what are the coordinates of the midpoint of the segment with endpoints A(-3, -2) and C(1,6)
A-(-2,0)
B-(-1,2)
C- -1,1)
D-(0,4)

Answer: 0

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Slope is a value that describes the steepness and direction of a line.

A line with a negative slope, said to be decreasing, runs downwards from left to right.

A line with a positive slops, said to be increasing, runs upwards from left to right.

A horizontal line has a slope of zero because y does not change. A vertical line has an undefined slope because you cannot divide by zero (x does not change).

I hope this helps to understand :)

Given a function with one vector parameter scores, if scores may be very large, and the function will modify the parameter, the parameter would be defined as pass by reference but not constant.

Pass-by-reference refers to passing the reference of an argument in the calling function to the corresponding formal parameter of the called function. The called function can modify the value of the argument by using its reference passed in. It refers to an alias or reference to the actual parameter that is passed to the method. Pass by reference makes the parameter modifiable, but constant prevents the parameter from being modified.

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Answer:

Mr. Callaway needs 120 ounces of seed to seed both lawns

Step-by-step explanation:

2400/40 = 60 ounces per square foot

3000 divided by 60 = 50 ounces

So, Mr. Callaway needs 50 ounces to cover a 3000-square-foot lawn

4200 divided by 60 = 70 ounces

So, Mr. Callaway needs 70 ounces to cover a 4200-square-foot lawn

50+ 70 = 120 ounces

So, Mr. Callaway needs 120 ounces to seed both lawns.

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Answer:

120 ounces pf grass seed

Step-by-step explanation:

[tex]\frac{40}{2400}[/tex] = [tex]\frac{x}{3000}[/tex]  Cross multiply and solve for x

120000 = 2400x  Divide both sides by 2400

\[tex]\frac{120000}{2400}[/tex] = [tex]\frac{2400x}{2400}[/tex]

50 = x

It will take 50 ounces of grass seed to cover 3,000 square foot lawn.

[tex]\frac{40}{2400}[/tex] = [tex]\frac{x}{4200}[/tex]  Cross multiply and solve for x

168000 = 2400x  Divide both sides by 2400

70 = x  

It will take 70 ounces of grass seed to cover 4200 square foot lawn.

50 + 70 = 120

Answer: A Geometric sequence is a type of sequence in which each subsequent term after the first term is determined by multiplying the previous term by a constant (not 1), which is referred to as the common ratio.

Step-by-step explanation: Hope this was helpful

Step-by-step explanation:

The sequence

a, ar, ar^2, .....ar^n-1,...

where a is the first term and any two consecutive numbers differ by a factor r, is called a Geometric progression (G.P.).

Geometric progression also known as Geometric sequence.

Answer: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

Step-by-step explanation: Hope this was helpful

An arithmetic sequence (arithmetic progression) is a number sequence with a common difference between successive terms. By using the arithmetic sequence formula, we can easily find the value of a term and the common difference in the sequence.

Example: 5, 7, 9, 11, 13, 15

The possible number of hours Henry could trim trees is t > 10.

The given information represents a scenario which demonstrates an inequality statement as Henry wants to earn at least $ 56, which means the amount earned should be greater than 56.

Let t be the possible number of hours Henry trim trees. As his per hour charge is $6 and he pays $4 in equipment fee, the inequality statement is:

6t – 4 > 56

Solving,

6t  > 56 + 4

6t  > 60

t > 10.

In order to earn at least $56, Henry must trim trees for at least 10 hours or more.

Note: The question is incomplete. The complete question probably is: Henry wants to earn more than $56 trimming trees. He charges $6 per hour and pays $4 in equipment rental fees. What are the possible number of hours Henry could trim trees?

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△DEF is congruent to △D'E'F' because you can map △DEF to △D'E'F' using a reflection across the x-axis, which is a rigid motion.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the shapes have been flipped, turned, or rotated, the shape and size ought to remain constant.

1)  Reflections, rotations and translations are rigid transformations, because they do not modify the lengths of the segments nor the angles, so the images and the preimages are congruents.

2) Let's see what transformation map △DEF is to △D'E'F' by analyzing the vertices of preimage and image:

Preimage         Image

D (-3, -1)            D' (-3, 1)

E (2, -4)             E' (2, 4)

F (4, -4)             F' (4, 4)

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The evaluation of the given fraction expression is 1 11/16. The correct option is the last option

From the question, we are to evaluate the given expression.

The given expression is

[tex]12 \div (2+\frac{2}{3})^{2}[/tex]

Evaluating the expression

[tex]12 \div (2+\frac{2}{3})^{2}[/tex]

[tex]12 \div (\frac{8}{3})^{2}[/tex]

[tex]12 \div (\frac{8^{2}}{3^{2}})[/tex]

[tex]12 \div \frac{64}{9}[/tex]

= [tex]12 \times \frac{9}{64}[/tex]

= [tex]\frac{108}{64}[/tex]

= [tex]\frac{27 \times 4}{16 \times 4}[/tex]

= [tex]\frac{27}{16}[/tex]

= [tex]1\frac{11}{16}[/tex]

Hence, the fraction is 1 11/16

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Answer:

The sample midrange for the data is 559

What is Sample midrange?

Although the sample midrange only uses a small fraction of the data, outliers can have a significant impact on it. It offers details on the distribution's skewness and heavy tails, which are identical to those of the random variable's distribution. Although the structure of this distribution is not obvious, with large sample sizes, the central limit will cause it to resemble a normal distribution.

According to question:

Minimum value: 34

Maximum values:  1084

The sample midrange can be computed as:

(Minimum value + Maximum value) / 2

⇒ (34+1084)/2

⇒ (1118)/2

⇒ 559

Hence, the sample midrange is 559

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The Complete Question is

The ratio of a : b : c in the linear equation is 2 : -1 : -1

From the question, we have the following equation that can be used in our computation:

ax + by + c = 0

The points on the line are given as

(2 ,3) and (8 , 15)

A linear equation is represented as

y = mx + c

Where

Slope = m

y-intercept = c

This means that

3 = 2m + c

15 = 8m + c

Subtract the equations

So, we have the following representation

6m = 12

Divide by 6

m = 2

Substitute m = 2 in 3 = 2m + c

3 = 2 * 2 + c

So, we have

c = -1

Substitute m = 2 and c = -1 in y = mx + c

y = 2x - 1

So, we have

2x - y - 1 = 0

Recall that

ax + by + c = 0

This means that

a : b : c = 2 : -1 : -1

Hence, the ratio is 2 : -1 : -1

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Answer: Hugo should buy car A

Step-by-step explanation:

Car A

Take 702 divided by 12 = 58.5 miles per gallon of gas

Car B

Take 873 divided by 15 = 58.2 miles per gallon of gas.

So Hugo should buy car A

0.25Q+0.05N=3.25 and Q+N=31 is the required system of equation and nickels should be 22.5 and Quarters should be 8.5

Two or more expressions with an Equal sign is called as Equation.

From given,

3.35$ in quarters and nickels. If you have 31 coins

0.25Q+0.05N=3.25..(1)

Q+N=31

Q=31-N

Now substitute Q value in (1)

0.25(31-N)+0.05N=3.25

7.75-0.25N+0.05N=3.25

7.75-0.2N=3.25

Subtract 7.75 on both sides

-0.2N=3.25-7.75

-0.2N=-4.5

Divide both sides by 0.2

N=22.5

and Q+22.5=31

Q=31-22.5

Q=8.5

Hence, 0.25Q+0.05N=3.25 and Q+N=31 is the required system of equation and nickels should be 22.5 and Quarters should be 8.5

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The length of the midsegment of the triangle DEF is 47 units.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the midsegment of a triangle is half of the length of the parallel side.

∴ GH = (1/2)DF.

3x - 4 = (1/2)(9x - 59).

6x - 8 = 9x - 59.

- 3x = - 51.

x = 17.

So, The length of GH is 3(17) - 4 = 51 - 4 = 47 units.

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Answer:

Step-by-step explanation:

40/20= 20

39/x=x

that woudl be how you would find it

Answer:

The two numbers we are looking for are a rational number and an irrational number.

Step-by-step explanation:

To find the two numbers that, when multiplied by the square root of 360, give a rational number, we can consider the prime factorization of 360. 360 can be written as 2^3 * 3^2 * 5, so the square root of 360 is equal to √(2^3 * 3^2 * 5) = 2√(3 * 5) = 2√15.

Now, suppose we want to find a rational number that is equal to x * √15. We can rewrite this expression as x * √(3 * 5) = x * √3 * √5. For this expression to be rational, both x and √3 must be rational or both must be irrational.

If x is rational, then the expression x * √3 * √5 is rational. Therefore, one of the two numbers we are looking for is x, which is a rational number.

If x is irrational, then the expression x * √3 * √5 is irrational. Therefore, the other number we are looking for is √3, which is an irrational number.

Therefore, the two numbers we are looking for are a rational number and an irrational number.

( g - 14)² is factor of equation .

What is factor ?

A number that divides another number by itself with no residual is known as a factor.The factors of 8 are the numbers that divide 8 exactly without leaving any remainder. There are four factors of 8, they are 1, 2, 4, and 8.

             In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Since the numbers we are multiplying are divisible by the product, they are factors of the product.

g2 − 28g + 196

= g² - 14g - 14g + 196

= g( g- 14 ) - 14( g - 14 )

= ( g - 14) ( g - 14)

= ( g - 14)²

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The complete question is -

One of the factors of g2 -28g + 196 is a. g-7 b. g-14 c. g+14 d. g+7

a) Natural number: [tex]12[/tex]

b) Integer that is not a natural number:[tex]-8[/tex]

c) Rational number that is not an integer: [tex]\frac{5}{10} or 0.5[/tex]

d) An Irrational number: [tex]\sqrt{3}[/tex]

A natural number is any whole number greater than zero, such as [tex]1,2,3,4,5,6[/tex]  etc. Natural numbers are also known as counting numbers.

An integer is a whole number (not a fraction) that can be positive, negative, or [tex]0[/tex]. Examples of integers are: [tex]-5,0,1,5,10.[/tex]

Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are integers. Examples of rational numbers include [tex]-\frac{1}{2},\frac{3}{4},0.75, etc.[/tex]

Irrational numbers are numbers that cannot be expressed as a simple fraction and that cannot be written as a repeating or terminating decimal. Examples of irrational numbers include [tex]\pi (3.14), \sqrt{2}, etc.[/tex]

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a) Natural number: 12

b) Integer that is not a natural number:-8

c) Rational number that is not an integer: [tex]\frac{5}{10}[/tex]

d) An Irrational number: [tex]\sqrt{5}[/tex]

A natural number is any whole number greater than zero, such as [tex]1,2,3,4,5[/tex]  etc. Natural numbers are also known as counting numbers.

An integer is a whole number (not a fraction) that can be positive, negative, or 0. Examples of integers are: [tex]-1,5, etc[/tex]

Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are integers. Examples of rational numbers include [tex]\frac{1}{2} ,0.5[/tex]

Irrational numbers are numbers that cannot be expressed as a simple fraction and that cannot be written as a repeating or terminating decimal. Examples of irrational numbers include [tex]\pi ,\sqrt{6}[/tex]

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The value of z if a 5-sided regular polygon with one angle labeled a, If m ∠ a = (2z + 54)° is 27.

A polygon can be defined as a flat or plane, two-dimensional closed object circumscribed with straight sides. Its sides are not curled. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.

Given:

m ∠ a = (2z + 54)°

The number of sides = 5,

Calculate the value of the sum of the interior angle by the formula given below,

[tex]S = 180(n - 2)[/tex]

S = 180 (5-2)

S = 180 × 3

S = 540°

Calculate the value of a as shown below,

[tex]a = S/5[/tex]

a  = 540 / 5

a = 108

108 = 2z + 54

2z = 108 - 54

z = 54 / 2 = 27

Therefore, the value of z if a 5-sided regular polygon with one angle labeled a, If m ∠ a = (2z + 54)° is 27.

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At some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)

Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards.

We are going to use 50, 8 and 10 to find are answer.

Therefore, we are going to divide the numbers:

[tex]\boxed{50/10}[/tex]

First, we need to figure out 50/10:

[tex]\boxed{50/10=5}[/tex]

[tex]\boxed{8x5=40}[/tex]

[tex]5=40\\(50/10=5=8x5=40)[/tex]

Therefore, at some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)

Answer:

40

Step-by-step explanation:

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.003357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

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The circle's perimeter is determined by F = -9π, according to green's theorem.

The simple formula for Green's theorem is the link between the total amount of microscopic circulation inside curve C and the macroscopic circulation revolving around it.

Remembering that we are talking about two dimensions, if C is a straightforward closed curve in the plane, it will enclose the region D (shown in red) in the plane.

So, knowing that this exercise should be solved using Green's theorem, then:

[tex]\begin{aligned}& \int 4 y d x+2 x y d y=\iint(d / d x)(2 x y)-(d / d y)(4 y) d A \\& =\iint 2 y-4 d A\end{aligned}[/tex]

You must convert in this manner to polar coordinates, and the result will be:

[tex]\begin{aligned}& \int_0^3 \int_0^{2 \pi}(2 r \sin (\theta)-4)(r) d \theta d r \\& =\int_0^3(-2 r \cos (\theta)-4 \theta)(-2 r \pi) d r \\& =-(\pi)\left(r^2\right)=-9 \pi\end{aligned}[/tex]

Therefore, the circle's perimeter is determined by F = -9π, according to green's theorem.

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Correct question;
Suppose F⃗ (x,y)=4yi⃗ +2xyj⃗ . Use Green's Theorem to calculate the circulation of F⃗ around the perimeter of a circle C of radius 3 centered at the origin and oriented counter-clockwise.

Using the system of equation, the cost of one dinning table is 145 dollars.

James is buying furniture for her new apartment. She buys one dining room table and four chairs and cost $265. Mark buys 2 tables and 6 chairs for the total cost of $470.

The system of equation that represent the situation is as follows:

let

x = cost of one dinning room table

y = cost of one chair

Therefore,

x + 4y = 265

2x + 6y = 470

using substitution method,

x = 265 - 4y

2(265 - 4y) + 6y = 470

530 - 8y + 6y = 470

-2y = 470 - 530

-2y = -60

y = -60 / -2

y = 30

Hence,

x = 265 - 4(30)

x = 265 - 120

x = 145

Therefore,

cost of one dinning table  = 145 dollars

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Answer:

Step-by-step explanation:

b(x)=6x^2

That is the same as b(x)=6*x*x

when x=16

b(16)=6*16*16=1536

Answer: 6 pieces of candy

Step-by-step explanation:

Therefore the solution to the difference of fraction comes out to be

12/95

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.

Here,

the given fractions are 3/5 and 9/19

and to find the difference

we take lcm of both denominators

=>  3/5-9/19

=>  (3*19-9*5)/5*19

=>  (57-45)/95

=> 12/95

Therefore the solution to the difference of fraction comes out to be

12/95

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Answer:

[tex] \displaystyle{ y' = \dfrac{2}{1 - {x}^{2} }}[/tex]

Step-by-step explanation:

Apply natural logarithm chain rule:

[tex] \displaystyle{y = \ln(u) \to y' = \dfrac{u'}{u}}[/tex]

Where u is a function. The ' symbol indicates that the function to be derived. From this formula, we will have:

[tex] \displaystyle{y' = \dfrac{ \left (\dfrac{1 + x}{1 - x} \right)'}{ \dfrac{1 + x}{1 - x}}}[/tex]

Now we have to derive quotient functions, we can use quotient rule for this:

[tex] \displaystyle{y = \dfrac{u}{v} \to y' = \dfrac{u'v - uv'}{ {v}^{2} }}[/tex]

Where u and v are functions. Therefore, from numerator:

[tex] \displaystyle{ \left( \dfrac{1 + x}{1 - x} \right)' = \dfrac{(1 + x)'(1 - x) - (1 + x)(1 - x)'}{ {(1 - x)}^{2} }}[/tex]

Derive using power rule and constant rule where:

[tex] \displaystyle{y = {x}^{n} \to y' = n {x}^{n - 1} } \\ \\ \displaystyle{y = c \to y' = 0 \: \: \: \: ( c \in \mathbb{R})}[/tex]

Thus:

[tex] \displaystyle{ \left( \dfrac{1 + x}{1 - x} \right)' = \dfrac{1(1 - x) - (1 + x)( - 1)}{ {(1 - x)}^{2} }} \\ \\ \displaystyle{ \left( \dfrac{1 + x}{1 - x} \right)' = \dfrac{1 - x- ( - 1 - x)}{ {(1 - x)}^{2} }} \\ \\ \displaystyle{ \left( \dfrac{1 + x}{1 - x} \right)' = \dfrac{1 - x + 1 + x}{ {(1 - x)}^{2} }} \\ \\ \displaystyle{ \left( \dfrac{1 + x}{1 - x} \right)' = \dfrac{2}{ {(1 - x)}^{2} }}[/tex]

Therefore, we will now have:

[tex] \displaystyle{y' = \dfrac{ \dfrac{2}{ {(1 - x)}^{2} }}{ \dfrac{1 + x}{1 - x}}}[/tex]

Simplify expressions:

[tex] \displaystyle{ \dfrac{ \dfrac{2}{ {(1 - x)}^{2} }}{ \dfrac{1 + x}{1 - x}} = \dfrac{2}{ {(1 - x)}^{2}} \times \dfrac{1 - x}{1 + x} } \\ \\ \displaystyle{ \dfrac{ \dfrac{2}{ {(1 - x)}^{2} }}{ \dfrac{1 + x}{1 - x}} = \dfrac{2}{ 1 - x} \times \dfrac{1 }{1 + x} } \\ \\ \displaystyle{ \dfrac{ \dfrac{2}{ {(1 - x)}^{2} }}{ \dfrac{1 + x}{1 - x}} = \dfrac{2}{ (1 - x)(1 + x)}}[/tex]

Therefore, the derived function is:

[tex] \displaystyle{ y' = \dfrac{2}{1 - {x}^{2} }}[/tex]

Answer:

Option D: 7/3x

Step-by-step explanation:

Because this line passes through the origin (0,0), we know that there is know b-value according to the equation y = mx + b. To figure out the equation, we must first calculate the slope of the linear function.

Slope = △y/△x

△y (change in y) = -7

△x (change in x) = -3

Therefore, the slope is 7/3 and the equation is y = 7/3x.

a) The mean of the sampling distribution of p is of 0.2.

b) The standard deviation of the sampling distribution of p is of: 0.0231, which is the amount that the sample proportions may differ from 0.2.

c) The shape of the sampling distribution of p is approximately normal.

The sampling distribution of p is defined according to the Central Limit Theorem, which states that the sampling distribution of a proportion p in a sample of size n has:

The parameters for this problem are given as follows:

p = 0.2, n = 300.

The 10% condition is given as follows:

Then the standard error of the sampling distribution of p is calculated as follows:

[tex]s = \sqrt{\frac{0.2(0.8)}{300}} = 0.0231[/tex]

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