system of measure that added prefixes to change the unit’s equivalence??​

Answer:

\(x = \frac{y - 1}{3} \\ x = 5 - y\)

Step-by-step explanation:

\(1. \: 3x = - 1 + y \\ 2. \: 3x = y - 1 \\ 3. \: x = \frac{y - 1}{3} \\ \\ 1. \: y = 5 - x \\ 2. \: y - 5 = - x \\ 3. \: - y + 5 = x \\ 4. \: 5 - y = x \\ 5. \: x = 5 - y\)

The polynomial 7/4x + 3 is a linear polynomial as its degree is 1

Degree is known as the highest power of the variable x in a given polynomial.

According to the degree,

If degree is 1 then the polynomial is called linear polynomial.

If degree is 2 the it is called quadratic polynomial.

If degree is 3 then it is called cubic polynomial and so on

In the given question the polynomial is 7/4x + 3. Here the degree of the polynomial is 1 that is the highest power of the variable x. Thus the polynomial will be linear polynomial.

Hence the polynomial 7/4x + 3 is linear polynomial.

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The size of angle DAB in the quadrilateral is 48°.

The sum of the interior angles of a quadrilateral is 360°. We can say:

\(\angle \text{A} +\angle\text{B} + \angle\text{C} + \angle\text{D} = 360^\circ\)

\(\angle \text{A} +38^\circ + \angle\text{C} + 226^\circ = 360^\circ\)

\(\angle \text{A} + \angle\text{C} + 264^\circ = 360^\circ\)

\(\angle \text{A} + \angle\text{C} = 360^\circ- 264^\circ\)

\(\angle \text{A} + \angle\text{C} = 96\)

Since angles DAB and BCD are the same size. This implies ∠A  = ∠C. Thus:

\(\angle\text{A} + \angle\text{A} = 96\)

\(2\angle\text{A} = 96\)

\(\angle\text{A} = \dfrac{96}{2}\)

\(\angle\text{A} = 48^\circ\)

Therefore, the size of angle DAB is 48°.

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The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

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The number of people that can attend Jordan's party would be; 50 people.

The equation that represents the total amount that would be spent at the party would be a linear equation. A linear equation increases at a constant rate.

The form of the linear equation will be;

The Total amount = rental fee + (charge per hour of the Dynamic DJ x number of hours he plays) + (cost per person of Roscoe's rentals x number of people)

Now substitute;

$800 = $400 + ($50 x 4) + ($4 x p)

$800 = $400 + $200 + 4p

$800 = $600 + 4p

$800 - $600 = 4p

$200 = 4p

p = $200 / $4

p = 50 people

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Answer:

yes it does

17 is the longest side.

Iff  Iff 17%5E2+=+8%5E2+%2B+15%5E2 it's a right triangle.  it's a right triangle.

Ps "iff" means if and only if

hope it helps

if so please mark me  as brainliest

Answer: for the first one, there is no picture i need a picture to solve it that's also for the second one.

Step-by-step explanation:

hope that helps

For each t-shirt sold, which I'll call t, 8th grade makes $15.

For each hat sold, which I'll call h, 8th grades makes $5.

They want to raise $900

A: The equation to represent this situation is 15t+5h=900 because if 8th grade adds up all the profits from both hats and t-shirts, the goal is to make $900, so the total profit from shirts and hats should equal 900 dollars.

B: I'm just going to choose random numbers. Let's say nobody wanted to buy a hat from the 8th graders (h=0). You'd end up with

15t+5(0)=900

15t=900

t=60 - If they sold 0 hats they would have sold 60 shirts to raise $900

Now let's say it was the other way around - nobody wanted to buy t-shirts

15(0)=5h=900

5h=900

h=180 - If they sold 0 t-shirts they'd have to sell 180 hats to raise $900

Finally let's say they sold 30 t-shirts

15(30)+5h=900

450+5h=900

5h=450

h=90 - They'd have to sell 30 t-shirts and 90 hats to raise $900

The required value of the given integral \(\int\limits_C xydx+x^2y^3dy\) and vertices (0, 0), (1, 0), and (1, 4) by both direct and Green's theorem method is 20.  

The integral of a function over a line or curve is known as a line integral. First, we have to determine the limit of the integral using the given vertices.

\(\mathrm{C_1:(0,0)\;to\;(1,0): r_1(t)=ti\;\;\ 0 \geq t\geq1}\\\mathrm{C_2: (1,0)\;to\;(1,4): r_2 (t) = i+4tj\;\;\ 0 \geq t\geq1}\\\mathrm{C_3: (1,4)\;to\;(0,0):r_3 (t) = (1-t)i+(4-4t)j\;\;\; 0\geq t\geq1}\)

Then, the required direct line integral is,

\(\begin{aligned}\int\limits_C xydx+x^2y^3dy&=\int\limits^1_0 (t)(0)(1)+t^2(0)^3(0)dt\\&+\int\limits^1_0(1)(4t)(0)+1^2(4t)^3(4)dt\\&+\int\limits^1_0 (1-t)(4-4t)(-1) +(1-t)^2 (4 - 4 t )^3 (-4) dt \\&=\int\limits^1_0 256t^3dt+\int\limits^1_0 -4(1-t)^2-256(1-t)^5dt\\&=64-\frac{4}{3}-\frac{128}{3}\\&=20\end{aligned}\)

b) A simple link between the macroscopic circulation around curve C and the total amount of the microscopic circulation that is inside C is known as Green's theorem. A line integral can occasionally be converted into a double integral using Green's theorem, and the reverse is also sometimes true. By Green's theorem, \(\oint Mdx+Ndy= \iint_R \frac{\partial N}{\partial x}-\frac{\partial M}{\partial y} dA\)

Then, the required line integral using Green's theorem,

\(\begin{aligned}\oint xydx+x^2y^3dy&=\int\limits^1_0 \int\limits^{4x}_0(2xy^3-x) dydx\\&=\int\limits^1_0 \left[\frac{xy^4}{2}-xy \right]^{4x}_0dx\\&=\int\limits^1_0 (128x^5-4x^2)dx\\&=\left[\frac{64x^6}{3}-\frac{4x^3}{3}\right]^1_0\\&=20\end{aligned}\)

The required answer obtained by both direct and Green's theorem method is 20.

The complete question -

Evaluate the line integral by the two following methods.

\(\int\limits_C xydx+x^2y^3dy\) C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4).

(a) directly

(b) using Green's Theorem

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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Answer:

13,956,779.6764

Answer:

13956 779.7 (•‿•) this is my ans.

Answer:

$ 1,657.50

Step-by-step explanation:

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

A = 1500(1 + (0.07 × 1.5)) = 1657.5

A = $ 1,657.50

The total amount accrued, principal plus interest,

from simple interest on a principal of $ 1,500.00

at a rate of 7% per year

for 1.5 years is $ 1,657.50.

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The simple interest is $ 157.50 and amount after 1.5 years is $ 1657.50

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) 100

Given data ,

Let the deposit amount be Principal P = $ 1500

Let the rate of interest be R = 7 %

Let the number of years be T = 1.5 years

Now , the simple interest is calculated by the formula ,

Simple Interest I = ( Principal x Rate x Time ) / 100

Substituting the values in the equation , we get

Simple Interest I = ( 1500 x 7 x 1.5 ) / 100

Simple Interest I = 15 x 10.5

Simple Interest I = $ 157.50

Therefore , the amount after 1.5 years is given as

Amount A = Principal P + Simple Interest

Amount A = 1500 + 157.50

Amount A = $ 1657.50

Therefore , the value of A is $ 1657.50

Hence , The amount after 1.5 years is $ 1657.50

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Answer: GACI

Step-by-step explanation:

Solution:

Given that Bob mixes his 20 ounce protein shake that is 50% milk with 10 more ounces of whole milk,

let x represent the concentration of milk.

Thus, we have

The required value of y for the given segment AB is given as y = 16, -8.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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Answer:

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately 0%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If the daily returns on the stock market are normally distributed with a mean of .05% and a standard deviation of 1%

This means that \(\mu = 0.05, \sigma = 1\)

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately

This is the p-value of Z when X = -23. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{-23 - 0.05}{1}\)

\(Z = -23.05\)

\(Z = -23.05\) has a p-value of approximately 0. So

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately 0%.

Answer:

Kids = β(0) + β(1) educ + E

Step-by-step explanation:

Kids = β(0) + β(1) educ + E

Where "E" stands in for other factors, such as maybe an error in the estimated age of the mother, an error in the predicted income level, or even an error in religion. And we all know for certainty, that whereever education is being discussed, age and income would always be related.

Answer:

1/8

Step-by-step explanation:

For the match to be finished after 3 games are played, it means that 1 person my win 3 games in a row.

Since each player has a 50% chance of winning, the chances of it would be

1/2*1/2*1/2 or (1/2)^3

Therefore the answer is 1/8 chance

The probability that the match will be finished after the first 3 games are played is \(\frac{1}{8}\)

Since the match to be finished after 3 games are played this represent that 1 person my win 3 games in a row.

Each player has a 50% chance of winning, the chances of it should be

\(= (1\div 2)^3\\\\= \frac{1}{8}\)

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Answer:

9/13

Step-by-step explanation:

The ratio of

do not wear glasses : those who do wear glasses = 9 / 13

Be sure and keep the numbers opposite their descriptions.

9 is across from those who wear glasses

13 is across from those who do not wear glasses.

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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Answer: A

because slope are

Answer:

how are we supposed to now if u didnt give the ratio

Step-by-step explanation:

Answer:

Jerome was penalized 4 times.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

Each penalty changes her score by 5 points. Her score was changed by 20 points. How many penalties?

1 penalty - 5 points

x penalties - 20 points

\(5x = 20\)

\(x = \frac{20}{5}\)

\(x = 4\)

Jerome was penalized 4 times.

Solution

Let x be the number of pennies Ann's bank can hold

So, from the question we have that

The answer is 1000 pennies

Answer:

9 times

Step-by-step explanation:

1 goes into 9, 9 times

1+1=2

2+1=3

3+1=4

4+1=5

5+1=6

6+1=7

7+1=8

8+1=9