1/3x7 ...............

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Given Equation of line: y=mx+c,

where m = slope of line.

So, we will have to make y the subject to find the slope.

\(2x-3y=19\\2x-3y-2x=19-2x\\-3y=-2x+19\\y=\frac{-2x+19}{-3} \\y=\frac{2}{3} x-\frac{19}{3}\)

From here, we can see the slope of the line is \(\frac{2}{3}\).

Answer: 2/3

Step-by-step explanation:

2x-3y=19

minus 2x from both sides

-3y=-2x+19

divide both sides by -3

y=2/3x-19/3

slope is 2/3

Sigma notation is a shorthand way of writing the sum of a series of terms.

The given expression can be written using sigma notation as:

∞

Σ (2/n)

n=1

This is an infinite series that starts with the term 2/1, then adds the term 2/2, then adds the term 2/3, and so on. The nth term in the series is 2/n.

what is series?

In mathematics, a series is the sum of the terms of a sequence. More formally, a series is an expression obtained by adding up the terms of a sequence. Series are used in many areas of mathematics, including calculus, analysis, and number theory.

To learn more about series visit:

brainly.com/question/15415793

#SPJ11

The angle between line segment AH and the surface EFGH is approximately 24.2°.

The angle (\(\theta\)), in sexagesimal degrees, lies between the line segment AH, in centimeters, and the line segment HF, in centimeters, whose length is found by the following trigonometric relation:

\(\theta = \cos^{-1} \left(\frac{HF}{HA} \right)\) (1)

Where each length is determined by the following formulas:

\(HF = \sqrt{HG^{2}+FG^{2}}\) (3)

\(HA = \sqrt{HF^{2}+FA^{2}}\) (4)

If we know that \(HG = 17\,cm\), \(FG = 5\,cm\) and \(FA = 8\,cm\), then the angle between AH and the surface EFGH is:

\(HF = \sqrt{(17\,cm)^{2}+(5\,cm)^{2}}\)

\(HF \approx 17.7\,cm\)

\(HA = \sqrt{(17.7\,cm)^{2}+(8\,cm)^{2}}\)

\(HA \approx 19.4\,cm\)

\(\theta \approx \cos^{-1} \left(\frac{17.7\,cm}{19.4\,cm} \right)\)

\(\theta \approx 24.2^{\circ}\)

The angle between line segment AH and the surface EFGH is approximately 24.2°.

To learn more on solids, we kindly invite to check this verified question: https://brainly.com/question/9740924

False

• Correlation means that there is a relationship or patter between the two variables. A scatter plot displays the data about the two variables as a set of points in the x-y plane and it is a useful tool for determining if there is a correlation between the variables.

• Causation means the one event causes other event to occur. It can only be determined by designed experiment.

• While correlation and causation both can exist at the same time, correlation doesn’t imply causation.

• Causation explicitly applies only to cases where action P causes outcome Q whereas correlation is simply a relationship.

Correlation doesn’t prove causation.

There could be third variable associated with the size of engine which caused the truck to have greater horsepower. For example, it can be that manufacturers anticipate that consumers who wanted trucks with greater horsepower also prefered trucks with larger engines and therefore chooses to make trucks with larger horsepower.

Learn more about correlation and causation here

https://brainly.com/question/12479370

#SPJ4

Answer:

the answer is d

Step-by-step explanation:

Can i have brainliest?

Monique needs 30 ounce orange juice with the 20 ounce pineapple juice to maintain the ratio of pineapple juice.

How much quantity of orange juice does Monique need to maintain the ratio of pineapple to orange juice?

Given that,

Quantity of pineapple juice by 20 people = 32 ounces

Quantity of orange juice by 20 people = 48 ounces

Consider the quantity Monique needs = x

Therefore, their ratio is as follow

⇒ 20/x  =  32/48

⇒ 20/x  =  2/3

⇒     x=60/2

⇒     x=30

Hence Monique needs 30 ounce orange juice with the 20 ounce pineapple juice to maintain the ratio of pineapple juice.

Learn more about calculation of ratio visit:

https://brainly.com/question/25927869

#SPJ1

Answer:

C, 10^3

Step-by-step explanation:

To get from 22 to 22000, you need to times by 1000. The power in this case represents the amount of zeros added to a number. Hope this helped!

10³ multiply 22 by to get an answer of 22,000.

The correct option is (D)

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

We have to multiply 22 such that it gives 22, 000.

let the number that being multiplied be x.

So, 22x = 22000

x= 22000/22

x= 1000

x= 10³

Hence, 10³ multiply 22 by to get an answer of 22,000.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

For this problem, we were informed that 1/15 of the fence was painted in 15 minutes. We need to calculate the time it will take to paint the whole fence, assuming that the same speed is maintained.

In order to do that we need to assign a variable "t" to the time it will take to paint the fence, then we need to multiply the fraction 1/15 with this variable, and make it equal to 15 minutes, then we need to solve for "t". This is done below:

The process of painting the whole fence will take 225 minutes at that rate.

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

To learn more about equations

brainly.com/question/29657983

#SPJ4

Answer:

1

Step-by-step explanation:

1+1=2

Click below for more info

Answer:

1. 10

2. 3

3. 7

4. 2x

5. 6x

6. none(1)

7.x

8. 7xy

9. 1

10. 5x

Step-by-step explanation:

Answer:

\(\displaystyle x \approx 9.2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:  

Step 1: Define

Angle θ = 35°

Opposite leg = x

Hypotenuse = 16

Step 2: Solve for x

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

Learn more about velocity

https://brainly.com/question/30559316

Answer:

Step-by-step explanation:

Tan 70 = 16/x

x = 16/tan70

x = 5.824 to the nearest thousandth

tan 41 = 16 / (x + y)

tan 41 = 16 /(5.8235 + y)

tan41(5.8235 + y) = 16

5.8235 + y = 16/ tan41

y = (16/ tan41) - 5.8235

y = 12.582 to the nearest thousandth

The 400 m^2 garden is divided into 16 equal parts to get 400/16 = 25. Each smaller square is 25 m^2 in area.

Apply the square root to get the side length

sqrt(25) = 5

Each smaller square is 5 meters by 5 meters.

Answer:

here we go dude sorry for dirty handwriting

Answer:

1-5        Freq: 4

6-10      Freq: 4

11-15      Freq: 1

16-20    Freq: 1

Step-by-step explanation:

To find the Freq. for example between, 1 to 5 you just have to look at the Distance in miles and see how many numbers that range from 1 to 5 there are; in this case ( 1, 1, 2, and 3 = 4 freq.)

The experimental probability of randomly drawing a green marble is 56%

The table of values is given as:

| Red | Blue | Green |

| 10 | 12 | 28 |

So, we have

P(Green) = Green/Total

This gives

P(Green) = 28/(10 + 12 + 28)

Evaluate

P(Green) = 56%

Hence, the experimental probability of randomly drawing a green marble is 56%

Read more about probability at

https://brainly.com/question/12344616

#SPJ1

Answer:

56

Step-by-step explanation:

because it is a right angle so 90 _ 34 = 56

Answer:

the answer should be 56 as 90-34=56

Step-by-step explanation:

\( \underline{ \underline{ \text{Given \: points}}} : \)

Let the point C ( 3 , -2 ) be ( x₁ , y₁ ) & the point D ( 7 , -8 ) be ( x₂ , y₂ ) .

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Solution}}} : \)

\( \boxed{ \sf{Distance = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} - y_{1})^{2} } }}\)

⇢ \( \tt{CD = \sqrt{ {(7 - 3)}^{2} + {( - 8 - ( - 2))}^{2} } }\)

⇢ \( \tt{CD = \sqrt{ {(4)}^{2} + {( - 8 + 2)}^{2} } }\)

⇢ \( \tt{CD = \sqrt{16 + {( - 6)}^{2} } } \)

⇢ \( \tt{CD = \sqrt{16 + 36}} \)

⇢ \( \tt{CD = \sqrt{52}} \)

⇢ \( \tt{CD = 7.2 \: units}\)

\( \pink{ \boxed{\underline{ \underline{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{7.2 \: \text{units}}}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Step-by-step explanation:

The possible pathways are as follows:

(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Answer:

Option B.

Step-by-step explanation:

Hope it helps! =D

8% of 15.66= 1.2528

Turn 1.2528 into 1.2

15.66+1.2= 16.89

$16.86

The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)

Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.

Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),

where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)

For card h,

A = 1186.44(1 + 0.1474/1)^(1*3)

A = 1883.99

For card i, A = 1522.16(1 + 0.1205/12)^(12*3)

A = 1973.23

Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24

The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.

To know more about interest rate visit: https://brainly.com/question/28272078

#SPJ11

The trigonometric function is given as

Apply the half angle identity to find the value of tan 75 ,

Here,

Now rationalize the function.

Again simplify the trigonometric function,

Hence the answer is 3.732.

Answer:

Step-by-step explanation:

9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)

The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.

Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.

To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:

P(drawing two red marbles) = P(red on first draw) × P(red on second draw)

P(drawing two red marbles) = (3/10) × (3/10)

= 9/100

Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

Answer: D 108,900

Step-by-step explanation:

The Implied Equity Risk Premium (ERP) is generally considered a better predictor of future equity risk premium

Implied Equity Risk Premium is derived from the current market prices of stocks and other securities. It represents the difference between the expected rate of return on equities and the risk-free rate of return. Investors' expectations about future returns are embedded in market prices, so the implied ERP reflects the collective wisdom and expectations of market participants. It takes into account current market conditions, investor sentiment, and other relevant factors, making it a forward-looking indicator.

On the other hand, historical geometric average and historical arithmetic average equity risk premium are calculated based on past performance data. While historical averages provide valuable insights into the past behavior of equity risk premium, they may not fully capture the changing dynamics of the market or reflect future expectations.

Learn more about implied ERP at

https://brainly.com/question/31829257

#SPJ4