A line segment has the endpoints (-7, -4) and (9,8). What are the coordinates of the midpoint
of this line segment?
A. (2, 4)
B.
(-1,2)
C. (-1,-6)
D.
(-8, 2)
E.
(-2,-4)
F.
(1, 2)

Answer:

of the 30 students in the class, 2/3 are wearing jackets. How many students in the class are wearing jackets.

Step-by-step explanation:

For the first one, the equation would be 1/3(30)

for the second, the equation would be 3/2(30)

and the last on would be the same as the first. 1/3(30)

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

The distance of the jot air balloon to ground is 21.62 ft.

Here, we have,

In triangle ACB:

tan36° = x/y

x  = y tan36°

In triangle ADB:

tan25° = x/y + 12

x  = y+12 * tan25°

Therefore equating both equations gives:

y tan36°  =  y+12 * tan25°

y tan36°  =  y tan25° + 12tan25°

so, we get,

y = 21.50 ft

Therefore x = 21.50*tan(36) = 15.62 ft

The distance of the jot air balloon to ground = 15.62 + 6 = 21.62 ft

Hence, The distance of the jot air balloon to ground is 21.62 ft.

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Answer:

True

Step-by-step explanation:

27 = 3 x 9

0.9 = 9 x 0.1

27 ÷ 0.9

= 27/0.9

= (3 x 9)/(9 x 0.1)

= 3/0.1

= 3/0.1 x 10/10

= (3 x 10)/(0.1 x 10)

= 30/1

= 30

Answer:

24 for 2.99

Step-by-step explanation:

2.99/24 = $0.1245 per ounce
4.99/36  = $0.1386 per ounce

So the 36 cost more per ounce.

We need to find the general solution of the above PDE. Let's solve the above PDE by the method of characteristic. Let us first solve the PDE by using the method of characteristics.

The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations. To use this method, we first need to find the characteristic curves of the given PDE. Thus, the characteristic curves are given by $x = t + c_1$.

Now, we need to eliminate $t$ from the above equations in order to obtain the general solution. By eliminating $t$, we get the general solution as:$$u(x,y) = f(2x - 3y) + 3(x - 2y)$$ where $f$ is an arbitrary function of one variable. Hence, the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$ is given by the above equation. Thus, the main answer to the given question is $u(x,y) = f(2x - 3y) + 3(x - 2y)$. In order to find the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$, we first used the method of characteristics. The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations.

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The equation for the graph after the shift would be y = x + 1. The answer is y = x + 1.

What happens when a function is shifted vertically?

Because this transformation involves adding a positive or negative constant to the function, a vertical shift, which moves the graph up or down, is the simplest shift. In other words, regardless of the input, the output result of the function receives the same constant.

The y-value adjusts when a function shifts vertically. While the y-value modifies the shift's magnitude, the x-value remains constant.

We add the value to the y-term if it changes upward. We shall deduct that amount from the y-term if it shifts downward.

The simplest transformation is a vertical shift, which entails moving the graph up or down. This is because this transformation only requires changing the function's sign from positive to negative.

The only variable that alters in vertical shifts of the fundamental linear equation y = mx + b is the b value, or the y-intercept.

The graph shown above is the graph of the parent function y=x after a vertical shift up 1 unit.

Hence, The equation for the graph after the shift would be y = x + 1. The answer is y = x + 1.

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Angle 2 will also be 75 degrees in magnitude.

The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogues.

Given are four intersecting lines.

If angle 14 is 75 degrees then angle 2 will also be 75 degrees because they both form pair of alternate interior angles.

Therefore, angle 2 will also be 75 degrees in magnitude.

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Answer:

Step-by-step explanation:

it has 14 sides

360/14= 25.714

rounding to the nearest tenth we get:

25.7

Answer:

b

Step-by-step explanation:

Answer: this was the correct answer for me (A)

ABC currently has greater monthly sales than XYZ but in three months XYZ will have greater monthly sales than ABC

Step-by-step explanation:

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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Answer:

C

Step-by-step explanation:

C is a reasonable awnser and makes the same outcome

Answer:

A

Step-by-step explanation:

So we have the equation:

\(-15=5a+12-2a+6\)

On the right combine like terms:

\(-15=5a-2a+12+6\\-15=3a+18\)

Subtract 18 from both sides. The right cancels:

\((-15)-18=(3a+18)-18\\-33=3a\)

Divide both sides by 3:

\((-33)/3=(3a)/3\\a=-11\)

The answer is A, -11.

Answer:

a = -11

Step-by-step explanation:

-15 = 5a +12- 2a + 6

Combine like terms

-15 = 3a +18

Subtract 18 from each side

-15-18 = 3a+18-18

-33 = 3a

Divide each side by 3

-33/3 = 3a/3

-11 =a

There are 20! rational numbers between 0 and 1 for which the product of the resulting numerator and denominator is 20!.

To write a rational number as a fraction in lowest terms, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Let's calculate the product of the resulting numerator and denominator for 20! and determine how many rational numbers between 0 and 1 will have this product.

First, let's calculate 20! (the factorial of 20):

\($20! = 20 \times 19 \times 18 \times \ldots \times 2 \times 1$\)

Next, we'll express 20! as a fraction in lowest terms. Since 20! is an integer, we can write it as a fraction over 1:

\($\frac{20!}{1}$\)

To find the product of the resulting numerator and denominator, we'll simplify the fraction:

\($\frac{20!}{1} = \frac{20 \times 19 \times 18 \times \ldots \times 2 \times 1}{1} = 20 \times 19 \times 18 \times \ldots \times 2 \times 1$\)

Now, to determine how many rational numbers between 0 and 1 will have the product 20!, we need to consider the number of unique fractions that can be formed with 20! as the numerator.

Since the denominator can be any positive integer less than or equal to 20!, the number of rational numbers will be equal to 20!.

Therefore, there are 20! rational numbers between 0 and 1 for which the product of the resulting numerator and denominator is 20!.

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Answer:

a

Step-by-step explanation:

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

The dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

In the question,

The function is \(B(x) = 0. 06x^2 - 0. 2x^3\)

To find the maximum or minimum, take the derivative and set it equal to zero.

⇒ \(B'(x) = 2(0. 06)x - 3(0. 2)x^{2}\)

Setting it equal to zero, we get

⇒ \(0.12x - 0.6x^{2}=0\)

⇒ 0.6x (0.2-x) = 0

⇒ x = 0 or x = 0.2

Now substitute x = 0.2 in B(x), we get

⇒ \(B(0.2) = 0. 06(0.2)^{2} - 0. 2(0.2)^{3}\)

⇒ B(0.2) = 0.0024 - 0.0016

⇒ B(0.2) = 0.0008

To know B(0.2) is maximum, let us find the values for x = 1 and x = 0.01.

For x = 1,

⇒ \(B(1) = 0. 06(1)^{2} - 0. 2(1)^{3}\)

⇒ B(1) = 0.06-0.2

⇒ B(1) = -1.04

For x = 0.01,

⇒ \(B(0.01) = 0. 06(0.01)^{2} - 0. 2(0.01)^{3}\)

⇒ B(0.01) = 0.000006 - 0.0000002

⇒ B(0.01) = 0.0000058

Thus, x = 0.2 is the maximum.

Hence we can conclude that the dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

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The conversions are: a) 7 = 00000111 (binary) = 0x07 (hexadecimal) b) 12 = 00001100 (binary) = 0x0C (hexadecimal) c) -50 = 11111010 (binary) = 0xFA (hexadecimal) d) -1 = 11111111 (binary) = 0xFF (hexadecimal) e) -128 = 10000000 (binary) = 0x80 (hexadecimal)

To convert decimal numbers to 8-bit binary and 8-bit hexadecimal using 2's complement representation, we follow these steps:

Step 1: Convert the decimal number to binary.

Step 2: Pad the binary representation with leading zeros to make it 8 bits long.

Step 3: Determine the hexadecimal representation of the binary number.

a) Decimal number: 7

Step 1: 7 in binary is 0111.

Step 2: The binary representation is already 8 bits long.

Step 3: The hexadecimal representation is 0x07.

b) Decimal number: 12

Step 1: 12 in binary is 1100.

Step 2: Pad the binary representation with leading zeros: 00001100.

Step 3: The hexadecimal representation is 0x0C.

c) Decimal number: -50

Step 1: To represent a negative number using 2's complement, we need to find the binary representation of its absolute value and then invert the bits and add 1.

Absolute value of -50: 50 in binary is 110010.

Invert the bits: 001101.

Add 1: 001110.

Step 2: Pad the binary representation with leading zeros: 11111010.

Step 3: The hexadecimal representation is 0xFA.

d) Decimal number: -1

Step 1: Absolute value of -1: 1 in binary is 0001.

Invert the bits: 1110.

Add 1: 1111.

Step 2: Pad the binary representation with leading zeros: 11111111.

Step 3: The hexadecimal representation is 0xFF.

e) Decimal number: -128

Step 1: Absolute value of -128: 128 in binary is 10000000.

Invert the bits: 01111111.

Add 1: 10000000.

Step 2: The binary representation is already 8 bits long.

Step 3: The hexadecimal representation is 0x80.

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Answer:

33.25

Step-by-step explanation:

Answer:

Cost of of a pound of orange = $0.9

Step-by-step explanation:

Cost of a gallon of milk = $3.60

Cost of of a pound of orange = $x

Total spent on a gallon of milk and 5/6 of a pound of orange = $4.35

4.35 = 3.60 + 5/6x

4.35 - 3.60 = 5/6x

0.75 = 5/6x

x = 0.75 ÷ 5/6

= 0.75 × 6/5

= 4.5/5

= 0.9

x = $0.9

Cost of of a pound of orange = $0.9

Answer:

a

Step-by-step explanation:

edgen

The greatest common factor (GCF) of -8dm² and 24d²m is 8dm. This can be determined by identifying the common factors and taking the highest power of each factor.

To find the greatest common factor (GCF) of -8dm² and 24d²m, we need to determine the largest expression that can divide both terms without leaving any remainder.

Let's break down each term into its prime factors:

-8dm² can be expressed as (-1) * 2³ * d * m²

24d²m can be expressed as 2³ * 3 * d² * m

To find the GCF, we look for the common factors between the two expressions. The highest power of each common factor is taken.

The common factors between the two expressions are 2, d, and m. We take the highest power of each factor, which is 2³ * d * m. Simplifying this, we get 8dm.

Therefore, the greatest common factor of -8dm² and 24d²m is 8dm.

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\(\bold{\huge{\underline{ Solution }}}\)

Here, we have to

We know that the,

Length of the median of trapezium

\(\sf{ m = }{\sf{\dfrac{1}{2}}}{\sf{ (a + b) }}\)

Subsitute the required values in the above formula :-

\(\sf{ LV = }{\sf{\dfrac{1}{2}}}{\sf{ [MA + HT]}}\)

\(\sf{ 8.5 = }{\sf{\dfrac{1}{2}}}{\sf{[ (3y - 2) + (2y + 4)]}}\)

\(\sf{ 8.5 = }{\sf{\dfrac{1}{2}}}{\sf{ [3y - 2 + 2y + 4]}}\)

\(\sf{ 8.5 = }{\sf{\dfrac{1}{2}}}{\sf{ [5y + 2] }}\)

\(\sf{ 8.5 {\times}2 = 5y + 3 }\)

\(\sf{ 17 = 5y + 2 }\)

\(\sf{ 5y = 17 - 2 }\)

\(\sf{ 5y = 15 }\)

\(\bold{ y = 3 }\)

Hence, The value of y is 3

Here, we have to find the length of MA and HT

For MA

\(\sf{ MA = 3y - 2}\)

Subsitute the value of y

\(\sf{ MA = 3(3) - 2}\)

\(\sf{ MA = 9 - 2 }\)

\(\bold{ MA = 7 }\)

For HT

\(\sf{ HT = 2y + 4}\)

Subsitute the value of y

\(\sf{ MA = 2(3) + 4 }\)

\(\sf{ MA = 6 + 4 }\)

\(\bold{ MA = 10 }\)

Hence, The length of MA and HT are 7 and 10 .

Here's a implementation of a program in Java

package shapes;

public class GreenSpace{

public static void main( String() args){

final double TAPESTRY_SIDE = 750.0;BLUE_CIRCLE_RADIUS = (TAPESTRY_SIDE/2.0)-35.0;

final double BLACK_SQUARE_SIDE = Math.sqrt( 2) *BLUE_CIRCLE_RADIUS;

final dual GREEN_SQUARE_SIDE = BLACK_SQUARE_SIDE/( 1Math.sqrt( 2));

final double GREEN_SQUARE_AREA = GREEN_SQUARE_SIDE *GREEN_SQUARE_SIDE;// mm2

(" The area of the green space in the tapestry is" + GREEN_SQUARE_AREA" mm2.");

In this implementation, we first outline a few constants based on the problem declaration. We use the final keyword to suggest that those values will not change during the execution of this system. We additionally use the math.sqrt() method to compute the rectangular root of two.

We then compute the radius of the blue circle as 1/2 the tapestry side minus 35mm, and the aspect of the black rectangular as the diagonal of a rectangular whose aspects are tangent to the blue circle (which is same to twice the circle radius via the Pythagorean theorem).

We then compute the side of the green rectangular as the side of a square inscribed in a rectangle with a ratio of 1:sqrt(2) (which is identical to the diagonal of a rectangular with aspect identical to the black square side divided by (1+sqrt(2))).

Eventually, we compute the area of the green square by way of squaring its aspect period and print it to the console the use of the machine.out.println() approach.

Note that we define the GreenSpace class internal a package known as "shapes". this is a common practice in Java to arrange associated classes into namespaces. if you need to run this program, you will need to save it in a file called GreenSpace.java internal a listing known as "shapes" for your project's source directory.

Complete Question-

Generate a Java program called GreenSpace in the shapes package to compute the area of the green space in the below image of a tapestry. The side length of the tapestry is 750mm. The edge of the blue circle is exactly 35mm from the midpoints of the sides of the black square. The interior green square is inscribed in Rectangle Ratios such that the rectangle you get by folding it in half is similar to the original

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Answer:

as below

Step-by-step explanation:

1st  the difference is 4  b/c half of 4 = 2

and

2*smaller +greater = 13

so check out small number that are 4 apart.. like 2 and 6

2(2)+6 =10

2(3) +7 = 13  aahh hah..  that's it

3 and 7 are the numbers being hunted :P

Answer:

80 - 140 = -60

-60

Step-by-step explanation: