Given N(-3,-7), O(-4,-2), P(1, -7), and Q(-2, y). Find y
such that NO|| PQ.

Answer:

Exact form:

[tex]s = - \frac{60}{13} [/tex]

Decimal form:

[tex]s = - 4.615384[/tex]

Mixed Number Form:

[tex]s = - 4 \frac{8}{13} [/tex]

To solve a linear equation with fractions, more than two procedures are required. To undo each action in reverse order, use inverse operations.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

If a mathematical equation contains fractions, divide both sides by the LCD to eliminate the fractions.

Solving a Multi-Step Equation in Steps

Step 1, eliminate the fractional equation.

Step 2: Remove the parentheses from either side using the Distributive Property.

Combining similar phrases on each side in step three.

Step 4: Reverse any additions or subtractions.

Step 5: Reverse division or multiplication.

For more information equations with fractions kindly visit to

https://brainly.com/question/12240039

#SPJ4

Answer:

Your answer is <, Hope it helps.

Answer: 1 13/ 20

Step-by-step explanation:

first multiply 2 1/5 and 1 3/4 you will get 3 17/20then subtract from 3 17/20 - 2 1/5 you will get 1 13/20

Answer:

24

Step-by-step explanation:

Clara builds 3 parts of the fence per hour--

if she works for 8 hours-- we know she built 3 fences each hour-- you would multiply,

8(hours) x 3 (fences) = 24  

we know this is right because 3 parts are built for every hour

(3+3+3+3+3+3+3+3 = 24)

she worked for 8 hours and built 3 parts of the fence every hour

in total, she built 24 parts of the fence.

The interquartile range of the given data set is 2.16.

The given data is 2.35, 1.56, 1.77, 2.45, 6.02, 4.38, 2.77, 5.23, 2.22 and 3.26.

The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.

Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1

The  order of the given data is 1.56, 1.77, 2.22, 2.35, 2.45, 2.77, 3.26, 4.38, 5.23, 6.02.

Here,

Q1= 1/4 (n+1) = 11/4= 2.75

= 2.22

Q3 = 3/4 (n+1) = 8.25

= 4.38

Q2 =4.38-2.22

= 2.16

Therefore, the interquartile range of the given data set is 2.16.

Learn more about the interquartile range here:

https://brainly.com/question/4135956.

#SPJ1

I honestly do not know???

The angle B for the triangle ABC has a measure of 118° so the correct option is 118°.

The angle B and its exterior angle lie on a straight line, thus their sum is equal to 180°

From the question, we are given that;

m∠B = (12x − 26)° and the exterior angle = (7x − 22)°

so;

12x - 26 + 7x - 22 = 180° {collect like terms}

19x - 48 = 180°

19x = 180° + 48° {add 48° to both sides}

19x = 228°

x = 228°/19 {divide through by 19}

x = 12

Therefore, by putting the value 12 for x in m∠B = (12x − 26) we get the angle B as;

B = 12(12) - 26

B = 144 - 26

B = 118°

In conclusion, the triangle ABC, with m∠B = (12x − 26)° and the measure of the exterior angle to ∠B is (7x − 22) have the angle B equal to 118°.

Know more about triangles here:https://brainly.com/question/17972372

#SPJ1

Answer: 30n+45=t

Step-by-step explanation:

Answer: in every case, the first two number multiplied equal the third number, I don't quit understand if that's the answer you were looking for,

but that's the first thing that occurred to me

Answer:

25.9

Step-by-step explanation:

Tangents drawn from a common external point are equal.

[tex]10x-31=2x+17 \\ \\ 8x-31=17 \\ \\ 8x=48 \\ \\ x=6 \\ \\ \implies GE=29 \\ \\ DG=\sqrt{29^2-13^2} \approx 25.9[/tex]

Answer:

Step-by-step explanation:

the answer is b the arrow BD make angels equal in both sides

The values they represent for each of the five data types shown are below.

What is hexadecimal numbers?

The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.

For x434F4D50

Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000

1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111

2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111

IEEE 754 Floating point - 207.302001953125

ASCII string -COMP

For x55544552

Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010

1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101

2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110

IEEE floating point 1.4587137097728E13

ASCII string: UTER

To know more about hexadecimal numbers, click on the link

https://brainly.com/question/9543292

#SPJ4

The time taken to reach $1000000 with an interest rate in a mutual fund of 8% compounded monthly is about 64 years and 2 months.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

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

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $6000

r = 8%

n = 12

A = $1000000

Now,

1000000 = 6000 [tex](1 + 0.08/12)^{12t}[/tex]

1000/6 = [tex]1.0067^{12t}[/tex]

log on both sides.

log 166.67 = 12t log 1.0067

2.22 = 12t x 0.0029

12t = 2.22 / 0.0029

12t = 765.52

t = 765.52/12

t = 64.163 years

This means,

About 64 years and 2 months.

Thus,

The time taken to reach $1000000 is 64 years and 2 months.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ1

The solution is

The width of the rectangular aluminum foil whose area is 11 1/4 inches is

2 1/2 inches

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the width of the aluminum foil be represented as = W

Now , the equation will be

The area of the aluminum foil is A = 11 1/4 inches²

The value of A = 11 1/4 inches²

The value of A = 45/4 inches²

Now ,

The length of the aluminum foil L = 4 1/2 inches

The value of L = 4 1/2 inches

The value of L = 9/2 inches

Now , from the equation of area of rectangle

Width of the rectangle W = Area of rectangle A / Length of rectangle L

Substituting the values in the equation , we get

Width of the aluminum foil W = ( 45/4 ) / ( 9/2 )

Width of the aluminum foil W = ( 45/4 ) x ( 2 / 9 )

Width of the aluminum foil W = 5 / 2 inches

Width of the aluminum foil W = 2 1/2 inches

Therefore , the value of W is 2 1/2 inches or 5/2 inches

Hence , The width of the rectangular aluminum foil is 2 1/2 inches

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ1

Answer: D

Step-by-step explanation:

The line is positive and not very steep. For slope, 13 is too steep, -13 and -3 are negative. It must be y-5=3(x-1), which has an accurate slope of 3.

It takes 3.33 hours of time to travel a distance of 150 km by bus

The problem is related to time, which basically depends on the speed at which the bus is moving, as we knew the formula for time is distance/speed, here we are provided with the distance which is  150km also equal to 150000m. For normal conditions where the speed of  the bus is h 45km per hour, therefore

=>Distance = Speed × Time

=>150km = 45 Km/hr × Time

Time = 150/45 hr = 3.33 hr ,Which is almost 3.33 hours

To know more about time  refer to  the link brainly.com/question/23708432

#SPJ4

The area of figure will change quadratically in proportion to length squared when a scale factor is applied

A scale factor is simply a number that multiplies a shape's dimensions. This can enlarge a shape. The scale factor for larger shapes will be greater than one. So, if the scale factor is three, the new shape's dimensions will be three times larger than the original.

A scale factor can also reduce the size of a shape. Smaller shapes have a scale factor that is less than one.

When you dilate a figure, it becomes larger or smaller

With a certain factor, the length of its sides either increases or decreases.

As a result, a change in length will affect the total area of the figure with that scale factor.

To know more about Scale factor here

https://brainly.com/question/22644306

#SPJ4

The side opposite the larger angle is larger and you know that MN>NP, so the angle O's measure is more than the angle Q's measure.

Describe angle.

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned. Angles are also produced when two planes intersect. These are what are known as dihedral angles.

Here,

Greater is the side that is on the other side of the greater angle.

MN>NP.

Consequently, the measure of angle O is greater than angle Q's measure.

Option D is correct since MN>NP is true and the side that opposes the bigger angle is larger. The measure of angle O is therefore greater than the measure of angle Q.

To know more about angles,

brainly.com/question/6814790

#SPJ4

All the given options are correct.

what is random?

The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.

a)Random uncertainty present in the network may exhibit cumulative interactions reflecting the inherent randomness of independent activities within the network.

b)An activity having only a relative small amount of slack could potentially exceed the critical time calculated from the expected critical path.

c)As statistical variances rise in relation to expected duration, the range of uncertainty in near-critical paths will exhibit wider dispersion.

Hence all the given options are correct.

Learn more about random, by the following link.

brainly.com/question/24466382

#SPJ4

Complete Question
Why is it important to evaluate non-critical paths that possess large variances or path times that are close to critical in duration?

A) Random uncertainty present in the network may exhibit cumulative interactions reflecting the inherent randomness of independent activities within the network.
B) An activity having only a relative small amount of slack could potentially exceed the critical time calculated from the expected critical path.
C) As statistical variances rise in relation to expected duration, the range of uncertainty in near critical paths will exhibit wider dispersion.
D) All of the above.

the probability as a fraction will be 3/12.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

the letters of the word better appear on a child's blocks, one letter per block. the child arbitrarily selects two of the blocks.

PE followed R When 2blocks selected) - 5 = Bois obtaining R from the remaining 3 people selected 12 men & 10

Hence the probability as a fraction will be 3/12.

Learn more about Fraction, by the following link.

https://brainly.com/question/17220365

#SPJ4

Solving the word problems, Sandy has 1.5 more bucket of apple than Keith and Jayson has saved 15/4 month of worth pay

This is often a mathematical problem expressed entirely in words typically used as an educational tool.

To solve this type of problem, we have to translate the words into algebraic expressions or equations and solve for the unknown variables.

1)

Keith = 2 5/6 bucket of apples

Sandy = 4 1/3 bucket of apples

We have to convert this from mixed fractions into improper fraction

Keith = 2 5/6 = 17/6 bucket of apples

Sandy = 4 1/3 = 13/3 bucket of apples

To determine how many more bucket of apples Sandy picked than Keith, we simply need to subtract the fractions from one another.

13/3 - 17 / 6 = 3/2 = 1.5

Sandy picked 1.5 more than Keith

2)

To determine how much Jayson has, we simply need to sum up all his money which will be

2 1/2 + 1 1/4

Let's convert the mixed fractions into an improper fraction

2 1/2 + 1 1/4 = 5/2 + 5/4 = 15/4

Jayson saved 15/4 months worth of pay

Learn more on word problem here;

https://brainly.com/question/13818690

#SPJ1

The best approximation for the area of the circle is 201.0in³

The size of a region on a planar or curved surface is expressed mathematically as area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina. Area can be thought of as the amount of a certain thickness of material required to construct a model of the shape. For the areas of basic forms like circles, triangles, and rectangles, there are a number of well-known formulas. Any polygon can be divided into triangles to get its area using these formulas. Calculus is commonly needed to calculate the area of forms having curved boundaries. Calculus' historical growth was in large part driven by the issue of figuring out the area of plane figures.

It is possible to calculate a shape's area.

As we already know that,

The area of a circle=πr²

Here, r=8in

π=3.14

Then,

A=(3.14)(8²)

A=201.0in²

Therefore, Area=201.0in²

Hence, the best approximation for the area of the circle is 201.0in³

To know more about circle area, visit:

https://brainly.com/question/28642423

#SPJ4

The complete question is:

"What is the best approximation for the area of this circle? Use 3.14 to approximate pi. 25.1 in² 50.2 in² 201.0 in² 803.8 in² Circle with radius labeled 8 in."

There are 270725 different ways to select 4 from 52 cards if I don't care about the order of cards in my hand.

Permutation and combination: The process of ordering objects or numbers is known as permutation. Combinations are a method of choosing items or numbers from a collection or group of items so that the order of the items is irrelevant.

Combinations are used to group objects or to determine how many subgroups can be formed from the given collection of objects. Additionally, we use permutations to determine the number of potential combinations of unrelated objects.

For example, if we want to select 2 players from 6. This will be:

= 6! / 2! (6 - 2)!

= 15 ways

In the given question use the combination. We can write as:

[tex]52C_{4}[/tex] = 52!/4! (52-4)!

This expression could be written in the form

[tex]52C_{4}[/tex] = 52!/4! (52-4)!

[tex]52C_{4}[/tex] = 52!/(4! (48)!)

[tex]52C_{4}[/tex] = 52 x 51 x 50 x 49 x 48!/(4 x 3 x 2 x 48!)

As, 48! cancel out. We get,

[tex]52C_{4}[/tex] = 52 x 51 x 50 x 49/24

       = 6497400/24 = 270725

Hence, there are 270725 ways.

To learn more about combination visit: https://brainly.com/question/29594894

#SPJ4

Answer:

the volume of the space left in the larger box for packing materials is 1000 - 512 = 488 cubic inches.

Step-by-step explanation:

To find the volume of the space left in the larger box for packing materials, we first need to calculate the volume of the smaller cube and then subtract it from the volume of the larger box. The volume of a cube with side length s is given by s^3, so the volume of the smaller cube with side lengths of 8 inches is 8^3 = 512 cubic inches. The volume of the larger box with side lengths of 10 inches is 10^3 = 1000 cubic inches

The percentage of the seats in the theater that were filled by the 6th graders on the trip is 88%.

Given that the middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that has 1500 seats and the students filled 1320 of the seats in the theater.

The percentage of the seats in the theater were filled by the 6th graders on the trip will be:

= Number of 6th graders / Total students × 100

= 1320 / 1500 × 100

= 88%

The percentage is 88%.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

We need to use 7 terms to estimate the value of ln(1.4) to within 0.0001.

A Maclaurin series is a function that is used to estimate the values functions, evaluate the sum, or determine the value of the anti-derivative of a function.

We have:

f(x)=ln(1+x)

Expansion of In(1+x) up to seven terms is:

In(1+x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6+ x^7/7

Where it is known that -1 <= x <= 1

Put x=0.4 in the above series:

ln(1.4) = 0.4 - 0.4^2/2 + 0.4^3/3 - 0.4^4/4 + 0.4^5/5 - 0.4^6/6+ 0.4^7/7

We get:

ln(1+4) = 0.3365333

Therefore,  we need 7 terms to estimate the value of ln 1.4 to within 0.0001.

To get more about the Maclaurin series visit:

https://brainly.com/question/13057199

#SPJ4

The final scores will be dependent on the prior ones.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

raw scores for as long as possible before assigning a letter grade to a student.

Because the final scores will be dependent on the prior ones.

Hence The final scores will be dependent on the prior ones.

Learn more about combination, by the following link.

https://brainly.com/question/11732255

#SPJ4