satisfies the inequalities we derived. Let's start with the first inequality:

d1 > d2 + 4

x + 4 > x + 4

x > 0

So x must be greater than 0. Now let's check the second inequality:

d3 > d1 - 2

x + 6 > x + 2

6 > 2

This inequality is always true, so we don't need to worry about it. Therefore, any value of x greater than 0 will satisfy the given conditions. For example, if we choose x = 1, then the digits are:

d1 = 5

d2 = 1

d3 = 7

And the three-digit number is:

100d1 + 10d2 + d3 = 500 + 10 + 7 = 517

So the number is 517.

Step-by-step explanation:

The volume of the box is a function of x, given by:[tex]V(x) = 4x^3 - 32x^2 + 64x[/tex]

What is volume ?

Volume is a physical quantity that measures the amount of three-dimensional space that a substance or object occupies. It is usually measured in cubic units, such as cubic meters, cubic centimeters, cubic feet, or cubic inches.

To construct the box, we start with a square piece of cardboard that is 8 inches by 8 inches. We will cut out squares from each corner with side length x inches. This will leave us with a rectangular piece of cardboard with dimensions 8-2x by 8-2x, and we can fold up the sides to form the open box.

The height of the box will be x inches, and the length and width of the base of the box will be 8-2x inches. Therefore, the volume of the box will be:

Volume = Length x Width x Height

Volume = (8-2x) x (8-2x) x x

[tex]Volume = x(64-32x+4x^2)[/tex]

Therefore, the volume of the box is a function of x, given by: [tex]V(x) = 4x^3 - 32x^2 + 64x[/tex]

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Answer:

the last one

Step-by-step explanation:

it passes through the most points

The area of the complex figure is 178 square meters.

Option (A) is correct.

What is an area?

In geometry, area is the measure of the amount of surface enclosed by a two-dimensional shape or a planar figure. It is typically measured in square units such as square centimeters, square inches, or square meters.

To find the area of a rectangle, we can multiply its length by its width.

Given width = 8 m and length = 16 m, the area of the rectangle is:

Area = length x width = 16 m x 8 m
Area = 128 cm^2 ------(I)

To find the area of a rectangle, we can multiply its length by its width.

Given width = 5 m and length = 6 m, the area of the rectangle is:

Area = length x width = 6 m x 5 m
Area = 30 m^2 -----(II)

The area of a triangle is given by the formula A = 1/2 x b x h, where A is the area, b is the base of the triangle, and h is its height.

Given that the height of the triangle is 8 m and its base is 5 m, the area of the triangle is:

A = 1/2 x b x h = 1/2 x 5 m x 8 m
Area = 20 square m  ---------(III)

Adding (I), (II) and (III), we get

Area = 128 + 30 + 20

Area = 178 sq.m

Hence, the area of the complex figure is 178 square meters.

Option (A) is correct.

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Answer:

The area of the complex figure is 178 square meters. Thus, Option (A) is correct.

Answer:

Side PQ is the same as RQ

Angle QRS is the same as QPS

Step-by-step explanation:

The table which represents a linear function is answer B. By calculating the slope between any two points on the table.

A linear function is a mathematical function that produces a straight line when graphed. It is a type of function where the input variable (x) and output variable (y) are related in a way that can be represented by a straight line.

To determine which table represents a linear function, we need to check whether the change in the output variable (y) is proportional to the change in the input variable (x) for any two points on the table.

Answer A:

When we compare the difference between each value of y, we see that each subsequent value of y is multiplied by 2. For example, 2 x 2 = 4, 4 x 2 = 8, and so on. This means that there is a constant rate of change between each pair of x and y values, but the rate of change is not constant. Therefore, the function is not linear.

Answer B:

When we compare the difference between each value of y and x, we see that the difference between any two values of y is proportional to the difference between the corresponding x values. Specifically, when x increases by 1, y increases by 1, except for the first two values. This means that the rate of change between each pair of x and y values is constant, and the function is linear.

Answer C:

When we compare the difference between each value of y, we see that the difference between any two values of y is not proportional to the difference between the corresponding x values. Specifically, the rate of change is not constant. Therefore, the function is not linear.

Answer D:

When we compare the difference between each value of y, we see that the rate of change is not constant. Specifically, the rate of change from x = 1 to x = 2 is different from the rate of change from x = 2 to x = 3. The function is not linear.

Therefore, only answer B represents a linear function.

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The 1-dimensional space can be identified using the point x= 3, that is the x-coordinate of the point. This depicts the complexity of the space in 1-dimension.

The link between the number of dimensions and the complexity of the space is shown by the fact that just one integer is required to identify a specific location in a 1-dimensional space. The complexity of the space increases as the number of coordinates required to identify a point increases in higher dimensions.

Hence, the 1-dimensional space can be identified using the point x= 3, that is the x-coordinate of the point. This depicts the complexity of the space in 1-dimension.

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The slope of the secant line  PQ is -11.6

To find the slope of the secant line PQ, we need to find the coordinates of point Q, and then calculate the slope using the formula:

slope of PQ = (yQ - yP)/(xQ - xP)

where (xP, yP) = (0, 9) and (xQ, yQ) = (0.1, y(0.1)).

First, we need to find y(0.1) by substituting x = 0.1 into the equation y = (3 - 2x)^2:

y(0.1) = (3 - 2(0.1))^2 = (2.8)^2 = 7.84

Therefore, point Q is (0.1, 7.84).

Now we can calculate the slope of PQ:

slope of PQ = (yQ - yP)/(xQ - xP) = (7.84 - 9)/(0.1 - 0) = -11.6

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Answer: 57.50$

Step-by-step explanation:

if you have more questions like this there are good commission calculators id recommend look them up

15% of 50 is 7.50

add them together and you get

57.50$

hope this helps

Answer:

B, C

Step-by-step explanation:

360 - 90 - 15 = 255

-90 - 15 = -105

The mean and standard deviation for Brett Favre's per game pass completions were 21.4 and 6.47, respectively, and all measurements fall within two standard deviations of the mean.

What is standard deviation ?

Standard deviation is a measure of the amount of variation or dispersion in a set of data. It is a statistic that indicates how much the individual data points deviate from the mean or average of the dataset.

a. Here's a stem-and-leaf plot for the number of passes completed by Brett Favre for each of the 16 regular season games in the fall of 2006:

Each stem represents the tens digit of the number of passes completed, and each leaf represents the ones digit.

b. To calculate the mean and standard deviation for Brett Favre's per game pass completions, we can use the following formulas:

mean = (sum of all values) / (number of values)

standard deviation = sqrt[(sum of (each value minus the mean) squared) / (number of values - 1)]

Using these formulas, we get:

mean = (15 + 31 + 25 + 22 + 22 + 19 + 17 + 28 + 24 + 5 + 22 + 24 + 22 + 20 + 26 + 21) / 16 = 21.4

standard deviation = [tex]sqrt[((15-21.4)^2 + (31-21.4)^2 + (25-21.4)^2 + (22-21.4)^2 + (22-21.4)^2 + (19-21.4)^2 + (17-21.4)^2 + (28-21.4)^2 + (24-21.4)^2 + (5-21.4)^2 + (22-21.4)^2 + (24-21.4)^2 + (22-21.4)^2 + (20-21.4)^2 + (26-21.4)^2 + (21-21.4)^2) / (16-1)] = 6.47 \\ \\= 6.47[/tex] (rounded to two decimal places)

Therefore, Brett Favre's per game pass completions had a mean of 21.4 and a standard deviation of 6.47.

c. To find the proportion of the measurements that lie within two standard deviations of the mean, we need to find the range of values that fall within two standard deviations above and below the mean. We can use the following formula:

range = mean ± (2 × standard deviation)

Plugging in the values we calculated in part b, we get:

range = 21.4 ± (2 × 6.47) = 8.46 to 34.34

Therefore, the mean and standard deviation for Brett Favre's per game pass completions were 21.4 and 6.47, respectively, and all measurements fall within two standard deviations of the mean.

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The value of a is given as follows:

a = 2.4.

Similar polygons are polygons that share these two features presented as follows:

As the two polygons are similar for this problem, the proportional relationship for the lengths is given as follows:

3/5 = a/4 = (b - 6)/2.

Hence the value of a is obtained as follows:

3/5 = a/4

5a = 12

a = 12/5

a = 2.4.

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The length of the diagonals will be WZ = XZ = 11 units.

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

The length of the two diagonals of the rectangle is equal. The value of x will be calculated as,

6x - 7 = 3x + 2

3x = 9

x = 3

WZ = 6x - 7

WZ = 6 x 3 - 7

WZ = 18 - 7

WZ = 11

XZ = 3x + 2

XZ = 3 x 3 + 2

XZ = 11

Therefore, the length of the diagonals will be WZ = XZ = 11 units.

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Therefore, the correct answer is option 4: 5x + 3y = 80.

A mathematical statement that shows the equivalence of two formulas is what an equation through algebra means. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are split by the 'equal' symbol.

Let the number of 3-point questions answered correctly be x, and the number of 5-point questions answered correctly be y. Then, we can form two equations based on the information given:

3x + 5y = 80 (total score equation)

x + y = ?? (number of questions answered equation)

We cannot determine the exact value of x + y from the given information, so we will leave it as an unknown.

The correct equation that represents the number of 33-point questions, x, and the number of 5-point questions, y, he answered correctly is:

5x + 3y = 80

This equation comes from the fact that the student only answered 3-point and 5-point questions correctly. Therefore, the only way for the student to get a score of 80 is if the number of 3-point questions he answered correctly is a multiple of 3 and the number of 5-point questions he answered correctly is a multiple of 5. Thus, we can write:

x = 33n, where n is a non-negative integer (since the number of 3-point questions he answered correctly must be a multiple of 33)

y = 5m, where m is a non-negative integer (since the number of 5-point questions he answered correctly must be a multiple of 5)

Substituting these expressions into the total score equation, we get:

3(33n) + 5(5m) = 99n + 25m = 80

Simplifying this equation, we get:

5x + 3y = 80

Therefore, the correct answer is option 4: 5x + 3y = 80.

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